2008-06-20 22:01:27 +00:00
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#LyX 1.6.0svn created this file. For more info see http://www.lyx.org/
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2008-07-03 00:31:45 +00:00
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\lyxformat 338
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2008-02-12 22:22:36 +00:00
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\begin_document
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\begin_header
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\textclass scrartcl
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\begin_preamble
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% DO NOT ALTER THIS PREAMBLE!!!
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%
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% This preamble is designed to ensure that the file prints
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% out as advertised. If you mess with this preamble,
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% parts of this document may not print out as expected. If you
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% have problems LaTeXing this file, please contact
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% the documentation team
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% email: lyx-docs@lists.lyx.org
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% if pdflatex is used
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\usepackage{ifpdf}
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\ifpdf
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% set fonts for nicer pdf view
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{\usepackage{lmodern}}{}
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\fi % end if pdflatex is used
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% Folgendes Problem lösen:
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% Besteht die Kapitelnummer aus zu vielen Ziffern, wird die
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% Kapitelüberschrift im Inhaltsverzeichnis direkt an oder über
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% die Kapitelnummer geschrieben.
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% Als Lösung wird mehr Platz zwischen Nummer und
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% Überschrift eingefügt.
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\renewcommand{\l@subsection}{\@dottedtocline{2}{1.5em}{2.8em}}
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\renewcommand{\l@subsubsection}{\@dottedtocline{3}{4.3em}{3.6em}}
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% To be able to enter the character ° and · directly in LyX,
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% see sec. 22.11
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\DeclareInputText{176}{\ifmmode^\circ\else\textdegree\fi}
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\DeclareInputText{183}{\ifmmode\cdot\else\textperiodcentered\fi}
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% increase link area for cross-references and autoname them,
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\AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
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\newlength{\abc}
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\settowidth{\abc}{\space}
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2008-07-09 00:11:51 +00:00
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\addto\extrasfrench{
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\renewcommand{\equationautorefname}{\hspace{-\abc}}
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\renewcommand{\sectionautorefname}{sec.\negthinspace}
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\renewcommand{\subsectionautorefname}{sec.\negthinspace}
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\renewcommand{\subsubsectionautorefname}{sec.\negthinspace}}
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2008-02-12 22:22:36 +00:00
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% don't load packages twice
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% see first footnote in sec. 9.3
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\@ifundefined{textcolor}{\usepackage{color}}{}
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2008-07-10 23:08:38 +00:00
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% the pages of the TOC are numbered roman
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2008-02-12 22:22:36 +00:00
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% and a PDF-bookmark for the TOC is added
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2008-06-21 13:48:27 +00:00
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\pagenumbering{roman}
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2008-02-12 22:22:36 +00:00
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\let\myTOC\tableofcontents
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\renewcommand{\tableofcontents}{%
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\vspace{1cm}
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2008-06-21 01:51:53 +00:00
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\pdfbookmark[1]{\contentsname}{}
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2008-02-12 22:22:36 +00:00
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\myTOC
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\cleardoublepage
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\pagenumbering{arabic}}
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% insert additional vertical space of 1.5 mm between footnotes,
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\let\myFoot\footnote
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\renewcommand{\footnote}[1]{\myFoot{#1\vspace{1.5mm}}}
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% provides caption formatting
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\setkomafont{captionlabel}{\bfseries}
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% used in Kap. 22.4
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\usepackage{braket}
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% used in Kap. 22.6
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\usepackage[samesize]{cancel}
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% enables calculation of values,
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\usepackage{calc}
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% for multiple table row and column cells
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\usepackage{multirow}
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\usepackage{multicol}
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% needed for diagrams
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\usepackage{amscd}
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% needed in sec. 19.4
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\usepackage{remreset}
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% center multirows (e.g. in sec. 13.3)
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\renewcommand{\multirowsetup}{\centering}
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% define a color, used in sec.9.3
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\definecolor{vertfonce}{cmyk}{0.5, 0, 1, 0.5}
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% declare operators (see sec. 10.4 and sec. 15.2)
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\DeclareMathOperator*{\Losange}{\blacklozenge}
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\DeclareMathOperator{\sgn}{sgn}
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\newcommand{\spce}{\textvisiblespace}
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% example definitions for sec. 20.1
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\newcommand{\gr}{\Longrightarrow}
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\newcommand{\us}[1]{\underline{#1}}
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\newcommand{\fb}[3]{\framebox#1#2{$#3$}}
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\newcommand{\cb}[3][white]{\fcolorbox{#2}{#1}{$#3$}}
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\newcommand{\fracS}[3][]{\genfrac{}{}{#1}{}{#2}{#3}}
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% example macro from sec. 19.4
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%\def\tagform@#1{\maketag@@@{|#1|}}
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% macro from sec. 10.2
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\def\clap#1{\hbox to 0pt{\hss #1\hss}}
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\def\mathclap {\mathpalette \mathclapinternal}
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\def\mathclapinternal #1#2{\clap{$\mathsurround =0pt #1{#2}$}}
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% redefine the greyed out note
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\renewenvironment{lyxgreyedout}
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{\textcolor{blue}\bgroup}{\egroup}
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2008-07-07 00:10:22 +00:00
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% ------------------------------------
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% used to check for needed LaTeX packages
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\usepackage{ifthen}
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2008-02-12 22:22:36 +00:00
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% check for package eurosym
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% used for the Euro symbol
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\newboolean{eurosym}
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\IfFileExists{eurosym.sty}
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{\usepackage[gennarrow]{eurosym}
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\setboolean{eurosym}{true}}
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{\setboolean{eurosym}{false}}
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% needed in sec. 22.10
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% check for package upgreek
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\newboolean{upgreek}
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\IfFileExists{upgreek.sty}
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{\usepackage{upgreek}
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\setboolean{upgreek}{true}}
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{\setboolean{upgreek}{false}}
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2008-07-21 22:23:43 +00:00
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% use normal list environments also in French documents
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\StandardLayout
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2008-02-12 22:22:36 +00:00
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\end_preamble
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\options bibtotoc,idxtotoc,BCOR7.5mm,titlepage,tablecaptionabove
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\language french
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\inputencoding auto
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\font_roman default
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\font_sans default
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\font_typewriter default
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\font_default_family default
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\font_sc false
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\font_osf false
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\font_sf_scale 100
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\font_tt_scale 100
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2008-06-20 22:01:27 +00:00
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2008-02-12 22:22:36 +00:00
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\graphics default
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\paperfontsize 12
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\spacing single
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2008-03-29 04:25:35 +00:00
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\use_hyperref true
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\pdf_title "Manuel mathématique de LyX"
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\pdf_author "L'équipe LyX, Uwe Stöhr, traducteur: Siegfried Meunier-Guttin-Cluzel"
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\pdf_subject "Documentation sur les mathématiques avec LyX"
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\pdf_keywords "LyX, Mathed"
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\pdf_bookmarks true
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\pdf_bookmarksnumbered true
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\pdf_bookmarksopen true
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\pdf_bookmarksopenlevel 1
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\pdf_breaklinks false
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\pdf_pdfborder false
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\pdf_colorlinks true
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\pdf_backref false
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\pdf_pagebackref false
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\pdf_pdfusetitle false
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\pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false, pdfpagelabels"
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2008-02-12 22:22:36 +00:00
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\papersize a4paper
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\use_geometry false
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\use_amsmath 2
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\use_esint 1
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\cite_engine basic
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\use_bibtopic false
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\paperorientation portrait
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\secnumdepth 4
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\tocdepth 3
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\paragraph_separation skip
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\defskip medskip
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\quotes_language english
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\papercolumns 1
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\papersides 2
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\paperpagestyle plain
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\bullet 1 0 6 -1
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\bullet 2 2 35 -1
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\bullet 3 2 7 -1
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\tracking_changes false
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\output_changes false
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\author ""
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\author ""
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\end_header
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\begin_body
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\begin_layout Title
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Manuel mathématique détaillé de LyX
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\end_layout
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\begin_layout Author
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par l'équipe LyX
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\begin_inset Foot
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2008-02-26 23:32:51 +00:00
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status collapsed
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2008-02-12 22:22:36 +00:00
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\noindent
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Si vous avez des commentaires ou des corrections d'erreurs, faites les parvenir
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à la liste de diffusion de la documentation de LyX:
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\family typewriter
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2008-03-29 04:25:35 +00:00
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\begin_inset CommandInset href
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LatexCommand href
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name "lyx-docs@lists.lyx.org"
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target "lyx-docs@lists.lyx.org?subject=LyX's Math manual"
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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\begin_inset Note Note
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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auteur: Uwe Stöhr
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\end_layout
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-03-29 04:25:35 +00:00
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traducteur: Siegfried Meunier-Guttin-Cluzel
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2008-02-12 22:22:36 +00:00
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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\begin_inset Newline newline
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\family sans
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2008-03-28 01:54:17 +00:00
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Version 1.6svn
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2008-02-12 22:22:36 +00:00
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\end_layout
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\begin_layout Standard
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset toc
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LatexCommand tableofcontents
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset Note Note
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2008-03-29 04:25:35 +00:00
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status open
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2008-02-12 22:22:36 +00:00
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Pour pouvoir exporter ce document en PDF, PS, ou DVI les paquetages LaTeX
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\series bold
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eurosym,
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\series default
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\series bold
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multirow,
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\series default
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et
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\series bold
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was
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\series default
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doivent être installés.
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S'ils ne sont pas installés, vous pouvez quand même exporter votre document,
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mais les sections où ces paquetages sont nécessaires ne seront pas visibles
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sur la sortie finale.
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Introduction
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name "sec:Introduction"
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\begin_layout Standard
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Ce document explique les fonctions mathématiques de LyX et c'est aussi une
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collection de commandes LaTeX utilisées pour les symboles et les constructions
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mathématiques.
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Les explications mettent l'accent sur l'utilisation des commandes, il est
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donc indispensable que vous ayez déjà lu la section sur les
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\family typewriter
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Formules Mathématiques
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du Manuel de l'Utilisateur.
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La plupart des symboles et plusieurs constructions expliquées dans ce manuel
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sont aussi accessibles par le menu
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\family sans
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Insérer\SpecialChar \menuseparator
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Math
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, ou par la
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barre d'outils mathématique.
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\family default
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Mais quand on tape beaucoup de formules, on constate vite qu'il est plus
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rapide d'utiliser une commande plutôt que la barre d'outils.
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C'est pourquoi ce manuel se focalise sur les commandes tout en mentionnant
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les boutons correspondants quand il y en a de disponibles.
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\begin_layout Standard
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Sauf mention contraire les commandes ne sont disponibles qu'au sein d'une
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formule.
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Pour pouvoir utiliser toutes les commandes expliquées dans ce document
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il faut utiliser l'option
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Utiliser le paquetage math AMS
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dans les paramètres du document (menu
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Document\SpecialChar \menuseparator
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Paramètres\SpecialChar \menuseparator
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Options mode math
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)
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\begin_layout Plain Layout
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L'option
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Utiliser automatiquement le paquetage math AMS
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\family default
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n'utilise les maths-
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\begin_inset ERT
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2008-02-12 22:22:36 +00:00
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\backslash
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2008-03-28 01:54:17 +00:00
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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que si on utilise des constructions mathématiques qui sont reconnues par
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LyX.
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\end_layout
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\end_inset
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\begin_layout Standard
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Ce document ne liste pas la totalité des commandes math-
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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AmS
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\end_inset
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2008-03-28 01:54:17 +00:00
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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pour des raisons de bon sens
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\begin_inset Foot
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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On trouve une liste de toutes les commandes math-
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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AmS
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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dans le fichier
|
2008-03-29 04:25:35 +00:00
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\family sans
|
2008-02-12 22:22:36 +00:00
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2008-03-29 04:25:35 +00:00
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\begin_inset CommandInset href
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LatexCommand href
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name "amsguide.ps"
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target "ftp://ctan.tug.org/tex-archive/macros/amstex/doc/amsguide.ps"
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\family default
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, qui est inclus dans toutes les installations LaTeX standard.
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\end_layout
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\end_inset
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.
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\end_layout
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\begin_layout Section
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Instructions générales
|
2008-03-28 01:54:17 +00:00
|
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\begin_inset CommandInset label
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
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name "sec:Instructions-générales"
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour créer une formule en ligne
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! en ligne
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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c'est-à-dire qui soit incorporée à la ligne de texte, appuyez sur
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\family sans
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Ctrl-m
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\family default
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ou sur le bouton
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\begin_inset Graphics
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filename ../../images/math-mode.png
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scale 85
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\end_inset
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de la barre d'outils
|
2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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Pour créer une formule hors ligne
|
2008-03-28 01:54:17 +00:00
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|
\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! hors ligne
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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c'est-à-dire qui apparaîtra plus grosse et qui aura son propre paragraphe,
|
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appuyez sur
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\family sans
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Ctrl-M
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\family default
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.
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\end_layout
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\begin_layout Standard
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Pour changer une formule en ligne en une formule hors ligne, placez le curseur
|
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dans la formule et appuyez sur
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\family sans
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Ctrl-M
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\family default
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ou utilisez
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\family sans
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Éditer\SpecialChar \menuseparator
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Math\SpecialChar \menuseparator
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Changer le type de formule
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\family default
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.
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De la même façon, on peut changer une formule hors ligne en une formule
|
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en ligne.
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\end_layout
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\begin_layout Standard
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Pour afficher des parties d'une formule en ligne avec la même taille qu'une
|
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formule hors ligne, entrez la commande
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\series bold
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\backslash
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displaystyle
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! D !
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\backslash
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displaystyle
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\series default
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dans la formule.
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Une nouvelle boîte bleue apparaît alors dans laquelle on peut insérer les
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parties de formules qui doivent avoir la taille hors ligne.
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\end_layout
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\begin_layout Standard
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Seules les formules en ligne sont autorisées dans les tableaux.
|
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\end_layout
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\begin_layout Standard
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La barre d'outils mathématique peut être activée avec le menu
|
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\family sans
|
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|
Visualiser\SpecialChar \menuseparator
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Barres d'outils
|
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|
\family default
|
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.
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Quand vous y cliquez sur
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\begin_inset Quotes eld
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\end_inset
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Math
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\begin_inset Quotes erd
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\end_inset
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la barre d'outils s'affiche de façon permanente en bas de l'interface;
|
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|
cet état est visualisé dans le menu
|
|
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|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Barres
|
2008-06-04 22:36:44 +00:00
|
|
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
|
|
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|
d'outils
|
|
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|
|
\family default
|
|
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|
|
par une coche.
|
|
|
|
|
|
Si, dans cet état, vous cliquez une nouvelle fois sur
|
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|
\begin_inset Quotes eld
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\end_inset
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Math
|
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\begin_inset Quotes erd
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\end_inset
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la barre d'outils ne s'affichera plus que lorsque le curseur se trouvera
|
|
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|
|
|
à l'intérieur d'une formule; cet état est visualisé en changeant l'entrée
|
|
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|
|
|
de menu de
|
|
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|
|
\begin_inset Quotes eld
|
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\end_inset
|
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Math
|
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\begin_inset Quotes erd
|
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\end_inset
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en
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Math (auto)
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\begin_layout Standard
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Le mode TeX
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\begin_inset Index
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Mode TeX
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2008-02-12 22:22:36 +00:00
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\end_inset
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est activé en appuyant sur le bouton
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\begin_inset Graphics
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filename ../../images/ert-insert.png
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scale 85
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\end_inset
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de la barre d'outils ou en utilisant le menu
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\family sans
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Insérer\SpecialChar \menuseparator
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2008-03-28 01:54:17 +00:00
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Code
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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\end_inset
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2008-07-03 00:31:45 +00:00
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Te
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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2008-07-03 00:31:45 +00:00
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{}
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\end_layout
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\end_inset
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\family default
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(raccourci
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\family sans
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Ctrl-l
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\family default
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).
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\begin_inset Note Note
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status collapsed
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Dans LyX il y a trois
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\begin_inset Quotes eld
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\end_inset
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nom propres
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\begin_inset Quotes erd
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\end_inset
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qui apparaissent dans la sortie finale avec des lettres mises en indice
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ou en exposant: TeX, LaTeX, et LyX
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\end_layout
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-07-21 22:23:43 +00:00
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Pour éviter que ces noms soient reconnus comme des noms propres, on insère
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une paire d'accolades TeX .
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2008-02-12 22:22:36 +00:00
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour modifier le préambule LaTeX
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Préambule LaTeX
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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, on utilise le menu
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\family sans
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Document\SpecialChar \menuseparator
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Paramètres\SpecialChar \menuseparator
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2008-03-28 01:54:17 +00:00
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Préambule
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-07-03 00:31:45 +00:00
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LaT
|
2008-02-12 22:22:36 +00:00
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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2008-07-03 00:31:45 +00:00
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{}
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2008-02-12 22:22:36 +00:00
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\end_layout
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\end_inset
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eX
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\family default
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.
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\end_layout
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\begin_layout Standard
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Pour éditer des matrices, des différentiations de cas et des formules multiligne
|
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s après coup, on peut utiliser les menus
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\family sans
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Éditer\SpecialChar \menuseparator
|
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Math
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\family default
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and
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\family sans
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Éditer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
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Lignes
|
2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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&
|
2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
|
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colonnes,
|
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\family default
|
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ou la barre d'outils
|
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\family sans
|
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Tableau
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\family default
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.
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|
Quand deux lignes ou deux colonnes sont permutées à l'aide du menu, la
|
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|
ligne ou la colonne où se trouve le curseur est échangée avec la ligne
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d'en dessous ou la colonne directement à droite.
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Si le curseur se trouve dans la dernière ligne ou colonne, l'échange se
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fera avec la ligne précédente ou la colonne directement à gauche.
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\end_layout
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\begin_layout Standard
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Quand on veut écrire du texte dans des formules
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Pour les formules multilignes, on utilise la commande
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\series bold
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\backslash
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intertext,
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\series default
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voir
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
reference "sub:Texte-dans-multi-lignes"
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\end_inset
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.
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\end_layout
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\end_inset
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, on doit utiliser du
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\emph on
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texte mathématique
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\emph default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Texte ! dans les formules
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Mathématique, texte
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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.
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Ce mode est invoqué à l'aide du raccourci
|
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\family sans
|
2008-03-28 01:54:17 +00:00
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Alt-m
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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m
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\family default
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ou en insérant la commande
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\series bold
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\backslash
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text
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! T !
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\backslash
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text
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\series default
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.
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Dans LyX, le texte apparaît en noir et peut donc être distingué des autres
|
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|
parties de la formule qui apparaissent en bleu.
|
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|
Dans la sortie finale, le texte mathématique est en caractères droits,
|
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|
contrairement aux autres éléments de formule.
|
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\end_layout
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\begin_layout Subsection*
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Syntaxe des commandes
|
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\end_layout
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\begin_layout Standard
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La plupart des commandes LaTeX utilisées dans les constructions mathématiques
|
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|
suivent la syntaxe suivante:
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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nomdelacommande[argument optionnel]{argument obligatoire}
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\end_layout
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\begin_layout Standard
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|
Une commande commence toujours par une barre de fraction inverse (anti-slash)
|
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|
\begin_inset Quotes gld
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\end_inset
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\series bold
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\backslash
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\series default
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\begin_inset Quotes grd
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\end_inset
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.
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Pour omettre l'argument optionnel, il faut aussi omettre les crochets qui
|
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|
vont avec.
|
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|
Les accolades placées autour des arguments obligatoires seront nommées
|
|
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|
|
accolade TeX dans ce document
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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status collapsed
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|
\begin_layout Plain Layout
|
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|
Accolades TeX
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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.
|
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|
Si dans une formule, vous ajoutez à un nom de commande une accolade gauche,
|
|
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|
|
|
LyX créera automatiquement une accolade droite.
|
|
|
|
|
|
Dans tous les autres cas les accolades TeX sont créées dans des formules
|
|
|
|
|
|
avec la commande
|
|
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|
|
|
\series bold
|
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|
\backslash
|
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{
|
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|
\series default
|
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|
.
|
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|
Les accolades TeX apparaissent en rouge dans LyX, contrairement aux accolades
|
|
|
|
|
|
normales qui apparaissent en bleu.
|
|
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|
En mode TeX, on n'a pas besoin d'une commande pour obtenir des accolades
|
|
|
|
|
|
TeX.
|
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|
Les accolades TeX n'apparaissent pas dans la sortie finale.
|
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Quand on entre en mode TeX des commandes sans argument, comme les commandes
|
|
|
|
|
|
pour les symboles, on doit
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
toujours
|
|
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|
|
\emph default
|
|
|
|
|
|
placer une espace après la commande pour la terminer.
|
|
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|
|
|
Cette espace n'apparaît pas dans la sortie finale.
|
|
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|
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|
|
\emph on
|
|
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|
\emph default
|
|
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|
|
|
Si une espace doit apparaître dans la sortie finale, l'espace doit être
|
|
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|
|
suivie par une espace insécable en texte normal.
|
|
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|
\end_layout
|
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|
\begin_layout Standard
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On insère une espace insécable avec
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\family sans
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Ctrl-Space
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\family default
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.
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\end_layout
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\begin_layout Subsection*
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2008-03-28 01:54:17 +00:00
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\begin_inset Newpage newpage
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\end_inset
|
2008-02-12 22:22:36 +00:00
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Explications sur la syntaxe
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\end_layout
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\begin_layout Itemize
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Le symbole
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Ce caractère espace visible peut être obtenu en utilisant la commande
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\series bold
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\backslash
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textvisiblespace
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! T !
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\backslash
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textvisiblespace
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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, insérée en mode TeX.
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\end_layout
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\end_inset
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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indique que l'on doit mettre une espace.
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\end_layout
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\begin_layout Itemize
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Une flèche comme celle-ci
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\begin_inset Formula $\to$
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\end_inset
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indique que l'on doit appuyer sur la flèche correspondante du clavier.
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\end_layout
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\begin_layout Subsection*
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Unités utilisées
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\end_layout
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\begin_layout Standard
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\align center
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\begin_inset Float table
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placement H
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wide false
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sideways false
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status open
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\align center
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\begin_inset Caption
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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\begin_inset CommandInset label
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
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name "tab:Unités-utilisées"
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\end_inset
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Unités utilisées
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\end_layout
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\end_inset
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\end_layout
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\align center
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\begin_inset Tabular
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<lyxtabular version="3" rows="13" columns="2">
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<features>
|
2008-03-28 01:54:17 +00:00
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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Unité
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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Nom / Description
|
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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<row>
|
2008-02-12 22:22:36 +00:00
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
mm
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|
\end_layout
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\end_inset
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</cell>
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Millimètre
|
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\end_layout
|
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
cm
|
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|
\end_layout
|
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|
\end_inset
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|
</cell>
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Centimètre
|
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|
\end_layout
|
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|
\end_inset
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|
</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
in
|
|
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|
\end_layout
|
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|
\end_inset
|
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|
|
</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Pouce (1
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
in = 2,54
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
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|
cm)
|
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|
\end_layout
|
|
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|
|
|
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|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pt
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Point (72.27
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
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|
pt = 1
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
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|
|
|
2008-02-12 22:22:36 +00:00
|
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|
in)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
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|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pc
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Pica (1
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
pc = 12
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pt)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
sp
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
scaled point (65536
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
sp = 1
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pt)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
bp
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
big point (72
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
bp = 1
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
in)
|
|
|
|
|
|
\end_layout
|
|
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|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
dd
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
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|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
|
|
|
|
|
Didot (1
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
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|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
dd
|
|
|
|
|
|
\begin_inset Formula $\approx$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
0.376
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
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|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
mm)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
cc
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Cicero (1
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
cc = 12
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
dd)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
ex
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Hauteur de la lettre
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
x
|
|
|
|
|
|
\emph default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
dans la police courante
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
em
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Largeur de la lettre
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
M
|
|
|
|
|
|
\emph default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
dans la police courante
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
mu
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
unité math (1
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
mu =
|
|
|
|
|
|
\begin_inset Formula $\nicefrac{1}{18}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
em)
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newpage newpage
|
|
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Section
|
|
|
|
|
|
Fonctions de base
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Exposants
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Exposants
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
et indices
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Indices
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les indices sont créés avec le caractère souligné
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
_
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
ou avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math-subscript.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils mathématique, les exposants avec un accent circonflexe
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
^
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
ou avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math-superscript.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="4" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
B_V
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $B_{V}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
B^V
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}B^{V}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
B^
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
|
A
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}B^{A}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour éviter que l'accent se retrouve sur la lettre qui le suit au lieu de
|
|
|
|
|
|
la mettre en exposant, vous pouvez soit appuyer sur
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Espace
|
|
|
|
|
|
\family default
|
|
|
|
|
|
après l'accent circonflexe comme dans le dernier exemple ou utiliser l'accent
|
|
|
|
|
|
qui se trouve sur la touche du 9.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Fractions
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Fractions"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Fractions
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les fractions sont créées avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
frac
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! F !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
frac
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
ou avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/frac.png
|
|
|
|
|
|
scale 50
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils mathématique.
|
|
|
|
|
|
La taille de la police est ajustée automatiquement selon que l'on se trouve
|
|
|
|
|
|
dans une formule en ligne ou hors ligne.
|
|
|
|
|
|
Avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/frac-square.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils mathématique, vous pouvez choisir entre différents
|
|
|
|
|
|
types de fractions.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dfrac
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! D !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dfrac
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
on peut créer une fraction qui a dans tous les cas la taille d'une fraction
|
|
|
|
|
|
qui se trouverait dans une formule hors ligne.
|
|
|
|
|
|
Avec
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
tfrac
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! T !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
tfrac
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
la fraction aura toujours la taille d'une formule en ligne.
|
|
|
|
|
|
Un exemple:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Une ligne avec la fraction
|
|
|
|
|
|
\begin_inset Formula $\frac{1}{2}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
créée avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
frac
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Une ligne avec la fraction
|
|
|
|
|
|
\begin_inset Formula $\dfrac{1}{2}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
créée avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dfrac
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="4" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
frac
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\frac{A}{B}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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dfrac
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\begin_inset Formula $\downarrow$
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\end_inset
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B
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{7mm}{}\dfrac{A}{B}\raisebox{-4mm}{}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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dfrac
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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e^
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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frac
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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1
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\begin_inset Formula $\downarrow$
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\end_inset
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2
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\begin_inset Formula $\downarrow\downarrow$
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\end_inset
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3
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{8mm}{}\dfrac{e^{\frac{1}{2}}}{3}\raisebox{-4mm}{}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace bigskip
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Newpage newpage
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\end_inset
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2008-02-12 22:22:36 +00:00
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Pour des fractions emboîtées, on peut utiliser la commande
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\series bold
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\backslash
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cfrac
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! C !
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\backslash
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cfrac
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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.
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Voici un exemple:
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\begin_inset VSpace -3mm
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset Formula \begin{align*}
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2008-06-20 22:01:27 +00:00
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\textrm{créée avec \textbf{\textbackslash frac}} & & \textrm{créée avec \textbf{\textbackslash cfrac}}\\
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\frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}\end{align*}
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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La commande pour l'exemple précédent est:
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\end_layout
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\begin_layout Standard
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\backslash
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cfrac{A
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\begin_inset Formula $\to$
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\end_inset
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\backslash
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{B+
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\backslash
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cfrac{C+
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\backslash
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cfrac{E
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\begin_inset Formula $\to$
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\end_inset
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\backslash
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{F
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\begin_inset Formula $\to\to$
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\end_inset
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\backslash
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{D
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace medskip
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\end_inset
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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cfrac
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\series default
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met toujours la fraction dans la taille d'une formule hors ligne, même
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si elle est une partie d'une autre fraction.
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La commande
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\series bold
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\backslash
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cfrac
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\series default
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a la syntaxe suivante:
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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cfrac[position du numérateur]{numérateur}{dénominateur}
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\end_layout
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\begin_layout Standard
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La position du numérateur peut être
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\emph on
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l
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\emph default
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,
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\emph on
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c
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\emph default
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, ou
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\emph on
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r
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\emph default
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l ou r aligne le numérateur respectivement à gauche ou à droite par rapport
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à la barre de fraction.
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Quand on met
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\emph on
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c
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\emph default
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ou rien, le numérateur apparaît centré.
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Les fractions qui suivent illustrent les différents alignements:
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\series bold
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\cfrac[l]{A}{B+C}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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,
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\cfrac{A}{B+C}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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,
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\cfrac[r]{A}{B+C}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace medskip
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\end_inset
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Il est souvent intéressant de combiner
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\series bold
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\backslash
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cfrac
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\series default
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et
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\series bold
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\backslash
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frac
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\series default
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:
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\begin_inset Formula \[
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2008-06-20 22:01:27 +00:00
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\cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}\]
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour des fractions en ligne avec une barre de fraction en diagonale, vous
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pouvez utiliser la commande
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\series bold
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\backslash
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nicefrac
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! N !
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\backslash
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nicefrac
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\series default
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:
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\begin_inset Formula $\nicefrac{5}{31}$
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\end_inset
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\end_layout
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\begin_layout Standard
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Dans
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand ref
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2008-02-12 22:22:36 +00:00
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reference "sub:Fractions-personnalisées"
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\end_inset
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on explique comment définir des fractions personnalisées en modifiant les
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barres de fractions .
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\end_layout
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\begin_layout Subsection
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Racines
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Racines
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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On obtient les racines carrées avec la commande
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\series bold
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\backslash
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sqrt
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! S !
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\backslash
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sqrt
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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ou avec le bouton
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\begin_inset Graphics
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filename ../../images/math/sqrt.png
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scale 85
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\end_inset
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de la barre d'outils mathématique, et toutes les autres racines avec la
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commande
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\series bold
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\backslash
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root
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! R !
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\backslash
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root
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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ou avec le bouton
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\begin_inset Graphics
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filename ../../images/math/root.png
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scale 85
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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\align center
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\begin_inset Tabular
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<lyxtabular version="3" rows="3" columns="2">
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<features>
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2008-03-28 01:54:17 +00:00
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<column alignment="center" valignment="top" width="0pt">
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<column alignment="center" valignment="top" width="0pt">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Commande
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Résultat
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\begin_inset Note Note
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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raisebox est seulement utilisée pour faire de la place
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\end_layout
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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sqrt
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A-B
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{4.5mm}{}\sqrt{A-B}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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root
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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3
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\begin_inset Formula $\downarrow$
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\end_inset
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A-B
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{4.5mm}{}\sqrt[3]{A-B}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
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On peut aussi obtenir une racine carrée avec
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\series bold
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\backslash
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root
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\series default
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en laissant le champ réservé au degré de la racine vide.
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\end_layout
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\begin_layout Standard
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Dans certains cas, la distance entre le degré et la racine est trop petite
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comme dans cette formule:
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\begin_inset Formula $\sqrt[\beta]{B}$
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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Le
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\begin_inset Formula $\beta$
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\end_inset
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touche la racine, ce qui peut être évité en utilisant les commandes
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\series bold
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\backslash
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leftroot
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! L !
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\backslash
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leftroot
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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et
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\series bold
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\backslash
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uproot
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! U !
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\backslash
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uproot
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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avec la syntaxe suivante:
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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leftroot{distance}
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\series default
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et
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\series bold
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\backslash
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uproot{distance}
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\end_layout
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\begin_layout Standard
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Distance est le nombre de Big Points (unité bp;
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\begin_inset Formula $\mathrm{72\, bp=1\, pouce}$
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\end_inset
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), dont le degré doit être déplacé, respectivement vers la gauche ou vers
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le haut.
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Les commandes doivent être placées dans la case du degré.
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Par exemple, la commande
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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root
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\backslash
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leftroot{-1
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\begin_inset Formula $\to$
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\end_inset
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\backslash
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uproot{2
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\begin_inset Formula $\to$
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\end_inset
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\backslash
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beta
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\begin_inset Formula $\to$
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\end_inset
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B
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\series default
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produit une formule correctement mise en forme:
|
2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\sqrt[\leftroot{-1}\uproot{2}\beta]{B}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Subsection
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Coefficients binomiaux
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Binomiaux, coefficients
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Les coefficients binomiaux sont insérés avec la commande
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\series bold
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\backslash
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binom
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! B !
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\backslash
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binom
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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ou avec le bouton
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\begin_inset Graphics
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filename ../../images/math/frac-square.png
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scale 85
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\end_inset
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de la barre d'outils mathématique.
|
2008-03-28 01:54:17 +00:00
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Comme pour les fraction (
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\series bold
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\backslash
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frac
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\series default
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) il y a avec
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\series bold
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\backslash
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binom
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\series default
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les commandes
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\series bold
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dbinom
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! D !
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\backslash
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dbinom
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\end_layout
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\end_inset
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\series default
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et
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\backslash
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tbinom
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\series default
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! T !
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\backslash
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tbinom
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\end_layout
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\end_inset
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2008-04-22 19:50:08 +00:00
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.
|
2008-07-10 23:08:38 +00:00
|
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|
Pour d'autres styles de parenthèses autour des coefficients binomiaux,
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il y a les commandes
|
2008-04-22 19:50:08 +00:00
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\series bold
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\backslash
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brace
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\series default
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! B !
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\backslash
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brace
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\end_layout
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\end_inset
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et
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\series bold
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\backslash
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brack
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\series default
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! B !
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\backslash
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brack
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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.
|
2008-02-12 22:22:36 +00:00
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\end_layout
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\begin_layout Standard
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\align center
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\begin_inset Tabular
|
2008-04-22 19:50:08 +00:00
|
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|
<lyxtabular version="3" rows="6" columns="2">
|
2008-02-12 22:22:36 +00:00
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|
<features>
|
2008-03-28 01:54:17 +00:00
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<column alignment="center" valignment="top" width="0pt">
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<column alignment="center" valignment="top" width="0pt">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Commande
|
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\end_layout
|
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|
\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Résultat
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\begin_inset Note Note
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\series bold
|
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\backslash
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|
raisebox est seulement utilisée pour faire de la place
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|
\end_layout
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
|
2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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binom
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\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
|
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A
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|
\begin_inset Formula $\downarrow$
|
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|
\end_inset
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B
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
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|
\begin_inset Formula $\raisebox{5mm}{}\binom{A}{B}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
2008-03-28 01:54:17 +00:00
|
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dbinom
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
2008-03-28 01:54:17 +00:00
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spce
|
2008-02-12 22:22:36 +00:00
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\end_layout
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\end_inset
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|
2008-03-28 01:54:17 +00:00
|
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|
A
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
2008-02-12 22:22:36 +00:00
|
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|
|
\end_inset
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
B
|
2008-02-12 22:22:36 +00:00
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
2008-02-12 22:22:36 +00:00
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\dbinom{A}{B}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
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\end_layout
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|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
|
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|
</cell>
|
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|
</row>
|
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|
<row>
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
2008-02-12 22:22:36 +00:00
|
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|
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
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|
\backslash
|
2008-03-28 01:54:17 +00:00
|
|
|
|
tbinom
|
|
|
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|
\begin_inset ERT
|
|
|
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|
|
status collapsed
|
|
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|
|
\begin_layout Plain Layout
|
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|
2008-02-12 22:22:36 +00:00
|
|
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\backslash
|
2008-03-28 01:54:17 +00:00
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|
spce
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
A
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
B
|
|
|
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
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|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\tbinom{A}{B}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
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|
2008-04-22 19:50:08 +00:00
|
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\end_layout
|
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\end_inset
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</cell>
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</row>
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\backslash
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brack
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\begin_inset Formula $\downarrow$
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\end_inset
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B
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{5mm}{}{A \brack B}\raisebox{-2.5mm}{}$
|
2008-04-22 19:50:08 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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<row>
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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\backslash
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brace
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\begin_inset Formula $\downarrow$
|
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\end_inset
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B
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\end_layout
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\end_inset
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</cell>
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
\begin_inset Formula $\raisebox{5mm}{}{A \brace B}\raisebox{-2.5mm}{}$
|
2008-04-22 19:50:08 +00:00
|
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\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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</cell>
|
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</row>
|
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|
</lyxtabular>
|
2008-02-12 22:22:36 +00:00
|
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|
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
\end_layout
|
|
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|
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|
|
\begin_layout Subsection
|
|
|
|
|
|
Différentiation de cas
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
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|
|
status collapsed
|
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|
|
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|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Différentiation de cas
|
|
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|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
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|
|
\end_layout
|
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|
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|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="3" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
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|
|
|
\end_layout
|
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cases
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
B>0
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! C !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cases
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\begin{cases}
|
|
|
|
|
|
A & B>0\end{cases}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
\end_layout
|
|
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|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cases
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
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|
|
Ctrl-Enter
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\begin{cases}
|
|
|
|
|
|
A & \textrm{pour }\hat{x}>0\\
|
|
|
|
|
|
B & \textrm{pour }\hat{x}=0\end{cases}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
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|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Après avoir inséré
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cases
|
|
|
|
|
|
\series default
|
|
|
|
|
|
ou avoir utilisé le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/cases.png
|
|
|
|
|
|
lyxscale 50
|
|
|
|
|
|
scale 50
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils mathématique, vous pouvez ajouter de nouvelles lignes
|
|
|
|
|
|
avec le raccourci
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Ctrl-Entrée
|
|
|
|
|
|
\family default
|
|
|
|
|
|
ou avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/tabular-feature_append-row.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Les accents et autres trémas, comme ceux présents dans la formule précédente,
|
|
|
|
|
|
sont expliqués dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Accents-sur-un-caractère"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cases
|
|
|
|
|
|
\series default
|
|
|
|
|
|
est aussi accessible par le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Insérer\SpecialChar \menuseparator
|
|
|
|
|
|
Math\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Environnement
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Cas
|
|
|
|
|
|
\family default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Négations
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Négations
|
|
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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\end_layout
|
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|
\begin_layout Standard
|
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|
En insérant la commande
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|
\series bold
|
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\backslash
|
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not
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|
\series default
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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status collapsed
|
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|
|
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|
\begin_layout Plain Layout
|
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|
Commandes ! N !
|
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|
\backslash
|
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|
not
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\end_layout
|
2008-02-12 22:22:36 +00:00
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|
\end_inset
|
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|
chaque caractère peut être affiché barré.
|
|
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|
|
Les caractères sont en quelque sorte accentués par une barre de fraction.
|
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
\align center
|
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|
\begin_inset Tabular
|
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|
<lyxtabular version="3" rows="4" columns="2">
|
|
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|
<features>
|
2008-03-28 01:54:17 +00:00
|
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<column alignment="center" valignment="top" width="0pt">
|
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|
<column alignment="center" valignment="top" width="0pt">
|
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|
<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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|
\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Commande
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Résultat
|
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\end_layout
|
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\end_inset
|
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
not=
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\end_layout
|
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\end_inset
|
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</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
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|
|
\begin_inset Text
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\not=$
|
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|
\end_inset
|
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\end_layout
|
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\end_inset
|
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|
</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
|
\begin_inset Text
|
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|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\backslash
|
|
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|
not
|
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|
|
\backslash
|
|
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|
le
|
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|
|
|
|
\end_layout
|
|
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|
\end_inset
|
|
|
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|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\not\le$
|
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|
|
\end_inset
|
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|
\end_layout
|
|
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|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
not
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
parallel
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\not\parallel$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Le dernier exemple montre que toutes les négations n'ont pas forcément un
|
|
|
|
|
|
bel aspect.
|
|
|
|
|
|
C'est pourquoi il existe des commandes spéciales pour certaines négations
|
|
|
|
|
|
(voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Symboles-mathématiques"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
et
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sec:Relations"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
).
