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100 \font_tt_scale 100 100 \use_microtype false \use_dash_ligatures false \graphics default \default_output_format pdf2 \output_sync 0 \bibtex_command default \index_command makeindex \float_placement class \float_alignment class \paperfontsize 12 \spacing single \use_hyperref true \pdf_title "LyX's Math Manual" \pdf_author "LyX Team, Uwe Stöhr" \pdf_subject "LyX-documentation about math" \pdf_keywords "LyX, Mathed" \pdf_bookmarks true \pdf_bookmarksnumbered true \pdf_bookmarksopen true \pdf_bookmarksopenlevel 1 \pdf_breaklinks false \pdf_pdfborder false \pdf_colorlinks true \pdf_backref false \pdf_pdfusetitle false \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false" \papersize a4 \use_geometry false \use_package amsmath 2 \use_package amssymb 2 \use_package cancel 1 \use_package esint 1 \use_package mathdots 1 \use_package mathtools 2 \use_package mhchem 1 \use_package stackrel 1 \use_package stmaryrd 1 \use_package undertilde 0 \cite_engine basic \cite_engine_type default \biblio_style plain \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false \justification true \use_refstyle 0 \use_formatted_ref 0 \use_minted 0 \use_lineno 0 \notefontcolor #0000ff \index Index \shortcut idx \color #008000 \end_index \secnumdepth 4 \tocdepth 3 \paragraph_separation skip \defskip halfline \is_math_indent 0 \math_numbering_side default \quotes_style english \dynamic_quotes 0 \papercolumns 1 \papersides 2 \paperpagestyle plain \tablestyle default \bullet 1 0 6 -1 \bullet 2 2 35 -1 \bullet 3 2 7 -1 \tracking_changes false \output_changes false \change_bars false \postpone_fragile_content false \html_math_output 0 \html_css_as_file 0 \html_be_strict false \docbook_table_output 0 \docbook_mathml_prefix 1 \end_header \begin_body \begin_layout Title \SpecialChar LyX 's Detailed Math Manual \end_layout \begin_layout Author by the \SpecialChar LyX Team \begin_inset Foot status collapsed \begin_layout Plain Layout \noindent If you have comments or error corrections, please send them to the \SpecialChar LyX Documentation mailing list: \family typewriter \begin_inset CommandInset href LatexCommand href name "lyx-docs@lists.lyx.org" target "lyx-docs@lists.lyx.org?subject=LyX's Math manual" type "mailto:" literal "false" \end_inset \end_layout \end_inset \begin_inset Note Note status collapsed \begin_layout Plain Layout author: Uwe Stöhr \end_layout \end_inset \begin_inset Newline newline \end_inset \begin_inset Newline newline \end_inset \family sans Version 2.4.x \end_layout \begin_layout Standard \begin_inset CommandInset toc LatexCommand tableofcontents \end_inset \end_layout \begin_layout Standard \begin_inset Note Note status open \begin_layout Plain Layout To export this document to PDF, PS or DVI the \SpecialChar LaTeX -packages \series bold braket, cancel, eurosym, mathdots, mathtools, mhchem, undertilde \series default and \series bold was \series default should be installed. If they are not installed the document can be exported anyway but the sections where the packages are required will not appear in the output. An exception is \series bold mhchem \series default ; if it is not installed, this file cannot be exported. \end_layout \begin_layout Plain Layout The latest PDF-version of this document can be found here: \begin_inset Newline newline \end_inset \series bold https://wiki.lyx.org/LyX/Manuals#Math \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Newpage newpage \end_inset \end_layout \begin_layout Section Introduction \end_layout \begin_layout Standard This document details \SpecialChar LyX 's math features and the \SpecialChar LaTeX -commands used for mathematical characters and constructs. It is oriented toward the use of commands. The user should read the \family typewriter Mathematical \begin_inset space ~ \end_inset Formulas \family default section of the User's Guide before proceeding. \end_layout \begin_layout Standard Most of the characters and many constructs explained in this manual are also accessible via the menu \family sans Insert \series bold \SpecialChar menuseparator \series default Math \family default or the \family sans math \family default \series bold \family sans \series default toolbar \family default . But everybody who has to write lots of formulas will notice that it is much faster to use commands instead of the math toolbar. Therefore this manual is focused on commands but also mentions the corresponding toolbar buttons when available. \end_layout \begin_layout Standard Unless specially mentioned, math commands are only available within formulas. To be able to use all of the commands explained in this document, the option \family sans Use AMS math package \family default must be checked in the document settings (menu \family sans Document\SpecialChar menuseparator Settings\SpecialChar menuseparator Math \begin_inset space ~ \end_inset Options \family default ). \begin_inset Foot status collapsed \begin_layout Plain Layout The option \family sans Use AMS math package automatically \family default only uses \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash AmS \end_layout \end_inset -math when math constructs are found that are supported by \SpecialChar LyX . \end_layout \end_inset \end_layout \begin_layout Standard This document doesn't list all \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash AmS \end_layout \end_inset -math commands \begin_inset Foot status open \begin_layout Plain Layout A list containing all \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash AmS \end_layout \end_inset -math commands is in the file \family sans \begin_inset CommandInset href LatexCommand href name "amsguide.pdf" target "https://www.ctan.org/tex-archive/macros/amstex/doc/amsguide.pdf" literal "false" \end_inset \family default , which is part of every \SpecialChar LaTeX standard installation. \end_layout \end_inset for lucidity reasons. \end_layout \begin_layout Section General Instructions \end_layout \begin_layout Standard To create an inline formula \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout inline \end_layout \end_inset \end_layout \end_inset that is embedded in a text line, use one of the shortcuts \begin_inset Info type "shortcuts" arg "math-mode" \end_inset or the toolbar button \begin_inset Info type "icon" arg "math-mode" \end_inset . \begin_inset Newline newline \end_inset To create a display style formula \begin_inset Index idx range none pageformat default status open \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout display style \end_layout \end_inset \end_layout \end_inset which will appear bigger, has a different format, and will be in a separate paragraph, use one of these shortcuts: \begin_inset Info type "shortcuts" arg "math-display" \end_inset . \end_layout \begin_layout Standard To change a display style formula to an inline formula, place the cursor inside the formula and use the shortcut \begin_inset Info type "shortcuts" arg "math-mutate simple" \end_inset or the menu \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Change formula type \family default . Similarly you can use the shortcut \begin_inset Info type "shortcuts" arg "math-mutate equation" \end_inset to change from an inline to a display style formula. \end_layout \begin_layout Standard To display parts of an inline formula in the size of a display style formula, enter the command \series bold \backslash displaystyle \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout D \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash displaystyle \end_layout \end_inset \end_layout \end_inset in a formula. A new blue box will appear in which the desired formula part is inserted. \end_layout \begin_layout Standard Only inline formulas are allowed inside tables. \end_layout \begin_layout Standard \family sans Math toolbar \family default visibility is controlled in the menu \family sans View\SpecialChar menuseparator Toolbars\SpecialChar menuseparator Math \family default . Three options will be presented, On, Off, and Automatic. Selecting On will cause the toolbar to be shown permanently at the bottom of the screen. Selecting Off will disable the toolbar. Selecting Automatic will cause the toolbar to automatically appear when the cursor is located within a formula. The active state of the toolbar is indicated by a checkmark next to the current menu selection. \begin_inset Note Note status open \begin_layout Plain Layout The menu functionality appears to have changed, I rewrote the paragraph for the current functionality \end_layout \end_inset \end_layout \begin_layout Standard \SpecialChar TeX mode \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout \begin_inset IndexMacro sortkey status open \begin_layout Plain Layout T \end_layout \end_inset \SpecialChar TeX -mode \end_layout \end_inset is invoked by pressing the toolbar button \begin_inset Info type "icon" arg "ert-insert" \end_inset or by using the menu \family sans Insert\SpecialChar menuseparator TeX Code \family default (shortcut \begin_inset Info type "shortcut" arg "ert-insert" \end_inset ). \end_layout \begin_layout Standard To change the \SpecialChar LaTeX -preamble \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout \begin_inset IndexMacro sortkey status open \begin_layout Plain Layout L \end_layout \end_inset \SpecialChar LaTeX -preamble \end_layout \end_inset , use the menu \family sans Document\SpecialChar menuseparator Settings\SpecialChar menuseparator LaTeX \family default \family sans Preamble \family default . \end_layout \begin_layout Standard To edit matrices, case differentiations and multiline formulas, use the menus \family sans Edit\SpecialChar menuseparator Math \family default and \family sans Edit\SpecialChar menuseparator Rows \begin_inset space \thinspace{} \end_inset & \begin_inset space \thinspace{} \end_inset Columns, \family default or the \family sans table toolbar \family default . When lines and columns are swapped via the menu, the column or line where the cursor is in is exchanged with the column to the right or the line below, respectively. If the cursor is in the last column or row, the exchange is done with the column to the left or the line above. \end_layout \begin_layout Standard To write text in formulas \begin_inset Foot status collapsed \begin_layout Plain Layout For multiline formulas the command \series bold \backslash intertext \series default is used, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Text-in-multiline" nolink "false" \end_inset . \end_layout \end_inset \emph on mathematical text \emph default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Text \begin_inset IndexMacro subentry status open \begin_layout Plain Layout in formulas \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Mathematical text \end_layout \end_inset is used. This mode is invoked with the shortcut \begin_inset Info type "shortcut" arg "font-default" \end_inset or by the insertion of the command \series bold \backslash text \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout T \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash text \end_layout \end_inset \end_layout \end_inset . The text appears black in \SpecialChar LyX and can therefore be distinguished from the other formula parts which appear blue. In the output, mathematical text is set upright contrary to other formula parts. \end_layout \begin_layout Subsection* Command Scheme \end_layout \begin_layout Standard Most \SpecialChar LaTeX -commands for math constructs have the following syntax: \end_layout \begin_layout Standard \series bold \backslash commandname[optional \series default \series bold argument]{required \series default \series bold argument} \end_layout \begin_layout Standard A command always starts with a backslash \begin_inset Quotes gld \end_inset \series bold \backslash \series default \begin_inset Quotes grd \end_inset . To omit the \series bold optional \series default \series bold argument \series default s, also omit the associated brackets. The braces around the \series bold required \series default \series bold arguments \series default are referred to in this document as \SpecialChar TeX braces \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout \begin_inset IndexMacro sortkey status open \begin_layout Plain Layout T \end_layout \end_inset \SpecialChar TeX -braces \end_layout \end_inset . If you append a left brace to a command name inside a formula, \SpecialChar LyX automatically creates a right \SpecialChar TeX brace. In all other cases standalone \SpecialChar TeX braces are created in formulas with the command \series bold \backslash { \series default . Normal braces are created by typing \series bold { \series default . \SpecialChar TeX braces appear red in \SpecialChar LyX , normal braces appear blue. In \SpecialChar TeX mode a command is not needed to get \SpecialChar TeX braces. \SpecialChar TeX braces don't appear in the output while normal braces do. \end_layout \begin_layout Standard When commands without arguments, like commands for symbols, are entered in \SpecialChar TeX mode, a space character must \emph on always \emph default be behind the command to end it. This space doesn't appear in the output. When the space should appear in the output, the space must be followed by a non-breaking space in normal text. \end_layout \begin_layout Standard A non-breaking space is inserted with \begin_inset Info type "shortcuts" arg "command-alternatives math-space ; space-insert protected" \end_inset or with the menu selection \family sans Insert\SpecialChar menuseparator Formatting\SpecialChar menuseparator Non-Breaking Normal Space \family default or \family sans Ctrl+Space \family default . \end_layout \begin_layout Subsection* \begin_inset Newpage newpage \end_inset Explanation of Syntax Used in this Manual \end_layout \begin_layout Itemize The symbol \begin_inset space \textvisiblespace{} \end_inset denotes a space character to be input by the user. \end_layout \begin_layout Itemize An arrow like \begin_inset Formula $\to$ \end_inset denotes the usage of the corresponding arrow key on the keyboard. The \family sans Tab \family default key can often be used instead of \begin_inset Formula $\to$ \end_inset and \begin_inset Formula $\downarrow$ \end_inset , and \family sans Shift+Tab \family default instead of \begin_inset Formula $\leftarrow$ \end_inset and \begin_inset Formula $\uparrow$ \end_inset . \end_layout \begin_layout Subsection* Available Units \end_layout \begin_layout Standard \align center \begin_inset Float table placement H alignment document wide false sideways false status open \begin_layout Plain Layout \align center \begin_inset Caption Standard \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "tab:Available-units" \end_inset Available units \end_layout \end_inset \end_layout \begin_layout Plain Layout \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Unit \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Name / Description \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout mm \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Millimeter \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout cm \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Centimeter \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout in \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Inch (1 \begin_inset space \thinspace{} \end_inset in = 2.54 \begin_inset space \thinspace{} \end_inset cm) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout pt \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Point (72.27 \begin_inset space \thinspace{} \end_inset pt = 1 \begin_inset space \thinspace{} \end_inset in) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout pc \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Pica (1 \begin_inset space \thinspace{} \end_inset pc = 12 \begin_inset space \thinspace{} \end_inset pt) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout sp \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout scaled point (65536 \begin_inset space \thinspace{} \end_inset sp = 1 \begin_inset space \thinspace{} \end_inset pt) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout bp \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout big point (72 \begin_inset space \thinspace{} \end_inset bp = 1 \begin_inset space \thinspace{} \end_inset in) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout dd \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Didot (1 \begin_inset space \thinspace{} \end_inset dd \begin_inset Formula $\approx$ \end_inset 0.376 \begin_inset space \thinspace{} \end_inset mm) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout cc \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Cicero (1 \begin_inset space \thinspace{} \end_inset cc = 12 \begin_inset space \thinspace{} \end_inset dd) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout ex \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Height of letter \emph on \begin_inset Quotes eld \end_inset x \emph default \begin_inset Quotes erd \end_inset in the current font \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout em \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout width of letter \begin_inset Quotes eld \end_inset \emph on M \emph default \begin_inset Quotes erd \end_inset in the current font \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout mu \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout math unit (1 \begin_inset space \thinspace{} \end_inset mu = \begin_inset Formula $\nicefrac{1}{18}$ \end_inset \begin_inset space \thinspace{} \end_inset em) \end_layout \end_inset \end_inset \end_layout \end_inset \end_layout \begin_layout Section Basic Functions \end_layout \begin_layout Subsection Exponents \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Exponents \end_layout \end_inset and Indices \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Indices \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Superscripts \begin_inset IndexMacro see status open \begin_layout Plain Layout Exponents \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Subscripts \begin_inset IndexMacro see status open \begin_layout Plain Layout Indices \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Indices are created with an underscore \begin_inset Quotes eld \end_inset _ \begin_inset Quotes erd \end_inset or via the math toolbar button \begin_inset Info type "icon" arg "math-subscript" \end_inset , exponents with a caret \begin_inset Quotes eld \end_inset ^ \begin_inset Quotes erd \end_inset or via the math toolbar button \begin_inset Info type "icon" arg "math-superscript" \end_inset . \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout B_V \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $B_{V}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout B^V \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $B^{V}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout B^ \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $B^{A}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard As the caret is in some languages an accent, vowels will be accentuated in this case and not set as exponents \begin_inset Foot status open \begin_layout Plain Layout Depending on the keyboard settings used this can also happen for characters other than vowels. \end_layout \end_inset . To get exponents in this case, press \family sans Space \family default after the caret as in the last example. \end_layout \begin_layout Subsection Fractions \begin_inset CommandInset label LatexCommand label name "subsec:Fractions" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Fractions \end_layout \end_inset \end_layout \begin_layout Standard Fractions are generated with the command \series bold \backslash frac \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout F \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash frac \end_layout \end_inset \end_layout \end_inset or via the math toolbar button \begin_inset Info type "icon" arg "math-insert \\frac" \end_inset . The font size is adjusted automatically, depending on whether the fraction is in an inline or display style formula. With the math toolbar button \begin_inset Info type "icon" arg "math-insert \\frac-square" \end_inset you can select different fraction types. \end_layout \begin_layout Standard With the command \series bold \backslash dfrac \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout D \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash dfrac \end_layout \end_inset \end_layout \end_inset a fraction can be created that always has the size of a display style formula. With \series bold \backslash tfrac \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout T \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash tfrac \end_layout \end_inset \end_layout \end_inset the fraction appears always with the size of an inline formula. An example: \end_layout \begin_layout Standard A line with the fraction \begin_inset Formula $\frac{1}{2}$ \end_inset that was created with the command \series bold \backslash frac \series default . \end_layout \begin_layout Standard A line with the fraction \begin_inset Formula $\dfrac{1}{2}$ \end_inset that was created with the command \series bold \backslash dfrac \series default . \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash frac \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\frac{A}{B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dfrac \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dfrac{A}{B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dfrac \begin_inset space \textvisiblespace{} \end_inset e^ \backslash frac \begin_inset space \textvisiblespace{} \end_inset 1 \begin_inset Formula $\downarrow$ \end_inset 2 \begin_inset Formula $\downarrow\downarrow$ \end_inset 3 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dfrac{e^{\frac{1}{2}}}{3}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset \begin_inset Newpage newpage \end_inset For nested fractions the command \series bold \backslash cfrac \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout C \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash cfrac \end_layout \end_inset \end_layout \end_inset can be used. Here is an example: \begin_inset VSpace -3mm \end_inset \end_layout \begin_layout Standard \begin_inset Formula \begin{align*} \textrm{created with \textbf{\textbackslash frac}} & & \textrm{created with \textbf{\textbackslash cfrac}}\\ \frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}} \end{align*} \end_inset \end_layout \begin_layout Standard The command for the example above is: \end_layout \begin_layout Standard \series bold \backslash cfrac \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B+ \backslash cfrac \begin_inset space \textvisiblespace{} \end_inset C+ \backslash cfrac \begin_inset space \textvisiblespace{} \end_inset E \begin_inset Formula $\downarrow$ \end_inset F \begin_inset Formula $\downarrow$ \end_inset D \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard \series bold \backslash cfrac \series default always sets the fraction size to that of a displayed formula, even when it is part of another fraction. \end_layout \begin_layout Standard It is possible to specify the alignment of the numerator. The command \series bold \backslash cfracleft \series default is used to left align it, the command \series bold \backslash cfracright \series default to right-align it. \series bold \backslash cfrac \series default centers the numerator. These fractions demonstrate the different alignments: \end_layout \begin_layout Standard \series bold \begin_inset Formula \[ \cfrac[l]{A}{B+C}\,,\,\cfrac{A}{B+C}\,,\,\cfrac[r]{A}{B+C} \] \end_inset \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default \series bold \backslash cfracleft \series default and \series bold \backslash cfracright \series default are not real \SpecialChar LaTeX commands but represent the command \series bold \backslash cfrac[alignment]{numerator}{denominator} \series default . Therefore you cannot use them in \SpecialChar TeX code. \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset It is often advantageous to combine \series bold \backslash cfrac \series default and \series bold \backslash frac \series default : \begin_inset Formula \[ \cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}} \] \end_inset \end_layout \begin_layout Standard For inline fractions with a sloped fraction stroke you can use the command \series bold \backslash nicefrac \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout N \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash nicefrac \end_layout \end_inset \end_layout \end_inset : \begin_inset Formula $\nicefrac{5}{31}$ \end_inset or \series bold \backslash unitfrac \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout U \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash unitfrac \end_layout \end_inset \end_layout \end_inset : \begin_inset Formula $\unitfrac{5}{31}$ \end_inset There is also the command \series bold \backslash unitfracthree \series default which allows you to write a fraction in combination with a number: \begin_inset Formula $\unitfrac[2]{1}{3}$ \end_inset \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default \series bold \backslash unitfracthree \series default is not a real \SpecialChar LaTeX command but the command \begin_inset Newline newline \end_inset \series bold \backslash unitfrac[number]{numerator}{denominator} \series default . Therefore you cannot use it in \SpecialChar TeX code. \end_layout \end_inset \end_layout \begin_layout Standard How to define your own fractions where the fraction stroke can be changed is explained in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Self-defined-Fractions" nolink "false" \end_inset . \end_layout \begin_layout Standard Multiline fractions are explained in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Multiline-Fractions" nolink "false" \end_inset . \end_layout \begin_layout Subsection Roots \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Roots \end_layout \end_inset \end_layout \begin_layout Standard Square roots are created with \series bold \backslash sqrt \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash sqrt \end_layout \end_inset \end_layout \end_inset or the math toolbar button \begin_inset Info type "icon" arg "math-insert \\sqrt" \end_inset , all other roots with the command \series bold \backslash root \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash root \end_layout \end_inset \end_layout \end_inset or with the math toolbar button \begin_inset Info type "icon" arg "math-insert \\root" \end_inset . \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sqrt \begin_inset space \textvisiblespace{} \end_inset A-B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sqrt{A-B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash root \begin_inset space \textvisiblespace{} \end_inset 3 \begin_inset Formula $\downarrow$ \end_inset A-B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sqrt[3]{A-B}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard A square root can also be created with \series bold \backslash root \series default when the root index field is left empty. \end_layout \begin_layout Standard With certain indices the distance to the root is too small, like in this formula: \begin_inset Formula $\sqrt[\beta]{B}$ \end_inset \begin_inset Newline newline \end_inset The \begin_inset Formula $\beta$ \end_inset touches the root. To avoid this, the commands \series bold \backslash leftroot \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout L \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash leftroot \end_layout \end_inset \end_layout \end_inset and \series bold \backslash uproot \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout U \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash uproot \end_layout \end_inset \end_layout \end_inset are used with the following scheme: \end_layout \begin_layout Standard \series bold \backslash leftroot{distance} \series default and \series bold \backslash uproot{distance} \end_layout \begin_layout Standard Distance is the number of Big Points (unit bp; \begin_inset Formula $\mathrm{72\,bp=1\,inch}$ \end_inset ), that the index should be moved to the left or up, resp.. The commands are written to the index. This way the command \begin_inset Newline newline \end_inset \series bold \backslash root \backslash leftroot{-1 \begin_inset Formula $\to$ \end_inset \backslash uproot{2 \begin_inset Formula $\to$ \end_inset \backslash beta \begin_inset space \textvisiblespace{} \end_inset \begin_inset Formula $\to$ \end_inset B \begin_inset Newline newline \end_inset \series default produces a correct typeset formula: \begin_inset Formula $\sqrt[\leftroot{-1}\uproot{2}\beta]{B}$ \end_inset \end_layout \begin_layout Subsection Binomial Coefficients \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Binomial coefficients \end_layout \end_inset \end_layout \begin_layout Standard Binomial coefficients are inserted with the command \series bold \backslash binom \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout B \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash binom \end_layout \end_inset \end_layout \end_inset or with the submenu of the math toolbar button \begin_inset Info type "icon" arg "math-insert \\frac-square" \end_inset . As with fractions ( \series bold \backslash frac \series default ) in addition to \series bold \backslash binom \series default there are the commands \series bold \backslash dbinom \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout D \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash dbinom \end_layout \end_inset \end_layout \end_inset and \series bold \backslash tbinom \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout T \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash tbinom \end_layout \end_inset \end_layout \end_inset . For other brackets around binomial coefficients there are the commands \series bold \backslash brace \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout B \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash brace \end_layout \end_inset \end_layout \end_inset and \series bold \backslash brack \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout B \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash brack \end_layout \end_inset \end_layout \end_inset . \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash binom \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\binom{A}{B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dbinom \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dbinom{A}{B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash tbinom \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\tbinom{A}{B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash brack \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula ${A \brack B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash brace \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula ${A \brace B}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Subsection Case Differentiations \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Case differentiations \end_layout \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cases \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\to$ \end_inset B>0 \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout C \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash cases \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\begin{cases} A & B>0\end{cases}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cases \begin_inset space \textvisiblespace{} \end_inset \begin_inset Info type "shortcut" arg "newline-insert newline" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\begin{cases} A & \textrm{for }x>0\\ B & \textrm{for }x=0 \end{cases}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard After inserting \series bold \backslash cases \series default or pressing the math toolbar button \begin_inset Info type "icon" arg "math-insert \\cases" \end_inset you can create new lines with the shortcut \begin_inset Info type "shortcut" arg "newline-insert newline" \end_inset or the table toolbar button \begin_inset Info type "icon" arg "tabular-feature append-row" \end_inset . \end_layout \begin_layout Standard The command \series bold \backslash cases \series default is also available via the menu \family sans Insert\SpecialChar menuseparator Math\SpecialChar menuseparator Cases-Environment \family default . \end_layout \begin_layout Subsection Negations \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Negations \end_layout \end_inset \end_layout \begin_layout Standard By inserting \series bold \backslash not \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout N \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash not \end_layout \end_inset \end_layout \end_inset every character can be displayed canceled. The characters are quasi accentuated by a slash. \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash not= \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\not=$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash not \backslash le \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\not\le$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash not \backslash parallel \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\not\parallel$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard The last example shows that not all negations look good. Therefore there are special commands for some negations (see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Mathematical-Symbols" nolink "false" \end_inset and \begin_inset CommandInset ref LatexCommand ref reference "sec:Relations" nolink "false" \end_inset ). \end_layout \begin_layout Subsection Placeholders \begin_inset CommandInset label LatexCommand label name "subsec:Placeholders" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Placeholders \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Chemical characters \begin_inset IndexMacro subentry status open \begin_layout Plain Layout Isotopes \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status open \begin_layout Plain Layout Isotopes \begin_inset IndexMacro see status open \begin_layout Plain Layout Chemical characters \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard When displaying e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset isotopes \begin_inset Foot status collapsed \begin_layout Plain Layout Typesetting isotopes and chemical symbols is described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Chemical-Symbols-and" nolink "false" \end_inset . \end_layout \end_inset the following problem occurs: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Indices created with sub- and superscripts: \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $_{9}^{19}\mathrm{F}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Correct indices: \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard The shorter index is placed by default below or above the first character of the longer index. This is corrected using the command \series bold \backslash phantom \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout P \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash phantom \end_layout \end_inset \end_layout \end_inset or the math toolbar button \begin_inset space \thinspace{} \end_inset \begin_inset Foot status collapsed \begin_layout Plain Layout Found in the submenu of the toolbar button \begin_inset Info type "icon" arg "math-insert \\space" \end_inset \end_layout \end_inset \begin_inset Info type "icon" arg "math/phantom" \end_inset to create one or more phantom characters. When inserting phantom characters a small blue box appears that is superposed with two red arrows. The arrows indicate the width and height of the box to be created as a placeholder. Phantom characters are placeholders with the same character size. \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout ^19 \begin_inset space \textvisiblespace{} \end_inset _ \backslash phantom \begin_inset space \textvisiblespace{} \end_inset 1 \begin_inset Formula $\to$ \end_inset 9 \begin_inset space \textvisiblespace{} \end_inset \backslash mathrm \begin_inset space \textvisiblespace{} \end_inset F \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout ^235 \begin_inset space \textvisiblespace{} \end_inset _ \backslash phantom \begin_inset space \textvisiblespace{} \end_inset 23 \begin_inset Formula $\to$ \end_inset 9 \begin_inset space \textvisiblespace{} \end_inset \backslash mathrm \begin_inset space \textvisiblespace{} \end_inset F \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $_{\phantom{23}9}^{235}\mathrm{F}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Lambda \begin_inset space \textvisiblespace{} \end_inset ^ \backslash phantom \begin_inset space \textvisiblespace{} \end_inset ii \begin_inset Formula $\to$ \end_inset t \begin_inset space \textvisiblespace{} \end_inset _MMt \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Lambda_{MMt}^{\phantom{ii}t}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard Furthermore there are the commands \series bold \backslash vphantom \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout V \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash vphantom \end_layout \end_inset \end_layout \end_inset (toolbar button \begin_inset Info type "icon" arg "math/vphantom" \end_inset ) and \series bold \backslash hphantom \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout H \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash hphantom \end_layout \end_inset \end_layout \end_inset (toolbar button \begin_inset Info type "icon" arg "math/hphantom" \end_inset ). \series bold \backslash hphantom \series default creates only space for the maximal height of the characters in the box but not for its width. \series bold \backslash vphantom \series default creates only space for the width of the box content. Therefore the boxes of both commands have only one red arrow. \end_layout \begin_layout Standard For example the command \series bold \backslash vphantom \begin_inset space \textvisiblespace{} \end_inset a \backslash int \series default creates space for the height of the integral sign, \begin_inset Foot status collapsed \begin_layout Plain Layout The command \series bold \backslash int \series default creates an integral sign, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Big-Operators" nolink "false" \end_inset . \end_layout \end_inset because this is the larger character. An example application is in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Multiline-Brackets" nolink "false" \end_inset . \end_layout \begin_layout Standard Placeholders can also be used for text when they are inserted via the menu \family sans Insert\SpecialChar menuseparator Formatting\SpecialChar menuseparator Phantom \family default : \end_layout \begin_layout Standard This is a sentence. \begin_inset Newline newline \end_inset \begin_inset Phantom Phantom status open \begin_layout Plain Layout This \end_layout \end_inset is a sentence. \end_layout \begin_layout Subsection Lines \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Lines \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout underlined \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash overline \begin_inset space \textvisiblespace{} \end_inset A+B \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout O \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash overline \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overline{A+B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash underline \begin_inset space \textvisiblespace{} \end_inset A+B \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout U \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash underline \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\underline{A+B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash overline \begin_inset space \textvisiblespace{} \end_inset \backslash underline \begin_inset space \textvisiblespace{} \end_inset A+B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overline{\underline{A+B}}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard In the last example it doesn't matter if \series bold \backslash overline \series default or \series bold \backslash underline \series default is inserted first. \end_layout \begin_layout Standard To double underline use \series bold \backslash underline \series default twice (or as many times you want). \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset Custom lines can be created using the command \series bold \backslash rule \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash rule \end_layout \end_inset \end_layout \end_inset which has the following scheme: \end_layout \begin_layout Standard \series bold \backslash rule[vertical offset]{length}{thickness} \end_layout \begin_layout Standard The optional vertical offset shifts the line upwards (or downwards, when the value is negative). The units listed in \begin_inset CommandInset ref LatexCommand ref reference "tab:Available-units" nolink "false" \end_inset can be used for the values. Here are two example lines created with the commands \begin_inset Newline newline \end_inset \series bold \backslash rule[-2ex]{3cm}{2pt} \series default and \series bold \backslash rule{2cm}{1pt} \series default : \end_layout \begin_layout Standard This is a sentence \begin_inset Formula $\rule[-2ex]{3cm}{2pt}\rule{2cm}{1pt}$ \end_inset with two lines. \end_layout \begin_layout Standard \series bold \backslash rule \series default can also be used for text when a line is inserted via the menu \family sans Insert\SpecialChar menuseparator Formatting\SpecialChar menuseparator Horizontal \begin_inset space ~ \end_inset Line \family default : \end_layout \begin_layout Standard This is a sentence \begin_inset CommandInset line LatexCommand rule offset "0.5ex" width "3cm" height "1pt" \end_inset with one line. \end_layout \begin_layout Subsection Ellipses \begin_inset CommandInset label LatexCommand label name "subsec:Ellipses" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Ellipses \end_layout \end_inset \end_layout \begin_layout Standard There are different types of ellipses available. \begin_inset Foot status collapsed \begin_layout Plain Layout In the math toolbar in the submenu of the button \begin_inset Info type "icon" arg "math-insert \\ldots" \end_inset \end_layout \end_inset For listings, dots at the baseline are used ( \series bold \backslash ldots \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout L \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash ldots \end_layout \end_inset \end_layout \end_inset ), while for operations, dots are needed that are on the same height as the operators ( \series bold \backslash cdots \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout C \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash cdots \end_layout \end_inset \end_layout \end_inset ). When using the command \series bold \backslash dots \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout D \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash dots \end_layout \end_inset \end_layout \end_inset , \SpecialChar LaTeX decides on the basis of the next character what type is used. \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A_1 \begin_inset space \textvisiblespace{} \end_inset , \backslash dots \begin_inset space \textvisiblespace{} \end_inset ,A_n \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A_{1},\dots,A_{n}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A_1 \begin_inset space \textvisiblespace{} \end_inset + \backslash dots \begin_inset space \textvisiblespace{} \end_inset +A_n \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A_{1}+\dots+A_{n}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A_1 \begin_inset space \textvisiblespace{} \end_inset , \backslash ldots \begin_inset space \textvisiblespace{} \end_inset ,A_n \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A_{1},\ldots,A_{n}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A_1 \begin_inset space \textvisiblespace{} \end_inset + \backslash cdots \begin_inset space \textvisiblespace{} \end_inset +A_n \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A_{1}+\cdots+A_{n}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash vdots \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\vdots$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ddots \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ddots$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash iddots \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\iddots$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 3×3 \begin_inset space \thinspace{} \end_inset matrix with the different dots \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \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 \end_inset \end_layout \begin_layout Standard The ellipses available in menu \family sans Insert\SpecialChar menuseparator Special \begin_inset space ~ \end_inset Character \family default are \series bold \backslash ldots \series default . \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset To use \series bold \backslash iddots \series default , the option \family sans Use mathdots package (automatically) \family default must be set in the document settings under \family sans Math \begin_inset space ~ \end_inset Options \family default . \begin_inset Newline newline \end_inset Using the option \family sans Use mathdots package \family default will improve the appearance of all dots in the documents if their font style or size is not the default. \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset Specially for matrices there are ellipses that span over several columns. They are created with the command \series bold \backslash hdotsfor \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout H \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash hdotsfor \end_layout \end_inset \end_layout \end_inset and have the following scheme ( \family sans mathtools \family default must be loaded \family sans always \family default under \family sans Math \begin_inset space ~ \end_inset Options \family default for this to work): \end_layout \begin_layout Standard \series bold \backslash hdotsfor[distance]{number of columns} \end_layout \begin_layout Standard The number of columns specifies how many columns should be spanned. Distance is a factor for the distance between the dots. \end_layout \begin_layout Standard In the following matrix the command \series bold \backslash hdotsfor[2]{4} \series default was inserted in the first box of the second line to get an ellipsis with a dot distance twice as long as with the command \series bold \backslash dots \series default : \begin_inset Formula \[ \left(\begin{array}{cccc} A & B & C & D\\ \hdotsfor[2]{4}\\ q & w & e & r \end{array}\right) \] \end_inset Note that the matrix fields that should be spanned must be empty, otherwise you get \SpecialChar LaTeX -errors. \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset Furthermore you can fill with the command \series bold \backslash dotfill \series default \begin_inset Index idx range none pageformat default status open \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout D \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash dotfill \end_layout \end_inset \end_layout \end_inset the rest of a line with dots. The effect of these commands is the same as with \series bold \backslash hfill \series default , see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Variable-Space" nolink "false" \end_inset . \end_layout \begin_layout Standard For example the command \series bold A \backslash dotfill \begin_inset space \textvisiblespace{} \end_inset B \series default produces \end_layout \begin_layout Standard \begin_inset Formula $A\dotfill B$ \end_inset \end_layout \begin_layout Standard Similar to \series bold \backslash dotfill \series default there is for a line the command \series bold \backslash hrulefill \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout H \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash hrulefill \end_layout \end_inset \end_layout \end_inset : \end_layout \begin_layout Standard \begin_inset Formula $A\hrulefill B$ \end_inset \end_layout \begin_layout Standard To use the commands for text, they have to be inserted in \SpecialChar TeX mode. \end_layout \begin_layout Section Matrices \begin_inset CommandInset label LatexCommand label name "sec:Matrices" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Matrices \end_layout \end_inset \end_layout \begin_layout Standard Matrices can be inserted via the math toolbar button \begin_inset Info type "icon" arg "dialog-show mathmatrix" \end_inset or the menu \family sans Insert\SpecialChar menuseparator Math\SpecialChar menuseparator Matrix \family default . In the matrix dialog you can specify the number of columns and rows, the alignment and the decoration. The vertical alignment is only of importance for matrices in inline formulas: \end_layout \begin_layout Standard The first matrix is top \begin_inset Formula $\begin{array}[t]{cccc} A & D & G & J\\ B & E & H & K\\ C & F & I & L \end{array}$ \end_inset , the second middle \begin_inset Formula $\begin{array}{cccc} A & D & G & J\\ B & E & H & K\\ C & F & I & L \end{array}$ \end_inset and the third bottom \begin_inset Formula $\begin{array}[b]{cccc} A & D & G & J\\ B & E & H & K\\ C & F & I & L \end{array}$ \end_inset aligned. \end_layout \begin_layout Standard The horizontal alignment specifies how the column entries should be aligned. It is set by entering a letter for every column. \emph on l \emph default denotes left aligned, \emph on c \emph default centered and \emph on r \emph default right aligned. To create for example a 4 \series bold × \series default 4 \begin_inset space ~ \end_inset matrix where the first column is left aligned, the second and third are centered and the last one is right aligned, one enters for the horizontal alignment \series bold lccr \series default . Normally in a matrix all columns are centered, therefore the default for every column is a \series bold c \series default . \end_layout \begin_layout Standard Horizontal alignment: \end_layout \begin_layout Standard \series bold lll \series default : \begin_inset Formula $\begin{array}{lll} 10000 & D & G\\ B & 10000 & H\\ C & F & 10000 \end{array}$ \end_inset , \series bold ccc \series default : \begin_inset Formula $\begin{array}{ccc} 10000 & D & G\\ B & 10000 & H\\ C & F & 10000 \end{array}$ \end_inset , \series bold rrr \series default : \begin_inset Formula $\begin{array}{rrr} 10000 & D & G\\ B & 10000 & H\\ C & F & 10000 \end{array}$ \end_inset \end_layout \begin_layout Standard To subsequently add or delete rows and columns, the math toolbar buttons \begin_inset Info type "icon" arg "tabular-feature append-row" \end_inset , \begin_inset Info type "icon" arg "tabular-feature delete-row" \end_inset , etc. \begin_inset space \thinspace{} \end_inset , or the menu \family sans Edit\SpecialChar menuseparator Rows & Columns \family default can be used. New rows can also be created with \begin_inset Info type "shortcut" arg "newline-insert newline" \end_inset . \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset \family sans Appearance \family default can be used to add parentheses in the selected style around the matrix or to select the \family sans small \family default style, suitable for an inline matrix like this one \begin_inset Formula $\bigl(\begin{smallmatrix}0 & \textrm{-}\mathrm{i}\\ \mathrm{i} & 0 \end{smallmatrix}\bigr)$ \end_inset . Here the parentheses have been added manually using commands \series bold \backslash bigl( \series default and \series bold \backslash bigr). \end_layout \begin_layout Standard Alternatively, parentheses can be created with the commands \series bold \backslash left \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout L \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash left \end_layout \end_inset \end_layout \end_inset and \series bold \backslash right \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash right \end_layout \end_inset \end_layout \end_inset (shortcut \family sans Alt+M \begin_inset space ~ \end_inset Parenthesis \family default ), see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Automatic-Bracket-Size" nolink "false" \end_inset , or by using the following commands: \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bmatrix \begin_inset space \textvisiblespace{} \end_inset 2 \series bold × \series default 2 \begin_inset space \thinspace{} \end_inset matrix \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\begin{bmatrix}\begin{array}{cc} 0 & \textrm{-}\mathrm{i}\\ \mathrm{i} & 0 \end{array}\end{bmatrix}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Bmatrix \begin_inset space \textvisiblespace{} \end_inset 2 \series bold × \series default 2 \begin_inset space \thinspace{} \end_inset matrix \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\begin{Bmatrix}\begin{array}{cc} 0 & \textrm{-}\mathrm{i}\\ \mathrm{i} & 0 \end{array}\end{Bmatrix}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash pmatrix \begin_inset space \textvisiblespace{} \end_inset 2 \series bold × \series default 2 \begin_inset space \thinspace{} \end_inset matrix \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\begin{pmatrix}\begin{array}{cc} 0 & \textrm{-}\mathrm{i}\\ \mathrm{i} & 0 \end{array}\end{pmatrix}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash vmatrix \begin_inset space \textvisiblespace{} \end_inset 2 \series bold × \series default 2 \begin_inset space \thinspace{} \end_inset matrix \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\begin{vmatrix}\begin{array}{cc} 0 & \textrm{-}\mathrm{i}\\ \mathrm{i} & 0 \end{array}\end{vmatrix}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Vmatrix \begin_inset space \textvisiblespace{} \end_inset 2 \series bold × \series default 2 \begin_inset space \thinspace{} \end_inset matrix \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\begin{Vmatrix}\begin{array}{cc} 0 & \textrm{-}\mathrm{i}\\ \mathrm{i} & 0 \end{array}\end{Vmatrix}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash matrix \begin_inset space \textvisiblespace{} \end_inset 2 \series bold × \series default 2 \begin_inset space \thinspace{} \end_inset matrix \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\begin{matrix}\begin{array}{cc} 0 & \textrm{-}\mathrm{i}\\ \mathrm{i} & 0 \end{array}\end{matrix}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset When e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset \series bold \backslash vmatrix \series default is inserted, a blue box appears between two vertical lines where the matrix is inserted. \begin_inset Newline newline \end_inset Note that decorated matrices ignore the vertical alignment. \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset As all multiline formulas are matrices, the length \series bold \backslash arraycolsep \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout A \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash arraycolsep \end_layout \end_inset \end_layout \end_inset that is described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Column-Separation" nolink "false" \end_inset can also be used to change the column separation of matrices. \end_layout \begin_layout Standard To change the row separation, the command \series bold \backslash arraystretch \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout A \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash arraystretch \end_layout \end_inset \end_layout \end_inset is used as follows: \end_layout \begin_layout Standard \series bold \backslash renewcommand{ \backslash arraystretch}{stretch factor} \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash renewcommand \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard The command \series bold \backslash renewcommand \series default assigns the stretch factor to the predefined command \series bold \backslash arraystretch \series default . For example to double the row separation, use a stretch factor of 2. This is then used for all following matrices. To restore the original separation, assign a stretch factor of 1 to \series bold \backslash arraystretch \series default . \end_layout \begin_layout Standard Small inline matrices can also be obtained using the command \series bold \backslash smallmatrix \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash smallmatrix \end_layout \end_inset \end_layout \end_inset . When it is inserted in a line a blue box with two dashed lines appears. Adjust the matrix rows and columns as desired. \end_layout \begin_layout Standard This is a matrix \begin_inset Formula $\left(\begin{smallmatrix}A & B\\ C & D \end{smallmatrix}\right)$ \end_inset in a text line with automatic delimiters around it. \end_layout \begin_layout Section Brackets and Delimiters \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Brackets \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Delimiters \end_layout \end_inset \end_layout \begin_layout Subsection Vertical Brackets and Delimiters \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Brackets \begin_inset IndexMacro subentry status open \begin_layout Plain Layout vertical \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout ( \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $($ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout { \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\{$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout [ \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $[$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash langle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\langle$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lceil \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\lceil$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lfloor \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\lfloor$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout / \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $/$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout | \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $|$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout ) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $)$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout } \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout ] \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $]$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rangle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\rangle$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rceil \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\rceil$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rfloor \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\rfloor$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \backslash \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\backslash$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash | \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\|$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \series medium \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default In \SpecialChar TeX mode the command \series bold \backslash textbackslash \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout T \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash textbackslash \end_layout \end_inset \end_layout \end_inset must be used for the backslash, because the command \series bold \backslash \backslash \series default produces a line break there. \end_layout \end_inset \end_layout \begin_layout Standard For all characters listed above the size can be adjusted with the commands described in the following two subsections. When using these commands, the characters < and > can directly be used instead of the commands \series bold \backslash langle \series default and \series bold \backslash rangle \series default . \end_layout \begin_layout Subsubsection Manual Bracket Size \begin_inset CommandInset label LatexCommand label name "subsec:Manual-Bracket-Size" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Bracket size \begin_inset IndexMacro subentry status open \begin_layout Plain Layout manual \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard The bracket size can be specified manually by the \SpecialChar LaTeX -commands \series bold \backslash big \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout B \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash big \end_layout \end_inset \end_layout \end_inset , \series bold \backslash Big \series default , \series bold \backslash bigg \series default and \series bold \backslash Bigg \series default . \series bold \backslash big \series default denotes the smallest and \series bold \backslash Bigg \series default the largest bracket size. \end_layout \begin_layout Standard These commands are used to emphasize levels of brackets: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout All brackets in the same size: \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $((A+B)(A-B))^{C}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout This looks better: \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Big((A+B)(A-B)\Big)^{C}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard For the second formula the command \series bold \backslash Big((A+B)(A-B) \backslash Big)^ \begin_inset space \textvisiblespace{} \end_inset C \series default has been used. \end_layout \begin_layout Standard Here is an example containing all bracket sizes: \end_layout \begin_layout Standard \align center \backslash Bigg( \backslash exp \backslash bigg< \backslash Big[ \backslash big{ \backslash ln(3x) \backslash big}^2 \begin_inset space \textvisiblespace{} \end_inset \backslash sin(x) \backslash Big]^ \begin_inset space \textvisiblespace{} \end_inset A \begin_inset space \textvisiblespace{} \end_inset \backslash bigg> \backslash Bigg)^0,5 \end_layout \begin_layout Standard \align center \begin_inset Formula $\Bigg(\exp\bigg<\Big[\big\{\ln(3x)\big\}^{2}\sin(x)\Big]^{A}\bigg>\Bigg)^{0,5}$ \end_inset \end_layout \begin_layout Standard In addition to the \series bold \backslash big \series default -commands there is a variant, \series bold \backslash bigm \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout B \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash bigm \end_layout \end_inset \end_layout \end_inset , that adds a bit more space between the bracket and its content. Other variants \series bold \backslash bigl \series default and \series bold \backslash bigr \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout B \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash bigl – \backslash bigr \end_layout \end_inset \end_layout \end_inset , don't add additional space. The \emph on l \emph default at the end of the command \series bold \backslash bigl \series default is for a left bracket; for a right bracket this is replaced by an \emph on r \emph default . A left or right bracket can each be an opening or closing bracket. \end_layout \begin_layout Standard The following table contains comparisons of the variants: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Bigm( \backslash bigm( \backslash ln(3x) \backslash bigm)^2 \begin_inset space \textvisiblespace{} \end_inset \backslash Bigm) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Big( \backslash big( \backslash ln(3x) \backslash big)^2 \begin_inset space \textvisiblespace{} \end_inset \backslash Big) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Big(\big(\ln(3x)\big)^{2}\Big)$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Bigl( \backslash bigl( \backslash ln(3x) \backslash bigr)^2 \begin_inset space \textvisiblespace{} \end_inset \backslash Bigr) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigl) \backslash ln(3x) \backslash bigr( \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigl)\ln(3x)\bigr($ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Subsubsection Automatic Bracket Size \begin_inset CommandInset label LatexCommand label name "subsec:Automatic-Bracket-Size" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Bracket size \begin_inset IndexMacro subentry status open \begin_layout Plain Layout automatic \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Variably sized brackets can be inserted with the commands \series bold \backslash left \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout L \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash left \end_layout \end_inset \end_layout \end_inset and \series bold \backslash right \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash right \end_layout \end_inset \end_layout \end_inset or via the math toolbar button \begin_inset Info type "icon" arg "dialog-show mathdelimiter" \end_inset . The desired bracket must be inserted directly behind the \series bold \backslash left \series default and \series bold \backslash right \series default commands. The bracket size will then automatically be calculated for the output. \end_layout \begin_layout Standard \align center normal bracket: The command \series bold \backslash ln( \backslash frac \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset C \begin_inset space \textvisiblespace{} \end_inset ) \series default creates \begin_inset Formula \[ \ln(\frac{A}{C}) \] \end_inset \end_layout \begin_layout Standard \align center multiline bracket: The command \series bold \backslash ln \backslash left( \backslash frac \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset C \begin_inset space \textvisiblespace{} \end_inset \backslash right) \series default creates \begin_inset Formula \[ \ln\left(\frac{A}{C}\right) \] \end_inset \end_layout \begin_layout Standard Instead of \series bold \backslash left \series default and \series bold \backslash right \series default the shortcut \family sans Alt+M \begin_inset space ~ \end_inset Bracket \family default can be used. This has the advantage that you can see in \SpecialChar LyX immediately the real bracket size and that the matching right bracket will be created too. \begin_inset Newline newline \end_inset The command for the last example would then be: \series bold \backslash ln Alt+M \series default \series bold ( \backslash frac \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset C \end_layout \begin_layout Standard To omit a left or right bracket, a dot is inserted for the omitted bracket. For example the command \series bold \backslash left. \backslash frac \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B \begin_inset space \textvisiblespace{} \end_inset \backslash right} \series default creates: \series bold \begin_inset Formula \[ \left.\frac{A}{B}\right\} \] \end_inset \series default The commands \series bold \backslash left \series default and \series bold \backslash right \series default will be converted by \SpecialChar LyX to brackets with the correct size when the document is reloaded and an omitted bracket will appear as dashed line. \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset Because all popular \SpecialChar LaTeX distributions use e\SpecialChar TeX , an extension to \SpecialChar LaTeX , the command \series bold \backslash middle \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout M \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash middle \end_layout \end_inset \end_layout \end_inset is available for all brackets and limits. With this command the height of the following character is adapted to the one of the surrounding brackets, for example in the case of physical vectors: \begin_inset Formula \[ \left\langle \phi\:\middle|\:J=\frac{3}{2}\,,\,M_{J}\right\rangle \] \end_inset For physical vectors there is a special \SpecialChar LaTeX -package, described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Physical-Vectors" nolink "false" \end_inset . \end_layout \begin_layout Subsection Horizontal Brackets \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Brackets \begin_inset IndexMacro subentry status open \begin_layout Plain Layout horizontal \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash overbrace \begin_inset space \textvisiblespace{} \end_inset A+B \begin_inset space \textvisiblespace{} \end_inset ^3 \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout O \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash overbrace \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overbrace{A+B}^{3}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash underbrace \begin_inset space \textvisiblespace{} \end_inset A+B \begin_inset space \textvisiblespace{} \end_inset _5 \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout U \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash underbrace \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\underbrace{A+B}_{5}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash overbrace \begin_inset space \textvisiblespace{} \end_inset \backslash underbrace \begin_inset space \textvisiblespace{} \end_inset A+B_w \begin_inset space \textvisiblespace{} \end_inset \begin_inset space \textvisiblespace{} \end_inset _7 \begin_inset space \textvisiblespace{} \end_inset \begin_inset space \textvisiblespace{} \end_inset ^ \begin_inset space \textvisiblespace{} \end_inset C \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overbrace{\underbrace{A+B_{w}}_{7}}^{C}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard In the last example it doesn't matter if \series bold \backslash overbrace \series default or \series bold \backslash underbrace \series default is inserted first. \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard If in document settings under \family sans Math \begin_inset space ~ \end_inset Options \family default the option for the package \series bold mathtools \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout mathtools \end_layout \end_inset \end_layout \end_inset is set to \family sans Load \begin_inset space ~ \end_inset always \family default , you will also have access to square brackets: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none overbracket \family default \series default \shape default \size default \emph default \bar default \strikeout default \uuline default \uwave default \noun default \color inherit {A+B \begin_inset space \textvisiblespace{} \end_inset ^3 \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout O \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash overbracket \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overbracket{A+B}^{3}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash under \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none bracket \family default \series default \shape default \size default \emph default \bar default \strikeout default \uuline default \uwave default \noun default \color inherit {A+B \begin_inset space \textvisiblespace{} \end_inset _5 \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout U \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash under \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none bracket \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\underbracket{A+B}_{5}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash overbracket{ \backslash underbracket{A+B_w \begin_inset space \textvisiblespace{} \end_inset \begin_inset space \textvisiblespace{} \end_inset _7 \begin_inset space \textvisiblespace{} \end_inset \begin_inset space \textvisiblespace{} \end_inset ^C \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overbracket{\underbracket{A+B_{w}}_{7}}^{C}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard For \series bold \backslash overbracket \series default and \series bold \backslash underbracket \series default you can change the thickness of the bracket's stroke by specifying the desired thickness in square brackets behind the command: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none overbracket \family default \series default \shape default \size default \emph default \bar default \strikeout default \uuline default \uwave default \noun default \color inherit [3pt] \backslash {A+B \begin_inset space \textvisiblespace{} \end_inset ^3 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overbracket[3pt]{A+B}^{3}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash under \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none bracket \family default \series default \shape default \size default \emph default \bar default \strikeout default \uuline default \uwave default \noun default \color inherit [1pt] \backslash {A+B \begin_inset space \textvisiblespace{} \end_inset _5 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\underbracket[1pt]{A+B}_{5}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset When brackets overlap each other, multiline formulas as described in \begin_inset CommandInset ref LatexCommand ref reference "sec:Multiline-Formulas" nolink "false" \end_inset must be used: \begin_inset Formula \begin{eqnarray*} A & = & \underbrace{gggg+bbqq}_{r}+\:dddd\\ & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s} \end{eqnarray*} \end_inset In the first row, the formula is inserted together with the first brace. It is important that the space command \begin_inset Foot status collapsed \begin_layout Plain Layout Space commands are explained in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Predefined-Space" nolink "false" \end_inset . \end_layout \end_inset \series bold \backslash : \series default is inserted before the first \begin_inset Formula $d$ \end_inset because the brace that ends behind the \begin_inset Formula $q$ \end_inset prevents the following \begin_inset Quotes eld \end_inset + \begin_inset Quotes erd \end_inset from being surrounded by spaces. \begin_inset Foot status collapsed \begin_layout Plain Layout Because a bracket is not handled as a character, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Binary-Operators" nolink "false" \end_inset \end_layout \end_inset The second brace is inserted in the second row. As it should begin before the \begin_inset Formula $b$ \end_inset , first the command \series bold \backslash hphantom{gggg+ \backslash :} \series default is inserted. \begin_inset Foot status collapsed \begin_layout Plain Layout More about \series bold \backslash hphantom \series default see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Placeholders" nolink "false" \end_inset \end_layout \end_inset This space is needed because the \begin_inset Quotes eld \end_inset + \begin_inset Quotes erd \end_inset is surrounded by spaces in the formula. The brace is placed under the command \series bold \backslash hphantom{bbqq+dddd} \series default . \end_layout \begin_layout Standard It gets more complicated when brackets overlap each other above and under the formula as in the following example: \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash setlength{ \backslash jot}{-6pt} \end_layout \end_inset \begin_inset Formula \begin{eqnarray*} & & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\ A & = & \underbrace{gggg+bbqq}_{r}+\:dddd \end{eqnarray*} \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash setlength{ \backslash jot}{3pt} \end_layout \end_inset The first formula row is the same as the second row of the previous example, with the difference that the brace is above. The second row contains the formula together with the second brace. To avoid the space between the upper brace in the first row and the formula, the row spacing needs to be reduced. This is not easily done due to a bug in \SpecialChar LyX . \begin_inset Foot status collapsed \begin_layout Plain Layout \begin_inset CommandInset href LatexCommand href name "LyX-bug #1505" target "https://www.lyx.org/trac/ticket/1505" literal "false" \end_inset \end_layout \end_inset As a solution for the problem, the global formula row separation \series bold \backslash jot \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout J \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash jot \end_layout \end_inset \end_layout \end_inset must be changed to -6 \begin_inset space \thinspace{} \end_inset pt before the formula with the command \series bold \backslash setlength{ \backslash jot}{-6pt} \series default in \SpecialChar TeX mode. \series bold \backslash jot \series default is set back after the formula to the standard value of 3 \begin_inset space \thinspace{} \end_inset pt using the same command. More about the row separation in formulas is explained in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Line-Separation" nolink "false" \end_inset . \end_layout \begin_layout Section Arrows \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Arrows \end_layout \end_inset \end_layout \begin_layout Standard Arrows can be inserted via the math toolbar button \begin_inset Info type "icon" arg "math-insert \\leftarrow" \end_inset or the commands listed in the following subsections. \end_layout \begin_layout Subsection Horizontal Arrows \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Arrows \begin_inset IndexMacro subentry status open \begin_layout Plain Layout horizontal \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash gets \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\gets$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Leftarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Leftarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash longleftarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\longleftarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Longleftarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Longleftarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash leftharpoonup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\leftharpoonup$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash leftharpoondown \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\leftharpoondown$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash hookleftarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\hookleftarrow$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash to \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\to$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Rightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Rightarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash longrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\longrightarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Longrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Longrightarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rightharpoonup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\rightharpoonup$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rightharpoondown \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\rightharpoondown$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash hookrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\hookrightarrow$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash leftrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\leftrightarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Leftrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Leftrightarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash longleftrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\longleftrightarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Longleftrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Longleftrightarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rightleftharpoons \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\rightleftharpoons$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hspace{} \length 25pt \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mapsto \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mapsto$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash longmapsto \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\longmapsto$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash leadsto \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\leadsto$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dasharrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dasharrow$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset Arrows used as accents such as vector arrows are listed in \begin_inset CommandInset ref LatexCommand ref reference "sec:Accents" nolink "false" \end_inset . \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset Labeled arrows \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Arrows \begin_inset IndexMacro subentry status open \begin_layout Plain Layout labeled \end_layout \end_inset \end_layout \end_inset are also available using the commands \series bold \backslash xleftarrow \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout X \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash xleftarrow \end_layout \end_inset \end_layout \end_inset and \series bold \backslash xrightarrow \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout X \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash xrightarrow \end_layout \end_inset \end_layout \end_inset . When inserting one of these commands in a formula, an arrow with two blue boxes appears indicating where the labels can be inserted. The length of the arrow adapts to the label width. \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout F(a) \backslash xleftarrow \begin_inset space \textvisiblespace{} \end_inset x=a \begin_inset Formula $\downarrow$ \end_inset x>0 \begin_inset Formula $\to$ \end_inset F(x) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $F(a)\xleftarrow[x>0]{x=a}F(x)$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout F(x) \backslash xrightarrow \begin_inset space \textvisiblespace{} \end_inset x=a \begin_inset Formula $\downarrow$ \end_inset x>0 \begin_inset Formula $\to$ \end_inset F(a) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $F(x)\xrightarrow[x>0]{x=a}F(a)$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard If in the document settings under \family sans Math \begin_inset space ~ \end_inset Options \family default for the package \series bold mathtools \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout mathtools \end_layout \end_inset \end_layout \end_inset the option \family sans Load \begin_inset space ~ \end_inset always \family default is set, you will have access to the following labeled arrows: \end_layout \begin_layout Standard \begin_inset Newpage newpage \end_inset \end_layout \begin_layout Standard \align center \begin_inset space \hspace*{\fill} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Example \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none \backslash xleftrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xleftrightarrow[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none \backslash xLeftarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xLeftarrow[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none xRightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xRightarrow[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none xLeftrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xLeftrightarrow[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none \backslash xhookleftarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xhookleftarrow[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none \backslash xhookrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xhookrightarrow[x=a]{x>0}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hspace*{\fill} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Example \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none xleftharpoondown \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xleftharpoondown[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none xleftharpoonup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xleftharpoonup[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none xrightharpoondown \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xrightharpoondown[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none xrightharpoonup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xrightharpoonup[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none xleftrightharpoons \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xleftrightharpoons[x=a]{x>0}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \family roman \series medium \shape up \size normal \emph off \bar no \strikeout off \uuline off \uwave off \noun off \color none xrightleftharpoons \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xrightleftharpoons[x=a]{x>0}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hspace*{\fill} \end_inset \end_layout \begin_layout Standard The command scheme for all of these arrows is: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout F(a) \backslash xleftrightarrow[x=a] \backslash {x>0 \begin_inset Formula $\to$ \end_inset F(x) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $F(a)\xleftrightarrow[x=a]{x>0}F(x)$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Subsection Vertical and Diagonal Arrows \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Arrows \begin_inset IndexMacro subentry status open \begin_layout Plain Layout diagonal \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Arrows \begin_inset IndexMacro subentry status open \begin_layout Plain Layout vertical \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash uparrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\uparrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Uparrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Uparrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash updownarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\updownarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Updownarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Updownarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Downarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Downarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash downarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\downarrow$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash nearrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\nearrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash searrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\searrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash swarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\swarrow$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash nwarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\nwarrow$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset Vertical arrows can also be used as delimiters together with the commands described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Manual-Bracket-Size" nolink "false" \end_inset and \begin_inset CommandInset ref LatexCommand ref reference "subsec:Automatic-Bracket-Size" nolink "false" \end_inset . \end_layout \begin_layout Section Accents \begin_inset CommandInset label LatexCommand label name "sec:Accents" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Accents \end_layout \end_inset \end_layout \begin_layout Standard Accents can be inserted via the math toolbar button \begin_inset Info type "icon" arg "math-insert \\hat" \end_inset or the commands listed in the following subsections. \end_layout \begin_layout Subsection Accents for One Character \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash texorpdfstring{ \end_layout \end_inset \begin_inset Foot status collapsed \begin_layout Plain Layout For accents in text see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Accents-in-Text" nolink "false" \end_inset \end_layout \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout }{} \end_layout \end_inset \begin_inset Note Note status collapsed \begin_layout Plain Layout \series bold \backslash texorpdfstring \series default is used to avoid that the footnote appears in the PDF-bookmark. \end_layout \begin_layout Plain Layout More about \series bold \backslash texorpdfstring \series default is in section \begin_inset CommandInset ref LatexCommand ref reference "subsec:Formulas-in-Section" nolink "false" \end_inset . \end_layout \end_inset \begin_inset CommandInset label LatexCommand label name "subsec:Accents-for-one" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Accents \begin_inset IndexMacro subentry status open \begin_layout Plain Layout for one character \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dot \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dot{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ddot \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ddot{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dddot \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dddot{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ddddot \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ddddot{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash vec \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Vectors \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\vec{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bar \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bar{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathring \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathring{A}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash tilde \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\tilde{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash hat \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\hat{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash check \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\check{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash acute \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\acute{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash grave \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\grave{A}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash breve \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\breve{A}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset \end_layout \begin_layout Standard You can directly insert accents such as é in formulas. \SpecialChar LyX will transform them to the corresponding accent command. For umlauts \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Umlauts \end_layout \end_inset however it is better to insert a quotation mark before the vowel. These two characters are then treated by \SpecialChar LaTeX as \emph on one \emph default character when the formula part with the umlaut is marked as German. In contrast to \series bold \backslash ddot \series default , with this method \begin_inset Quotes eld \end_inset real \begin_inset Quotes erd \end_inset umlauts are created as demonstrated in the following example: \end_layout \begin_layout Standard \begin_inset VSpace -2mm \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Quotes grd \end_inset i \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset space \hspace{} \length 0pt \end_inset \lang ngerman \begin_inset Formula $"i$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ddot \begin_inset space \textvisiblespace{} \end_inset i \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ddot{i}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard One advantage with \series bold \backslash ddot \series default is that umlauts can be directly converted to mathematical text because the accent commands above are \emph on not allowed \emph default \emph on in mathematical text \emph default . To convert an accented character to mathematical text, only the character under the accent may be converted. This applies for all conversions, e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset to italic or bold. \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset \end_layout \begin_layout Standard \SpecialChar LyX also supports a tilde under the character if the \SpecialChar LaTeX -package \series bold undertilde \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout undertilde \end_layout \end_inset \end_layout \end_inset is installed on your system: \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash ifundertilde \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following table will only be displayed when the \SpecialChar LaTeX -package \series bold undertilde \series default is installed. \end_layout \end_inset \end_layout \begin_layout Standard \noindent \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash utilde \begin_inset space \textvisiblespace{} \end_inset A \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\utilde{A}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash else \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following will be displayed when the \SpecialChar LaTeX -package \series bold undertilde \series default is not installed: \end_layout \end_inset \end_layout \begin_layout Standard You need to install the \SpecialChar LaTeX -package \series bold undertilde \series default to see the rest of this subsection in the output. \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fi \end_layout \end_inset \end_layout \begin_layout Subsection Accents for Several Characters \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Accents \begin_inset IndexMacro subentry status open \begin_layout Plain Layout for several characters \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash overleftarrow \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overleftarrow{A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash underleftarrow \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\underleftarrow{A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash overleftrightarrow \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overleftrightarrow{A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash underleftrightarrow \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\underleftrightarrow{A=B}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash overrightarrow \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\overrightarrow{A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash underrightarrow \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\underrightarrow{A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash widetilde \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\widetilde{A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash widehat \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\widehat{A=B}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset Using these commands you can accent as many characters as you like. But the accents \series bold \backslash widetilde \series default and \series bold \backslash widehat \series default will only be set in the output with a length of three characters, as shown in the following example: \begin_inset Formula \[ \widetilde{A+B=C-D} \] \end_inset \end_layout \begin_layout Standard It is also possible to accent several characters using the commands \series bold \backslash overset \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout O \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash overset \end_layout \end_inset \end_layout \end_inset and \series bold \backslash underset \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout U \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash underset \end_layout \end_inset \end_layout \end_inset described in the previous subsection. The command \series bold \backslash underset \begin_inset space \textvisiblespace{} \end_inset A=B \begin_inset Formula $\downarrow$ \end_inset *** \series default creates: \begin_inset Formula \[ \underset{***}{A=B} \] \end_inset \end_layout \begin_layout Section Space \begin_inset CommandInset label LatexCommand label name "subsec:Space" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Space \begin_inset IndexMacro subentry status open \begin_layout Plain Layout horizontal \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Subsection Predefined Space \begin_inset CommandInset label LatexCommand label name "subsec:Predefined-Space" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Space \begin_inset IndexMacro subentry status open \begin_layout Plain Layout horizontal \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout predefined \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Sometimes it is necessary to insert horizontal space into a formula. This is done by inserting a non-breaking space (shortcut \begin_inset Info type "shortcut" arg "command-alternatives math-space ; space-insert protected" \end_inset ). A \begin_inset Quotes eld \end_inset \color blue \begin_inset space \textvisiblespace{} \end_inset \color inherit \begin_inset Quotes erd \end_inset appears and by pressing \family sans Space \family default several times one can select one of eight different space sizes. The spaces can also be inserted using the math toolbar button \begin_inset Info type "icon" arg "math-insert \\space" \end_inset or special commands. The size can be adjusted at any time by positioning the cursor on the \begin_inset Info type "icon" arg "math-insert \\space" \end_inset and pressing \family sans Space \family default until the desired size is achieved. \end_layout \begin_layout Standard \noindent \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Number of \family sans Space \family default keystrokes \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash , \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 0 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\,B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash : \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 1 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\:B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ; \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 2 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\;B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash quad \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 3 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\quad B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash qquad \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 4 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\qquad B$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Number of \family sans Space \family default keystrokes \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash hfill \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 5 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\hfill B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash hspace*{1em} \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 6 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\hspace*{1em}B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash hspace{1em} \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 7 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\hspace{1em}B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \begin_inset space \textvisiblespace{} \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 8 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\ B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ! \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 9 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\!B$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard Space's \begin_inset space ~ \end_inset 5 \begin_inset space \thinspace{} \end_inset – \begin_inset space \thinspace{} \end_inset 7 are variable spaces which are explained in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Variable-Space" nolink "false" \end_inset . Space \begin_inset space ~ \end_inset 9 appears to produce no space. It is displayed red in \SpecialChar LyX contrary to the other sizes, because it is a negative space. There are two more negative spaces: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash negmedspace \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash negthickspace \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Number of \family sans Space \family default keystrokes after inserting the non-breaking space \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 10 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 11 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\negmedspace B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\negthickspace B$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard Negative spaces can lead to characters overlapping each other. Thus they can be used to enforce ligatures, which are useful for things such as summation operators: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sum \backslash sum \begin_inset space \textvisiblespace{} \end_inset f_kl \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sum\sum f_{kl}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sum \backslash negmedspace \backslash sum \begin_inset space \textvisiblespace{} \end_inset f_kl \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sum\negmedspace\sum f_{kl}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \noindent \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard \noindent Relational operators, for example equal or less than signs, are always surrounded by space. To suppress this, the operator is placed into a \SpecialChar TeX brace. The following example demonstrates this: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Normal equation \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A=B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Equation without space \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A{=}B$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \noindent The command for the last formula is: \series bold A \backslash {= \begin_inset Formula $\to$ \end_inset B \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset \end_layout \begin_layout Standard Another example of controlled spaces is physical units. The space between a value and its unit is smaller than a normal space, typically a thin space is used. For units in text, the smaller space is inserted via the menu \family sans Insert\SpecialChar menuseparator Formatting\SpecialChar menuseparator Thin \begin_inset space ~ \end_inset Space \family default (shortcut \begin_inset Info type "shortcut" arg "space-insert thin" \end_inset ). \end_layout \begin_layout Standard An example to visualize the difference: \end_layout \begin_layout Standard \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout 24 kW \begin_inset Formula $\cdot$ \end_inset h \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Space between value and unit \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 24 \begin_inset space \thinspace{} \end_inset kW \begin_inset Formula $\cdot$ \end_inset h \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Thin space between value and unit \end_layout \end_inset \end_inset \end_layout \begin_layout Subsection Variable Space \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash texorpdfstring{ \end_layout \end_inset \begin_inset Foot status collapsed \begin_layout Plain Layout For vertical space in formulas see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Line-Separation" nolink "false" \end_inset \end_layout \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout }{} \end_layout \end_inset \begin_inset Note Note status collapsed \begin_layout Plain Layout \backslash texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark. \end_layout \begin_layout Plain Layout More about \backslash texorpdfstring is in section \begin_inset CommandInset ref LatexCommand ref reference "subsec:Formulas-in-Section" nolink "false" \end_inset . \end_layout \end_inset \begin_inset CommandInset label LatexCommand label name "subsec:Variable-Space" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Space \begin_inset IndexMacro subentry status open \begin_layout Plain Layout horizontal \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout variable \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Space with a defined length can be inserted with the command \series bold \backslash hspace \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout H \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash hspace \end_layout \end_inset \end_layout \end_inset . A long \begin_inset Quotes eld \end_inset \color blue \begin_inset space \textvisiblespace{} \end_inset \color inherit \begin_inset Quotes erd \end_inset will appear, the length of which can be specified by left-clicking on the \begin_inset Quotes eld \end_inset \color blue \begin_inset space \textvisiblespace{} \end_inset \color inherit \begin_inset Quotes erd \end_inset . The length may also be negative. If the space is the first character in a line, it will ordinarily be omitted. To force its output use the command \series bold \backslash hspace* \series default instead of \series bold \backslash hspace \series default or left-click on the \begin_inset Quotes eld \end_inset \color blue \begin_inset space \textvisiblespace{} \end_inset \color inherit \begin_inset Quotes erd \end_inset and check the option \family sans Protect \family default . \begin_inset Newline newline \end_inset To insert as much space as is available, the command \series bold \backslash hfill \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout H \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash hfill \end_layout \end_inset \end_layout \end_inset is used. \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command ( \backslash hspace length) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A=B \backslash hspace \begin_inset space \textvisiblespace{} \end_inset A \backslash not=C (3 \begin_inset space \thinspace{} \end_inset cm) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A=B\hspace{3cm}A\not=C$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A \backslash hspace \begin_inset space \textvisiblespace{} \end_inset A \backslash not=A (-1 \begin_inset space \thinspace{} \end_inset mm) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\hspace{-1mm}A\not=A$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A=A \backslash hfill \begin_inset space \textvisiblespace{} \end_inset B=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A=A\hfill B=B$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard In the last example the available space is given by the longest column entry of the table. In an inline formula the space depends on the length of the line in which \series bold \backslash hfill \series default is inserted. Thus, when the line uses the full width, no space will be created. \series bold \backslash hfill \series default only has an effect on displayed formulas when the formula style \series bold Indented \series default is used. (Formula styles are explained in \begin_inset CommandInset ref LatexCommand ref reference "sec:Formula-Styles" nolink "false" \end_inset .) \end_layout \begin_layout Standard Besides \series bold \backslash hfill \series default , there are also commands, \series bold \backslash dotfill \series default and \series bold \backslash hrulefill, \series default that fill the space with a pattern. See \begin_inset CommandInset ref LatexCommand ref reference "subsec:Ellipses" nolink "false" \end_inset for an example. \end_layout \begin_layout Standard For text, variable space can be inserted via the menu \family sans Insert\SpecialChar menuseparator Formatting\SpecialChar menuseparator Horizontal \begin_inset space ~ \end_inset Space \family default : \end_layout \begin_layout Standard This is a line with \begin_inset space \hspace{} \length 2cm \end_inset 2 \begin_inset space \thinspace{} \end_inset cm space. \end_layout \begin_layout Standard This is a line with \begin_inset space \hfill{} \end_inset maximum space. \end_layout \begin_layout Subsection Space Besides Inline Formulas \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Space \begin_inset IndexMacro subentry status open \begin_layout Plain Layout besides inline formulas \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard The space that surrounds inline formulas can be adjusted with the length \series bold \backslash mathsurround \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout M \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash mathsurround \end_layout \end_inset \end_layout \end_inset . The value of a length is set with the command \series bold \backslash setlength \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash setlength \end_layout \end_inset \end_layout \end_inset which has the following scheme: \end_layout \begin_layout Standard \series bold \backslash setlength{length name}{value} \end_layout \begin_layout Standard To set \series bold \backslash mathsurround \series default to the value 5 \begin_inset space \thinspace{} \end_inset mm, the command \end_layout \begin_layout Standard \series bold \backslash setlength{ \backslash mathsurround}{5mm} \end_layout \begin_layout Standard is inserted in \SpecialChar TeX mode. 5 \begin_inset space \thinspace{} \end_inset mm space will now be set around all inline formulas: \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash setlength{ \backslash mathsurround}{5mm} \end_layout \end_inset \end_layout \begin_layout Standard This is a line with an inline formula \begin_inset Formula $A=B$ \end_inset with 5 \begin_inset space \thinspace{} \end_inset mm surrounding space. \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash setlength{ \backslash mathsurround}{0pt} \end_layout \end_inset \end_layout \begin_layout Standard To return to the predefined value, \series bold \backslash mathsurround \series default is set to the value 0 \begin_inset space \thinspace{} \end_inset pt. \end_layout \begin_layout Section Boxes and Frames \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Boxes \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Frames \begin_inset IndexMacro see status open \begin_layout Plain Layout Boxes \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Boxes for text are described in chapter \family typewriter Boxes \family default in the \family typewriter Embedded \begin_inset space ~ \end_inset Objects \family default manual. \end_layout \begin_layout Subsection Boxes with Frame \begin_inset CommandInset label LatexCommand label name "subsec:Boxes-with-Frame" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Boxes \begin_inset IndexMacro subentry status open \begin_layout Plain Layout with frame \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard It is possible to frame a formula or part of one with the commands \series bold \backslash fbox \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout F \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash fbox \end_layout \end_inset \end_layout \end_inset and \series bold \backslash boxed \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout B \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash boxed \end_layout \end_inset \end_layout \end_inset . \end_layout \begin_layout Standard When one of these commands is inserted in a formula, a blue box appears within a frame to enter formula parts. For \series bold \backslash fbox \series default an additional formula has to be created by \family sans Ctrl+M \family default within this box, because the box content will otherwise be treated as mathematical text. When \series bold \backslash boxed \series default is used, a new formula is automatically created inside the frame. \end_layout \begin_layout Standard The command \series bold \backslash fbox \series default is not suitable to frame displayed formulas because the formula will always be set in the size of the documents text. Conversly \series bold \backslash boxed \series default is not suitable to frame inline formulas because the formula will always be set in the size of a displayed formula. \end_layout \begin_layout Standard An extension to \series bold \backslash fbox \series default is the command \series bold \backslash framebox \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout F \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash framebox \end_layout \end_inset \end_layout \end_inset with which the frame width and the alignment can be specified. \series bold \backslash framebox \series default is used in the following scheme: \end_layout \begin_layout Standard \series bold \backslash framebox[frame width][position]{box content} \end_layout \begin_layout Standard The position can either be \emph on l \emph default or \emph on r \emph default . \emph on l \emph default left aligns and \emph on r \emph default right aligns the formula in the box. If no position is given the formula will be centered. \begin_inset Newline newline \end_inset If width is not given then position can not be given. In this case the frame width is adjusted to the box content like for \series bold \backslash fbox \series default . \end_layout \begin_layout Standard When the command \series bold \backslash framebox \series default is inserted, a box appears containing three blue boxes. The first two boxes are surrounded by brackets and denote the two optional arguments. The third box is for formula parts like for \series bold \backslash fbox \series default . \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash fbox \begin_inset space \textvisiblespace{} \end_inset \family sans Ctrl+M \family default \backslash int \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\fbox{\ensuremath{\int A=B}}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash boxed \begin_inset space \textvisiblespace{} \end_inset \backslash int \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\boxed{\int A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A+ \backslash fbox \begin_inset space \textvisiblespace{} \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A+\fbox{B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash framebox \begin_inset space \textvisiblespace{} \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 space \textvisiblespace{} \end_inset A \begin_inset Formula $\downarrow$ \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\framebox[20mm][]{\ensuremath{\frac{A}{B}}}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard To adjust the frame thickness the following commands are inserted in \SpecialChar TeX mode before the formula: \end_layout \begin_layout Standard \series bold \backslash fboxrule \series default \series bold \begin_inset Quotes eld \end_inset thickness \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 specifies the minimum distance between the frame and the first character in the box. An example of this is given in the following framed formula: \begin_inset ERT status open \begin_layout Plain Layout \backslash fboxrule 2mm \backslash fboxsep 3mm \end_layout \end_inset \begin_inset Formula \[ \boxed{A+B=C} \] \end_inset Before this formula the commands \end_layout \begin_layout Standard \series bold \backslash fboxrule \series default \series bold 2mm \series default \series bold \backslash fboxsep \series default \series bold 3mm \end_layout \begin_layout Standard were inserted in \SpecialChar TeX mode. These values are then used for all following boxes. \end_layout \begin_layout Standard To return to the standard frame size, the command \end_layout \begin_layout Standard \series bold \backslash fboxrule \series default \series bold 0.4pt \series default \series bold \backslash fboxsep \series default \series bold 3pt \series default \begin_inset ERT status open \begin_layout Plain Layout \backslash fboxrule 0.4pt \backslash fboxsep 3pt \end_layout \end_inset \end_layout \begin_layout Standard is inserted in \SpecialChar TeX mode before the next formula. \end_layout \begin_layout Subsection Boxes Without Frame \begin_inset CommandInset label LatexCommand label name "subsec:Boxes-without-Frame" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Boxes \begin_inset IndexMacro subentry status open \begin_layout Plain Layout without frame \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard For boxes without a frame the following box commands: \series bold \backslash mbox \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout M \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash mbox \end_layout \end_inset \end_layout \end_inset , \series bold \backslash makebox \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout M \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash makebox \end_layout \end_inset \end_layout \end_inset and \series bold \backslash raisebox \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash raisebox \end_layout \end_inset \end_layout \end_inset are available. \end_layout \begin_layout Standard With \series bold \backslash raisebox \series default a box can be super- or subscripted. But in contrary to normal super- and subscripting, the characters in the box keep their font size. \series bold \backslash raisebox \series default is used in the following scheme: \end_layout \begin_layout Standard \series bold \backslash raisebox{height}{box content} \end_layout \begin_layout Standard When the box contains a formula, an extra formula is needed like for \series bold \backslash fbox \series default . \end_layout \begin_layout Standard \series medium \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default For \series bold \backslash raisebox \series default this extra formula is created by pressing \family sans Ctrl+M \family default twice instead of once because \SpecialChar LyX doesn't yet support \series bold \backslash raisebox \series default directly. \end_layout \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout H \backslash raisebox{2mm \begin_inset Formula $\to$ \end_inset \backslash {al \begin_inset Formula $\to$ \end_inset lo \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $H\raisebox{2mm}{al}lo$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout H \backslash raisebox{-2mm \begin_inset Formula $\to$ \end_inset \backslash {al \begin_inset Formula $\to$ \end_inset lo \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $H\raisebox{-2mm}{al}lo$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A= \backslash raisebox{-2mm \begin_inset Formula $\to$ \end_inset \backslash { \family sans Ctrl+M \family default \family sans Ctrl+M \family default \backslash sqrt \begin_inset space \textvisiblespace{} \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A=\raisebox{-2mm}{\mbox{\ensuremath{\sqrt{B}}}}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard The command \series bold \backslash mbox \series default is equivalent to \series bold \backslash fbox \series default and \series bold \backslash makebox \series default is equivalent to \series bold \backslash framebox \series default , except that there is no frame. \end_layout \begin_layout Subsection Colored Boxes \begin_inset CommandInset label LatexCommand label name "subsec:Colored-Boxes" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Boxes \begin_inset IndexMacro subentry status open \begin_layout Plain Layout colored \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard To be able to use all commands explained in this section, the \SpecialChar LaTeX -package \series bold color \series default \begin_inset Foot status collapsed \begin_layout Plain Layout The \SpecialChar LaTeX -package \series bold color \series default is part of every \SpecialChar LaTeX standard installation. \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout color \end_layout \end_inset \end_layout \end_inset must be loaded in the \SpecialChar LaTeX -preamble with the line \begin_inset Foot status collapsed \begin_layout Plain Layout When text is colored somewhere in the document with a predefined color, \SpecialChar LyX loads the \SpecialChar LaTeX package \series bold color \series default automatically. Thus it is possible that the package is loaded twice, but this does not cause problems. \end_layout \end_inset \begin_inset Note Note status collapsed \begin_layout Plain Layout To avoid that the package is loaded twice, a macro was inserted to the \SpecialChar LaTeX -preamble. \end_layout \end_inset \end_layout \begin_layout Standard \series bold \backslash usepackage{color} \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset To create color boxes, the command \series bold \backslash colorbox \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout C \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash colorbox \end_layout \end_inset \end_layout \end_inset is used in the following scheme: \end_layout \begin_layout Standard \series bold \backslash colorbox{color}{box content} \end_layout \begin_layout Standard The box content can also be a box and a \series bold \backslash colorbox \series default can also be part of another box (see the 2nd and 3rd example). When the box should contain a formula, an extra formula has to be created, the same way as for \series bold \backslash raisebox \series default . \begin_inset Foot status collapsed \begin_layout Plain Layout This also applies for the command \series bold \backslash fcolorbox \series default . \end_layout \end_inset \end_layout \begin_layout Standard One of the following predefined colors can be chosen: \end_layout \begin_layout Standard \series bold black \series default , \series bold blue \series default , \series bold cyan \series default , \series bold green \series default , \series bold magenta \series default , \series bold red \series default , \series bold white \series default and \series bold yellow \begin_inset VSpace smallskip \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash colorbox{yellow \begin_inset Formula $\to$ \end_inset \backslash {A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\colorbox{yellow}{A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash colorbox{green \begin_inset Formula $\to$ \end_inset \backslash { \backslash fbox \begin_inset space \textvisiblespace{} \end_inset \begin_inset Formula $\gets\gets$ \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\colorbox{green}{\fbox{A=B}}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash fbox \begin_inset space \textvisiblespace{} \end_inset \begin_inset Formula $\gets\gets$ \end_inset \backslash colorbox{green \begin_inset Formula $\to$ \end_inset \backslash { \family sans Ctrl+M \family default \family sans Ctrl+M \family default \backslash int \begin_inset space \textvisiblespace{} \end_inset C=D \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\fbox{\colorbox{green}{\mbox{\ensuremath{\int C=D}}}}$ \end_inset \end_layout \end_inset \end_inset \begin_inset VSpace smallskip \end_inset \end_layout \begin_layout Standard \series bold \backslash colorbox \series default only colors the box background, not the characters in the box. To color all characters, the whole formula is highlighted and the desired color is chosen in the \family sans Text \begin_inset space ~ \end_inset Style \family default dialog. The dialog can be called with the toolbar button \begin_inset Info type "icon" arg "dialog-show character" \end_inset or the menu \family sans Edit\SpecialChar menuseparator Text \begin_inset space ~ \end_inset Properties\SpecialChar menuseparator Customized \family default . The formula number will have the same color as the formula. If a different color for the formula number is desired, the color must be changed within the formula. \end_layout \begin_layout Standard An example: \end_layout \begin_layout Standard \color red \begin_inset Formula \begin{equation} \int A=B\label{eq:red} \end{equation} \end_inset \color green \begin_inset Formula \begin{equation} \textcolor{red}{\int A=B}\label{eq:redgreen} \end{equation} \end_inset \end_layout \begin_layout Standard Formula \begin_inset CommandInset ref LatexCommand eqref reference "eq:red" nolink "false" \end_inset is completely colored red. \begin_inset Newline newline \end_inset Formula \begin_inset CommandInset ref LatexCommand eqref reference "eq:redgreen" nolink "false" \end_inset was first completely colored green to set the color for the formula number. Subsequently the formula characters were colored red. \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset To color the frame different than the rest of the box, the command \series bold \backslash fcolorbox \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout F \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash fcolorbox \end_layout \end_inset \end_layout \end_inset is used in the following scheme: \end_layout \begin_layout Standard \series bold \backslash fcolorbox{frame color}{color}{box content} \end_layout \begin_layout Standard So \series bold \backslash fcolorbox \series default is an extension of the command \series bold \backslash colorbox \series default . The frame width is set, like for \series bold \backslash framebox \series default , with \series bold \backslash fboxrule \series default and \series bold \backslash fboxsep \series default . An example: \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fboxrule 1mm \backslash fboxsep 1mm \end_layout \end_inset \begin_inset Formula \[ \fcolorbox{cyan}{magenta}{A=B} \] \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fboxrule 0.4pt \backslash fboxsep 3pt \end_layout \end_inset \end_layout \begin_layout Standard This formula was created with the command \begin_inset Newline newline \end_inset \series bold \backslash fcolorbox{cyan \begin_inset Formula $\to$ \end_inset \backslash {magenta \begin_inset Formula $\to$ \end_inset \backslash {A=B \series default . \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset To use colors other than predefined ones, they must be defined first. \end_layout \begin_layout Standard One can for example define the color \begin_inset Quotes eld \end_inset \series bold darkgreen \series default \begin_inset Quotes erd \end_inset with the \SpecialChar LaTeX -preamble line: \end_layout \begin_layout Standard \series bold \backslash definecolor{darkgreen}{cmyk}{0.5, \series default \series bold 0, \series default \series bold 1, \series default \series bold 0.5} \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout D \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash definecolor \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \series bold cmyk \series default is the color space denoting the colors \series bold cyan \series default , \series bold magenta \series default , \series bold yellow \series default and \series bold black \series default . The four comma separated numbers are the portion factors for the corresponding colors of the color space. The factors can be in the range of 0 \begin_inset space \thinspace{} \end_inset - \begin_inset space \thinspace{} \end_inset 1. Instead of \series bold cmyk, \series default the color space \series bold rgb \series default can also be used for definitions. \series bold rgb \series default denotes \series bold red \series default , \series bold green \series default and \series bold blue \series default , so there are three portion factors for the corresponding colors. Furthermore there is the color space \series bold gray \series default with one portion factor for the gray value. \end_layout \begin_layout Standard As an example here is a framed box with the newly defined color \series bold darkgreen \series default where the characters have been colored \series bold yellow \series default : \begin_inset Formula \begin{equation} \colorbox{darkgreen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}} \end{equation} \end_inset \end_layout \begin_layout Standard Self-defined colors can also be used for text with the help of the command \series bold \backslash textcolor \series default : \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Text \begin_inset IndexMacro subentry status open \begin_layout Plain Layout colored \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash textcolor{darkgreen}{ \end_layout \end_inset This sentence is \begin_inset Quotes eld \end_inset darkgreen \begin_inset Quotes erd \end_inset . \begin_inset ERT status collapsed \begin_layout Plain Layout } \end_layout \end_inset \end_layout \begin_layout Standard \series bold \backslash textcolor \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout T \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash textcolor \end_layout \end_inset \end_layout \end_inset is used in the scheme \series bold \backslash textcolor{color}{characters to color} \series default . \end_layout \begin_layout Subsection Paragraph Boxes \begin_inset CommandInset label LatexCommand label name "subsec:Paragraph-Boxes" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Boxes \begin_inset IndexMacro subentry status open \begin_layout Plain Layout as paragraph \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard A box that can contain several lines and paragraphs, a so-called paragraph box (parbox), can be created with the menu \family sans Insert\SpecialChar menuseparator Box \family default or the toolbar button \begin_inset Info type "icon" arg "box-insert" \end_inset . \end_layout \begin_layout Standard The following example shows a framed parbox in a line: \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset This is a line \begin_inset Box Boxed position "c" hor_pos "c" has_inner_box 1 inner_pos "t" use_parbox 1 use_makebox 0 width "5cm" special "none" height "1in" height_special "totalheight" thickness "0.4pt" separation "3pt" shadowsize "4pt" framecolor "black" backgroundcolor "none" status open \begin_layout Plain Layout This is a paragraph box. It is exactly 5 \begin_inset space \thinspace{} \end_inset cm long and can also contain formulas: \begin_inset Formula $\int A\,\mathrm{d}s=C$ \end_inset \end_layout \end_inset with a parbox. \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard Such a box is created by right-clicking on the gray box inset. A dialog pops up showing the box properties. In our case set: \emph on Decoration \emph default : Rectangular box, \emph on Inner Box \emph default : Parbox, \emph on Width \emph default : 5 \begin_inset space \thinspace{} \end_inset cm, \emph on Vertical Box Alignment \emph default : Middle \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset In \SpecialChar LaTeX a parbox is created with the command \series bold \backslash parbox \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout P \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash parbox \end_layout \end_inset \end_layout \end_inset which has the following scheme: \end_layout \begin_layout Standard \series bold \backslash parbox[position]{width}{box content} \end_layout \begin_layout Standard The positions \emph on b \emph default and \emph on t \emph default are possible. \emph on b \emph default for \begin_inset Quotes eld \end_inset bottom \begin_inset Quotes erd \end_inset means that the box is aligned within the surrounding text with its last line. With \emph on t \emph default for \begin_inset Quotes eld \end_inset top \begin_inset Quotes erd \end_inset this is done with the first line. When no position is given, the box will be vertically centered, see section \emph on Boxes \emph default of the \emph on Embedded \begin_inset space ~ \end_inset Objects \emph default manual for examples. \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset To frame formulas completely, including the formula number, the formula must be set into a parbox. To do this, the command \series bold \backslash fbox{ \backslash parbox{ \backslash linewidth-2 \backslash fboxsep-2 \backslash fboxrule}{ \series default is inserted in \SpecialChar TeX mode before the formula. \series bold \backslash linewidth \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout L \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash linewidth \end_layout \end_inset \end_layout \end_inset is the line width set for the document. Because the frame is outside the parbox, two times the frame separation and the frame thickness must be subtracted from the line width. To be able to multiply and subtract in arguments, the \SpecialChar LaTeX -package \series bold calc \series default \begin_inset Foot status collapsed \begin_layout Plain Layout \series bold calc \series default is part of every \SpecialChar LaTeX standard installation. \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout calc \end_layout \end_inset \end_layout \end_inset must be loaded in the \SpecialChar LaTeX -preamble with the line \end_layout \begin_layout Standard \series bold \backslash usepackage{calc} \end_layout \begin_layout Standard Behind the formula both boxes are closed by entering \series bold }} \series default in \SpecialChar TeX mode. Here is an example: \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fboxsep 5mm \backslash fboxrule 5mm \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fbox{ \backslash parbox{ \backslash linewidth-2 \backslash fboxsep-2 \backslash fboxrule}{ \end_layout \end_inset \begin_inset Formula \begin{equation} \int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)} \end{equation} \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout }} \end_layout \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fboxrule 0.4pt \backslash fboxsep 3pt \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset As a parbox is used as the argument of \series bold \backslash fbox \series default , there is in this case no difference between \series bold \backslash fbox \series default and \series bold \backslash boxed \series default . \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset Paragraph boxes are very useful to comment formulas directly. To do this, \series bold \backslash parbox \series default is used in combination with the command \series bold \backslash tag \series default . (more about \series bold \backslash tag \series default see \begin_inset CommandInset ref LatexCommand ref reference "subsec:User-defined-Numbering" nolink "false" \end_inset ) \end_layout \begin_layout Standard An example of a formula commented with \series bold \backslash parbox \series default : \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash [5x-7b=3b \backslash tag*{ \backslash parbox{5cm}{ \end_layout \end_inset This is a description. It is distinctly separated from the formula and multiline. \begin_inset ERT status collapsed \begin_layout Plain Layout }} \backslash ] \end_layout \end_inset \end_layout \begin_layout Standard Such a formula must be inserted completely in \SpecialChar TeX mode because \SpecialChar LyX does not yet support the command \series bold \backslash parbox \series default in formulas. The formula is created with the following command sequence: \end_layout \begin_layout Standard The command \series bold \backslash [5x-7b=3b \backslash tag* \backslash { \backslash parbox{5cm}{ \series default is inserted in \SpecialChar TeX mode. \begin_inset Foot status collapsed \begin_layout Plain Layout When the formula style \series bold Indented \series default is used, \series bold \backslash tag* \backslash { \series default can also be replaced by \series bold \backslash hfill \series default . (formula styles see \begin_inset CommandInset ref LatexCommand ref reference "sec:Formula-Styles" nolink "false" \end_inset ) \end_layout \end_inset Then the description follows as normal text and finally \series bold }} \backslash ] \series default is inserted in \SpecialChar TeX mode. The commands \series bold \backslash [ \series default and \series bold \backslash ] \series default create a displayed formula. \end_layout \begin_layout Standard The advantages of \series bold \backslash parbox \series default can be seen in this example that was \begin_inset Quotes eld \end_inset commented \begin_inset Quotes erd \end_inset using the mathematical textmode: \begin_inset Formula \[ 5x-7b=3b\textrm{This is a description. It is not separated from the formula ...} \] \end_inset \end_layout \begin_layout Section Operators \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Operators \end_layout \end_inset \end_layout \begin_layout Subsection Big Operators \begin_inset CommandInset label LatexCommand label name "subsec:Big-Operators" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Operators \begin_inset IndexMacro subentry status open \begin_layout Plain Layout big \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Sums \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Integrals \end_layout \end_inset \end_layout \begin_layout Standard To be able to use all of the integral operators listed here, the \family sans Load automatically \family default option for the \family sans esint package \family default must be set in the document settings under \family sans Math \begin_inset space ~ \end_inset Options \family default . \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash int \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout I \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash int \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\int$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash oint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\oint$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ointctrclockwise \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ointctrclockwise$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ointclockwise \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ointclockwise$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sqint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sqint$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash fint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\fint$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash landupint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\landupint$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash landdownint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\landdownint$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigcap \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigcap$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigcup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigcup$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sum \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash sum \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sum$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash prod \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout P \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash prod \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\prod$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash coprod \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\coprod$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigodot \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigodot$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigotimes \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigotimes$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigoplus \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigoplus$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigwedge \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigwedge$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigvee \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigvee$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigsqcup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigsqcup$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash biguplus \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\biguplus$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard All big operators can also be inserted via the math toolbar button \begin_inset Info type "icon" arg "math-insert \\intop" \end_inset . \end_layout \begin_layout Standard The operators are called big because they are bigger than the sometimes equal looking binary operators. All big operators can have limits as described in the next subsection. \end_layout \begin_layout Standard For all integral operators there is a second version available, ending in \series bold op \series default : \series bold \backslash intop \series default , \series bold \backslash ointop \series default etc. These operators differ in the style the operator limits are displayed, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Operator-Limits" nolink "false" \end_inset . \end_layout \begin_layout Subsubsection* Advice for Integrals \end_layout \begin_layout Standard The letter \emph on d \emph default in an integral is an operator that has to be set upright. This is done by highlighting the \emph on d \emph default and using the keyboard shortcut \begin_inset Info type "shortcut" arg "font-roman" \end_inset \begin_inset Foot status collapsed \begin_layout Plain Layout Font styles \series bold \series default see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Font-Styles" nolink "false" \end_inset \end_layout \end_inset . Also the smallest space is inserted before the \emph on d \emph default , as this is usual for operators. An example: \end_layout \begin_layout Standard incorrect: \begin_inset Formula $\int A(x)dx$ \end_inset \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout in \end_layout \end_inset correct: \begin_inset Formula $\int A(x)\,\mathrm{d}x$ \end_inset \end_layout \begin_layout Standard The following commands exist for multiple integrals: \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash iint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\iint$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash oiint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\oiint$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sqiint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sqiint$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash iiint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\iiint$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash iiiint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\iiiint$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dotsint \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dotsint$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Subsection Operator Limits \begin_inset CommandInset label LatexCommand label name "subsec:Operator-Limits" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Operators \begin_inset IndexMacro subentry status open \begin_layout Plain Layout Limits \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Limits are created by super- and subscripts: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash prod^ \backslash infty \begin_inset space \textvisiblespace{} \end_inset \begin_inset Formula $\to$ \end_inset _0 \begin_inset Formula $\to$ \end_inset A(x) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\prod_{0}^{\infty}A(x)$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard Limits of inline formulas are set on the right side of the operator. Limits in displayed formulas are set above or below the operator, except for integral limits. \end_layout \begin_layout Standard To force the limits to be set beside the operator, the cursor is placed directly behind the operator and the limits type is changed with the menu \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Change Limits Type \family default to \family sans \series bold Inline \family default \series default (shortcut \begin_inset Info type "shortcut" arg "math-limits" \end_inset ). An example: \end_layout \begin_layout Standard The default displayed formulas limits type is this: \begin_inset Formula \[ \sum_{x=0}^{\infty}\frac{1}{x^{2}} \] \end_inset This is how it looks when the limits type is changed to \family sans \series bold Inline \family default \series default : \begin_inset Formula \[ \sum\nolimits_{x=0}^{\infty}\frac{1}{x^{2}} \] \end_inset For integrals, except those ending with \series bold op \series default like \series bold \backslash intop \series default , \series bold \backslash ointop \series default etc., the limits by default are set beside the operator. But for multiple integrals the limits are often set below the operator. In the following example the limits type was set to \series bold Display \series default and so set below the integrals: \begin_inset Formula \begin{equation} \iiint\limits_{V}X\,\mathrm{d}V=U\label{eq:VolInt} \end{equation} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset To specify conditions for limits, the commands \series bold \backslash subarray \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash subarray \end_layout \end_inset \end_layout \end_inset and \series bold \backslash substack \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash substack \end_layout \end_inset \end_layout \end_inset are used. To create this expression \begin_inset Formula \begin{equation} \sum_{\begin{subarray}{c} 0 \begin_inset Text \begin_layout Plain Layout Command \begin_inset Note Note status collapsed \begin_layout Plain Layout \series bold \backslash raisebox \series default is only used as spacer. \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout + \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $+$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout - \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $-$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash pm \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\pm$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mp \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mp$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cdot \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\cdot$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash times \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\times$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash div \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\div$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash raisebox{-1.2mm}{ \end_layout \end_inset * \begin_inset ERT status collapsed \begin_layout Plain Layout } \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $*$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash star \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\star$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash circ \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\circ$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash diamond \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\diamond$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bullet \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bullet$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash nabla \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\nabla$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigtriangledown \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigtriangledown$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigtriangleup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigtriangleup$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Box \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Box$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cap \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\cap$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\cup$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dagger \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dagger$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ddagger \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ddagger$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash wr \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\wr$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigcirc \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigcirc$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash wedge \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\wedge$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash vee \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\vee$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash oplus \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\oplus$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ominus \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ominus$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash otimes \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\otimes$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash oslash \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\oslash$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash odot \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\odot$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash amalg \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\amalg$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash uplus \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\uplus$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash setminus \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\setminus$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sqcap \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sqcap$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sqcup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sqcup$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash triangleleft \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\triangleleft$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash triangleright \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\triangleright$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard All binary operators can also be inserted via the math toolbar button \begin_inset Info type "icon" arg "math-insert \\pm" \end_inset . \end_layout \begin_layout Standard To typeset the Laplace operator, \series bold \backslash Delta \series default or \series bold \backslash nabla \series default ^ \series bold 2 \series default ( \begin_inset Formula $\nabla^{2}$ \end_inset ) can also be used instead of \series bold \backslash bigtriangleup \series default . \end_layout \begin_layout Standard The character \family sans Menu Separator \family default from the menu \family sans Insert\SpecialChar menuseparator Special Character \family default is the operator \series bold \backslash triangleright \series default . \end_layout \begin_layout Subsection Self-defined Operators \begin_inset CommandInset label LatexCommand label name "subsec:Self-defined-Operators" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Operators \begin_inset IndexMacro subentry status open \begin_layout Plain Layout self-defined \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard With the help of the command \series bold \backslash DeclareMathOperator \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout D \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \begin_inset IndexMacro sortkey status open \begin_layout Plain Layout \backslash dbinom \end_layout \end_inset \backslash DeclareMathOperator \end_layout \end_inset \end_layout \end_inset , custom operators can be defined in the \SpecialChar LaTeX -preamble. Its command scheme is: \end_layout \begin_layout Standard \series bold \backslash DeclareMathOperator{new command}{display} \end_layout \begin_layout Standard Display can be characters or symbols that define how the operator looks in the output. To define a big operator a * is set behind the command. All self-defined big operators can have limits as described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Operator-Limits" nolink "false" \end_inset . \end_layout \begin_layout Standard For example the \SpecialChar LaTeX -preamble line \end_layout \begin_layout Standard \series bold \backslash DeclareMathOperator*{ \backslash Lozenge}{ \backslash blacklozenge} \end_layout \begin_layout Standard defines the command \series bold \backslash Lozenge \series default , that inserts a big operator consisting of the black lozenge symbol from \begin_inset CommandInset ref LatexCommand ref reference "subsec:Miscellaneous-Symbols" nolink "false" \end_inset : \begin_inset Formula \[ \Lozenge_{n=1}^{\infty} \] \end_inset The command for this formula is: \series bold \backslash Lozenge \series default ^ \series bold \backslash infty \begin_inset Formula $\to$ \end_inset _n=1 \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset When self-defined operators are not used several times in the document, they can also be defined with the commands \series bold \backslash mathop \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout M \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash mathop \end_layout \end_inset \end_layout \end_inset and \series bold \backslash mathbin \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout M \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash mathbin \end_layout \end_inset \end_layout \end_inset , which have the following scheme: \end_layout \begin_layout Standard \series bold \backslash mathop{display} \series default and \series bold \backslash mathbin{display} \end_layout \begin_layout Standard \series bold \backslash mathop \series default defines big operators, \series bold \backslash mathbin \series default binary operators. \end_layout \begin_layout Standard \series bold \backslash mathop \series default can be used to use one limit for several operators: \end_layout \begin_layout Standard \begin_inset Formula \[ \mathop{\sum\negmedspace\sum}_{i,j=1}^{N} \] \end_inset \end_layout \begin_layout Standard The command for the formula above is: \begin_inset Newline newline \end_inset \series bold \backslash mathop{ \backslash sum \backslash negmedspace \backslash sum \series default \begin_inset space \textvisiblespace{} \end_inset \series bold \begin_inset Formula $\to$ \end_inset ^N \series default \begin_inset space \textvisiblespace{} \end_inset \series bold _i,j=1 \end_layout \begin_layout Section Fonts \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Fonts \end_layout \end_inset \end_layout \begin_layout Subsection Font Styles \begin_inset CommandInset label LatexCommand label name "subsec:Font-Styles" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Font \begin_inset IndexMacro subentry status open \begin_layout Plain Layout style \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Latin letters in formulas can be set in one of the following font styles: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Shortcut \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathbb \series bold \begin_inset space \textvisiblespace{} \end_inset \series default ABC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathbb{ABC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout - \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathbf \series bold \begin_inset space \textvisiblespace{} \end_inset \series default AbC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathbf{AbC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "shortcut" arg "font-bold" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash boldsymbol \series bold \begin_inset space \textvisiblespace{} \end_inset \series default AbC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\boldsymbol{AbC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "shortcut" arg "font-boldsymbol" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathcal \series bold \begin_inset space \textvisiblespace{} \end_inset \series default ABC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathcal{ABC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout - \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathfrak \series bold \begin_inset space \textvisiblespace{} \end_inset \series default AbC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathfrak{AbC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout - \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Shortcut \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathit \series bold \begin_inset space \textvisiblespace{} \end_inset \series default AbC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathit{AbC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout - \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathrm \series bold \begin_inset space \textvisiblespace{} \end_inset \series default AbC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathrm{AbC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "shortcut" arg "font-roman" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathsf \series bold \begin_inset space \textvisiblespace{} \end_inset \series default AbC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathsf{AbC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "shortcut" arg "font-sans" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathtt \series bold \begin_inset space \textvisiblespace{} \end_inset \series default AbC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathtt{AbC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "shortcut" arg "font-typewriter" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mathscr \series bold \begin_inset space \textvisiblespace{} \end_inset \series default ABC \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathscr{ABC}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout - \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default The styles \series bold \backslash mathbb \series default , \series bold \backslash mathcal \series default and \series bold \backslash mathscr \series default can only be used for big letters. \end_layout \end_inset \end_layout \begin_layout Standard The style \series bold \backslash mathnormal \series default is predefined. \end_layout \begin_layout Standard The style commands also work for letters in mathematical constructs: \begin_inset Formula \[ \mathfrak{A=\frac{b}{C}} \] \end_inset \end_layout \begin_layout Standard Characters in mathematical text don't appear in a math font style but in the text font style \series bold \backslash textrm \series default . Note that their style can't be set correctly via the text style dialog. This is a known bug in \SpecialChar LyX . \begin_inset Foot status collapsed \begin_layout Plain Layout \begin_inset CommandInset href LatexCommand href name "LyX-bug #4629" target "https://www.lyx.org/trac/ticket/4629" literal "false" \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Instead of the style commands, \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Text Style \family default dialog, or the toolbar button, \begin_inset Info type "icon" arg "math-insert \\font" \end_inset can be used. \end_layout \begin_layout Subsection Bold Formulas \begin_inset CommandInset label LatexCommand label name "subsec:Bold-Formulas" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout bold \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard To make a complete formula bold, the command \series bold \backslash mathbf \series default from the previous subsection cannot be used because it doesn't work for small Greek letters. Additionally it always prints Latin letters upright, as in the following equation: \end_layout \begin_layout Standard \begin_inset Formula \[ \mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{equation with \textbackslash mathbf} \] \end_inset \end_layout \begin_layout Standard To display the formula correctly, the command \series bold \backslash boldsymbol \series default is used: \begin_inset Formula \[ \boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation with \textbackslash boldsymbol}} \] \end_inset It is also possible to set the formula in a \series bold boldmath environment \series default . This environment is created by inserting the command \series bold \backslash boldmath \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout B \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash boldmath \end_layout \end_inset \end_layout \end_inset in \SpecialChar TeX mode. To end the environment, the command \series bold \backslash unboldmath \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout U \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash unboldmath \end_layout \end_inset \end_layout \end_inset is inserted in \SpecialChar TeX mode. \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash boldmath \end_layout \end_inset \begin_inset Formula \[ \int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{equation in a boldmath environment} \] \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash unboldmath \end_layout \end_inset \end_layout \begin_layout Subsection Colored Formulas \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout colored \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Formulas can be colored like normal text: Highlight a formula or a formula part and use the \family sans Text Style \family default dialog. Here is a formula in magenta: \begin_inset Formula \[ {\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}} \] \end_inset \end_layout \begin_layout Standard You can also define your own colors as described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Colored-Boxes" nolink "false" \end_inset . They can be used with the \SpecialChar TeX code command \series bold \backslash textcolor \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout T \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash textcolor \end_layout \end_inset \end_layout \end_inset in the scheme \end_layout \begin_layout Standard \series bold \backslash textcolor{color}{characters or formula} \end_layout \begin_layout Standard The following example was colored completely dark green and partly red: \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash textcolor{darkgreen}{ \end_layout \end_inset \begin_inset Formula \[ \int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)} \] \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout } \end_layout \end_inset \end_layout \begin_layout Standard Due to a bug in \SpecialChar LyX only complete formulas can be colored with self-defined colors. \begin_inset Foot status collapsed \begin_layout Plain Layout \begin_inset CommandInset href LatexCommand href name "LyX-bug #5269" target "https://www.lyx.org/trac/ticket/5269" literal "false" \end_inset \end_layout \end_inset \end_layout \begin_layout Subsection Font Sizes \begin_inset CommandInset label LatexCommand label name "subsec:Font-Sizes" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Font \begin_inset IndexMacro subentry status open \begin_layout Plain Layout size \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard As with characters in text, the following size commands are available for formula characters: \end_layout \begin_layout Standard \series bold \backslash Huge \series default , \series bold \backslash huge \series default , \series bold \backslash LARGE \series default , \series bold \backslash Large \series default , \series bold \backslash large \series default , \series bold \backslash normalsize \series default , \series bold \backslash small \series default , \begin_inset Newline newline \end_inset \series bold \backslash footnotesize \series default , \series bold \backslash scriptsize \series default and \series bold \backslash tiny \end_layout \begin_layout Standard The font size produced by the commands depends on the document's original font size, which corresponds to the command \series bold \backslash normalsize \series default . The other commands produce character sizes smaller or larger than \series bold \backslash normalsize \series default . There are however limits to how small or large the font size can be changed. If for example the document font size is 12 \begin_inset space \thinspace{} \end_inset pt, the command \series bold \backslash Huge \series default switches to the same size as \series bold \backslash huge \series default . \end_layout \begin_layout Standard A size command is inserted in \SpecialChar TeX mode before a formula and sets the size for all of the following formulas and text characters. To switch back to the initial size, the command \series bold \backslash normalsize \series default is inserted behind the formula, again in \SpecialChar TeX mode. \end_layout \begin_layout Standard Size can also be changed within a formula using the following size commands or the toolbar button \begin_inset Info type "icon" arg "math-insert \\style" \end_inset : \end_layout \begin_layout Standard \noindent \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash displaystyle \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout D \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash displaystyle \end_layout \end_inset \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula ${\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash textstyle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula ${\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash scriptstyle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula ${\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash scriptscriptstyle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula ${\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard After entering these commands, a blue box appears in which the formula parts are inserted. \end_layout \begin_layout Standard There is another method for changing the font size, although it only works for symbols or letters in mathematical text. To use it, one of the above text size commands is inserted into mathematical text. All characters until the end of the mathematical text or until another size command will have the selected size. Two examples: \begin_inset VSpace -2mm \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash huge \end_layout \end_inset \begin_inset Formula \[ A=\frac{B}{c}\cdot\maltese \] \end_inset \begin_inset Formula \[ \maltese A\textrm{{\Large \maltese\textit{A}}}\textrm{{\tiny \maltese\textit{A}}} \] \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash normalsize \end_layout \end_inset \begin_inset VSpace medskip \end_inset Before the first formula the command \series bold \backslash huge \series default was inserted. The command for the second formula is: \begin_inset Newline newline \end_inset \series bold \backslash maltese \begin_inset space \textvisiblespace{} \end_inset A Alt+M M \backslash Large \begin_inset space \textvisiblespace{} \end_inset \backslash maltese \begin_inset space \textvisiblespace{} \end_inset \backslash textit \begin_inset space \textvisiblespace{} \end_inset A \begin_inset Formula $\to$ \end_inset \begin_inset Formula $\to$ \end_inset \begin_inset Newline newline \end_inset \begin_inset space \hspace*{} \length 1cm \end_inset Alt+M \series default \series bold M \backslash tiny \begin_inset space \textvisiblespace{} \end_inset \backslash maltese \begin_inset space \textvisiblespace{} \end_inset \backslash textit \begin_inset space \textvisiblespace{} \end_inset A \end_layout \begin_layout Standard If a symbol cannot be displayed in different sizes, it will always be displayed in the default size. \end_layout \begin_layout Section Greek Letters \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Greek letters \end_layout \end_inset \end_layout \begin_layout Standard Greek letters can be inserted via the toolbar button \begin_inset Info type "icon" arg "math-insert \\alpha" \end_inset as well as by command. All international typesetting norms purport that Greek letters in math have to be typeset italic/slanted. In some languages, like French or Russian, they are nevertheless sometimes typeset upright. \end_layout \begin_layout Subsection Small Letters \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Greek letters \begin_inset IndexMacro subentry status open \begin_layout Plain Layout small \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash alpha \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\alpha$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash beta \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\beta$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash gamma \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\gamma$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash delta \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\delta$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash epsilon \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\epsilon$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varepsilon \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varepsilon$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash zeta \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\zeta$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash eta \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\eta$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash theta \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\theta$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash vartheta \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\vartheta$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash iota \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\iota$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash kappa \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\kappa$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varkappa \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varkappa$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lambda \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\lambda$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mu \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mu$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash nu \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\nu$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash xi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout o \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $o$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash pi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\pi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varpi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varpi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rho \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\rho$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varrho \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varrho$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sigma \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sigma$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varsigma \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varsigma$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash tau \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\tau$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash upsilon \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\upsilon$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash phi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\phi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varphi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varphi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash chi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\chi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash psi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\psi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash omega \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\omega$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard Creating upright Greek letters is explained in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Upright-small-Greek" nolink "false" \end_inset . \end_layout \begin_layout Subsection Big Letters \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Greek letters \begin_inset IndexMacro subentry status open \begin_layout Plain Layout big \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Gamma \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Gamma$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Delta \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Delta$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Theta \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Theta$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Lambda \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Lambda$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Xi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Xi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Pi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Pi$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Sigma \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Sigma$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Upsilon \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Upsilon$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Phi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Phi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Psi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Psi$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Omega \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Omega$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset The big Greek letters appearing upright is caused by a design bug in \SpecialChar TeX . To create correct italic big letters, begin every command with \series bold var \series default . For example the command \series bold \backslash varGamma \series default produces \begin_inset Formula $\varGamma$ \end_inset . Another way is to load the package \series bold fixmath \series default \begin_inset Foot status collapsed \begin_layout Plain Layout \series bold fixmath \series default is part of the \SpecialChar LaTeX -package \series bold was \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout was \end_layout \end_inset \end_layout \end_inset . \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout fixmath \end_layout \end_inset \end_layout \end_inset with the \SpecialChar LaTeX -preamble line \end_layout \begin_layout Standard \series bold \backslash usepackage{fixmath} \end_layout \begin_layout Standard Then all big Greek letters in a document will automatically be typeset italic. \end_layout \begin_layout Subsection Bold Letters \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Greek letters \begin_inset IndexMacro subentry status open \begin_layout Plain Layout bold \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Greek letters cannot be set with different font styles like Latin letters. They can only be made bold with the command \series bold \backslash boldsymbol \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout B \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash boldsymbol \end_layout \end_inset \end_layout \end_inset . \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Upsilon \backslash boldsymbol \backslash Upsilon \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Upsilon\boldsymbol{\Upsilon}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash theta \backslash boldsymbol \backslash theta \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\theta\boldsymbol{\theta}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Section Symbols \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash texorpdfstring{ \end_layout \end_inset \begin_inset Foot status collapsed \begin_layout Plain Layout A list with all symbols of most of the \SpecialChar LaTeX -packages can be found in \begin_inset CommandInset citation LatexCommand cite key "Symbols" literal "true" \end_inset . \end_layout \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout }{} \end_layout \end_inset \begin_inset Note Note status collapsed \begin_layout Plain Layout \backslash texorpdfstring is used to avoid that the footnote appears in the PDF-bookmark. \end_layout \begin_layout Plain Layout More about \backslash texorpdfstring is in section \begin_inset CommandInset ref LatexCommand ref reference "subsec:Formulas-in-Section" nolink "false" \end_inset . \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Symbols \end_layout \end_inset \end_layout \begin_layout Standard Many of the symbols listed in this section can also be inserted via the toolbar buttons \begin_inset Info type "icon" arg "math-insert \\nabla" \end_inset and \begin_inset Info type "icon" arg "math-insert \\digamma" \end_inset . \end_layout \begin_layout Subsection Mathematical Symbols \begin_inset CommandInset label LatexCommand label name "subsec:Mathematical-Symbols" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Symbols \begin_inset IndexMacro subentry status open \begin_layout Plain Layout mathematical \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Symbol \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash neg \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\neg$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Im \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Im$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Re \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Re$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash aleph \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\aleph$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash partial \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\partial$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash infty \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\infty$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash wp \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\wp$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash imath \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\imath$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash jmath \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\jmath$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Symbol \begin_inset Note Note status collapsed \begin_layout Plain Layout \series bold \backslash raisebox \series default is only used as spacer. \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash forall \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\forall$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash exists \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\exists$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash nexists \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\nexists$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash emptyset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\emptyset$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varnothing \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varnothing$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dag \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dag$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ddag \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ddag$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash complement \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash raisebox{-0.8mm}{ \end_layout \end_inset \begin_inset Formula $\complement$ \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout } \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Bbbk \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Bbbk$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Symbol \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash prime \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\prime$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash backprime \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\backprime$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mho \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mho$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash triangle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\triangle$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash angle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\angle$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash measuredangle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\measuredangle$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sphericalangle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sphericalangle$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash top \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\top$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bot \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bot$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Subsection Miscellaneous Symbols \begin_inset CommandInset label LatexCommand label name "subsec:Miscellaneous-Symbols" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Symbols \begin_inset IndexMacro subentry status open \begin_layout Plain Layout miscellaneous \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \noindent \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Symbol \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash flat \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\flat$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash natural \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\natural$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sharp \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sharp$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash surd \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\surd$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash checkmark \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\checkmark$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash yen \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\yen$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash pounds \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\pounds$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout $ \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\$$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout § \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $§$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Symbol \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash hbar \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\hbar$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash hslash \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\hslash$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash clubsuit \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\clubsuit$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash spadesuit \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\spadesuit$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bigstar \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bigstar$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash blacklozenge \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\blacklozenge$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash blacktriangle \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\blacktriangle$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash blacktiangledown \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\blacktriangledown$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bullet \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bullet$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Symbol \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash diamondsuit \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\diamondsuit$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Diamond \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Diamond$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash heartsuit \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\heartsuit$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash P \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\P$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash copyright \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\copyright$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash circledR \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\circledR$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash maltese \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\maltese$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash diagup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\diagup$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash diagdown \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\diagdown$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard Some symbols can be displayed in different sizes, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Font-Sizes" nolink "false" \end_inset . \end_layout \begin_layout Subsection The Euro-Symbol € \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Symbols \begin_inset IndexMacro subentry status open \begin_layout Plain Layout Euro-symbol \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout \begin_inset IndexMacro sortkey status open \begin_layout Plain Layout \backslash \end_layout \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash officialeuro \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard To use the Euro symbol in formulas, the \SpecialChar LaTeX -package \series bold eurosym \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout eurosym \end_layout \end_inset \end_layout \end_inset must be installed and loaded with the \SpecialChar LaTeX -preamble line \end_layout \begin_layout Standard \series bold \backslash usepackage[gennarrow]{eurosym} \end_layout \begin_layout Standard The Euro symbol can now be inserted with the command \series bold \backslash euro \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout E \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash euro \end_layout \end_inset \end_layout \end_inset . \end_layout \begin_layout Standard The Euro symbol can directly be inserted with the € key in mathematical text, without having \series bold eurosym \series default installed. When \series bold eurosym \series default is installed, \series bold \backslash euro \series default can also be inserted in \SpecialChar TeX mode. The official currency symbol can then be inserted with the command \series bold \backslash officialeuro \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout O \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash officialeuro \end_layout \end_inset \end_layout \end_inset , which is also only available in \SpecialChar TeX mode. \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash ifeurosym \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following table will only be displayed when the \SpecialChar LaTeX -package \series bold eurosym \series default is installed. \end_layout \end_inset \end_layout \begin_layout Standard An overview about the different Euro symbols: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash cmidrule[0.08em]{2-3} \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Symbol \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout formula \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash euro \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\euro$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout mathematical text \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout € \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mbox{€}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \SpecialChar TeX mode \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash officialeuro \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash officialeuro \end_layout \end_inset \end_layout \end_inset \end_inset \begin_inset Note Note status collapsed \begin_layout Plain Layout \series bold \backslash cmidrule \series default is used here only for table borders. See sec. \family sans Formal Tables \family default of the \emph on EmbeddedObjects \emph default manual for details. \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash else \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following will be displayed when the \SpecialChar LaTeX -package \series bold eurosym \series default is not installed: \end_layout \end_inset \end_layout \begin_layout Standard You need to install the \SpecialChar LaTeX -package \series bold eurosym \series default to see the rest of this subsection in the output. \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fi \end_layout \end_inset \end_layout \begin_layout Section Relations \begin_inset CommandInset label LatexCommand label name "sec:Relations" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Relations \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Comparisons \begin_inset IndexMacro see status open \begin_layout Plain Layout Relations \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard All of the following relations can also be inserted via the toolbar button \begin_inset Info type "icon" arg "math-insert \\leq" \end_inset . \end_layout \begin_layout Standard \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Relation \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout < \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $<$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash le \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\le$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ll \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ll$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash prec \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\prec$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash preceq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\preceq$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash subset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\subset$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash subseteq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\subseteq$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sqsubseteq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sqsubseteq$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash in \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\in$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash vdash \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\vdash$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash smile \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\smile$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lhd \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\lhd$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash unlhd \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\unlhd$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash gtrless \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\gtrless$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash mid \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mid$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash nmid \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\nmid$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Relation \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout = \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $=$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash not= \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\not=$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash equiv \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\equiv$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sim \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sim$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash simeq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\simeq$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash approx \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\approx$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cong \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\cong$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bowtie \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bowtie$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash notin \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\notin$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash perp \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\perp$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash propto \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\propto$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash asymp \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\asymp$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash doteq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\doteq$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash circeq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\circeq$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash models \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\models$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash widehat= \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\widehat{=}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Relation \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout > \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $>$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ge \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ge$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash gg \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\gg$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash succ \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\succ$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash succeq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\succeq$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash supset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\supset$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash supseteq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\supseteq$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sqsupseteq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\sqsupseteq$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ni \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ni$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dashv \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\dashv$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash frown \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\frown$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rhd \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\rhd$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash unrhd \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\unrhd$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lessgtr \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\lessgtr$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash parallel \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\parallel$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash nparallel \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\nparallel$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset The characters \series bold \backslash lhd \series default and \series bold \backslash rhd \series default are bigger than the equal looking operators \series bold \backslash triangleleft \series default and \series bold \backslash triangleright \series default , respectively. \end_layout \begin_layout Standard \SpecialChar LyX supports also many special relations. Use the toolbar button \begin_inset Info type "icon" arg "math-insert \\leqq" \end_inset to see a list of these relations. \end_layout \begin_layout Standard Contrary to symbols, relations are always surrounded by space. \end_layout \begin_layout Standard Relations with labels can be created with the command \series bold \backslash stackrel \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash stackrel \end_layout \end_inset \end_layout \end_inset : \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A(r) \backslash stackrel \begin_inset space \textvisiblespace{} \end_inset r \backslash to \backslash infty \begin_inset space \textvisiblespace{} \end_inset \begin_inset Formula $\downarrow$ \end_inset \backslash approx \begin_inset space \textvisiblespace{} \end_inset \begin_inset space \textvisiblespace{} \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A(r)\stackrel{r\to\infty}{\approx}B$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Section Functions \end_layout \begin_layout Subsection Predefined Functions \begin_inset CommandInset label LatexCommand label name "subsec:Predefined-Functions" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Functions \begin_inset IndexMacro subentry status open \begin_layout Plain Layout predefined \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard In general, variables are set \emph on italic \emph default in mathematical expressions, but not function names, because \begin_inset Formula $sin$ \end_inset could be misunderstood as \begin_inset Formula $s\cdot i\cdot n$ \end_inset . Also predefined functions are separated a bit from the character in front of them. They are inserted as commands starting with a backslash before their name. \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Asin(x)+B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $Asin(x)+B$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \quad{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A \backslash sin(x)+B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\sin(x)+B$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard The following functions are predefined: \end_layout \begin_layout Standard \begin_inset VSpace -2mm \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sin \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sinh \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash arcsin \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cos \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cosh \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash arccos \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash inf \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash tan \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash tanh \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash arctan \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lim \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cot \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash coth \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash arg \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash liminf \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash sec \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash min \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash deg \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash limsup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash csc \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash max \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash det \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Pr \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ln \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash exp \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dim \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash hom \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lg \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash log \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ker \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash gcd \end_layout \end_inset \end_inset \end_layout \begin_layout Standard They can also be inserted with the math toolbar button \begin_inset Info type "icon" arg "math-insert \\functions" \end_inset . \end_layout \begin_layout Subsection Self-defined Functions \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Functions \begin_inset IndexMacro subentry status open \begin_layout Plain Layout self-defined \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard To use a function that is not predefined, for instance the sign function sgn(x), there are two possibilities: \end_layout \begin_layout Itemize Define the function by inserting the following line in the \SpecialChar LaTeX -preamble \begin_inset Foot status collapsed \begin_layout Plain Layout For more about \series bold \backslash DeclareMathOperator \series default see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Self-defined-Operators" nolink "false" \end_inset . \end_layout \end_inset \begin_inset Newline newline \end_inset \begin_inset VSpace -3mm \end_inset \begin_inset Newline newline \end_inset \series bold \backslash DeclareMathOperator{ \backslash sgn}{sgn} \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout D \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \begin_inset IndexMacro sortkey status collapsed \begin_layout Plain Layout \backslash dbinom \end_layout \end_inset \backslash DeclareMathOperator \end_layout \end_inset \end_layout \end_inset \begin_inset Newline newline \end_inset \begin_inset VSpace -2mm \end_inset \begin_inset Newline newline \end_inset Now the newly defined function can be called with the command \series bold \backslash sgn \series default . \end_layout \begin_layout Itemize Write the formula as usual, mark the formula name, in our example the letters \emph on sgn \emph default , and change it to mathematical text. Finally, insert a space between the prefactor and function. \end_layout \begin_layout Standard The result is the same with both methods as with a predefined function \begin_inset Foot status collapsed \begin_layout Plain Layout In \SpecialChar LyX self-defined functions are displayed red, predefined ones black. \end_layout \end_inset : \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A \backslash sgn(x)+B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\sgn(x)+B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A \backslash , \begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt+M}\,\textrm{M}}$ \end_inset (x)+B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\,\textrm{sgn}(x)+B$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard The first method is more suitable when the self-defined function will be used several times. \end_layout \begin_layout Subsection Limits \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Limits \end_layout \end_inset \end_layout \begin_layout Standard For limits, in addition to the commands \series bold \backslash lim \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout L \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash lim \end_layout \end_inset \end_layout \end_inset , \series bold \backslash liminf \series default and \series bold \backslash limsup \series default the following functions are defined: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varliminf \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varliminf$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varlimsup \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varlimsup$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varprojlim \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varprojlim$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash varinjlim \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\varinjlim$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset The limit is created by inserting a subscript. It is set right beside the function in an inline formula: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lim_x \backslash to \begin_inset space \textvisiblespace{} \end_inset A \begin_inset space \textvisiblespace{} \end_inset x=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\lim_{x\to A}x=B$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard In a displayed formula the limit is set below the formula, as usual: \begin_inset Formula \[ \lim_{x\to A}x=B \] \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset \end_layout \begin_layout Standard How to adjust the typesetting of the limits see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Operator-Limits" nolink "false" \end_inset . \end_layout \begin_layout Subsection Modulo-Functions \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Functions \begin_inset IndexMacro subentry status open \begin_layout Plain Layout modulo- \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard The modulo-function is special, because it exists in four variants. The variants in an inline formula are: \end_layout \begin_layout Standard \noindent \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout a \backslash mod \begin_inset space \textvisiblespace{} \end_inset b \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $a\mod b$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout a \backslash pmod \begin_inset space \textvisiblespace{} \end_inset b \begin_inset space \textvisiblespace{} \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $a\pmod b$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout a \backslash bmod \begin_inset space \textvisiblespace{} \end_inset b \begin_inset space \textvisiblespace{} \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $a\bmod b$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout a \backslash pod \begin_inset space \textvisiblespace{} \end_inset b \begin_inset space \textvisiblespace{} \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $a\pod b$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard In a display formula, more space is set before the function names for all variants but \series bold \backslash mod. \series default This later version is also the only one that does not take the \series bold b \series default as argument but acts as a binary operator. \end_layout \begin_layout Section Special Characters \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Special characters \end_layout \end_inset \end_layout \begin_layout Standard The characters ^ and _ would normally create a superscript and subscript, respectively. To get these characters you have to insert them with a leading \backslash . \end_layout \begin_layout Standard \noindent \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ^ \begin_inset space \textvisiblespace{} \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\mathcircumflex$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash _ \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\_$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Subsection Special Characters in Mathematical Text \end_layout \begin_layout Standard The following commands can only be used in mathematical text or in \SpecialChar TeX mode: \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash oe \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{œ}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash OE \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{Œ}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ae \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{æ}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash AE \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{Æ}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash aa \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{å}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash AA \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{Å}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash i \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{ı}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \begin_inset Note Note status collapsed \begin_layout Plain Layout The space of 0 \begin_inset space \thinspace{} \end_inset mm is used for separation, because otherwise the output will be ¡ and ¿ respectively. \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash o \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{ø}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash O \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{Ø}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash l \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{ł}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash L \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{Ł}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout ! \begin_inset space \hspace{} \length 0mm \end_inset ` \begin_inset space \textvisiblespace{} \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{!`}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout ? \begin_inset space \hspace{} \length 0mm \end_inset ` \begin_inset space \textvisiblespace{} \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{?`}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash j \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\textrm{ȷ}$ \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard The characters \begin_inset Formula $\textrm{Å}$ \end_inset and \begin_inset Formula $\textrm{Ø}$ \end_inset can also be inserted via the math toolbar button \begin_inset Info type "icon" arg "math-insert \\digamma" \end_inset . \end_layout \begin_layout Standard The commands \series bold ! \begin_inset space \hspace{} \length 0mm \end_inset ` \series default and \series bold ? \begin_inset space \hspace{} \length 0mm \end_inset ` \series default are exceptions because they can be inserted in \SpecialChar LyX directly to text. \end_layout \begin_layout Subsection Accents in Text \begin_inset CommandInset label LatexCommand label name "subsec:Accents-in-Text" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Accents \begin_inset IndexMacro subentry status open \begin_layout Plain Layout in text \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Any letter can be accented with the following commands. The commands must be inserted in \SpecialChar TeX mode. \end_layout \begin_layout Standard \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \begin_inset Quotes grd \end_inset e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash "e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash `e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash `e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ^ \begin_inset space \textvisiblespace{} \end_inset e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash ^e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash =e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash =e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash u \begin_inset space \textvisiblespace{} \end_inset e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash u e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash b \begin_inset space \textvisiblespace{} \end_inset e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash b e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash t \begin_inset space \textvisiblespace{} \end_inset ee \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash t ee \end_layout \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash H \begin_inset space \textvisiblespace{} \end_inset e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash H e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash 'e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash 'e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ~e \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Tilde \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash ~e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash .e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash .e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash v \begin_inset space \textvisiblespace{} \end_inset e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash v e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash d \begin_inset space \textvisiblespace{} \end_inset e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash d e \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash c \begin_inset space \textvisiblespace{} \end_inset e \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash c e \end_layout \end_inset \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset With the command \series bold \backslash t \series default also two different characters can be accented. The command \series bold \backslash t \begin_inset space \textvisiblespace{} \end_inset sz \series default creates: \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash t sz \end_layout \end_inset \end_layout \begin_layout Standard The accents \series bold ` \series default , \series bold ' \series default and \series bold ^ \series default can in combination with vowels be directly inserted with the keyboard without using \SpecialChar TeX mode. The same applies for the tilde \begin_inset Foot status collapsed \begin_layout Plain Layout This only applies for keyboards where the tilde is defined as accent. \end_layout \end_inset \series bold ~ \series default in combination with \emph on a \emph default , \emph on n \emph default , or \emph on o \emph default . \end_layout \begin_layout Standard The commands \series bold \backslash b \series default , \series bold \backslash c \series default , \series bold \backslash d \series default , \series bold \backslash H \series default , \series bold \backslash t \series default , \series bold \backslash u \series default , \series bold \backslash v \series default and accents that are inserted directly with the keyboard are also available in mathematical text. For the other accents there are special math commands used in formulas, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Accents-for-one" nolink "false" \end_inset . \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset With the command \series bold \backslash textcircled \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout T \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash textcircled \end_layout \end_inset \end_layout \end_inset any number or letter can be set into a circle, quasi accented with a circle, similar to the copyright symbol. \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash textcircled{w} \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash textcircled{w} \end_layout \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Large \backslash textcircled{ \backslash normalsize \backslash protect \backslash raisebox{-1.5pt}{W}} \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash Large \backslash textcircled{ \backslash normalsize \backslash protect \backslash raisebox{-1.5pt}W} \end_layout \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard One has to take care that the character fits into the circle. \series bold \backslash Large \series default \begin_inset Foot status collapsed \begin_layout Plain Layout See \begin_inset CommandInset ref LatexCommand ref reference "subsec:Font-Sizes" nolink "false" \end_inset \end_layout \end_inset specifies the size of the circle. With the help of \series bold \backslash raisebox \series default \begin_inset Foot status collapsed \begin_layout Plain Layout See \begin_inset CommandInset ref LatexCommand ref reference "subsec:Boxes-without-Frame" nolink "false" \end_inset \end_layout \end_inset the character can be centered. \end_layout \begin_layout Subsection Old-style Figures \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Old-style Figures \end_layout \end_inset \end_layout \begin_layout Standard Old-style figures (also known as old-style numerals) are created with the command \series bold \backslash oldstylenums \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout O \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash oldstylenums \end_layout \end_inset \end_layout \end_inset . The command can be used in formulas and in \SpecialChar TeX mode. The command scheme is: \end_layout \begin_layout Standard \series bold \backslash oldstylenums{number} \end_layout \begin_layout Standard The command \series bold \backslash oldstylenums{0123456789} \series default produces: \begin_inset Formula $\oldstylenums{0123456789}$ \end_inset \end_layout \begin_layout Section Formula Styles \begin_inset CommandInset label LatexCommand label name "sec:Formula-Styles" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout styles \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Itemize There are two different alignment styles: \end_layout \begin_deeper \begin_layout Description Centered is the predefined standard. \end_layout \begin_layout Description Indented can be set using the menu \family sans Document\SpecialChar menuseparator Settings \family default under \family sans Math \begin_inset space ~ \end_inset Options. \end_layout \begin_layout Standard When \series bold Indented \series default is used, the indentation can be adjusted. The default value depends on the document class. \end_layout \end_deeper \begin_layout Itemize Two different numbering styles are available in the menu \family sans Document\SpecialChar menuseparator Settings \family default under \family sans Math \begin_inset space ~ \end_inset Options \family default : \end_layout \begin_deeper \begin_layout Description Right is in most cases the default. \end_layout \begin_layout Description Left \end_layout \end_deeper \begin_layout Standard The chosen styles are used for all displayed formulas of the document. When both, centered and indented formulas should be created in a document, the style \series bold Centered \series default is used. The indented formulas are then set in a flalign environment, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Flalign-Environment" nolink "false" \end_inset . \end_layout \begin_layout Section Multiline Formulas \begin_inset CommandInset label LatexCommand label name "sec:Multiline-Formulas" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Subsection General \end_layout \begin_layout Standard In \SpecialChar LyX , multiline formulas are created by pressing \begin_inset Info type "shortcut" arg "newline-insert newline" \end_inset inside a formula. This creates either an \series bold align environment \series default that is described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Standard-align-Environment" nolink "false" \end_inset or, when automatically loading of the package \family sans AMS math \family default is disabled in the document settings, an \series bold eqnarray environment \series default that is described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Eqnarray-Environment" nolink "false" \end_inset . The align environment is recommended as it provides a typographically correct output in all cases. \end_layout \begin_layout Standard There are other multiline formula environments that can be created via the menu \family sans Insert\SpecialChar menuseparator Math \family default . These environments are described in the following sections. \end_layout \begin_layout Standard In all multiline formula environments a new line is created by pressing \begin_inset Info type "shortcut" arg "newline-insert newline" \end_inset . To add or delete lines, use the math toolbar buttons \begin_inset Info type "icon" arg "tabular-feature append-row" \end_inset or \begin_inset Info type "icon" arg "tabular-feature delete-row" \end_inset respectively, or the menu option \family sans Edit\SpecialChar menuseparator Rows & Columns \family default . \end_layout \begin_layout Subsubsection Line Separation \begin_inset CommandInset label LatexCommand label name "subsec:Line-Separation" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout Line separation \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Sometimes there is not enough space in multiline formulas between the lines: \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*} \end_inset \end_layout \begin_layout Standard In \SpecialChar LaTeX additional line space is specified as an optional argument of the new line command. This is not yet possible in \SpecialChar LyX \begin_inset Foot status collapsed \begin_layout Plain Layout see \begin_inset CommandInset href LatexCommand href name "LyX-bug #1505" target "https://www.lyx.org/trac/ticket/1505" literal "false" \end_inset \end_layout \end_inset , therefore the whole formula must be inserted in \SpecialChar TeX mode. To add in our example space, the command \series bold \backslash \backslash [3mm] \series default is inserted at the end of the first line. One gets: \begin_inset ERT status open \begin_layout Plain Layout \backslash begin{eqnarray*} \end_layout \begin_layout Plain Layout 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 \backslash [3mm] \end_layout \begin_layout Plain Layout 4x^{2} \backslash left(B^{2}+x_{0}^{2} \backslash right)+4x_{0}x \backslash left(D-B^{2} \backslash right)+B^{2} \backslash left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2} \backslash right) & = & 0 \end_layout \begin_layout Plain Layout \backslash end{eqnarray*} \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset To set the line separation for all lines in a formula, the length of \series bold \backslash jot \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout J \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash jot \end_layout \end_inset \end_layout \end_inset is changed. The definition is: \begin_inset Formula $\mbox{line separation}=\mathrm{6\,pt+\backslash jot}$ \end_inset . \series bold \backslash jot \series default is predefined as 3 \begin_inset space \thinspace{} \end_inset pt. To create 3 \begin_inset space \thinspace{} \end_inset mm of additional line separation as in the previous example, the command \end_layout \begin_layout Standard \series bold \backslash setlength{ \backslash jot}{3mm+3pt} \end_layout \begin_layout Standard is inserted in \SpecialChar TeX mode before the formula. This requires that the \SpecialChar LaTeX -package \series bold calc \series default \begin_inset Foot status collapsed \begin_layout Plain Layout \series bold calc \series default is part of every \SpecialChar LaTeX standard installation. \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout calc \end_layout \end_inset \end_layout \end_inset was loaded in \SpecialChar LaTeX -preamble with the line \end_layout \begin_layout Standard \series bold \backslash usepackage{calc} \end_layout \begin_layout Standard One gets: \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash setlength{ \backslash jot}{3mm+3pt} \end_layout \end_inset \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*} \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash setlength{ \backslash jot}{3pt} \end_layout \end_inset To get restore \series bold \backslash jot \series default to its original value, \series bold \backslash jot \series default is set to the value 3 \begin_inset space \thinspace{} \end_inset pt. \end_layout \begin_layout Subsubsection Column Separation \begin_inset CommandInset label LatexCommand label name "subsec:Column-Separation" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout Column separation \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Multiline formulas form a matrix. A formula in the eqnarray environment for example is a matrix with three columns. By changing the column separation in this environment, the space beside the relation sign can be changed. \end_layout \begin_layout Standard The column separation is specified with the length \series bold \backslash arraycolsep \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout A \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash arraycolsep \end_layout \end_inset \end_layout \end_inset according to the formula: column separation = 2 \begin_inset space \thinspace{} \end_inset \series bold \backslash arraycolsep \series default \begin_inset Newline newline \end_inset Thus, the command \end_layout \begin_layout Standard \series bold \backslash setlength{ \backslash arraycolsep}{1cm} \end_layout \begin_layout Standard inserted in \SpecialChar TeX mode, sets all following formula column separations to 2 \begin_inset space \thinspace{} \end_inset cm. To return to the predefined distance, \series bold \backslash arraycolsep \series default is set to 5 \begin_inset space \thinspace{} \end_inset pt. \end_layout \begin_layout Standard A formula with 2 \begin_inset space \thinspace{} \end_inset cm column separation: \begin_inset ERT status open \begin_layout Plain Layout \backslash setlength{ \backslash arraycolsep}{1cm} \end_layout \end_inset \begin_inset Formula \begin{eqnarray*} A & = & B\\ C & \ne & A \end{eqnarray*} \end_inset A formula with the predefined column separation for matrices of 10 \begin_inset space \thinspace{} \end_inset pt: \begin_inset ERT status open \begin_layout Plain Layout \backslash setlength{ \backslash arraycolsep}{5pt} \end_layout \end_inset \begin_inset Formula \begin{eqnarray*} A & = & B\\ C & \ne & A \end{eqnarray*} \end_inset \end_layout \begin_layout Standard \begin_inset Newpage newpage \end_inset \end_layout \begin_layout Subsubsection Long Formulas \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout long \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Long formulas can be typeset using these methods: \end_layout \begin_layout Itemize If one side of an equation is much shorter than the line width, this is chosen for the left side and the right side is typeset over two lines: \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 \\ & & -\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:shortlong} \end{eqnarray} \end_inset The minus sign at the beginning of the second line does normally not appear as an operator because it is the first character of the line. Thus it would not be surrounded by space and could not be distinguished from the fraction bar. To avoid this, a 3 \begin_inset space \thinspace{} \end_inset pt space was inserted behind the minus sign with the command \series bold \backslash hspace \series default . \begin_inset Foot status collapsed \begin_layout Plain Layout For more about \series bold \backslash hspace \series default see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Variable-Space" nolink "false" \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout H \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash hspace \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Itemize When both sides of the equation are long, the command \series bold \backslash lefteqn \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout L \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash lefteqn \end_layout \end_inset \end_layout \end_inset is used. It is inserted in the first column of the first line and causes all further insertions to overwrite the following columns: \begin_inset Formula \begin{eqnarray} \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 \\ & & -\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 \\ & & =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} \end_inset After the insertion of \series bold \backslash lefteqn \series default , the cursor is in a purple box that is shifted a bit to the left from the blue one. The formula is inserted there. \begin_inset Newline newline \end_inset The content of additional lines is inserted in the second or another formula column. The greater the insertion column number , the larger the indentation. \begin_inset VSpace medskip \end_inset \begin_inset Newline newline \end_inset \begin_inset Note Greyedout status open \begin_layout Plain Layout Note the following when using \series bold \backslash lefteqn \series default : \end_layout \begin_layout Itemize The formula doesn't use the full page width. When e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset the term \begin_inset Formula $-B^{2}$ \end_inset is added to the first line in the above example, it would have been outside the page margin. To better use the width, negative space can be inserted at the beginning of the first line. \end_layout \begin_layout Itemize Due to a bug in \SpecialChar LyX the cursor cannot be set with the mouse in the first line. \begin_inset Foot status collapsed \begin_layout Plain Layout \begin_inset CommandInset href LatexCommand href name "LyX-bug #1429" target "https://www.lyx.org/trac/ticket/1429" literal "false" \end_inset \end_layout \end_inset One can only set the cursor at the beginning of the line and move it with the arrow keys. \end_layout \end_inset \end_layout \begin_layout Itemize Other methods to set long formulas are offered by the environments described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Multline-Environment" nolink "false" \end_inset and \begin_inset CommandInset ref LatexCommand ref reference "subsec:Multiline-Formula-Parts" nolink "false" \end_inset . \end_layout \begin_layout Subsubsection Multiline Fractions \begin_inset CommandInset label LatexCommand label name "subsec:Multiline-Fractions" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Fractions \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard There are cases where the denominator and/or the numerator of a fraction is so long that the fraction does not fit on one line. It is then necessary to add a line break within the fraction. This can be done using the command \series bold \backslash splitfrac \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash splitfrac \end_layout \end_inset \end_layout \end_inset . To activate it, go to the document settings under \family sans Math \begin_inset space ~ \end_inset Options \family default for the package \series bold mathtools \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout mathtools \end_layout \end_inset \end_layout \end_inset and set its option to \family sans Load \begin_inset space ~ \end_inset always \family default . \series bold \backslash splitfrac \series default has the scheme \end_layout \begin_layout Standard \series bold \backslash splitfrac{first line}{second line} \end_layout \begin_layout Standard and is used for either the denominator or numerator: \end_layout \begin_layout Standard \begin_inset Formula \[ a=\frac{\splitfrac{xy+xy+xy+xy+xy}{+wy+wy+wy+wy}}{z}\ne\frac{\splitdfrac{xy+\frac{xy}{z}+xy+xy+xy}{+xy+xy+xy+xy}}{z} \] \end_inset The command for the first numerator above is: \end_layout \begin_layout Standard \series bold \backslash splitfrac{xy+xy+xy+xy+xy \begin_inset space \textvisiblespace{} \end_inset \backslash {+wy+wy+wy+wy \end_layout \begin_layout Subsubsection Multiline Brackets \begin_inset CommandInset label LatexCommand label name "subsec:Multiline-Brackets" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Brackets \begin_inset IndexMacro subentry status open \begin_layout Plain Layout for multiline expressions \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard For brackets spanning multiple lines the following problem occurs: \begin_inset Formula \begin{eqnarray*} A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\ & & \left.\cdots+B-D\right] \end{eqnarray*} \end_inset \end_layout \begin_layout Standard The closing bracket is smaller than the opening bracket because brackets with variable size may not span multiple lines. \end_layout \begin_layout Standard To set the bracket size for the second line correctly, the first line is ended with \series bold \backslash right. \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash right \end_layout \end_inset \end_layout \end_inset and the second line with \series bold \backslash left. \begin_inset Foot status collapsed \begin_layout Plain Layout For more about \series bold \backslash left \series default and \series bold \backslash right \series default see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Automatic-Bracket-Size" nolink "false" \end_inset \end_layout \end_inset \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout L \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash left \end_layout \end_inset \end_layout \end_inset . After \series bold \backslash left. \series default the command \series bold \backslash vphantom \series default \begin_inset space \textvisiblespace{} \end_inset \series bold \backslash prod \series default ^ \begin_inset space \textvisiblespace{} \end_inset \series bold \backslash infty \series default \begin_inset space \textvisiblespace{} \end_inset \series bold \begin_inset Formula $\downarrow$ \end_inset _R=1} \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout V \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash vphantom \end_layout \end_inset \end_layout \end_inset is inserted, because the multiplication operator with its limits is the largest symbol in the first line and this should be the size for the bracket in the second line. \end_layout \begin_layout Standard The result is this: \begin_inset Formula \begin{eqnarray*} A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\ & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right] \end{eqnarray*} \end_inset \end_layout \begin_layout Subsection Align Environments \end_layout \begin_layout Standard Align environments can be used for every kind of multiline formulas. They are especially useful to set several formulas side by side. \end_layout \begin_layout Standard Align environments consist of columns. The odd columns are right aligned, the even ones left aligned. Every line in an Align environment can be numbered. \end_layout \begin_layout Standard Align environments are created via the menu \family sans Insert\SpecialChar menuseparator Math \family default . With the menu \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Change Formula Type \family default pre-existing formulas can be converted to Align environments. \end_layout \begin_layout Standard To add or delete columns, use the math toolbar buttons \begin_inset Info type "icon" arg "tabular-feature append-column" \end_inset or \begin_inset Info type "icon" arg "tabular-feature delete-column" \end_inset respectively, or the menu option \family sans Edit\SpecialChar menuseparator Rows & Columns \family default can be used. \end_layout \begin_layout Subsubsection Standard Align Environment \begin_inset CommandInset label LatexCommand label name "subsec:Standard-align-Environment" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout align environment \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard This align environment is created by pressing \begin_inset Info type "shortcut" arg "newline-insert newline" \end_inset in a formula or by the menu \family sans Insert\SpecialChar menuseparator Math\SpecialChar menuseparator AMS align Environment \family default . \end_layout \begin_layout Standard An example for two formulas set side by side, that are created with a four column align environment: \begin_inset Formula \begin{align*} A & =\sin(B) & C & =D\\ C & \ne A & B & \ne D \end{align*} \end_inset As it can be seen, the formulas in this environment are placed so as if there would be a \series bold \backslash hfill \begin_inset Foot status open \begin_layout Plain Layout For more about \series bold \backslash hfill \series default see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Variable-Space" nolink "false" \end_inset \end_layout \end_inset \series default before the first and after every even column. When the formula style \series bold Indented \begin_inset Foot status open \begin_layout Plain Layout For formula styles see \begin_inset CommandInset ref LatexCommand ref reference "sec:Formula-Styles" nolink "false" \end_inset \end_layout \end_inset \series default is used, the formula is set without the \series bold \backslash hfill \series default before the first column. \end_layout \begin_layout Subsubsection Alignat Environment \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout alignat environment \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard The alignat environment has no predefined column separation. It can be inserted manually with the spaces that are described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Space" nolink "false" \end_inset . \end_layout \begin_layout Standard The above example is shown in the alignat environment where 1 \begin_inset space \thinspace{} \end_inset cm space was inserted at the beginning of the second formula: \begin_inset Formula \begin{alignat*}{2} A & =\sin(B) & \hspace{1cm}C & =D\\ C & \ne A & B & \ne D \end{alignat*} \end_inset Because the column separation can be set separately for every column, this environment is especially suitable to set three or more formulas side by side. \end_layout \begin_layout Subsubsection Flalign Environment \begin_inset CommandInset label LatexCommand label name "subsec:Flalign-Environment" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout flalign environment \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard In this environment the first column is always set to the left as much as possible and the last one to the right. An example: \begin_inset Formula \begin{flalign*} A & =1 & B & =2 & C & =3\\ X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4 \end{flalign*} \end_inset \end_layout \begin_layout Standard By creating a flalign environment with an odd number of columns where an empty \SpecialChar TeX brace is inserted in the last column, several formulas in a document can be set to the left, although the formula style \series bold Centered \series default is used. As example the indented formula \begin_inset CommandInset ref LatexCommand eqref reference "eq:VolInt" nolink "false" \end_inset : \begin_inset Formula \begin{flalign} \hspace{30pt}\iiint_{V}X\,\mathrm{d}V & =U & {} \end{flalign} \end_inset The first two columns contain the formula. To indent it as with the formula style \series bold Indented \series default , a 30 \begin_inset space \thinspace{} \end_inset pt space was inserted at the beginning of the first column. \end_layout \begin_layout Subsection Eqnarray Environment \begin_inset CommandInset label LatexCommand label name "subsec:Eqnarray-Environment" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout eqnarray environment \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard When this environment is created, three blue boxes appear. The content of the first box is right aligned, the content of the last box left aligned. The content of the middle box appears centered and a bit smaller because it is intended for relational characters only. \begin_inset Formula \begin{eqnarray*} \frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\ AB & AB & AB\\ A & = & A \end{eqnarray*} \end_inset \end_layout \begin_layout Subsection Gather Environment \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout gather environment \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard This environment consists of one centered column. Every line can be numbered. \begin_inset Formula \begin{gather} A=1\\ X=\textrm{-}1 \end{gather} \end_inset \end_layout \begin_layout Subsection Multline Environment \begin_inset CommandInset label LatexCommand label name "subsec:Multline-Environment" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multline environment \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard The multline environment consists, like the gather environment, of one column. But the first line is left aligned, the last one right aligned. All other lines are centered. Therefore this environment is suitable for long formulas. Using example formula \begin_inset CommandInset ref LatexCommand eqref reference "eq:lefteqn" nolink "false" \end_inset in the multline environment: \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}\\ -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} \end_inset \end_layout \begin_layout Standard In the output, only the last line of a multline environment appears numbered when the document numbering is on the right . If the document numbering is on the left then only the first line will appear numbered. \begin_inset Foot status collapsed \begin_layout Plain Layout For numbering styles see \begin_inset CommandInset ref LatexCommand ref reference "sec:Formula-Styles" nolink "false" \end_inset \end_layout \end_inset \end_layout \begin_layout Standard With the commands \series bold \backslash shoveright \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash shoveright \end_layout \end_inset \end_layout \end_inset and \series bold \backslash shoveleft \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash shoveleft \end_layout \end_inset \end_layout \end_inset a centered line can be right or left aligned, respectively. The commands are used as follows: \end_layout \begin_layout Standard \series bold \backslash shoveright{line content} \series default and \series bold \backslash shoveleft{line content} \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset The length \series bold \backslash multlinegap \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout M \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash multlinegap \end_layout \end_inset \end_layout \end_inset specifies the distance of the first line from the left page margin. Predefined is the length 0 \begin_inset space \thinspace{} \end_inset pt. \end_layout \begin_layout Standard As example the above formula where the command \end_layout \begin_layout Standard \series bold \backslash setlength{ \backslash multlinegap}{2cm} \end_layout \begin_layout Standard was inserted in \SpecialChar TeX mode before: \begin_inset ERT status collapsed \begin_layout Plain Layout \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}\\ \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}}\\ =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 \begin_layout Plain Layout \backslash setlength{ \backslash multlinegap}{0pt} \end_layout \end_inset The second line was left aligned using \series bold \backslash shoveleft \series default . \end_layout \begin_layout Subsection Multiline Formula Parts \begin_inset CommandInset label LatexCommand label name "subsec:Multiline-Formula-Parts" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout formula parts \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard To display only parts of a formula with multiple lines, one of the following environments is used: \series bold aligned \series default , \series bold alignedat \series default , \series bold gathered \series default or \series bold split \series default . They can be inserted via the menu \family sans Insert\SpecialChar menuseparator Math \family default or by using the commands described in this section. \end_layout \begin_layout Standard The first three have the same properties as the corresponding multiline formula environments, but it is possible to set additional formula parts beside them. An example: \begin_inset Formula \[ \left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\ \Delta E\Delta t & \ge\frac{\hbar}{2} \end{aligned} \right\} \textrm{Uncertainty relations} \] \end_inset \end_layout \begin_layout Standard To get this formula, a displayed formula is created where the command \series bold \backslash aligned \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout A \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash aligned \end_layout \end_inset \end_layout \end_inset is inserted. A purple box appears around the blue formula box where now columns and lines can be added. Outside the multiline environment other formula parts can be set, like the brace. \end_layout \begin_layout Standard The aligned environment is also suitable for long formulas whose lines are horizontally aligned. Using aligned in a displayed formula has the advantage that the formula number is vertically centered behind the lines. For example here is formula \begin_inset CommandInset ref LatexCommand eqref reference "eq:shortlong" nolink "false" \end_inset in the aligned environment: \begin_inset Formula \begin{equation} \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}|}\\ & -\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} \end{equation} \end_inset \end_layout \begin_layout Standard To use the environments \series bold alignedat \series default , \series bold gathered \series default , or \series bold split \series default , the command \series bold \backslash alignedat \series default , \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout A \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash alignedat \end_layout \end_inset \end_layout \end_inset \series bold \backslash gathered \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout G \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash gathered \end_layout \end_inset \end_layout \end_inset , or \series bold \backslash split \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash split \end_layout \end_inset \end_layout \end_inset are inserted, respectively. The split environment has the same properties as the aligned environment but it can only have two columns. \end_layout \begin_layout Subsection Text in Multiline Formulas \begin_inset CommandInset label LatexCommand label name "subsec:Text-in-multiline" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Text \begin_inset IndexMacro subentry status open \begin_layout Plain Layout in formulas \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multiline \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout text \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard In the align environments as well as the multline and gather environment, text can be inserted that will appear in a separate line and doesn't affect the column alignment. To do this, the command \series bold \backslash intertext \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout I \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash intertext \end_layout \end_inset \end_layout \end_inset is used in the following scheme: \end_layout \begin_layout Standard \series bold \backslash intertext{text} \end_layout \begin_layout Standard The text should not be longer than a line because it cannot be hyphenated. As \SpecialChar LyX doesn't yet support \series bold \backslash intertext \series default directly, the text is written as mathematical text. Therefore \series bold \backslash intertext \series default must be at the beginning of a line and will appear in the output above this line. An example where the text was inserted at the beginning of the second line: \begin_inset Formula \begin{align} I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\ \intertext{\text{integrand is symmetric to \ensuremath{\phi=\pi}, therefore}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi \end{align} \end_inset \end_layout \begin_layout Standard \series bold \backslash intertext \series default always creates some vertical space between the text and the formula lines. To avoid this space, in the document settings under \family sans Math \begin_inset space ~ \end_inset Options \family default for the package \series bold mathtools \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout mathtools \end_layout \end_inset \end_layout \end_inset set the option to \family sans Load \begin_inset space ~ \end_inset always \family default . Then you can use the command \series bold \backslash shortintertext \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout S \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash shortintertext \end_layout \end_inset \end_layout \end_inset instead of \series bold \backslash intertext \series default : \end_layout \begin_layout Standard \begin_inset Formula \begin{align} I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\ \shortintertext{\text{integrand is symmetric to \ensuremath{\phi=\pi}, therefore}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi \end{align} \end_inset \end_layout \begin_layout Section Formula Numbering \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula numbering \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout numbering \end_layout \end_inset \begin_inset IndexMacro see status open \begin_layout Plain Layout Formula numbering \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Subsection General \end_layout \begin_layout Standard Numbered formulas can be created with the menu \family sans Insert\SpecialChar menuseparator Math\SpecialChar menuseparator Numbered \begin_inset space ~ \end_inset Formula \family default (shortcut \begin_inset Info type "shortcuts" arg "command-sequence math-display; math-number-toggle;" \end_inset ). Existing formulas can be numbered with the menu \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Number \begin_inset space ~ \end_inset Whole \begin_inset space ~ \end_inset Formula \family default (shortcut \begin_inset Info type "shortcut" arg "math-number-toggle" \end_inset ). The formula number is displayed in \SpecialChar LyX behind the formula as a number in parentheses. \end_layout \begin_layout Standard When numbering is turned on in multiline formulas, all formulas will be numbered. But the numbering can be controlled with the menu \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Number \begin_inset space ~ \end_inset This \begin_inset space ~ \end_inset Line \family default (shortcut \begin_inset Info type "shortcut" arg "math-number-line-toggle" \end_inset ) for every formula. \end_layout \begin_layout Standard Except for inline formulas, all formulas can be numbered with two different styles, see \begin_inset CommandInset ref LatexCommand ref reference "sec:Formula-Styles" nolink "false" \end_inset . \end_layout \begin_layout Subsection Cross-References \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Cross-references \begin_inset IndexMacro subentry status open \begin_layout Plain Layout to formulas \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard All labeled formulas can be cross-referenced. A label is added with the menu \family sans Insert\SpecialChar menuseparator Label \family default or the toolbar button \begin_inset Info type "icon" arg "label-insert" \end_inset . The cursor must be inside a displayed formula. Alternatively you can right-click on the formula and choose \family sans Equation Label \family default . A dialog pops up displaying the prefix \series bold eq: \series default in a text field. The label is inserted behind the prefix. The predefined prefix means \begin_inset Quotes eld \end_inset equation \begin_inset Quotes erd \end_inset and makes it easier to find labels in large documents because it marks it as a formula label to distinguish it from e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset section labels. To change a label, the menu \family sans Insert\SpecialChar menuseparator Label \family default is used again or you can right-click on a formula and then on \family sans Equation Label \family default . \end_layout \begin_layout Standard The name of the label is displayed in \SpecialChar LyX within parentheses behind the formula number. A formula with a label is always numbered. \end_layout \begin_layout Standard Cross-references are inserted via the menu \family sans Insert\SpecialChar menuseparator Cross-Reference \family default or with the toolbar button \begin_inset Info type "icon" arg "dialog-show-new-inset ref" \end_inset . A formula cross-reference appears in the output as formula number. When in the cross-reference dialog window the format \series bold () \series default is chosen, the cross-reference appears in the output as formula number in parentheses. \begin_inset Newline newline \end_inset By right-clicking on a cross-reference in \SpecialChar LyX , one jumps to the formula that is referenced. \end_layout \begin_layout Standard Here are as examples cross-references to formulas of the following subsections: \begin_inset Note Note status open \begin_layout Plain Layout Note the different cross-reference types. \end_layout \end_inset \end_layout \begin_layout Standard The equations \begin_inset CommandInset ref LatexCommand eqref reference "eq:tag" nolink "false" \end_inset and \begin_inset CommandInset ref LatexCommand eqref reference "eq:c" nolink "false" \end_inset are equivalent. In ( \begin_inset CommandInset ref LatexCommand ref reference "eq:Lat" nolink "false" \end_inset ) big Latin letters are used for the numbering in contrary to ( \begin_inset CommandInset ref LatexCommand ref reference "eq:Rom" nolink "false" \end_inset ). \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset When the argument of \series bold \backslash tag \begin_inset Foot status collapsed \begin_layout Plain Layout \series bold \backslash tag \series default is described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:User-defined-Numbering" nolink "false" \end_inset . \end_layout \end_inset \series default contains a box like in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Paragraph-Boxes" nolink "false" \end_inset , the formula cannot be referenced. \end_layout \begin_layout Subsection Subnumbering \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula numbering \begin_inset IndexMacro subentry status open \begin_layout Plain Layout subnumbering \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Formulas can be numbered as subequations. To activate this feature, add the module \family sans Subequations \family default to the document in the menu \family sans Document\SpecialChar menuseparator Settings\SpecialChar menuseparator Modules \family default . To insert subequations use the menu \family sans Insert\SpecialChar menuseparator Custom Insets\SpecialChar menuseparator Subequations \family default . \end_layout \begin_layout Standard The equations to be subnumbered are put into the \family sans Subequations \family default inset. An example: \begin_inset Formula \begin{equation} A=C-B \end{equation} \end_inset \begin_inset VSpace -5mm \end_inset \begin_inset Flex Subequations status open \begin_layout Plain Layout \begin_inset Formula \begin{equation} B=C-A\label{eq:b} \end{equation} \end_inset \begin_inset Formula \begin{equation} C=A+B\label{eq:c} \end{equation} \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Every formula in the \family sans Subequations \family default inset will be subnumbered with a, b, c, \SpecialChar ldots in the output. For multiline formulas every line will be subnumbered. \end_layout \begin_layout Standard Referencing subequations works like normal equations: \begin_inset CommandInset ref LatexCommand eqref reference "eq:b" nolink "false" \end_inset , \begin_inset CommandInset ref LatexCommand eqref reference "eq:c" nolink "false" \end_inset . If you want to reference the subequations collectively, insert a label as first thing in the \family sans Subequations \family default inset. Formula \begin_inset CommandInset ref LatexCommand eqref reference "eq:Here-is-an" plural "false" caps "false" noprefix "false" nolink "false" \end_inset is an example. \end_layout \begin_layout Standard When inserting subequations, vertical space is added before the equation. To remove this, insert -5 \begin_inset space \thinspace{} \end_inset mm vertical space right before the \family sans Subequations \family default inset. If the formula style \series bold Indented \begin_inset Foot status open \begin_layout Plain Layout For formula styles see \begin_inset CommandInset ref LatexCommand ref reference "sec:Formula-Styles" nolink "false" \end_inset \end_layout \end_inset \series default is used, insert -7 \begin_inset space \thinspace{} \end_inset mm space instead. \end_layout \begin_layout Standard To get another subnumber instead of small Latin letters, insert this command as \SpecialChar TeX code before the equations in the \family sans Subequations \family default inset: \end_layout \begin_layout Standard \series bold \backslash renewcommand{ \backslash theequation}{ \backslash theparentequation - \backslash roman{equation}} \end_layout \begin_layout Standard \series bold \backslash theparentequation \series default creates the parent number and \series bold \backslash roman{equation} \series default adds a small Roman number as subnumber. For more information about the customization of the numbering, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Numbering-with-Roman" nolink "false" \end_inset . \end_layout \begin_layout Standard Here is an example of a multiline formula where the numbering is customized and turned off for the second line: \begin_inset Flex Subequations status open \begin_layout Plain Layout \begin_inset CommandInset label LatexCommand label name "eq:Here-is-an" \end_inset \begin_inset ERT status open \begin_layout Plain Layout \backslash renewcommand{ \backslash theequation}{ \backslash theparentequation - \backslash roman{equation}} \end_layout \end_inset \begin_inset Formula \begin{eqnarray} A & = & (B-Z)^{2}=(B-Z)(B-Z)\\ & = & B^{2}-ZB-BZ+Z^{2}\nonumber \\ & = & B^{2}-2BZ+Z^{2} \end{eqnarray} \end_inset \end_layout \end_inset \end_layout \begin_layout Subsection Numbering with Roman Numbers and Letters \begin_inset CommandInset label LatexCommand label name "subsec:Numbering-with-Roman" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula numbering \begin_inset IndexMacro subentry status open \begin_layout Plain Layout with letters \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula numbering \begin_inset IndexMacro subentry status open \begin_layout Plain Layout with Roman numbers \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Formulas can also be numbered with Roman numbers and Latin letters. To number with small Roman numbers, the command \end_layout \begin_layout Standard \series bold \backslash renewcommand{ \backslash theequation}{ \backslash roman{equation}} \end_layout \begin_layout Standard is inserted before the formula in \SpecialChar TeX mode. \series bold \backslash renewcommand \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash renewcommand \end_layout \end_inset \end_layout \end_inset redefines the predefined command \series bold \backslash theequation \series default to the command \series bold \backslash roman{equation} \series default . \begin_inset Foot status open \begin_layout Plain Layout The command \series bold \backslash renewcommand \series default has the same scheme as the command \series bold \backslash newcommand \series default described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:The-Command-newcommand" nolink "false" \end_inset . \end_layout \end_inset \series bold equation \series default is the formula counter. When the command \series bold \backslash the \series default is used as prefix for a counter, the value of the counter is output as Arabic number. When a formula is numbered, \SpecialChar LaTeX sets internally the command \series bold \backslash theequation \series default behind the formula. \series bold \backslash roman{equation} \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash roman \end_layout \end_inset \end_layout \end_inset \series default outputs the counter as small Roman number. \end_layout \begin_layout Standard All formulas behind the command \series bold \backslash renew \series default c \series bold ommand \series default are now numbered Roman. To switch to numbering with big Roman numbers, the command is inserted again, but \series bold \backslash roman \series default is replaced by \series bold \backslash Roman \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout R \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \begin_inset