%%% ==================================================================== %%% @LaTeX-file{ %%% author = "Scott Pakin", %%% version = "13.0", %%% date = "25 June 2020", %%% time = "20:50:06 MDT", %%% filename = "symbols.tex", %%% checksum = "45594 22540 71345 1019679", %%% email = "scott+clsl@pakin.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "symbols, LaTeX2e, typesetting, accents, %%% mathematics, scientific, dingbats, fonts", %%% supported = "yes", %%% abstract = "This document lists thousands of symbols and %%% the corresponding LaTeX commands that %%% produce them. Some of these symbols are %%% guaranteed to be available in every LaTeX2e %%% system; others require fonts and packages %%% that may not accompany a given distribution %%% and that therefore need to be installed. %%% All of the fonts and packages used to %%% prepare this document -- as well as this %%% document itself -- are freely available %%% from the Comprehensive TeX Archive Network %%% (http://www.ctan.org).", %%% docstring = "This LaTeX document showcases thousands of %%% symbols that are available to authors. The %%% original version of this document was %%% written by David Carlisle on 1994/10/02. %%% It was subsequently changed and expanded by %%% Scott Pakin. %%% %%% To build this document, run ``latex %%% symbols'', then ``makeindex -s gind.ist %%% symbols'', then two more ``latex symbols'' %%% commands. This ensures the stability of %%% all generated content (tables, references, %%% etc.) %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by %%% the equivalent of the standard UNIX wc %%% (word count) utility output of lines, %%% words, and characters. This is produced by %%% Robert Solovay's checksum utility. This file %%% header was produced with the help of Nelson %%% Beebe's filehdr utility. Both checksum and %%% filehdr are available from CTAN %%% (http://www.ctan.org)." %%% } %%% ==================================================================== \NeedsTeXFormat{LaTeX2e} \IfFileExists{cmap.sty}{\RequirePackage[resetfonts]{cmap}}{} \documentclass{article} \usepackage{array} \usepackage{longtable} \usepackage{textcomp} \usepackage{fakelatexsym} \usepackage{varioref} \usepackage{xspace} \usepackage{makeidx} \usepackage{verbatim} \usepackage{graphicx} \usepackage{ifpdf} \usepackage{tabularx} \usepackage{keyval} \newcommand{\doctitle}{Comprehensive \LaTeX\ Symbol List} % Reusable \title{The \doctitle} \author{\person{Scott}{Pakin} \texttt{}% \thanks{The original version of this document was written by \person{David}{Carlisle}, with several additional tables provided by \person{Alexander}{Holt}. See \vref{about-doc} for more information about who did what.}} \date{25 June 2020} \makeindex %%% %%% TO-DO LIST %%% * Proofread, especially looking for symbols defined by more %%% than one symbol set or symbols that should be in a table %%% but aren't. %%% * Add more symbol tables. (Did we miss any common, standard, or %%% useful ones?) %%% * Further index symbols by _description_ (e.g., "perpendicular" %%% for "\perp"). This would be really useful, but extremely %%% time-consuming to do. Note that Adobe's Web site has a list %%% of the names of all the Zapf Dingbats characters. Unfortunately, %%% these names can be rather long, like "notched upper right-shadowed %%% white rightwards arrow" for \ding{241}. %%% * Find some way to associate each package with a flag indicating %%% whether the corresponding fonts are in bitmapped or vector %%% format. %%% * Verify that there aren't any missing symbols in the current %%% packages (especially after font upgrades). %%% * Reduce the amount of duplication, in particular with regard to %%% large math fonts that all define \subset, \supset, \prec, \succ, %%% etc. Perhaps include a canonical table then have other fonts %%% refer back to that, showing samples only of more unique characters. %%% % Index "X Y" and "Y, X". The "begin" and "end" variants are for page ranges. \newcommand{\idxboth}[2]{\mbox{}\index{#1 #2}\index{#2>#1}\index{#2}} \newcommand{\idxbothbegin}[2]{\mbox{}\index{#1 #2|(}\index{#2>#1|(}\index{#2|(}} \newcommand{\idxbothend}[2]{\mbox{}\index{#1 #2|)}\index{#2>#1|)}\index{#2|)}} % Index package names and hyperlink them to the CTAN package information. % An optional argument of "index=false" suppresses indexing the package name. % An optional argument of "pkg=" uses package for the CTAN % hyperlink target. % An optional argument of "link=" replaces the whole hyperlink with . % An optional argument of "nolink" suppresses the hyperlink entirely. % An optional argument of "fmt=" typesets the package name using . % The package name must be pure text. Use "fmt=" for special formatting. % Define \pkgnameopts as the default options for all subsequent calls. % Use \setpkgnameopts to set the default options for a specific package. \def\equalsign{=} \newcommand*{\catalogueURL}[1]{% http://www.ctan.org/pkg/#1% } \makeatletter \define@key{pkgname}{pkg}{\def\pkglinktarget{#1}} \define@key{pkgname}{link}{\def\catalogueURL##1{#1}} \define@key{pkgname}{nolink}[true]{\def\pkglink##1{\pkgnamefmt{##1}}} \define@key{pkgname}{index}[true]{\csname pkgidx#1\endcsname} \define@key{pkgname}{fmt}{\def\pkgnamefmt##1{#1}} \def\pkgnameopts{} \newcommand{\setpkgnameopts}[2]{% \expandafter\gdef\csname pkgnameopts@#1\endcsname{#2}% } \makeatother \newif\ifpkgidx \newcommand{\pkgname}[2][]{% \bgroup \def\pkglinktarget{#2}% \def\pkgnamefmt##1{\textsf{##1}}% \def\pkglink##1{\href{\catalogueURL{\pkglinktarget}}{\pkgnamefmt{##1}}}% \pkgidxtrue \edef\next{\noexpand\setkeys{pkgname}{\pkgnameopts}}\next \expandafter\ifx\csname pkgnameopts@#2\endcsname\relax \else \edef\next{\noexpand\setkeys{pkgname}{\csname pkgnameopts@#2\endcsname}}% \next \fi \setkeys{pkgname}{#1}% \pkglink{#2}% \ifpkgidx \def\equalsign{!=}% % Escape the equals sign for makeindex's sake. \index{#2=\pkglink{#2} (package)}% \index{packages>#2=\pkglink{#2}}% \fi \egroup } % Index some other logical styles. \newcommand{\optname}[2]{% \textsf{#2}% \index{#2=\textsf{#2} (\textsf{#1} package option)}% \index{package options>#2=\textsf{#2} (\textsf{#1})}} \newcommand{\filename}[1]{% \texttt{#1}% \index{#1=\texttt{#1} (file)}} \newcommand{\hfilename}[2]{% \href{#1}{\texttt{#2}}% \index{#2=\noexpand\href{#1}{\noexpand\texttt{#2}} (file)}} \newcommand{\fileext}[1]{% \texttt{.#1}% \index{#1 files=\texttt{.#1} files}% \index{file extensions>#1=\texttt{.#1}}% } \newcommand{\PSfont}[1]{% #1% \index{#1 (font)}% \index{fonts>#1}% } \DeclareRobustCommand{\person}[2]{#1\index{#2, #1} #2} % Index common words and phrases. \newcommand{\latex}{\LaTeX\index{LaTeX=\string\LaTeX}\xspace} \newcommand{\latexE}{\LaTeXe\index{LaTeX2e=\string\LaTeXe}\xspace} \newcommand{\metafont}{\MF\index{Metafont=\string\MF}\xspace} \newcommand{\tex}{\TeX\index{TeX=\string\TeX}\xspace} \newcommand{\xypic}{% \mbox{\kern-.1em X\kern-.3em\lower.4ex\hbox{Y\kern-.15em}-pic}% \index{Xy-pic=\mbox{\kern-.1em X\kern-.3em\lower.4ex\hbox{Y\kern-.15em}-pic}}} \newcommand{\TeXbook}{% The \TeX{}book\index{TeXbook, The=\TeX{}book, The}~\cite{Knuth:ct-a}\xspace} \newcommand{\ctt}{% \texttt{comp.text.tex}% \index{comp.text.tex=\texttt{comp.text.tex} (newsgroup)}\xspace} \newcommand{\fntenc}[1][]{% \def\firstarg{#1}% font encoding% \index{font encodings}% \ifx\firstarg\empty% \else \index{font encodings>\firstarg}% \fi } \newcommand{\selftex}{\hfilename{http://mirror.ctan.org/info/symbols/comprehensive/source/symbols.tex}{symbols.tex}\xspace} \newcommand{\fontdefdtx}{\hfilename{http://mirror.ctan.org/macros/latex/base/fontdef.dtx}{fontdef.dtx}\xspace} \newcommand{\testfonttex}{\hfilename{http://mirror.ctan.org/macros/plain/base/testfont.tex}{testfont.tex}\xspace} \newcommand{\TUGboat}{% \href{http://www.tug.org/TUGboat/}{TUGboat}% \index{TUGboat=\href{http://www.tug.org/TUGboat/}{TUGboat}}\xspace } \newcommand{\thanhhanthe}{Th\`anh, H\`an Th\diatop[\'|\^e]} % "|" confuses MakeIndex. \newcommand{\postscript}{PostScript\index{PostScript}\xspace} \newcommand{\ascii}{ASCII\index{ASCII}\xspace} \newcommand{\utfviii}{\mbox{UTF-8}\index{UTF-8}\xspace} \DeclareRobustCommand{\xelatexInternal}{% \mbox{X\lower0.5ex\hbox{\kern-0.15em\reflectbox{E}}\kern-0.1em\LaTeX}} \newcommand{\xelatex}{\xelatexInternal\index{XeLaTeX=\string\xelatexInternal}\xspace} \DeclareRobustCommand{\xetexInternal}{% \mbox{X\lower0.5ex\hbox{\kern-0.15em\reflectbox{E}}\kern-0.1em\TeX}} \newcommand{\xetex}{\xetexInternal\index{XeTeX=\string\xetexInternal}\xspace} \newcommand{\lualatex}{Lua\LaTeX\index{LuaLaTeX=Lua\string\LaTeX}\xspace} \newcommand{\italic}[1][italic]{#1\index{italic}} \newcommand{\TikZ}{\pkgname{TikZ}} \setpkgnameopts{TikZ}{pkg=pgf,fmt={Ti\noexpand\textit{k}Z}} \newcommand{\PSTricks}{\pkgname{PSTricks}} \setpkgnameopts{PSTricks}{pkg=pstricks-base} \newcommand{\rawtables}{Raw\index{Raw