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Garnitures
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Garnitures"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Garnitures
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Symboles chimiques ! Isotopes
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Isotopes|see
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Symboles chimiques
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Quand on affiche par exemple des isotopes
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Plus d'information sur les symboles chimiques dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Symboles-chimiques"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, on rencontre le problème suivant:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="2" columns="2">
|
|
|
|
|
|
<features>
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Indices avec les indices et exposants:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $_{9}^{19}\mathrm{F}\raisebox{-3mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Indices corrects:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
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\begin_inset Note Note
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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|
|
\series bold
|
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|
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|
|
\backslash
|
2008-07-10 23:08:38 +00:00
|
|
|
|
raisebox est là pour faire de la place
|
2008-02-12 22:22:36 +00:00
|
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|
\end_layout
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\end_inset
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\end_layout
|
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|
\begin_layout Standard
|
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|
L'indice le plus petit est placé par défaut au dessus ou en dessous du premier
|
|
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|
|
caractère le l'indice le plus long.
|
|
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|
|
Pour éviter ce problème il y a la commande
|
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|
\series bold
|
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\backslash
|
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phantom
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|
\series default
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|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
|
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status collapsed
|
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\begin_layout Plain Layout
|
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Commandes ! P !
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\backslash
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phantom
|
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\end_layout
|
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|
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|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
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|
2008-03-28 01:54:17 +00:00
|
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|
ou le bouton
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space ~
|
2008-02-12 22:22:36 +00:00
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\end_inset
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|
\begin_inset Graphics
|
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|
filename ../../images/math/phantom.png
|
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scale 85
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|
\end_inset
|
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|
qui crée un ou plusieurs caractères fantômes.
|
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|
Quand on insère la commande
|
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\series bold
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\backslash
|
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phantom
|
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\series default
|
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|
une petite boîte avec deux flèches rouges apparaît.
|
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|
Les flèches indiquent que la garniture
|
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|
\begin_inset Foot
|
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Traduction de placeholder, c'est un terme de typographie (NdT).
|
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\end_layout
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\end_inset
|
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|
créée aura la même largeur et la même hauteur que le contenu de la boîte.
|
|
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|
|
|
De la même façon, les caractères fantômes sont des garnitures qui ont la
|
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|
|
taille du caractère concerné.
|
|
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|
|
\end_layout
|
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|
\begin_layout Standard
|
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|
\align center
|
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|
\begin_inset Tabular
|
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|
|
<lyxtabular version="3" rows="4" columns="2">
|
|
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|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
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|
<column alignment="center" valignment="top" width="0">
|
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|
<column alignment="center" valignment="top" width="0">
|
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<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
Commande
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
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|
|
\begin_inset Note Note
|
|
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|
|
status collapsed
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
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|
|
|
\end_layout
|
|
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|
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|
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|
|
\end_inset
|
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|
\end_layout
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
^19
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
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|
|
|
|
|
|
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|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
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|
|
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|
|
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|
|
\end_inset
|
|
|
|
|
|
|
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|
|
_
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
phantom
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
1
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
9
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
F
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}{}_{\phantom{1}9}^{19}\mathrm{F}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
^235
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
_
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
phantom
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
23
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
9
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
F
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}{}_{\phantom{23}9}^{235}\mathrm{F}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Lambda^
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
phantom
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
ii
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
t
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
_MMt
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\Lambda_{MMt}^{\phantom{ii}t}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
|
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\end_layout
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\begin_layout Standard
|
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|
En plus, il y a les commandes
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\series bold
|
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\backslash
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vphantom
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! V !
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\backslash
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vphantom
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\end_layout
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\end_inset
|
2008-02-12 22:22:36 +00:00
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2008-03-28 01:54:17 +00:00
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(bouton
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\begin_inset Graphics
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filename ../../images/math/vphantom.png
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scale 85
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\end_inset
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de la barre d'outils) et
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\series bold
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\backslash
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hphantom
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
|
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\begin_layout Plain Layout
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Commandes ! H !
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\backslash
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hphantom
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\end_layout
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\end_inset
|
2008-02-12 22:22:36 +00:00
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|
2008-03-28 01:54:17 +00:00
|
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(bouton
|
2008-06-04 22:36:44 +00:00
|
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\begin_inset space ~
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\begin_inset Graphics
|
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|
filename ../../images/math/hphantom.png
|
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scale 85
|
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\end_inset
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).
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\series bold
|
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\backslash
|
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hphantom
|
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\series default
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|
crée seulement de l'espace pour la hauteur maximale des caractères de la
|
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|
boîte, mais pas pour leur largeur.
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\series bold
|
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\backslash
|
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vphantom
|
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|
\series default
|
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|
crée de l'espace seulement pour la largeur du contenu de la boîte.
|
|
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|
|
C'est pour cela que les boîtes qui se trouvent sur les boutons des deux
|
|
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|
commandes n'ont qu'une seule flèche rouge.
|
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
Par exemple
|
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|
\series bold
|
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|
\backslash
|
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vphantom
|
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|
\series default
|
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|
\begin_inset ERT
|
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|
|
status collapsed
|
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
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|
|
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|
|
|
|
|
|
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|
\backslash
|
|
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|
spce
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
\series bold
|
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|
a
|
|
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|
\backslash
|
|
|
|
|
|
int
|
|
|
|
|
|
\series default
|
|
|
|
|
|
crée de l'espace pour la hauteur du signe intégral
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
La commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
int
|
|
|
|
|
|
\series default
|
|
|
|
|
|
insère le signe de l'intégrale, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Grands-opérateurs"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
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|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, vu que c'est le plus haut caractère.
|
|
|
|
|
|
Voir un exemple d'application dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Crochets-multilignes"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Lignes
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Lignes
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Formules ! soulignées
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="4" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
overline
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A+B
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! O !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
overline
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\overline{A+B}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
underline
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A+B
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! U !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
underline
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\underline{A+B}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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overline
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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underline
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A+B
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{5mm}{}\overline{\underline{A+B}}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
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Dans le dernier exemple, il importe peu que
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\series bold
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\backslash
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overline
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\series default
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ou
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\series bold
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\backslash
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underline
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\series default
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soit inséré en premier.
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\end_layout
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\begin_layout Standard
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Pour souligner deux fois, par exemple des résultats, on utilise
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\backslash
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underline deux fois.
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\end_layout
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\begin_layout Standard
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Il est possible de mettre jusqu'à 6 lignes au dessus ou en dessous de caractères.
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\end_layout
|
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\begin_layout Subsection
|
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Points de suspension
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
|
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\begin_layout Plain Layout
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|
Points de suspension
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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|
\begin_layout Standard
|
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|
|
Différents types de points de suspension sont disponibles.
|
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|
\begin_inset Foot
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Dans la barre d'outils mathématique dans le sous-menu du bouton
|
|
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|
\begin_inset Graphics
|
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|
filename ../../images/math/ldots.png
|
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|
scale 85
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\end_inset
|
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\end_layout
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|
\end_inset
|
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|
Les points utilisés pour les listes et qui se trouvent sur la ligne de
|
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|
base, on utilise (
|
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|
|
\series bold
|
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|
\backslash
|
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|
ldots
|
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
|
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|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! L !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ldots
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
|
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|
|
), alors que pour les points utilisé pour les opérations et qui se trouvent
|
|
|
|
|
|
à la même hauteur que les opérateurs, on utilise (
|
|
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|
|
\series bold
|
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|
\backslash
|
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|
cdots
|
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|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset Index
|
|
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|
|
status collapsed
|
|
|
|
|
|
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|
|
|
|
|
\begin_layout Plain Layout
|
|
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|
|
|
Commandes ! C !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cdots
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
|
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).
|
|
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|
Quand on utilise la commande
|
|
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|
|
\series bold
|
|
|
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|
|
\backslash
|
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|
dots
|
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|
\series default
|
|
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
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|
|
|
|
\begin_layout Plain Layout
|
|
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|
Commandes ! D !
|
|
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|
|
\backslash
|
|
|
|
|
|
dots
|
|
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|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, LaTeX décide en fonction du caractère qui suit, quel type utiliser.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="8" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
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|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
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|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A_1
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
,
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dots
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
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|
|
|
\end_layout
|
|
|
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|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
,A_n
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A_{1},\dots,A_{n}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
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|
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|
|
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|
|
\end_layout
|
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|
|
|
|
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|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A_1
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
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|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
|
|
|
|
+
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dots
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
+A_n
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A_{1}+\dots+A_{n}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A_1
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
\backslash
|
|
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|
|
spce
|
|
|
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|
|
\end_layout
|
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|
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|
\end_inset
|
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|
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|
,
|
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|
|
|
\backslash
|
|
|
|
|
|
ldots
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
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|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
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|
|
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|
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|
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\backslash
|
|
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|
spce
|
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|
|
\end_layout
|
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|
\end_inset
|
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,A_n
|
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|
|
\end_layout
|
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|
|
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|
|
\end_inset
|
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|
|
</cell>
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
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|
\begin_inset Text
|
|
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|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A_{1},\ldots,A_{n}$
|
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|
\end_inset
|
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
A_1
|
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\begin_inset ERT
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status collapsed
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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+
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\backslash
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cdots
|
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\begin_inset ERT
|
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status collapsed
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
|
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\end_layout
|
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\end_inset
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+A_n
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $A_{1}+\cdots+A_{n}$
|
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\end_inset
|
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\end_layout
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\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
vdots
|
|
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|
|
\end_layout
|
|
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|
|
\end_inset
|
|
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|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\vdots$
|
|
|
|
|
|
\end_inset
|
|
|
|
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|
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|
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|
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|
\end_layout
|
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ddots
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\ddots$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
matrice 3×3
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
avec les différents types de points
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\begin{array}{ccc}
|
|
|
|
|
|
A_{11} & \cdots & A_{1m}\\
|
|
|
|
|
|
\vdots & \ddots & \vdots\\
|
|
|
|
|
|
A_{n1} & \cdots & A_{nm}\end{array}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les points de suspension accessibles avec le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Insérer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Caractère
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
spécial
|
|
|
|
|
|
\family default
|
|
|
|
|
|
sont des
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ldots
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Spécialement pour les matrices, il y a des points de suspension qui peuvent
|
|
|
|
|
|
couvrir plusieurs colonnes.
|
|
|
|
|
|
Il sont créés avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hdotsfor
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! H !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hdotsfor
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, qui a la syntaxe suivante:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hdotsfor[distance]{nombre de colonnes}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Le nombre de colonnes précise combien de colonnes doivent être couvertes.
|
|
|
|
|
|
La distance est un facteur donnant la distance entre les points.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Dans la matrice suivante, on a inséré la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hdotsfor[2]{4}
|
|
|
|
|
|
\series default
|
|
|
|
|
|
dans la première colonne de le deuxième ligne, pour avoir une ligne de
|
|
|
|
|
|
points de suspension avec une distance entre points double de celle obtenue
|
|
|
|
|
|
avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dots
|
|
|
|
|
|
\series default
|
|
|
|
|
|
:
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\left(\begin{array}{cccc}
|
|
|
|
|
|
A & B & C & D\\
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\hdotsfor[2]{4}\\
|
2008-02-12 22:22:36 +00:00
|
|
|
|
a & z & e & r\end{array}\right)\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Notez que les cases de la matrice qui doivent être couvertes doivent être
|
|
|
|
|
|
vides, sinon vous aurez des erreurs LaTeX.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace bigskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Pour aller plus loin, vous pouvez utiliser la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dotfill
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! D !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dotfill
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
pour remplir le reste d'une ligne avec des points.
|
|
|
|
|
|
L'effet de ces commandes est le même que celui de
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hfill
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Espace-variable"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Par exemple, la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
A
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dotfill
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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B
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\series default
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produit
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\end_layout
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\begin_layout Standard
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $A\dotfill B$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Comme
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\series bold
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\backslash
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dotfill
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\series default
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avec des points, il existe la commande
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\series bold
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\backslash
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hrulefill
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! H !
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\backslash
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hrulefill
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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avec un filet:
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\end_layout
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\begin_layout Standard
|
2008-06-20 22:01:27 +00:00
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\begin_inset Formula $A\hrulefill B$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour utiliser ces commandes dans le texte, elles doivent être insérées en
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mode TeX.
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\end_layout
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\begin_layout Section
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Matrices
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
|
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
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name "sec:Matrices"
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\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Matrices
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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On peut insérer des matrices avec le bouton
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\begin_inset Graphics
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filename ../../images/dialog-show_mathmatrix.png
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scale 85
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\end_inset
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de la barre d'outils mathématique ou en utilisant le menu
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\family sans
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Insérer\SpecialChar \menuseparator
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Math\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
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Matrice
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
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|
2008-02-12 22:22:36 +00:00
|
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|
mathématique
|
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|
\family default
|
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.
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On vous demande alors le nombre de lignes et de colonnes de la matrice
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et leur alignement.
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L'alignement vertical n'est en fait important que pour les matrices qui
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se trouvent dans une formule en ligne:
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\end_layout
|
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\begin_layout Standard
|
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|
L'alignement de la première matrice est haut
|
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|
\begin_inset Formula $\begin{array}[t]{cccc}
|
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A & D & G & J\\
|
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B & E & H & K\\
|
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C & F & I & L\end{array}$
|
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\end_inset
|
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|
, la seconde milieu
|
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|
\begin_inset Formula $\begin{array}{cccc}
|
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A & D & G & J\\
|
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B & E & H & K\\
|
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C & F & I & L\end{array}$
|
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\end_inset
|
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|
, et la troisième bas
|
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|
\begin_inset Formula $\begin{array}[b]{cccc}
|
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A & D & G & J\\
|
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B & E & H & K\\
|
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C & F & I & L\end{array}$
|
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\end_inset
|
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.
|
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\end_layout
|
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|
\begin_layout Standard
|
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|
|
L'alignement horizontal précise comment le contenu des colonnes doit être
|
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|
|
aligné.
|
|
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|
|
On le choisit en entrant une lettre pour chaque colonne.
|
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|
|
\emph on
|
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|
l
|
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|
|
\emph default
|
|
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|
|
pour un alignement à gauche (left) ,
|
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|
|
\emph on
|
|
|
|
|
|
c
|
|
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|
|
\emph default
|
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|
centré, et
|
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|
|
\emph on
|
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|
|
r
|
|
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|
|
\emph default
|
|
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|
|
|
à droite (right).
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Par exemple, pour créer une matrice
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
4
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
×
|
|
|
|
|
|
\series default
|
|
|
|
|
|
4 où la première colonne est alignée à gauche, la deuxième et la troisième
|
|
|
|
|
|
sont centrées et la dernière est alignée à gauche, on va entrer
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
lccr
|
|
|
|
|
|
\series default
|
|
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|
|
pour l'alignement horizontal.
|
|
|
|
|
|
En principe, toutes les colonnes d'une matrice sont centrées, ce qui fait
|
|
|
|
|
|
que l'alignement par défaut pour toutes les colonnes est un
|
|
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|
|
|
\series bold
|
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|
c
|
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|
\series default
|
|
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|
.
|
2008-03-29 16:54:32 +00:00
|
|
|
|
\begin_inset Newpage pagebreak
|
2008-02-12 22:22:36 +00:00
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\end_inset
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
|
Alignement horizontal:
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
\series bold
|
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lll
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|
\series default
|
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|
:
|
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|
|
\begin_inset Formula $\begin{array}{lll}
|
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|
|
10000 & D & G\\
|
|
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|
B & 10000 & H\\
|
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|
C & F & 10000\end{array}$
|
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|
\end_inset
|
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|
,
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|
\series bold
|
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ccc
|
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|
\series default
|
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|
|
|
:
|
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|
|
|
\begin_inset Formula $\begin{array}{ccc}
|
|
|
|
|
|
10000 & D & G\\
|
|
|
|
|
|
B & 10000 & H\\
|
|
|
|
|
|
C & F & 10000\end{array}$
|
|
|
|
|
|
\end_inset
|
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|
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|
,
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|
|
\series bold
|
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|
rrr
|
|
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|
|
\series default
|
|
|
|
|
|
:
|
|
|
|
|
|
\begin_inset Formula $\begin{array}{rrr}
|
|
|
|
|
|
10000 & D & G\\
|
|
|
|
|
|
B & 10000 & H\\
|
|
|
|
|
|
C & F & 10000\end{array}$
|
|
|
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|
\end_inset
|
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\end_layout
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
Pour ajouter ou supprimer des lignes ou des colonnes après coup, on peut
|
|
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|
|
|
utiliser les boutons
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/tabular-feature_append-row.png
|
|
|
|
|
|
scale 85
|
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\end_inset
|
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|
,
|
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|
|
\begin_inset Graphics
|
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|
|
|
|
filename ../../images/tabular-feature_delete-row.png
|
|
|
|
|
|
scale 85
|
|
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|
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|
|
\end_inset
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
, etc.
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
de la barre d'outils mathématique, ou le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Éditer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Lignes
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
&
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
colonnes
|
|
|
|
|
|
\family default
|
|
|
|
|
|
.
|
|
|
|
|
|
On peut aussi ajouter de nouvelles lignes avec
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Ctrl-Entrée
|
|
|
|
|
|
\family default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace bigskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
On peut ajouter des parenthèses autour d'une matrice, soit avec les commandes
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
left
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! L !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
left
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
et
|
|
|
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|
|
\series bold
|
|
|
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|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
right
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! R !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
right
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
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|
|
|
|
|
|
|
|
(raccourci
|
|
|
|
|
|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Alt-m
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
parenthèse
|
|
|
|
|
|
\family default
|
|
|
|
|
|
), voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Taille-parenthèses-automatique"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, ou en utilisant les commandes suivantes:
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
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\begin_inset space \hfill{}
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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\begin_inset Tabular
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<lyxtabular version="3" rows="4" columns="2">
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<features>
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2008-03-28 01:54:17 +00:00
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Commande
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Résultat
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\begin_inset Note Note
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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raisebox est seulement utilisée pour faire de la place
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\end_layout
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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bmatrix
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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matrice
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2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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2×2
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{7.5mm}{}\begin{bmatrix}\begin{array}{cc}
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2008-02-12 22:22:36 +00:00
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0 & \textrm{-}\mathrm{i}\\
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2008-06-20 22:01:27 +00:00
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\mathrm{i} & 0\end{array}\end{bmatrix}\raisebox{-5.3mm}{}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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Bmatrix
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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matrice
|
2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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2×2
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{7.5mm}{}\begin{Bmatrix}\begin{array}{cc}
|
2008-02-12 22:22:36 +00:00
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0 & \textrm{-}\mathrm{i}\\
|
2008-06-20 22:01:27 +00:00
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\mathrm{i} & 0\end{array}\end{Bmatrix}\raisebox{-5.3mm}{}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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pmatrix
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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|
matrice
|
2008-06-04 22:36:44 +00:00
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|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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2×2
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
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|
\begin_inset Formula $\raisebox{7.5mm}{}\begin{pmatrix}\begin{array}{cc}
|
2008-02-12 22:22:36 +00:00
|
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|
0 & \textrm{-}\mathrm{i}\\
|
2008-06-20 22:01:27 +00:00
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\mathrm{i} & 0\end{array}\end{pmatrix}\raisebox{-5.3mm}{}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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|
2008-06-04 22:36:44 +00:00
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|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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\begin_inset Tabular
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<lyxtabular version="3" rows="4" columns="2">
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<features>
|
2008-03-28 01:54:17 +00:00
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Commande
|
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Résultat
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
|
2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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vmatrix
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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|
matrice
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
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|
2008-02-12 22:22:36 +00:00
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2×2
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
|
\begin_inset Formula $\raisebox{7.5mm}{}\begin{vmatrix}\begin{array}{cc}
|
2008-02-12 22:22:36 +00:00
|
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|
0 & \textrm{-}\mathrm{i}\\
|
2008-06-20 22:01:27 +00:00
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|
\mathrm{i} & 0\end{array}\end{vmatrix}\raisebox{-5.3mm}{}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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|
<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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Vmatrix
|
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|
\begin_inset ERT
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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spce
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\end_layout
|
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|
\end_inset
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
matrice
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
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|
|
|
2008-02-12 22:22:36 +00:00
|
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|
2×2
|
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\end_layout
|
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|
\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{7.5mm}{}\begin{Vmatrix}\begin{array}{cc}
|
2008-02-12 22:22:36 +00:00
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0 & \textrm{-}\mathrm{i}\\
|
2008-06-20 22:01:27 +00:00
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\mathrm{i} & 0\end{array}\end{Vmatrix}\raisebox{-5.3mm}{}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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matrix
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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matrice
|
2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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2×2
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{7.5mm}{}\begin{matrix}\begin{array}{cc}
|
2008-02-12 22:22:36 +00:00
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0 & \textrm{-}\mathrm{i}\\
|
2008-06-20 22:01:27 +00:00
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\mathrm{i} & 0\end{array}\end{matrix}\raisebox{-5.3mm}{}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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2008-06-04 22:36:44 +00:00
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\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace medskip
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\end_inset
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Quand on insère par exemple
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\series bold
|
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\backslash
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vmatrix,
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\series default
|
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une boîte bleue apparaît entre deux lignes verticales où la matrice est
|
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insérée.
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\end_layout
|
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\begin_layout Standard
|
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\begin_inset VSpace bigskip
|
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\end_inset
|
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Comme toutes les formules multi-lignes sont en fait des matrices, la longueur
|
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\series bold
|
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\backslash
|
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arraycolsep
|
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\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
|
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status collapsed
|
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\begin_layout Plain Layout
|
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Commandes ! A !
|
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\backslash
|
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arraycolsep
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
|
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qui est décrite dans
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Séparation-des-colonnes"
|
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|
\end_inset
|
|
|
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|
peut aussi être utilisée pour changer la distance qui sépare les colonnes
|
|
|
|
|
|
dans les matrices.
|
|
|
|
|
|
\end_layout
|
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|
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|
\begin_layout Standard
|
|
|
|
|
|
Pour changer l'espacement des lignes, on utilise la commande
|
|
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|
|
\series bold
|
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|
\backslash
|
|
|
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|
arraystretch
|
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|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! A !
|
|
|
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|
|
\backslash
|
|
|
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|
arraystretch
|
|
|
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
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|
de la façon suivante:
|
|
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|
|
|
\end_layout
|
|
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|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
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|
|
\series bold
|
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|
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|
\backslash
|
|
|
|
|
|
renewcommand{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
arraystretch}{facteur d'étirement}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! R !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
renewcommand
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
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|
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|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
renewcommand
|
|
|
|
|
|
\series default
|
|
|
|
|
|
affecte le facteur d'étirement à la commande prédéfinie
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
arraystretch
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
Par exemple, pour doubler l'espacement des lignes, utilisez un facteur
|
|
|
|
|
|
2.
|
|
|
|
|
|
Ce facteur sera utilisé pour toutes les matrices qui suivent.
|
|
|
|
|
|
Pour revenir à l'espacement initial, affectez un facteur 1 à
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
arraystretch
|
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|
\series default
|
|
|
|
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|
.
|
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour insérer une matrice dans une ligne de texte, on utilise la commande
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
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|
\backslash
|
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|
smallmatrix
|
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|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
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|
|
Commandes ! S !
|
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|
|
\backslash
|
|
|
|
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|
smallmatrix
|
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|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
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|
\end_inset
|
|
|
|
|
|
|
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|
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|
|
.
|
|
|
|
|
|
Quand elle est insérée, une boîte bleue avec deux lignes en pointillé apparaît
|
|
|
|
|
|
où la matrice est insérée.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Voici une matrice
|
|
|
|
|
|
\begin_inset Formula $\left(\begin{smallmatrix}A & B\\
|
|
|
|
|
|
C & D\end{smallmatrix}\right)$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
dans une ligne de texte.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Section
|
|
|
|
|
|
Parenthèses et autres délimiteurs
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
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|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Parenthèses
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\end_inset
|
|
|
|
|
|
|
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|
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|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Accolades
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
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|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
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|
|
|
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|
\begin_layout Plain Layout
|
|
|
|
|
|
Crochets
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
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|
|
\end_inset
|
|
|
|
|
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|
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|
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|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Délimiteurs
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
|
|
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|
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|
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|
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|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Parenthèses verticales et délimiteurs
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Accolades ! verticales
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
|
|
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|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\lang french
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="9" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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(
|
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\end_layout
|
|
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|
|
|
|
|
\end_inset
|
|
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|
</cell>
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $($
|
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\end_inset
|
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\end_layout
|
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\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
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|
\begin_inset Text
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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{
|
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\end_layout
|
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|
\end_inset
|
|
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|
</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
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|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\begin_inset Formula $\{$
|
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\end_inset
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\end_layout
|
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\end_inset
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
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|
\begin_inset Text
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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[
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
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|
|
\begin_inset Text
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $[$
|
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\end_inset
|
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
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|
|
\backslash
|
|
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langle
|
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|
\end_layout
|
|
|
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|
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|
\end_inset
|
|
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|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\langle$
|
|
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|
\end_inset
|
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|
\end_layout
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
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|
lceil
|
|
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|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\lceil$
|
|
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|
|
|
\end_inset
|
|
|
|
|
|
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|
|
|
|
|
|
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lfloor
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\lfloor$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
/
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $/$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $|$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="9" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $)$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
]
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $]$
|
|
|
|
|
|
\end_inset
|
|
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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|
\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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rangle
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\rangle$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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|
<row>
|
2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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|
\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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rceil
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\rceil$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
|
2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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rfloor
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\rfloor$
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\end_inset
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\end_layout
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\end_inset
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</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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\backslash
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\end_layout
|
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\end_inset
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|
</cell>
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $\backslash$
|
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|
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|
\end_inset
|
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
\end_layout
|
|
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|
\end_inset
|
|
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|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\|$
|
|
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|
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|
\end_inset
|
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
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|
|
|
\lang english
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset Note Greyedout
|
|
|
|
|
|
status open
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
Note:
|
|
|
|
|
|
\series default
|
|
|
|
|
|
En mode TeX, on doit utiliser la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
textbackslash
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! T !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
textbackslash
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
pour la barre de fraction inverse (backslash), puisque la commande
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
produit un saut de ligne.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On peut ajuster la taille de tous les caractères listés ci-dessus avec les
|
|
|
|
|
|
commandes décrites dans les deux sous-sections qui suivent.
|
|
|
|
|
|
Quand on utilise ces commandes, on peut utiliser directement les caractères
|
|
|
|
|
|
< et > , plutôt que les commandes
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
langle
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
rangle
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsubsection
|
|
|
|
|
|
Taille de parenthèse manuelle
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Taille-parenthèses-manuelle"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Taille parenthèses ! manuelle
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La taille des parenthèses peut être précisée manuellement en utilisant les
|
|
|
|
|
|
commandes LaTeX
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
big
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! B !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
big
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
,
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Big
|
|
|
|
|
|
\series default
|
|
|
|
|
|
,
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigg
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Bigg
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
big
|
|
|
|
|
|
\series default
|
|
|
|
|
|
indique la plus petite taille et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Bigg
|
|
|
|
|
|
\series default
|
|
|
|
|
|
la plus grande.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Ces commandes sont utilisées pour mettre en évidence les différents niveaux
|
|
|
|
|
|
de parenthèses:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="2" columns="2">
|
|
|
|
|
|
<features>
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
toutes les parenthèses de la même taille:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $((A+B)(A-B))^{C}\raisebox{-4mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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c'est mieux comme cela:
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\Big((A+B)(A-B)\Big)^{C}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\begin_inset Note Note
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\series bold
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\lang english
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\backslash
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raisebox
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour la deuxième formule, on a utilisé la commande
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\backslash
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Big((A+B)(A-B)
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\backslash
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Big)^
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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C.
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\end_layout
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\begin_layout Standard
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Voici un aperçu de toutes les tailles de parenthèses:
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\end_layout
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\begin_layout Standard
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\align center
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\backslash
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Bigg(
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\backslash
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exp
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\backslash
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bigg<
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\backslash
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Big[
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\backslash
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big{
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\backslash
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ln(3x)
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\backslash
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big}^2
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\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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sin(x)
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\backslash
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Big]^
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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bigg>
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\backslash
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Bigg)^0,5
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\end_layout
|
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|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\Bigg(\exp\bigg<\Big[\big\{\ln(3x)\big\}^{2}\sin(x)\Big]^{A}\bigg>\Bigg)^{0,5}$
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
\end_layout
|
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|
\begin_layout Standard
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Newpage newpage
|
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|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
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|
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|
En plus des commandes
|
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|
\series bold
|
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|
\backslash
|
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big
|
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|
\series default
|
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|
, il y a la variante
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\series bold
|
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|
\backslash
|
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|
bigm
|
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Commandes ! B !
|
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|
\backslash
|
|
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|
bigm
|
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|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
|
|
|
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|
|
|
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|
|
qui ajoute un peu plus d'espace entre la parenthèse et son contenu, et
|
|
|
|
|
|
la variante
|
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|
\series bold
|
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\backslash
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bigl
|
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|
\series default
|
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|
-
|
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\series bold
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\backslash
|
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bigr
|
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|
\series default
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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Commandes ! B !
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\backslash
|
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bigl -
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\backslash
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bigr
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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|
, qui n'ajoute pas d'espace.
|
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|
Le
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|
\emph on
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l
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|
\emph default
|
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|
à la fin de la commande
|
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|
\series bold
|
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\backslash
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bigl
|
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|
\series default
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|
est pour la parenthèse gauche; pour la parenthèse droite, il est remplacé
|
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|
par un
|
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|
\emph on
|
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r
|
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|
\emph default
|
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|
.
|
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|
Une parenthèse droite ou gauche peut être aussi bien une parenthèse fermante
|
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|
ou ouvrante.
|
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|
\end_layout
|
|
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|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Dans le tableau qui suit il y a une comparaison des différentes variantes:
|
|
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|
|
|
\end_layout
|
|
|
|
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|
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|
\begin_layout Standard
|
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|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
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|
<lyxtabular version="3" rows="5" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
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|
<column alignment="center" valignment="middle" width="0">
|
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|
<column alignment="center" valignment="middle" width="0">
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Commande
|
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\end_layout
|
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|
\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
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|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Résultat
|
|
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|
\begin_inset Note Note
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\series bold
|
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\backslash
|
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|
raisebox est seulement utilisée pour faire de la place
|
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|
\end_layout
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\end_inset
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\end_layout
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\end_inset
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|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
Bigm(
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\backslash
|
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|
bigm(
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\backslash
|
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ln(3x)
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\backslash
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|
bigm)^2
|
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\begin_inset ERT
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
|
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Bigm)
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\end_layout
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|
\end_inset
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|
</cell>
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
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|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5.5mm}{}\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)\raisebox{-3.25mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
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\end_layout
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|
\end_inset
|
|
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|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Big(
|
|
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\backslash
|
|
|
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|
|
big(
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ln(3x)
|
|
|
|
|
|
\backslash
|
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big)^2
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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Big)
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{5.5mm}{}\Big(\big(\ln(3x)\big)^{2}\Big)\raisebox{-3.25mm}{}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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Bigl(
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\backslash
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bigl(
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\backslash
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ln(3x)
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\backslash
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bigr)^2
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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Bigr)
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
\begin_inset Formula $\raisebox{5.5mm}{}\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)\raisebox{-3.25mm}{}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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bigl)
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\backslash
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ln(3x)
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\backslash
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bigr(
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
\begin_inset Formula $\raisebox{4.5mm}{}\bigl)\ln(3x)\bigr(\raisebox{-2mm}{}$
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
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\end_layout
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\end_inset
|
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</cell>
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</row>
|
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</lyxtabular>
|
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\end_inset
|
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\end_layout
|
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|
\begin_layout Subsubsection
|
|
|
|
|
|
Taille de parenthèse automatique
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Taille-parenthèses-automatique"
|
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|
\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset Index
|
|
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|
|
|
status collapsed
|
|
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|
|
|
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|
|
\begin_layout Plain Layout
|
|
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|
|
|
Taille parenthèses ! automatique
|
|
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|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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\end_layout
|
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|
\begin_layout Standard
|
|
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|
|
On peut insérer des parenthèses à taille variable avec les commandes
|
|
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|
|
\series bold
|
|
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\backslash
|
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left
|
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
|
status collapsed
|
|
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|
\begin_layout Plain Layout
|
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|
Commandes ! L !
|
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|
\backslash
|
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left
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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et
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\series bold
|
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\backslash
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right
|
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_inset Index
|
|
|
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|
|
status collapsed
|
|
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|
\begin_layout Plain Layout
|
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|
Commandes ! R !
|
|
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|
\backslash
|
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|
right
|
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|
\end_layout
|
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|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
ou avec le bouton
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
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|
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|
|
\begin_inset Graphics
|
|
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|
|
filename ../../images/dialog-show_mathdelimiter.png
|
|
|
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|
|
scale 85
|
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|
\end_inset
|
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|
|
de la barre d'outils mathématique.
|
|
|
|
|
|
On doit insérer la parenthèse voulue juste après la commande
|
|
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|
|
|
\series bold
|
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\backslash
|
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left
|
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|
\series default
|
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|
ou
|
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\series bold
|
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\backslash
|
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right
|
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|
\series default
|
|
|
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|
|
.
|
|
|
|
|
|
La taille de la parenthèse sera alors calculée automatiquement pour la
|
|
|
|
|
|
sortie.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
parenthèse normale: La commande
|
|
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|
|
\series bold
|
|
|
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|
|
|
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|
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|
|
\backslash
|
|
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|
|
ln(
|
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|
\backslash
|
|
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|
frac
|
|
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|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\backslash
|
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|
spce
|
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|
\end_layout
|
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|
\end_inset
|
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|
A
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
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|
C
|
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|
\begin_inset ERT
|
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|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
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|
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|
|
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|
|
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|
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\backslash
|
|
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|
spce
|
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\end_layout
|
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|
\end_inset
|
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|
|
|
|
|
|
|
|
)
|
|
|
|
|
|
\series default
|
|
|
|
|
|
donne
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\ln(\frac{A}{C})\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
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|
\end_layout
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
parenthèse adaptable: La commande
|
|
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|
|
\series bold
|
|
|
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|
|
|
|
|
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|
|
\backslash
|
|
|
|
|
|
ln
|
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|
\backslash
|
|
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|
left(
|
|
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|
\backslash
|
|
|
|
|
|
frac
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
C
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
right)
|
|
|
|
|
|
\series default
|
|
|
|
|
|
donne
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\ln\left(\frac{A}{C}\right)\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
À la place des commandes
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
left
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
right
|
|
|
|
|
|
\series default
|
|
|
|
|
|
on peut utiliser le raccourci
|
|
|
|
|
|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Alt-m
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
parenthèse
|
|
|
|
|
|
\family default
|
|
|
|
|
|
.
|
|
|
|
|
|
Ceci a l'avantage que vous pouvez voir immédiatement dans LyX la taille
|
|
|
|
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|
réelle des parenthèses et que la parenthèse droite associée est aussi créée
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en même temps.
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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La commande pour le dernier exemple serait alors:
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\series bold
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\backslash
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ln Alt-m
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\series default
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\series bold
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(
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\backslash
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frac
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\begin_inset Formula $\downarrow$
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\end_inset
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C
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\end_layout
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\begin_layout Standard
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Pour omettre une parenthèse gauche ou droite, on met un point à la place
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de la parenthèse omise.
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Par exemple, la commande
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\series bold
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\backslash
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left.
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\backslash
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frac
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\begin_inset Formula $\downarrow$
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\end_inset
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B
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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right}
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\series default
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donne:
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\series bold
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\begin_inset Formula \[
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\left.\frac{A}{B}\right\} \]
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\end_inset
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\series default
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Les commandes
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\series bold
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\backslash
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left
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\series default
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et
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\series bold
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\backslash
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right
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\series default
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seront converties par LyX en parenthèses de taille appropriée quand le
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document sera rechargé et une parenthèse omise apparaîtra sous la forme
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d'une ligne en pointillé.
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace bigskip
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\end_inset
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Parce que toutes les distributions LaTeX courantes utilisent eTeX, une extension
|
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de LaTeX, la commande
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\series bold
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\backslash
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middle
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\series default
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2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! M !
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\backslash
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middle
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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|
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est aussi disponible pour toutes les parenthèses et limites.
|
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|
|
Avec cette commande la taille du caractère suivant est adaptée à la taille
|
|
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|
|
|
des parenthèses voisines, ce qui est nécessaire par exemple, pour les vecteurs
|
|
|
|
|
|
de la physique quantique:
|
|
|
|
|
|
\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
|
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|
|
\left\langle \phi\:\middle|\: J=\frac{3}{2}\,,\, M_{J}\right\rangle \]
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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Pour les vecteurs physiques, il existe un paquetage LaTeX spécialisé décrit
|
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|
en
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset ref
|
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|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Vecteurs-physiques"
|
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\end_inset
|
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.
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\end_layout
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|
\begin_layout Subsection
|
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Accolades horizontales
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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status collapsed
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\begin_layout Plain Layout
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Accolades ! horizontales
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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\end_layout
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|
\begin_layout Standard
|
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|
\align center
|
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|
\begin_inset Tabular
|
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|
|
<lyxtabular version="3" rows="4" columns="2">
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|
<features>
|
2008-03-28 01:54:17 +00:00
|
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|
<column alignment="center" valignment="top" width="0pt">
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<column alignment="center" valignment="top" width="0pt">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Commande
|
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\begin_inset Note Note
|
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status open
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\series bold
|
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|
\backslash
|
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|
raisebox est seulement utilisée pour faire de la place
|
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|
\end_layout
|
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\end_inset
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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|
raisebox{2.3mm}{
|
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\end_layout
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\end_inset
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\backslash
|
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overbrace
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\begin_inset ERT
|
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|
status collapsed
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
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spce
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\end_layout
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\end_inset
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A+B
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\begin_inset ERT
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
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spce
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\end_layout
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\end_inset
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^
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\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
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spce
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\end_layout
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\end_inset
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3
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\begin_inset ERT
|
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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}
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\end_layout
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\end_inset
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|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
|
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status collapsed
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|
\begin_layout Plain Layout
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|
Commandes ! O !
|
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|
\backslash
|
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|
|
overbrace
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
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\end_layout
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|
\end_inset
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|
</cell>
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
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|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\overbrace{A+B}^{3}$
|
|
|
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|
|
\end_inset
|
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|
\end_layout
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|
|
\end_inset
|
|
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|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
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|
|
|
|
|
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|
|
\backslash
|
|
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|
|
|
raisebox{-2.2mm}{
|
|
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|
|
\end_layout
|
|
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|
\end_inset
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\backslash
|
|
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|
|
underbrace
|
|
|
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|
|
\begin_inset ERT
|
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A+B
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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|
_5
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\begin_inset ERT
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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}
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\end_layout
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\end_inset
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|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! U !
