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792 lines
16 KiB
Plaintext
792 lines
16 KiB
Plaintext
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#LyX 2.0 created this file. For more info see http://www.lyx.org/
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\lyxformat 413
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\begin_document
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\begin_header
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\textclass article
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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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%\IfFileExists{lmodern.sty}
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{\usepackage{lmodern}}{}
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\fi % end if pdflatex is used
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% increase link area for cross-references and autoname them,
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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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% wird benutzt, um Tabellenzellen zu vergrosern
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\@ifundefined{extrarowheight}
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{\usepackage{array}}{}
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\setlength{\extrarowheight}{5pt}
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\end_preamble
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\use_default_options true
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\maintain_unincluded_children false
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\language japanese
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\language_package default
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\inputencoding auto
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\font_tt_scale 100
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\graphics default
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\paperfontsize 12
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\spacing single
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\use_hyperref true
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\pdf_title "Feynman Diagrams"
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\pdf_author "LyX Team, Uwe Stohr, Ronen Abravanel"
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\pdf_bookmarks true
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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"
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\papersize a4paper
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\use_geometry false
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\use_amsmath 1
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\use_esint 1
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\use_mhchem 1
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\use_mathdots 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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\suppress_date false
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\use_refstyle 0
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\index Index
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\shortcut idx
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\color #008000
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\end_index
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\secnumdepth 3
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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 1
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\paperpagestyle default
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\html_be_strict false
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\end_header
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\begin_body
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\begin_layout Title
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ファインマン図
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\end_layout
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\begin_layout Standard
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ファインマン図（
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\noun on
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Feynman
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\noun default
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diagram）を利用するためには、LaTeXパッケージ
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\series bold
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feyn
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\series default
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を導入しておく必要があります。ファインマン図は、数式中にコマンド
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\series bold
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\backslash
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Diagram
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\series default
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を挿入することで作ることができます。すると、新しい行列を通常の行列と同じようにして作ることができます。
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\end_layout
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\begin_layout Standard
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以下に示すように、「分子」や「伝搬関数」として振る舞うコマンドを、行列の項目として入力することができます。
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\end_layout
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\begin_layout Standard
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<column alignment="center" valignment="middle" width="25col%">
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<column alignment="center" valignment="middle" width="20col%">
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\begin_layout Plain Layout
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コマンド
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\end_layout
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説明
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例
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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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\begin_layout Plain Layout
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出力
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\end_layout
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\end_inset
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</row>
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<row>
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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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f,g,h
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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_layout Plain Layout
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\noindent
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\align left
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フェルミ粒子・光子・ ゴースト伝搬関数
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\end_layout
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\end_inset
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<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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\begin_layout Plain Layout
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\begin_inset Tabular
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<lyxtabular version="3" rows="1" columns="3">
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<features tabularvalignment="middle">
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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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<column alignment="center" valignment="top" width="0">
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<row>
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<cell alignment="center" valignment="top" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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f
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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" rightline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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g
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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" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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h
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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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\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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\begin_layout Plain Layout
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\begin_inset Formula $\Diagram{f & g & h}
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$
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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>
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<row>
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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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fu,fd,fv (gu,gd,gv)
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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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\noindent