Font Tables} Font Tables} % Index TeXbook symbols and the CTAN repository. \newcommand{\idxTBsyms}{% \index{symbols>TeXbook=\TeX{}book}% \index{TeXbook, The=\TeX{}book, The>symbols from}% } \newcommand{\idxCTAN}{% \index{Comprehensive TeX Archive Network=\href{http://www.ctan.org/}{Comprehensive \string\TeX{} Archive Network}}% } \newcommand{\CTAN}{\href{http://www.ctan.org/}{CTAN}\idxCTAN\xspace} \newcommand{\CTANfull}{Comprehensive\idxCTAN\ \TeX\ Archive Network\xspace} \newcommand{\TeXFAQ}[1]{\url{http://www.tex.ac.uk/FAQ-#1.html}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % There are a number of symbols (e.g., \Square) that are defined by % % multiple packages. In order to typeset all the variants in this % % document, we have to give glyph a unique name. To do that, we define % % \savesymbol{XXX}, which renames a symbol from \XXX to \origXXX, and % % \restoresymbol{yyy}{XXX}, which renames \origXXX back to \XXX and % % defines a new command, \yyyXXX, which corresponds to the most recently % % loaded version of \XXX. % % % % This implementation of \savesymbol and \restoresymbol was copied from % % the savesym package, which started with symbol.tex's old definitions % % of those macros and improved upon them. However, \renamerobustsymbol % % and \ifnotsavedsym are new to this set. % % % % Save a symbol that we know is going to get redefined. \newcommand*{\savesymbol}[1]{% \expandafter\let\csname orig#1\expandafter\endcsname\csname#1\endcsname \expandafter\let\csname #1\endcsname\relax } % Restore a previously saved symbol, and rename the current one. \newcommand*{\restoresymbol}[2]{% \expandafter\global\expandafter\let\csname#1#2\expandafter\endcsname% \csname#2\endcsname \expandafter\global\expandafter\let\csname#2\expandafter\endcsname% \csname orig#2\endcsname } % Rename a robust command. \newcommand*{\renamerobustsymbol}[2]{% \expandafter\let\expandafter\origrealcommand \csname #2\space\endcsname \expandafter\global\expandafter\let\csname#1#2\endcsname=\origrealcommand } % Test if a symbol is not saved. \makeatletter \def\ifnotsavedsym@helper#1#2!{\expandafter\ifx\csname orig#2\endcsname\relax} \newcommand*{\ifnotsavedsym}[1]{% \expandafter\ifnotsavedsym@helper\string#1!% } \makeatother % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Each of the packages used by this document is loaded conditionally. % However, it might be nice to know if we have a complete set. So we % define \ifcomplete which starts true, but gets set to false if any % package is missing. \newif\ifcomplete \completetrue % For debugging purposes we define a switch that enables us to toggle % on and off the loading of packages. \newif\ifloadpackages \loadpackagestrue % \IfStyFileExists* is just like \IfFileExists, except that it appends % ".sty" to its first argument. \IfStyFileExists is the same as % \IfStyFileExists*, but it additionally adds its first argument to a % list (\missingpkgs) and marks the document as incomplete (with % \completefalse) if the .sty file doesn't exist. \IfPackageFileExists % is the same as \IfStyFileExists except that it separates the package % name from a file within the package (not necessarily a .sty file) for % which to search. \makeatletter \newcommand{\missingpkgs}{} \newcommand{\foundpkgs}{} \newcommand{\if@sty@file@exists@star}[3]{% \ifloadpackages \IfFileExists{#1.sty}{#2}{#3}% \else #3% \fi } \newcommand{\if@sty@file@exists}[3]{% \ifloadpackages \IfFileExists{#1.sty}% {#2\@cons\foundpkgs{{#1}}}% {#3\completefalse\@cons\missingpkgs{{#1}}}% \else #3\completefalse\@cons\missingpkgs{{#1}}% \fi } \newcommand{\IfStyFileExists}{% \@ifstar{\if@sty@file@exists@star}{\if@sty@file@exists}% } \newcommand{\IfPackageFileExists}[4]{% \ifloadpackages \IfFileExists{#2}% {#3\@cons\foundpkgs{{#1}}}% {#4\completefalse\@cons\missingpkgs{{#1}}}% \else #4\completefalse\@cons\missingpkgs{{#1}}% \fi } \makeatother % We get a few packages for free. \makeatletter \@cons\foundpkgs{{textcomp}} \@cons\foundpkgs{{latexsym}} \makeatother \newcommand{\TC}{\pkgname{textcomp}} \setpkgnameopts{latexsym}{link=http://www.ctan.org/pkg/latex-base} % Load etex if possible to increase the number of various TeX resources % we have available. \IfStyFileExists*{etex}{\usepackage{etex}}{} % Typeset a string in various encodings. \newcommand{\encone}[1]{{\fontencoding{T1}\selectfont#1}} \newcommand{\enctwoA}[1]{{\fontencoding{T2A}\selectfont#1}} \newcommand{\encfour}[1]{{\fontencoding{T4}\selectfont#1}} \newcommand{\encfive}[1]{{\fontencoding{T5}\selectfont#1}} \newcommand{\encgreek}[1]{{\fontencoding{LGR}\selectfont#1}} % Various punctuation marks confuse makeindex when used directly. \let\magicrbrack=] \let\magicequal=\= \DeclareRobustCommand{\magicequalname}{\texttt{\string\=}} \DeclareRobustCommand{\magicvertname}{\texttt{|}} \DeclareRobustCommand{\magicVertname}{\texttt{\string\|}} % Vertically center a text-mode symbol. \newsavebox{\tvcbox} \newcommand*{\textvcenter}[1]{% \savebox{\tvcbox}{#1}% \raisebox{0.5\dp\tvcbox}{\raisebox{-0.5\ht\tvcbox}{\usebox{\tvcbox}}}% } % Do the same work as \DeclareTextSymbol but only if the symbol is not % already declared. \let\origDeclareTextSymbol=\DeclareTextSymbol \DeclareRobustCommand{\DeclareNewTextSymbol}[3]{% \ifnotsavedsym{#1}% \origDeclareTextSymbol{#1}{#2}{#3}% \fi } % Do the same work as \DeclareTextCommand but only if the symbol is not % already declared. \let\origDeclareTextCommand=\DeclareTextCommand \DeclareRobustCommand{\DeclareNewTextCommand}[3]{% \ifnotsavedsym{#1}% \origDeclareTextCommand{#1}{#2}{#3}% \fi } % Define a helper function for \CLSL@fake@tdelim and \CLSL@fake@ddelim below. \makeatletter \def\CLSL@char@in@box#1{% \setbox0=\hbox{\char#1}% \hbox{% \vrule width \wd0 height 0pt depth 0pt% \vrule width 0pt height \ht0 depth \dp0% \smash{\box0}% }% \vspace*{-1pt}% Why is this necessary? } \makeatother % Construct a text-sized delimiter from its constituent characters. \makeatletter \DeclareRobustCommand{\CLSLfaketdelim}[3]{% \begingroup \offinterlineskip \vbox{% \halign{##\cr \CLSL@char@in@box{#1}\cr % top \CLSL@char@in@box{#2}\cr % mid \CLSL@char@in@box{#3}\cr % bot }% }% \endgroup } \makeatother % Construct a display-sized delimiter from its constituent characters. \makeatletter \newcounter{CLSL@reps@left} \DeclareRobustCommand{\CLSLfakeddelim}[5][2]{% \begingroup \offinterlineskip \vbox to 4ex{% \halign{##\cr \CLSL@char@in@box{#2}\cr % top \setcounter{CLSL@reps@left}{#1}% \gdef\CLSL@reps{} \loop \g@addto@macro\CLSL@reps{\CLSL@char@in@box{#5}\cr}% \addtocounter{CLSL@reps@left}{-1}% \ifnum\c@CLSL@reps@left>0% \repeat \CLSL@reps % rep \CLSL@char@in@box{#3}\cr % mid \gdef\CLSL@reps{} \loop \g@addto@macro\CLSL@reps{\CLSL@char@in@box{#5}\cr}% \addtocounter{CLSL@reps@left}{-1}% \ifnum\c@CLSL@reps@left>0% \repeat \CLSL@reps % rep \CLSL@char@in@box{#4}\cr % bot }% \vss }% \endgroup } \makeatother % Given a math expression, a small accent character, and a large % accent character, typeset the expression with the appropriate-sized % accent above it. \DeclareRobustCommand{\CLSLfakewidetopaccent}[6]{% \setbox0=\hbox{\ensuremath{#1}}% \setbox1=\hbox{\ensuremath{abc}}% \mbox{\itshape#1}% \ifdim\wd0<\wd1 \llap{\raisebox{#2}{\makebox[\wd0]{\usefont#6\char#3}}}% \else \llap{\raisebox{#4}{\makebox[\wd0]{\usefont#6\char#5}}}% \fi } % Load a faked version of a package. \newcommand{\fakeusepackage}[1]{% \let\origProvidesPackage=\ProvidesPackage \def\ProvidesPackage##1[##2]{\origProvidesPackage{##1}[##2]\endinput} \usepackage{#1} \let\ProvidesPackage=\origProvidesPackage \usepackage{fake#1} } % Given "\command{argument}", mark underscores in as ordinary % characters before invoking \command. \makeatletter \bgroup \gdef\CLSLcleanarg#1{% \begingroup \catcode`_=12 \CLSLclean@helper#1 } \gdef\CLSLclean@helper#1#2{\endgroup#1{#2}} \egroup \makeatother %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Redefine a few robust LaTeX commands as non-robust so they don't become % dangling pointers when saved and restored as we load packages that redefine % them. \makeatletter \renewcommand*{\rightleftharpoons}{\mathrel{\mathpalette\rlh@{}}} \renewcommand*{\angle}{{\vbox{\ialign{$\m@th\scriptstyle##$\crcr \not\mathrel{\mkern14mu}\crcr \noalign{\nointerlineskip} \mkern2.5mu\leaders\hrule \@height.34pt\hfill\mkern2.5mu\crcr}}}} \makeatother \newif\ifAMS \newcommand\AMS{\pkgname{AMS}} \setpkgnameopts{AMS}{pkg=amsfonts,fmt={\noexpand\AmS{}}} \makeatletter \IfStyFileExists{amssymb} {\AMStrue \savesymbol{angle} \savesymbol{rightleftharpoons} \savesymbol{lefthapoondown} \savesymbol{rightharpoonup} \savesymbol{iint} \savesymbol{iiint} \savesymbol{iiiint} \savesymbol{idotsint} \let\orig@ifstar=\@ifstar \usepackage{amsmath} \usepackage{amssymb} \let\@ifstar=\orig@ifstar \restoresymbol{AMS}{angle} \restoresymbol{AMS}{rightleftharpoons} \restoresymbol{AMS}{lefthapoondown} \restoresymbol{AMS}{rightharpoonup} \restoresymbol{AMS}{iint} \restoresymbol{AMS}{iiint} \restoresymbol{AMS}{iiiint} \restoresymbol{AMS}{idotsint} } { % The following was modified from amsmath.sty. \newcommand{\AmSfont}{% \usefont{OMS}{cmsy}{m}{n}} \providecommand{\AmS}{{\protect\AmSfont A\kern-.1667em\lower.5ex\hbox{M}\kern-.125emS}} } \makeatother \newif\ifST \newcommand\ST{\pkgname{stmaryrd}} \IfStyFileExists{stmaryrd} {\STtrue \savesymbol{lightning} \savesymbol{bigtriangleup} \savesymbol{bigtriangledown} \usepackage{stmaryrd} \restoresymbol{ST}{lightning} \restoresymbol{ST}{bigtriangleup} \restoresymbol{ST}{bigtriangledown} } {} \newif\ifEU \IfStyFileExists{euscript} {\EUtrue\usepackage[mathcal]{euscript} \renewcommand{\mathcal}[1]{\mbox{\usefont{U}{eus}{m}{n}##1}} } {\let\CMcal\mathcal} \setpkgnameopts{euscript}{pkg=amsfonts} \newif\ifWASY \newcommand\WASY{\pkgname{wasysym}} \IfStyFileExists{wasysym} {\WASYtrue \savesymbol{lightning} \savesymbol{Box} \savesymbol{Diamond} \savesymbol{clock} \savesymbol{euro} \usepackage{wasysym} \restoresymbol{WASY}{lightning} \restoresymbol{WASY}{Box} \restoresymbol{WASY}{Diamond} \restoresymbol{WASY}{clock} \restoresymbol{WASY}{euro} \newcommand{\wasytextint}[1]{% \textwasy{\setbox0=\hbox{\char##1}\raisebox{0.5ex}{\raisebox{0.5\dp0}{\copy0}}}} \DeclareRobustCommand{\WASYint}{% \mathchoice{\wasytextint{"77}}{\wasytextint{"72}}{}{}} \DeclareRobustCommand{\WASYiint}{% \mathchoice{\wasytextint{"78}}{\wasytextint{"73}}{}{}} \DeclareRobustCommand{\WASYiiint}{% \mathchoice{\wasytextint{"79}}{\wasytextint{"74}}{}{}} \DeclareRobustCommand{\WASYoint}{% \mathchoice{\wasytextint{"7A}}{\wasytextint{"75}}{}{}} \DeclareRobustCommand{\WASYoiint}{% \mathchoice{\wasytextint{"7B}}{\wasytextint{"76}}{}{}} } {} \newif\ifPI \newcommand\PI{\pkgname{pifont}} \setpkgnameopts{pifont}{pkg=psnfss} \IfStyFileExists{pifont} {\PItrue\usepackage{pifont}} {} % marvosym underwent a major rewrite for the 2000/05/01 version, adding % a large number of new symbols. If it looks like we have only the % older version, pretend we don't have it at all. \newif\ifMARV \newcommand\MARV{\pkgname{marvosym}} \makeatletter \IfStyFileExists*{marvosym} {\usepackage{marvosym}[2011/07/20] % New symbols added with this version \global\MARVtrue \@ifundefined{Denarius} % \Denarius is a newer symbol. {\global\MARVfalse} {} \@ifundefined{MVRightarrow} % \MVRightarrow is an even newer symbol. {\global\MARVfalse} {} \@ifundefined{MVLeftBracket} % \MVLeftBracket is a still newer symbol. {\global\MARVfalse} {} } {} \makeatother \newif\ifMAN \newcommand\MAN{\pkgname{manfnt}} \IfStyFileExists{manfnt} {\MANtrue\usepackage{manfnt}} {} \newif\ifDING \newcommand\DING{\pkgname{bbding}} \IfStyFileExists{bbding} {\DINGtrue \savesymbol{Cross} \savesymbol{Square} \usepackage{bbding} \restoresymbol{ding}{Cross} \restoresymbol{ding}{Square} } {} \newif\ifUTILD \newcommand\UTILD{\pkgname{undertilde}} \IfStyFileExists{undertilde} {\UTILDtrue\usepackage{undertilde}} {} \newif\ifIFS \newcommand\IFS{\pkgname{ifsym}} \IfStyFileExists{ifsym} {\IFStrue \savesymbol{Letter} \savesymbol{Square} \savesymbol{Cross} \savesymbol{Sun} \savesymbol{TriangleUp} \savesymbol{TriangleDown} \savesymbol{Circle} \savesymbol{Lightning} \usepackage[alpine,clock,electronic,geometry,misc,weather]{ifsym}[2000/04/18] \restoresymbol{ifs}{Letter} \restoresymbol{ifs}{Square} \restoresymbol{ifs}{Cross} \restoresymbol{ifs}{Sun} \restoresymbol{ifs}{TriangleUp} \restoresymbol{ifs}{TriangleDown} \restoresymbol{ifs}{Circle} \restoresymbol{ifs}{Lightning} \DeclareRobustCommand{\allCubes}{% \Cube{1}~% \Cube{2}~% \Cube{3}~% \Cube{4}~% \Cube{5}~% \Cube{6}% } } {} \newif\ifTIPA \newcommand\TIPA{\pkgname{tipa}} \IfStyFileExists{tipa} {\TIPAtrue\usepackage[safe]{tipa}} {} \newif\ifTIPX \newcommand\TIPX{\pkgname{tipx}} \setpkgnameopts{tipx}{pkg=tipa} \IfStyFileExists{tipx} {\TIPXtrue\usepackage{tipx}} {} \newif\ifXIPA \newcommand\XIPA{\pkgname{extraipa}} \setpkgnameopts{extraipa}{pkg=tipa} \IfStyFileExists{extraipa} {\XIPAtrue\usepackage{extraipa}} {} % We use the *-form of \IfStyFileExists, because the package is named % "wsuipa", while the .sty file is named "ipa.sty". \makeatletter \newif\ifWIPA \newcommand\WIPA{\pkgname{wsuipa}} \IfStyFileExists*{ipa} {\@cons\foundpkgs{{wsuipa}} \WIPAtrue \savesymbol{baro} \savesymbol{eth} \savesymbol{openo} \savesymbol{thorn} \usepackage{ipa} \expandafter\xdef\csname ver@wsuipa.sty\endcsname{% \csname ver@ipa.sty\endcsname} \restoresymbol{WSU}{baro} \restoresymbol{WSU}{eth} \restoresymbol{WSU}{openo} \restoresymbol{WSU}{thorn} } {\completefalse\@cons\missingpkgs{{wsuipa}}} \makeatother \newif\ifPHON \newcommand\PHON{\pkgname{phonetic}} \IfStyFileExists{phonetic} {\PHONtrue \savesymbol{esh} \savesymbol{eth} \savesymbol{hookb} \savesymbol{hookd} \savesymbol{hookh} \savesymbol{openo} \savesymbol{schwa} \savesymbol{taild} \savesymbol{thorn} \savesymbol{varg} \savesymbol{yogh} \usepackage{phonetic} \restoresymbol{PHON}{esh} \restoresymbol{PHON}{eth} \restoresymbol{PHON}{hookb} \restoresymbol{PHON}{hookd} \restoresymbol{PHON}{hookh} \restoresymbol{PHON}{openo} \restoresymbol{PHON}{schwa} \restoresymbol{PHON}{taild} \restoresymbol{PHON}{thorn} \restoresymbol{PHON}{varg} \restoresymbol{PHON}{yogh} % A few phonetic macros are fragile but need to be made robust. \DeclareRobustCommand{\PHONibar}{\ibar} \DeclareRobustCommand{\PHONrbar}{\rbar} \DeclareRobustCommand{\PHONvod}{\vod} } {} \newif\ifULSY \newcommand\ULSY{\pkgname{ulsy}} \IfStyFileExists{ulsy} {\ULSYtrue\usepackage{ulsy}} {} \newif\ifASP \newcommand\ASP{\pkgname{ar}} \IfStyFileExists{ar} {\ASPtrue\usepackage{ar}} {} \newif\ifMETRE \newcommand\METRE{\pkgname{metre}} \IfStyFileExists{metre} {\METREtrue \savesymbol{breve} \newcommand{\breve}{PLACEHOLDER FOR RENEWCOMMAND} \usepackage{metre} \restoresymbol{METRE}{breve} % \DeclareRobustCommand{\METREantidiplestar}{\antidiple*} \DeclareRobustCommand{\METREantidiple}{\antidiple} \DeclareRobustCommand{\METREdiplestar}{\diple*} \DeclareRobustCommand{\METREdiple}{\diple} \DeclareRobustCommand{\METREobelusstar}{\obelus*} \DeclareRobustCommand{\METREobelus}{\obelus} \DeclareRobustCommand{\METRErespondens}{\respondens} \DeclareRobustCommand{\METREterminusstar}{\terminus*} \DeclareRobustCommand{\METREterminus}{\terminus} % \DeclareRobustCommand{\METREAntidiplestar}{\Antidiple*} \DeclareRobustCommand{\METREAntidiple}{\Antidiple} \DeclareRobustCommand{\METREDiplestar}{\Diple*} \DeclareRobustCommand{\METREDiple}{\Diple} \DeclareRobustCommand{\METREObelusstar}{\Obelus*} \DeclareRobustCommand{\METREObelus}{\Obelus} \DeclareRobustCommand{\METRERespondens}{\Respondens} \DeclareRobustCommand{\METRETerminusstar}{\Terminus*} \DeclareRobustCommand{\METRETerminus}{\Terminus} } {} % pxfonts relies on txfonts (I think), so either package can be loaded. % Note that txfonts/pxfonts redefine every LaTeX and AMS character, % which is not what we want. As a result, we have to rely on some % serious trickery to prevent our old characters from getting redefined. \newif\ifTX \newcommand\TX{\pkgname{txfonts}} \newcommand\PX{\pkgname{pxfonts}} \newcommand\TXPX{\pkgname{txfonts}/\pkgname{pxfonts}} \makeatletter \IfStyFileExists{txfonts} {\TXtrue % Manually declare the new txfonts fonts. \DeclareSymbolFont{lettersA}{U}{txmia}{m}{it} \SetSymbolFont{lettersA}{bold}{U}{txmia}{bx}{it} \DeclareFontSubstitution{U}{txmia}{m}{it} \DeclareSymbolFont{symbolsC}{U}{txsyc}{m}{n} \SetSymbolFont{symbolsC}{bold}{U}{txsyc}{bx}{n} \DeclareFontSubstitution{U}{txsyc}{m}{n} \DeclareSymbolFont{largesymbolsA}{U}{txexa}{m}{n} \SetSymbolFont{largesymbolsA}{bold}{U}{txexa}{bx}{n} \DeclareFontSubstitution{U}{txexa}{m}{n} % Prevent txfonts from redeclaring any old fonts. \let\origDeclareMathAlphabet=\DeclareMathAlphabet \renewcommand{\DeclareMathAlphabet}[5]{} \let\origDeclareSymbolFont=\DeclareSymbolFont \renewcommand{\DeclareSymbolFont}[5]{} \let\origSetSymbolFont=\SetSymbolFont \renewcommand{\SetSymbolFont}[6]{} \let\origDeclareFontSubstitution=\DeclareFontSubstitution \renewcommand{\DeclareFontSubstitution}[4]{} % Prevent txfonts from defining any existing symbols. \let\origDeclareTextSymbol=\DeclareTextSymbol \let\DeclareTextSymbol=\DeclareNewTextSymbol % Load txfonts. \savesymbol{angle} \savesymbol{rightleftharpoons} \savesymbol{textcent} \savesymbol{textsterling} \savesymbol{L} \savesymbol{l} \savesymbol{r} \savesymbol{succapprox} \savesymbol{precapprox} \usepackage{txfonts} \restoresymbol{TX}{angle} \restoresymbol{TX}{rightleftharpoons} \restoresymbol{TX}{succapprox} \restoresymbol{TX}{precapprox} % Restore the old font commands. \global\let\DeclareTextSymbol=\origDeclareTextSymbol \global\let\DeclareSymbolFont=\origDeclareSymbolFont \global\let\SetSymbolFont=\origSetSymbolFont \global\let\DeclareFontSubstitution=\origDeclareFontSubstitution \global\let\DeclareMathAlphabet=\origDeclareMathAlphabet % Restore the default fonts. \renewcommand\rmdefault{cmr} \renewcommand\sfdefault{cmss} \renewcommand\ttdefault{cmtt} \ifAMS \DeclareMathAlphabet\mathfrak{U}{euf}{m}{n} \fi % Are \textcent, \mathcent, \mathsterling, and \r the % only symbols that get screwed up? \DeclareTextSymbol{\textcent}{TS1}{162} \renewcommand{\mathcent}{\mbox{\usefont{OT1}{txr}{m}{n}\char"A2}} \renewcommand{\mathsterling}{\mbox{\textsterling}} \newcommand{\TXmathsterling}{\mbox{\usefont{OT1}{txr}{m}{n}\char"A3}} \DeclareTextAccent{\r}{OT1}{23} } {} \makeatother % Here's a real problem child: mathabx, which also redefines virtually % every symbol provided by LaTeX2e and AMS. We have to resort to our % most devious trickery to get mathabx to load properly. \newif\ifABX \newcommand\ABX{\pkgname{mathabx}} \let\origDeclareMathSymbol=\DeclareMathSymbol \let\origDeclareMathDelimiter=\DeclareMathDelimiter \let\origDeclareMathRadical=\DeclareMathRadical \let\origDeclareMathAccent=\DeclareMathAccent \makeatletter % Redefine \DeclareMathSymbol to stick "ABX" in front of each symbol name. \renewcommand{\DeclareMathSymbol}[4]{% \let\mathabx@undefine=\@gobble % Undefining symbols causes all sorts of problems for us. \edef\newname{\expandafter\@gobble\string#1} \ifx\newname\@empty \else \edef\newname{ABX\newname} \expandafter\origDeclareMathSymbol\expandafter{% \csname\newname\endcsname}{#2}{#3}{#4}% \fi } % Do the same for \DeclareMathDelimiter. \def\DeclareMathDelimiter#1{% \edef\newname{\expandafter\@gobble\string#1} \def\eatfour##1##2##3##4{}% \def\eatfive##1##2##3##4##5{}% \ifx\newname\@empty \if\relax\noexpand#1% \def\next{\eatfive} \else \def\next{\eatfour} \fi \else \edef\newname{ABX\newname} \def\next{% \expandafter\origDeclareMathDelimiter\expandafter{% \csname\newname\endcsname}} \fi \next } % Do the same for \DeclareMathAccent. \renewcommand{\DeclareMathAccent}[4]{% \edef\newname{\expandafter\@gobble\string#1} \ifx\newname\@empty \else \edef\newname{ABX\newname} \expandafter\origDeclareMathAccent\expandafter{% \csname\newname\endcsname}{#2}{#3}{#4}% \fi } % Redefine \DeclareMathRadical to do nothing. \renewcommand{\DeclareMathRadical}[5]{} \makeatother \let\proofmode=1 \IfStyFileExists{mathabx} {\ABXtrue \savesymbol{not} \savesymbol{widering}\savesymbol{Moon} \savesymbol{notowner} \savesymbol{iint} \savesymbol{iiint} \savesymbol{oint} \savesymbol{oiint} \savesymbol{bigboxperp} \savesymbol{bigoperp} \savesymbol{boxedcirc} \savesymbol{boxeddash} \savesymbol{boxeedast} \savesymbol{boxperp} \savesymbol{boy} \savesymbol{Cap} \savesymbol{centerdot} \savesymbol{circledast} \savesymbol{circledcirc} \savesymbol{circleddash} \savesymbol{Cup} \savesymbol{curvearrowtopleft} \savesymbol{curvearrowtopleftright} \savesymbol{curvearrowtopright} \savesymbol{doteqdot} \savesymbol{geqslant} \savesymbol{gets} \savesymbol{girl} \savesymbol{Join} \savesymbol{land} \savesymbol{leqslant} \savesymbol{looparrowupleft} \savesymbol{looparrowupright} \savesymbol{lor} \savesymbol{lsemantic} \savesymbol{mayaleftdelimiter} \savesymbol{mayarightdelimiter} \savesymbol{ndivides} \savesymbol{nequiv} \savesymbol{ngeqslant} \savesymbol{ni} \savesymbol{nleqslant} \savesymbol{notni} \savesymbol{notowns} \savesymbol{notsign} \savesymbol{operp} \savesymbol{rsemantic} \savesymbol{sqCap} \savesymbol{sqCup} \savesymbol{to} \savesymbol{ulsh} \savesymbol{ursh} \savesymbol{overbrace} \savesymbol{underbrace} \savesymbol{overgroup} \savesymbol{undergroup} \savesymbol{dddot} \savesymbol{ddddot} \usepackage{mathabx} \restoresymbol{ABX}{not} \restoresymbol{ABX}{widering} \restoresymbol{ABX}{Moon} \restoresymbol{ABX}{notowner} \restoresymbol{ABX}{iint} \restoresymbol{ABX}{iiint} \restoresymbol{ABX}{oint} \restoresymbol{ABX}{oiint} \restoresymbol{ABX}{bigboxperp} \restoresymbol{ABX}{bigoperp} \restoresymbol{ABX}{boxedcirc} \restoresymbol{ABX}{boxeddash} \restoresymbol{ABX}{boxeedast} \restoresymbol{ABX}{boxperp} \restoresymbol{ABX}{boy} \restoresymbol{ABX}{Cap} \restoresymbol{ABX}{centerdot} \restoresymbol{ABX}{circledast} \restoresymbol{ABX}{circledcirc} \restoresymbol{ABX}{circleddash} \restoresymbol{ABX}{Cup} \restoresymbol{ABX}{curvearrowtopleft} \restoresymbol{ABX}{curvearrowtopleftright} \restoresymbol{ABX}{curvearrowtopright} \restoresymbol{ABX}{doteqdot} \restoresymbol{ABX}{geqslant} \restoresymbol{ABX}{gets} \restoresymbol{ABX}{girl} \restoresymbol{ABX}{Join} \restoresymbol{ABX}{land} \restoresymbol{ABX}{leqslant} \restoresymbol{ABX}{looparrowupleft} \restoresymbol{ABX}{looparrowupright} \restoresymbol{ABX}{lor} \restoresymbol{ABX}{lsemantic} \restoresymbol{ABX}{mayaleftdelimiter} \restoresymbol{ABX}{mayarightdelimiter} \restoresymbol{ABX}{ndivides} \restoresymbol{ABX}{nequiv} \restoresymbol{ABX}{ngeqslant} \restoresymbol{ABX}{ni} \restoresymbol{ABX}{nleqslant} \restoresymbol{ABX}{notni} \restoresymbol{ABX}{notowns} \restoresymbol{ABX}{notsign} \restoresymbol{ABX}{operp} \restoresymbol{ABX}{rsemantic} \restoresymbol{ABX}{sqCap} \restoresymbol{ABX}{sqCup} \restoresymbol{ABX}{to} \restoresymbol{ABX}{ulsh} \restoresymbol{ABX}{ursh} \restoresymbol{ABX}{overbrace} \restoresymbol{ABX}{underbrace} \restoresymbol{ABX}{overgroup} \restoresymbol{ABX}{undergroup} \restoresymbol{ABX}{dddot} \restoresymbol{ABX}{ddddot} } {} \let\DeclareMathAccent=\origDeclareMathAccent \let\DeclareMathRadical=\origDeclareMathRadical \let\DeclareMathDelimiter=\origDeclareMathDelimiter \let\DeclareMathSymbol=\origDeclareMathSymbol \ifABX % Define only those accents that are not defined elsewhere. \DeclareMathAccent{\widecheck} {0}{mathx}{"71} \DeclareMathAccent{\widebar} {0}{mathx}{"73} \DeclareMathAccent{\widearrow} {0}{mathx}{"74} % Redefine all let-bound symbols. \let\ABXcenterdot=\ABXsqbullet \let\ABXcircledast=\ABXoasterisk \let\ABXcircledcirc=\ABXocirc % Ensure that \ABXwidering invokes \ABXwideparen, not \wideparen. \def\ABXwidering#1{\ring{\ABXwideparen{#1}}} % Redefine commands that are used by other commands. \DeclareMathSymbol{\ABXnotsign} {3}{matha}{"7F} \DeclareMathSymbol{\ABXvarnotsign} {3}{mathb}{"7F} \DeclareMathSymbol{\ABXnotowner} {3}{matha}{"53} \makeatletter \def\ABXoverbrace{\overbrace@{\bracefill\ABXbraceld\ABXbracemd\ABXbracerd\ABXbracexd}} \def\ABXunderbrace{\underbrace@{\bracefill\ABXbracelu\ABXbracemu\ABXbraceru\ABXbracexu}} \def\ABXovergroup{\overbrace@{\bracefill\ABXbraceld{}\ABXbracerd\ABXbracexd}} \def\ABXundergroup{\underbrace@{\bracefill\ABXbracelu{}\ABXbraceru\ABXbracexu}} \makeatother % Define a command to select the mathb font. \newcommand{\mathbfont}{\usefont{U}{mathb}{m}{n}} \fi % ABX test \newif\ifFC \newcommand\FC{\pkgname{fc}} \setpkgnameopts{fclfont}{pkg=fc} \IfStyFileExists{fclfont} {\FCtrue \let\origlbrace=\{ \let\origrbrace=\} \let\origbar=\| \let\origdollar=\$ \let\origspace=\_ \let\origS=\S \let\origpounds=\pounds \input{t4enc.def} \DeclareTextAccent{\FCbar}{T4}{'277}% single universal accent \global\let\{=\origlbrace \global\let\}=\origrbrace \global\let\|=\origbar \global\let\$=\origdollar \global\let\_=\origspace \global\let\S=\origS \global\let\pounds=\origpounds \let\origtextsterling=\textsterling \gdef\textsterling{{\fontencoding{TS1}\selectfont\origtextsterling}} } {} % skak should be loaded before ascii because their \FF macros conflict. % (skak's \FF is not a symbol so it can simply be set to \relax.) \newif\ifSKAK \newcommand\SKAK{\pkgname{skak}} \IfStyFileExists{skak} {\SKAKtrue \savesymbol{comment} \usepackage{skak}[2008/10/09] \renamerobustsymbol{SKAK}{etc} \restoresymbol{SKAK}{comment} \let\FF=\relax } {} \newif\ifASCII \newcommand\ASCII{\pkgname{ascii}} \IfStyFileExists{ascii} {\ASCIItrue \savesymbol{HT} \usepackage{ascii} \restoresymbol{ascii}{HT} } {} \newif\ifARK % ark10 and dingbat fonts \newcommand\ARK{\pkgname{dingbat}} \IfStyFileExists{dingbat} {\ARKtrue \savesymbol{checkmark} \usepackage{dingbat} \restoresymbol{ARK}{checkmark} \DeclareRobustCommand{\ARKlargepencil}{\largepencil\rule{0pt}{7ex}} } {} \newif\ifSKULL \newcommand\SKULL{\pkgname{skull}} \IfStyFileExists{skull} {\SKULLtrue \let\origDeclareSymbolFont=\DeclareSymbolFont \let\origDeclareMathSymbol=\DeclareMathSymbol \def\DeclareSymbolFont##1##2##3##4##5{} \def\DeclareMathSymbol##1##2##3##4{} \usepackage{skull} \let\DeclareSymbolFont=\origDeclareSymbolFont \let\DeclareMathSymbol=\origDeclareMathSymbol \newcommand{\SKULLskull}{{\usefont{U}{skulls}{m}{n}\char'101}} } {} \newif\ifEUSYM \newcommand\EUSYM{\pkgname{eurosym}} \IfStyFileExists{eurosym} {\EUSYMtrue\usepackage{eurosym}} {} \newif\ifESV \newcommand\ESV{\pkgname{esvect}} \IfStyFileExists{esvect} {\ESVtrue \usepackage{esvect} \DeclareMathSymbol{\fldra}{\mathrel}{esvector}{'021} \DeclareMathSymbol{\fldrb}{\mathrel}{esvector}{'022} \DeclareMathSymbol{\fldrc}{\mathrel}{esvector}{'023} \DeclareMathSymbol{\fldrd}{\mathrel}{esvector}{'024} \DeclareMathSymbol{\fldre}{\mathrel}{esvector}{'025} \DeclareMathSymbol{\fldrf}{\mathrel}{esvector}{'026} \DeclareMathSymbol{\fldrg}{\mathrel}{esvector}{'027} \DeclareMathSymbol{\fldrh}{\mathrel}{esvector}{'030} } {} % yfonts re-encodes \aa and \AA as LY, so we have to re-re-encode them % as OT1. \IfStyFileExists{yfonts} {\usepackage{yfonts} \DeclareTextCommand{\aa}{OT1}{{\accent23a}} \DeclareTextCommand{\AA}{OT1}{{\accent23A}}} {} % To avoid wasting a math alphabet and preventing the bigints package % from scaling integral sizes, we reimplement the entire yhmath % package in terms of text fonts. \newif\ifYH \newcommand\YH{\pkgname{yhmath}} \makeatletter \IfStyFileExists{yhmath} {\YHtrue \def\adots{\mathinner{\mkern2mu\raise\p@\hbox{.