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\backslash
|
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underbrace
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $\underbrace{A+B}_{5}$
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\end_inset
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\end_layout
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\end_inset
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</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
overbrace
|
2008-02-26 23:32:51 +00:00
|
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|
\begin_inset ERT
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-26 23:32:51 +00:00
|
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\backslash
|
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spce
|
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|
\end_layout
|
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|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
|
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|
\backslash
|
|
|
|
|
|
underbrace
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
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|
|
|
|
|
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|
|
\backslash
|
|
|
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|
spce
|
|
|
|
|
|
\end_layout
|
|
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|
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|
|
\end_inset
|
|
|
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|
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|
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|
|
A+B_w
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
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|
|
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|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
_7
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
^
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
C
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\overbrace{\underbrace{A+B_{w}}_{7}}^{C}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Dans le dernier exemple, il importe peu que
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
overbrace
|
|
|
|
|
|
\series default
|
|
|
|
|
|
ou
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
underbrace
|
|
|
|
|
|
\series default
|
|
|
|
|
|
soit inséré en premier.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace bigskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Quand des accolades doivent se chevaucher les unes les autres, on doit utiliser
|
|
|
|
|
|
des formules multi-lignes, comme c'est décrit en :
|
|
|
|
|
|
\begin_inset Formula \begin{eqnarray*}
|
|
|
|
|
|
A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\\
|
|
|
|
|
|
& & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}\end{eqnarray*}
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Dans la première ligne la formule est insérée avec l'accolade.
|
|
|
|
|
|
Dans celle-ci, il est important que la commande d'espacement
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Les commandes concernant les espaces sont expliquées dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Espace-prédéfini"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
:
|
|
|
|
|
|
\series default
|
|
|
|
|
|
soit insérée avant le premier
|
|
|
|
|
|
\begin_inset Formula $d$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, parce que l'accolade qui se termine après le dernier
|
|
|
|
|
|
\begin_inset Formula $q$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
empêche que le
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
+
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
qui suit soit entouré par des espaces
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
parce que l'accolade n'est pas traitée comme un caractère, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Opérateurs-binaires"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
On insère la deuxième accolade dans la deuxième ligne.
|
|
|
|
|
|
Comme elle doit commencer juste avant le premier
|
|
|
|
|
|
\begin_inset Formula $b$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, on insère d'abord la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hphantom{gggg+
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
:}
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
plus au sujet de
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hphantom
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Garnitures"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
Cet espace est nécessaire puisque le
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
+
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
est aussi entouré d'espace dans la formule.
|
|
|
|
|
|
L'accolade est placée sous la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hphantom{bbqq+dddd}
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
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\begin_layout Standard
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Cela devient plus compliqué quand les deux accolades se chevauchent comme
|
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dans l'exemple suivant:
|
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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setlength{
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\backslash
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jot}{-6pt}
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\end_layout
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\end_inset
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\begin_inset Formula \begin{eqnarray*}
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& & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
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A & = & \underbrace{gggg+bbqq}_{r}+\: dddd\end{eqnarray*}
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\end_inset
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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setlength{
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\backslash
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jot}{3pt}
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\end_layout
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\end_inset
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La première ligne de la formule est la même que la deuxième ligne de l'exemple
|
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précédent, à la différence que l'accolade se trouve maintenant au dessus.
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La seconde ligne contient la formule avec la deuxième accolade.
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Pour éviter qu'il y ait trop d'espace entre l'accolade de la première ligne
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et la formule, on doit réduire l'espacement entre les lignes.
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Ce n'est pas facile à cause d'un bug de LyX
|
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-03-29 04:25:35 +00:00
|
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|
\begin_inset CommandInset href
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|
LatexCommand href
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|
|
name "LyX-bug #1505"
|
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|
target "http://bugzilla.lyx.org/show_bug.cgi?id=1505"
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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.
|
2008-03-28 01:54:17 +00:00
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Comme solution à ce problème, on peut mettre à -6
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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pt la formule globale pour l'espacement des lignes
|
2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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jot
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! J !
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\backslash
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jot
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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, juste avant la formule en utilisant la commande
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\series bold
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\backslash
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setlength{
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\backslash
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jot}{-6pt}
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\series default
|
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|
en mode TeX.
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|
\series bold
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\backslash
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jot
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\series default
|
2008-03-28 01:54:17 +00:00
|
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|
est remise à sa valeur initiale de 3
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
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|
pt juste après la formule, en utilisant la même commande.
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Vous trouverez plus d'explications sur la séparation des lignes dans les
|
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|
|
formules dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
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|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Séparation-des-lignes"
|
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|
\end_inset
|
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.
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\end_layout
|
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|
\begin_layout Section
|
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|
Flèches
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Flèches
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
|
On peut insérer des flèches avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/leftarrow.png
|
|
|
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|
|
scale 85
|
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|
|
\end_inset
|
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|
|
de la barre d'outils mathématique ou en insérant une des commandes listées
|
|
|
|
|
|
dans les sous-sections qui suivent.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
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|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Flèches horizontales
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
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|
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|
\begin_layout Plain Layout
|
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|
Flèches ! horizontales
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
|
\end_layout
|
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|
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|
|
\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="8" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
gets
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\gets$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
|
\end_layout
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Leftarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Leftarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
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|
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|
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|
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|
|
\end_layout
|
|
|
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|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
longleftarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\longleftarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
|
|
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|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Longleftarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Longleftarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
leftharpoonup
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\leftharpoonup$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
leftharpoondown
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\leftharpoondown$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hookleftarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\hookleftarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="8" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Command
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
to
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Rightarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Rightarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
longrightarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\longrightarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Longrightarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Longrightarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
rightharpoonup
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\rightharpoonup$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
rightharpoondown
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\rightharpoondown$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hookrightarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\hookrightarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
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<lyxtabular version="3" rows="6" columns="2">
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<features>
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2008-03-28 01:54:17 +00:00
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<column alignment="center" valignment="top" width="0pt">
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<column alignment="center" valignment="top" width="0pt">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Commande
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Résultat
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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leftrightarrow
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\leftrightarrow$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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Leftrightarrow
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\Leftrightarrow$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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longleftrightarrow
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\longleftrightarrow$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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|
<row>
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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Longleftrightarrow
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\end_layout
|
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\end_inset
|
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</cell>
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $\Longleftrightarrow$
|
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|
\end_inset
|
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
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|
|
rightleftharpoons
|
|
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|
\end_layout
|
|
|
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|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\rightleftharpoons$
|
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|
\end_inset
|
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|
\end_layout
|
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|
|
\end_inset
|
|
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|
|
</cell>
|
|
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|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
|
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|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hspace{}
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\length 25pt
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="5" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
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|
|
|
</cell>
|
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
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|
|
|
|
\backslash
|
|
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|
mapsto
|
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|
|
\end_layout
|
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|
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|
\end_inset
|
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|
|
</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $\mapsto$
|
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|
\end_inset
|
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
|
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|
longmapsto
|
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|
\end_layout
|
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|
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|
|
\end_inset
|
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|
</cell>
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\longmapsto$
|
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|
\end_inset
|
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|
\end_layout
|
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|
\end_inset
|
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|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
leadsto
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\leadsto$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dasharrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\dasharrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
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|
|
</lyxtabular>
|
|
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|
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|
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|
|
|
\end_inset
|
|
|
|
|
|
|
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|
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|
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|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
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|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Les flèches qui sont utilisées comme accentuation, comme par exemple les
|
|
|
|
|
|
flèches des vecteurs, sont listées dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sec:Accents"
|
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|
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|
\end_inset
|
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|
|
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.
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|
\end_layout
|
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|
|
\begin_layout Standard
|
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|
|
\begin_inset VSpace bigskip
|
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|
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|
|
\end_inset
|
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|
|
Il y a aussi les flèches avec étiquette
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
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|
|
\begin_layout Plain Layout
|
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|
Flèches ! avec étiquette
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
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|
\end_inset
|
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|
\series bold
|
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|
\backslash
|
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|
xleftarrow
|
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
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|
status collapsed
|
|
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|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
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|
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|
|
Commandes ! X !
|
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|
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|
\backslash
|
|
|
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|
xleftarrow
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
et
|
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|
\series bold
|
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|
\backslash
|
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|
xrightarrow
|
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
|
|
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|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
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|
|
|
Commandes ! X !
|
|
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|
|
\backslash
|
|
|
|
|
|
xrightarrow
|
2008-05-09 23:48:55 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
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|
|
status collapsed
|
|
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|
|
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|
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|
\begin_layout Plain Layout
|
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|
\backslash
|
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|
vspace{4mm}
|
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|
\end_layout
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
Quand on insère une de ces commandes dans une formule, une flèche avec
|
|
|
|
|
|
deux boîtes bleues apparaît, dans lesquelles on peut mettre les étiquettes.
|
|
|
|
|
|
La longueur de la flèche s'adapte à la largeur de l'étiquette.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="3" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
F(a)
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
xleftarrow
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
x=a
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
x>0
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
F(x)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}F(a)\xleftarrow[x>0]{x=a}F(x)\raisebox{-4mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
F(x)
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
xrightarrow
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
x=a
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
x>0
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
F(a)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}F(x)\xrightarrow[x>0]{x=a}F(a)\raisebox{-4mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Flèches verticales et diagonales
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Flèches ! diagonales
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Flèches ! verticales
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="7" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
uparrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\uparrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Uparrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Uparrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
updownarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\updownarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Updownarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Updownarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Downarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Downarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
downarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="5" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
nearrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\nearrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
searrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\searrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
swarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\swarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
nwarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\nwarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Les flèches verticales peuvent aussi être utilisées comme séparateurs en
|
|
|
|
|
|
même temps que les commandes décrites dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Taille-parenthèses-manuelle"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
et
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Taille-parenthèses-automatique"
|
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|
\end_inset
|
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.
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|
\end_layout
|
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|
\begin_layout Standard
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Newpage newpage
|
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\end_inset
|
2008-02-12 22:22:36 +00:00
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|
\end_layout
|
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|
\begin_layout Section
|
|
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|
Accents
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sec:Accents"
|
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|
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|
\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Accents
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
|
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|
\end_layout
|
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|
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|
|
\begin_layout Standard
|
2008-03-28 01:54:17 +00:00
|
|
|
|
On peut ajouter des accents avec le bouton
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Graphics
|
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|
filename ../../images/math/hat.png
|
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|
|
scale 85
|
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|
\end_inset
|
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|
de la barre d'outils mathématique ou en utilisant les commandes listées
|
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|
dans les sous-sections qui suivent.
|
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|
\end_layout
|
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|
\begin_layout Subsection
|
|
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|
Accents pour un caractère
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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|
\backslash
|
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|
texorpdfstring{
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|
\end_layout
|
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|
\end_inset
|
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|
\begin_inset Foot
|
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|
status collapsed
|
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pour les accents dans le texte, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Accents-dans-le-texte"
|
|
|
|
|
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|
|
\end_inset
|
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
|
\begin_inset ERT
|
|
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|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
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|
|
}{}
|
|
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|
\end_layout
|
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|
\end_inset
|
|
|
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|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
texorpdfstring est utilisé pour éviter que la note de bas de page apparaisse
|
|
|
|
|
|
dans les signets PDF.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Plus au sujet de
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
texorpdfstring dans la section
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:formules-dans-les-entêtes"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Accents-sur-un-caractère"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Accents ! pour un caractère
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="8" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dot
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\dot{A}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ddot
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\ddot{A}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dddot
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\dddot{A}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
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\backslash
|
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|
ddddot{A
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
\begin_inset Formula $\raisebox{5mm}{}\ddddot{A}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
|
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\end_layout
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\end_inset
|
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|
</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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vec
|
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|
\begin_inset ERT
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
|
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\end_layout
|
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\end_inset
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A
|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
|
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status collapsed
|
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\begin_layout Plain Layout
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Vecteurs
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
|
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\end_layout
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\end_inset
|
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
\begin_inset Formula $\raisebox{5mm}{}\vec{A}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
|
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\end_layout
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\end_inset
|
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|
</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
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|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
|
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|
bar
|
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|
\begin_inset ERT
|
|
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|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
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|
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|
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|
\backslash
|
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|
spce
|
|
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|
|
\end_layout
|
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|
\end_inset
|
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|
A
|
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|
\end_layout
|
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|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\bar{A}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
|
|
|
|
\end_layout
|
|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathring
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\mathring{A}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="7" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
tilde
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\tilde{A}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hat
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\hat{A}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
check
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\check{A}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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acute
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{5mm}{}\acute{A}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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grave
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{5mm}{}\grave{A}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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breve
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
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|
\begin_inset Formula $\raisebox{5mm}{}\breve{A}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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|
2008-06-04 22:36:44 +00:00
|
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\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
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\end_layout
|
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|
\begin_layout Standard
|
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|
\begin_inset VSpace bigskip
|
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|
\end_inset
|
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|
Pour créer des trémas (umlauts en allemand)
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Umlauts | see
|
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|
\begin_inset ERT
|
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|
|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
{
|
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|
\end_layout
|
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|
\end_inset
|
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|
Trémas
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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}
|
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\end_layout
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\end_inset
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
|
|
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|
|
status collapsed
|
|
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|
\begin_layout Plain Layout
|
|
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|
Trémas
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
dans des formules, on insère des guillemets devant une voyelle.
|
|
|
|
|
|
Ces deux caractères sont alors traités comme
|
|
|
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|
|
\emph on
|
|
|
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|
un seul
|
|
|
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|
|
\emph default
|
|
|
|
|
|
caractère par LaTeX si la portion de formule avec le tréma est marqué comme
|
|
|
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|
|
étant en allemand.
|
|
|
|
|
|
Avec cette méthode, contrairement à
|
|
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|
\series bold
|
|
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|
|
\backslash
|
|
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|
ddot
|
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|
\series default
|
|
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|
, on crée de
|
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|
\begin_inset Quotes eld
|
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|
\end_inset
|
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|
vrais
|
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|
\begin_inset Quotes erd
|
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|
\end_inset
|
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|
|
umlauts, comme le montre l'exemple suivant:
|
|
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|
|
\end_layout
|
|
|
|
|
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|
\begin_layout Standard
|
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|
\begin_inset VSpace -2mm
|
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|
\end_inset
|
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\end_layout
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|
\begin_layout Standard
|
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|
\align center
|
|
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|
\begin_inset Tabular
|
|
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|
|
<lyxtabular version="3" rows="3" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
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|
<column alignment="center" valignment="top" width="0">
|
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|
<column alignment="center" valignment="top" width="0">
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
Commande
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
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|
|
\series bold
|
|
|
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|
|
|
|
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|
|
\backslash
|
|
|
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|
|
raisebox est seulement utilisée pour faire de la place
|
|
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|
\end_layout
|
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|
\end_inset
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\end_layout
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|
\end_inset
|
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|
</cell>
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Quotes grd
|
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|
\end_inset
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|
i
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|
\end_layout
|
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|
\end_inset
|
|
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|
</cell>
|
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\lang german
|
|
|
|
|
|
\begin_inset Formula $"i$
|
|
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|
|
|
\end_inset
|
|
|
|
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|
|
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|
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|
|
\lang french
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
il faut que cette formule soit en allemand (NdT)
|
|
|
|
|
|
\end_layout
|
|
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|
\end_inset
|
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|
\end_layout
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ddot
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
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|
i
|
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|
\end_layout
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\ddot{i}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
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|
</lyxtabular>
|
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|
\end_inset
|
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\end_layout
|
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|
\begin_layout Standard
|
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Un autre avantage par rapport à
|
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\series bold
|
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|
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\backslash
|
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|
ddot
|
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|
\series default
|
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|
|
|
|
est que les trémas peuvent être convertis directement en texte mathématique,
|
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|
parce que les accents vus plus haut
|
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|
|
\emph on
|
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|
|
ne sont pas autorisés
|
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|
|
\emph default
|
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|
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en texte mathématique.
|
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|
Quand on convertit un caractère accentué en texte mathématique, seul le
|
|
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|
|
|
caractère qui est sous l'accent est converti.
|
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|
Ceci s'applique aussi à toutes les autres conversions comme par exemple
|
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|
|
l'italique ou le gras.
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
En texte mathématique, les trémas et autres caractères accentués peuvent
|
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|
être insérés directement.
|
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\end_layout
|
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\begin_layout Subsection
|
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Accents pour les opérateurs
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Accents ! pour les opérateurs
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
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\end_layout
|
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|
\begin_layout Standard
|
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Avec les commandes
|
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|
\series bold
|
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\backslash
|
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overset
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\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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status collapsed
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\begin_layout Plain Layout
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Commandes ! O !
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\backslash
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overset
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
|
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et
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\series bold
|
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\backslash
|
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underset
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Commandes ! U !
|
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|
\backslash
|
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|
underset
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
|
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|
|
|
|
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|
|
on peut placer des caractères respectivement au dessus ou en dessous d'un
|
|
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|
|
|
opérateur, pour l'accentuer.
|
|
|
|
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|
Avec la commande
|
|
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|
|
|
\series bold
|
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|
\backslash
|
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|
sideset
|
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|
|
\series default
|
|
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|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! S !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sideset
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, on peut placer des caractères avant ou après un opérateur.
|
|
|
|
|
|
La syntaxe de la commande est:
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sideset{caractère avant}{caractère après}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
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|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sideset
|
|
|
|
|
|
\series default
|
|
|
|
|
|
doit toujours se trouver avant l'opérateur qui est accentué.
|
|
|
|
|
|
Vous pouvez utiliser pour l'accentuation plusieurs caractères et même
|
|
|
|
|
|
d'autres opérateurs ou des symboles.
|
|
|
|
|
|
Pour placer avec
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sideset,
|
|
|
|
|
|
\series default
|
|
|
|
|
|
par exemple seulement des caractères derrière un opérateur, ne mettez rien
|
|
|
|
|
|
entre les deux premières accolades, mais ne les omettez pas.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Par exemple la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sideset{
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
{
|
|
|
|
|
|
\series default
|
|
|
|
|
|
'
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sum_k=1
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
^
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
n
|
|
|
|
|
|
\series default
|
|
|
|
|
|
donne:
|
|
|
|
|
|
\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\sideset{}{'}\sum_{k=1}^{n}\]
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
overset
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
maltese
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula $\uparrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
a
|
|
|
|
|
|
\series default
|
|
|
|
|
|
donne:
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\overset{a}{\maltese}\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Comme on peut le voir dans le dernier exemple, avec
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
overset
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
underset
|
|
|
|
|
|
\series default
|
|
|
|
|
|
on peut aussi accentuer des symboles et des caractères; avec
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sideset
|
|
|
|
|
|
\series default
|
|
|
|
|
|
ce n'est pas possible.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Accents pour plusieurs caractères
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Accents-pour-plusieurs"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Accents ! pour plusieurs caractères
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="5" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\backslash
|
|
|
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|
overleftarrow
|
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|
\begin_inset ERT
|
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|
|
|
status collapsed
|
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|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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|
spce
|
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|
\end_layout
|
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\end_inset
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A=B
|
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\end_layout
|
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|
\end_inset
|
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
\begin_inset Formula $\raisebox{6mm}{}\overleftarrow{A=B}\raisebox{-2mm}{}$
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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\end_layout
|
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\end_inset
|
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|
</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
|
|
|
\backslash
|
|
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|
underleftarrow
|
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|
\begin_inset ERT
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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spce
|
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|
\end_layout
|
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|
\end_inset
|
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A=B
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\underleftarrow{A=B}\raisebox{-3mm}{}$
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
overleftrightarrow
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{6mm}{}\overleftrightarrow{A=B}\raisebox{-2mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
underleftrightarrow
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\underleftrightarrow{A=B}\raisebox{-3mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="5" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
overrightarrow
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{6mm}{}\overrightarrow{A=B}\raisebox{-2mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
underrightarrow
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}\underrightarrow{A=B}\raisebox{-3mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
widetilde
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{6mm}{}\widetilde{A=B}\raisebox{-2mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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widehat
|
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|
\begin_inset ERT
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
|
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\end_layout
|
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\end_inset
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A=B
|
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\end_layout
|
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|
\end_inset
|
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
\begin_inset Formula $\raisebox{6mm}{}\widehat{A=B}\raisebox{-2mm}{}$
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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\end_layout
|
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\end_inset
|
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</cell>
|
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</row>
|
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|
</lyxtabular>
|
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|
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|
|
\end_inset
|
|
|
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|
2008-06-04 22:36:44 +00:00
|
|
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|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
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|
|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
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|
|
\end_layout
|
|
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|
|
\begin_layout Standard
|
|
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|
|
\begin_inset VSpace medskip
|
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|
|
|
\end_inset
|
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|
Avec ces commandes, vous pouvez accentuer autant de caractères que vous
|
|
|
|
|
|
voulez.
|
|
|
|
|
|
Mais les accents
|
|
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|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
widetilde
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
widehat
|
|
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|
|
\series default
|
|
|
|
|
|
apparaîtront dans la sortie finale avec une longueur de seulement trois
|
|
|
|
|
|
caractères, comme on le voit dans l'exemple suivant:
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\widetilde{A+B=C-D}\]
|
|
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|
\end_inset
|
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|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Avec les commandes
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
overset
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! O !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
overset
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
underset
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! U !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
underset
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
décrites dans la sous-section précédente, il est aussi possible d'accentuer
|
|
|
|
|
|
plusieurs caractères.
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
La commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
underset
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A=B
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
***
|
|
|
|
|
|
\series default
|
|
|
|
|
|
donne:
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\underset{***}{A=B}\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Section
|
|
|
|
|
|
Espace
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Espace"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Espace ! horizontal
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Espace prédéfini
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Espace-prédéfini"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Espace ! horizontal ! prédéfini
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Il es parfois nécessaire d'insérer un espace horizontal dans une formule.
|
|
|
|
|
|
On le fait en utilisant une espace insécable (raccourci
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Ctrl-Espace
|
|
|
|
|
|
\family default
|
|
|
|
|
|
).
|
|
|
|
|
|
Un
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
\color blue
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
\color inherit
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
apparaît et en appuyant plusieurs fois sur
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Espace
|
|
|
|
|
|
\family default
|
|
|
|
|
|
on peut choisir l'une des huit différentes tailles d'espaces disponibles.
|
|
|
|
|
|
On peut aussi insérer ces espaces en utilisant le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/space.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils mathématique.
|
|
|
|
|
|
Indépendemment de la commande insérée, on peut toujours changer de taille
|
|
|
|
|
|
après en appuyant sur
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Espace
|
|
|
|
|
|
\family default
|
|
|
|
|
|
.
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\noindent
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset VSpace -5mm
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="3" columns="7">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="middle" width="6.8cm">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
,
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
;
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
quad
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
qquad
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
!
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Nombre de fois où on a appuyé sur la barre d'
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Espace
|
|
|
|
|
|
\family default
|
|
|
|
|
|
après avoir inséré l'espace insécable
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
0
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
1
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
2
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
3
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
4
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
5
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\, B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\: B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\; B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\quad B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\qquad B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\! B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La dernière taille n'a pas l'air de produire une espace.
|
|
|
|
|
|
Elle est affichée en rouge dans LyX, contrairement aux autres espaces,
|
|
|
|
|
|
parce que c'est une espace négative.
|
|
|
|
|
|
Il y a deux autres espaces négatives:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="3" columns="3">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="middle" width="6.8cm">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
negmedspace
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
negthickspace
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Nombre de fois où on a appuyé sur la barre d'
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Espace
|
|
|
|
|
|
\family default
|
|
|
|
|
|
après avoir inséré l'espace insécable
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
6
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
7
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell multicolumn="1" alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\negmedspace B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
\end_layout
|
|
|
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|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\negthickspace B$
|
|
|
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|
|
\end_inset
|
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|
\end_layout
|
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|
|
\end_inset
|
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|
|
</cell>
|
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|
</row>
|
|
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|
|
</lyxtabular>
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|
\end_inset
|
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|
\end_layout
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
Les espaces négatives peuvent faire que les caractères se chevauchent.
|
|
|
|
|
|
Elles peuvent être utilisée pour forcer des ligatures, par exemple pour
|
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|
|
|
|
les opérateurs de somme:
|
|
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|
|
\end_layout
|
|
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|
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|
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|
|
\begin_layout Standard
|
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|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="3" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
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|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
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|
|
\end_layout
|
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|
|
\end_inset
|
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|
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|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
Résultat
|
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|
\begin_inset Note Note
|
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|
|
status open
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\series bold
|
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|
|
\backslash
|
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|
|
raisebox est seulement utilisée pour faire de la place
|
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|
|
\end_layout
|
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|
\end_inset
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\backslash
|
|
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|
sum
|
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|
\backslash
|
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|
sum
|
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|
|
\begin_inset ERT
|
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|
|
|
status collapsed
|
|
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|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
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|
|
|
|
|
|
|
|
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|
|
\backslash
|
|
|
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|
|
spce
|
|
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|
|
\end_layout
|
|
|
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|
|
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|
|
\end_inset
|
|
|
|
|
|
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|
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|
|
f_kl
|
|
|
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|
|
\end_layout
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\sum\sum f_{kl}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
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|
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|
|
\end_layout
|
|
|
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|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sum
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
negmedspace
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sum
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
f_kl
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\sum\negmedspace\sum f_{kl}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les opérateur de relations comme par exemple le signe égal, sont toujours
|
|
|
|
|
|
entourés par des espaces.
|
|
|
|
|
|
Pour les supprimer, le signe égal est mis entre deux accolades TeX.
|
|
|
|
|
|
L'exemple suivant donne une illustration:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="2" columns="2">
|
|
|
|
|
|
<features>
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
équation normale
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A=B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
\lang english
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
équation sans espace
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell multicolumn="1" alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A{=}B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\noindent
|
|
|
|
|
|
La commande utilisée pour la dernière formule est:
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
A
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
{=
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace bigskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Les espaces sont nécessaires pour les unités physiques, parce que l'espace
|
|
|
|
|
|
insérée entre la valeur et l'unité est une espace fine et pas une espace
|
|
|
|
|
|
normale.
|
|
|
|
|
|
Pour les unités dans le texte, l'espace fine est insérée avec le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Insérer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Typographie
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
spéciale\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Espace
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
fine
|
|
|
|
|
|
\family default
|
|
|
|
|
|
(raccourci
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Ctrl-Shift-Espace
|
|
|
|
|
|
\family default
|
|
|
|
|
|
).
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Un exemple pour voir la différence:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="2" columns="2">
|
|
|
|
|
|
<features>
|
|
|
|
|
|
<column alignment="left" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="left" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
24 kW
|
|
|
|
|
|
\begin_inset Formula $\cdot$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
h
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
espace normale entre l'unité est la valeur
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
24
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
kW
|
|
|
|
|
|
\begin_inset Formula $\cdot$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
h
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
espace fine entre l'unité et la valeur
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Espace variable
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
texorpdfstring{
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pour les espacements verticaux dans les formules, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Séparation-des-lignes"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
}{}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
texorpdfstring est utilisé pour éviter que la note de bas de page apparaisse
|
|
|
|
|
|
dans les signets PDF.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Plus au sujet de
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
texorpdfstring dans la section
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:formules-dans-les-entêtes"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Espace-variable"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Espace ! horizontal ! variable
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Dans LyX, on peut insérer une espace de longueur définie avec la commande
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hspace{length}
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! H !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hspace
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
2008-07-10 23:08:38 +00:00
|
|
|
|
Pour la valeur de la longueur toutes les unités qui sont listées dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "tab:Unités-utilisées"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
sont utilisables à l'exception de l'unité
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
mu
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
La longueur peut aussi être négative.
|
|
|
|
|
|
Pour insérer suffisamment d'espace pour que la formule utilise tout l'espace
|
|
|
|
|
|
disponible, on utilise la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hfill
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! H !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hfill
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace -1mm
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="4" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A=B
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hspace{3cm
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
not=C
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $A=B\hspace{3cm}A\not=C$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hspace{-1mm
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
not=A
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $A\hspace{-1mm}A\not=A$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A=A
|
|
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|
|
\backslash
|
|
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|
hfill
|
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|
|
\begin_inset ERT
|
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|
|
|
status collapsed
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
spce
|
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\end_layout
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|
\end_inset
|
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|
B=B
|
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|
|
\end_layout
|
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|
|
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
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|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
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|
\begin_inset Formula $A=A\hfill B=B$
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
\end_layout
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
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|
</row>
|
|
|
|
|
|
</lyxtabular>
|
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|
\end_inset
|
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|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Dans le dernier exemple, l'espace disponible est déterminé par le contenu
|
|
|
|
|
|
de colonne le plus long du tableau.
|
|
|
|
|
|
Dans une formule en ligne l'espace dépend de la longueur de la ligne dans
|
|
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|
laquelle
|
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|
\series bold
|
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|
\backslash
|
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|
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|
hfill
|
|
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|
\series default
|
|
|
|
|
|
est inséré.
|
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|
|
|
|
Ce qui fait que si la formule prend toute la largeur de la ligne, aucun
|
|
|
|
|
|
espace ne sera ajouté.
|
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|
\series bold
|
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|
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|
\backslash
|
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|
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|
|
hfill
|
|
|
|
|
|
\series default
|
|
|
|
|
|
a un effet sur les formules hors ligne uniquement si on utilise le style
|
|
|
|
|
|
de formule
|
|
|
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|
|
\series bold
|
|
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|
|
Indenté
|
|
|
|
|
|
\series default
|
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|
|
|
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|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Les styles de formules sont expliqués dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sec:Styles-de-formules"
|
|
|
|
|
|
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|
|
|
\end_inset
|
|
|
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|
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|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
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|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-04-08 23:30:42 +00:00
|
|
|
|
Pour le texte, on peut insérer une espace de longueur variable avec le menu
|
|
|
|
|
|
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\family sans
|
2008-04-08 23:30:42 +00:00
|
|
|
|
Insérer\SpecialChar \menuseparator
|
|
|
|
|
|
Typographie
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-04-08 23:30:42 +00:00
|
|
|
|
spéciale\SpecialChar \menuseparator
|
|
|
|
|
|
Espacement horizontal,
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\family default
|
2008-04-08 23:30:42 +00:00
|
|
|
|
ce qui n'est pas possible avec les formules:
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Ceci est une ligne avec un espace de
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hspace{}
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\length 2cm
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
2
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
cm.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Ceci est une ligne avec un
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
espace maximum.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Espace après les formules en ligne
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Espace ! après les formules en ligne
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
L'espace qui entoure les formules en ligne peut être ajusté avec la longueur
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathsurround
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! M !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathsurround
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
La valeur d'une longueur est modifiée avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
setlength
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! S !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
setlength
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
qui a la syntaxe suivante:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
setlength{nom de la longueur}{valeur}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour mettre
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathsurround
|
|
|
|
|
|
\series default
|
2008-03-28 01:54:17 +00:00
|
|
|
|
à une valeur de 5
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
mm, on insère la commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
setlength{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathsurround}{5mm}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
en mode TeX.
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Une espace de 5
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
mm va maintenant être placée autour de toutes les formules en ligne:
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
setlength{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathsurround}{5mm}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Voici une formule en ligne
|
|
|
|
|
|
\begin_inset Formula $A=B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
avec une espace de 5
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
mm autour.
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
setlength{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathsurround}{0pt}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour revenir à la valeur prédéfinie, on met
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathsurround
|
|
|
|
|
|
\series default
|
2008-03-28 01:54:17 +00:00
|
|
|
|
à 0
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pt.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Section
|
|
|
|
|
|
Boîtes et cadres
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Boîtes
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
2008-07-10 23:08:38 +00:00
|
|
|
|
Cadres | see
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
{
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Boîtes
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
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\end_layout
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\begin_layout Standard
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Les boîtes utilisées pour le texte sont décrites dans le chapitre
|
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\emph on
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Boîtes
|
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\emph default
|
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du manuel
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\emph on
|
2008-05-07 21:51:01 +00:00
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Objets insérés.
|
2008-02-12 22:22:36 +00:00
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\end_layout
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\begin_layout Subsection
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Boîtes avec cadre
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
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name "sub:Boîtes-avec-cadre"
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Boîtes ! avec cadre
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Il es possible d'encadrer des formules ou des portions de formules avec
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la commande
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\series bold
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\backslash
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fbox
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! F !
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\backslash
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fbox
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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et
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\series bold
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\backslash
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boxed
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! B !
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\backslash
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boxed
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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Quand on insère une de ces commandes dans un formule, une boîte bleue apparaît
|
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à l'intérieur d'un cadre pour que l'on puisse entrer des portions de formules.
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Pour
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\series bold
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\backslash
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fbox
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\series default
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on doit créer à l'intérieur de cette boîte, une formule supplémentaire
|
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avec
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\family sans
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Ctrl-m
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\family default
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\begin_inset Foot
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
À cause d'un bug de LyX, il est impossible de créer une nouvelle formule
|
|
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|
avec
|
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\family sans
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Ctrl-m
|
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|
\family default
|
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, voir
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\begin_inset CommandInset href
|
|
|
|
|
|
LatexCommand href
|
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|
|
|
name "LyX-bug #1435"
|
|
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|
|
target "http://bugzilla.lyx.org/show_bug.cgi?id=1435"
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
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.
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\end_layout
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\end_inset
|
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|
, sinon le contenu de la boîte sera considéré comme du texte mathématique.
|
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|
Quand on utilise
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\series bold
|
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\backslash
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boxed
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|
\series default
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, une nouvelle formule est automatiquement créée à l'intérieur du cadre.
|
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|
\end_layout
|
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\begin_layout Standard
|
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La commande
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\series bold
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\backslash
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fbox
|
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|
\series default
|
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|
n'est pas utilisable pour encadrer des formules hors ligne, parce que la
|
|
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|
|
formule serait alors toujours mise à la taille du texte.
|
|
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|
\series bold
|
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\backslash
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boxed
|
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\series default
|
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|
, au contraire, n'est pas utilisable pour les formules en ligne, parce que
|
|
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|
|
la formule serait alors toujours mise à la taille des formules hors ligne.
|
|
|
|
|
|
\end_layout
|
|
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|
\begin_layout Standard
|
|
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|
|
Comme extension à
|
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|
\series bold
|
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|
\backslash
|
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|
fbox
|
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|
\series default
|
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|
il y a la commande
|
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|
\series bold
|
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\backslash
|
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|
framebox
|
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
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|
|
Commandes ! F !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
framebox
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
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|
\end_inset
|
|
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|
|
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|
où on peut en plus spécifier la largeur du cadre et l'alignement.
|
|
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|
|
|
La syntaxe de la commande
|
|
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|
\series bold
|
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|
\backslash
|
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|
framebox
|
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|
\series default
|
|
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|
est la suivante:
|
|
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|
|
\end_layout
|
|
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|
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|
\begin_layout Standard
|
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|
\series bold
|
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|
\backslash
|
|
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|
|
framebox[Largeur du cadre][position]{contenu de la boîte}
|
|
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|
|
|
\end_layout
|
|
|
|
|
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|
|
|
|
|
\begin_layout Standard
|
|
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|
|
|
La position peut être soit
|
|
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|
|
|
\emph on
|
|
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|
l
|
|
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|
|
|
\emph default
|
|
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|
soit
|
|
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|
\emph on
|
|
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|
r
|
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|
\emph default
|
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.
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|
\emph on
|
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|
l
|
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|
\emph default
|
|
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|
aligne la formule à gauche dans la boîte,
|
|
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|
|
\emph on
|
|
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|
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|
r
|
|
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|
\emph default
|
|
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|
à droite.
|
|
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|
|
|
Quand on ne précise pas la position, la formule est centrée.
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
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|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Si on ne donne pas de largeur, on ne peut pas donner d'indication de position.
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Dans ce cas, la largeur du cadre est ajustée au contenu de la boîte, comme
|
|
|
|
|
|
c'est le cas avec
|
|
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|
\series bold
|
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|
\backslash
|
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|
fbox
|
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|
\series default
|
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|
.
|
|
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|
|
\end_layout
|
|
|
|
|
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|
|
\begin_layout Standard
|
|
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|
|
|
Quand on insère la commande
|
|
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|
|
\series bold
|
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|
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|
|
|
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|
|
\backslash
|
|
|
|
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|
framebox
|
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|
|
\series default
|
|
|
|
|
|
, une boîte apparaît contenant trois boîtes bleues.
|
|
|
|
|
|
Les deux premières sont entourées de crochets pour signales des arguments
|
|
|
|
|
|
optionnels.
|
|
|
|
|
|
La troisième boîte est là pour contenir les portions de formules, comme
|
|
|
|
|
|
pour
|
|
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|
|
\series bold
|
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|
\backslash
|
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|
fbox
|
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|
\series default
|
|
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|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
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|
|
|
\align center
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Le tableau a été placé dans une minipage pour que la note de bas de page
|
|
|
|
|
|
apparaisse.
|
|
|
|
|
|
Sinon le texte de la note n'aurait pas été affiché.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Box Frameless
|
|
|
|
|
|
position "c"
|
|
|
|
|
|
hor_pos "c"
|
|
|
|
|
|
has_inner_box 1
|
|
|
|
|
|
inner_pos "c"
|
|
|
|
|
|
use_parbox 0
|
|
|
|
|
|
width "100col%"
|
|
|
|
|
|
special "none"
|
|
|
|
|
|
height "1in"
|
|
|
|
|
|
height_special "totalheight"
|
|
|
|
|
|
status open
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="5" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
À cause d'un bug de LyX, il n'est pas possible de créer une nouvelle formule
|
|
|
|
|
|
avec
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Ctrl-m
|
|
|
|
|
|
\family default
|
|
|
|
|
|
, voir
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\begin_inset CommandInset href
|
|
|
|
|
|
LatexCommand href
|
|
|
|
|
|
name "LyX-bug #1435"
|
|
|
|
|
|
target "http://bugzilla.lyx.org/show_bug.cgi?id=1435"
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-03-29 04:25:35 +00:00
|
|
|
|
.