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\align left
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上向き・下向き・垂直のフェルミ粒子・光子
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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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\begin_inset Tabular
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<lyxtabular version="3" rows="2" columns="3">
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<features tabularvalignment="middle">
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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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<column alignment="center" valignment="middle" width="0">
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<row>
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<cell alignment="center" valignment="top" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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fd
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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" leftline="true" usebox="none">
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\begin_inset Text
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\begin_layout Plain Layout
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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" leftline="true" usebox="none">
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\begin_inset Text
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|||
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\begin_layout Plain Layout
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gu
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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" usebox="none">
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\begin_inset Text
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|||
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\begin_layout Plain Layout
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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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|||
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\begin_layout Plain Layout
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fv
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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" usebox="none">
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\begin_inset Text
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|||
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\begin_layout Plain Layout
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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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|||
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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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|||
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|||
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\begin_layout Plain Layout
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|||
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\begin_inset Formula $\Diagram{fd & & gu\\
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& fv
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}
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$
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\end_inset
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|||
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|||
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\end_layout
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\end_inset
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|||
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</cell>
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|||
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</row>
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<row>
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|||
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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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|||
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|||
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\begin_layout Plain Layout
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|
|
fA,fV
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\noindent
|
|||
|
|
\align left
|
|||
|
|
AおよびVは、左ないし上向きの矢印や、右ないし下向きの矢印を生成する修飾子
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\begin_inset Tabular
|
|||
|
|
<lyxtabular version="3" rows="2" columns="3">
|
|||
|
|
<features tabularvalignment="middle">
|
|||
|
|
<column alignment="center" valignment="top" width="0">
|
|||
|
|
<column alignment="center" valignment="top" width="0">
|
|||
|
|
<column alignment="center" valignment="middle" width="0">
|
|||
|
|
<row>
|
|||
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
fdA
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
fuV
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
</row>
|
|||
|
|
<row>
|
|||
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
gvV
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
</row>
|
|||
|
|
</lyxtabular>
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\begin_inset Formula $\Diagram{fdA & & fuV\\
|
|||
|
|
& gvV
|
|||
|
|
}
|
|||
|
|
$
|
|||
|
|
\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
|
|||
|
|
fl,glB,glS,fl1,gl2など
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\noindent
|
|||
|
|
\align left
|
|||
|
|
フェルミ粒子ループ・光子ループ
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\begin_inset Tabular
|
|||
|
|
<lyxtabular version="3" rows="2" columns="3">
|
|||
|
|
<features tabularvalignment="middle">
|
|||
|
|
<column alignment="center" valignment="top" width="0">
|
|||
|
|
<column alignment="center" valignment="top" width="0">
|
|||
|
|
<column alignment="center" valignment="middle" width="0">
|
|||
|
|
<row>
|
|||
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
f
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
gl
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
</row>
|
|||
|
|
<row>
|
|||
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
f
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
f
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
</row>
|
|||
|
|
</lyxtabular>
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
|
|||
|
|
\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
|
|||
|
|
\begin_inset Formula $\Diagram{f & gl\\
|
|||
|
|
& f & f
|
|||
|
|
}
|
|||
|
|
$
|
|||
|
|
\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
|
|||
|
|
momentum{ch}{文字列}
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\noindent
|
|||
|
|
\align left
|
|||
|
|
分子運動量の指定
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\begin_inset Formula $\backslash{\rm momentum}\{fA\}\{\vec{p\}}$
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
|
|||
|
|
\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
|
|||
|
|
\begin_inset Formula $\Diagram{\momentum{fA}{\vec{p}}}
|
|||
|
|
$
|
|||
|
|
\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
|
|||
|
|
vertexlabel{p}{文字列}
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\noindent
|
|||
|
|
\align left
|
|||
|
|
頂点ラベル（vertex label）。頂点の上にラベルを付けるときは
|
|||
|
|
\emph on
|
|||
|
|
p
|
|||
|
|
\emph default
|
|||
|
|
は^、下に付けるときは_
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\begin_inset Tabular
|
|||
|
|
<lyxtabular version="3" rows="2" columns="1">
|
|||
|
|
<features tabularvalignment="middle">
|
|||
|
|
<column alignment="center" valignment="top" width="0">
|
|||
|
|
<row>
|
|||
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\begin_inset Formula $\backslash{\rm vertexlabel}^{e^{+}}fA$
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
</row>
|
|||
|
|
<row>
|
|||
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\begin_inset Formula $fglS\backslash{\rm vertexlabel}_{\gamma}$
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
</row>
|
|||
|
|
</lyxtabular>
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
|
|||
|
|
\begin_inset Text
|
|||
|
|
|
|||
|
|
\begin_layout Plain Layout
|
|||
|
|
\begin_inset Formula $\Diagram{\vertexlabel^{{\rm e^{+}}}fA\\
|
|||
|
|
fglS\vertexlabel_{\gamma}
|
|||
|
|
}
|
|||
|
|
$
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
</cell>
|
|||
|
|
</row>
|
|||
|
|
</lyxtabular>
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\begin_layout Standard
|
|||
|
|
これらは、
|
|||
|
|
\series bold
|
|||
|
|
feyn
|
|||
|
|
\series default
|
|||
|
|
パッケージのオプションの一部に過ぎません。ユーザーの手引きは
|
|||
|
|
\begin_inset CommandInset citation
|
|||
|
|
LatexCommand cite
|
|||
|
|
key "Feyn"
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
にあります。
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\begin_layout Bibliography
|
|||
|
|
\labelwidthstring References
|
|||
|
|
\begin_inset CommandInset bibitem
|
|||
|
|
LatexCommand bibitem
|
|||
|
|
key "Feyn"
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
LaTeXパッケージ
|
|||
|
|
\series bold
|
|||
|
|
feyn
|
|||
|
|
\series default
|
|||
|
|
の
|
|||
|
|
\begin_inset CommandInset href
|
|||
|
|
LatexCommand href
|
|||
|
|
name "取扱説明書"
|
|||
|
|
target "http://mirror.ctan.org/fonts/feyn/feyn.pdf"
|
|||
|
|
|
|||
|
|
\end_inset
|
|||
|
|
|
|||
|
|
|
|||
|
|
\end_layout
|
|||
|
|
|
|||
|
|
\end_body
|
|||
|
|
\end_document
|