} \mkern2mu\raise4\p@\hbox{.}\mkern1mu \raise7\p@\vbox{\kern7\p@\hbox{.}}\mkern1mu}} \newcommand{\YHwideparen}[1]{% \rlap{\raisebox{3pt}{\kern1pt\usefont{U}{yhex}{m}{n}\char"F6}}{##1}} \newcommand{\YHwidering}[1]{\overset{\smash{\lower1.333ex\hbox{$% \displaystyle\ring{}$}}}{\YHwideparen{##1}}} \newcommand{\YHwidetriangle}[1]{% \rlap{\raisebox{3pt}{\kern1pt\usefont{U}{yhex}{m}{n}\char"E9}}{##1}} \newcommand{\YHwidetilde}[1]{% \rlap{\raisebox{3pt}{\kern1pt\usefont{U}{yhex}{m}{n}\char"DD}}{##1}} \newcommand{\YHwidehat}[1]{% \rlap{\raisebox{3pt}{\kern1pt\usefont{U}{yhex}{m}{n}\char"D3}}{##1}} } {} \ifYH \DeclareFontFamily{U}{yhex}{}{} \DeclareFontShape{U}{yhex}{m}{n}{<-> sfixed * yhcmex10}{} \fi \makeatother % At the time of this writing we're completely out of math alphabets. % (Knuth shortsightedly assumed that 16 would be plenty for anyone.) % Hence, instead of loading the esint package we manually define all of % its characters as text characters. Yuck. \newif\ifES \newcommand\ES{\pkgname{esint}} \IfStyFileExists{esint} {\EStrue % Center an esint character against an ordinary integral. \newsavebox{\esbox} \newlength{\intcenterdelta} \newcommand{\esintchar}[1]{% \ifodd##1 \sbox{\esbox}{$\int$}% \else \sbox{\esbox}{$\displaystyle\int$}% \fi \setlength {\intcenterdelta}{0.5\ht\esbox}% \addtolength{\intcenterdelta}{-0.5\dp\esbox}% \sbox{\esbox}{\usefont{U}{esint}{m}{n}\char##1\relax}% \addtolength{\intcenterdelta}{-0.5\ht\esbox}% \addtolength{\intcenterdelta}{0.5\dp\esbox}% \raisebox{\intcenterdelta}{\usebox{\esbox}}% } % Manually define all of the characters we care about. \newcommand{\ESintT}{\esintchar{'001}} \newcommand{\ESintD}{\esintchar{'002}} \newcommand{\ESiintT}{\esintchar{'003}} \newcommand{\ESiintD}{\esintchar{'004}} \newcommand{\ESiiintT}{\esintchar{'005}} \newcommand{\ESiiintD}{\esintchar{'006}} \newcommand{\ESiiiintT}{\esintchar{'007}} \newcommand{\ESiiiintD}{\esintchar{'010}} \newcommand{\ESdotsintT}{\esintchar{'011}} \newcommand{\ESdotsintD}{\esintchar{'012}} \newcommand{\ESointT}{\esintchar{'013}} \newcommand{\ESointD}{\esintchar{'014}} \newcommand{\ESoiintT}{\esintchar{'015}} \newcommand{\ESoiintD}{\esintchar{'016}} \newcommand{\ESsqintT}{\esintchar{'017}} \newcommand{\ESsqintD}{\esintchar{'020}} \newcommand{\ESsqiintT}{\esintchar{'021}} \newcommand{\ESsqiintD}{\esintchar{'022}} \newcommand{\ESointctrclockwiseT}{\esintchar{'027}} \newcommand{\ESointctrclockwiseD}{\esintchar{'030}} \newcommand{\ESointclockwiseT}{\esintchar{'031}} \newcommand{\ESointclockwiseD}{\esintchar{'032}} \newcommand{\ESvarointclockwiseT}{\esintchar{'033}} \newcommand{\ESvarointclockwiseD}{\esintchar{'034}} \newcommand{\ESvarointctrclockwiseT}{\esintchar{'035}} \newcommand{\ESvarointctrclockwiseD}{\esintchar{'036}} \newcommand{\ESfintT}{\esintchar{'037}} \newcommand{\ESfintD}{\esintchar{'040}} \newcommand{\ESvaroiintT}{\esintchar{'041}} \newcommand{\ESvaroiintD}{\esintchar{'042}} \newcommand{\ESlandupintT}{\esintchar{'043}} \newcommand{\ESlandupintD}{\esintchar{'044}} \newcommand{\ESlanddownintT}{\esintchar{'045}} \newcommand{\ESlanddownintD}{\esintchar{'046}} } {} \newif\ifMDOTS \newcommand\MDOTS{\pkgname{mathdots}} \IfStyFileExists{mathdots} {\MDOTStrue \savesymbol{ddots} \savesymbol{vdots} \savesymbol{iddots} \savesymbol{dddot} \savesymbol{ddddot} \usepackage{mathdots} \restoresymbol{MDOTS}{ddots} \restoresymbol{MDOTS}{vdots} \restoresymbol{MDOTS}{iddots} \restoresymbol{MDOTS}{dddot} \restoresymbol{MDOTS}{ddddot} } {} \newif\ifTRSYM \newcommand\TRSYM{\pkgname{trsym}} \IfStyFileExists{trsym} {% We're painfully low on math alphabets so we define trsym's symbols in % text mode. \TRSYMtrue \newcommand{\transfsymbol}[1]{{\usefont{U}{trsy}{m}{n}##1}} \let\origDeclareSymbolFont=\DeclareSymbolFont \let\origDeclareMathSymbol=\DeclareMathSymbol \renewcommand{\DeclareSymbolFont}[5]{} \renewcommand{\DeclareMathSymbol}[4]{\gdef##1{\transfsymbol{\char##4}}} \usepackage{trsym} \let\DeclareSymbolFont=\origDeclareSymbolFont \let\DeclareMathSymbol=\origDeclareMathSymbol } {} % We use the *-form of \IfStyFileExists, because the package is named % "universa", while the .sty file is named "uni.sty". \makeatletter \newif\ifUNI \newcommand\UNI{\pkgname{universa}} \IfStyFileExists*{uni} {\@cons\foundpkgs{{universa}} \UNItrue \usepackage{uni} \expandafter\xdef\csname ver@universa.sty\endcsname{% \csname ver@uni.sty\endcsname} % Redefine all of uni's non-textual symbols to use the Universal font. \renewcommand{\bausquare}{{\usefont{OT1}{uni}{m}{n}\char"00}} \renewcommand{\baucircle}{{\usefont{OT1}{uni}{m}{n}\char"01}} \renewcommand{\bautriangle}{{\usefont{OT1}{uni}{m}{n}\char"02}} \renewcommand{\bauhead}{{\usefont{OT1}{uni}{m}{n}\char"03}} \renewcommand{\bauforms}{{\usefont{OT1}{uni}{m}{n}\char"04}} } {\completefalse\@cons\missingpkgs{{universa}}} \makeatother \newif\ifUPGR \newcommand\UPGR{\pkgname{upgreek}} \IfStyFileExists{upgreek} {% We're painfully low on math alphabets so we define upgreek's symbols % in text mode. \UPGRtrue \let\origDeclareSymbolFont=\DeclareSymbolFont \let\origDeclareMathSymbol=\DeclareMathSymbol \let\origSetSymbolFont=\SetSymbolFont \renewcommand{\DeclareSymbolFont}[5]{} \renewcommand{\DeclareMathSymbol}[4]{% \newcommand{##1}{{\usefont{U}{eur}{m}{n}\char##4}}% } \renewcommand{\SetSymbolFont}[6]{} \usepackage[Euler]{upgreek} \DeclareFontFamily{U}{eur}{\skewchar\font'177} \DeclareFontShape{U}{eur}{m}{n}{% <-6> eurm5 <6-8> eurm7 <8-> eurm10}{} \let\DeclareSymbolFont=\origDeclareSymbolFont \let\DeclareMathSymbol=\origDeclareMathSymbol \let\SetSymbolFont=\origSetSymbolFont } {} % overrightarrow depends upon various macros that are defined by AMS. \newif\ifORA \newcommand\ORA{\pkgname{overrightarrow}} \makeatletter \ifAMS \IfStyFileExists{overrightarrow} {\ORAtrue \savesymbol{Rightarrowfill@} \usepackage{overrightarrow} \restoresymbol{ORA}{Rightarrowfill@} \renewcommand{\Overrightarrow}{\mathpalette{\overarrow@\ORARightarrowfill@}} } {} \fi % AMS test \makeatother \newif\ifCHEMA \newcommand\CHEMA{\pkgname{chemarr}} \IfStyFileExists{chemarr} {\CHEMAtrue \let\origRequirePackage=\RequirePackage \renewcommand{\RequirePackage}[1]{} \usepackage{chemarr} \let\RequirePackage=\origRequirePackage } {} \newif\ifCHEMB \newcommand\CHEMB{\pkgname{chemarrow}} \IfStyFileExists{chemarrow} {\CHEMBtrue\usepackage{chemarrow}} {} % nath is another of those "problem packages" that redefine just about % everything. To make nath work in this document we need to explicitly % define only those symbols that we actually need. \newif\ifNATH \newcommand\NATH{\pkgname{nath}} \makeatletter \IfStyFileExists{nath} {\NATHtrue \def\vin{\mathrel{\hbox{\hglue .1ex \vrule \@height .06ex \@width 1ex \vrule \@height 1.33ex \@width .06ex \hglue .4ex}}} \def\niv{\mathrel{\hbox{\hglue .2ex \vrule \@height 1.33ex \@width .06ex \vrule \@height .06ex \@width 1ex \hglue .5ex}}} % The following was derived from nath's \extend@delim macro. \newcommand*{\nathrep}[2]{% \setbox0\hbox{$\displaystyle##2$}% \count@=0 \loop\ifnum\count@<##1 ##2% \hskip -.75\wd0 \hskip .25ex% \advance\count@ by 1% \repeat } \newcommand*{\nathdouble}[1]{\nathrep{2}{##1}} \newcommand*{\nathtriple}[1]{\nathrep{3}{##1}} } {} \makeatother \newif\ifTRF \newcommand\TRF{\pkgname{trfsigns}} \IfStyFileExists{trfsigns} {\TRFtrue\usepackage{trfsigns}} {} \newif\ifMTOOLS \newcommand\MTOOLS{\pkgname{mathtools}} \IfStyFileExists{mathtools} {\MTOOLStrue \savesymbol{xleftrightarrow} \savesymbol{xLeftarrow} \savesymbol{xRightarrow} \savesymbol{xLeftrightarrow} \savesymbol{xrightharpoondown} \savesymbol{xrightharpoonup} \savesymbol{xleftharpoondown} \savesymbol{xleftharpoonup} \savesymbol{xleftrightharpoons} \savesymbol{xrightleftharpoons} \savesymbol{xhookleftarrow} \savesymbol{xhookrightarrow} \savesymbol{xmapsto} \savesymbol{underbracket} \savesymbol{overbracket} \savesymbol{lparen} \savesymbol{rparen} \savesymbol{dblcolon} \savesymbol{coloneqq} \savesymbol{Coloneqq} \savesymbol{coloneq} \savesymbol{Coloneq} \savesymbol{eqqcolon} \savesymbol{Eqqcolon} \savesymbol{eqcolon} \savesymbol{Eqcolon} \savesymbol{colonapprox} \savesymbol{Colonapprox} \savesymbol{colonsim} \savesymbol{Colonsim} \savesymbol{overbrace} \savesymbol{underbrace} % The