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
\lang english
|
|
|
|
|
|
|
|
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|
|
\backslash
|
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raisebox
|
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\end_layout
|
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|
\end_inset
|
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
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|
|
\begin_inset Text
|
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|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
fbox
|
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|
\begin_inset ERT
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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spce
|
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\end_layout
|
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\end_inset
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\family sans
|
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Ctrl-m
|
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|
\family default
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\backslash
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int
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\begin_inset ERT
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
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spce
|
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\end_layout
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\end_inset
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A=B
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\end_layout
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|
\end_inset
|
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</cell>
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
\begin_inset Formula \raisebox{6mm}{}\fbox{$\int A=B$}\raisebox{-4mm}{}
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
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\end_layout
|
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\end_inset
|
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</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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boxed
|
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|
\begin_inset ERT
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
spce
|
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\end_layout
|
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|
\end_inset
|
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\backslash
|
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|
int
|
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|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
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|
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|
|
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|
\backslash
|
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|
|
spce
|
|
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|
|
\end_layout
|
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|
|
\end_inset
|
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|
A=B
|
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|
|
\end_layout
|
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|
|
\end_inset
|
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|
|
</cell>
|
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{8.5mm}{}\boxed{\int A=B}\raisebox{-6.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
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|
|
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|
|
\end_layout
|
|
|
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|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A+
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fbox
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{6mm}{}A+\fbox{B}\raisebox{-3mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
framebox
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
20mm
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Ctrl-m
|
|
|
|
|
|
\family default
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
frac
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{6mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Formula $\framebox[20mm][]{$\frac{A}{B}$}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{-4mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On peut aussi ajuster l'épaisseur du cadre.
|
|
|
|
|
|
Pour cela, il faut insérer les commandes suivantes en mode TeX avant la
|
|
|
|
|
|
formule
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fboxrule
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
épaisseur
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fboxsep
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
distance
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
distance
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
précise la distance minimale entre le cadre et le premier caractère de
|
|
|
|
|
|
la boîte.
|
|
|
|
|
|
Un exemple pour illustrer ceci avec la formule encadrée suivante:
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fboxrule 2mm
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fboxsep 3mm
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\boxed{A+B=C}\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Avant cette formule, on a inséré en mode TeX les commandes
|
|
|
|
|
|
\end_layout
|
|
|
|
|
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\begin_layout Standard
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\series bold
|
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\backslash
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fboxrule
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\series default
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\series bold
|
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2mm
|
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\series default
|
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\series bold
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\backslash
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fboxsep
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\series default
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\series bold
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3mm
|
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\end_layout
|
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|
\begin_layout Standard
|
|
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|
Les valeurs indiquées sont utilisées pour toutes les boîtes qui suivent.
|
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\end_layout
|
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\begin_layout Standard
|
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|
Pour revenir à la taille de cadre standard, on insère la commande
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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fboxrule
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\series default
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\series bold
|
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|
0.4pt
|
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\series default
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\series bold
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\backslash
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fboxsep
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\series default
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\series bold
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3pt
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\series default
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\begin_inset ERT
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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fboxrule 0.4pt
|
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\backslash
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fboxsep 3pt
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
|
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|
avant la formule suivante.
|
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|
\end_layout
|
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|
\begin_layout Subsection
|
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|
Boîtes sans cadre
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
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|
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|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Boîtes-sans-cadre"
|
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|
\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Boîtes ! sans cadre
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
\end_layout
|
|
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|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour obtenir des boîtes sans cadre, on utilise les commandes suivantes:
|
|
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|
\series bold
|
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|
\backslash
|
|
|
|
|
|
mbox
|
|
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|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! M !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mbox
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
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|
\end_inset
|
|
|
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|
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|
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|
|
,
|
|
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|
\series bold
|
|
|
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|
|
|
|
|
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|
|
\backslash
|
|
|
|
|
|
makebox
|
|
|
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|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! M !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
makebox
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! R !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Avec
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
une boîte peut être mise en exposant ou en indice.
|
|
|
|
|
|
Mais contrairement aux indices et aux exposants normaux, les caractères
|
|
|
|
|
|
conservent leur taille de police initiale.
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
est utilisée avec la syntaxe suivante:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox{hauteur}{contenu de la boîte}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Quand la boîte doit contenir une formule, il faut une formule supplémentaire
|
|
|
|
|
|
comme pour
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fbox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="4" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
H
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox{2mm
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
{al
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
lo
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $H\raisebox{2mm}{al}lo$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
H
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox{-2mm
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
{al
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
lo
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $H\raisebox{-2mm}{al}lo$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A=
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox{-2mm
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
{
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Ctrl-m
|
|
|
|
|
|
\family default
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sqrt
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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2008-03-28 01:54:17 +00:00
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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$A=
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raisebox{-2mm}{$
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sqrt{B}$}$
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</lyxtabular>
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\begin_layout Standard
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La dernière formule ne peut actuellement être créée qu'en mode TeX, parce
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que LyX insère une boîte plutôt que la formule supplémentaire qui est nécessair
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e
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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voir
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2008-03-29 04:25:35 +00:00
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\begin_inset CommandInset href
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LatexCommand href
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name "LyX-bug #1435"
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target "http://bugzilla.lyx.org/show_bug.cgi?id=1435"
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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La commande
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\series bold
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\backslash
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mbox
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\series default
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est équivalente à
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\series bold
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\backslash
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fbox
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\series default
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et
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\series bold
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\backslash
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makebox
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\series default
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est équivalente à
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\series bold
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\backslash
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framebox
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\series default
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, avec la différence qu'il n'y a pas de cadre.
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\end_layout
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\begin_layout Subsection
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Boîtes colorées
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
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2008-02-12 22:22:36 +00:00
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name "sub:Boîtes-colorées"
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Boîtes ! colorées
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour pouvoir utiliser les commandes de cette section il faut que le paquetage
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LaTeX
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\series bold
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color
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\series default
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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La paquetage LaTeX
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\series bold
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color
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\series default
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fait partie de toutes les installations LaTeX standard.
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Paquetages ! color
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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soit chargé dans le préambule LaTeX avec la ligne
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Dès que du texte est coloré avec une couleur prédéfinie quelque part dans
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le document, LyX charge automatiquement le paquetage LaTeX
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\series bold
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color
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\series default
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.
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Il est donc possible que le paquetage soit chargé deux fois, mais cela
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ne doit pas poser de problème.
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\end_layout
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\end_inset
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\begin_inset Note Note
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Pour éviter que le paquetage soit chargé deux fois, une macro a été insérée
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dans le préambule LaTeX.
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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usepackage{color}
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace medskip
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\end_inset
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Pour colorer des boîtes, on utilise la commande
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\series bold
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\backslash
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colorbox
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! C !
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\backslash
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colorbox
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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avec la syntaxe suivante
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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colorbox{couleur}{contenu de la boîte}
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\end_layout
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\begin_layout Standard
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Le contenu de la boîte peut être une autre boîte et une
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\series bold
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\backslash
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colorbox
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\series default
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peut aussi être une partie d'une autre boîte (voir le deuxième et le troisième
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exemple).
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Quand une boîte est destinée à contenir une formule, on doit insérer une
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boîte supplémentaire, comme avec
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\series bold
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\backslash
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fbox
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\series default
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.
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Ceci s'applique aussi à la commande
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\series bold
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\backslash
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fcolorbox
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\series default
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.
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D'où la note
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2008-03-29 04:25:35 +00:00
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\begin_inset CommandInset href
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LatexCommand href
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|
name "LyX-bug #1435"
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target "http://bugzilla.lyx.org/show_bug.cgi?id=1435"
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2008-02-12 22:22:36 +00:00
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\end_inset
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.
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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On peut choisir une des couleurs prédéfinies suivantes:
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\end_layout
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\begin_layout Standard
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\series bold
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black
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\series default
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(noir),
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\series bold
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blue
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\series default
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(bleu),
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\series bold
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cyan
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\series default
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,
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\series bold
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green
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\series default
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(vert),
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\series bold
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magenta
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\series default
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,
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\series bold
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red
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\series default
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(rouge),
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\series bold
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white
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\series default
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(blanc), et
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\series bold
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yellow (jaune)
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\end_layout
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\begin_layout Standard
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\align center
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\begin_inset Tabular
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<lyxtabular version="3" rows="4" columns="2">
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<features>
|
2008-03-28 01:54:17 +00:00
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Commande
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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|
\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
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|
|
\begin_inset Note Note
|
|
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|
|
status collapsed
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2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\series bold
|
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\backslash
|
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|
raisebox est seulement utilisée pour faire de la place
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\end_layout
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\end_inset
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\end_layout
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\end_inset
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|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
colorbox{yellow
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
{A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{6mm}{}\colorbox{yellow}{A=B}\raisebox{-3mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
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|
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|
|
\end_layout
|
|
|
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|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
colorbox{green
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
\backslash
|
|
|
|
|
|
{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fbox
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{6mm}{}\colorbox{green}{\fbox{A=B}}\raisebox{-3mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fbox
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
colorbox{green
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
{A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{6mm}{}\fbox{\colorbox{green}{A=B}}\raisebox{-3mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
colorbox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
colorie uniquement la boîte, pas les caractères qui se trouvent dedans.
|
|
|
|
|
|
Pour colorer tous les caractères, on sélectionne toute la formule et on
|
|
|
|
|
|
choisit la couleur voulue avec la fenêtre de dialogue
|
|
|
|
|
|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Style
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
texte
|
|
|
|
|
|
\family default
|
|
|
|
|
|
.
|
|
|
|
|
|
Cette fenêtre de dialogue peut être appelée avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/dialog-show_character.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils, ou avec le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Éditer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Style
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
texte\SpecialChar \menuseparator
|
|
|
|
|
|
Personnalisé
|
|
|
|
|
|
\family default
|
|
|
|
|
|
.
|
|
|
|
|
|
Le numéro de la formule prendra la même couleur que la formule.
|
|
|
|
|
|
Si le numéro doit avoir une couleur différente de celle des caractères
|
|
|
|
|
|
de la formule, la couleur doit être changée à l'intérieur de la formule.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Un exemple:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\color red
|
|
|
|
|
|
\begin_inset Formula \begin{equation}
|
|
|
|
|
|
\int A=B\label{eq:rouge}\end{equation}
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\color green
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula \begin{equation}
|
|
|
|
|
|
\textcolor{red}{\int A=B}\label{eq:rougevert}\end{equation}
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La formule
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:rouge"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
est complètement colorée en rouge.
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
La formule
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:rougevert"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
a d'abord été complètement colorée en vert pour mettre le numéro en vert.
|
|
|
|
|
|
Ensuite, les caractères de la formule ont été colorés en rouge.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace bigskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Pour colorer le cadre d'une couleur différente du reste de la boîte, on
|
|
|
|
|
|
utilise la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fcolorbox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! F !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fcolorbox
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
avec la syntaxe suivante:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fcolorbox{couleur du cadre}{couleur}{contenu de la boîte}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Donc
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fcolorbox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
est une extension de la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
colorbox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
L'épaisseur du cadre est déterminée comme avec
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
framebox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, avec
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fboxrule
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fboxsep
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
Un exemple:
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fboxrule 1mm
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fboxsep 1mm
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\fcolorbox{cyan}{magenta}{A=B}\]
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
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\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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fboxrule 0.4pt
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\backslash
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fboxsep 3pt
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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Cette formule a été créée avec la commande
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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fcolorbox{cyan
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\begin_inset Formula $\to$
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\end_inset
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\backslash
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{magenta
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\begin_inset Formula $\to$
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\end_inset
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\backslash
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{A=B
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\series default
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.
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace bigskip
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\end_inset
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Si on veut utiliser d'autres couleurs que celles qui sont prédéfinies, il
|
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faut d'abord les définir.
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\end_layout
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\begin_layout Standard
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On peut par exemple définir la couleur
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\begin_inset Quotes eld
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\end_inset
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vertfonce
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\begin_inset Quotes erd
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\end_inset
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avec la ligne suivante dans le préambule LaTeX:
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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definecolor{vertfonce}{cmyk}{0.5,
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\series default
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\series bold
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0,
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\series default
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\series bold
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1,
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\series default
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\series bold
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0.5}
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\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
|
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status collapsed
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\begin_layout Plain Layout
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|
Commandes ! D !
|
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\backslash
|
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definecolor
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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|
\begin_layout Standard
|
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\series bold
|
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|
cmyk
|
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|
\series default
|
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|
est l'espace colorimétrique basé sur les couleurs
|
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|
|
\series bold
|
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|
cyan
|
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|
\series default
|
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,
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\series bold
|
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|
magenta
|
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|
\series default
|
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|
, jaune
|
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\series bold
|
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(yellow
|
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|
\series default
|
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|
), et noir
|
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\series bold
|
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(black
|
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|
\series default
|
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).
|
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|
|
Les quatre nombres séparés par des virgules sont les proportions des couleurs
|
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|
|
correspondantes dans l'espace colorimétrique.
|
|
|
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|
Ces facteurs prennent des valeurs entre 0 et 1.
|
|
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|
|
À la place de
|
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|
\series bold
|
|
|
|
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|
cmyk
|
|
|
|
|
|
\series default
|
|
|
|
|
|
on peut aussi utiliser l'espace
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
rgb
|
|
|
|
|
|
\series default
|
|
|
|
|
|
basé sur les couleurs rouge (
|
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|
|
\series bold
|
|
|
|
|
|
red
|
|
|
|
|
|
\series default
|
|
|
|
|
|
), vert (
|
|
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|
|
\series bold
|
|
|
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|
|
green
|
|
|
|
|
|
\series default
|
|
|
|
|
|
) et bleu (
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
blue
|
|
|
|
|
|
\series default
|
|
|
|
|
|
).
|
|
|
|
|
|
On a dans ce cas trois facteurs qui donnent les proportions de ces trois
|
|
|
|
|
|
couleurs.
|
|
|
|
|
|
Il y a aussi l'espace de couleur
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
gray
|
|
|
|
|
|
\series default
|
|
|
|
|
|
(dégradé de gris) avec un facteur donnant la proportion de gris.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Comme exemple, une boîte encadrée avec la couleur
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
vertfonce
|
|
|
|
|
|
\series default
|
|
|
|
|
|
que l'on vient de définir et des caractères colorés en jaune (
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
yellow
|
|
|
|
|
|
\series default
|
|
|
|
|
|
):
|
|
|
|
|
|
\begin_inset Formula \begin{equation}
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\colorbox{vertfonce}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}\end{equation}
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On peut aussi utiliser ces couleurs personnalisées avec du texte à l'aide
|
|
|
|
|
|
de la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
textcolor
|
|
|
|
|
|
\series default
|
|
|
|
|
|
:
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Texte ! coloré
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
textcolor{vertfonce}{
|
|
|
|
|
|
\end_layout
|
|
|
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|
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|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
cette phrase est en
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
vertfonce
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
|
|
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|
|
|
\end_layout
|
|
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|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
textcolor
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! T !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
textcolor
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
utilise la syntaxe
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
textcolor{couleur}{caractères à colorer}
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Boîtes de paragraphe
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Boîtes-de-paragraphes"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Boîtes ! comme paragraphe
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On peut créer une boîte qui peut contenir plusieurs lignes, voir des paragraphes
|
|
|
|
|
|
entiers, c'est ce que l'on nomme une boîte de paragraphe (parbox en anglais).
|
|
|
|
|
|
On la crée avec le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Insérer\SpecialChar \menuseparator
|
|
|
|
|
|
Boîte
|
|
|
|
|
|
\family default
|
|
|
|
|
|
ou le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/box-insert.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
L'exemple qui suit montre une boîte de paragraphe encadrée incluse dans
|
|
|
|
|
|
une ligne:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Ceci est une ligne
|
|
|
|
|
|
\begin_inset Box Boxed
|
|
|
|
|
|
position "c"
|
|
|
|
|
|
hor_pos "c"
|
|
|
|
|
|
has_inner_box 1
|
|
|
|
|
|
inner_pos "t"
|
|
|
|
|
|
use_parbox 1
|
|
|
|
|
|
width "5cm"
|
|
|
|
|
|
special "none"
|
|
|
|
|
|
height "1in"
|
|
|
|
|
|
height_special "totalheight"
|
|
|
|
|
|
status open
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Ceci est une boîte de paragraphe.
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Elle a exactement 5
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
cm de large et peut aussi contenir des formules:
|
|
|
|
|
|
\begin_inset Formula $\int A\,\mathrm{d}s=C$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
avec une boîte de paragraphe.
|
|
|
|
|
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace medskip
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\end_inset
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\end_layout
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\begin_layout Standard
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Une telle boîte est créée en faisant un clic droit sur la boîte d'insert
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grise.
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Une fenêtre de dialogue apparaît montrant les propriétés de la boîte.
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Dans notre cas, on met:
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\emph on
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Décoration:
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\emph default
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Boîte rectangulaire,
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\emph on
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Boîte intérieure:
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\emph default
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Parbox,
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\emph on
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Largeur
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\emph default
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2008-03-28 01:54:17 +00:00
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: 5
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2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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cm,
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\emph on
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Alignement vertical boîte
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\emph default
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: milieu
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace medskip
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\end_inset
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Dans LaTeX, une boîte de paragraphe est créée avec la commande
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\series bold
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\backslash
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parbox
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! P !
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\backslash
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parbox
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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qui a la syntaxe suivante:
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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parbox[position]{largeur}{contenu de la boîte}
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\end_layout
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\begin_layout Standard
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Les positions
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\emph on
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b
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\emph default
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et
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\emph on
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t
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\emph default
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sont possibles.
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\emph on
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b
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\emph default
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pour bas (bottom) signifie que la boîte est alignée au sein du texte qui
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l'entoure, au niveau de sa dernière ligne.
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Avec
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\emph on
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t
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\emph default
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pour haut (top) l'alignement se fait avec la première ligne.
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Si aucune position n'est précisée, la boîte est centrée verticalement,
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voir la section
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\emph on
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Boîtes
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\emph default
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du manuel
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\emph on
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Objets insérés
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\emph default
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pour des exemples.
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace bigskip
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\end_inset
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Pour encadrer une formule complètement, y compris le numéro de la formule,
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il faut la placer dans une boîte de paragraphe.
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Pour le faire, on insère la commande
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\series bold
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\backslash
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fbox{
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\backslash
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parbox{
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\backslash
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linewidth-2
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\backslash
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fboxsep-2
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\backslash
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fboxrule}{
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\series default
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en mode TeX avant la formule.
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Dans cette commande
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\series bold
|
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\backslash
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linewidth
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! L !
|
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\backslash
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linewidth
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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\series default
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est l'épaisseur de ligne qui est active pour tout le document.
|
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Puisque le cadre se trouve à l'extérieur de la boîte de paragraphe, on
|
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|
doit soustraire de l'épaisseur de ligne deux fois la séparation du cadre
|
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|
et l'épaisseur du cadre.
|
|
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|
|
Comme cela n'est pas fait automatiquement par LyX, à cause d'un bug
|
|
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|
\begin_inset Foot
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\begin_inset CommandInset href
|
|
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|
|
|
LatexCommand href
|
|
|
|
|
|
name "LyX-bug #4483"
|
|
|
|
|
|
target "http://bugzilla.lyx.org/show_bug.cgi?id=4483"
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
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\end_layout
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\end_inset
|
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|
, on doit utiliser le mode TeX.
|
|
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|
|
|
Pour pouvoir effectuer des multiplications et des additions dans les arguments,
|
|
|
|
|
|
on doit charger le paquetage LaTeX
|
|
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|
|
|
\series bold
|
|
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|
calc
|
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|
\series default
|
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|
\begin_inset Foot
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
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|
|
\series bold
|
|
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|
calc
|
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|
\series default
|
|
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|
fait partie de toutes les installations standard de LaTeX.
|
|
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|
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|
\end_layout
|
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|
\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
|
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|
status collapsed
|
|
|
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|
\begin_layout Plain Layout
|
|
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|
Paquetages ! calc
|
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
dans le préambule LaTeX avec la ligne
|
|
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|
|
\end_layout
|
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|
\begin_layout Standard
|
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|
\series bold
|
|
|
|
|
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|
\backslash
|
|
|
|
|
|
usepackage{calc}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Après la formule, les deux boîtes sont refermées en entrant
|
|
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|
|
|
\series bold
|
|
|
|
|
|
}}
|
|
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|
|
|
\series default
|
|
|
|
|
|
en mode TeX.
|
|
|
|
|
|
Voici un exemple:
|
|
|
|
|
|
\begin_inset ERT
|
|
|
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|
|
status collapsed
|
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
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|
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|
\backslash
|
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|
|
fboxsep 5mm
|
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|
|
\backslash
|
|
|
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|
|
fboxrule 5mm
|
|
|
|
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|
\end_layout
|
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|
\end_inset
|
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|
\end_layout
|
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|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
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|
|
|
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|
\backslash
|
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|
fbox{
|
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|
\backslash
|
|
|
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|
parbox{
|
|
|
|
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|
\backslash
|
|
|
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|
|
linewidth-2
|
|
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|
|
\backslash
|
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|
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|
fboxsep-2
|
|
|
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|
\backslash
|
|
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|
fboxrule}{
|
|
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|
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|
\end_layout
|
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|
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|
\end_inset
|
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|
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|
|
|
\begin_inset Formula \begin{equation}
|
|
|
|
|
|
\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}\end{equation}
|
|
|
|
|
|
|
|
|
|
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|
\end_inset
|
|
|
|
|
|
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|
\begin_inset ERT
|
|
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|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
}}
|
|
|
|
|
|
\end_layout
|
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|
\end_inset
|
|
|
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|
\begin_inset ERT
|
|
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|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fboxrule 0.4pt
|
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|
\backslash
|
|
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|
|
|
fboxsep 3pt
|
|
|
|
|
|
\end_layout
|
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|
|
\end_inset
|
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|
\end_layout
|
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|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Comme on utilise une boîte de paragraphe comme argument de
|
|
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|
|
|
\series bold
|
|
|
|
|
|
|
|
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|
|
\backslash
|
|
|
|
|
|
fbox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, il n'y a dans ce cas pas de différence entre
|
|
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|
|
|
\series bold
|
|
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|
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|
|
|
|
|
\backslash
|
|
|
|
|
|
fbox
|
|
|
|
|
|
\series default
|
|
|
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|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
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|
boxed
|
|
|
|
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|
\series default
|
|
|
|
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|
.
|
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|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace bigskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Les boîtes de paragraphes sont très utiles pour commenter directement des
|
|
|
|
|
|
formules.
|
|
|
|
|
|
Pour faire cela, on utilise la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
parbox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
en combinaison avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
tag
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
plus au sujet de la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
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\backslash
|
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tag
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\series default
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, voir
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
|
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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reference "sub:Numérotation-personnalisée"
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\end_inset
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.
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\end_layout
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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Un exemple de formule commentée avec
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\series bold
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\backslash
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parbox
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\series default
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:
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\end_layout
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\begin_layout Standard
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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[5x-7b=3b
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\backslash
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tag*{
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\backslash
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parbox{5cm}{
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\end_layout
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\end_inset
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Ceci est une description.
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Elle est clairement séparée de la formule et est multi-ligne.
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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}}
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\backslash
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]
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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Une telle formule doit être complètement insérée en mode TeX, parce que
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LyX ne supporte pas encore la commande
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\series bold
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\backslash
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parbox
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\series default
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dans les formules.
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On crée la formule avec la suite de commandes suivante:
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\end_layout
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\begin_layout Standard
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On insère la commande
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\series bold
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\backslash
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[5x-7b=3b
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\backslash
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tag*
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\backslash
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{
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\backslash
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parbox{5cm}{
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\series default
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en mode TeX.
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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|
Quand on utilise le style de formule
|
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\series bold
|
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Indenté
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\series default
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, on peut aussi remplacer
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\series bold
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\backslash
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tag*
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\backslash
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{
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\series default
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par
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\series bold
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\backslash
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hfill
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\series default
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.
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|
(pour les styles de formules, voir
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sec:Styles-de-formules"
|
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|
\end_inset
|
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).
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\end_layout
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|
\end_inset
|
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|
Ensuite la description suit en texte normal et enfin on insère
|
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|
\series bold
|
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|
}}
|
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|
\backslash
|
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|
]
|
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|
\series default
|
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|
en mode TeX.
|
|
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|
Dans ces commandes,
|
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|
\series bold
|
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\backslash
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[
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|
\series default
|
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|
et
|
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|
\series bold
|
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\backslash
|
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|
]
|
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|
\series default
|
|
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|
créent une formule hors ligne.
|
|
|
|
|
|
\end_layout
|
|
|
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|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On peut voir les avantages de
|
|
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|
|
\series bold
|
|
|
|
|
|
|
|
|
|
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|
\backslash
|
|
|
|
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|
parbox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
dans cet exemple qui a été commenté en utilisant du texte mathématique:
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
5x-7b=3b\textrm{Ceci est une description. Elle n'est pas séparée de la formule ...}\]
|
|
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|
|
\end_inset
|
|
|
|
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|
\end_layout
|
|
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|
|
|
|
|
\begin_layout Section
|
|
|
|
|
|
Opérateurs
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Opérateurs
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Grands Opérateurs
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Grands-opérateurs"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Opérateurs ! grands
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Sommes
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Intégrales
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour pouvoir utiliser tous les opérateurs intégraux listés ici, on doit
|
|
|
|
|
|
activer l'option
|
|
|
|
|
|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Utiliser
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
automatiquement le paquetage
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
esint
|
|
|
|
|
|
\family default
|
|
|
|
|
|
dans les
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Options du mode math.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\lang french
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="11" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sum
|
|
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! S !
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\backslash
|
|
|
|
|
|
sum
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\sum$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
int
|
|
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! I !
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\backslash
|
|
|
|
|
|
int
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\int$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
intop
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\intop$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
oint
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\oint$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ointop
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\ointop$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ointctrclockwise
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\ointctrclockwise$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ointclockwise
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\ointclockwise$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sqint
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\sqint$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigcap
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigcap$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigcup
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigcup$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="10" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
prod
|
|
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! P !
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\backslash
|
|
|
|
|
|
prod
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\prod$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
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|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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coprod
|
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
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|
|
\begin_inset Text
|
|
|
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|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\begin_inset Formula $\coprod$
|
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|
\end_inset
|
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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bigodot
|
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $\bigodot$
|
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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bigotimes
|
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\end_layout
|
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|
\end_inset
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</cell>
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $\bigotimes$
|
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|
\end_inset
|
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\end_layout
|
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\end_inset
|
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|
</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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bigoplus
|
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|
\end_layout
|
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|
|
\end_inset
|
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|
</cell>
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigoplus$
|
|
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|
|
\end_inset
|
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|
|
\end_layout
|
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|
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|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigwedge
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigwedge$
|
|
|
|
|
|
\end_inset
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
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|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigvee
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigvee$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigsqcup
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigsqcup$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
biguplus
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\biguplus$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Tous les grands opérateurs peuvent aussi être insérés en utilisant le bouton
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/intop.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils mathématique.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On nomme ces opérateurs
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
grands
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
parce qu'ils sont plus grands que les opérateurs binaires qui leur ressemblent
|
|
|
|
|
|
parfois.
|
|
|
|
|
|
Tous les grands opérateur peuvent avoir des limites comme c'est décrit
|
|
|
|
|
|
dans la section qui suit.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les opérateurs
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
intop
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ointop
|
|
|
|
|
|
\series default
|
|
|
|
|
|
sont différents de respectivement
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
int
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
oint
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, dans la manière dont sont affichés les limites, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Limites-des-opérateurs"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsubsection*
|
|
|
|
|
|
Conseils pour les intégrales
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La lettre
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
d
|
|
|
|
|
|
\emph default
|
|
|
|
|
|
dans une intégrale est un opérateur, elle doit donc être en lettres droites.
|
|
|
|
|
|
On le fait en sélectionnant le
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
d
|
|
|
|
|
|
\emph default
|
|
|
|
|
|
et en utilisant le raccourci clavier
|
|
|
|
|
|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Alt-c
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
r
|
|
|
|
|
|
\family default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Pour les styles de polices, voir
|
2008-03-28 01:54:17 +00:00
|
|
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\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
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reference "sub:Styles-de-polices"
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\end_inset
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\end_layout
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\end_inset
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.
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Pour finir, on insère une espace fine avant le
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\emph on
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d
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\emph default
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puisque c'est l'habitude avec les opérateurs.
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Un exemple:
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\end_layout
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\begin_layout Standard
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incorrect:
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\begin_inset Formula $\int A(x)dx$
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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hphantom{in}
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\end_layout
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\end_inset
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correct:
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|
\begin_inset Formula $\int A(x)\,\mathrm{d}x$
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour les intégrales multiples, il y a les commandes suivantes:
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\begin_inset VSpace medskip
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\end_inset
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\end_layout
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\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
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\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
2008-02-12 22:22:36 +00:00
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\begin_inset Tabular
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<lyxtabular version="3" rows="4" columns="2">
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<features>
|
2008-03-28 01:54:17 +00:00
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Commande
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\end_layout
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\end_inset
|
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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Résultat
|
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|
\begin_inset Note Note
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\series bold
|
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\backslash
|
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|
raisebox est seulement utilisée pour faire de la place
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\end_layout
|
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\end_inset
|
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\end_layout
|
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\end_inset
|
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|
|
</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
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|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\backslash
|
|
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|
iint
|
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|
\end_layout
|
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|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\iint\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
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|
|
\end_layout
|
|
|
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|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
oiint
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\oiint\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
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|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sqiint
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\sqiint\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="4" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
iiint
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\iiint\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
iiiint
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\iiiint\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dotsint
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\dotsint\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
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\begin_inset space \hfill{}
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\end_layout
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\begin_layout Subsection
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Limites des opérateurs
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
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name "sub:Limites-des-opérateurs"
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\begin_layout Plain Layout
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Opérateurs ! Limites
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\begin_layout Standard
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Les limites sont créées avec les indices et les exposants:
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<lyxtabular version="3" rows="2" columns="2">
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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raisebox est seulement utilisée pour faire de la place
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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A(x)
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{5mm}{}\prod_{0}^{\infty}A(x)\raisebox{-2.5mm}{}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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</lyxtabular>
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\end_inset
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\begin_layout Standard
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Pour les formules en lignes, les limites sont placées juste après l'opérateur.
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Pour les formules hors ligne, les limites sont placées au dessus ou en
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dessous de l'opérateur, sauf pour les limites des intégrales.
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\end_layout
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\begin_layout Standard
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Pour forcer les limites à être après l'opérateur, on place le curseur juste
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après l'opérateur et on change le type de limite avec le menu
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\family sans
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Éditer\SpecialChar \menuseparator
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Math\SpecialChar \menuseparator
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2008-03-28 01:54:17 +00:00
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Changer
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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le
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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type
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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de
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2008-06-04 22:36:44 +00:00
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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limites
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\family default
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pour
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\family sans
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2008-03-28 01:54:17 +00:00
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En
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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ligne
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\family default
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(raccourci
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\family sans
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2008-03-28 01:54:17 +00:00
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Alt-m
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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).
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Un exemple:
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\end_layout
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\begin_layout Standard
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Par défaut les limites ont ce type:
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\begin_inset Formula \[
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\sum_{x=0}^{\infty}\frac{1}{x^{2}}\]
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Voici à quoi elles ressemblent si on change le type des limites à
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\family sans
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2008-03-28 01:54:17 +00:00
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En
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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ligne
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:
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\begin_inset Formula \[
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\sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}\]
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Pour les intégrales, à part pour
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intop
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, les limites sont placées par défaut après l'opérateur.
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Mais pour les intégrales multiples les limites sont souvent placées sous
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l'opérateur.
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Dans l'exemple suivant, le type de limites a donc été mis à
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\series bold
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2008-03-28 01:54:17 +00:00
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Hors
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2008-06-04 22:36:44 +00:00
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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ligne
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\series default
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et elles sont donc placées sous les intégrales:
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\begin_inset Formula \begin{equation}
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\iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}\end{equation}
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\begin_layout Standard
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\begin_inset VSpace medskip
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Pour préciser des conditions pour les limites, on utilise les commandes
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\series bold
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subarray
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2008-03-28 01:54:17 +00:00
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status collapsed
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\begin_layout Plain Layout
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Commandes ! S !
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\backslash
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subarray
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2008-02-12 22:22:36 +00:00
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et
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! S !
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\backslash
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substack
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2008-02-12 22:22:36 +00:00
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.
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Par exemple, pour obtenir cette expression
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\begin_inset Formula \begin{equation}
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\sum_{\begin{subarray}{c}
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0<k<1000\\
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\\k\,\in\,\mathbb{N}\end{subarray}}^{n}k^{-2}\label{eq:substack}\end{equation}
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\begin_layout Standard
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on doit faire ceci:
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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D'abord taper la commande
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\series bold
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sum
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^
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n
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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_
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\series default
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.
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|
On se trouve alors dans une boîte bleue sous l'opérateur de sommation et
|
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|
on y insère la commande
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\series bold
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\backslash
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subarray
|
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|
\begin_inset ERT
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\series default
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.
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|
La boîte bleue se trouve maintenant dans une boîte violette et on peut
|
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|
écrire plusieurs lignes les unes au dessus des autres.
|
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On crée une nouvelle ligne en insérant un saut de ligne (
|
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|
\family sans
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Ctrl-Entrée
|
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\family default
|
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).
|
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|
Maintenant, quand on tape
|
2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
|
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\end_inset
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|
2008-02-12 22:22:36 +00:00
|
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\series bold
|
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|
0<k<1000 Ctrl-Entrée
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Newline newline
|
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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\series default
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une nouvelle boîte apparaît en dessous pour une nouvelle ligne.
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\end_layout
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\begin_layout Standard
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L'alignement des lignes peut être modifié en alignement à gauche avec la
|
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barre d'outils
|
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|
\family sans
|
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Tableaux
|
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\family default
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|
ou avec le menu
|
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\family sans
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|
Éditer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
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|
Lignes
|
2008-06-04 22:36:44 +00:00
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
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&
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
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colonnes
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|
\family default
|
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.
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|
Pour avoir un alignement à droite, on insère un
|
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|
\series bold
|
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\backslash
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hfill
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\begin_inset ERT
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
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spce
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\end_layout
|
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\end_inset
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\series default
|
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|
au début de la ligne.
|
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|
\end_layout
|
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|
\begin_layout Standard
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|
La commande
|
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|
\series bold
|
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\backslash
|
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substack
|
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|
\series default
|
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|
est équivalente à
|
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|
\series bold
|
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|
\backslash
|
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|
subarray
|
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|
\series default
|
|
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|
avec la différence que les lignes sont toujours centrées.
|
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
\begin_inset VSpace bigskip
|
|
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|
\end_inset
|
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|
Comme dans le cas de la formule
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:substack"
|
|
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|
|
\end_inset
|
|
|
|
|
|
|
|
|
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|
|
, il se peut qu'il y ait trop d'espace après un opérateur, puisque les caractère
|
|
|
|
|
|
s qui suivent l'opérateur se trouvent après la limite.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour éviter cela, on peut utiliser la macro suivante dans le préambule LaTeX:
|
|
|
|
|
|
\end_layout
|
|
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|
\begin_layout Standard
|
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|
\series bold
|
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|
|
\backslash
|
|
|
|
|
|
def
|
|
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|
|
\backslash
|
|
|
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|
|
clap#1{
|
|
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|
|
\backslash
|
|
|
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|
|
hbox to 0pt{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hss #1
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hss}}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
def
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathclap {
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathpalette
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathclapinternal}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
def
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathclapinternal #1#2{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
clap{$
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathsurround =0pt #1{#2}$}}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Elle définit la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathclap
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! M !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathclap
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
qui met la largeur de la limite à 0
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
pt.
|
|
|
|
|
|
La syntaxe de la commande est:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathclap{limite}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
où la limite peut être composée de plusieurs conditions.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Appliqué à la formule
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:substack"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, on utilise la commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sum_
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathclap{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
substack
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
0<k<1000 Ctrl-Enter
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
pour créer la limite inférieure.
|
|
|
|
|
|
L'opérande est maintenant juste après l'opérateur de sommation:
|
|
|
|
|
|
\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\sum_{\mathclap{\substack{0<k<1000\\
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\\k\,\in\,\mathbb{N}}
|
|
|
|
|
|
}}^{n}k^{-2}\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace bigskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
On décrit comment utiliser une limite pour plusieurs opérateurs dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Opérateurs-personnalisés"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Opérateurs binaires
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Opérateurs-binaires"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Opérateurs ! binaires
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les opérateurs binaires sont entourés d'espaces quand il y a un caractère
|
|
|
|
|
|
avant et après eux.
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\lang french
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="13" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
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|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
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|
\end_layout
|
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|
\end_inset
|
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|
|
\end_layout
|
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|
\end_inset
|
|
|
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|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
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|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
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|
\end_layout
|
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|
|
\end_inset
|
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|
</cell>
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
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|
|
|
\begin_inset Text
|
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|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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+
|
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|
\end_layout
|
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|
|
\end_inset
|
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|
</cell>
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
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|
|
\begin_inset Text
|
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|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $+$
|
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|
\end_inset
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\end_layout
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\end_inset
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|
</cell>
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
-
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|
\end_layout
|
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|
\end_inset
|
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|
|
</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
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|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $-$
|
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|
|
\end_inset
|
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|
\end_layout
|
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|
|
\end_inset
|
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|
|
</cell>
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
\backslash
|
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|
pm
|
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|
\end_layout
|
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|
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|
|
\end_inset
|
|
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|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\pm$
|
|
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|
|
|
\end_inset
|
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|
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|
|
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|
|
|
|
|
|
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|
|
\end_layout
|
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|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mp
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\mp$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cdot
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\cdot$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
times
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\times$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
div
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\div$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox{-1.2mm}{
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
*
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $*$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
star
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\star$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
circ
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\circ$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
diamond
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\diamond$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bullet
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bullet$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="13" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
nabla
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\nabla$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigtriangledown
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigtriangledown$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigtriangleup
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigtriangleup$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Box
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Box$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cap
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\cap$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cup
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\cup$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dagger
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\dagger$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ddagger
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\ddagger$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
wr
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\wr$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigcirc
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigcirc$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
wedge
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\wedge$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
vee
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\vee$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="13" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
oplus
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\oplus$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ominus
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\ominus$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
otimes
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\otimes$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
oslash
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\oslash$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
odot
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\odot$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
amalg
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\amalg$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
uplus
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\uplus$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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setminus
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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|
\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\setminus$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
|
2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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sqcap
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\sqcap$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
|
2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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sqcup
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\begin_inset Formula $\sqcup$
|
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\end_inset
|
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\end_layout
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\end_inset
|
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</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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triangleleft
|
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\end_layout
|
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\end_inset
|
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</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\triangleleft$
|
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|
\end_inset
|
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|
\end_layout
|
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\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
triangleright
|
|
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|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\triangleright$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
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|
|
\end_layout
|
|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
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|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Tous les opérateurs binaires peuvent être insérés avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/pm.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils mathématique.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour obtenir l'opérateur Laplacien, on peut utiliser
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Delta
|
|
|
|
|
|
\series default
|
|
|
|
|
|
ou
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
nabla
|
|
|
|
|
|
\series default
|
|
|
|
|
|
^
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
2
|
|
|
|
|
|
\series default
|
|
|
|
|
|
(
|
|
|
|
|
|
\begin_inset Formula $\nabla^{2}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
) à la place de
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigtriangleup
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Le caractère
|
|
|
|
|
|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Séparateur
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
menu
|
|
|
|
|
|
\family default
|
|
|
|
|
|
du menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Insérer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Caractères
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
spécial
|
|
|
|
|
|
\family default
|
|
|
|
|
|
est en fait l'opérateur
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
triangleright
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Opérateurs personnalisés
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Opérateurs-personnalisés"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Opérateurs ! personnalisés
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Avec l'aide de la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
DeclareMathOperator
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! D !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dbinom@
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
DeclareMathOperator
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, on peut définir des opérateurs personnalisés dans le préambule LaTeX.
|
|
|
|
|
|
La syntaxe de la commande est:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
DeclareMathOperator{nouvelle commande}{affichage}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
L'affichage peut être composé de caractères ou de symboles qui définissent
|
|
|
|
|
|
comment l'opérateur doit apparaître dans la sortie finale.
|
|
|
|
|
|
Pour définir un grand opérateur, on met une * après la commande.
|
|
|
|
|
|
Tous les grands opérateurs personnalisés peuvent avoir des limites comme
|
|
|
|
|
|
c'est décrit dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Limites-des-opérateurs"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Par exemple la ligne
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
DeclareMathOperator*{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Losange}{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
blacklozenge}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
dans le préambule LaTeX définit la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Losange
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, qui insère un grand opérateur qui consiste en un symbole losange venant
|
|
|
|
|
|
de
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Symboles-divers"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
:
|
|
|
|
|
|
\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\Losange_{n=1}^{\infty}\]
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
La commande utilisée pour cette formule est:
|
|
|
|
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\series bold
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\backslash
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Losange
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\series default
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^
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\series bold
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\backslash
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infty
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\begin_inset Formula $\to$
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\end_inset
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_n=1
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace bigskip
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\end_inset
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Quand un opérateur personnalisé n'est pas utilisé plusieurs fois dans le
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document, on peut aussi le définir avec les commandes
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\series bold
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\backslash
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mathop
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! M !