IndexMacro sortkey status open \begin_layout Plain Layout \backslash roman \end_layout \end_inset \backslash Roman \end_layout \end_inset \end_layout \end_inset . To \begin_inset Quotes eld \end_inset number \begin_inset Quotes erd \end_inset with small Latin letters there is the command \series bold \backslash alph \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout A \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash alph \end_layout \end_inset \end_layout \end_inset , for big ones there is the command \series bold \backslash Alph \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout A \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \begin_inset IndexMacro sortkey status open \begin_layout Plain Layout \backslash alph \end_layout \end_inset \backslash Alph \end_layout \end_inset \end_layout \end_inset . \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default Only a maximum of 26 \begin_inset space ~ \end_inset formulas can be numbered with Latin letters in one document. \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash renewcommand{ \backslash theequation}{ \backslash roman{equation}} \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Formula \begin{equation} A=\textrm{small roman} \end{equation} \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash renewcommand{ \backslash theequation}{ \backslash Roman{equation}} \end_layout \end_inset \begin_inset Formula \begin{equation} B=\textrm{big Roman}\label{eq:Rom} \end{equation} \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash renewcommand{ \backslash theequation}{ \backslash alph{equation}} \end_layout \end_inset \begin_inset Formula \begin{equation} C=\textrm{small Latin} \end{equation} \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash renewcommand{ \backslash theequation}{ \backslash Alph{equation}} \end_layout \end_inset \begin_inset Formula \begin{equation} D=\textrm{big Latin}\label{eq:Lat} \end{equation} \end_inset \end_layout \begin_layout Standard To switch back to the default numbering, insert the command: \end_layout \begin_layout Standard \series bold \backslash renewcommand{ \backslash theequation}{ \backslash arabic{equation}} \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout A \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash arabic \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash renewcommand{ \backslash theequation}{ \backslash arabic{equation}} \end_layout \end_inset \begin_inset Formula \begin{equation} E=\textrm{Arabic} \end{equation} \end_inset \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset As you see, formulas are numbered serially independent from the numbering style. When then numbering should start with \begin_inset Quotes eld \end_inset 1 \begin_inset Quotes erd \end_inset when the style is changed, new equation counters have to be defined. A description of this can be found in the file \begin_inset CommandInset href LatexCommand href name "Formula-numbering.lyx" target "run:Formula-numbering.lyx" type "other" literal "false" \end_inset . \end_layout \begin_layout Subsection User-defined Numbering \begin_inset CommandInset label LatexCommand label name "subsec:User-defined-Numbering" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula numbering \begin_inset IndexMacro subentry status open \begin_layout Plain Layout user-defined \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default If the document language is a right-to-left language such as Arabic, you must add this to the to the \SpecialChar LaTeX -preamble to be able to use the commands described in this section: \begin_inset Newline newline \end_inset \series bold \backslash AtBeginDocument{ \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \series bold \begin_inset space ~ \end_inset \end_layout \end_inset \backslash def \backslash tagform@#1{ \backslash maketag@@@{( \backslash ignorespaces#1 \backslash unskip)}} } \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula numbering \begin_inset IndexMacro subentry status open \begin_layout Plain Layout self-defined delimiters \end_layout \end_inset \end_layout \end_inset With standard numbering, parentheses are set around a formula number. To replace the parentheses for example with vertical bars, the following line is added to the \SpecialChar LaTeX -preamble: \end_layout \begin_layout Standard \series bold \backslash AtBeginDocument{ \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \series bold \begin_inset space ~ \end_inset \end_layout \end_inset \backslash def \backslash tagform@#1{ \backslash maketag@@@{|#1|}} } \series default \begin_inset Note Note status collapsed \begin_layout Plain Layout This macro is already declared in the \SpecialChar LaTeX -preamble for testing. To activate it, remove the percent signs at the beginning. \end_layout \end_inset \end_layout \begin_layout Standard To use other characters, the vertical bars besides the \series bold #1 \series default are replaced by one or more characters. To display only the formula number the vertical bars are omitted. \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset When there should be an expression of your choice instead of the consecutive formula number in parentheses behind the formula, the command \series bold \backslash tag \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout T \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash tag \end_layout \end_inset \end_layout \end_inset is used: \begin_inset Formula \begin{equation} A+B=C\tag{something}\label{eq:tag} \end{equation} \end_inset In this example the command \series bold \backslash tag \begin_inset space \textvisiblespace{} \end_inset something \series default was inserted in the formula. \end_layout \begin_layout Standard When the command \series bold \backslash tag* \begin_inset space \textvisiblespace{} \end_inset something \series default is inserted instead, the parentheses are removed: \begin_inset Formula \[ A+B=C\tag*{something} \] \end_inset \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset To restart the formula numbering with new document parts or sections, the following command is used: \end_layout \begin_layout Standard \series bold \backslash @addtoreset{equation}{part} \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout " \end_layout \end_inset @ \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash \begin_inset ERT status collapsed \begin_layout Plain Layout " \end_layout \end_inset @addtoreset \end_layout \end_inset \end_layout \end_inset \begin_inset Newline newline \end_inset resp. \begin_inset Newline newline \end_inset \series bold \backslash @addtoreset{equation}{section} \end_layout \begin_layout Standard To be able to use these commands in \SpecialChar TeX mode, the \begin_inset Quotes eld \end_inset @ \begin_inset Quotes erd \end_inset character has to be made \begin_inset Quotes eld \end_inset active \begin_inset Quotes erd \end_inset for \SpecialChar LaTeX using the command \series bold \backslash makeatletter. \series default The command \series bold \backslash makeatother \series default disables this. So the command sequence in \SpecialChar TeX mode is: \end_layout \begin_layout Standard \series bold \backslash makeatletter \begin_inset Newline newline \end_inset \backslash @addtoreset{equation}{section} \begin_inset Newline newline \end_inset \backslash makeatother \end_layout \begin_layout Standard In the \SpecialChar LaTeX -preamble \series bold \backslash makeatletter \series default and \series bold \backslash makeatother \series default can be omitted as they are automatically internally inserted by \SpecialChar LyX . \end_layout \begin_layout Standard To revert \series bold \backslash @addtoreset \series default , the file \series bold remreset.sty \series default \begin_inset Foot status collapsed \begin_layout Plain Layout \series bold remreset \series default is part of the \SpecialChar LaTeX -package \series bold carlisle \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout carlisle \end_layout \end_inset \end_layout \end_inset that is part of every \SpecialChar LaTeX standard installation. \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout remreset \end_layout \end_inset \end_layout \end_inset has to be loaded in the \SpecialChar LaTeX -preamble with the line \end_layout \begin_layout Standard \series bold \backslash usepackage{remreset} \end_layout \begin_layout Standard Then the command \series bold \backslash @removefromreset \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \begin_inset ERT status collapsed \begin_layout Plain Layout " \end_layout \end_inset @ \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash \begin_inset ERT status collapsed \begin_layout Plain Layout " \end_layout \end_inset @removefromreset \end_layout \end_inset \end_layout \end_inset can be used with the same scheme as \series bold \backslash @addtoreset \series default . \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset Sometimes formulas should be numbered in the following form: \end_layout \begin_layout Standard \family typewriter (section number.formula number) \end_layout \begin_layout Standard The formula number should start with every section with \begin_inset Quotes eld \end_inset 1 \begin_inset Quotes erd \end_inset . \end_layout \begin_layout Standard For this case there is the command \series bold \backslash numberwithin \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout N \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash numberwithin \end_layout \end_inset \end_layout \end_inset , which is used with the following scheme: \end_layout \begin_layout Standard \series bold \backslash numberwithin{counter}{sectioning} \end_layout \begin_layout Standard Counter denotes what kind of numbering is affected, sectioning denotes what the number before the dot is. \end_layout \begin_layout Standard Thus in our case the following \SpecialChar LaTeX preamble or \SpecialChar TeX code line is used: \end_layout \begin_layout Standard \series bold \backslash numberwithin{equation}{section} \end_layout \begin_layout Standard This is the result: \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash numberwithin{equation}{section} \end_layout \end_inset \begin_inset Formula \begin{equation} A+B=C \end{equation} \end_inset \end_layout \begin_layout Standard To number e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset tables so that the number of the part is the sectioning, \begin_inset Newline newline \end_inset \series bold \backslash numberwithin{table}{part} \series default is used. \end_layout \begin_layout Standard To go back to the standard numbering or to prevent this kind of numbering when it is defined by the document class, the following command is inserted as \SpecialChar TeX code or to the \SpecialChar LaTeX preamble: \end_layout \begin_layout Standard \series bold \backslash renewcommand{ \backslash theequation}{ \backslash arabic{equation}} \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout A \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash arabic \end_layout \end_inset \end_layout \end_inset \series default \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash renewcommand{ \backslash theequation}{ \backslash arabic{equation}} \end_layout \end_inset \series bold \begin_inset Newline newline \end_inset \series default or \series bold \begin_inset Newline newline \end_inset \backslash renewcommand{ \backslash thetable}{ \backslash arabic{table}} \end_layout \begin_layout Standard \series bold \backslash numberwithin \series default internally uses the command \series bold \backslash @addtoreset \series default , described above, and would also need to be reverted. \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash makeatletter \end_layout \begin_layout Plain Layout \backslash @removefromreset{equation}{section} \end_layout \begin_layout Plain Layout \backslash makeatother \end_layout \end_inset \end_layout \begin_layout Section Chemical Symbols and Equations \begin_inset CommandInset label LatexCommand label name "subsec:Chemical-Symbols-and" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Chemical characters \begin_inset IndexMacro subentry status open \begin_layout Plain Layout Symbols \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Chemical equations \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Symbols \begin_inset IndexMacro subentry status open \begin_layout Plain Layout chemical \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard An example text from chemistry: \end_layout \begin_layout Quote The \begin_inset Formula $\mathrm{SO_{4}^{2-}}$ \end_inset -ion reacts with two \begin_inset Formula $\mathrm{Na^{+}}$ \end_inset -ions to sodium sulfate \begin_inset Formula $\left(\mathrm{Na_{2}SO_{4}}\right)$ \end_inset . The chemical equation for this is: \begin_inset Formula \begin{equation} \mathrm{2\,Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chem-reaction} \end{equation} \end_inset \end_layout \begin_layout Standard Chemical equations can be created as formulas. To avoid the symbols appearing in italic, everything is highlighted and changed by the shortcut \begin_inset Info type "shortcut" arg "font-roman" \end_inset to the upright font style. \begin_inset Foot status collapsed \begin_layout Plain Layout For font styles \series bold \series default see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Font-Styles" nolink "false" \end_inset \end_layout \end_inset \end_layout \begin_layout Standard A more convenient way to typeset chemical formulas is to use the command \series bold \backslash ce \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout C \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash ce \end_layout \end_inset \end_layout \end_inset which is available when the \SpecialChar LaTeX -package \series bold mhchem \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout mhchem \end_layout \end_inset \end_layout \end_inset is installed. After inserting \series bold \backslash ce \series default in a formula a new blue box appears where chemical formulas can be inserted in an intuitive way. \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ce \begin_inset space \textvisiblespace{} \end_inset H2CO3 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ce{H2CO3}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ce \begin_inset space \textvisiblespace{} \end_inset SO4^2- \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ce{SO4^{2-}}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ce \begin_inset space \textvisiblespace{} \end_inset (NH4)2S \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ce{(NH4)2S}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ce \begin_inset space \textvisiblespace{} \end_inset KCr(SO4)2.12H2O \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ce{KCr(SO4)2.12H2O}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ce \begin_inset space \textvisiblespace{} \end_inset A-B \backslash dbond \begin_inset space \textvisiblespace{} \end_inset C \backslash tbond \begin_inset space \textvisiblespace{} \end_inset D \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ce{A-B\dbond C\tbond D}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ce \begin_inset space \textvisiblespace{} \end_inset ^227 \begin_inset Formula $\downarrow$ \end_inset _90 \begin_inset Formula $\to$ \end_inset Th+ \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ce{_{90}^{227}Th+}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ce \begin_inset space \textvisiblespace{} \end_inset \backslash mu \begin_inset space \textvisiblespace{} \end_inset \backslash hyphen \begin_inset space \textvisiblespace{} \end_inset Cl \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ce{\ensuremath{\mu\hyphen}Cl}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ce \begin_inset space \textvisiblespace{} \end_inset CO2 \begin_inset space \textvisiblespace{} \end_inset + \begin_inset space \textvisiblespace{} \end_inset C \begin_inset space \textvisiblespace{} \end_inset <=> \begin_inset space \textvisiblespace{} \end_inset 2CO \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ce{CO2 + C <=> 2CO}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ce \begin_inset space \textvisiblespace{} \end_inset CO2 \begin_inset space \textvisiblespace{} \end_inset + \begin_inset space \textvisiblespace{} \end_inset C \begin_inset space \textvisiblespace{} \end_inset ->[ \backslash alpha][ \backslash beta] \begin_inset space \textvisiblespace{} \end_inset 2CO} \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\ce{CO2 + C ->[\alpha][\beta] 2CO}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default It is not possible in \SpecialChar LyX to use the character ^ to get an up-arrow as described in the \series bold mhchem \series default manual. One instead uses a negative thin space followed by the command \series bold \backslash uparrow \series default : \begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$ \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Using \series bold \backslash ce \series default the command for equation \begin_inset space ~ \end_inset \begin_inset CommandInset ref LatexCommand eqref reference "eq:chem-reaction" nolink "false" \end_inset is: \begin_inset Newline newline \end_inset \series bold \backslash ce \begin_inset space \textvisiblespace{} \end_inset 2Na+ \begin_inset space \textvisiblespace{} \end_inset + \begin_inset space \textvisiblespace{} \end_inset SO4^2- \begin_inset space \textvisiblespace{} \end_inset \begin_inset space \textvisiblespace{} \end_inset -> \begin_inset space \textvisiblespace{} \end_inset Na2SO4 \end_layout \begin_layout Standard To create multiline chemical equations first a multiline formula is created as described in \begin_inset CommandInset ref LatexCommand ref reference "sec:Multiline-Formulas" nolink "false" \end_inset . Afterwards the command \series bold \backslash ce \series default is used in every small blue box of the formula. \begin_inset CommandInset ref LatexCommand eqref reference "eq:TEOS-reaction-1" nolink "false" \end_inset and \begin_inset CommandInset ref LatexCommand eqref reference "eq:TEOS-reaction-2" nolink "false" \end_inset are an example of a multi-stage chemical reaction where every equation has its own number. \begin_inset Formula \begin{eqnarray} \ce{TEOS + 4O} & \ce{->} & \ce{Si(OH)4 + 4C2H4O}\label{eq:TEOS-reaction-1}\\ \ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2} \end{eqnarray} \end_inset \end_layout \begin_layout Standard Besides \series bold \backslash ce \series default the \series bold mhchem \series default package provides the command \series bold \backslash cf \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout C \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash cf \end_layout \end_inset \end_layout \end_inset that is used for special cases. For more information about \series bold \backslash cf \series default and more examples have a look at the documentation of \series bold mhchem \series default , \begin_inset CommandInset citation LatexCommand cite key "mhchem" literal "true" \end_inset . \end_layout \begin_layout Section Diagrams \end_layout \begin_layout Standard \SpecialChar LyX supports two types of commutative diagrams: \series bold amscd \series default and \series bold xymatrix \series default and are explained below. \end_layout \begin_layout Subsection Amscd Diagrams \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Diagrams \begin_inset IndexMacro subentry status open \begin_layout Plain Layout amscd \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Diagrams of this type visualize relations by vertical and horizontal lines or arrows: \begin_inset Formula \[ \begin{CD}A@>>>B@>>>C\\ @AAA@.@VVV\\ F@<<>> \series default a right arrow and \series bold @= \series default a long equal sign \end_layout \begin_layout Itemize \series bold @AAA \series default creates an up arrow, \series bold @VVV \series default a down arrow and \series bold @| \series default a vertical equal sign \end_layout \begin_layout Itemize \series bold @. \series default is a placeholder for non-existent relations \end_layout \begin_layout Standard All arrows can be labeled as follows: \end_layout \begin_layout Itemize If text inserted between the first and second < or >, resp., it is placed above the arrow. When it is inserted between the second and third one, it appears under the arrow. \end_layout \begin_layout Itemize When text for vertical arrows is inserted between the first and second A or V, resp., it is placed left beside the arrow. When it is inserted between the second and third one, it appears right beside the arrow. If the text contains an A or V, these letters must be set into a \SpecialChar TeX brace. \end_layout \begin_layout Standard As example a diagram with all possible relations: \end_layout \begin_layout Standard \begin_inset Formula \[ \begin{CD}A@>j>>B@>>k>C@=F\\ @AmAA@.@VV{V}V@|\\ D@<k>>F@=C \end{CD} \] \end_inset \end_layout \begin_layout Standard The command for this is: \begin_inset Newline newline \end_inset \series bold \backslash CD \begin_inset space \textvisiblespace{} \end_inset A@>j>>B@>>k>C@=F Ctrl+Return \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \series bold \backslash CD \begin_inset space \textvisiblespace{} \end_inset \end_layout \end_inset @AmAA@.@VV \backslash {V \series default \begin_inset Formula $\to$ \end_inset \series bold V@| Ctrl+Return \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \series bold \backslash CD \begin_inset space \textvisiblespace{} \end_inset \end_layout \end_inset D@<k>>F@=C \end_layout \begin_layout Subsection Xymatrix Diagrams \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Diagrams \begin_inset IndexMacro subentry status open \begin_layout Plain Layout xymatrix \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard To be able to use xymatrices, the \SpecialChar LaTeX -package \series bold xypic \series default must be installed. A xymatrix is created by inserting the command \series bold \backslash xymatrix \series default in a formula. Then you are able to add new matrix columns and rows like for normal matrices, see \begin_inset CommandInset ref LatexCommand ref reference "sec:Matrices" nolink "false" \end_inset . \end_layout \begin_layout Standard Contrary to amscd diagrams, xymatrices support diagonal and curved arrows, and much more. The commands used to create commutative diagrams and decorations are explained in detail in the \emph on XY-pic manual \emph default found in the menu \family sans Help\SpecialChar menuseparator Specific \begin_inset space ~ \end_inset Manuals \family default . \end_layout \begin_layout Subsection \noun on Feynman \noun default Diagrams \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Diagrams \begin_inset IndexMacro subentry status open \begin_layout Plain Layout Feynman \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard To be able to use \noun on Feynman \noun default -diagrams, the \SpecialChar LaTeX -package \series bold feyn \series default must be installed. A \noun on Feynman \noun default -diagram is created by inserting the command \series bold \backslash Diagram \series default in a formula. Then you will be able to add new matrix columns and rows like for normal matrices, see \begin_inset CommandInset ref LatexCommand ref reference "sec:Matrices" nolink "false" \end_inset . \end_layout \begin_layout Standard Examples of how to create \noun on Feynman- \noun default diagrams in \SpecialChar LyX are given in the \emph on Feynman-diagram \emph default manual that you find in the menu \family sans Help\SpecialChar menuseparator Specific \begin_inset space ~ \end_inset Manuals \family default . \end_layout \begin_layout Section User-defined Commands \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout User-defined commands \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default The names of user-defined commands and macros may only consist of Latin letters. \end_layout \end_inset \end_layout \begin_layout Subsection The Command \backslash newcommand \begin_inset CommandInset label LatexCommand label name "subsec:The-Command-newcommand" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout User-defined commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash newcommand \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout N \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash newcommand \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Many \SpecialChar LaTeX -commands are too long to be used frequently. But it is possible to define with the command \series bold \backslash newcommand \series default new shorter commands. \end_layout \begin_layout Standard The command scheme of \series bold \backslash newcommand \series default is: \end_layout \begin_layout Standard \series bold \backslash newcommand{new command name}[number of arguments][optional \series default \series bold value] \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \series bold \backslash newcommand \end_layout \end_inset {command definition} \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default Verify that the name of the new command is not already used in your document or by the \SpecialChar LaTeX -packages that you use. If you for example define the command \series bold \backslash le \series default for \series bold \backslash Leftarrow \series default , you will get an error message because \series bold \backslash le \series default is already defined as command for \begin_inset Quotes eld \end_inset \begin_inset Formula $\le$ \end_inset \begin_inset Quotes erd \end_inset . \end_layout \end_inset \end_layout \begin_layout Standard The number of arguments is an integer in the range 0 \begin_inset space \thinspace{} \end_inset - \begin_inset space \thinspace{} \end_inset 9 and specifies how many arguments the new command should have. With the optional value a value for an optional argument can be predefined. When this is done, the \emph on first \emph default \emph on a \emph default rgument of the new command is automatically an optional one. \end_layout \begin_layout Standard Here are some examples: \end_layout \begin_layout Itemize To define the command \series bold \backslash gr \series default for \series bold \backslash Longrightarrow \series default , the \SpecialChar LaTeX -preamble line is: \begin_inset VSpace medskip \end_inset \begin_inset Newline newline \end_inset \series bold \backslash newcommand{ \backslash gr}{ \backslash Longrightarrow} \end_layout \begin_layout Itemize To define the command \series bold \backslash us \series default for \series bold \backslash underline \series default , the argument (that should be underlined) must be taken into account. For this the preamble line is: \begin_inset VSpace medskip \end_inset \begin_inset Newline newline \end_inset \series bold \backslash newcommand{ \backslash us}[1]{ \backslash underline{#1}} \series default \begin_inset VSpace medskip \end_inset \begin_inset Newline newline \end_inset The character \series bold # \series default acts as argument placeholder, the \series bold 1 \series default behind it denotes that it is the placeholder for the first argument. \end_layout \begin_layout Itemize For \series bold \backslash framebox \series default one can e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset define the command \series bold \backslash fb \series default : \begin_inset VSpace medskip \end_inset \begin_inset Newline newline \end_inset \series bold \backslash newcommand{ \backslash fb}[3]{ \backslash framebox#1#2{$#3$}} \series default \begin_inset VSpace medskip \end_inset \begin_inset Newline newline \end_inset The two Dollar signs creates the extra formula needed for \series bold \backslash framebox \series default , see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Boxes-with-Frame" nolink "false" \end_inset . \end_layout \begin_layout Itemize To create a new command for \series bold \backslash fcolorbox \series default where the color for the box need not be specified, the argument for the color is defined optional: \begin_inset VSpace medskip \end_inset \begin_inset Newline newline \end_inset \series bold \backslash newcommand{ \backslash cb}[3][white]{ \backslash fcolorbox{#2}{#1}{$#3$}} \series default \begin_inset VSpace medskip \end_inset \begin_inset Newline newline \end_inset When the color is not specified when using \series bold \backslash cb \series default , the predefined color \series bold white \series default will be used. \end_layout \begin_layout Standard A test of the new defined commands: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout A \backslash gr \begin_inset space \textvisiblespace{} \end_inset B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $A\gr B$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash us{ABcd \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\us{ABcd}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash fb{[2cm] \begin_inset Formula $\to$ \end_inset \backslash { \begin_inset Formula $\to$ \end_inset \backslash { \backslash int \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\fb{[2cm]}{}{\int A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cb{red \begin_inset Formula $\to$ \end_inset \backslash { \backslash int \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\cb{red}{\int A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cb[green] \backslash {red \begin_inset Formula $\to$ \end_inset \backslash { \backslash int \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\cb[green]{red}{\int A=B}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard As is obvious, commands defined in the preamble do not display `nicely' in LyX itself. Most such commands can be defined in LyX using `math macros', however, which we are about to explain, and these do display nicely. \end_layout \begin_layout Subsection Math Macros \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout User-defined commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout Math macros \end_layout \end_inset \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Macros \end_layout \end_inset \end_layout \begin_layout Standard User-defined commands are especially convenient for complex expressions. For example if you are dealing with a document that has quadratic equations, the same solution type occurs several times. The general form of a quadratic equation is \begin_inset Formula \[ 0=\lambda^{2}+p\lambda+q \] \end_inset The general form of the solution is \begin_inset Formula \[ \lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q} \] \end_inset \end_layout \begin_layout Standard To define a command for the solution formula where only the three parameters \begin_inset Formula $\lambda$ \end_inset , \begin_inset Formula $p$ \end_inset and \begin_inset Formula $q$ \end_inset need to be specified and the index of \begin_inset Formula $\lambda$ \end_inset can be given optionally, the \SpecialChar LaTeX -preamble line is \begin_inset Newline newline \end_inset \series bold \backslash newcommand{ \backslash qG}[4][1, \backslash ,2]{#2_{#1}=- \backslash frac{#3}{2} \backslash pm \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \series bold \backslash newcommand \end_layout \end_inset \backslash sqrt{ \backslash frac{#3^{2}}{4}-#4}} \end_layout \begin_layout Standard To create with this the solution formula, the command \begin_inset Newline newline \end_inset \series bold \backslash qG{ \backslash lambda \begin_inset Formula $\to$ \end_inset \backslash {p \begin_inset Formula $\to$ \end_inset \backslash {q \series default is inserted to a formula \series bold . \end_layout \begin_layout Standard The definition of the new command is unintuitive because one has to know the schemes of all used \SpecialChar LaTeX commands, e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset that a fraction is inserted in \SpecialChar LaTeX as \series bold \backslash frac{numerator}{denominator} \series default . Furthermore one can easily forget a brace in the definition and cannot see in \SpecialChar LyX what the new command is doing. To avoid these problems \SpecialChar LyX offers the possibility to use math macros instead of the command \series bold \backslash newcommand \series default . \end_layout \begin_layout Standard A math macro is created by using the menu \family sans Insert\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \family default or the toolbar button \begin_inset Info type "icon" arg "math-macro newmacroname_newcommand" \end_inset . The math macro toolbar appears together with the following box where the macro is defined: \begin_inset Newline newline \end_inset \begin_inset space \hspace*{\fill} \end_inset \begin_inset Graphics filename clipart/macrobox.png scale 95 \end_inset \begin_inset space \hspace*{\fill} \end_inset \begin_inset Newline newline \end_inset \begin_inset FormulaMacro \newcommand{\qG}[4][1,\,2]{#2_{#1}=-\frac{#3}{2}\pm\sqrt{\frac{#3^{2}}{4}-#4}} \end_inset \backslash newmacroname is the default name of the macro that should be changed to something sensible. The wanted formula is inserted in the first blue box. An argument placeholder is inserted with the command \series bold \backslash #argumentnumber \series default , e. \begin_inset space \thinspace{} \end_inset g \begin_inset space \space{} \end_inset \series bold \backslash #1 \series default or by using the macro toolbar button \begin_inset Info type "icon" arg "math-macro-add-param" \end_inset . Argument placeholders are displayed red. A maximum of 9 \begin_inset space ~ \end_inset arguments are possible. Optional arguments are created with the toolbar button \begin_inset Info type "icon" arg "math-macro-add-optional-param" \end_inset . The first non-optional argument can be transformed to an optional one with the toolbar button \begin_inset Info type "icon" arg "math-macro-make-optional" \end_inset . In the second blue box the appearance of the macro in \SpecialChar LyX can be defined. Normally you want to see it as it is defined, so the box is kept empty. But when you have created a macro that needs lot of space on the screen, you can insert in the box for example \begin_inset Newline newline \end_inset \series bold qG: \backslash #1 \series default \series bold , \series default \series bold \backslash #2 \series default \series bold , \series default \series bold \backslash #3, \backslash #4 \begin_inset Newline newline \end_inset \series default For the macro only the arguments with the macro name in front of them will then be displayed in \SpecialChar LyX , leading to a better overview. The formula appears in the output as defined in the first box. \begin_inset Newline newline \end_inset The appearance of macros in formulas can furthermore be changed for single macros by setting the cursor in the macro and using the menu \family sans View\SpecialChar menuseparator (Un)fold \begin_inset space ~ \end_inset Math \begin_inset space ~ \end_inset Macro \family default . \end_layout \begin_layout Standard To use a macro, the macro name is inserted as command to a formula, in our case \series bold \backslash qG \series default . Our macro looks in \SpecialChar LyX like this: \begin_inset Newline newline \end_inset \begin_inset space \hspace*{\fill} \end_inset \begin_inset Graphics filename clipart/macrouse.png scale 95 \end_inset \begin_inset space \hspace*{\fill} \end_inset \begin_inset Newline newline \end_inset Here is our macro example with the arguments \begin_inset Formula $x$ \end_inset , \begin_inset Formula $\ln(x)$ \end_inset and \begin_inset Formula $B$ \end_inset : \end_layout \begin_layout Standard \begin_inset Formula \[ \qG x{\ln(x)}B \] \end_inset \end_layout \begin_layout Standard \SpecialChar LyX offers in the menu \family sans Tools\SpecialChar menuseparator Preferences\SpecialChar menuseparator Editing\SpecialChar menuseparator Control \family default different styles to edit macros. To find the style that suits you best, choose a style and set the cursor in a macro formula to see the difference. \end_layout \begin_layout Standard A math macro is transformed internally to a \series bold \backslash newcommand \series default command when exporting the document. The created \series bold \backslash newcommand \series default command is not placed in the \SpecialChar LaTeX -preamble, therefore macros can only be used in formulas that are in the document below the macro definition box. \end_layout \begin_layout Standard Math macros can also be directly created from a \series bold \backslash newcommand \series default command. When writing for example the command \series bold \begin_inset Newline newline \end_inset \backslash newcommand{ \backslash larrow}[2]{ \backslash xleftarrow[#2]{#1}} \begin_inset Newline newline \end_inset \series default in \SpecialChar LyX as normal text, highlighting it completely and using the shortcut \family sans Ctrl+M \family default , the command will be transformed to a math macro. Using this method you need to be careful that the \series bold \backslash newcommand \series default command is typed correctly, otherwise you get a faulty macro leading to \SpecialChar LaTeX errors. \end_layout \begin_layout Standard Math macros currently have the problem that further formulas in macro definitions are handled wrong. Therefore the example \series bold \backslash fb \series default from \begin_inset CommandInset ref LatexCommand ref reference "subsec:The-Command-newcommand" nolink "false" \end_inset cannot be created as macro. \end_layout \begin_layout Standard When the cursor is in a macro definition box, you will see the macro toolbar in \SpecialChar LyX : \end_layout \begin_layout Standard \begin_inset VSpace defskip \end_inset \end_layout \begin_layout Standard \begin_inset Graphics filename clipart/MacroToolbar.png \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Macros \begin_inset IndexMacro subentry status open \begin_layout Plain Layout Toolbar \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset VSpace defskip \end_inset \end_layout \begin_layout Standard The macro toolbar contains from left to right the following buttons: \end_layout \begin_layout Standard \begin_inset VSpace defskip \end_inset \end_layout \begin_layout Standard \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "icon" arg "math-macro-remove-param" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator Remove Last Argument \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "icon" arg "math-macro-add-param" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator Append Argument \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "icon" arg "math-macro-make-optional" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator Transform First Non-Optional to \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator \end_layout \end_inset Optional Argument \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "icon" arg "math-macro-make-nonoptional" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator Transform Last Optional to \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator \end_layout \end_inset Non-Optional Argument \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "icon" arg "math-macro-remove-optional-param" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator Remove Optional Argument \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "icon" arg "math-macro-add-optional-param" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator Insert Optional Argument \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "icon" arg "math-macro-remove-greedy-param" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator Remove Last Argument \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator \end_layout \end_inset Spitting Out To The Right \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "icon" arg "math-macro-append-greedy-param" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator Append Argument \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator \end_layout \end_inset Eating From The Right \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Info type "icon" arg "math-macro-add-greedy-optional-param" \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator Append Optional Argument \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Macro \begin_inset space ~ \end_inset Definition\SpecialChar menuseparator \end_layout \end_inset Eating From The Right \end_layout \end_inset \end_inset \end_layout \begin_layout Subsection Math Macros for External Commands \end_layout \begin_layout Standard Sometimes, you may need to use a \SpecialChar LaTeX package which defines a math command that is not natively supported in \SpecialChar LyX . This is easy enough to do: Just include the package in the preamble and type out the command in math. As with commands defined in the preamble, however, the display in \SpecialChar LyX will not be \begin_inset Quotes els \end_inset nice \begin_inset Quotes ers \end_inset . \end_layout \begin_layout Standard As of \SpecialChar LyX 2.4, this problem has been solved. Just define a math macro with empty \SpecialChar TeX slot! The \SpecialChar LyX part will be used for display, but no corresponding \SpecialChar LaTeX will be output. For example, the \series bold godelnum \series default package defines a \begin_inset Flex Code status collapsed \begin_layout Plain Layout \backslash Godelnum \end_layout \end_inset macro that puts a single argument into corner quotes. To get a nice \SpecialChar LyX display of this macro, just do: \end_layout \begin_layout Standard \begin_inset FormulaMacro \newcommand{\Godelnum}[1]{} {\ulcorner#1\urcorner} \end_inset \end_layout \begin_layout Standard The same trick, of course, can be used for commands defined in the preamble. \end_layout \begin_layout Section Computer Algebra Systems \end_layout \begin_layout Standard \SpecialChar LyX offers the exchange between mathematical expressions written in \SpecialChar LyX 's math editor and external applications or user defined scripts. Currently supported applications are \family sans Maple \family default , \family sans Mathematica \family default , \family sans Maxima \family default and \family sans Octave \family default . Note that the set of supported mathematical constructs is limited only to very simple cases. \end_layout \begin_layout Subsection Usage \end_layout \begin_layout Standard Write some expression in a formula, go to the \family sans Edit\SpecialChar menuseparator Math\SpecialChar menuseparator Use Computer Algebra System \family default menu and choose the application you have installed on the computer. After that the result of computation should show on the right side of the expression together with the \begin_inset Quotes eld \end_inset = \begin_inset Quotes erd \end_inset operator. \end_layout \begin_layout Standard Here are few simple examples (with results from \family typewriter Maxima \family default ) to show what kind of computations can be performed: \end_layout \begin_layout Itemize \begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$ \end_inset \end_layout \begin_layout Itemize \begin_inset Formula $\frac{37.0}{3}=12.33333333333333$ \end_inset \end_layout \begin_layout Itemize \begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$ \end_inset \end_layout \begin_layout Itemize \begin_inset Formula $\int\left(\frac{1}{1+x^{3}}\right)dx=-\frac{\log\left(x^{2}-x+1\right)}{6}+\frac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{\sqrt{3}}+\frac{\log\left(x+1\right)}{3}$ \end_inset \begin_inset Newline newline \end_inset \begin_inset Note Greyedout status open \begin_layout Plain Layout \series bold Note: \series default One needs to use proper delimiter insets \begin_inset Formula $\left(\right)$ \end_inset instead of simple '(' ')' characters. \end_layout \end_inset \end_layout \begin_layout Itemize \begin_inset Formula $\det\left[\begin{array}{ccc} 1 & 6 & 7\\ 2 & 5 & 8\\ 3 & 4 & 17 \end{array}\right]=-56$ \end_inset \end_layout \begin_layout Itemize \begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$ \end_inset \end_layout \begin_layout Itemize \begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit{i}_{2}}=0}^{\infty}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$ \end_inset \end_layout \begin_layout Itemize \begin_inset Formula $solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$ \end_inset \end_layout \begin_layout Subsection Keyboard shortcut \end_layout \begin_layout Standard Currently there is no keyboard shortcut for calling the algebra applications. One can easily bind a shortcut to the \family sans math-extern \family default \SpecialChar LyX function (see the \family sans \emph on \SpecialChar LyX Functions \family default \emph default manual). One could e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset bind the \family sans Return \family default key inside the math editor. To bind it to \family typewriter Maxima \family default one would use this shortcut definition command: \end_layout \begin_layout Standard \series bold command-alternatives paragraph-break;math-extern maxima \end_layout \begin_layout Section Miscellaneous \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Miscellaneous \end_layout \end_inset \end_layout \begin_layout Subsection Negative Numbers \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Numbers \begin_inset IndexMacro subentry status open \begin_layout Plain Layout negative \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Negative numbers often look ugly in formulas because the minus sign before the number is set with the same length as the minus operator sign. When writing the negative number in normal text, the minus sign appears correctly. \end_layout \begin_layout Standard Thus, the problem disappears when converting the minus sign to mathematical text. \end_layout \begin_layout Standard An example to visualize the problem: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout normal text: \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout x = -2 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout formula: \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $x=-2$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout solution: \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $x=\textrm{-}2$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Subsection Comma as decimal Separator \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Comma \end_layout \end_inset \end_layout \begin_layout Standard In \SpecialChar LaTeX a comma inside a formula is used, according to the English convention, as number group separator. So there will be space added behind all commas in formulas. \end_layout \begin_layout Standard To avoid this, the comma is highlighted and changed to mathematical text (shortcut \begin_inset Info type "shortcut" arg "math-mode" \end_inset ). \end_layout \begin_layout Standard To use all formula commas in the document as decimal separator, the file \series bold icomma.sty \series default \begin_inset Foot status collapsed \begin_layout Plain Layout \series bold icomma \series default is part of the \SpecialChar LaTeX -package \series bold was \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout was \end_layout \end_inset \end_layout \end_inset . \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout icomma \end_layout \end_inset \end_layout \end_inset is loaded with the \SpecialChar LaTeX -preamble line \end_layout \begin_layout Standard \series bold \backslash usepackage{icomma} \end_layout \begin_layout Subsection Physical Vectors \begin_inset CommandInset label LatexCommand label name "subsec:Physical-Vectors" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Vectors \begin_inset IndexMacro subentry status open \begin_layout Plain Layout physical \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Predefined vectors are offered by the \SpecialChar LaTeX -package \series bold braket \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout braket \end_layout \end_inset \end_layout \end_inset that is loaded with the \SpecialChar LaTeX -preamble line \end_layout \begin_layout Standard \series bold \backslash usepackage{braket} \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash ifbraket \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following table will only be displayed when the \SpecialChar LaTeX -package \series bold braket \series default is installed. \end_layout \end_inset \end_layout \begin_layout Standard The following commands are defined: \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Bra{ \backslash psi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Bra{\psi}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Ket{ \backslash psi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Ket{\psi}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Braket{ \backslash psi| \backslash phi \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\Braket{\psi|\phi}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard The command \series bold \backslash Braket \series default assures that all vertical bars are set in the size of the surrounding brackets: \begin_inset Formula \[ \Braket{\phi|J=\frac{3}{2}\,,\,M_{J}} \] \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash else \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following will be displayed when the \SpecialChar LaTeX -package \series bold braket \series default is not installed: \end_layout \end_inset \end_layout \begin_layout Standard You need to install the \SpecialChar LaTeX -package \series bold braket \series default to see the rest of this subsection in the output. \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fi \end_layout \end_inset \end_layout \begin_layout Standard The effect of \series bold \backslash Braket \series default can also be achieved using the command \series bold \backslash middle \series default , that is described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Automatic-Bracket-Size" nolink "false" \end_inset . \end_layout \begin_layout Subsection Self-defined Fractions \begin_inset CommandInset label LatexCommand label name "subsec:Self-defined-Fractions" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Fractions \begin_inset IndexMacro subentry status open \begin_layout Plain Layout self-defined \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard To define custom commands for fractions, the command \series bold \backslash genfrac \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout G \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash genfrac \end_layout \end_inset \end_layout \end_inset is used in the following scheme: \end_layout \begin_layout Standard \series bold \backslash genfrac{left \series default \series bold bracket}{right \series default \series bold bracket}{fraction bar thickness}{style} \begin_inset Newline newline \end_inset \begin_inset Phantom HPhantom status open \begin_layout Plain Layout \series bold \backslash genfrac \end_layout \end_inset {numerator}{denominator} \end_layout \begin_layout Standard The style is a number in the range of 0 \begin_inset space \thinspace{} \end_inset - \begin_inset space \thinspace{} \end_inset 3. \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Number \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Style (Size) \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 0 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout display style formula \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 1 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout inline formula \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 2 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout small \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout 3 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout tiny \end_layout \end_inset \end_inset \end_layout \begin_layout Standard When no style is given, the size is adjusted to the surrounding environment like for the command \series bold \backslash frac \series default . \end_layout \begin_layout Standard When no fraction bar thickness is given, the predefined value of 0.4 \begin_inset space \thinspace{} \end_inset pt will be used. \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset For example, the commands \series bold \backslash dfrac \series default and \series bold \backslash tbinom \series default from \begin_inset CommandInset ref LatexCommand ref reference "subsec:Fractions" nolink "false" \end_inset are defined with the commands \end_layout \begin_layout Standard \series bold \backslash newcommand{ \backslash dfrac}[2]{ \backslash genfrac{}{}{}{0}{#1}{#2}} \end_layout \begin_layout Standard and \end_layout \begin_layout Standard \series bold \backslash newcommand{ \backslash tbinom}[2]{ \backslash genfrac{(}{)}{0pt}{1}{#1}{#2}} \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset To define a fraction where the fraction bar thickness can be given as optional argument, the following line is inserted to the \SpecialChar LaTeX -preamble: \end_layout \begin_layout Standard \series bold \backslash newcommand{ \backslash fracS}[3][]{ \backslash genfrac{}{}{#1}{}{#2}{#3}} \end_layout \begin_layout Standard A test: \begin_inset Formula \begin{align*} \text{Command} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\ \text{Result} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B} \end{align*} \end_inset As one can see, the distance of the numerator and the denominator to the fraction bar is round about three times the bar thickness. \end_layout \begin_layout Subsection Canceled Formulas \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout canceled \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard There are four ways to cancel formulas or parts of formulas: \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash ifcancel \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following table will only be displayed when the \SpecialChar LaTeX -package \series bold cancel \series default is installed. \end_layout \end_inset \end_layout \begin_layout Standard \align center \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout Result \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cancel \begin_inset space \textvisiblespace{} \end_inset \backslash int \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\cancel{\int A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash bcancel \begin_inset space \textvisiblespace{} \end_inset \backslash int \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\bcancel{\int A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash xcancel \begin_inset space \textvisiblespace{} \end_inset \backslash int \begin_inset space \textvisiblespace{} \end_inset A=B \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\xcancel{\int A=B}$ \end_inset \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash cancelto \begin_inset space \textvisiblespace{} \end_inset \backslash int \begin_inset space \textvisiblespace{} \end_inset A=B \begin_inset Formula $\to$ \end_inset 1 \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \begin_inset Formula $\cancelto{1}{\int A=B}\hspace{3mm}$ \end_inset \end_layout \end_inset \end_inset \end_layout \begin_layout Standard \series bold \backslash cancelto \series default is especially suitable to visualize the reduction of fractions within formulas: \begin_inset Formula \[ \frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}} \] \end_inset \end_layout \begin_layout Standard To change the size of \series bold \backslash cancelto \series default 's \begin_inset Quotes eld \end_inset subscript \begin_inset Quotes erd \end_inset value one can add the \SpecialChar LaTeX -preamble line \end_layout \begin_layout Standard \series bold \backslash PassOptionsToPackage{option}{cancel} \end_layout \begin_layout Standard where \series bold option \series default is either \series bold samesize \series default which leads to the same size as for the canceled value, or \series bold Smaller \series default which makes is it a bit smaller than normal. \end_layout \begin_layout Standard To color the cancellation bar one adds this command as \SpecialChar TeX code: \end_layout \begin_layout Standard \series bold \backslash renewcommand{ \backslash CancelColor}{ \backslash color{red}} \end_layout \begin_layout Standard \series bold red \series default can be replaced by a color of your choice. \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash renewcommand{ \backslash CancelColor}{ \backslash color{red}} \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset Formula \[ \frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}} \] \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash renewcommand{ \backslash CancelColor}{ \backslash color{black}} \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout reset the color \end_layout \end_inset \end_layout \begin_layout Standard For further customizations, see the documentation of the package \series bold cancel \series default , \begin_inset CommandInset citation LatexCommand cite key "cancel" literal "true" \end_inset . \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout cancel \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash else \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following will be displayed when the \SpecialChar LaTeX -package \series bold cancel \series default is not installed: \end_layout \end_inset \end_layout \begin_layout Standard You need to install the \SpecialChar LaTeX -package \series bold cancel \series default to see the rest of this subsection in the output. \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fi \end_layout \end_inset \end_layout \begin_layout Subsection Formulas in Section Headings \begin_inset CommandInset label LatexCommand label name "subsec:Formulas-in-Section" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout in section headings \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard When formulas are used in section headings, the following has to be taken into account: \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout When \series bold hyperref \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout hyperref \end_layout \end_inset \end_layout \end_inset support is enabled in the document settings dialog under \family sans PDF \begin_inset space ~ \end_inset Properties \family default , PDF-bookmarks are created for every section heading in the table of contents. If a section heading contains formulas, they are incorrectly displayed in the bookmark text, because formulas in bookmarks infringe the PDF conventions. \end_layout \end_inset \end_layout \begin_layout Standard Both problems can be solved by inserting at the end of the section heading a short title with the menu \family sans Insert\SpecialChar menuseparator Short \begin_inset space ~ \end_inset Title \family default . Short titles are used as alternative for multiline section headings to keep the table of contents clearly arranged. Only the short title appears in the table of contents and therefore also in the PDF-bookmark. \end_layout \begin_layout Standard When formulas should be used in the table of contents but \series bold hyperref \series default is used, one can use the following command in \SpecialChar TeX mode: \end_layout \begin_layout Standard \series bold \backslash texorpdfstring{part}{alternative} \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Commands \begin_inset IndexMacro subentry status open \begin_layout Plain Layout T \end_layout \end_inset \begin_inset IndexMacro subentry status open \begin_layout Plain Layout \backslash texorpdfstring \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Part is the part of the heading that shouldn't appear in the PDF-bookmark. This can be characters, formulas, footnotes, but also cross-references. The alternative is used instead of the part for the bookmark. \end_layout \begin_layout Standard Here are two example headings: \begin_inset VSpace -3mm \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash boldmath \end_layout \end_inset \end_layout \begin_layout Subsubsection Heading without formula in table of contents \begin_inset Formula $\sqrt{-1}=\mathrm{i}$ \end_inset \begin_inset Argument 1 status collapsed \begin_layout Plain Layout Heading without formula in table of contents \end_layout \end_inset \end_layout \begin_layout Subsubsection Heading with formula in table of contents \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash texorpdfstring{ \end_layout \end_inset \begin_inset Formula $\sqrt{-1}=\mathrm{i}$ \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout }{} \end_layout \end_inset \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash unboldmath \end_layout \end_inset In the first heading a short title was used, in the second one \series bold \backslash texorpdfstring \series default . \end_layout \begin_layout Standard To get the same formatting as for the other headings, the complete heading was set into a \series bold boldmath \series default environment \begin_inset Foot status open \begin_layout Plain Layout See \begin_inset CommandInset ref LatexCommand ref reference "subsec:Bold-Formulas" nolink "false" \end_inset \end_layout \end_inset . \end_layout \begin_layout Subsection Formulas in multi-column Text \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout in multi-column text \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Formulas in multi-column text are often too wide to fit into a column and thus need to be set over the whole page width. This is done by using the \SpecialChar LaTeX -package \series bold multicol \series default \begin_inset Foot status collapsed \begin_layout Plain Layout \series bold multicol \series default is part of every \SpecialChar LaTeX standard installation. \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout multicol \end_layout \end_inset \end_layout \end_inset , that is loaded with the \SpecialChar LaTeX -preamble line \end_layout \begin_layout Standard \series bold \backslash usepackage{multicol} \end_layout \begin_layout Standard \begin_inset Note Greyedout status open \begin_layout Plain Layout Note that in this case the setting \family sans Two-column \begin_inset space ~ \end_inset document \family default in the menu \family sans Document\SpecialChar menuseparator Settings \family default under \family sans Text \begin_inset space ~ \end_inset Layout \family default \emph on \emph default must \emph on not \emph default be selected. \end_layout \end_inset \end_layout \begin_layout Standard Before the multi-column text the command \end_layout \begin_layout Standard \series bold \backslash begin{multicols}{column number} \end_layout \begin_layout Standard is written in \SpecialChar TeX mode. The column number is a number in the range of 2 \begin_inset space \thinspace{} \end_inset - \begin_inset space \thinspace{} \end_inset 10. Before the formula the multi-column text is ended by inserting the command \end_layout \begin_layout Standard \series bold \backslash end{multicols} \end_layout \begin_layout Standard in \SpecialChar TeX mode. \end_layout \begin_layout Standard Due to the command some space is automatically added before the formula. To correct this, -6 \begin_inset space \thinspace{} \end_inset mm vertical space is inserted before the formula. When the formula style \series bold Indented \begin_inset Foot status open \begin_layout Plain Layout For formula styles see \begin_inset CommandInset ref LatexCommand ref reference "sec:Formula-Styles" nolink "false" \end_inset \end_layout \end_inset \series default is used, a -9 \begin_inset space \thinspace{} \end_inset mm space is inserted instead. \end_layout \begin_layout Standard As example a multi-column text with a displayed formula: \end_layout \begin_layout Standard \lang ngerman \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash begin{multicols}{2} \end_layout \end_inset Das Spektrum wird fouriertransformiert. Die Fouriertransformation wird verwendet, um die überlagerten Signale (Netzwerk, Lösungsmittel) zu trennen. Nachdem wir die Phasenverschiebung bestimmen konnten, interessiert uns nun das Aussehen des Ausgangssignals. Im Experiment haben wir es mit sehr vielen Teilchen zu tun, so dass man über alle Phasen integrieren muss. Sei nun \begin_inset Formula $S$ \end_inset unser normiertes Ausgangssignal und \begin_inset Formula $P$ \end_inset die Phasenverteilungsfunktion, so ergibt sich die Beziehung \begin_inset ERT status collapsed \begin_layout Plain Layout \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 \end{equation} \end_inset \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash begin{multicols}{2} \end_layout \end_inset wobei \begin_inset Formula $S_{0}$ \end_inset das Signal ohne Gradient ist und die Normierungsbedingung \begin_inset Formula $\int_{-\infty}^{\infty}P(\phi,t)\,\mathrm{d}\phi=1$ \end_inset gilt. Nun dürfen wir aber nicht den Relaxationsprozess außer Acht lassen. Direkt nach dem \begin_inset Formula $\nicefrac{\pi}{2}$ \end_inset \begin_inset space \thinspace{} \end_inset -rf-Puls beginnt sich die Magnetisierung zu entfokussieren, wodurch sich das Signal zusätzlich abschwächt. Diese Abschwächung verläuft exponentiell in Abhängigkeit der so genannten \begin_inset Formula $T_{2}$ \end_inset -Zeit. \end_layout \begin_layout Standard \lang ngerman \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash end{multicols} \end_layout \end_inset \end_layout \begin_layout Subsection Formulas with Description of Variables \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Formula \begin_inset IndexMacro subentry status open \begin_layout Plain Layout with description of variables \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard To describe variables within a formula, like in formula \begin_inset CommandInset ref LatexCommand eqref reference "eq:within" nolink "false" \end_inset , a 2 \series bold × \series default \begin_inset Formula $n$ \end_inset \begin_inset space ~ \end_inset matrix is used with left aligned columns for the \begin_inset Formula $n$ \end_inset used variables. \begin_inset Foot status collapsed \begin_layout Plain Layout For matrices see \begin_inset CommandInset ref LatexCommand ref reference "sec:Matrices" nolink "false" \end_inset \end_layout \end_inset To set the description in a smaller size, before the matrix e. \begin_inset space \thinspace{} \end_inset g. \begin_inset space \space{} \end_inset the command \series bold \backslash footnotesize \series default is inserted. \begin_inset Foot status collapsed \begin_layout Plain Layout For font sizes see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Font-Sizes" nolink "false" \end_inset \end_layout \end_inset \end_layout \begin_layout Standard When the formula style \series bold Indented \begin_inset Foot status collapsed \begin_layout Plain Layout For formula styles see \begin_inset CommandInset ref LatexCommand ref reference "sec:Formula-Styles" nolink "false" \end_inset \end_layout \end_inset \series default is used, a \series bold \backslash hfill \series default \begin_inset Foot status collapsed \begin_layout Plain Layout \series bold \backslash hfill \series default only works in formulas with the style \series bold Indented \series default , see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Variable-Space" nolink "false" \end_inset . \end_layout \end_inset is inserted before and after the matrix to have the same separation of the matrix from the equation and the side margin. \end_layout \begin_layout Standard When the formula style \series bold Centered \series default is used, the method described in \begin_inset CommandInset ref LatexCommand ref reference "subsec:Flalign-Environment" nolink "false" \end_inset is used to indent formulas. Formula \begin_inset CommandInset ref LatexCommand eqref reference "eq:within" nolink "false" \end_inset consists of five columns where in the first two columns contain the equation, the third the matrix and the last one an empty \SpecialChar TeX brace. \begin_inset Formula \begin{flalign} \hspace{30pt}F_{A} & =\rho·V·g & {\footnotesize \begin{array}{ll} \rho & \textrm{density}\\ V & \textrm{volume}\\ g & \textrm{gravitational acceleration} \end{array}} & & {}\label{eq:within} \end{flalign} \end_inset \end_layout \begin_layout Subsection Upright small Greek Letters \begin_inset CommandInset label LatexCommand label name "subsec:Upright-small-Greek" \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Greek letters \begin_inset IndexMacro subentry status open \begin_layout Plain Layout upright \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard Most of the math fonts only provide italic small Greek letters. But for symbols of elementary particles like pions and neutrinos, upright Greek letters are needed. The file \series bold upgreek.sty \series default \begin_inset Foot status collapsed \begin_layout Plain Layout \series bold upgreek \series default is part of the \SpecialChar LaTeX -package \series bold was \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout was \end_layout \end_inset \end_layout \end_inset . \end_layout \end_inset \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout upgreek \end_layout \end_inset \end_layout \end_inset that is loaded with the \SpecialChar LaTeX -preamble line \end_layout \begin_layout Standard \series bold \backslash usepackage{upgreek} \end_layout \begin_layout Standard provides them. \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash ifupgreek \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following table will only be displayed when the \SpecialChar LaTeX -package \series bold upgreek \series default is installed: \end_layout \end_inset They are created when the command for a small Greek letter is started with \series bold up \series default . For example the command \series bold \backslash uptau \series default creates this: \begin_inset Formula $\uptau$ \end_inset \end_layout \begin_layout Standard With these commands reactions of elementary particles can be typeset: \begin_inset Formula \[ \uppi^{+}\to\upmu^{+}+\upnu_{\upmu} \] \end_inset \end_layout \begin_layout Standard The upright letters are more bold and wider than the italic ones. They should therefore not be used for units like \begin_inset Quotes eld \end_inset µm \begin_inset Quotes erd \end_inset . \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash else \end_layout \end_inset \begin_inset Note Note status open \begin_layout Plain Layout The following will be displayed when the \SpecialChar LaTeX -package \series bold upgreek \series default is not installed: \end_layout \end_inset \end_layout \begin_layout Standard You need to install the \SpecialChar LaTeX -package \series bold upgreek \series default to see the rest of this subsection in the output. \end_layout \begin_layout Standard \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash fi \end_layout \end_inset \end_layout \begin_layout Subsection Text Characters in Formulas \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Text \begin_inset IndexMacro subentry status open \begin_layout Plain Layout in formulas \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Standard In some cases you might want to insert text characters directly into formulas. For example the centered dot · is often used in formulas like \begin_inset Formula $\nu=5·10^{5}\,\mathrm{Hz}$ \end_inset . One would have to insert the command \series bold \backslash cdot \series default \begin_inset Foot status collapsed \begin_layout Plain Layout See \begin_inset CommandInset ref LatexCommand ref reference "subsec:Binary-Operators" nolink "false" \end_inset \end_layout \end_inset all the time, because this character is defined in all encodings as a text character. But the encoding can be changed by this \SpecialChar LaTeX -preamble line: \end_layout \begin_layout Standard \series bold \backslash Declare Inputtext{183}{ \backslash ifmmode \backslash cdot \backslash else \backslash textperiodcentered \backslash f\SpecialChar ligaturebreak i} \end_layout \begin_layout Standard The character encoding (menu \family sans Document\SpecialChar menuseparator Settings\SpecialChar menuseparator Language \family default ) specifies what character appears when a keyboard key is pressed. When the key for the character '·' is pressed, internally the command \series bold \backslash textperiodcentered \series default is used. But this command is not available in a formula so that you would get \SpecialChar LaTeX -errors. With the changed encoding the correct command is chosen automatically, depending on if the character was inserted into a formula or not. \end_layout \begin_layout Standard The encoding of several characters is saved in definition files. For example the encoding \series bold latin9 \series default is defined in the file \series bold latin9.def \series default which is in the installation folder of \SpecialChar LaTeX . Encodings should only be changed via the \SpecialChar LaTeX -preamble and not in the definition files. Otherwise documents could not be edited by other \SpecialChar LyX users working on other computers. \end_layout \begin_layout Standard \begin_inset VSpace medskip \end_inset Besides the centered dot, in this document the degree sign ° is defined with the following \SpecialChar LaTeX -preamble line so that it can be directly inserted into a formula: \end_layout \begin_layout Standard \series bold \backslash DeclareInputtext{176}{ \backslash ifmmode^ \backslash circ \backslash else \backslash textdegree \backslash f\SpecialChar ligaturebreak i} \end_layout \begin_layout Subsection \SpecialChar LaTeX -comments in formulas \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout \SpecialChar LaTeX -comments \end_layout \end_inset \end_layout \begin_layout Standard In text you can insert a comment that will only be visible in the \SpecialChar LaTeX source code of your file with the menu \family sans Insert\SpecialChar menuseparator Note\SpecialChar menuseparator Comment \family default . This is not possible in a formula but you can insert \SpecialChar LaTeX -comments with the command \end_layout \begin_layout Standard \series bold \backslash % \end_layout \begin_layout Standard This creates a box in which you can write your comment. Due to a bug in \SpecialChar LyX \begin_inset Foot status collapsed \begin_layout Plain Layout \begin_inset CommandInset href LatexCommand href name "LyX-bug #9002" target "https://www.lyx.org/trac/ticket/9002" literal "false" \end_inset \end_layout \end_inset you cannot write normal text inside the comment, even when you use mathematical text, you will see its \SpecialChar LaTeX -commands in the \SpecialChar LaTeX -output. \begin_inset Newline newline \end_inset This a formula with a \SpecialChar LaTeX -comment: \begin_inset Formula \[ A=B%\text{This is the comment} \] \end_inset \end_layout \begin_layout Standard \begin_inset Newpage newpage \end_inset \end_layout \begin_layout Section \start_of_appendix Typographic Advice \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Typographic advice \end_layout \end_inset \end_layout \begin_layout Standard This section is a summary of the most important typographic rules, listed in ISO norms. \begin_inset Foot status collapsed \begin_layout Plain Layout This collection was partly taken from the German semi-official dictionary called \begin_inset Quotes eld \end_inset Duden \begin_inset Quotes erd \end_inset \begin_inset CommandInset citation LatexCommand cite key "Duden" literal "true" \end_inset that lists some of the ISO rules. More rules are listed in \begin_inset CommandInset citation LatexCommand cite key "Checklist" literal "true" \end_inset . \end_layout \end_inset \end_layout \begin_layout Itemize Physical units are \emph on always \emph default set upright \begin_inset Foot status collapsed \begin_layout Plain Layout Done with font styles, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Font-Styles" nolink "false" \end_inset \end_layout \end_inset , no matter if they appear in italic text: 30 \begin_inset space \thinspace{} \end_inset km/h \begin_inset Newline newline \end_inset Between the value and the unit is the smallest space, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Predefined-Space" nolink "false" \end_inset . \begin_inset Newline newline \end_inset This convention is automatically fulfilled when the command \series bold \backslash unittwo \series default is used. When it is entered in a formula, two boxes appear. In the first one the value is inserted, in the second one the unit, and the result is as above: \begin_inset Formula $\unit[30]{km/h}$ \end_inset \begin_inset space \thinspace{} \end_inset . Note that \series bold \backslash unittwo \series default is not a real \SpecialChar LaTeX command but the command \series bold \backslash unit[value]{unit} \series default , therefore you cannot use it in \SpecialChar TeX code. \end_layout \begin_layout Itemize Percent and perthousand signs are set like physical units: \begin_inset Newline newline \end_inset 1.2 \begin_inset space \thinspace{} \end_inset ‰ alcohol in blood \end_layout \begin_layout Itemize The degree sign follows the value directly: 15°, except when it is used in units: 15 \begin_inset space \thinspace{} \end_inset °C \end_layout \begin_layout Itemize In numbers with more than four digits the smallest space is inserted before every third digit to group them: \family roman \series medium \shape up \size normal \emph off \bar no \noun off \color none 18 \begin_inset space \thinspace{} \end_inset 473 \begin_inset space \thinspace{} \end_inset 588 \end_layout \begin_layout Itemize For dimensions like 120×90×40 \begin_inset space \thinspace{} \end_inset cm the multiplication sign \begin_inset Quotes eld \end_inset × \begin_inset Quotes erd \end_inset is used. It is available either via the command \series bold \backslash times \series default or via the menu \family sans Insert\SpecialChar menuseparator Special Character\SpecialChar menuseparator Symbols \family default . \end_layout \begin_layout Itemize Functions with names consisting of several letters are set upright to avoid confusions, see \begin_inset CommandInset ref LatexCommand ref reference "subsec:Predefined-Functions" nolink "false" \end_inset . \end_layout \begin_layout Itemize Indices consisting of several letters, are set upright: \begin_inset Formula $E_{\mathrm{kin}}$ \end_inset \begin_inset Newline newline \end_inset Components of matrices are set italic: \begin_inset Formula $\hat{H}_{kl}$ \end_inset \end_layout \begin_layout Itemize The differentiation/integration operator 'd', the Euler's number 'e' and the imaginary unit 'i' should be set upright, to avoid mixing them up with other variables. \end_layout \begin_layout Itemize The character that denotes a \noun on Fourier \noun default transformation is inserted either by the command \series bold \backslash mathscr \begin_inset space \textvisiblespace{} \end_inset F \series default or via the menu \family sans Insert\SpecialChar menuseparator Special Character\SpecialChar menuseparator Symbols\SpecialChar menuseparator Letterlike \begin_inset space ~ \end_inset Symbols \family default : \begin_inset Formula $\mathscr{F}$ \end_inset \end_layout \begin_layout Standard \begin_inset Newpage newpage \end_inset \end_layout \begin_layout Section Synonyms \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Synonyms \end_layout \end_inset \end_layout \begin_layout Standard Some characters and symbols can be created with several commands. Here is a list of the synonym commands: \end_layout \begin_layout Standard \begin_inset VSpace bigskip \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout equivalent to \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ast \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout * \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash choose \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash binom \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash geq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ge \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lbrace \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout { \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lbracket \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout [ \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash leftarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash gets \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash leq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash le \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lor \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash vee \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash neq \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash not= \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash slash \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout / \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash vert \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout | \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset Tabular \begin_inset Text \begin_layout Plain Layout Command \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout equivalent to \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash backslash \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash \backslash \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dasharrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash dashrightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash land \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash wedge \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rbrace \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout } \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rbracket \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout ] \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash rightarrow \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash to \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash lnot \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash neg \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ne \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash not= \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash owns \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash ni \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash square \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Box \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash Vert \end_layout \end_inset \begin_inset Text \begin_layout Plain Layout \backslash | \end_layout \end_inset \end_inset \begin_inset space \hfill{} \end_inset \begin_inset CommandInset href LatexCommand href name "List" target "https://ctan.org/tex-archive/info/symbols/comprehensive/symbols-a4.pdf" literal "false" \end_inset \end_layout \begin_layout Standard \begin_inset Newpage newpage \end_inset \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "TLC2" literal "true" \end_inset \shape smallcaps F. Mittelbach; M. Goossens \shape default : \shape italic The \SpecialChar LaTeX Companion \shape default . Addison Wesley, 2004 \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "Mathmode" literal "true" \end_inset \begin_inset CommandInset href LatexCommand href name "Description" target "http://mirrors.ctan.org/obsolete/info/math/voss/mathmode/Mathmode.pdf" literal "false" \end_inset of \SpecialChar LaTeX 's math abilities \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "AMS" literal "true" \end_inset \begin_inset CommandInset href LatexCommand href name "Description" target "http://tug.ctan.org/info/amslatex/english/amsldoc.pdf" literal "false" \end_inset of \begin_inset ERT status collapsed \begin_layout Plain Layout \backslash AmS \end_layout \end_inset -\SpecialChar LaTeX \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "Symbols" literal "true" \end_inset \begin_inset CommandInset href LatexCommand href name "List" target "http://tug.ctan.org/info/symbols/comprehensive/symbols-a4.pdf" literal "false" \end_inset of all symbols available with \SpecialChar LaTeX -packages \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "cancel" literal "true" \end_inset \begin_inset CommandInset href LatexCommand href name "Documentation" target "https://www.ctan.org/tex-archive/macros/latex/contrib/cancel/cancel.pdf" literal "false" \end_inset of the \SpecialChar LaTeX -package \series bold cancel \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout cancel \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "hyperref" literal "true" \end_inset \begin_inset CommandInset href LatexCommand href name "Documentation" target "https://mirrors.ctan.org/macros/latex/contrib/hyperref/doc/hyperref-doc.pdf" literal "false" \end_inset of the \SpecialChar LaTeX -package \series bold hyperref \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout hyperref \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "mhchem" literal "true" \end_inset \begin_inset CommandInset href LatexCommand href name "Documentation" target "https://www.ctan.org/tex-archive/macros/latex/contrib/mhchem/mhchem.pdf" literal "false" \end_inset of the \SpecialChar LaTeX -package \series bold mhchem \series default \begin_inset Index idx range none pageformat default status collapsed \begin_layout Plain Layout Packages \begin_inset IndexMacro subentry status open \begin_layout Plain Layout mhchem \end_layout \end_inset \end_layout \end_inset \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "Duden" literal "true" \end_inset \emph on Duden Band \begin_inset space ~ \end_inset 1 \emph default . 22. \begin_inset space ~ \end_inset Auflage, Dudenverlag, 2000 \end_layout \begin_layout Bibliography \begin_inset CommandInset bibitem LatexCommand bibitem key "Checklist" literal "true" \end_inset \begin_inset CommandInset href LatexCommand href name "Check list" target "https://www.nist.gov/physical-measurement-laboratory/special-publication-811" literal "false" \end_inset for reviewing manuscripts \end_layout \begin_layout Standard \begin_inset CommandInset index_print LatexCommand printindex type "idx" name "Index" literal "false" \end_inset \end_layout \end_body \end_document