mathtools package delays the definitions of some of its symbols % to the \begin{document}. Here we paste in the problematically % delayed definitions so \savesymbol and \restoresymbol behave as % expected. \usepackage[donotfixamsmathbugs]{mathtools} \providecommand*\dblcolon{\vcentcolon\mathrel{\mkern-.9mu}\vcentcolon} \providecommand*\coloneqq{\vcentcolon\mathrel{\mkern-1.2mu}=} \providecommand*\Coloneqq{\dblcolon\mathrel{\mkern-1.2mu}=} \providecommand*\coloneq{\vcentcolon\mathrel{\mkern-1.2mu}\mathrel{-}} \providecommand*\Coloneq{\dblcolon\mathrel{\mkern-1.2mu}\mathrel{-}} \providecommand*\eqqcolon{=\mathrel{\mkern-1.2mu}\vcentcolon} \providecommand*\Eqqcolon{=\mathrel{\mkern-1.2mu}\dblcolon} \providecommand*\eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\vcentcolon} \providecommand*\Eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\dblcolon} \providecommand*\colonapprox{\vcentcolon\mathrel{\mkern-1.2mu}\approx} \providecommand*\Colonapprox{\dblcolon\mathrel{\mkern-1.2mu}\approx} \providecommand*\colonsim{\vcentcolon\mathrel{\mkern-1.2mu}\sim} \providecommand*\Colonsim{\dblcolon\mathrel{\mkern-1.2mu}\sim} \restoresymbol{MTOOLS}{xleftrightarrow} \restoresymbol{MTOOLS}{xLeftarrow} \restoresymbol{MTOOLS}{xRightarrow} \restoresymbol{MTOOLS}{xLeftrightarrow} \restoresymbol{MTOOLS}{xrightharpoondown} \restoresymbol{MTOOLS}{xrightharpoonup} \restoresymbol{MTOOLS}{xleftharpoondown} \restoresymbol{MTOOLS}{xleftharpoonup} \restoresymbol{MTOOLS}{xleftrightharpoons} \restoresymbol{MTOOLS}{xrightleftharpoons} \restoresymbol{MTOOLS}{xhookleftarrow} \restoresymbol{MTOOLS}{xhookrightarrow} \restoresymbol{MTOOLS}{xmapsto} \restoresymbol{MTOOLS}{underbracket} \restoresymbol{MTOOLS}{overbracket} \restoresymbol{MTOOLS}{lparen} \restoresymbol{MTOOLS}{rparen} \restoresymbol{MTOOLS}{dblcolon} \restoresymbol{MTOOLS}{coloneqq} \restoresymbol{MTOOLS}{Coloneqq} \restoresymbol{MTOOLS}{coloneq} \restoresymbol{MTOOLS}{Coloneq} \restoresymbol{MTOOLS}{eqqcolon} \restoresymbol{MTOOLS}{Eqqcolon} \restoresymbol{MTOOLS}{eqcolon} \restoresymbol{MTOOLS}{Eqcolon} \restoresymbol{MTOOLS}{colonapprox} \restoresymbol{MTOOLS}{Colonapprox} \restoresymbol{MTOOLS}{colonsim} \restoresymbol{MTOOLS}{Colonsim} \restoresymbol{MTOOLS}{overbrace} \restoresymbol{MTOOLS}{underbrace} % Some of the above are defined in terms of \dblcolon. At the time % of this writing it doesn't seem like any other package uses the % name \dblcolon so it should be safe to retain its mathtools % definition. \let\dblcolon=\MTOOLSdblcolon } {} % We don't actually load the following as their symbols are all % implemented in terms of existing symbols and we need to save math % alphabets. \newcommand\MC{\pkgname{mathcomp}} \newcommand\GSYMB{\pkgname{gensymb}} \newif\ifPHAI \newcommand\PHAI{\pkgname{phaistos}} \IfStyFileExists{phaistos} {\PHAItrue\usepackage{phaistos}} {} % The latest version of arcs, dated 2004/05/09, doesn't work with the % latest version of relsize, dated 2013/03/29. We therefore load a % version that was patched according to Michael Sharpe's suggestion % (cf. http://tug.org/pipermail/xetex/2013-August/024674.html). \newif\ifARCS \newcommand\ARCS{\pkgname{arcs}} \IfStyFileExists{arcs} {\ARCStrue \fakeusepackage{arcs} \def\RSpercentTolerance{5} % Prevent \overarc and \underarc from hanging. } {} % If we have t5enc.def, use it and its prerequisite definitions directly % instead of loading vietnam.sty or dblaccnt.sty, as these affect other % things in the document. \newif\ifVIET \newcommand\VIET{\pkgname{vntex}} \setpkgnameopts{vietnam}{pkg=vntex} \makeatletter \IfStyFileExists{vietnam} {\VIETtrue\input{t5enc.def}} {} \makeatother \newif\ifPHONFC \newcommand\PHONFC{\pkgname{t4phonet}} \setpkgnameopts{t4phonet}{pkg=fc} \makeatletter \IfStyFileExists{t4phonet} {\PHONFCtrue \let\origDeclareTextSymbol=\DeclareTextSymbol \let\origDeclareTextAccent=\DeclareTextAccent \renewcommand{\DeclareTextSymbol}[3]{% \edef\PHONFCsym{\expandafter\@gobble\string##1}% \expandafter\origDeclareTextSymbol\expandafter{% \csname PHONFC\PHONFCsym\endcsname}{##2}{##3}% } \renewcommand{\DeclareTextAccent}[3]{% \edef\PHONFCsym{\expandafter\@gobble\string##1}% \expandafter\origDeclareTextAccent\expandafter{% \csname PHONFC\PHONFCsym\endcsname}{##2}{##3}% } \usepackage{t4phonet} \let\DeclareTextSymbol=\origDeclareTextSymbol \let\DeclareTextAccent=\origDeclareTextAccent } {} \makeatother \newif\ifHOPO \newcommand\HOPO{\pkgname{holtpolt}} \IfStyFileExists{holtpolt} {\HOPOtrue\usepackage{holtpolt}} {} \newif\ifSMTR \newcommand\SMTR{\pkgname{semtrans}} \IfStyFileExists{semtrans} {\SMTRtrue % semtrans's use of DeclareMathSymbol screws up \lhook and \rhook. \let\origDeclareMathSymbol=\DeclareMathSymbol \renewcommand{\DeclareMathSymbol}[4]{} \savesymbol{U} \savesymbol{D} \savesymbol{T} \usepackage{semtrans} \restoresymbol{smtr}{U} \restoresymbol{smtr}{D} \restoresymbol{smtr}{T} \let\DeclareMathSymbol=\origDeclareMathSymbol } {} \newif\ifDICT \newcommand\DICT{\pkgname{dictsym}} \IfStyFileExists{dictsym} {\DICTtrue\usepackage{dictsym}} {} \newif\ifEXTAR \newcommand\EXTAR{\pkgname{extarrows}} \IfStyFileExists{extarrows} {\EXTARtrue \savesymbol{xLeftrightarrow} \savesymbol{xleftrightarrow} \usepackage{extarrows} \restoresymbol{EXTAR}{xLeftrightarrow} \restoresymbol{EXTAR}{xleftrightarrow} } {} \newif\ifPROTO \newcommand\PROTO{\pkgname{protosem}} \IfStyFileExists{protosem} {\PROTOtrue\usepackage{protosem}} {} \newif\ifHARM \newcommand\HARM{\pkgname{harmony}} \IfStyFileExists{harmony} {\HARMtrue \let\orignewcommand=\newcommand \let\newcommand=\DeclareRobustCommand \savesymbol{HH} \usepackage{harmony} \restoresymbol{harm}{HH} \let\newcommand=\orignewcommand } {} \newif\ifHIER \newcommand\HIER{\pkgname{hieroglf}} \IfStyFileExists{hieroglf} {\HIERtrue \savesymbol{HF} \usepackage{hieroglf} \restoresymbol{HIER}{HF} } {} \newif\ifCCLIC \newcommand\CCLIC{\pkgname{cclicenses}} \IfStyFileExists{cclicenses} {\CCLICtrue \usepackage{cclicenses} % cclicenses doesn't get along with textcomp's remapping of % \textcircled to the TS1 font encoding. Mapping it back doesn't % _seem_ to cause any problems. \DeclareTextAccentDefault{\textcircled}{OMS} } {} % The mathdesign package primarily redefines all of the existing % mathematical symbols and is therefore a pain to load. Hence, we just % check if it exists and then manually define all of the symbols we care % about (i.e., those offered only by mathdesign). \newif\ifMDES \newcommand\MDES{\pkgname{mathdesign}} \IfStyFileExists{mathdesign} {\MDEStrue % Symbols from mdputrma \DeclareFontEncoding{MDA}{}{} \DeclareFontFamily{MDA}{mdput}{} \DeclareFontShape{MDA}{mdput}{m}{n}{<-> mdputrma}{} \newcommand*{\textMDESa}[1]{{\usefont{MDA}{mdput}{m}{n}##1}} \DeclareRobustCommand{\MDESudtimes}{\textMDESa{\char"5D}} \DeclareRobustCommand{\MDESutimes}{\textMDESa{\char"5E}} \DeclareRobustCommand{\MDESdtimes}{\textMDESa{\char"5F}} \DeclareRobustCommand{\MDESsmallin}{\textMDESa{\char"0}} \DeclareRobustCommand{\MDESsmallowns}{\textMDESa{\char"1}} \DeclareRobustCommand{\MDESnotsmallin}{\textMDESa{\char"2}} \DeclareRobustCommand{\MDESnotsmallowns}{\textMDESa{\char"3}} \DeclareRobustCommand{\MDESrightangle}{\textMDESa{\char"4}} % Symbols from mdputrmb \DeclareFontEncoding{MDB}{}{} \DeclareFontFamily{MDB}{mdput}{} \DeclareFontShape{MDB}{mdput}{m}{n}{<-> mdputrmb}{} \newcommand*{\textMDESb}[1]{{\usefont{MDB}{mdput}{m}{n}##1}} \newcommand*{\MDESintsm}[1]{\raisebox{2ex}{\textMDESb{\char##1}}} \newcommand*{\MDESint}[1]{\raisebox{3ex}{\textMDESb{\char##1}}} \DeclareRobustCommand{\MDESintclockwisesm}{\MDESintsm{"80}} \DeclareRobustCommand{\MDESintclockwise}{\MDESint{"81}} \DeclareRobustCommand{\MDESointctrclockwisesm}{\MDESintsm{"82}} \DeclareRobustCommand{\MDESointctrclockwise}{\MDESint{"83}} \DeclareRobustCommand{\MDESointclockwisesm}{\MDESintsm{"84}} \DeclareRobustCommand{\MDESointclockwise}{\MDESint{"85}} \DeclareRobustCommand{\MDESoiintsm}{\MDESintsm{"86}} \DeclareRobustCommand{\MDESoiint}{\MDESint{"87}} \DeclareRobustCommand{\MDESoiiintsm}{\MDESintsm{"88}} \DeclareRobustCommand{\MDESoiiint}{\MDESint{"89}} % Symbols from mdputr7y \DeclareFontFamily{OMS}{mdput}{} \DeclareFontShape{OMS}{mdput}{m}{n}{<-> mdputr7y}{} \newcommand*{\textMDESy}[1]{{\usefont{OMS}{mdput}{m}{n}##1}} \DeclareRobustCommand{\MDESin}{\textMDESy{\char"32}} \DeclareRobustCommand{\MDESowns}{\textMDESy{\char"33}} \DeclareRobustCommand{\MDESnotin}{\textMDESy{\char"36}\textMDESy{\char"32}} % Symbols from mdputr7v \DeclareFontFamily{OMX}{mdput}{} \DeclareFontShape{OMX}{mdput}{m}{n}{<-> mdputr7v}{} \DeclareFontFamily{OMX}{mdbch}{} \DeclareFontShape{OMX}{mdbch}{m}{n}{<-> mdbchr7v}{} \DeclareFontFamily{OMX}{mdugm}{} \DeclareFontShape{OMX}{mdugm}{m}{n}{<-> mdugmr7v}{} \newcommand*{\textMDESv}[1]{{\usefont{OMX}{mdput}{m}{n}##1}} \newbox\MDESwavebox \DeclareRobustCommand{\MDESleftwavelet}{\textMDESv{\char"D0}} \DeclareRobustCommand{\MDESleftwave}{% \setbox\MDESwavebox=\hbox{\textMDESv{\char"D0}} \raisebox{-1.5\dp\MDESwavebox}{\vbox to 4\dp\MDESwavebox{\cleaders\copy\MDESwavebox\vfill}}} \DeclareRobustCommand{\MDESleftevawlet}{\textMDESv{\char"D1}} \DeclareRobustCommand{\MDESleftevaw}{% \setbox\MDESwavebox=\hbox{\textMDESv{\char"D1}} \raisebox{-1.5\dp\MDESwavebox}{\vbox to 4\dp\MDESwavebox{\cleaders\copy\MDESwavebox\vfill}}} % Symbols from mdputr8c \DeclareRobustCommand{\MDEStexteuro}{{\usefont{TS1}{mdput}{m}{n}\char"BF}} } {} % We care only about the "extra" symbols in arevmath. Hence, to save on % math alphabets we load a faked version of the package that defines all % the symbols as text characters. \newif\ifAREV \newcommand\AREV{\pkgname{arev}} \IfStyFileExists{arev} {\AREVtrue\fakeusepackage{arevmath}} {} % Aaarrrggghhh! MnSymbol conflicts with pretty much every mathematical % symbol and, furthermore, defines most math alphabets than we can % handle. The situation has gotten so bad that we replace MnSymbol.sty % with a generated, "faked" version that uses exclusively text fonts % and renames all symbols to avoid conflicts. \newif\ifMNS \newcommand\MNS{\pkgname{MnSymbol}} \setpkgnameopts{MnSymbol}{pkg=mnsymbol} \IfStyFileExists{MnSymbol} {\MNStrue\fakeusepackage{MnSymbol}} {} % fdsymbol defines pretty much the same set of symbols as MnSymbol -- % and uses just as many math alphabets. Hence, we apply the same % trick as above. \newif\ifFDSYM \newcommand\FDSYM{\pkgname{fdsymbol}} \IfStyFileExists{fdsymbol} {\FDSYMtrue\fakeusepackage{fdsymbol}} {} % boisik defines pretty much the same set of symbols as MnSymbol -- % and uses just as many math alphabets. Hence, we apply the same % trick as above. \newif\ifBSK \newcommand\BSK{\pkgname{boisik}} \IfStyFileExists{boisik} {\BSKtrue\fakeusepackage{boisik}} {} % Manually define every symbol in cmll so we don't have to use any more % math alphabets. \newif\ifCMLL \newcommand\CMLL{\pkgname{cmll}} \IfStyFileExists{cmll} {\CMLLtrue \newcommand*{\textCMLL}[1]{{\usefont{U}{cmllr}{m}{n}##1}} \DeclareRobustCommand{\CMLLparr}{\textCMLL{\char0}} \DeclareRobustCommand{\CMLLshpos}{\textCMLL{\char1}} \DeclareRobustCommand{\CMLLshneg}{\textCMLL{\char2}} \DeclareRobustCommand{\CMLLshift}{\textCMLL{\char3}} \DeclareRobustCommand{\CMLLcoh}{\textCMLL{\char4}} \DeclareRobustCommand{\CMLLscoh}{\textCMLL{\char5}} \DeclareRobustCommand{\CMLLincoh}{\textCMLL{\char6}} \DeclareRobustCommand{\CMLLsincoh}{\textCMLL{\char7}} \DeclareRobustCommand{\CMLLbigwith}{\raisebox{2ex}{\textCMLL{\char8}}} \DeclareRobustCommand{\CMLLbigparr}{\raisebox{2ex}{\textCMLL{\char10}}} \DeclareRobustCommand{\CMLLmultimapboth}{\textCMLL{\char12}} \DeclareRobustCommand{\CMLLBot}{\textCMLL{\char13}} \let\CMLLPerp=\CMLLBot \DeclareRobustCommand{\CMLLsimbot}{\textCMLL{\char14}} \let\CMLLsimperp=\CMLLsimbot } {} \newif\ifXPFEIL \newcommand\XPFEIL{\pkgname{extpfeil}} \IfStyFileExists{extpfeil} {\XPFEILtrue % extpfeil tries to do a \RequirePackage of stmaryrd with % conflicting options from what we used to load stmaryd. We % therefore temporarily make \RequirePackage a no-op to prevent LaTeX % from complaining. \let\origRequirePackage=\RequirePackage \renewcommand*{\RequirePackage}[2][]{} \savesymbol{xlongequal} \savesymbol{xmapsto} \usepackage{extpfeil} \restoresymbol{XPFEIL}{xlongequal} \restoresymbol{XPFEIL}{xmapsto} \let\RequirePackage=\origRequirePackage } {} \newif\ifKEYS \newcommand\KEYS{\pkgname{keystroke}} \IfStyFileExists{keystroke} {\KEYStrue \usepackage{keystroke} % \Tab and \BSpace's use of \reflectbox confuses our indexing code. \DeclareRobustCommand{\keysTab}{\Tab} \DeclareRobustCommand{\keysBSpace}{\BSpace} } {} % We have no math alphabets left so we trick fge.sty into defining all of % its characters in text mode. \newif\ifFGE \newcommand\FGE{\pkgname{fge}} \makeatletter \IfStyFileExists{fge} {\FGEtrue \let\origDeclareSymbolFont=\DeclareSymbolFont \let\origDeclareMathSymbol=\DeclareMathSymbol \renewcommand{\DeclareSymbolFont}[5]{} \renewcommand{\DeclareMathSymbol}[4]{% \newcommand{##1}{{\usefont{U}{##3}{m}{n}\char##4}}% } \usepackage{fge} \newcommand*{\spirituslenisAB}[2]{% \leavevmode \setbox0=\hbox{##2}% \@tempdima=\ht0 \@tempdimb=\wd0 \box0\llap{% \raisebox{\@tempdima}{% \makebox[\@tempdimb]{\usefont{U}{fgerm}{m}{n}\char##1}% }% }% } \DeclareRobustCommand{\spirituslenisA}[1]{\spirituslenisAB{"15}{##1}} \DeclareRobustCommand{\spirituslenisB}[1]{\spirituslenisAB{"16}{##1}} \let\spirituslenis=\spirituslenisA \let\DeclareSymbolFont=\origDeclareSymbolFont \let\DeclareMathSymbol=\origDeclareMathSymbol } {} \makeatother \newif\ifTURN \newcommand\TURN{\pkgname{turnstile}} \IfStyFileExists{turnstile} {\TURNtrue\usepackage{turnstile}} {} \newif\ifSIMP \newcommand\SIMP{\pkgname{simpsons}} \IfStyFileExists{simpsons} {\SIMPtrue \usepackage{simpsons} \let\origSimpson=\Simpson \DeclareRobustCommand{\Simpson}{\origSimpson} } {} \newif\ifEDICE \newcommand\EDICE{\pkgname{epsdice}} \IfStyFileExists{epsdice} {\EDICEtrue \usepackage{epsdice} \let\origepsdice=\epsdice \DeclareRobustCommand{\epsdice}[1]{\origepsdice{##1}} \DeclareRobustCommand{\allepsdice}{% \epsdice{1}% \epsdice{2}% \epsdice{3}% \epsdice{4}% \epsdice{5}% \epsdice{6}% } } {} % feyn provides yet another math font for which we have no room. % Fortunately, it's relatively easy to define all of its symbols in % terms of a text font. \newif\ifFEYN \newcommand\FEYN{\pkgname{feyn}} \IfStyFileExists{feyn} {\FEYNtrue \let\origProvidesPackage=\ProvidesPackage \def\ProvidesPackage##1[##2]{\origProvidesPackage{##1}[##2]\endinput} \savesymbol{filename} \usepackage{feyn} \restoresymbol{FEYN}{filename} \let\ProvidesPackage=\origProvidesPackage \DeclareFontFamily{OMS}{textfeyn}{\skewchar\font'000} \DeclareFontShape{OMS}{textfeyn}{m}{n}{% <-10.5>feyntext10% <10.5-11.5>feyntext11% <11.5->feyntext12% }{} \DeclareRobustCommand{\feyn}[1]{{\usefont{OMS}{textfeyn}{m}{n}##1}} \DeclareRobustCommand{\wfermion}{\feyn{\char"64}} \DeclareRobustCommand{\hfermion}{\feyn{\char"6B}} \DeclareRobustCommand{\shfermion}{\feyn{\char"6C}} \DeclareRobustCommand{\whfermion}{\feyn{\char"6D}} \DeclareRobustCommand{\gvcropped}{\feyn{\char"07}} \DeclareRobustCommand{\bigbosonloop}{\feyn{\char"7B}} \DeclareRobustCommand{\smallbosonloop}{\feyn{\char"7C}} \DeclareRobustCommand{\bigbosonloopA}{\feyn{\char"5B}} \DeclareRobustCommand{\smallbosonloopA}{\feyn{\char"5C}} \DeclareRobustCommand{\bigbosonloopV}{\feyn{\char"1B}} \DeclareRobustCommand{\smallbosonloopV}{\feyn{\char"1C}} } {} \newif\ifSTAVE \newcommand\STAVE{\pkgname{staves}} \IfStyFileExists{staves} {\STAVEtrue\usepackage{staves}} {} \newif\ifIGO \newcommand\IGO{\pkgname{igo}} \IfStyFileExists{igo} {\savesymbol{black} \savesymbol{white} \savesymbol{repeat} % Don't let igo redefine all of the font-size commands. \savesymbol{scriptsize}\newcommand{\scriptsize}{} \savesymbol{tiny}\newcommand{\tiny}{} \savesymbol{large}\newcommand{\large}{} \savesymbol{Large}\newcommand{\Large}{} \savesymbol{LARGE}\newcommand{\LARGE}{} \savesymbol{huge}\newcommand{\huge}{} \savesymbol{Huge}\newcommand{\Huge}{} \IGOtrue\usepackage{igo} \restoresymbol{IGO}{black} \restoresymbol{IGO}{white} \restoresymbol{IGO}{repeat} \restoresymbol{IGO}{tiny} \restoresymbol{IGO}{large} \restoresymbol{IGO}{Large} \restoresymbol{IGO}{LARGE} \restoresymbol{IGO}{huge} \restoresymbol{IGO}{Huge} % Define a version of \whitestone and \blackstone that avoid % bracketed arguments. \DeclareRobustCommand{\igowhitestone}[1]{\whitestone[##1]} \DeclareRobustCommand{\igoblackstone}[1]{\blackstone[##1]} } {} \newif\ifCEQ \newcommand\CEQ{\pkgname{colonequals}} \IfStyFileExists{colonequals} {\savesymbol{colonapprox} \savesymbol{colonsim} \CEQtrue \usepackage{colonequals} \restoresymbol{CEQ}{colonapprox} \restoresymbol{CEQ}{colonsim} } {} % No point wasting a math alphabet on shuffle. \newif\ifSHUF \newcommand\SHUF{\pkgname{shuffle}} \IfStyFileExists{shuffle} {\let\origDeclareSymbolFont=\DeclareSymbolFont \let\origDeclareMathSymbol=\DeclareMathSymbol \renewcommand{\DeclareSymbolFont}[5]{} \renewcommand{\DeclareMathSymbol}[4]{% \DeclareRobustCommand{##1}{{\usefont{U}{shuffle}{m}{n}\char##4\relax}} } \SHUFtrue \usepackage{shuffle} \let\DeclareSymbolFont=\origDeclareSymbolFont \let\DeclareMathSymbol=\origDeclareMathSymbol } {} % Fourier defines a lot of math symbols, but we care about only a few of % them. Hence, we load only the fourier-orns package and