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\backslash
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mathop
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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et
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\series bold
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\backslash
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mathbin
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! M !
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\backslash
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mathbin
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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, qui ont les syntaxes suivantes:
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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mathop{affichage}
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\series default
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et
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\series bold
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\backslash
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mathbin{affichage}
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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mathop
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\series default
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définit des grands opérateurs et
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\series bold
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\backslash
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mathbin
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\series default
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des opérateurs binaires.
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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mathop
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\series default
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peut par exemple servir à mettre une limite à plusieurs opérateurs:
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\end_layout
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\begin_layout Standard
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\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
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|
\mathop{\sum\negmedspace\sum}_{i,j=1}^{N}\]
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
|
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La commande pour la formule précédente est:
|
2008-03-28 01:54:17 +00:00
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|
\begin_inset Newline newline
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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mathop{
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\backslash
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sum
|
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\backslash
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negmedspace
|
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\backslash
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sum
|
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\series default
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|
\begin_inset ERT
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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spce
|
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\end_layout
|
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|
\end_inset
|
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|
|
|
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|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
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|
|
|
|
|
|
|
^N
|
|
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|
|
\series default
|
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|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
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|
\backslash
|
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|
spce
|
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|
|
\end_layout
|
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|
\end_inset
|
|
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|
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|
|
\series bold
|
|
|
|
|
|
_i,j=1
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Section
|
|
|
|
|
|
Polices de caractères
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Polices de caractères
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
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|
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|
|
|
|
|
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|
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|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Fontes| see
|
|
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|
|
\begin_inset ERT
|
|
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|
|
status collapsed
|
|
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|
|
\begin_layout Plain Layout
|
|
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|
|
{
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
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|
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|
|
Polices de caractères
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Styles de polices
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Styles-de-polices"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Polices de caractères ! style
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Dans les formules on peut affecter aux lettres latines un des styles de
|
|
|
|
|
|
police suivant:
|
|
|
|
|
|
\begin_inset VSpace -2mm
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="6" columns="3">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Raccourci
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathbb
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
ABC
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\mathbb{ABC}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-26 23:32:51 +00:00
|
|
|
|
Alt-c c
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathbf
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
AbC
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\mathbf{AbC}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
-
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
boldsymbol
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
AbC
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\boldsymbol{AbC}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Alt-c b
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathcal
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
ABC
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\mathcal{ABC}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-26 23:32:51 +00:00
|
|
|
|
Alt-c e
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathfrak
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
AbC
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\mathfrak{AbC}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
-
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="5" columns="3">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Raccourci
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathit
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
AbC
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\mathit{AbC}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
-
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathrm
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
AbC
|
|
|
|
|
|
\end_layout
|
|
|
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\mathrm{AbC}$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-26 23:32:51 +00:00
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Alt-c r
|
2008-02-12 22:22:36 +00:00
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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<row>
|
2008-02-12 22:22:36 +00:00
|
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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mathsf
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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AbC
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\mathsf{AbC}$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-26 23:32:51 +00:00
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Alt-c s
|
2008-02-12 22:22:36 +00:00
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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mathtt
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\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
|
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\end_inset
|
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AbC
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\end_layout
|
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\end_inset
|
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $\mathtt{AbC}$
|
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|
\end_inset
|
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-26 23:32:51 +00:00
|
|
|
|
Alt-c p
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
</cell>
|
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|
</row>
|
|
|
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|
|
</lyxtabular>
|
|
|
|
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|
|
\end_inset
|
|
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|
\end_layout
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset Note Greyedout
|
|
|
|
|
|
status open
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
Note:
|
|
|
|
|
|
\series default
|
|
|
|
|
|
Les styles
|
|
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|
\series bold
|
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|
\backslash
|
|
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|
mathbb
|
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|
\series default
|
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|
|
et
|
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|
\series bold
|
|
|
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|
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|
\backslash
|
|
|
|
|
|
mathcal
|
|
|
|
|
|
\series default
|
|
|
|
|
|
ne peuvent être utilisés que pour les lettres majuscules.
|
|
|
|
|
|
\end_layout
|
|
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|
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|
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|
|
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|
|
\end_inset
|
|
|
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|
|
\end_layout
|
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
Le style prédéfini est
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
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|
mathnormal
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les commandes de style fonctionnent aussi pour des caractères dans des construct
|
|
|
|
|
|
ions mathématiques:
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\mathfrak{A=\frac{b}{C}}\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les caractères en texte mathématique n'apparaissent pas avec un style de
|
|
|
|
|
|
police mathématique mais avec le style de police texte
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
textrm
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
Le fait que l'on ne puisse pas changer leur style avec la fenêtre de dialogue
|
|
|
|
|
|
de style est un bug de LyX.
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\begin_inset CommandInset href
|
|
|
|
|
|
LatexCommand href
|
|
|
|
|
|
name "LyX-bug #4091"
|
|
|
|
|
|
target "http://bugzilla.lyx.org/show_bug.cgi?id=4091"
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
\end_layout
|
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|
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|
|
\end_inset
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
À la place des commandes de style, on peut utiliser le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Éditer\SpecialChar \menuseparator
|
|
|
|
|
|
Math\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Style
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Texte
|
|
|
|
|
|
\family default
|
|
|
|
|
|
ou le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/font.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils mathématique.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Formules en gras
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Formules-en-gras"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Formules ! en gras
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour mettre toute une formule en gras, on ne peut pas utiliser la commande
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mathbf
|
|
|
|
|
|
\series default
|
|
|
|
|
|
de la sous-section précédente, parce qu'elle ne marche pas avec les lettres
|
|
|
|
|
|
grecques minuscules.
|
|
|
|
|
|
En plus elle affiche toujours les lettres latines en caractères droits,
|
|
|
|
|
|
comme dans l'équation suivante:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{équation avec \textbackslash mathbf}\]
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour afficher cette formule correctement; on utilise la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
boldsymbol
|
|
|
|
|
|
\series default
|
|
|
|
|
|
:
|
|
|
|
|
|
\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{équation avec \textbackslash boldsymbol}}\]
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Il est aussi possible de mettre l'équation dans un environnement
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
boldmath
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
On crée cet environnement en insérant la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
boldmath
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! B !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
boldmath
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
|
|
|
|
|
en mode TeX.
|
|
|
|
|
|
Pour terminer l'environnement, on insère la commande
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Commandes ! U !
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2008-02-12 22:22:36 +00:00
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toujours en mode TeX.
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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\begin_inset Formula \[
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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Tailles de polices
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2008-03-28 01:54:17 +00:00
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LatexCommand label
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2008-02-12 22:22:36 +00:00
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name "sub:Tailles-polices"
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2008-03-28 01:54:17 +00:00
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status collapsed
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\begin_layout Plain Layout
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Polices ! tailles
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2008-02-12 22:22:36 +00:00
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\end_inset
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\begin_layout Standard
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Pour les caractères qui se trouvent dans des formules, il y a, comme pour
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les caractères qui sont dans le texte, les commandes de changement de taille
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suivantes:
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\end_layout
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\begin_layout Standard
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small
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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2008-02-12 22:22:36 +00:00
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footnotesize
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, et
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\series bold
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tiny
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Qui correspondent respectivement aux tailles Énorme, Très très grand, Très
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grand, Grand, Normal, Petit, Très petit, Tout petit et Minuscule (NdT).
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\end_layout
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\begin_layout Standard
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La taille des caractères produits par ces commandes dépend de la taille
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de police du document, qui correspond à la commande
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\series bold
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normalsize
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Les autres commandes produisent des tailles plus ou moins grandes que
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\series bold
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normalsize
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La taille de la police ne peut donc pas dépasser une certaine valeur.
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2008-03-28 01:54:17 +00:00
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Par exemple, pour un document dans une police de taille 12
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2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
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2008-03-28 01:54:17 +00:00
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pt, la commande
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2008-02-12 22:22:36 +00:00
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\series bold
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Huge
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\series default
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va donner la même taille que
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\series bold
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\begin_layout Standard
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Une commande de changement de taille est insérée en mode TeX avant la formule
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et fixe la taille de toutes les formules qui suivent ainsi que celle des
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caractères du texte.
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Pour revenir à la taille initiale, on doit insérer la commande
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\series bold
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normalsize
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\series default
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en mode TeX après la formule.
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\end_layout
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\begin_layout Standard
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À l'intérieur de la formule, on ne peut changer la taille que des caractères
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ou des symboles qui sont en mode texte mathématique.
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Pour le faire, on insère la commande de changement de taille en mode texte
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mathématique.
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Tous les caractères qui suivent jusqu'à la fin du texte mathématique ou
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jusqu'à ce que la taille soit de nouveau modifiée, auront la taille choisie.
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Deux exemples:
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\begin_inset VSpace -2mm
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\end_inset
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\begin_layout Standard
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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huge
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\begin_inset Formula \[
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A=\frac{B}{c}\cdot\maltese\]
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\begin_inset Formula \[
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2008-06-20 22:01:27 +00:00
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\maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}\]
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2008-02-12 22:22:36 +00:00
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status collapsed
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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normalsize
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Avant les deux formules, on a inséré la commande
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huge
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\series default
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.
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La commande utilisée pour la deuxième formule est:
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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maltese
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status collapsed
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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spce
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\end_inset
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A Alt-m m
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Large
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status collapsed
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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maltese
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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spce
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\end_inset
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\backslash
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textit
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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A
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\begin_inset Formula $\to$
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\end_inset
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\begin_inset Formula $\to$
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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2008-03-29 04:25:35 +00:00
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\series default
|
2008-02-12 22:22:36 +00:00
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|
2008-06-04 22:36:44 +00:00
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\begin_inset space \hspace*{}
|
2008-03-29 04:25:35 +00:00
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\length 1cm
|
2008-02-12 22:22:36 +00:00
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\end_inset
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2008-03-29 04:25:35 +00:00
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\series bold
|
2008-02-12 22:22:36 +00:00
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Alt-m
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\series default
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\series bold
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m
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\backslash
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tiny
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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maltese
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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textit
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A
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\end_layout
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\begin_layout Standard
|
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|
Si un symbole ne peut pas être affiché dans plusieurs tailles, il sera toujours
|
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affiché dans la taille par défaut
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\end_layout
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\begin_layout Section
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Les lettres grecques
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Lettres grecques
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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\end_layout
|
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|
\begin_layout Standard
|
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|
|
On peut insérer toutes les lettres grecques avec le bouton
|
|
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|
|
\begin_inset Graphics
|
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|
|
filename ../../images/math/alpha.png
|
|
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|
|
scale 85
|
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|
\end_inset
|
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|
de la barre d'outils mathématiques.
|
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|
\end_layout
|
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|
|
\begin_layout Subsection
|
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|
|
Lettres minuscules
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
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|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Minuscules"
|
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|
\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
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|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Lettres grecques ! minuscules
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
\end_inset
|
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|
|
|
|
\end_layout
|
|
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|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
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|
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|
|
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|
|
|
|
|
|
|
\lang french
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="11" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
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|
|
|
\backslash
|
|
|
|
|
|
alpha
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\alpha$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
beta
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\beta$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
\end_layout
|
|
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|
|
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|
|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
gamma
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\gamma$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
delta
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\delta$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
epsilon
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\epsilon$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varepsilon
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\varepsilon$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
zeta
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\zeta$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
eta
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\eta$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
theta
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\theta$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
vartheta
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\vartheta$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="12" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
iota
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\iota$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
kappa
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\kappa$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varkappa
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\varkappa$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lambda
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\lambda$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mu
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\mu$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
nu
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\nu$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
xi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\xi$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
o
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $o$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
pi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\pi$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varpi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\varpi$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
rho
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\rho$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="11" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varrho
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\varrho$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sigma
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\sigma$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varsigma
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\varsigma$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
tau
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\tau$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
upsilon
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\upsilon$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
phi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\phi$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varphi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\varphi$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
chi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\chi$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
psi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\psi$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
omega
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\omega$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On explique comment obtenir des lettres grecques droites dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:minuscules-grecques-droites"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Lettres majuscules
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Lettres grecques ! majuscules
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\lang french
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="7" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Gamma
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Gamma$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Delta
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Delta$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Theta
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Theta$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Lambda
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Lambda$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Xi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
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|
|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $\Xi$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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Pi
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\end_layout
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\end_inset
|
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\Pi$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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|
2008-06-04 22:36:44 +00:00
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\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
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|
2008-02-12 22:22:36 +00:00
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\begin_inset Tabular
|
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<lyxtabular version="3" rows="6" columns="2">
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<features>
|
2008-03-28 01:54:17 +00:00
|
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<column alignment="center" valignment="top" width="0pt">
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<column alignment="center" valignment="top" width="0pt">
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<row>
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Commande
|
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\end_layout
|
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\end_inset
|
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</cell>
|
2008-03-28 01:54:17 +00:00
|
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Résultat
|
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|
\end_layout
|
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|
\end_inset
|
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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Sigma
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\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
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|
\begin_inset Text
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Formula $\Sigma$
|
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|
\end_inset
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
|
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|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
\backslash
|
|
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|
Upsilon
|
|
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|
|
\end_layout
|
|
|
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|
|
\end_inset
|
|
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|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Upsilon$
|
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|
|
\end_inset
|
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|
\end_layout
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Phi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Phi$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Psi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Psi$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Omega
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Omega$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Le fait que les lettres grecques majuscules apparaissent droites provient
|
|
|
|
|
|
d'un défaut de conception quand TeX a été développé.
|
|
|
|
|
|
Pour obtenir des lettres majuscules italiques correctes, commencez chaque
|
|
|
|
|
|
commande par
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
var
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
Par exemple, la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varGamma
|
|
|
|
|
|
\series default
|
|
|
|
|
|
produit:
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\varGamma$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Lettres grasses
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Lettres grecques ! grasses
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les lettres grecques ne peuvent être mise dans différents styles de polices
|
|
|
|
|
|
comme les lettres latines.
|
|
|
|
|
|
Elles peuvent seulement être mises en gras avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
boldsymbol
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! B !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
boldsymbol
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="3" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
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|
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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Upsilon
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\backslash
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boldsymbol
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\backslash
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Upsilon
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\Upsilon\boldsymbol{\Upsilon}$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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theta
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\backslash
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boldsymbol
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\backslash
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theta
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\theta\boldsymbol{\theta}$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Section
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Symboles
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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texorpdfstring{
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\end_layout
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\end_inset
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Une liste avec tous les symboles de la plupart des paquetages LaTeX peut
|
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être trouvée dans
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset citation
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LatexCommand cite
|
2008-02-12 22:22:36 +00:00
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key "Symbole"
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\end_inset
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.
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\end_layout
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\end_inset
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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}{}
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\end_layout
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\end_inset
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\begin_inset Note Note
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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|
texorpdfstring est utilisée pour éviter que la note de bas de page n'apparaisse
|
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|
dans les signets PDF.
|
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|
\end_layout
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Plus au sujet de
|
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|
\backslash
|
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|
texorpdfstring dans la section
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset ref
|
|
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|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:formules-dans-les-entêtes"
|
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|
\end_inset
|
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.
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\end_layout
|
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|
\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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status collapsed
|
|
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|
\begin_layout Plain Layout
|
|
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|
Symboles
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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|
\end_layout
|
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|
\begin_layout Standard
|
|
|
|
|
|
Plusieurs symboles listés dans cette section peuvent aussi être insérés
|
|
|
|
|
|
grâce aux boutons
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/nabla.png
|
|
|
|
|
|
scale 85
|
|
|
|
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|
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|
|
\end_inset
|
|
|
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|
|
|
|
|
et
|
|
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|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/digamma.png
|
|
|
|
|
|
scale 85
|
|
|
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|
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|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils mathématique.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Symboles mathématiques
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Symboles-mathématiques"
|
|
|
|
|
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|
|
\end_inset
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
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|
|
|
status collapsed
|
|
|
|
|
|
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|
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|
\begin_layout Plain Layout
|
|
|
|
|
|
Symboles ! mathématiques
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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|
\end_layout
|
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|
\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="10" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
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|
<column alignment="center" valignment="top" width="0pt">
|
|
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|
<row>
|
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
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|
|
\end_layout
|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
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|
|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
neg
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
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|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\neg$
|
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|
\end_inset
|
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\end_layout
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
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|
\begin_inset Text
|
|
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|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
\backslash
|
|
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|
Im
|
|
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|
\end_layout
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Im$
|
|
|
|
|
|
\end_inset
|
|
|
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|
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|
\end_layout
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Re
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Re$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
\end_layout
|
|
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|
|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
aleph
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\aleph$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
partial
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\partial$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
infty
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\infty$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
wp
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\wp$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
imath
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\imath$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
jmath
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\jmath$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="10" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
forall
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\forall$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
exists
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\exists$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
nexists
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\nexists$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
emptyset
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\emptyset$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varnothing
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\varnothing$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dag
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\dag$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ddag
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\ddag$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
complement
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox{-0.8mm}{
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula $\complement$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Bbbk
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Bbbk$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="10" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
prime
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\prime$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
backprime
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\backprime$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mho
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\mho$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
triangle
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\triangle$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
angle
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\angle$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
measuredangle
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\measuredangle$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sphericalangle
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\sphericalangle$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
top
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\top$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bot
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bot$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newpage newpage
|
|
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Symboles divers
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Symboles-divers"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Symboles ! divers
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-02-26 23:32:51 +00:00
|
|
|
|
\noindent
|
|
|
|
|
|
\align center
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="10" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
flat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\flat$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
natural
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\natural$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sharp
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\sharp$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
surd
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\surd$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
checkmark
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\checkmark$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
yen
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\yen$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
pounds
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\pounds$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
$
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\$$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
§
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $§$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="10" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hbar
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\hbar$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hslash
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\hslash$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
clubsuit
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\clubsuit$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spadesuit
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\spadesuit$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bigstar
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bigstar$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
blacklozenge
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\blacklozenge$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
blacktriangle
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\blacktriangle$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
blacktiangledown
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\blacktriangledown$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bullet
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bullet$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="10" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
diamondsuit
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\diamondsuit$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Diamond
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\Diamond$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
heartsuit
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\heartsuit$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
P
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\P$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
copyright
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\copyright$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
circledR
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\circledR$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
maltese
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\maltese$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
diagup
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\diagup$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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|
\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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diagdown
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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|
\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\diagdown$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace medskip
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\end_inset
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|
D'autres symboles sont listés dans
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset ref
|
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|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
reference "sub:Caractères-spéciaux-divers"
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\end_inset
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.
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\end_layout
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|
\begin_layout Standard
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|
Certains symboles peuvent être affichés dans plusieurs tailles, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
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|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
|
reference "sub:Tailles-polices"
|
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\end_inset
|
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.
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\end_layout
|
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|
\begin_layout Subsection
|
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|
|
Le symbole de l'Euro €
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Symboles ! symbole de l'Euro
|
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|
\end_layout
|
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\end_inset
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
|
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|
|
\begin_layout Plain Layout
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
|
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|
|
\backslash
|
|
|
|
|
|
officialeuro
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
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|
|
|
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|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour utiliser le symbole de l'Euro dans une formule, il faut installer le
|
|
|
|
|
|
paquetage LaTeX
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
eurosym
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Paquetages ! eurosym
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
et le charger avec la ligne suivante dans le préambule LaTeX
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
usepackage[gennarrow]{eurosym}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Le symbole de l'Euro peut alors être inséré avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
euro
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! E !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
euro
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On peut aussi insérer le symbole de l'Euro directement en mode texte mathématiqu
|
|
|
|
|
|
e avec la touche €, sans avoir à installer le paquetage
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
eurosym
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
Quand
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
eurosym
|
|
|
|
|
|
\series default
|
|
|
|
|
|
est installé, on peut aussi insérer la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
euro
|
|
|
|
|
|
\series default
|
|
|
|
|
|
en mode TeX.
|
|
|
|
|
|
Le symbole monétaire officiel de l'Euro peut être inséré avec la commande
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
officialeuro
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! O !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
officialeuro
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
, qui n'est utilisable qu'en mode TeX.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ifeurosym
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status open
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Le tableau suivant ne sera affiché que si le paquetage LaTeX
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
eurosym
|
|
|
|
|
|
\series default
|
|
|
|
|
|
est installé.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Un aperçu des différents symboles de l'Euro:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="4" columns="3">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell multicolumn="1" alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
formule
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
euro
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\euro$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
texte mathématique
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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€
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\mbox{€}$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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mode TeX
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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officialeuro
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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officialeuro
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\end_layout
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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else
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\end_layout
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\end_inset
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\begin_inset Note Note
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status open
|
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Ce qui suit sera affiché si le paquetage LaTeX
|
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|
|
\series bold
|
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|
|
eurosym
|
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|
\series default
|
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|
|
n'est pas installé:
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\end_layout
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\end_inset
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\end_layout
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|
\begin_layout Standard
|
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|
|
Vous devez installer le paquetage LaTeX
|
|
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|
|
\series bold
|
|
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|
|
|
eurosym
|
|
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|
|
\series default
|
|
|
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|
|
pour voir le reste de cette section dans la sortie imprimée.
|
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|
|
\end_layout
|
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|
\begin_layout Standard
|
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|
\begin_inset ERT
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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|
fi
|
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\end_layout
|
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\end_inset
|
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|
\end_layout
|
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|
|
\begin_layout Section
|
|
|
|
|
|
Opérateurs de relation
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sec:Relations"
|
|
|
|
|
|
|
|
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|
\end_inset
|
|
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|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
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|
|
status collapsed
|
|
|
|
|
|
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|
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|
|
\begin_layout Plain Layout
|
|
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|
|
|
Relations
|
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|
|
\end_layout
|
|
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|
\end_inset
|
|
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|
|
\begin_inset Index
|
|
|
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|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Comparaisons|see
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
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|
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|
|
\begin_layout Plain Layout
|
|
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|
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|
|
{
|
|
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|
|
\end_layout
|
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|
\end_inset
|
|
|
|
|
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|
|
|
|
|
|
Relations
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Tous les opérateurs de relation peuvent aussi être insérés en passant par
|
|
|
|
|
|
le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/leq.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
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|
|
|
|
|
|
\lang french
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="17" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<
|
|
|
|
|
|
\end_layout
|
|
|
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|
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|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $<$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
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|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
le
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\le$
|
|
|
|
|
|
\end_inset
|
|
|
|
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|
|
|
|
|
|
|
|
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|
|
\end_layout
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ll
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\ll$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
prec
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\prec$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
preceq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\preceq$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
subset
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\subset$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
subseteq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\subseteq$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sqsubseteq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\sqsubseteq$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
in
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\in$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
vdash
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\vdash$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
smile
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\smile$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lhd
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\lhd$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
unlhd
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\unlhd$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
gtrless
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\gtrless$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
mid
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\mid$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
nmid
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\nmid$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="17" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
=
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $=$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
not=
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\not=$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
equiv
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\equiv$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sim
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\sim$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
simeq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\simeq$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
approx
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\approx$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cong
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\cong$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bowtie
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\bowtie$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
notin
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\notin$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
perp
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\perp$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
propto
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\propto$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
asymp
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\asymp$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
doteq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\doteq$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
circeq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\circeq$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
models
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\models$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
widehat=
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\widehat{=}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="17" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
>
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $>$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ge
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\ge$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
gg
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\gg$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
succ
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\succ$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
succeq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\succeq$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
supset
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\supset$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
supseteq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\supseteq$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sqsupseteq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\sqsupseteq$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ni
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\ni$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dashv
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\dashv$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
frown
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\frown$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
rhd
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\rhd$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
unrhd
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\unrhd$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lessgtr
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\lessgtr$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
parallel
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\parallel$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
nparallel
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $\nparallel$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\lang english
|
|
|
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|
2008-06-04 22:36:44 +00:00
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|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace medskip
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\end_inset
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Les caractères
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\series bold
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\backslash
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lhd
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\series default
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et
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\series bold
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\backslash
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rhd
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\series default
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sont plus gros que les opérateurs
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\series bold
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\backslash
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triangleleft
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\series default
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et
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\series bold
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\backslash
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triangleright
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\series default
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auxquels ils ressemblent.
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\end_layout
|
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\begin_layout Standard
|
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Les opérateurs de relation sont, contrairement aux symboles, toujours entourés
|
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par des espaces.
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\end_layout
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\begin_layout Standard
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Les opérateurs de relation avec des étiquettes peuvent être créés avec la
|
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commande
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\series bold
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\backslash
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stackrel
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! S !
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\backslash
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stackrel
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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:
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\end_layout
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\begin_layout Standard
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\align center
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\begin_inset Tabular
|
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|
<lyxtabular version="3" rows="2" columns="2">
|
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<features>
|
2008-03-28 01:54:17 +00:00
|
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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Commande
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Résultat
|
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|
\begin_inset Note Note
|
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status collapsed
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\series bold
|
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|
\backslash
|
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|
raisebox est seulement utilisée pour faire de la place
|
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|
\end_layout
|
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|
\end_inset
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A(r)
|
|
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|
|
|
\backslash
|
|
|
|
|
|
stackrel
|
|
|
|
|
|
\begin_inset ERT
|
|
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|
|
|
status collapsed
|
|
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|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
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|
\backslash
|
|
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|
spce
|
|
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|
\end_layout
|
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|
\end_inset
|
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|
r
|
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|
\backslash
|
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|
to
|
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|
\backslash
|
|
|
|
|
|
infty
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
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|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
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|
|
|
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|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula $\downarrow$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
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|
|
approx
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{5mm}{}A(r)\stackrel{r\to\infty}{\approx}B$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Section
|
|
|
|
|
|
Fonctions
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Fonctions prédéfinies
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Fonctions-prédéfinies"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Fonctions ! prédéfinies
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
En général, les variables sont écrites en
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
italiques
|
|
|
|
|
|
\emph default
|
|
|
|
|
|
dans les expressions mathématiques, mais pas les noms des fonctions, puisque
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula $sin$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
pourrait être confondue avec le produit
|
|
|
|
|
|
\begin_inset Formula $s\cdot i\cdot n$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
Il y a donc des fonctions prédéfinies qui sont en plus séparées de leurs
|
|
|
|
|
|
arguments par un peu d'espace.
|
|
|
|
|
|
Elles sont insérées comme des commandes commençant par une barre de fraction
|
|
|
|
|
|
inverse avant leur nom.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="2" columns="4">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Asin(x)+B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $Asin(x)+B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sin(x)+B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\sin(x)+B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
\end_layout
|
|
|
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|
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|
|
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
|
|
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|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
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|
|
2008-03-29 16:54:32 +00:00
|
|
|
|
\begin_inset Newpage pagebreak
|
2008-02-12 22:22:36 +00:00
|
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|
|
\end_inset
|
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|
|
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|
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|
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|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les fonctions suivantes sont prédéfinies:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace -2mm
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="9" columns="4">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sin
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sinh
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
arcsin
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
sup
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cos
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cosh
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
arccos
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
inf
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
tan
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
tanh
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
arctan
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lim
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cot
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
coth
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
arg
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
liminf
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
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sec
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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min
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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limsup
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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csc
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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max
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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det
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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Pr
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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ln
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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exp
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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dim
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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hom
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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lg
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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log
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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ker
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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gcd
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
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|
Elles peuvent aussi être insérées en utilisant le bouton
|
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|
\begin_inset Graphics
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|
filename ../../images/math/functions.png
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scale 85
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\end_inset
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de la barre d'outils mathématique.
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\end_layout
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\begin_layout Subsection
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Fonctions définies par l'utilisateur
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Fonctions ! définies par l'utilisateur
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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|
Pour utiliser une fonction qui n'est pas prédéfinie, comme par exemple la
|
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|
fonction sgn(x), il y a deux possibilités:
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\end_layout
|
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\begin_layout Itemize
|
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|
Définir la fonction en insérant la ligne suivante dans le préambule LaTeX
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|
\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Pour en savoir plus sur la commande
|
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|
\series bold
|
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\backslash
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DeclareMathOperator
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\series default
|
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|
voir
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset ref
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|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
reference "sub:Opérateurs-personnalisés"
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\end_inset
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.
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\begin_inset VSpace -3mm
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
|
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|
DeclareMathOperator{
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|
\backslash
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|
sgn}{sgn}
|
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\series default
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|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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|
\begin_layout Plain Layout
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|
Commandes ! D !
|
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|
\backslash
|
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|
|
dbinom@
|
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|
\backslash
|
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|
DeclareMathOperator
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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|
2008-03-28 01:54:17 +00:00
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|
\begin_inset Newline newline
|
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|
\end_inset
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|
2008-02-12 22:22:36 +00:00
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|
\begin_inset VSpace -2mm
|
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|
\end_inset
|
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|
2008-03-28 01:54:17 +00:00
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|
\begin_inset Newline newline
|
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|
\end_inset
|
|
|
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|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Maintenant la fonction qui vient d'être définie peut être appelée avec la
|
|
|
|
|
|
commande
|
|
|
|
|
|
\series bold
|
|
|
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|
|
|
|
\backslash
|
|
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|
|
sgn
|
|
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|
\series default
|
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|
.
|
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|
|
\end_layout
|
|
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|
\begin_layout Itemize
|
|
|
|
|
|
Écrire la formule comme d'habitude, marquer le nom de la fonction -- dans
|
|
|
|
|
|
notre exemple les lettres
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
sgn
|
|
|
|
|
|
\emph default
|
|
|
|
|
|
-- et les changer en texte mathématique.
|
|
|
|
|
|
Pour finir, on insère une espace entre le préfacteur et la fonction.
|
|
|
|
|
|
\end_layout
|
|
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|
|
\begin_layout Standard
|
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|
|
|
Le résultat avec les deux méthodes est le même qu'avec les fonctions prédéfinies
|
|
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|
\begin_inset Foot
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Dans LyX, les fonctions prédéfinies sont en noir, celles définies par l'utilisat
|
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|
|
|
|
eur en rouge.
|
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|
\end_layout
|
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|
\end_inset
|
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|
:
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|
\end_layout
|
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|
|
\begin_layout Standard
|
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|
|
\align center
|
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|
|
|
|
\begin_inset Tabular
|
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|
|
<lyxtabular version="3" rows="3" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
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|
<column alignment="center" valignment="top" width="0pt">
|
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|
|
<column alignment="center" valignment="top" width="0pt">
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Commande
|
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|
\end_layout
|
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|
\end_inset
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|
</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
Résultat
|
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|
\end_layout
|
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\end_inset
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</cell>
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
|
\begin_inset Text
|
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A
|
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|
|
\backslash
|
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|
sgn(x)+B
|
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|
\end_layout
|
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|
|
\end_inset
|
|
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|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $A\sgn(x)+B$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
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|
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|
|
\end_layout
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
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|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
A
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
,
|
|
|
|
|
|
\begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt-m}\,\textrm{m}}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
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|
|
(x)+B
|
|
|
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|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $A\,\textrm{sgn}(x)+B$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La première méthode est recommandée quand la fonction définie doit être
|
|
|
|
|
|
utilisée plusieurs fois dans le document.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Les limites
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Limites
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour les limites, en plus des commandes
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lim
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! L !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lim
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
,
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
liminf
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
limsup
|
|
|
|
|
|
\series default
|
|
|
|
|
|
on a aussi les fonctions suivantes:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="5" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varliminf
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\varliminf$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varlimsup
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\varlimsup$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varprojlim
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\varprojlim$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
varinjlim
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\varinjlim$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
La valeur de la limite est créée en ajoutant un indice.
|
|
|
|
|
|
Il est placé juste à la droite de la fonction dans le cas d'une formule
|
|
|
|
|
|
en ligne:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="2" columns="2">
|
|
|
|
|
|
<features>
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
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|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Commande
|
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|
\end_layout
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \hspace{}
|
2008-03-29 04:25:35 +00:00
|
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|
|
\length 1cm
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
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|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hspace
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
et
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox sont seulement utilisées pour faire de la place
|
|
|
|
|
|
\series default
|
|
|
|
|
|
\lang english
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
<row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lim_x
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
to
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
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|
|
|
\end_layout
|
|
|
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|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
x=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\hspace{1cm}\raisebox{5mm}{}\lim_{x\to A}x=B$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Dans une formule hors ligne la valeur de la limite est placée comme d'habitude,
|
|
|
|
|
|
en dessous de la fonction:
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\lim_{x\to A}x=B\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Les fonctions modulo-
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Fonctions ! modulo
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La fonction modulo est un peu spéciale, vu qu'il en existe quatre variantes.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les variantes pour une formule hors ligne:
|
|
|
|
|
|
\begin_inset Formula \begin{align*}
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\underline{\textrm{Commande}\raisebox{-0.9mm}{}} & & \underline{\textrm{Résultat}}\\
|
|
|
|
|
|
\mathrm{a\backslash mod\textrm{\spce}b} & & a\mod b\\
|
|
|
|
|
|
\mathrm{a\backslash pmod\textrm{\spce}b} & & a\pmod b\\
|
|
|
|
|
|
\mathrm{a\backslash bmod\textrm{\spce}b} & & a\bmod b\\
|
|
|
|
|
|
\mathrm{a\backslash pod\textrm{\spce}b} & & a\pod b\end{align*}
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Dans une formule en ligne, il y a moins d'espace inséré avant le nom de
|
|
|
|
|
|
la fonction, quelque soit la variante.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Section
|
|
|
|
|
|
Caractères spéciaux
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Caractères spéciaux
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Caractères spéciaux en texte mathématique
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les commandes suivantes ne peuvent être utilisées qu'en texte mathématique
|
|
|
|
|
|
ou en mode TeX:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="8" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="block" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="block" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
oe
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{œ}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
OE
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{Œ}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ae
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{æ}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
AE
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{Æ}$
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
aa
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{\aa}$
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
AA
|
|
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
@
|
|
|
|
|
|
\backslash
|
2008-07-10 23:08:38 +00:00
|
|
|
|
textrm{
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\backslash
|
2008-07-10 23:08:38 +00:00
|
|
|
|
AA}
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{Å}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
i
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{ı}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="8" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="block" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
commande
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hspace{0mm}
|
|
|
|
|
|
\series default
|
|
|
|
|
|
est utilisée pour faire une séparation invisible, sinon la sortie finale
|
|
|
|
|
|
serait respectivement ¡ et ¿.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
o
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{ø}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
O
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{Ø}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
l
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{ł}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
L
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{Ł}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
!
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hspace{}
|
2008-03-29 04:25:35 +00:00
|
|
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|
\length 0mm
|
2008-02-12 22:22:36 +00:00
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\end_inset
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`
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|
\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\textrm{!`}$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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?
|
2008-06-04 22:36:44 +00:00
|
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\begin_inset space \hspace{}
|
2008-03-29 04:25:35 +00:00
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\length 0mm
|
2008-02-12 22:22:36 +00:00
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\end_inset
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`
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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|
\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\begin_inset Formula $\textrm{?`}$
|
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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j
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\end_layout
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|
\end_inset
|
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|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
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|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
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|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\textrm{ȷ}$
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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\end_layout
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\end_inset
|
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|
</cell>
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</row>
|
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|
</lyxtabular>
|
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|
\end_inset
|
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|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
|
|
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|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
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|
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
Les caractères
|
|
|
|
|
|
\begin_inset Formula $\textrm{\textrm{Å}}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
et
|
|
|
|
|
|
\begin_inset Formula $\textrm{\textrm{Ø}}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
peuvent aussi être insérés avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/math/digamma.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
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|
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|
|
de la barre d'outils mathématique.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les commandes
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
!
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hspace{}
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\length 0mm
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
`
|
|
|
|
|
|
\series default
|
2008-03-29 04:25:35 +00:00
|
|
|
|
et ?
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\series bold
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hspace{}
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\length 0mm
|
|
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series default
|
2008-03-29 04:25:35 +00:00
|
|
|
|
` sont des exceptions puisqu'elles peuvent être insérées directement dans
|
2008-02-12 22:22:36 +00:00
|
|
|
|
le texte dans LyX.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Les accents dans le texte
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Accents-dans-le-texte"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Accents ! dans le texte
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
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|
|
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|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Avec les commandes suivantes, on peut accentuer toutes les lettres.
|
|
|
|
|
|
Ces commandes doivent être insérées en mode TeX.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="8" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="block" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="block" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
|
|
|
|
\backslash
|
|
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|
|
\begin_inset Quotes grd
|
|
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|
|
|
\end_inset
|
|
|
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|
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|
|
e
|
|
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|
\end_layout
|
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|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
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|
|
|
|
|
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|
|
\backslash
|
|
|
|
|
|
"e
|
|
|
|
|
|
\end_layout
|
|
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|
|
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|
|
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|
|
\end_inset
|
|
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|
|
\end_layout
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
`e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
`e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
^
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
e
|
|
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|
|
\end_layout
|
|
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|
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|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\begin_inset ERT
|
|
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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^e
|
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|
\end_layout
|
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|
\end_inset
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
|
</cell>
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
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|
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|
\begin_inset Text
|
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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=e
|
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\end_layout
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|
\end_inset
|
|
|
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|
|
</cell>
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
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|
|
\begin_inset Text
|
|
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|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset ERT
|
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|
|
status collapsed
|
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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=e
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\end_layout
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|
\end_inset
|
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|
\end_layout
|
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|
\end_inset
|
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|
|
</cell>
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
u
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
spce
|
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|
\end_layout
|
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|
|
\end_inset
|
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|
|
e
|
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|
|
|
\end_layout
|
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|
|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
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|
u e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
b
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
b e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
t
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
ee
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
t ee
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="8" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="block" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
H
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
H e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
'e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
'e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
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|
|
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|
|
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|
|
|
\end_layout
|
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|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
~e
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
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|
|
|
|
|
|
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|
|
\begin_layout Plain Layout
|
|
|
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|
Tilde
|
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|
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|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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\end_layout
|
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|
|
\end_inset
|
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|
|
</cell>
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
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|
|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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~e
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\end_layout
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\end_inset
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\end_layout
|
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\end_inset
|
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</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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.e
|
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\end_layout
|
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|
\end_inset
|
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|
|
</cell>
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
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|
|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset ERT
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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|
.e
|
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|
\end_layout
|
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|
\end_inset
|
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|
\end_layout
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
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|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
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|
|
|
\backslash
|
|
|
|
|
|
v
|
|
|
|
|
|
\begin_inset ERT
|
|
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|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
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|
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|
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|
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|
|
\backslash
|
|
|
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|
|
spce
|
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|
|
\end_layout
|
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|
|
\end_inset
|
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|
e
|
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|
|
\end_layout
|
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|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
v e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
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|
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|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
d
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
d e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
c
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
c e
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
|
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|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
t
|
|
|
|
|
|
\series default
|
|
|
|
|
|
on peut aussi accentuer deux caractères différents.
|
|
|
|
|
|
La commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
t
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
sz
|
|
|
|
|
|
\series default
|
|
|
|
|
|
va donner:
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
t sz
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les accents
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
`
|
|
|
|
|
|
\series default
|
|
|
|
|
|
,
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
'
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
^
|
|
|
|
|
|
\series default
|
|
|
|
|
|
peuvent être insérés directement avec le clavier, sans utiliser le mode
|
|
|
|
|
|
TeX, quand ils sont utilisés avec des voyelles.
|
|
|
|
|
|
La même chose s'applique au tilde
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Ceci s'applique uniquement aux claviers où le tilde est défini comme un
|
|
|
|
|
|
accent.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
~
|
|
|
|
|
|
\series default
|
|
|
|
|
|
en combinaison avec
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
a
|
|
|
|
|
|
\emph default
|
|
|
|
|
|
,
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
n
|
|
|
|
|
|
\emph default
|
|
|
|
|
|
, ou
|
|
|
|
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|
\emph on
|
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o
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|
\emph default
|
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.
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\end_layout
|
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\begin_layout Standard
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Les commandes
|
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\series bold
|
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\backslash
|
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b
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\series default
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,
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\series bold
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\backslash
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c
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\series default
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,
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\series bold
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\backslash
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d
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\series default
|
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,
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|
\series bold
|
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\backslash
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H
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\series default
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,
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\series bold
|
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\backslash
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t
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\series default
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,
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\series bold
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\backslash
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u
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\series default
|
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,
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\series bold
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\backslash
|
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v
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\series default
|
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, et les accents qui sont insérés directement au clavier sont aussi disponibles
|
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|
|
|
en texte mathématique.
|
|
|
|
|
|
Pour les autres accents, il y a des commandes mathématiques spéciales à
|
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|
|
|
utiliser dans les formules, voir
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Accents-sur-un-caractère"
|
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace bigskip
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\end_inset
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En plus, avec la commande
|
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|
\series bold
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\backslash
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textcircled
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\series default
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2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! T !
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\backslash
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textcircled
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
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tous les nombres et toutes les lettres peuvent être mises dans un cercle,
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|
comme pour le symbole du copyright.
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|
\end_layout
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\begin_layout Standard
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\align center
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\begin_inset Tabular
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|
<lyxtabular version="3" rows="3" columns="2">
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|
<features>
|
2008-03-28 01:54:17 +00:00
|
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Commande
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|
\end_layout
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|
\end_inset
|
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</cell>
|
2008-03-28 01:54:17 +00:00
|
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|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Résultat
|
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|
\begin_inset Note Note
|
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|
status collapsed
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\series bold
|
|
|
|
|
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|
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|
|
\backslash
|
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|
raisebox est seulement utilisée pour faire de la place
|
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|
|
\end_layout
|
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|
\end_inset
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\end_layout
|
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|
\end_inset
|
|
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|
</cell>
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
|
|
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|
|
\backslash
|
|
|
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|
|
textcircled{w}
|
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|
|
\end_layout
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell multicolumn="1" alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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|
textcircled{w}
|
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|
\end_layout
|
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|
\end_inset
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\end_layout
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|
\end_inset
|
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|
</cell>
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\backslash
|
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Large
|
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|
\backslash
|
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|
textcircled{
|
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|
\backslash
|
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|
normalsize
|
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|
\backslash
|
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|
protect
|
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|
\backslash
|
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|
raisebox{-1.5pt}{W}}
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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|
<cell multicolumn="1" alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
\begin_inset ERT
|
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|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
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|
\backslash
|
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|
Large
|
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|
\backslash
|
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|
textcircled{
|
|
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|
|
\backslash
|
|
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|
normalsize
|
|
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|
|
\backslash
|
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|
protect
|
|
|
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|
\backslash
|
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|
|
|
raisebox{-1.5pt}W}
|
|
|
|
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|
\end_layout
|
|
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|
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|
\end_inset
|
|
|
|
|
|
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|
|
|
|
|
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{-2mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
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|
\end_layout
|
|
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On doit faire attentions à ce que le caractère tienne dans le cercle.
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Large
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Tailles-polices"
|
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
|
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|
\end_layout
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|
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|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
donne ici la taille du cercle.
|
|
|
|
|
|
On peut centrer le caractère avec l'aide de la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
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|
|
\backslash
|
|
|
|
|
|
raisebox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Boîtes-sans-cadre"
|
|
|
|
|
|
|
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|
|
|
|
\end_inset
|
|
|
|
|
|
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|
\end_layout
|
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|
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|
\end_inset
|
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|
.
|
|
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|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Nombres en minuscules
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Minuscules pour les nombres
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
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|
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|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les nombres en minuscule sont créés avec la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
oldstylenums
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! O !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
oldstylenums
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
Cette commande peut être utilisée dans des formules et aussi en mode TeX.
|
|
|
|
|
|
La syntaxe de la commande est:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
oldstylenums{nombre}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
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\begin_layout Standard
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La commande
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\series bold
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\backslash
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oldstylenums{0123456789
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\series default
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donne:
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\oldstylenums{0123456789}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Subsection
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Caractères spéciaux divers
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
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2008-02-12 22:22:36 +00:00
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name "sub:Caractères-spéciaux-divers"
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Caractères spéciaux ! divers
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Les caractères suivants ne peuvent être insérés que dans des formules en
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utilisant les commandes suivantes:
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\end_layout
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\begin_layout Standard
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\align center
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\begin_inset Tabular
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<lyxtabular version="3" rows="4" columns="2">
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<features>
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2008-03-28 01:54:17 +00:00
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<column alignment="center" valignment="top" width="0">
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<column alignment="center" valignment="top" width="0">
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Commande
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Résultat
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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^
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\begin_inset Formula $\mathcircumflex$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
|
2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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_
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\end_layout
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\end_inset
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</cell>
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\_$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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^
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\backslash
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circ
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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°
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\begin_inset Formula $^{\circ}$
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
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|
Le symbole degré ° peut être inséré directement à condition que le préambule
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|
LaTeX contienne la ligne suivante
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Plus d'information à ce sujet dans
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset ref
|
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|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
reference "sub:Caractères-texte"
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\end_inset
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.
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\end_layout
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\end_inset
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:
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\end_layout
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\begin_layout Standard
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\series bold
|
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\backslash
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DeclareInputtext{176}{
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\backslash
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ifmmode^
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\backslash
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circ
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\backslash
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else
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\backslash
|
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textdegree
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\backslash
|
2008-06-20 22:01:27 +00:00
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fi}
|
2008-02-12 22:22:36 +00:00
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|
\end_layout
|
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|
\begin_layout Section
|
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|
Styles de formules
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset label
|
|
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|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
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|
name "sec:Styles-de-formules"
|
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\end_inset
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|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Formules ! styles
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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|
\begin_layout Itemize
|
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|
Il y a deux styles d'alignements différents:
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|
\end_layout
|
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|
\begin_deeper
|
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|
\begin_layout Description
|
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|
Centré est le standard prédéfini
|
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\end_layout
|
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|
\begin_layout Description
|
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|
Indenté pour ce style, l'option
|
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|
\series bold
|
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|
|
fleqn
|
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|
|
\series default
|
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|
|
doit être insérée dans la fenêtre de dialogue
|
|
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|
|
\family sans
|
|
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|
|
Document\SpecialChar \menuseparator
|
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|
|
Paramètres
|
|
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|
|
\family default
|
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|
dans la rubrique
|
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|
\family sans
|
2008-03-28 01:54:17 +00:00
|
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|
Classe
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
de
|
2008-06-04 22:36:44 +00:00
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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Document
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\end_layout
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|
\begin_layout Standard
|
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|
Quand on utilise
|
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|
|
\series bold
|
|
|
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|
Indenté
|
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|
\series default
|
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|
|
, la profondeur de l'indentation peut être ajustée en modifiant la longueur
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|
\series bold
|
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\backslash
|
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mathindent
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Commandes ! M !
|
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|
\backslash
|
|
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|
mathindent
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
|
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|
|
|
|
|
|
|
|
|
.
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Par exemple, pour une distance de 15
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
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|
|
mm, on insère la ligne de commande suivante dans le préambule LaTeX
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
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|
\begin_layout Standard
|
|
|
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\series bold
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\backslash
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setlength{
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\backslash
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mathindent}{15mm}
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\end_layout
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\begin_layout Standard
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2008-03-28 01:54:17 +00:00
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Si on ne spécifie pas de distance, la valeur prédéfinie de 30
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2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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pt est utilisée.
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\end_layout
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\end_deeper
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\begin_layout Itemize
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Et deux styles différents de numérotation:
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\end_layout
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\begin_deeper
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\begin_layout Description
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Droite est le standard prédéfini
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\begin_layout Description
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Gauche pour ce style, l'option
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\series bold
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leqno
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\series default
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doit être insérée dans la fenêtre de dialogue
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\family sans
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Document\SpecialChar \menuseparator
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Paramètres
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\family default
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dans la rubrique
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\family sans
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2008-03-28 01:54:17 +00:00
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Classe
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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de
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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Document
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\end_layout
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\end_deeper
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\begin_layout Standard
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\series bold
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fleqn
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\series default
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et
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\series bold
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leqno
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\series default
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peuvent être utilisés ensembles.
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Dans ce cas les deux options sont insérées, séparées par une virgule.
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\end_layout
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\begin_layout Standard
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Les styles choisis sont utilisés par toutes les formules du document.
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Quand il faut créer à la fois des formules centrées et des formules alignées,
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on utilise le style
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\series bold
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Centré
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\series default
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.
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Les formules indentées sont alors placées dans un environnement
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\series bold
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falign,
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\series default
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voir
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand ref
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2008-02-12 22:22:36 +00:00
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reference "sub:environnement-Flalign"
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\end_inset
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.
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\end_layout
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\begin_layout Section
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Formules multi-lignes
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
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name "sec:Formules-multilignes"
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\end_inset
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|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
|
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status collapsed
|
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\begin_layout Plain Layout
|
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|
Formules ! multi-lignes
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
|
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\begin_layout Subsection
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|
Généralités
|
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\end_layout
|
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|
\begin_layout Standard
|
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|
Dans LyX, on crée les formules multi-lignes en appuyant sur
|
|
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|
\family sans
|
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|
\series bold
|
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Ctrl-Entrée
|
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|
\family default
|
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|
\series default
|
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|
à l'intérieur d'une formule.
|
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|
Cela crée un environnement
|
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|
\series bold
|
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align
|
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|
\series default
|
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|
qui est décrit dans
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset CommandInset ref
|
|
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|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
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|
reference "sub:environnement-align-standard"
|
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\end_inset
|
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.
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\end_layout
|
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|
\begin_layout Standard
|
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|
Il y a d'autres environnement de formules multi-lignes qui peuvent être
|
|
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|
|
créés en passant par le menu
|
|
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|
\family sans
|
|
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|
Insérer\SpecialChar \menuseparator
|
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|
Math
|
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|
\family default
|
|
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.
|
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|
Ces environnements sont décrits dans les sections qui suivent.
|
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
Dans tous les environnements de formules multi-ligne, une nouvelle ligne
|
|
|
|
|
|
est créée en appuyant sur
|
|
|
|
|
|
\family sans
|
|
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|
|
Ctrl-Entrée
|
|
|
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|
|
\family default
|
|
|
|
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.
|
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|
Pour ajouter ou supprimer des lignes, on peut utiliser respectivement les
|
|
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|
|
|
boutons
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/tabular-feature_append-row.png
|
|
|
|
|
|
scale 85
|
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|
\end_inset
|
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|
ou
|
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|
\begin_inset Graphics
|
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|
|
filename ../../images/tabular-feature_delete-row.png
|
|
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|
scale 85
|
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|
\end_inset
|
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|
de la barre d'outils mathématique ou bien le menu
|
|
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|
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|
\family sans
|
|
|
|
|
|
Éditer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Lignes
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
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|
|
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|
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|
&
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Colonnes
|
|
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|
\family default
|
|
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|
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|
.
|
|
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|
|
|
\end_layout
|
|
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|
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|
\begin_layout Subsubsection
|
|
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|
|
|
Séparation des lignes
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Séparation-des-lignes"
|
|
|
|
|
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|
\end_inset
|
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
|
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|
|
|
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|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Formules ! multi-lignes ! Séparation des lignes
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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\end_inset
|
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\end_layout
|
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|
\begin_layout Standard
|
|
|
|
|
|
Il n'y a parfois pas assez d'espace entre les lignes d'une formule multi-lignes:
|
|
|
|
|
|
\begin_inset Formula \begin{eqnarray*}
|
|
|
|
|
|
B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
|
|
|
|
|
|
4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0\end{eqnarray*}
|
|
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|
\end_inset
|
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\end_layout
|
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|
\begin_layout Standard
|
|
|
|
|
|
En LaTeX l'espacement supplémentaire entre deux lignes est spécifié en tant
|
|
|
|
|
|
qu'argument optionnel de la commande de saut de ligne.
|
|
|
|
|
|
Ce n'est pas encore possible avec LyX
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
voir
|
2008-03-29 04:25:35 +00:00
|
|
|
|
\begin_inset CommandInset href
|
|
|
|
|
|
LatexCommand href
|
|
|
|
|
|
name "LyX-bug #1505"
|
|
|
|
|
|
target "http://bugzilla.lyx.org/show_bug.cgi?id=1505"
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
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\end_layout
|
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|
\end_inset
|
|
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|
|
|
|
|
|
|
|
|
, ce qui fait que la totalité de la formule doit être insérée en mode TeX.
|
|
|
|
|
|
Pour ajouter de l'espace dans notre exemple, on insère la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
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|
|
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|
\backslash
|
|
|
|
|
|
[3mm]
|
|
|
|
|
|
\series default
|
|
|
|
|
|
à la fin de la première ligne et on obtient:
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
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|
\backslash
|
|
|
|
|
|
begin{eqnarray*}
|
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD &
|
|
|
|
|
|
= &
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}
|
|
|
|
|
|
\backslash
|
|
|
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|
|
|
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|
\backslash
|
|
|
|
|
|
[3mm]
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
4x^{2}
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
left(B^{2}+x_{0}^{2}
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
right)+4x_{0}x
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
left(D-B^{2}
|
|
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|
|
|
\backslash
|
|
|
|
|
|
right)+B^{2}
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
right) & = & 0
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
\backslash
|
|
|
|
|
|
end{eqnarray*}
|
|
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|
|
|
\end_layout
|
|
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|
|
\end_inset
|
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|
|
\end_layout
|
|
|
|
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|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace bigskip
|
|
|
|
|
|
\end_inset
|
|
|
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|
\end_layout
|
|
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|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On obtient alors:
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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setlength{
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\backslash
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jot}{3mm+3pt}
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\end_layout
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\end_inset
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\begin_inset Formula \begin{eqnarray*}
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B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
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4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0\end{eqnarray*}
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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\backslash
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\end_inset
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Pour revenir à l'espacement par défaut, on remet la valeur de
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\series bold
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\backslash
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jot
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\series default
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2008-03-28 01:54:17 +00:00
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à 3
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2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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pt.
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\end_layout
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\begin_layout Subsubsection
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Séparation des colonnes
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
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name "sub:Séparation-des-colonnes"
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! multi-lignes ! Séparation des colonnes
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Les formules multi-lignes forment une matrice.
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Une formule dans un environnement eqnarray est par exemple une matrice
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à trois colonnes.
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En changeant l'espacement des colonnes de cet environnement, on peut modifier
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l'espace à côté du symbole de relation.
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\end_layout
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\begin_layout Standard
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L'espacement des colonnes est spécifié avec la longueur
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\series bold
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! A !
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\backslash
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arraycolsep
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|
2008-02-12 22:22:36 +00:00
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\end_inset
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selon la relation:
|
2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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séparation des colonnes = 2
|
2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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arraycolsep
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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Donc, la commande
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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setlength{
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\backslash
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arraycolsep}{1cm}
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\end_layout
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\begin_layout Standard
|
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insérée en mode TeX, met pour toutes les formules qui la suivent, l'espacement
|
2008-03-28 01:54:17 +00:00
|
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|
des colonnes à 2
|
2008-06-04 22:36:44 +00:00
|
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\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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cm.
|
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|
Pour revenir à la valeur par défaut, on met
|
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|
\series bold
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\backslash
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arraycolsep
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\series default
|
2008-03-28 01:54:17 +00:00
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à 5
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
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pt.
|
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|
\end_layout
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|
\begin_layout Standard
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Une formule avec des colonnes séparées de 2
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
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cm:
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|
\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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setlength{
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\backslash
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arraycolsep}{1cm}
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\end_layout
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\end_inset
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|
\begin_inset Formula \begin{eqnarray*}
|
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|
|
A & = & B\\
|
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|
|
C & \ne & A\end{eqnarray*}
|
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\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
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|
|
Une formule avec la séparation de colonne prédéfinie de 10
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
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pt:
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\begin_inset ERT
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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setlength{
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\backslash
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arraycolsep}{5pt}
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\end_layout
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\end_inset
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|
\begin_inset Formula \begin{eqnarray*}
|
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|
|
A & = & B\\
|
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|
|
C & \ne & A\end{eqnarray*}
|
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\end_inset
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\end_layout
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|
\begin_layout Subsubsection
|
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|
Formules longues
|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! longues
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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|
\begin_layout Standard
|
|
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|
|
Les formules longues peuvent être mises en forme en utilisant une de ces
|
|
|
|
|
|
méthodes:
|
|
|
|
|
|
\end_layout
|
|
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|
|
\begin_layout Itemize
|
|
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|
|
Quand un des membres de l'équation est beaucoup plus court que la largeur
|
|
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|
|
|
de la ligne, c'est lui qui est choisi comme membre de gauche et le membre
|
|
|
|
|
|
de droite est écrit sur deux lignes:
|
|
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|
|
\begin_inset ERT
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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|
medskip
|
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|
\end_layout
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\end_inset
|
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|
|
\begin_inset Formula \begin{eqnarray}
|
|
|
|
|
|
H & = & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\nonumber \\
|
2008-06-20 22:01:27 +00:00
|
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|
|
& & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:kurzlang}\end{eqnarray}
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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\begin_inset ERT
|
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status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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smallskip
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\end_layout
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\end_inset
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Newline newline
|
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|
\end_inset
|
|
|
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|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Le signe moins au début de la deuxième ligne n'apparaît normalement pas
|
|
|
|
|
|
comme un opérateur puisqu'il est le premier caractère de la ligne.
|
|
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|
|
|
À cause de cela, il ne devrait pas être entouré d'espace ce qui le rendrait
|
|
|
|
|
|
difficile à distinguer de la barre de fraction.
|
|
|
|
|
|
Pour éviter cela, une espace a été insérée après les signe moins avec la
|
|
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|
|
|
commande
|
|
|
|
|
|
\series bold
|
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|
\backslash
|
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|
hspace{3pt}
|
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|
\series default
|
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|
\begin_inset Foot
|
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|
status collapsed
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|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
plus au sujet de la commande
|
|
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|
|
\series bold
|
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\backslash
|
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hspace
|
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|
\series default
|
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|
, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Espace-variable"
|
|
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|
\end_inset
|
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\end_layout
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\end_inset
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
|
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|
Commandes ! H !
|
|
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|
\backslash
|
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|
|
hspace
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
|
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.
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\end_layout
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\begin_layout Itemize
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Quand les deux membre de l'équation sont trop longs, on utilise la commande
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\series bold
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\backslash
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lefteqn
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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\begin_layout Plain Layout
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Commandes ! L !
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\backslash
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lefteqn
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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Elle est insérée dans la première colonne de la première ligne et a comme
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effet que tout ce qui sera inséré après va recouvrir les colonnes qui suivent:
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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\begin_inset Formula \begin{eqnarray}
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\lefteqn{4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}}\nonumber \\
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2008-06-20 22:01:27 +00:00
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& & -\hspace{3pt}B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\nonumber \\
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2008-02-12 22:22:36 +00:00
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& & =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\label{eq:lefteqn}\end{eqnarray}
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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smallskip
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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Après l'insertion de la commande
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\series bold
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lefteqn
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\series default
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, le curseur se trouve dans une boîte violette qui est légèrement décalée
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vers la gauche par rapport à la boîte bleue.
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C'est dans cette dernière que l'on insère la formule.
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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Le contenu des lignes suivantes est inséré dans la deuxième colonne ou dans
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celles d'après.
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Plus le numéro de la colonne sera élevé, plus l'indentation sera importante.
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\begin_inset Note Greyedout
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status open
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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Notez les points suivants quand vous utilisez
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\series bold
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\backslash
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lefteqn
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\series default
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:
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\end_layout
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\begin_layout Itemize
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La formule n'utilise pas la totalité de la largeur de la page.
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Quand par exemple on a ajouté le terme
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\begin_inset Formula $-B^{2}$
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\end_inset
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à la première ligne de l'exemple ci-dessus, il aurait dû être en dehors
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de la marge.
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Pour mieux utiliser la largeur disponible, on peut insérer un espacement
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négatif en début de la première ligne.
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\end_layout
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\begin_layout Itemize
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À cause d'un bug dans LyX le curseur ne peut pas être positionné sur la
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première ligne avec la souris
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-03-29 04:25:35 +00:00
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\begin_inset CommandInset href
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|
LatexCommand href
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|
name "LyX-bug #1429"
|
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|
|
target "http://bugzilla.lyx.org/show_bug.cgi?id=1429"
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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.
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On peut seulement placer le curseur au début de la ligne et ensuite le
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déplacer avec les flèches du clavier.
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Itemize
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D'autres méthodes pour créer des formules longues sont offertes par les
|
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|
environnements décrits dans
|
2008-03-28 01:54:17 +00:00
|
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\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
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reference "sub:Environnement-Multline"
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\end_inset
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et
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
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reference "sub:Portions-de-formules-en-multiligne"
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\end_inset
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.
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\end_layout
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\begin_layout Subsubsection
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Crochets sur plusieurs lignes
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
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name "sub:Crochets-multilignes"
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Crochets ! pour expressions multi-lignes
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour des parenthèses ou des crochets entourant des expressions réparties
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sur plusieurs lignes, on rencontre le problème suivant:
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|
\begin_inset Formula \begin{eqnarray*}
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|
A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
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& & \left.\cdots+B-D\right]\end{eqnarray*}
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\end_inset
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\end_layout
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\begin_layout Standard
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Le crochet de fermeture est plus petit que celui d'ouverture parce que les
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crochets à taille variable ne peuvent pas couvrir plusieurs lignes.
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\end_layout
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\begin_layout Standard
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Pour donner la bonne taille au crochet de la deuxième ligne, la première
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ligne doit se terminer par la commande
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\series bold
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\backslash
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right.
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! R !
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\backslash
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right
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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et la seconde commencer par
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\series bold
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\backslash
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left.
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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pour plus au sujet des commandes
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\series bold
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\backslash
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left
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\series default
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et
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\series bold
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\backslash
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right
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\series default
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voir
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand ref
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2008-02-12 22:22:36 +00:00
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reference "sub:Taille-parenthèses-automatique"
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\end_inset
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\end_layout
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\end_inset
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! L !
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\backslash
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left
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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.
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Après le
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\series bold
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\backslash
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left.
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\series default
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on insère la commande
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\series bold
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\backslash
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vphantom
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\series default
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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\series bold
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\backslash
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prod
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\series default
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^
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_inset
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\series bold
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\backslash
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infty
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\series default
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_inset
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\series bold
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\begin_inset Formula $\downarrow$
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\end_inset
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_R=1}
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! V !
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\backslash
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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, puisque l'opérateur produit avec ses limites est le symbole le plus grand
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de la première ligne, c'est donc lui qui doit imposer la taille du crochet
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de la deuxième ligne.
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\end_layout
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\begin_layout Standard
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On obtient ceci:
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\end_layout
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\begin_layout Standard
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\begin_inset Formula \begin{eqnarray*}
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A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
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& & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]\end{eqnarray*}
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\end_inset
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\end_layout
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\begin_layout Subsection
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Les environnements align
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\end_layout
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\begin_layout Standard
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Les environnements align peuvent être utilisés pour tous les cas de formules
|
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multi-lignes.
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Ils sont particulièrement utiles pour positionner plusieurs formules côte-à-côt
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e.
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\end_layout
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\begin_layout Standard
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Les environnement Align sont composés de colonnes.
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Les colonnes impaires sont alignées à gauche alors que les colonnes paires
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sont alignées à droite.
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Chaque ligne d'un environnement Align peut être numérotée.
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\end_layout
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\begin_layout Standard
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Les environnement Align sont créés avec le menu
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\family sans
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Insérer\SpecialChar \menuseparator
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Math
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\family default
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.
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Avec le menu
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\family sans
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Éditer\SpecialChar \menuseparator
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Math\SpecialChar \menuseparator
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Change le type de formule
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\family default
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on peut convertir des formules existantes en environnement Align.
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\end_layout
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\begin_layout Standard
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Pour ajouter ou supprimer des colonnes, on peut utiliser soit les boutons
|
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\begin_inset Graphics
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filename ../../images/tabular-feature_append-column.png
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scale 85
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\end_inset
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ou
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\begin_inset Graphics
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filename ../../images/tabular-feature_delete-column.png
|
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scale 85
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\end_inset
|
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, respectivement, soit le menu
|
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\family sans
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Éditer\SpecialChar \menuseparator
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Lignes & colonnes
|
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\family default
|
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.
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\end_layout
|
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\begin_layout Subsubsection
|
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L'environnement align standard
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset label
|
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|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
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|
|
name "sub:environnement-align-standard"
|
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\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Formules ! multi-lignes ! environnement align
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
|
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|
\begin_layout Standard
|
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|
Cet environnement align est créé en appuyant sur
|
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|
|
\family sans
|
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|
Ctrl-Entrée
|
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|
\family default
|
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dans une formule ou en utilisant le menu
|
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|
\family sans
|
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|
Insérer\SpecialChar \menuseparator
|
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|
Math\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
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|
Environnement
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
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AMS
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
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align
|
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\family default
|
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.
|
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|
\end_layout
|
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\begin_layout Standard
|
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|
|
Un exemple avec deux formules mises côte-à-côte, créé avec un environnement
|
|
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|
|
|
align à quatre colonnes:
|
|
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|
|
\begin_inset Formula \begin{align*}
|
|
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|
|
|
A & =\sin(B) & C & =D\\
|
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|
C & \ne A & B & \ne D\end{align*}
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\end_inset
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Comme on peut le voir, dans cet environnement les formules sont placées
|
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|
comme s'il y avait un
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|
\series bold
|
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\backslash
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hfill
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
pour plus d'information au sujet de
|
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|
\series bold
|
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\backslash
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hfill
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\series default
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voir
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset ref
|
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|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
reference "sub:Espace-variable"
|
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\end_inset
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\end_layout
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\end_inset
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\series default
|
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avant la première colonne et après chaque colonne paire.
|
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|
Quand on utilise le style
|
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|
\series bold
|
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Indenté
|
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\begin_inset Foot
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status collapsed
|
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2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pour les styles de formules, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sec:Styles-de-formules"
|
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|
\end_inset
|
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\end_layout
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\end_inset
|
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|
\series default
|
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|
la formule est écrite sans le
|
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|
\series bold
|
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\backslash
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hfill
|
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\series default
|
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avant la première colonne.
|
|
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|
|
|
\end_layout
|
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|
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|
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|
|
\begin_layout Subsubsection
|
|
|
|
|
|
L'environnement alignat
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Formules ! multi-lignes ! environnement alignat
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
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\end_layout
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|
\begin_layout Standard
|
|
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|
L'environnement alignat n'a pas d'espacement de colonne prédéfini.
|
|
|
|
|
|
Il peut être inséré manuellement avec les espaces qui sont décrits en
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Espace"
|
|
|
|
|
|
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|
\end_inset
|
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.
|
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|
\end_layout
|
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|
\begin_layout Standard
|
|
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|
|
|
Voici l'exemple précédent dans un environnement alignat où on a inséré une
|
2008-03-28 01:54:17 +00:00
|
|
|
|
espace de 1
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
cm au début de la deuxième formule:
|
|
|
|
|
|
\begin_inset Formula \begin{alignat*}{2}
|
2008-06-20 22:01:27 +00:00
|
|
|
|
A & =\sin(B) & \hspace{1cm}C & =D\\
|
2008-02-12 22:22:36 +00:00
|
|
|
|
C & \ne A & B & \ne D\end{alignat*}
|
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|
|
\end_inset
|
|
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|
|
|
|
|
|
Puisque l'espacement des colonnes peut être choisi séparément pour chaque
|
|
|
|
|
|
colonne, cet environnement est particulièrement adapté aux cas où on a
|
|
|
|
|
|
trois colonnes ou plus côte-à-côte.
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsubsection
|
|
|
|
|
|
Environnement falign
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:environnement-Flalign"
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
|
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|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Formules ! multi-lignes ! environnement flalign
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
\end_layout
|
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
Dans cet environnement les deux premières colonnes sont placées le plus
|
|
|
|
|
|
à gauche possible et les deux dernière le plus à droite possible.
|
|
|
|
|
|
Un exemple:
|
|
|
|
|
|
\begin_inset Formula \begin{flalign*}
|
|
|
|
|
|
A & =1 & B & =2 & C & =3\\
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X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4\end{flalign*}
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\end_inset
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\end_layout
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\begin_layout Standard
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En créant un environnement flalign avec un nombre impair de colonnes et
|
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en insérant des accolades TeX vides dans la dernière colonne, plusieurs
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formules d'un document peuvent être mises à gauche, bien que le style de
|
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formules
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\series bold
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Centré
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\series default
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soit utilisé.
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Comme exemple la formule
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
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reference "eq:VolInt"
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\end_inset
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indentée:
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\begin_inset Formula \begin{flalign}
|
2008-06-20 22:01:27 +00:00
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\hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}\end{flalign}
|
2008-02-12 22:22:36 +00:00
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\end_inset
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Les deux premières colonnes contiennent la formule.
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Pour l'indenter comme avec le style de formule
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\series bold
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Indenté,
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\series default
|
2008-03-28 01:54:17 +00:00
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on a inséré une espace de 30
|
2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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pt au début de la première colonne.
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\end_layout
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\begin_layout Subsection
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Environnement eqnarray
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! multi-lignes ! environnement eqnarray
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Quand on créé cet environnement, trois boîtes bleues apparaissent.
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Le contenu de la première boîte est aligné à droite, celui de la dernière
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est aligné à gauche.
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Le contenu de la boîte du milieu est centré et apparaît un peu plus petit,
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parce qu'il est prévu pour y mettre seulement des opérateurs de relation.
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\begin_inset Formula \begin{eqnarray*}
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\frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
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AB & AB & AB\\
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A & = & A\end{eqnarray*}
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\end_inset
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\end_layout
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\begin_layout Subsection
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Environnement gather
|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! multi-lignes ! environnement gather
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
|
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Cet environnement consiste seulement en une colonne centrée.
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|
Chaque ligne peut être numérotée.
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|
\begin_inset Formula \begin{gather}
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|
A=1\\
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X=\textrm{-}1\end{gather}
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\end_inset
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\end_layout
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\begin_layout Subsection
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|
Environnement multline
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset label
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
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|
name "sub:Environnement-Multline"
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\end_inset
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|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
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status collapsed
|
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\begin_layout Plain Layout
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|
Formules ! multi-lignes ! environnement multline
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
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\end_layout
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|
\begin_layout Standard
|
|
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|
|
L'environnement multline consiste, comme l'environnement gather en une seule
|
|
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|
colonne.
|
|
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|
|
Mais la première ligne est alignée à gauche, la dernière est alignée à
|
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|
droite et toutes les autres sont centrées.
|
|
|
|
|
|
Cet environnement est donc particulièrement adapté aux formules très longues.
|
|
|
|
|
|
Comme exemple, voici la formule
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:lefteqn"
|
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|
\end_inset
|
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|
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|
|
dans un environnement multline:
|
|
|
|
|
|
\begin_inset Formula \begin{multline}
|
|
|
|
|
|
4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
|
|
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|
-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\\
|
|
|
|
|
|
=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
|
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\end_inset
|
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\end_layout
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|
\begin_layout Standard
|
|
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|
|
Dans la sortie finale, seule la dernière ligne d'un environnement multline
|
|
|
|
|
|
apparaît numérotée si le document est numéroté à droite, la première s'il
|
2008-03-29 16:24:56 +00:00
|
|
|
|
est numéroté à gauche.
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Foot
|
|
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|
|
|
status collapsed
|
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pour les styles de numérotation, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sec:Styles-de-formules"
|
|
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|
\end_inset
|
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\end_layout
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\end_inset
|
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\end_layout
|
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|
\begin_layout Standard
|
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|
|
Avec les commandes
|
|
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|
\series bold
|
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|
\backslash
|
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|
shoveright
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Commandes ! S !
|
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|
\backslash
|
|
|
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|
shoveright
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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|
\series default
|
|
|
|
|
|
et
|
|
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|
|
|
\series bold
|
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|
\backslash
|
|
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|
shoveleft
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
|
|
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|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
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|
Commandes ! S !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
shoveleft
|
|
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|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
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|
|
|
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|
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|
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|
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|
|
\series default
|
|
|
|
|
|
une ligne centrée peut être alignée respectivement à droite ou à gauche.
|
|
|
|
|
|
Les commandes sont utilisées de la façon suivante:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
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|
|
|
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|
|
\series bold
|
|
|
|
|
|
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|
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|
\backslash
|
|
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|
|
shoveright{contenu de la ligne}
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
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|
|
\series bold
|
|
|
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|
\backslash
|
|
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|
shoveleft{contenu de la ligne}
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
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|
\begin_layout Standard
|
|
|
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|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
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|
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|
|
La longueur
|
|
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|
\series bold
|
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|
|
\backslash
|
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|
multlinegap
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
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|
|
\begin_layout Plain Layout
|
|
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|
|
Commandes ! M !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
multlinegap
|
|
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|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
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|
|
|
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|
|
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|
|
\series default
|
|
|
|
|
|
précise la distance entre le début de la première ligne et la marge de
|
|
|
|
|
|
gauche.
|
2008-03-28 01:54:17 +00:00
|
|
|
|
La valeur prédéfinie est 0
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pt.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Comme exemple, la formule précédente en ajoutant avant en mode TeX
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
setlength{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
multlinegap}{2cm}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
setlength{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
multlinegap}{2cm}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula \begin{multline}
|
|
|
|
|
|
4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\shoveleft{-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}\\
|
2008-02-12 22:22:36 +00:00
|
|
|
|
=B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\end{multline}
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
setlength{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
multlinegap}{0pt}
|
|
|
|
|
|
\end_layout
|
|
|
|
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\end_inset
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La deuxième ligne a été alignée à gauche en utilisant
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\series default
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\begin_layout Subsection
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Portions de formules en multi-ligne
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
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2008-02-12 22:22:36 +00:00
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name "sub:Portions-de-formules-en-multiligne"
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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\begin_layout Plain Layout
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Formules ! multi-lignes ! portions de formules
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour afficher seulement une partie d'une formule avec plusieurs lignes,
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on peut utiliser l'un des environnements suivants:
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aligned
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alignedat
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or
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Ils peuvent être insérés en utilisant le menu
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\family sans
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Insérer\SpecialChar \menuseparator
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Math
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\family default
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ou en utilisant les commandes décrites dans cette section.
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\end_layout
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\begin_layout Standard
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Les trois premier ont les mêmes propriétés que les environnements de formules
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correspondants, à part le fait que l'on peut ajouter d'autres portions
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de formules après eux.
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Un exemple:
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\begin_inset Formula \[
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\left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
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\Delta E\Delta t & \ge\frac{\hbar}{2}\end{aligned}
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\right\} \textrm{Relations d'incertitude}\]
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\end_inset
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\begin_layout Standard
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Pour obtenir cette formule, on crée une formule hors-ligne dans laquelle
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on insère la commande
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aligned
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! A !
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\backslash
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aligned
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\series default
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Une boîte violette apparaît autour de la boîte de formule dans laquelle
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on peut ajouter des lignes et des colonnes.
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En dehors de l'environnement multiligne, on peut mettre d'autres portions
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de formules, comme des accolades.
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\end_layout
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\begin_layout Standard
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L'environnement aligned est aussi utilisable pour de longues formules dont
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les lignes sont alignées horizontalement.
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Un avantage d'utiliser l'environnement aligned avec des formules hors-lignes
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est que le numéro des formules est centré verticalement après les formules.
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Un exemple, la formule
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
|
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LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
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reference "eq:kurzlang"
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\end_inset
|
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dans l'environnement aligned:
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\begin_inset Formula \begin{equation}
|
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|
\begin{aligned}H=\; & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\\
|
2008-06-20 22:01:27 +00:00
|
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& -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\end{aligned}
|
2008-02-12 22:22:36 +00:00
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\end{equation}
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour utiliser les environnements
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\series bold
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alignedat
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\series default
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\series bold
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gathered
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\series default
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, ou
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\series bold
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split
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\series default
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, on doit insérer respectivement, les commandes
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\series bold
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alignedat
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\series default
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,
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! A !
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\backslash
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alignedat
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\series bold
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\backslash
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gathered
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! G !
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\backslash
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gathered
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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, ou
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\series bold
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\backslash
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split
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! S !
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\backslash
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split
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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.
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L'environnement split a les mêmes propriétés que l'environnement aligned,
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mais il ne peut avoir que deux colonnes.
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\end_layout
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\begin_layout Subsection
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Texte dans les formules multi-lignes
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
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name "sub:Texte-dans-multi-lignes"
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Texte ! dans les formules
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! multi-lignes ! texte
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Dans les environnements align, multline et gather, on peut insérer du texte
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qui apparaîtra sur une ligne séparée et donc, n'affectera pas l'alignement
|
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des colonnes.
|
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Pour faire cela, on utilise la commande
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\series bold
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\backslash
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intertext
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! I !
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\backslash
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intertext
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\series default
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avec la syntaxe suivante:
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\end_layout
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\begin_layout Standard
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\series bold
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intertext{texte}
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\begin_layout Standard
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Le texte ne doit pas être plus long qu'une ligne puisqu'il ne pourra pas
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subir de césure.
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Comme LyX ne supporte pas directement
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\series bold
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\backslash
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intertext
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\series default
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, le texte doit être écrit comme du texte mathématique.
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Le texte inséré avec
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\series bold
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\backslash
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intertext
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\series default
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doit être au début d'une ligne pour se trouver dans la sortie final au
|
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dessus de celle-ci.
|
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Un exemple où le texte a été inséré au début de la deuxième ligne:
|
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|
|
\begin_inset Formula \begin{align}
|
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I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
|
2008-06-20 22:01:27 +00:00
|
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|
|
\intertext{\text{l'intégrande est symétrique autour de $\phi=\pi$, donc}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\end{align}
|
2008-03-28 01:54:17 +00:00
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\end_inset
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\end_layout
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\begin_layout Section
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Numérotation des formules
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Numérotation des formules
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\end_layout
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\end_inset
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! numérotation|see
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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{
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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2008-03-28 01:54:17 +00:00
|
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Numérotation des formules
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\begin_inset ERT
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status collapsed
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2008-02-12 22:22:36 +00:00
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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2008-03-28 01:54:17 +00:00
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}
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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2008-03-28 01:54:17 +00:00
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Subsection
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Généralités
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\end_layout
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\begin_layout Standard
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On peut créer des formules numérotées avec le menu
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\family sans
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Insérer\SpecialChar \menuseparator
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Math\SpecialChar \menuseparator
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2008-03-28 01:54:17 +00:00
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Formule
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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numérotée
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\family default
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(raccourci
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\family sans
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2008-03-28 01:54:17 +00:00
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Ctrl-Alt
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2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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n
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\family default
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).
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On peut aussi numéroter des formules existantes avec le menu
|
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\family sans
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Éditer\SpecialChar \menuseparator
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Math\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
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(Dés)Activer
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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numérotation
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\family default
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(raccourci
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\family sans
|
2008-03-28 01:54:17 +00:00
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Alt-m
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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n
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\family default
|
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).
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|
Le numéro de la formule est affiché dans LyX après la formule sous la forme
|
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d'un dièse entre parenthèse
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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En anglais le dièse est le symbole du numéro (NdT).
|
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\end_layout
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\end_inset
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.
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Le dièse est remplacé dans la sortie finale par le numéro de la formule
|
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\end_layout
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\begin_layout Standard
|
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Quand on active la numérotation sur des formules multi-lignes, toutes les
|
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|
lignes sont numérotées.
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La numérotation peut ensuite être contrôlée pour chaque ligne avec le menu
|
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\family sans
|
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Éditer\SpecialChar \menuseparator
|
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|
Math\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
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|
(Dés)Activer
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
Numérotation
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
de
|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
cette
|
2008-06-04 22:36:44 +00:00
|
|
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
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|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
|
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|
ligne
|
|
|
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|
|
\family default
|
|
|
|
|
|
(raccourci
|
|
|
|
|
|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Alt-m
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
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|
|
2008-02-12 22:22:36 +00:00
|
|
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|
N
|
|
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|
|
|
\family default
|
|
|
|
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|
).
|
|
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|
|
|
\end_layout
|
|
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|
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
À part pour les formules en ligne, toutes les formules peuvent être numérotées
|
|
|
|
|
|
avec deux styles différents, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sec:Styles-de-formules"
|
|
|
|
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|
\end_inset
|
|
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|
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|
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|
|
.
|
|
|
|
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|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Références croisées
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Références-croisées"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Références croisées ! à des formules
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
|
|
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|
|
|
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|
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On peut faire référence à toute formule ayant une étiquette.
|
|
|
|
|
|
On ajoute une étiquette avec le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Insérer\SpecialChar \menuseparator
|
|
|
|
|
|
Étiquette
|
|
|
|
|
|
\family default
|
|
|
|
|
|
ou avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/label-insert.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils.
|
|
|
|
|
|
Pour cela, le curseur doit se trouver à l'intérieur d'une formule hors
|
|
|
|
|
|
ligne.
|
|
|
|
|
|
Une fenêtre de dialogue apparaît affichant le préfixe
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
eq:
|
|
|
|
|
|
\series default
|
|
|
|
|
|
dans un champ de texte.
|
|
|
|
|
|
L'étiquette est insérée à cet endroit, juste après le préfixe.
|
|
|
|
|
|
Le préfixe prédéfini signifie
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
équation
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
et rend plus facile la recherche d'une étiquette dans les grand documents
|
|
|
|
|
|
en l'identifiant comme une étiquette de formule et pas, par exemple comme
|
|
|
|
|
|
une étiquette de section.
|
|
|
|
|
|
Pour modifier l'étiquette on doit repasser par le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Insérer\SpecialChar \menuseparator
|
|
|
|
|
|
Étiquette
|
|
|
|
|
|
\family default
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Le nom de l'étiquette est affiché dans LyX entre deux parenthèses, après
|
|
|
|
|
|
la formule.
|
|
|
|
|
|
Une formule avec une étiquette est toujours numérotée.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
On insère une référence croisée avec le menu
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Insérer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Référence
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
croisée
|
|
|
|
|
|
\family default
|
|
|
|
|
|
ou avec le bouton
|
|
|
|
|
|
\begin_inset Graphics
|
|
|
|
|
|
filename ../../images/dialog-show-new-inset_ref.png
|
|
|
|
|
|
scale 85
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
de la barre d'outils.
|
|
|
|
|
|
Une référence croisée à une formule apparaît dans la sortie finale comme
|
|
|
|
|
|
un numéro de formule.
|
|
|
|
|
|
Quand on choisit dans la fenêtre de dialogue de référence croisée le format
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
(<reference>),
|
|
|
|
|
|
\series default
|
|
|
|
|
|
la référence croisée apparaît dans la sortie finale comme un numéro de
|
|
|
|
|
|
formule entre parenthèses.
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
En faisant un clic droit sur une référence croisée dans LyX, on saute à
|
|
|
|
|
|
la formule qui est référencée.
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Voici comme exemples des références croisées à des formules qui se trouvent
|
|
|
|
|
|
dans les sous-sections qui suivent:
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Noter les différents types de références croisées.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les équations
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:tag"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
et
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:c"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
sont équivalentes.
|
|
|
|
|
|
Dans (
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:Lat"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
) on a utilisé de grosses lettres latines pour la numérotation, contrairement
|
|
|
|
|
|
à (
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:Rom"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
).
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset VSpace medskip
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Quand l'argument de
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
tag
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
tag
|
|
|
|
|
|
\series default
|
|
|
|
|
|
est décrit dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Numérotation-personnalisée"
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\end_inset
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.
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\end_layout
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\end_inset
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\series default
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contient une boîte comme dans
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
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reference "sub:Boîtes-de-paragraphes"
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\end_inset
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, la formule ne peut pas être référencée.
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\end_layout
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\begin_layout Subsection
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Sous-numérotation
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Numérotation des formules ! sous-numérotation
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Avec l'aide des commandes
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\series bold
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\backslash
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begin{subequations}
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\series default
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et
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\series bold
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\backslash
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end{subequations}
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\series default
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on peut faire une sous-numérotation de formules.
|
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Les deux commandes doivent être insérées en mode TeX.
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\end_layout
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\begin_layout Standard
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Un exemple:
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\begin_inset Formula \begin{equation}
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A=C-B\label{eq:a}\end{equation}
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\end_inset
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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addtocounter{equation}{-1}
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\end_layout
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\end_inset
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\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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|
begin{subequations}
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\end_layout
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\end_inset
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\begin_inset VSpace -5mm
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\end_inset
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\begin_inset Formula \begin{equation}
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B=C-A\label{eq:b}\end{equation}
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\end_inset
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\begin_inset Formula \begin{equation}
|
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|
C=A+B\label{eq:c}\end{equation}
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\end_inset
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\end_layout
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\begin_layout Standard
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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|
end{subequations}
|
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|
\end_layout
|
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|
\end_inset
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
Pour créer cet exemple, on fait ce qui suit:
|
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|
\end_layout
|
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|
\begin_layout Enumerate
|
|
|
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|
|
on insère la première formule
|
|
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|
\end_layout
|
|
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|
|
\begin_layout Enumerate
|
|
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|
|
après la première formule on insère
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
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|
\end_inset
|
|
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|
|
|
2008-02-12 22:22:36 +00:00
|
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|
\series bold
|
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|
\backslash
|
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|
addtocounter{equation}{-1}
|
|
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|
\backslash
|
|
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|
|
begin{subequations}
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Commandes ! A !
|
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|
\backslash
|
|
|
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|
|
addtocounter
|
|
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|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\end_inset
|
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|
\end_layout
|
|
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|
|
\begin_layout Enumerate
|
|
|
|
|
|
on insère la deuxième formule
|
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Enumerate
|
|
|
|
|
|
on insère la troisième formule
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Enumerate
|
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|
on insère
|
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|
\series bold
|
|
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|
\backslash
|
|
|
|
|
|
end{subequations}
|
|
|
|
|
|
\series default
|
|
|
|
|
|
après la troisième formule
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Chaque formule entre les commandes
|
|
|
|
|
|
\series bold
|
|
|
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|
|
|
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|
|
\backslash
|
|
|
|
|
|
begin
|
|
|
|
|
|
\series default
|
|
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|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
end
|
|
|
|
|
|
\series default
|
2008-03-29 16:54:32 +00:00
|
|
|
|
est sous-numérotée avec a, b,
|
|
|
|
|
|
\begin_inset Newline linebreak
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
c, \SpecialChar \ldots{}
|
|
|
|
|
|
Pour les formules multi-lignes, chaque ligne sera numérotée.
|
|
|
|
|
|
Toutes les formules sous-numérotées sont traitées comme
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
une seule
|
|
|
|
|
|
\emph default
|
|
|
|
|
|
formule.
|
|
|
|
|
|
Mais comme chaque formule numérotée incrémente le compteur
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
equation
|
|
|
|
|
|
\series default
|
|
|
|
|
|
de un, on a besoin de la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
addtocounter
|
|
|
|
|
|
\series default
|
|
|
|
|
|
pour le décrémenter.
|
|
|
|
|
|
Sinon les formules
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:a"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
,
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:b"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
,
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:c"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
seraient numérotées comme
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:a"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
,
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:d"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
,
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:f"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
En insérant les commandes en mode TeX entre les deux premières formules,
|
|
|
|
|
|
on crée un espace.
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Pour le supprimer, on insère un espace vertical négatif de -5
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
mm après la commande
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
begin{subequations}
|
|
|
|
|
|
\series default
|
|
|
|
|
|
.
|
|
|
|
|
|
Quand on utilise le style
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
Indenté
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
pour les styles de formules, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sec:Styles-de-formules"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
,
|
|
|
|
|
|
\series default
|
2008-03-28 01:54:17 +00:00
|
|
|
|
on insère un espace de -7
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
mm à la place.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Voici un exemple de formule multi-lignes où on a désactivé la numérotation
|
2008-05-07 21:51:01 +00:00
|
|
|
|
pour la deuxième ligne:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
begin{subequations}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula \begin{eqnarray}
|
|
|
|
|
|
A & = & (B-Z)^{2}=(B-Z)(B-Z)\label{eq:d}\\
|
2008-05-07 21:51:01 +00:00
|
|
|
|
& = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
|
2008-02-12 22:22:36 +00:00
|
|
|
|
& = & B^{2}-2BZ+Z^{2}\label{eq:f}\end{eqnarray}
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
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end{subequations}
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name "sub:Numérotation-personnalisée"
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Numérotation des formules ! délimiteurs personnalisés
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Avec la numérotation standard, on a des parenthèses autour du numéro de
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formule.
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Pour, par exemple, remplacer ces parenthèses par des barres verticales,
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il faut ajouter la lignes suivante dans le préambule LaTeX:
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tagform@#1{
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maketag@@@{|#1|}}
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Cette macro est déjà déclarée dans le préambule LaTeX pour faire des tests.
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Pour l'activer, il suffit d'enlever le signe pourcent qui se trouve en
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début de ligne.
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\begin_layout Standard
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Pour utiliser d'autres symboles, il faut remplacer les barres verticales
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autour du
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#1
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par un caractère ou plus.
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Pour n'avoir que le numéro de la formule, il suffit d'enlever les barres
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verticales.
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\begin_inset VSpace bigskip
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Si vous voulez avoir une expression de votre choix entre parenthèses après
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la formule au lieu des numéros qui se suivent, vous pouvez utiliser la
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commande
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\series bold
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tag
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\series default
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Commandes ! T !
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tag
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:
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\begin_inset Formula \begin{equation}
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A+B=C\tag{quelquechose}\label{eq:tag}\end{equation}
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\end_inset
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Dans cet exemple, on a mis la commande
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tag
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\series default
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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\backslash
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spce
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\end_layout
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\end_inset
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quelquechose
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\series default
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dans la formule.
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\end_layout
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\begin_layout Standard
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Quand on insère la commande
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\series bold
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tag*
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\series default
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-26 23:32:51 +00:00
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2008-02-12 22:22:36 +00:00
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\backslash
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2008-02-26 23:32:51 +00:00
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spce
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\end_layout
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\end_inset
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\series bold
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quelquechose
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2008-02-12 22:22:36 +00:00
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\series default
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à la place, l'astérisque supprime les parenthèses autour du texte:
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\begin_inset Formula \[
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A+B=C\tag*{quelquechose}\]
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\begin_layout Standard
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\begin_inset VSpace bigskip
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\end_inset
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Pour réinitialiser la numérotation des formules à chaque nouvelle partie
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ou section du document, on utilise les commandes suivantes:
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\end_layout
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\begin_layout Standard
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\series bold
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@addtoreset{equation}{part}
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes !
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status collapsed
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\begin_layout Plain Layout
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"
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@
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status collapsed
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"
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\end_layout
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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"
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\end_inset
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@
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status collapsed
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\begin_layout Plain Layout
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addtoreset
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2008-02-12 22:22:36 +00:00
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2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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ou
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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@addtoreset{equation}{section}
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\end_layout
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\begin_layout Standard
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Pour pouvoir utiliser ces commandes en mode TeX, le caractère
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\begin_inset Quotes eld
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\end_inset
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@
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\begin_inset Quotes erd
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doit être rendu
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\begin_inset Quotes eld
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\end_inset
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actif
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\begin_inset Quotes erd
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\end_inset
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pour LaTeX en utilisant la commande
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\series bold
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makeatletter.
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La commande
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makeatother
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\series default
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le désactive.
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La suite de commandes en mode TeX est donc:
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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makeatletter
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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2008-02-12 22:22:36 +00:00
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\backslash
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@addtoreset{equation}{section}
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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2008-02-12 22:22:36 +00:00
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\backslash
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makeatother
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\end_layout
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\begin_layout Standard
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Dans le préambule LaTeX on peut omettre les commandes
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\series bold
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\backslash
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makeatletter
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\series default
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et
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\series bold
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\backslash
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makeatother
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\series default
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, vu que LyX les insère automatiquement en interne.
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\end_layout
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\begin_layout Standard
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Pour supprimer l'effet de
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\series bold
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\backslash
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@addtoreset
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\series default
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, on doit charger le fichier
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\series bold
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remreset.sty
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\series default
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\series bold
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remreset
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\series default
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fait partie du paquetage LaTeX
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\series bold
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carlisle
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Paquetages ! carlisle
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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qui est compris dans toutes les installations LaTeX standard.
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Paquetages ! remreset
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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dans le préambule LaTeX avec la ligne
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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usepackage{remreset}
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\end_layout
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\begin_layout Standard
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On peut alors utiliser la commande
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\series bold
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\backslash
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@removefromreset
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes !
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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"
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\end_layout
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\end_inset
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@
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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"
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\end_layout
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\end_inset
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!
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\backslash
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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"
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\end_layout
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\end_inset
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@
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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"
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\end_layout
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\end_inset
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removefromreset
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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avec la même syntaxe que
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\series bold
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\backslash
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@addtoreset
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\series default
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.
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace bigskip
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\end_inset
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On doit parfois numéroter les formules de la façon suivante
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\end_layout
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\begin_layout Standard
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\family typewriter
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(numéro de section.numéro de formule)
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\end_layout
|
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\begin_layout Standard
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Le numéro de formule repart à
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\begin_inset Quotes eld
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\end_inset
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1
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\begin_inset Quotes erd
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\end_inset
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à chaque nouvelle section
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\end_layout
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|
\begin_layout Standard
|
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|
Dans ce cas, on peut utiliser la commande
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|
\series bold
|
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\backslash
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numberwithin
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\series default
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|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! N !
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\backslash
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numberwithin
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\end_layout
|
2008-02-12 22:22:36 +00:00
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|
\end_inset
|
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|
, qui a la syntaxe suivante:
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|
\end_layout
|
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\begin_layout Standard
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\series bold
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\backslash
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numberwithin{compteur}{sectionnement}
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\end_layout
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\begin_layout Standard
|
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|
Le compteur indique quelle sorte de numérotation est concernée et le sectionneme
|
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|
nt indique quel numéro est placé avant le point.
|
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|
\end_layout
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|
\begin_layout Standard
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|
Donc, dans notre cas, on utilise la commande suivante, soit dans le préambule
|
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|
LaTeX soit en mode TeX:
|
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|
\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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numberwithin{equation}{section}
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\end_layout
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\begin_layout Standard
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Voici le résultat:
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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numberwithin{equation}{section}
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\end_layout
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\end_inset
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\begin_inset Formula \begin{equation}
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A+B=C\end{equation}
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour numéroter les tableaux avec le numéro de la partie comme sectionnement,
|
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|
on utilisera
|
2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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\series bold
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\backslash
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numberwithin{table}{part}
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\end_layout
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\begin_layout Standard
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|
Pour revenir à la numérotation standard pour éviter ce type de numérotation
|
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|
quand elle est définie par la classe du document, on insère la commande
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suivante, soit dans le préambule, soit en mode TeX:
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\end_layout
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\begin_layout Standard
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\series bold
|
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\backslash
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renewcommand{
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\backslash
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theequation}{
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\backslash
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arabic{equation}}
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! A !
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\backslash
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arabic
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\series default
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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renewcommand{
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\backslash
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theequation}{
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\backslash
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arabic{equation}}
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\end_layout
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\end_inset
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\series bold
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2008-03-28 01:54:17 +00:00
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|
\begin_inset Newline newline
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\end_inset
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|
2008-02-12 22:22:36 +00:00
|
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|
\series default
|
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|
ou
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|
\series bold
|
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|
2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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|
2008-02-12 22:22:36 +00:00
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\backslash
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|
renewcommand{
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\backslash
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thetable}{
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\backslash
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arabic{table}}
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\end_layout
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|
\begin_layout Standard
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\series bold
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\backslash
|
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numberwithin
|
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\series default
|
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|
utilise en interne la commande
|
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|
|
\series bold
|
|
|
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|
\backslash
|
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|
@addtoreset
|
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|
\series default
|
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|
, décrite plus haut et qui doit aussi être annulée.
|
|
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|
\begin_inset ERT
|
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|
status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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makeatletter
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|
\end_layout
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
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|
|
|
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|
\backslash
|
|
|
|
|
|
@removefromreset{equation}{section}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\backslash
|
|
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|
makeatother
|
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|
|
\end_layout
|
|
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|
\end_inset
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name "sub:Numérotation-avec-des-chiffres-romains"
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On peut aussi numéroter les formules avec des chiffres romains ou des lettres
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latines.
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Par exemple, pour numéroter avec des petits chiffres romains, on insère
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la commande
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La commande
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\begin_inset CommandInset ref
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LatexCommand ref
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reference "sec:Commandes-personnalisées"
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est utilisée comme préfixe pour un compteur, la valeur du compteur est
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Commandes ! R !
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Toutes les formules qui suivent
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sont maintenant numérotées en chiffres romains.
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Pour passer à une numérotation avec de gros chiffres romains, on insère
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Pour numéroter avec des lettres latines minuscules, on a la commande
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On peut numéroter au maximum 26 formules avec des lettres latines dans
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un même document.
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\begin_inset Formula \begin{equation}
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A=\textrm{romains minuscules}\label{eq:rom}\end{equation}
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B=\textrm{romains majuscules}\label{eq:Rom}\end{equation}
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C=\textrm{latines minuscules}\label{eq:lat}\end{equation}
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\end_inset
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\begin_inset Formula \begin{equation}
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D=\textrm{latines majuscules}\label{eq:Lat}\end{equation}
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour revenir à la numérotation par défaut, on insère la commande:
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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renewcommand{
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\backslash
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theequation}{
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\backslash
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arabic{equation}}
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! A !
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\backslash
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arabic
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2008-02-12 22:22:36 +00:00
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\begin_layout Standard
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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renewcommand{
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\backslash
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theequation}{
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arabic{equation}}
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\begin_inset Formula \begin{equation}
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E=\textrm{Arabes}\label{eq:arab}\end{equation}
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset VSpace medskip
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\end_inset
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Comme vous pouvez le voir, les numéros d'équation se suivent, indépendemment
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du style de numérotation.
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Si l'on veut que la numérotation reparte à
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\begin_inset Quotes eld
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\end_inset
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1
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\begin_inset Quotes erd
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\end_inset
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quand on change de style de numérotation, on doit définir de nouveaux compteurs.
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On trouvera une description de cette opération dans le fichier
|
2008-03-29 04:25:35 +00:00
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\begin_inset CommandInset href
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LatexCommand href
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target "Formula-numbering.lyx"
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2008-02-12 22:22:36 +00:00
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\end_inset
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.
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\end_layout
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\begin_layout Section
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Commandes personnalisées
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
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LatexCommand label
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2008-02-12 22:22:36 +00:00
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name "sec:Commandes-personnalisées"
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes personnalisées
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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De nombreuses commandes LaTeX sont trop longues pour être utilisées fréquemment.
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Mais on peut définir de nouvelles commandes plus courtes avec la commande
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\series bold
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\backslash
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newcommand
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\series default
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! N !
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\backslash
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newcommand
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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La syntaxe de
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\series bold
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\backslash
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newcommand
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\series default
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est:
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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newcommand{nom de la nouvelle commande}[nombre d'arguments]
|
2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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phantom{
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\end_layout
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\end_inset
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\backslash
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newcommand
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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}
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\end_layout
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\end_inset
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[valeur optionnelle]{définition de la commande}
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\end_layout
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\begin_layout Standard
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\begin_inset Note Greyedout
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status open
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\series bold
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Note:
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\series default
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Vérifiez que le nom de la nouvelle commande n'est pas déjà utilisé par
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|
votre document ou par un des paquetages LaTeX que vous utilisez.
|
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Si par exemple, vous tentez de définir la commande
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\series bold
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\backslash
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le
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\series default
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pour
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\series bold
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\backslash
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Leftarrow
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\series default
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, vous aurez un message d'erreur puisque
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\series bold
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\backslash
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le
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\series default
|
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est déjà définie comme étant la commande pour le symbole
|
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\begin_inset Quotes eld
|
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\end_inset
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\begin_inset Formula $\le$
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\end_inset
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\begin_inset Quotes erd
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\end_inset
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.
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset Note Greyedout
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status open
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\series bold
|
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Note:
|
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|
\series default
|
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|
Les noms des commandes personnalisées ne peuvent contenir que des lettres
|
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|
latines.
|
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|
\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
|
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Le nombre d'arguments est un entier entre 0 et 9 et il précise le nombre
|
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|
|
d'argument que la commande doit avoir.
|
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|
Avec la valeur optionnelle, on peut prédéfinir une valeur pour un argument
|
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optionnel.
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|
Quand on utilise cette valeur, le
|
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\emph on
|
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premier
|
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\emph default
|
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|
argument de la nouvelle commande est automatiquement l'argument optionnel.
|
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|
\end_layout
|
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\begin_layout Standard
|
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|
Voici quelques exemples:
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|
\end_layout
|
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|
\begin_layout Itemize
|
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|
Pour définir la commande
|
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|
\series bold
|
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\backslash
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gr
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\series default
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pour
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|
\series bold
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\backslash
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|
Longrightarrow
|
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|
\series default
|
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|
, la ligne à insérer dans le préambule LaTeX est:
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|
\begin_inset ERT
|
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|
status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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medskip
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\end_layout
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\end_inset
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|
\series bold
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|
2008-03-28 01:54:17 +00:00
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|
\begin_inset Newline newline
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\end_inset
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|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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newcommand{
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\backslash
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gr}{
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\backslash
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Longrightarrow}
|
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|
\end_layout
|
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|
\begin_layout Itemize
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|
Pour définir la commande
|
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|
\series bold
|
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\backslash
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us
|
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\series default
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pour
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\series bold
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\backslash
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underline
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|
\series default
|
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|
|
, l'argument (qui doit être souligné) doit être pris en compte.
|
|
|
|
|
|
Pour cela, la ligne à insérer dans le préambule est:
|
|
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|
|
\begin_inset ERT
|
|
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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medskip
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\end_layout
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\end_inset
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|
\series bold
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\backslash
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newcommand{
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\backslash
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us}[1]{
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\backslash
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underline{#1}}
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\series default
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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\end_inset
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\series bold
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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2008-02-12 22:22:36 +00:00
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\series default
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Le caractère
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\series bold
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#
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\series default
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agit comme un argument formel, le
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\series bold
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1
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\series default
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derrière lui indique qu'il représente le premier argument.
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\end_layout
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\begin_layout Itemize
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Pour remplacer la commande
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\series bold
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\backslash
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framebox
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\series default
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on peut par exemple définir, la commande
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\series bold
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\backslash
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fb
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\series default
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:
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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medskip
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\end_layout
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\end_inset
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\series bold
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\backslash
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newcommand{
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\backslash
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fb}[3]{
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\backslash
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framebox#1#2{$#3$}}
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\series default
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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medskip
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\end_layout
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\end_inset
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\series bold
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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2008-02-12 22:22:36 +00:00
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\series default
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Les deux dollars créent une formule supplémentaire pour la commande
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\series bold
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\backslash
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framebox
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\series default
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, voir
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
reference "sub:Boîtes-avec-cadre"
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\end_inset
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.
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\end_layout
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\begin_layout Itemize
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Pour créer une nouvelle commande pour remplacer
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\series bold
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\backslash
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fcolorbox
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\series default
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où la couleur de la boîte n'aurait pas besoin d'être précisée, l'argument
|
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pour la couleur est défini comme optionnel:
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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medskip
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\end_layout
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\end_inset
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\series bold
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|
2008-03-28 01:54:17 +00:00
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|
\begin_inset Newline newline
|
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\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
|
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|
\backslash
|
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|
newcommand{
|
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\backslash
|
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|
cb}[3][white]{
|
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\backslash
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fcolorbox{#2}{#1}{$#3$}}
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\series default
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\begin_inset ERT
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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medskip
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\end_layout
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\end_inset
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Newline newline
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|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
|
|
|
Quand la couleur n'est pas définie lors d'une utilisation de
|
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\series bold
|
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\backslash
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cb
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\series default
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, la couleur prédéfinie
|
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|
\series bold
|
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|
white
|
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|
\series default
|
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|
est utilisée par défaut.
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
|
Un test des nouvelles commandes:
|
|
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|
|
\end_layout
|
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|
\begin_layout Standard
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|
\align center
|
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|
\begin_inset Tabular
|
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|
|
<lyxtabular version="3" rows="6" columns="2">
|
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|
<features>
|
2008-03-28 01:54:17 +00:00
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|
<column alignment="center" valignment="top" width="0">
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|
<column alignment="center" valignment="top" width="0">
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<row>
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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|
\begin_inset Text
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
Commande
|
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|
\end_layout
|
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|
|
\end_inset
|
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|
|
</cell>
|
2008-03-28 01:54:17 +00:00
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
Résultat
|
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|
|
\begin_inset Note Note
|
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|
|
status collapsed
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\series bold
|
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|
\backslash
|
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|
raisebox est seulement utilisée pour faire de la place
|
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|
\end_layout
|
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\end_inset
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\end_layout
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\end_inset
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
A
|
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|
\backslash
|
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|
gr
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
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spce
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\end_layout
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\end_inset
|
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B
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|
\end_layout
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|
\end_inset
|
|
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|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $A\gr B$
|
2008-02-12 22:22:36 +00:00
|
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|
|
\end_inset
|
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\end_layout
|
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|
\end_inset
|
|
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|
|
</cell>
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
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|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\backslash
|
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|
us{ABcd
|
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|
\end_layout
|
|
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|
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|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\us{ABcd}\raisebox{-2mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
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|
\end_layout
|
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|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
fb{[2cm]
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
{
|
|
|
|
|
|
\begin_inset Formula $\to$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
\backslash
|
|
|
|
|
|
{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
int
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
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\backslash
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spce
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\end_layout
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\end_inset
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A=B
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{6mm}{}\fb{[2cm]}{}{\int A=B}\raisebox{-4mm}{}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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2008-02-12 22:22:36 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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cb{red
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\begin_inset Formula $\to$
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\end_inset
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\backslash
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{
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\backslash
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int
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A=B
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{6mm}{}\cb{red}{\int A=B}\raisebox{-4mm}{}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_inset
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</cell>
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</row>
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2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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cb[green]
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\backslash
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{red
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\begin_inset Formula $\to$
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\end_inset
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\backslash
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{
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\backslash
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int
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A=B
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
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|
\begin_inset Formula $\raisebox{6mm}{}\cb[green]{red}{\int A=B}\raisebox{-4mm}{}$
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
|
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\end_layout
|
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|
\begin_layout Section
|
|
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|
Diagrammes
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Diagrammes
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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|
\end_layout
|
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|
\begin_layout Standard
|
|
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|
|
Pour créer des diagrammes, on utilise le paquetage LaTeX
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
amscd
|
|
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|
\begin_inset Foot
|
|
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|
|
|
status collapsed
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
\series bold
|
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|
amscd
|
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|
\series default
|
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|
fait partie de toutes les installations LateX standard.
|
|
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|
\end_layout
|
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\end_inset
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Paquetages ! amscd
|
|
|
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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|
.
|
|
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|
On le charge dans le préambule LaTeX avec la ligne suivante:
|
|
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|
|
|
\end_layout
|
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|
\begin_layout Standard
|
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|
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|
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|
|
\series bold
|
|
|
|
|
|
|
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|
\backslash
|
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|
|
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|
usepackage{amscd}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les diagrammes permettent la visualisation de relations et ressemblent à
|
|
|
|
|
|
ceci:
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\begin{CD}A@>>>B@>>>C\\
|
|
|
|
|
|
@AAA@.@VVV\\
|
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|
F@<<<E@<<<D\end{CD}\]
|
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|
\end_inset
|
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\end_layout
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|
\begin_layout Standard
|
|
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|
|
Pour les obtenir, on insère la commande
|
|
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|
|
\series bold
|
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\backslash
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|
CD
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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status collapsed
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|
\begin_layout Plain Layout
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|
Commandes ! C !
|
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|
\backslash
|
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|
CD
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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|
\series default
|
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|
dans une formule.
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|
Une boîte bleue apparaît avec deux lignes en pointillé entre lesquelles
|
|
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|
|
|
on peut insérer d'autres commandes.
|
|
|
|
|
|
On crée une nouvelle ligne avec
|
|
|
|
|
|
\family sans
|
|
|
|
|
|
Ctrl-Entrée
|
|
|
|
|
|
\family default
|
|
|
|
|
|
.
|
|
|
|
|
|
Les relations horizontales sont insérées dans les lignes impaires et les
|
|
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|
|
relations verticales dans les lignes paires.
|
|
|
|
|
|
\end_layout
|
|
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|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour créer les relations, il y a les commandes suivantes:
|
|
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|
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|
\end_layout
|
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|
\begin_layout Itemize
|
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|
\series bold
|
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@<<<
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|
\series default
|
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|
crée une flèche gauche,
|
|
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|
|
\series bold
|
|
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|
|
@>>>
|
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|
\series default
|
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|
|
|
une flèche droite, et
|
|
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|
\series bold
|
|
|
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|
|
@=
|
|
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|
\series default
|
|
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|
un long signe égal
|
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|
\end_layout
|
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|
\begin_layout Itemize
|
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|
\series bold
|
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|
@AAA
|
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|
\series default
|
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|
|
crée une flèche vers le haut,
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
@VVV
|
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|
\series default
|
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|
une flèche vers le bas, et
|
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|
\series bold
|
|
|
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|
|
@|
|
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|
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|
|
\series default
|
|
|
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|
|
un signe égal vertical
|
|
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|
\end_layout
|
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|
\begin_layout Itemize
|
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|
\series bold
|
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|
@.
|
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|
\series default
|
|
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|
|
sert de remplissage pour une relation inexistante
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Toutes les flèches peuvent être étiquetées de la façon suivante:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Itemize
|
|
|
|
|
|
Si le texte est inséré entre les deux premiers < ou >, il est placé au dessus
|
|
|
|
|
|
de la flèche.
|
|
|
|
|
|
Quand il est placé entre le deuxième et le troisième, il apparaît sou la
|
|
|
|
|
|
flèche.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Itemize
|
|
|
|
|
|
Quand le texte destiné à une flèche verticale est inséré entre le premier
|
|
|
|
|
|
et le second A ou V, il est placé sur le côté gauche de la flèche.
|
|
|
|
|
|
Si il est inséré entre le deuxième et le troisième, il apparaît à droite
|
|
|
|
|
|
de la flèche.
|
|
|
|
|
|
Si le texte contient un A ou un V, ces lettres doivent être placées entre
|
|
|
|
|
|
des accolades TeX.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Comme exemple, un diagramme avec toutes les relations possibles:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\begin_inset Formula \[
|
|
|
|
|
|
\begin{CD}A@>j>>B@>>k>C@=F\\
|
|
|
|
|
|
@AmAA@.@VV{V}V@|\\
|
|
|
|
|
|
D@<<j<E@>k>>F@=C\end{CD}\]
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La commande pour l'obtenir:
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
CD
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
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A@>j>>B@>>k>C@=F Ctrl-Enter
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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2008-02-12 22:22:36 +00:00
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\begin_inset ERT
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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hphantom{
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\backslash
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2008-02-12 22:22:36 +00:00
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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@AmAA@.@VV
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\backslash
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{V
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\series default
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\begin_inset Formula $\to$
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\series bold
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V@| Ctrl-Enter
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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2008-02-12 22:22:36 +00:00
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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\backslash
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hphantom{
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\backslash
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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2008-02-12 22:22:36 +00:00
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spce
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\end_layout
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\end_inset
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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}
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\end_inset
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D@<<j<E@>k>>F@=C
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\end_layout
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\begin_layout Standard
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2008-03-28 01:54:17 +00:00
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\begin_inset Newpage newpage
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\end_inset
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2008-02-12 22:22:36 +00:00
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\end_layout
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\begin_layout Section
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Astuces
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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texorpdfstring{
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\end_layout
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\end_inset
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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On peut trouver d'autres astuces mathématiques très utiles dans
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset citation
|
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LatexCommand cite
|
2008-02-12 22:22:36 +00:00
|
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key "Voss"
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\end_inset
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.
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\end_layout
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\end_inset
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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}{}
|
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\end_layout
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\end_inset
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\begin_inset Note Note
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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|
texorpdfstring est utilisé pour éviter que la note de bas de page apparaisse
|
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|
dans les signets PDF.
|
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|
\end_layout
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|
2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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|
Plus d'infos sur
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\backslash
|
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texorpdfstring dans la section
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset ref
|
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
reference "sub:formules-dans-les-entêtes"
|
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\end_inset
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.
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Astuces
|
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\end_layout
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\end_inset
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Ions|see
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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{
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\end_layout
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\end_inset
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Symboles chimiques
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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}
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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2008-03-28 01:54:17 +00:00
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Subsection
|
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|
Symboles et équations chimiques
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset label
|
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|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
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|
|
name "sub:Symboles-chimiques"
|
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
|
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status collapsed
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\begin_layout Plain Layout
|
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E@Équations chimiques
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
|
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|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
|
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status collapsed
|
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\begin_layout Plain Layout
|
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Symboles ! chimiques
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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\end_layout
|
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|
\begin_layout Standard
|
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|
|
Un exemple de texte de chimie:
|
|
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|
\end_layout
|
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|
\begin_layout Quote
|
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L'ion
|
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|
\begin_inset Formula $\mathrm{SO_{4}^{2-}}$
|
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|
\end_inset
|
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|
réagit avec deux ions
|
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|
\begin_inset Formula $\mathrm{Na^{+}}$
|
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|
\end_inset
|
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|
pour donner du sulfate de sodium
|
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|
\begin_inset Formula $\left(\mathrm{Na_{2}SO_{4}}\right)$
|
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|
\end_inset
|
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.
|
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|
La réaction chimique peut être mise sous la forme:
|
|
|
|
|
|
\begin_inset Formula \[
|
|
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|
|
\mathrm{2\, Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\]
|
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\end_inset
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\end_layout
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\begin_layout Standard
|
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|
|
Cette équation chimique peut être créée directement sous la forme d'une
|
|
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|
|
formule.
|
|
|
|
|
|
Pour éviter que les symboles apparaissent en italiques, sélectionnez tout
|
|
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|
|
|
et mettez-le dans la police droite avec le raccourci
|
|
|
|
|
|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Alt-c
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
|
2008-02-12 22:22:36 +00:00
|
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|
r
|
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|
|
\family default
|
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|
.
|
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|
\begin_inset Foot
|
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|
|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Style de polices, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Styles-de-polices"
|
|
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|
|
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|
\end_inset
|
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\end_layout
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\end_inset
|
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|
\end_layout
|
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|
\begin_layout Subsection
|
|
|
|
|
|
Nombres négatifs
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
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|
|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Nombres ! négatifs
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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\end_layout
|
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|
\begin_layout Standard
|
|
|
|
|
|
Les nombres négatifs ont souvent un aspect horrible dans les formules parce
|
|
|
|
|
|
que le signe moins qui est devant le nombre a la même longueur que l'opérateur
|
|
|
|
|
|
moins.
|
|
|
|
|
|
Quand on écrit un nombre négatif en texte normal, le signe moins apparaît
|
|
|
|
|
|
correctement.
|
|
|
|
|
|
\end_layout
|
|
|
|
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|
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|
|
\begin_layout Standard
|
|
|
|
|
|
Le problème disparaît donc en convertissant le signe moins en texte mathématique.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
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|
|
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|
\begin_layout Standard
|
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|
|
|
|
Un exemple pour illustrer le problème:
|
|
|
|
|
|
\end_layout
|
|
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|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
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|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="3" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="right" valignment="top" width="0">
|
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|
|
<column alignment="left" valignment="top" width="0">
|
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|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
texte normal:
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|
\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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|
<cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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|
x = -2
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\end_layout
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\end_inset
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|
</cell>
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
|
<row>
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
formule:
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|
\end_layout
|
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|
|
|
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|
\end_inset
|
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|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
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|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $x=-2$
|
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|
|
|
\end_inset
|
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|
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|
\end_layout
|
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|
|
\end_inset
|
|
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|
|
</cell>
|
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
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|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
solution:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Formula $x=\textrm{-}2$
|
|
|
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|
\end_inset
|
|
|
|
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|
|
|
|
|
|
|
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|
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|
\end_layout
|
|
|
|
|
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|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
La virgule comme séparateur décimal
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Virgule
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Avec LaTeX la virgule, en accord avec la convention anglaise, est utilisée
|
|
|
|
|
|
pour grouper les chiffres dans un nombre.
|
|
|
|
|
|
Il y aura donc de l'espace d'ajouté après toutes les virgules dans les
|
|
|
|
|
|
formules.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour éviter cela, on sélectionne la virgule et on la passe en texte mathématique
|
|
|
|
|
|
(raccourci
|
|
|
|
|
|
\family sans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Alt-m
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
m
|
|
|
|
|
|
\family default
|
|
|
|
|
|
).
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour utiliser toutes les virgules d'un document comme séparateur décimal,
|
|
|
|
|
|
on doit charger le fichier
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
icomma.sty
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
icomma
|
|
|
|
|
|
\series default
|
|
|
|
|
|
fait partie du paquetage
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
was
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Paquetages ! was
|
2008-05-09 23:48:55 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
vspace{4mm}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Paquetages ! icomma
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
dans le préambule LaTeX avec la ligne
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
usepackage{icomma}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Les vecteurs physiques
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Vecteurs-physiques"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Vecteurs ! physiques
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Des vecteurs prédéfinis sont proposés par le paquetage LaTeX
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
braket
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
braket
|
|
|
|
|
|
\series default
|
|
|
|
|
|
fait partie de toutes les installations LaTeX standard.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Paquetages ! braket
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
que l'on charge en mettant dans le préambule LaTeX la ligne
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
usepackage{braket}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Les commandes suivantes sont définies:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="4" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Bra{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
psi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\Bra{\psi}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Ket{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
psi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\Ket{\psi}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Braket{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
psi|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
phi
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\Braket{\psi|\phi}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
La commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Braket
|
|
|
|
|
|
\series default
|
|
|
|
|
|
assure que toutes les barres verticales ont la même taille que les crochets
|
|
|
|
|
|
englobants:
|
|
|
|
|
|
\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\Braket{\phi|J=\frac{3}{2}\,,\, M_{J}}\]
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
L'effet de la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
Braket
|
|
|
|
|
|
\series default
|
|
|
|
|
|
peut aussi être obtenu en utilisant la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
middle
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, qui est décrite dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Taille-parenthèses-automatique"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Fractions personnalisées
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Fractions-personnalisées"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Fractions ! personnalisées
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour définir des commandes personnalisées pour les fractions, on utilise
|
|
|
|
|
|
la commande
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
genfrac
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Commandes ! G !
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
genfrac
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
avec la syntaxe suivante:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
genfrac{parenthèse gauche}{parenthèse droite}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
phantom{
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
genfrac
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
{épaisseur barre de fraction}{style}{numérateur}{dénominateur}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Le style est un nombre allant de 0 à 3.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="5" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Nombre
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Style (Taille)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
0
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
formule hors ligne
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
1
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
formule en ligne
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
2
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
petit (small)
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
3
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
minuscule (tiny)
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
|
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Quand on ne donne pas de style, la taille est adaptée à celle de l'environnement
|
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|
dans lequel on se trouve, comme avec la commande
|
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\series bold
|
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\backslash
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frac
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\series default
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.
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\end_layout
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\begin_layout Standard
|
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Quand on ne donne pas d'épaisseur pour la barre de fraction, la valeur prédéfini
|
2008-03-28 01:54:17 +00:00
|
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|
e de 0.4
|
2008-06-04 22:36:44 +00:00
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\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
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|
2008-02-12 22:22:36 +00:00
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pt est utilisée.
|
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\end_layout
|
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\begin_layout Standard
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\begin_inset VSpace medskip
|
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\end_inset
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Par exemple les commandes
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\series bold
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\backslash
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dfrac
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\series default
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et
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\series bold
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\backslash
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tbinom
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\series default
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vues en
|
2008-03-28 01:54:17 +00:00
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|
\begin_inset CommandInset ref
|
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
reference "sub:Fractions"
|
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\end_inset
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sont définies avec les commandes
|
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
|
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newcommand{
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\backslash
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dfrac}[2]{
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\backslash
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|
genfrac{}{}{}{0}{#1}{#2}}
|
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\end_layout
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\begin_layout Standard
|
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et
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|
\end_layout
|
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\begin_layout Standard
|
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\series bold
|
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|
\backslash
|
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|
newcommand{
|
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|
\backslash
|
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|
tbinom}[2]{
|
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\backslash
|
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|
genfrac{(}{)}{0pt}{1}{#1}{#2}}
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
\begin_inset VSpace medskip
|
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|
\end_inset
|
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|
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|
|
|
|
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|
|
Pour définir une fraction où on peut donner l'épaisseur de la barre de fraction
|
|
|
|
|
|
en argument, on insère la ligne suivante dans le préambule LaTeX:
|
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
\series bold
|
|
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|
\backslash
|
|
|
|
|
|
newcommand{
|
|
|
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|
\backslash
|
|
|
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|
|
fracS}[3][]{
|
|
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|
\backslash
|
|
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|
|
|
genfrac{}{}{#1}{}{#2}{#3}}
|
|
|
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|
|
\end_layout
|
|
|
|
|
|
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|
|
\begin_layout Standard
|
|
|
|
|
|
Un test:
|
|
|
|
|
|
\begin_inset Formula \begin{align*}
|
|
|
|
|
|
\text{Commande} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\text{Résultat} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}\end{align*}
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Comme on peut le voir, la distance entre le numérateur et le dénominateur
|
|
|
|
|
|
à la barre de fraction est à peu près trois fois l'épaisseur de la barre.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Subsection
|
|
|
|
|
|
Formules barrées
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:Formules-barrées"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Formules ! barrées
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Pour barrer une formule ou une portion de formule, on doit charger le paquetage
|
|
|
|
|
|
LaTeX
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
cancel
|
|
|
|
|
|
\series default
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
cancel
|
|
|
|
|
|
\series default
|
|
|
|
|
|
fait partie de toutes les distributions LaTeX standard.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Index
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Plain Layout
|
|
|
|
|
|
Paquetages ! cancel
|
|
|
|
|
|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
dans le préambule LaTeX avec la ligne
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
usepackage[samesize]{cancel}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Il y a quatre façon de barrer une formule:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
\align center
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="5" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Résultat
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
hspace
|
|
|
|
|
|
\series default
|
|
|
|
|
|
et
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox
|
|
|
|
|
|
\series default
|
|
|
|
|
|
sont seulement utilisées pour faire de la place.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
cancel{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
int
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\cancel{\int A=B}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
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|
|
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|
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|
|
\end_layout
|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
bcancel{
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
int
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
spce
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
A=B
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\begin_inset Formula $\raisebox{4.5mm}{}\bcancel{\int A=B}\raisebox{-2.5mm}{}$
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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xcancel{
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int
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\begin_inset ERT
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status collapsed
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A=B
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\end_layout
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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\begin_layout Plain Layout
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{4.5mm}{}\xcancel{\int A=B}\raisebox{-2.5mm}{}$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_inset
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</cell>
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2008-03-28 01:54:17 +00:00
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<row>
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
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2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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cancelto{1
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\begin_inset Formula $\to$
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\end_inset
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\backslash
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{
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int
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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spce
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\end_layout
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\end_inset
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A=B
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\end_layout
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\end_inset
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</cell>
|
2008-03-28 01:54:17 +00:00
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
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\begin_inset Text
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\raisebox{7mm}{}\cancelto{1}{\int A=B}\raisebox{-2.5mm}{}\hspace{3mm}$
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_inset
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</cell>
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</row>
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</lyxtabular>
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\end_inset
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\end_layout
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\begin_layout Standard
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\series bold
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\backslash
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cancelto
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\series default
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est particulièrement utile pour visualiser des simplifications de fractions
|
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dans les formules:
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|
\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
|
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|
\frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}\]
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Subsection
|
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Formules dans les entêtes de section
|
2008-03-28 01:54:17 +00:00
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|
\begin_inset CommandInset label
|
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
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|
name "sub:formules-dans-les-entêtes"
|
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! dans les entêtes de section
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
|
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|
Quand des formules sont utilisées dans des entêtes de section, on doit prendre
|
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|
en compte les points suivants:
|
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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\begin_inset Note Greyedout
|
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status open
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-04-08 23:30:42 +00:00
|
|
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|
Quand la gestion de
|
2008-02-12 22:22:36 +00:00
|
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|
\series bold
|
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|
hyperref
|
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|
\series default
|
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|
2008-03-28 01:54:17 +00:00
|
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\begin_inset Index
|
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status collapsed
|
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\begin_layout Plain Layout
|
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|
Paquetages ! hyperref
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
|
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|
2008-04-08 23:30:42 +00:00
|
|
|
|
est activée dans le dialogue paramètres du document dans la rubrique
|
2008-03-29 16:24:56 +00:00
|
|
|
|
\family sans
|
2008-04-08 23:30:42 +00:00
|
|
|
|
Propriétés du PDF
|
2008-03-29 16:24:56 +00:00
|
|
|
|
\family default
|
|
|
|
|
|
, les signets PDF sont créés dans la table des matières pour chaque entête
|
|
|
|
|
|
de section.
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Si l'entête de section contient une formule, elle est affichée de façon
|
|
|
|
|
|
incorrecte dans le texte du signet parce que les formules dans les signets
|
|
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|
|
ne respectent pas certaines conventions du PDF.
|
|
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|
\end_layout
|
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\end_inset
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\end_layout
|
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|
\begin_layout Standard
|
|
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|
|
Les deux problèmes peuvent être résolus en insérant à la fin de l'entête
|
|
|
|
|
|
de section un titre court avec le menu
|
|
|
|
|
|
\family sans
|
|
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|
|
Insérer\SpecialChar \menuseparator
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Titre
|
2008-06-04 22:36:44 +00:00
|
|
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|
\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
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court
|
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|
\family default
|
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|
.
|
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|
|
Les titres courts sont en général utilisés avec des entêtes de section
|
|
|
|
|
|
couvrant plusieurs lignes pour garder une table des matière bien ordonnée.
|
|
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|
Seul le titre court apparaît dans la table des matières et donc dans les
|
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|
signets PDF.
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
|
Quand des formules doivent apparaître dans la table des matières mais que
|
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|
|
l'on utilise aussi
|
|
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|
|
\series bold
|
|
|
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|
hyperref
|
|
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|
\series default
|
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|
|
, on peut utiliser la commande suivante en mode TeX:
|
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|
\end_layout
|
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\begin_layout Standard
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\series bold
|
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\backslash
|
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|
texorpdfstring{partie à problème}{alternative}
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
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|
Commandes ! T !
|
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|
\backslash
|
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|
texorpdfstring
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
|
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\begin_inset Quotes eld
|
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\end_inset
|
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|
Partie à problème
|
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|
\begin_inset Quotes erd
|
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|
\end_inset
|
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|
est la partie de l'entête qui ne doit pas apparaître dans les signets PDF.
|
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|
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|
|
Cela peut être des caractères, des formules, des notes de bas de page,
|
|
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|
|
mais aussi des références croisées.
|
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|
L'
|
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|
\begin_inset Quotes erd
|
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|
\end_inset
|
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|
alternative
|
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|
\begin_inset Quotes erd
|
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|
\end_inset
|
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|
|
est utilisée à la place de la
|
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|
\begin_inset Quotes eld
|
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|
\end_inset
|
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partie à problème
|
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\begin_inset Quotes erd
|
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|
\end_inset
|
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pour les signets.
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
|
Voici deux exemples d'entêtes de section:
|
|
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|
|
\begin_inset VSpace -3mm
|
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|
\end_inset
|
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|
\begin_inset ERT
|
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|
status collapsed
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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boldmath
|
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|
\end_layout
|
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|
\end_inset
|
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|
\end_layout
|
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|
|
\begin_layout Subsubsection
|
|
|
|
|
|
Entête de section sans formule dans la table des matières
|
|
|
|
|
|
\begin_inset Formula $\sqrt{-1}=\mathrm{i}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
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|
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|
|
\begin_inset OptArg
|
2008-07-10 23:08:38 +00:00
|
|
|
|
status collapsed
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Entête sans formule dans la table des matières
|
|
|
|
|
|
\end_layout
|
|
|
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|
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|
|
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|
|
\end_inset
|
|
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|
|
\end_layout
|
|
|
|
|
|
|
|
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|
|
\begin_layout Subsubsection
|
|
|
|
|
|
Entête de section avec formule dans la table des matières
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
texorpdfstring{
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula $\sqrt{-1}=\mathrm{i}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
}{}
|
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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unboldmath
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\end_layout
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\end_inset
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Dans le premier entête, on a utilisé un titre court, dans le second la commande
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\series bold
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\backslash
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texorpdfstring
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\series default
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.
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\end_layout
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\begin_layout Standard
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Pour avoir la même mise en forme que les autres entêtes, toute l'entête
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a été placée dans un environnement
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\series bold
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boldmath
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\series default
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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voir
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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reference "sub:Formules-en-gras"
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\end_inset
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\end_layout
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\end_inset
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.
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\end_layout
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\begin_layout Subsection
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Formules dans du texte multi-colonnes
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! dans du texte multi-colonnes
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Quand elles se trouvent dans un texte multi-colonnes, les formules sont
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souvent trop larges pour tenir sur une colonne et donc elles doivent pouvoir
|
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utiliser toute la largeur de la page.
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Pour faire cela, on utilise le paquetage LaTeX
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\series bold
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multicol
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\series default
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\series bold
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multicol
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\series default
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fait partie de toutes les installations LaTeX standard.
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\end_layout
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Paquetages ! multicol
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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, qui est chargé avec la ligne suivante dans le préambule LaTeX
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\end_layout
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\begin_layout Standard
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\series bold
|
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\backslash
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usepackage{multicol}
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\end_layout
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\begin_layout Standard
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\begin_inset Note Greyedout
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status open
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Noter que dans ce cas on ne
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\emph on
|
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doit pas
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\emph default
|
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activer l'option
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\family sans
|
2008-03-28 01:54:17 +00:00
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Document
|
2008-06-04 22:36:44 +00:00
|
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
|
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sur
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
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deux
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
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|
2008-02-12 22:22:36 +00:00
|
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colonnes
|
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|
\family default
|
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|
dans la rubrique
|
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|
\family sans
|
2008-03-28 01:54:17 +00:00
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|
Format
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
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du
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
|
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|
texte
|
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|
\family default
|
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|
du menu
|
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|
\family sans
|
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|
|
Document\SpecialChar \menuseparator
|
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|
Paramètres
|
|
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|
|
\family default
|
|
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|
.
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|
\end_layout
|
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\end_inset
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\end_layout
|
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|
\begin_layout Standard
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|
Avant le texte multi-colonnes on met la commande
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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\series bold
|
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\backslash
|
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|
begin{multicols}{nombre de colonnes}
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
en mode TeX.
|
|
|
|
|
|
Le nombre de colonnes est un entier entre 2 et 10.
|
|
|
|
|
|
Avant la formule, le texte multi-colonnes et interrompu avec la commande
|
|
|
|
|
|
\end_layout
|
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|
\begin_layout Standard
|
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\series bold
|
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\backslash
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|
end{multicols}
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
en mode TeX.
|
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|
\end_layout
|
|
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|
\begin_layout Standard
|
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|
À cause de la commande, un peu d'espace est ajouté automatiquement avant
|
|
|
|
|
|
la formule.
|
|
|
|
|
|
Pour le supprimer, on peut insérer avant la formule un espace vertical
|
2008-03-28 01:54:17 +00:00
|
|
|
|
de -6
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
|
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|
|
2008-02-12 22:22:36 +00:00
|
|
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|
mm.
|
|
|
|
|
|
Quand on utilise le style de formules
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
Indenté
|
|
|
|
|
|
\begin_inset Foot
|
|
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|
|
status collapsed
|
|
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|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sec:Styles-de-formules"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
pour les styles de formules.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
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|
|
|
\end_inset
|
|
|
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|
|
|
|
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|
|
\series default
|
2008-03-28 01:54:17 +00:00
|
|
|
|
, il faut mettre un espace de -9
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
mm à la place.
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
Comme exemple, un texte multi-colonne avec une formule hors-ligne:
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Standard
|
|
|
|
|
|
|
|
|
|
|
|
\lang german
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
begin{multicols}{2}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Das Spektrum wird fouriertransformiert.
|
|
|
|
|
|
the Fouriertransformation wird verwendet, um the überlagerten Signale (Netzwerk
|
|
|
|
|
|
, Lösungsmittel) zu trennen.
|
|
|
|
|
|
Nachdem wir the Phasenverschiebung bestimmen konnten, interessiert uns
|
|
|
|
|
|
nun das Aussehen des Ausgangssignals.
|
|
|
|
|
|
Im Experiment haben wir es with sehr vielen Teilchen zu tun, so that man
|
|
|
|
|
|
über alle Phasen integrieren muss.
|
|
|
|
|
|
Sei nun
|
|
|
|
|
|
\begin_inset Formula $S$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
unser normiertes Ausgangssignal and
|
|
|
|
|
|
\begin_inset Formula $P$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
the Phasenverteilungsfunktion, so ergibt sich the Beziehung
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
end{multicols}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset VSpace -6mm
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset Formula \begin{equation}
|
|
|
|
|
|
S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi\label{eq:fouriertrafo}\end{equation}
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
begin{multicols}{2}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
wobei
|
|
|
|
|
|
\begin_inset Formula $S_{0}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
das Signal ohne Gradient ist and the Normierungsbedingung
|
|
|
|
|
|
\begin_inset Formula $\int_{-\infty}^{\infty}P(\phi,t)\,\mathrm{d}\phi=1$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
gilt.
|
|
|
|
|
|
Nun dürfen wir aber nicht the Relaxationsprozess außer Acht lassen.
|
|
|
|
|
|
Direkt nach the
|
|
|
|
|
|
\begin_inset Formula $\nicefrac{\pi}{2}$
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
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2008-02-12 22:22:36 +00:00
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-rf-Puls beginnt sich the Magnetisierung zu entfokussieren, wodurch sich
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das Signal zusätzlich abschwächt.
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Diese Abschwächung verläuft exponentiell in Abhängigkeit the so genannten
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\begin_inset Formula $T_{2}$
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\end_inset
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-Zeit.
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\end_layout
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\begin_layout Standard
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\lang german
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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end{multicols}
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Subsection
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Formules avec description des variables
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Formules ! avec description des variables
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Pour décrire les variable au sein d'une formule, comme dans la formule
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
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reference "eq:within"
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\end_inset
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2008-03-28 01:54:17 +00:00
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, on peut utiliser une matrice
|
2008-06-04 22:36:44 +00:00
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\begin_inset space ~
|
2008-03-28 01:54:17 +00:00
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\end_inset
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2008-02-12 22:22:36 +00:00
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2
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\series bold
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×
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\series default
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\begin_inset Formula $n$
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\end_inset
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avec une colonne alignée à gauche pour les
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\begin_inset Formula $n$
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\end_inset
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variables utilisées
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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pour les matrices, voir
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
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reference "sec:Matrices"
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\end_inset
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\end_layout
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\end_inset
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.
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Pour mettre la description en plus petits caractères, on peut insérer par
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exemple la commande
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\series bold
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\backslash
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footnotesize
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\series default
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avant la matrice
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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|
pour les tailles de polices, voir
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
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|
reference "sub:Tailles-polices"
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\end_inset
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\end_layout
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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Quand on utilise le style de formules
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\series bold
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|
Indenté
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|
\begin_inset Foot
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status collapsed
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|
2008-03-28 01:54:17 +00:00
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
pour les styles de formules, voir
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
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|
|
reference "sec:Styles-de-formules"
|
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\end_inset
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\end_layout
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\end_inset
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\series default
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, on insère un
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\series bold
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\backslash
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hfill
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\series default
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|
\begin_inset Foot
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|
status collapsed
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\series bold
|
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|
\backslash
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|
hfill
|
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|
\series default
|
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|
marche seulement avec des formules dans le style
|
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|
\series bold
|
|
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|
Indenté
|
|
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|
\series default
|
|
|
|
|
|
, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Espace-variable"
|
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|
\end_inset
|
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.
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|
\end_layout
|
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|
\end_inset
|
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|
avant et après la matrice pour avoir la même séparation entre la matrice
|
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|
|
et la formule et entre la matrice et la marge.
|
|
|
|
|
|
\end_layout
|
|
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|
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|
|
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|
\begin_layout Standard
|
|
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|
|
|
Quand on utilise le style de formules
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
Centré
|
|
|
|
|
|
\series default
|
|
|
|
|
|
, on utilise la méthode décrite dans
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:environnement-Flalign"
|
|
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|
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|
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|
|
\end_inset
|
|
|
|
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|
pour indenter les formules.
|
|
|
|
|
|
La formule
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand eqref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "eq:within"
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
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|
|
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|
|
consiste en cinq colonnes dont les deux premières contiennent l'équation,
|
|
|
|
|
|
la troisième la matrice et la dernière une accolade TeX vide.
|
|
|
|
|
|
\begin_inset Formula \begin{flalign}
|
2008-06-20 22:01:27 +00:00
|
|
|
|
\hspace{30pt}F_{A} & =\rho·V·g & \footnotesize\begin{array}{ll}
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\rho & \textrm{density}\\
|
|
|
|
|
|
V & \textrm{volume}\\
|
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|
|
g & \textrm{gravitational acceleration}\end{array} & & {}\label{eq:within}\end{flalign}
|
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|
\end_inset
|
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|
\end_layout
|
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|
\begin_layout Subsection
|
|
|
|
|
|
Lettres grecques minuscules droites
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset label
|
|
|
|
|
|
LatexCommand label
|
2008-02-12 22:22:36 +00:00
|
|
|
|
name "sub:minuscules-grecques-droites"
|
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|
\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
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|
Lettres grecques ! droites
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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|
\begin_layout Standard
|
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|
|
La plupart des polices de caractères mathématiques ne fournissent que des
|
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|
|
minuscules grecques italiques.
|
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|
|
|
Mais pour les symboles des particules élémentaires comme les pions et le
|
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|
|
|
neutrinos, on a besoin de lettre grecques droites.
|
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|
|
Elles sont fournies par le fichier
|
|
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|
|
\series bold
|
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|
upgreek.sty
|
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|
\series default
|
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|
\begin_inset Foot
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|
status collapsed
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\series bold
|
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|
upgreek
|
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|
\series default
|
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|
fait partie du paquetage LaTeX
|
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|
\series bold
|
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was
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|
\series default
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
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status collapsed
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|
\begin_layout Plain Layout
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|
Paquetages ! was
|
2008-05-09 23:48:55 +00:00
|
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|
\begin_inset ERT
|
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status collapsed
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\begin_layout Plain Layout
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\backslash
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|
vspace{4mm}
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|
\end_layout
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|
2008-03-28 01:54:17 +00:00
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\end_inset
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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.
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\end_layout
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\end_inset
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
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|
Paquetages ! upgreek
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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|
\end_inset
|
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|
|
qui est chargé avec la ligne suivante dans le préambule LaTeX:
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
\series bold
|
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|
\backslash
|
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|
usepackage{upgreek}
|
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|
\end_layout
|
|
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|
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|
\begin_layout Standard
|
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|
\begin_inset ERT
|
|
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|
|
status collapsed
|
|
|
|
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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\backslash
|
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|
ifupgreek
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
|
\begin_inset Note Note
|
|
|
|
|
|
status open
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Ce qui suit ne sera affiché que si le paquetage LaTeX
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
upgreek
|
|
|
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|
|
\series default
|
|
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|
|
|
est installé
|
|
|
|
|
|
\end_layout
|
|
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|
\end_inset
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On crée ces minuscules droites en commençant la commande pour une minuscule
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grecque par
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\series bold
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up
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\series default
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.
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Par exemple, la commande
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\series bold
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\backslash
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uptau
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\series default
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donne ceci:
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2008-06-20 22:01:27 +00:00
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\begin_inset Formula $\uptau$
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Avec ces commandes, on peut typographier des réactions entre particules
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élémentaires:
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\begin_inset Formula \[
|
2008-06-20 22:01:27 +00:00
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\uppi^{+}\to\upmu^{+}+\upnu_{\upmu}\]
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
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Les lettres droites sont plus grasses et plus larges que les italiques.
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On ne doit donc pas les utiliser pour des unités comme
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\begin_inset Quotes eld
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\end_inset
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µm
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\begin_inset Quotes erd
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\end_inset
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.
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\end_layout
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\begin_layout Standard
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
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2008-02-12 22:22:36 +00:00
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\backslash
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else
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\end_layout
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\end_inset
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\begin_inset Note Note
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status open
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Ce qui suit sera affiché si la paquetage LaTeX
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\series bold
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upgreek
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\series default
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n'est pas installé:
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Standard
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Vous avez besoin du paquetage LaTeX
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\series bold
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upgreek
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\series default
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pour voir le reste de cette sous section dans la sortie finale.
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\end_layout
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\begin_layout Standard
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\begin_inset ERT
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
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fi
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\end_layout
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\end_inset
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\end_layout
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\begin_layout Subsection
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Caractères texte dans les formules
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset label
|
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LatexCommand label
|
2008-02-12 22:22:36 +00:00
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name "sub:Caractères-texte"
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Texte ! dans les formules
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Standard
|
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|
Dans certains cas, vous pouvez vouloir insérer des caractères en mode texte
|
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|
|
directement dans des formules.
|
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|
|
|
Quand, par exemple, vous utilisez souvent le point centré · dans des formules
|
|
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|
|
du genre
|
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|
\begin_inset Formula $\nu=5·10^{5}\,\mathrm{Hz}$
|
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|
\end_inset
|
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, vous devrez insérer tout le temps la commande
|
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|
\series bold
|
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\backslash
|
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cdot
|
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|
\series default
|
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\begin_inset Foot
|
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status collapsed
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
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|
voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
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|
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|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Opérateurs-binaires"
|
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\end_inset
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\end_layout
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\end_inset
|
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|
, puisque ce caractère est défini dans tous les encodages comme un caractère
|
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|
texte.
|
|
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|
|
|
Mais l'encodage peut être modifié avec cette ligne dans le préambule LaTeX:
|
|
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|
\end_layout
|
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|
\begin_layout Standard
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\series bold
|
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\backslash
|
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|
Declare Inputtext{183}{
|
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\backslash
|
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|
ifmmode
|
|
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\backslash
|
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|
cdot
|
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|
\backslash
|
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|
else
|
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|
\backslash
|
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|
textperiodcentered
|
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|
\backslash
|
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|
f\SpecialChar \textcompwordmark{}
|
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|
i}
|
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|
\end_layout
|
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|
\begin_layout Standard
|
|
|
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|
|
En plus du point centré, dans ce document on a défini le symbole degré °
|
|
|
|
|
|
pour qu'il puisse être inséré directement dans une formule grâce à la ligne
|
|
|
|
|
|
suivante dans le préambule LaTeX:
|
|
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|
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|
\end_layout
|
|
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|
\begin_layout Standard
|
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|
\series bold
|
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|
\backslash
|
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|
DeclareInputtext{176}{
|
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|
\backslash
|
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|
|
ifmmode^
|
|
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|
\backslash
|
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|
circ
|
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|
\backslash
|
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|
else
|
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|
\backslash
|
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|
textdegree
|
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|
\backslash
|
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|
f\SpecialChar \textcompwordmark{}
|
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|
i}
|
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|
\end_layout
|
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|
\begin_layout Standard
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_inset Newpage newpage
|
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|
\end_inset
|
2008-02-12 22:22:36 +00:00
|
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|
\end_layout
|
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|
\begin_layout Section
|
|
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|
|
|
\start_of_appendix
|
|
|
|
|
|
Conseils Typographiques
|
2008-03-28 01:54:17 +00:00
|
|
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|
\begin_inset Index
|
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|
status collapsed
|
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|
\begin_layout Plain Layout
|
|
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|
|
Typographiques, conseils
|
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|
\end_layout
|
2008-02-12 22:22:36 +00:00
|
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\end_inset
|
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\end_layout
|
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|
\begin_layout Itemize
|
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|
|
Les symboles d'unités sont
|
|
|
|
|
|
\emph on
|
|
|
|
|
|
toujours
|
|
|
|
|
|
\emph default
|
|
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|
|
en caractères droits
|
|
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
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|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
obtenu avec les styles de polices, voir
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Styles-de-polices"
|
|
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|
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|
|
\end_inset
|
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\end_layout
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\end_inset
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
: 30
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
km/h
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
Entre la valeur numérique et l'unité on a la plus petite espace, voir
|
|
|
|
|
|
\begin_inset CommandInset ref
|
|
|
|
|
|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Espace-prédéfini"
|
|
|
|
|
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|
\end_inset
|
|
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.
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\end_layout
|
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|
|
|
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|
|
\begin_layout Itemize
|
|
|
|
|
|
Les symboles pourcent et les pour mille sont présentés comme les symboles
|
|
|
|
|
|
d'unités:
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_inset Newline newline
|
|
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|
|
|
\end_inset
|
|
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|
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|
|
1,2
|
2008-06-04 22:36:44 +00:00
|
|
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|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-04-08 09:19:59 +00:00
|
|
|
|
‰ d'alcool dans le sang
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Foot
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Le symbole pour mille est déconseillé par l'AFNOR (NdT).
|
|
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|
|
|
\end_layout
|
|
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\end_inset
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|
\end_layout
|
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|
|
\begin_layout Itemize
|
|
|
|
|
|
Le symbole degré suit directement la valeur numérique: 15°, sauf quand il
|
2008-03-28 01:54:17 +00:00
|
|
|
|
est utilisé dans une unité: 15
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
°C
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Itemize
|
|
|
|
|
|
Dans les nombres de plus de quatre chiffres, une espace fine est insérée
|
2008-03-28 01:54:17 +00:00
|
|
|
|
tous les trois chiffres pour les grouper: 18
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
473
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
588
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\begin_layout Itemize
|
2008-03-28 01:54:17 +00:00
|
|
|
|
Pour exprimer des dimensions comme par exemple 120×90×40
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \thinspace{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
cm on utilise le signe de la multiplication
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Quotes eld
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
×
|
|
|
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\begin_inset Quotes erd
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\end_inset
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.
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On peut l'obtenir avec la commande LaTeX
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\series bold
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\backslash
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texttimes
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\series default
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, mais il peut aussi être accessible directement sur certains claviers
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\begin_inset Foot
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status collapsed
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2008-03-28 01:54:17 +00:00
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\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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Par exemple sous Windows on l'obtient avec
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\family sans
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Alt-0215
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\family default
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(NdT).
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\end_layout
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\end_inset
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.
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\end_layout
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\begin_layout Itemize
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Les fonctions mathématiques dont le nom est composé de plusieurs lettres
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sont écrites en caractères droits pour éviter toute confusion, voir
|
2008-03-28 01:54:17 +00:00
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|
\begin_inset CommandInset ref
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LatexCommand ref
|
2008-02-12 22:22:36 +00:00
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reference "sub:Fonctions-prédéfinies"
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\end_inset
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.
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\end_layout
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\begin_layout Itemize
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Les indices composés de plusieurs caractères sont écrits en caractères droits:
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\begin_inset Formula $E_{\mathrm{kin}}$
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Newline newline
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\end_inset
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|
2008-02-12 22:22:36 +00:00
|
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|
Les composants de matrices sont en italiques:
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|
\begin_inset Formula $\hat{H}_{kl}$
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\end_inset
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\end_layout
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|
\begin_layout Itemize
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|
L'opérateur 'd' de différentiation/intégration, la constante d'Euler 'e',
|
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|
|
et la base des nombre imaginaires 'i' devraient être écrits en caractères
|
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|
droits pour éviter de les mélanger avec les autres variables.
|
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|
\end_layout
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|
\begin_layout Standard
|
2008-03-28 01:54:17 +00:00
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\begin_inset Newpage newpage
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\end_inset
|
2008-02-12 22:22:36 +00:00
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|
\end_layout
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|
\begin_layout Section
|
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|
|
Synonymes
|
2008-03-28 01:54:17 +00:00
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\begin_inset Index
|
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status collapsed
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\begin_layout Plain Layout
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|
Synonymes
|
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\end_layout
|
2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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|
\begin_layout Standard
|
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|
|
|
Certains caractères peuvent être obtenus en utilisant différentes commandes.
|
|
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|
|
|
Voici une liste de commandes synonymes:
|
|
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|
\end_layout
|
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|
\begin_layout Standard
|
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|
\begin_inset VSpace bigskip
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|
\end_inset
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|
2008-06-04 22:36:44 +00:00
|
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|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
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|
\end_inset
|
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|
2008-02-12 22:22:36 +00:00
|
|
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|
\begin_inset Tabular
|
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|
|
<lyxtabular version="3" rows="12" columns="2">
|
|
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|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
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|
<column alignment="center" valignment="top" width="0pt">
|
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|
|
<row>
|
|
|
|
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|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
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|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
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|
|
\end_layout
|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
est équivalente à
|
|
|
|
|
|
\begin_inset Note Note
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\series bold
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox est seulement utilisée pour faire de la place
|
|
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|
|
|
\end_layout
|
|
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|
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|
|
\end_inset
|
|
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|
|
\end_layout
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
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|
|
|
\backslash
|
|
|
|
|
|
ast
|
|
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|
|
\end_layout
|
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
raisebox{-1.2mm}{
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
*
|
|
|
|
|
|
\begin_inset ERT
|
|
|
|
|
|
status collapsed
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
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|
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|
|
\end_layout
|
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|
|
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|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
choose
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
binom
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
geq
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
ge
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lbrace
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
{
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
lbracket
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
[
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
leftarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
gets
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
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leq
|
|
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|
\end_layout
|
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|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
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|
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|
|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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|
\backslash
|
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le
|
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|
\end_layout
|
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|
\end_inset
|
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|
</cell>
|
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</row>
|
2008-03-28 01:54:17 +00:00
|
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|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
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|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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lor
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\end_layout
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|
\end_inset
|
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|
</cell>
|
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|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
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|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
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\backslash
|
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vee
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\end_layout
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|
\end_inset
|
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|
</cell>
|
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|
</row>
|
2008-03-28 01:54:17 +00:00
|
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|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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|
|
\begin_inset Text
|
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|
2008-03-28 01:54:17 +00:00
|
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|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
\backslash
|
|
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|
neq
|
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\end_layout
|
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|
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|
|
\end_inset
|
|
|
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|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
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|
|
\backslash
|
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|
not=
|
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|
\end_layout
|
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|
\end_inset
|
|
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|
|
</cell>
|
|
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|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
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|
|
|
slash
|
|
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|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
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|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
/
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
vert
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
|
|
|
|
|
</lyxtabular>
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
|
|
|
|
|
2008-06-04 22:36:44 +00:00
|
|
|
|
\begin_inset space \hfill{}
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\end_inset
|
|
|
|
|
|
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\begin_inset Tabular
|
|
|
|
|
|
<lyxtabular version="3" rows="12" columns="2">
|
|
|
|
|
|
<features>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
|
|
|
|
<row>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
Commande
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
2008-02-12 22:22:36 +00:00
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
est équivalente à
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
backslash
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dasharrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
dashrightarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
land
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
wedge
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
rbrace
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
}
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
rbracket
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
]
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
rightarrow
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
|
|
|
|
|
|
\begin_inset Text
|
|
|
|
|
|
|
2008-03-28 01:54:17 +00:00
|
|
|
|
\begin_layout Plain Layout
|
2008-02-12 22:22:36 +00:00
|
|
|
|
|
|
|
|
|
|
\backslash
|
|
|
|
|
|
to
|
|
|
|
|
|
\end_layout
|
|
|
|
|
|
|
|
|
|
|
|
\end_inset
|
|
|
|
|
|
</cell>
|
|
|
|
|
|
</row>
|
2008-03-28 01:54:17 +00:00
|
|
|
|
<row>
|
2008-02-12 22:22:36 +00:00
|
|
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
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<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
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\lang english
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2008-06-04 22:36:44 +00:00
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\begin_inset space \hfill{}
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\end_layout
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\begin_layout Standard
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\lang english
|
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\begin_inset Newpage newpage
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\begin_layout Bibliography
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\begin_inset CommandInset bibitem
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LatexCommand bibitem
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key "TLC2"
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\end_inset
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\shape smallcaps
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Mittelbach, F.
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; Goossens, M.
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\shape default
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\shape italic
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The LaTeX Companion
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\shape default
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Addison Wesley, 2004
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name "Description"
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target "ftp://ftp.dante.de/tex-archive/info/math/voss/mathmode/Mathmode.pdf"
|
2008-02-12 22:22:36 +00:00
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\end_inset
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des possibilités mathématiques de LaTeX
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key "Voss"
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name "Page"
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target "http://tug.org/TeXnik/"
|
2008-02-12 22:22:36 +00:00
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\end_inset
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2008-03-29 04:25:35 +00:00
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de trucs et astuces LaTeX
|
2008-02-12 22:22:36 +00:00
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key "AMS"
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name "Description"
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target "ftp://ftp.ams.org/pub/tex/doc/amsmath/amsldoc.pdf"
|
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de
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key "Symbole"
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name "Liste"
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target "ftp://ftp.dante.de/tex-archive/info/symbols/comprehensive/symbols-a4.pdf"
|
2008-02-12 22:22:36 +00:00
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de tous les symboles disponibles avec les paquetages LaTeX
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LatexCommand bibitem
|
2008-02-12 22:22:36 +00:00
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key "hyperref"
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name "Documentation"
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target "http://www.tug.org/applications/hyperref/ftp/doc/manual.pdf"
|
2008-02-12 22:22:36 +00:00
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paquetage LaTeX
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\series bold
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hyperref
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\series default
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2008-03-28 01:54:17 +00:00
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Paquetages ! hyperref
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2008-02-12 22:22:36 +00:00
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\begin_layout Bibliography
|
2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset bibitem
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LatexCommand bibitem
|
2008-02-12 22:22:36 +00:00
|
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|
key "Mathclap"
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\end_inset
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2008-03-29 04:25:35 +00:00
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|
|
name "Description"
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|
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|
target "http://www.tug.org/TUGboat/Articles/tb22-4/tb72perlS.pdf"
|
2008-02-12 22:22:36 +00:00
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\end_inset
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de la commande
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\series bold
|
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\backslash
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|
mathclap
|
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|
\series default
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|
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|
, décrite dans
|
2008-03-28 01:54:17 +00:00
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|
|
|
\begin_inset CommandInset ref
|
|
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|
LatexCommand ref
|
2008-02-12 22:22:36 +00:00
|
|
|
|
reference "sub:Limites-des-opérateurs"
|
|
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\end_inset
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2008-03-28 01:54:17 +00:00
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\begin_inset Index
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status collapsed
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\begin_layout Plain Layout
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Commandes ! M !
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\backslash
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mathclap
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\end_layout
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\begin_layout Bibliography
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset bibitem
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LatexCommand bibitem
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2008-02-12 22:22:36 +00:00
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key "Duden"
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\end_inset
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\emph on
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Duden Band 1
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\emph default
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.
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22.
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Auflage, Duden 2001
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\end_layout
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\begin_layout Subsubsection*
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2008-03-28 01:54:17 +00:00
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\begin_inset CommandInset index_print
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LatexCommand printindex
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2008-02-12 22:22:36 +00:00
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\end_inset
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\end_layout
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\end_body
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\end_document
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