manually % define everything else as text-mode symbols. \newif\ifFOUR \newcommand\FOUR{\pkgname{fourier}} \IfStyFileExists{fourier} {\FOURtrue \usepackage{fourier-orns} % Define single-glyph symbols. \DeclareFontEncoding{FMS}{}{} \DeclareFontSubstitution{FMS}{futm}{m}{n} \DeclareFontEncoding{FML}{}{} \DeclareFontSubstitution{FML}{futmi}{m}{it} \newcommand{\fourierdef}[6]{% \DeclareRobustCommand{##1}{{\usefont{##2}{##3}{##4}{##5}\char##6}}} \fourierdef{\parallelslant}{FMS}{futm}{m}{n}{134} \fourierdef{\nparallelslant}{FMS}{futm}{m}{n}{143} \fourierdef{\FOURrho}{FML}{futmi}{m}{it}{26} \fourierdef{\FOURvarrho}{FML}{futmi}{m}{it}{37} \fourierdef{\varvarrho}{FML}{futmi}{m}{it}{129} \fourierdef{\FOURpi}{FML}{futmi}{m}{it}{25} \fourierdef{\FOURvarpi}{FML}{futmi}{m}{it}{36} \fourierdef{\varvarpi}{FML}{futmi}{m}{it}{131} \fourierdef{\FOURpartial}{FML}{futmi}{m}{it}{64} \fourierdef{\varpartialdiff}{FML}{futmi}{m}{it}{130} \fourierdef{\FOURtexteuro}{TS1}{futx}{m}{n}{191} % Fake a math accent with text-mode commands. \DeclareRobustCommand{\FOURfakewidetopaccent}[5]{% \setbox0=\hbox{\ensuremath{##1}}% \setbox1=\hbox{\ensuremath{abc}}% \leavevmode \ifdim\wd0<\wd1 \kern1pt \rlap{\raisebox{##2}{\makebox[\wd0]{\usefont{FMX}{futm}{m}{n}\char##3}}}% \kern-0.1em \box0 \else \rlap{\raisebox{##4}{\makebox[\wd0]{\usefont{FMX}{futm}{m}{n}\char##5}}}% \box0 \fi } % Manually define Fourier's extensible accents. Note that we don't % bother trying to use Fourier's \mathring to construct the % \FOURwidering symbol. \DeclareFontEncoding{FMX}{}{} \DeclareFontSubstitution{FMX}{futm}{m}{n} \DeclareRobustCommand{\FOURwidearc}[1]{% \FOURfakewidetopaccent{##1}{0ex}{216}{0.5ex}{217}} \DeclareRobustCommand{\FOURwideOarc}[1]{% \FOURfakewidetopaccent{##1}{0ex}{228}{0.5ex}{229}} \DeclareRobustCommand{\FOURwideparen}[1]{% \FOURfakewidetopaccent{##1}{0ex}{148}{0.5ex}{150}} \DeclareRobustCommand{\FOURwidering}[1]{\overset{\smash{\vbox to .2ex{% \hbox{$\mathring{}$}}}}{\FOURwideparen{##1}}} % Manually define Fourier's variable-sized delimiters. \newcommand{\fouriercdef}[6]{% \DeclareRobustCommand{##1}{% \textvcenter{\usefont{##2}{##3}{##4}{##5}\char##6}}} \fouriercdef{\FOURtllbracket}{FMX}{futm}{m}{n}{133} \fouriercdef{\FOURdllbracket}{FMX}{futm}{m}{n}{139} \fouriercdef{\FOURtrrbracket}{FMX}{futm}{m}{n}{134} \fouriercdef{\FOURdrrbracket}{FMX}{futm}{m}{n}{140} \newcommand*{\FOURverticals}[1]{% \vbox{% \baselineskip=-\maxdimen \lineskiplimit=\maxdimen \lineskip=0pt% \usefont{FMX}{futm}{m}{n}% \ialign{####\cr##1}% }% } \DeclareRobustCommand{\FOURtVERT}{% \raisebox{0.5ex}{\textvcenter{\FOURverticals{\char147\cr\char147\cr}}}} \DeclareRobustCommand{\FOURdVERT}{% \raisebox{0.5ex}{\textvcenter{\FOURverticals{\char147\cr\char147\cr\char147\cr\char147\cr}}}} } {} \newif\ifDOZ \newcommand\DOZ{\pkgname{dozenal}} \makeatletter \IfStyFileExists{dozenal} {\DOZtrue \fakeusepackage{dozenal} \DeclareRobustCommand{\DOZx}{\doz{X}} \DeclareRobustCommand{\DOZe}{\doz{E}} \DeclareRobustCommand{\alldoztallies}{% \doz{1}~% \doz{2}~% \doz{3}~% \doz{4}~% \doz{5}~% \doz{6}% } } {} \makeatother \newif\ifPMBOX \newcommand\PMBOX{\pkgname{pmboxdraw}} \IfStyFileExists{pmboxdraw} {\PMBOXtrue\usepackage{pmboxdraw}} {} \newif\ifPIG \newcommand\PIG{\pkgname{pigpen}} \IfStyFileExists{pigpen} {\PIGtrue \usepackage{pigpen} \DeclareRobustCommand{\CLSLpig}[1]{{\pigpenfont##1}} } {} \newif\ifCLOCK \newcommand\CLOCK{\pkgname{clock}} \IfStyFileExists{clock} {\CLOCKtrue\usepackage{clock}} {} % We define our own teubner package to try to minimize symbol conflicts. \newif\ifTEUB \newcommand\TEUB{\pkgname{teubner}} \makeatletter \IfStyFileExists{teubner} {\TEUBtrue\usepackage{teubner-subset}} {} \makeatother \newif\ifLINA \newcommand\LINA{\pkgname{linearA}} \setpkgnameopts{linearA}{pkg=lineara} \IfStyFileExists{linearA} {\LINAtrue\usepackage{linearA}} {} \newif\ifLINB \newcommand\LINB{\pkgname{linearb}} \IfStyFileExists{linearb} {\LINBtrue\usepackage{linearb}} {} \newif\ifCYPR \newcommand\CYPR{\pkgname{cypriot}} \IfStyFileExists{cypriot} {\CYPRtrue\usepackage{cypriot}} {} \newif\ifSARAB \newcommand\SARAB{\pkgname{sarabian}} \IfStyFileExists{sarabian} {\SARABtrue\usepackage{sarabian}} {} % Cuneiform -- not sure if this is appropriate for the list so it's % commented out for now. \newif\ifPRSN \newcommand\PRSN{\pkgname{oldprsn}} %\IfStyFileExists{oldprsn} % {\PRSNtrue\usepackage{oldprsn}} % {} % Cuneiform -- not sure if this is appropriate for the list so it's % commented out for now. \newif\ifUGAR \newcommand\UGAR{\pkgname{ugarite}} %\IfStyFileExists{ugarite} % {\UGARtrue\usepackage{ugarite}} % {} \newif\ifCHINA \newcommand\CHINA{% \pkgname[fmt={\protect\Chinasym{}}]{china2e}% } \IfStyFileExists{china2e} {\CHINAtrue \savesymbol{Info} \savesymbol{Earth} \savesymbol{Telephone} \savesymbol{Fire} \savesymbol{vdots} \let\origDeclareSymbolFont=\DeclareSymbolFont \let\origDeclareMathSymbol=\DeclareMathSymbol \renewcommand{\DeclareSymbolFont}[5]{} \renewcommand{\DeclareMathSymbol}[4]{% \DeclareRobustCommand{##1}{{\uchr##4}}} \usepackage{china2e} \let\DeclareSymbolFont=\origDeclareSymbolFont \let\DeclareMathSymbol=\origDeclareMathSymbol \restoresymbol{china}{Info} \restoresymbol{china}{Earth} \restoresymbol{china}{Telephone} \restoresymbol{china}{Fire} \restoresymbol{CHINA}{vdots} } {} \newif\ifHARP \newcommand\HARP{\pkgname{harpoon}} \IfStyFileExists{harpoon} {\HARPtrue\usepackage{harpoon}} {} \newif\ifSTEIN \newcommand\STEIN{\pkgname{steinmetz}} \IfStyFileExists{steinmetz} {\STEINtrue\usepackage{steinmetz}} {} % Note that the CTAN catalogue entry is "logic", but all the files % within the package are named "milstd.*". \newif\ifLOGIC \newcommand\LOGIC{\pkgname{logic}} \IfStyFileExists{milstd} {\LOGICtrue\usepackage{milstd}} {} \newif\ifRECYC \newcommand\RECYC{\pkgname{recycle}} \IfStyFileExists{recycle} {\RECYCtrue \usepackage{recycle} \DeclareRobustCommand{\RECYCrecycle}{{\recycle}} } {} \newif\ifDOTARR \newcommand\DOTARR{\pkgname{DotArrow}} \setpkgnameopts{DotArrow}{pkg=dotarrow} \IfStyFileExists{DotArrow} {\DOTARRtrue\usepackage{DotArrow}} {} \newif\ifUSHORT \newcommand\USHORT{\pkgname{ushort}} \IfStyFileExists{ushort} {\USHORTtrue\usepackage{ushort}} {} \newif\ifHHCNT \newcommand\HHCNT{\pkgname{hhcount}} \setpkgnameopts{hhcount}{link=http://mirror.ctan.org/usergrps/uktug/baskervi/5_5/hhcount.sty} \IfStyFileExists{hhcount} {\HHCNTtrue \usepackage{hhcount} \DeclareRobustCommand{\allfcdice}{% \fcbigdice{1}~% \fcbigdice{2}~% \fcbigdice{3}~% \fcbigdice{4}~% \fcbigdice{5}~% \fcbigdice{6}% } \DeclareRobustCommand{\allfcscores}{% \fcbigscore{1}~% \fcbigscore{2}~% \fcbigscore{3}~% \fcbigscore{4}~% \fcbigscore{5}% } } {} \newif\ifOGON \newcommand\OGON{\pkgname{ogonek}} \makeatletter \IfStyFileExists{ogonek} {\OGONtrue \let\origAtBeginDocument=\AtBeginDocument \long\def\AtBeginDocument##1{} \usepackage{ogonek} \let\AtBeginDocument=\origAtBeginDocument \DeclareTextCommand\OGONk{OT1}[1]{% \@testogonekletter{##1}\@oldfontsogonek{##1}} } {} \makeatother \newif\ifCBEL \newcommand\CBEL{\pkgname{combelow}} \IfStyFileExists{combelow} {\CBELtrue\usepackage{combelow}} {} % MusiXTeX's symbols aren't really designed to be used outside of % typesetting music. We therefore use our own faked version of MusiXTeX % that's a bit easier to work with. \newif\ifMSX \newcommand\MSX{MusiX\TeX\index{MusiXTeX=MusiX\TeX}} \makeatletter \IfStyFileExists{musixtex} {\MSXtrue \usepackage{fakemusixtex} \expandafter\xdef\csname ver@musixtex.sty\endcsname{% \csname ver@fakemusixtex.sty\endcsname} } {} \makeatother \newif\ifCCICO \newcommand\CCICO{\pkgname{ccicons}} \IfStyFileExists{ccicons} {\CCICOtrue \savesymbol{ccby} \usepackage{ccicons} \restoresymbol{CCICO}{ccby} } {} % We use the *-form of \IfStyFileExists, because the package is named % "adfsymbols", while the .sty files are named "adfarrows.sty" and % "adfbullets.sty". \makeatletter \newif\ifADFSYM \newcommand\ADFSYM{\pkgname{adfsymbols}} \IfStyFileExists*{adfarrows} {\@cons\foundpkgs{{adfsymbols}} \ADFSYMtrue \savesymbol{temp} \usepackage{adfarrows} \usepackage{adfbullets} \restoresymbol{ADF}{temp} } {} \makeatother \newif\ifADFORN \newcommand\ADFORN{\pkgname{adforn}} \IfStyFileExists{adforn} {\ADFORNtrue \savesymbol{adfbullet} \usepackage{adforn} \restoresymbol{ADF}{adfbullet} } {} \newif\ifBIGINTS \newcommand\BIGINTS{\pkgname{bigints}} \IfStyFileExists{bigints} {\BIGINTStrue\usepackage{bigints}} {} \newif\ifSOYO \newcommand\SOYO{\pkgname{soyombo}} \IfStyFileExists{soyombo} {\SOYOtrue \usepackage{soyombo} \DeclareRobustCommand{\SOYOsA}{{\soyombo\sA}} \DeclareRobustCommand{\SOYOsO}{{\soyombo\sO}} } {} \newif\ifTFRUP \newcommand\TFRUP{\pkgname{tfrupee}} \IfStyFileExists{tfrupee} {\TFRUPtrue\usepackage{tfrupee}} {} % The knitting package conflicts with mylatex.ltx. Hence, we use % a faked version instead. \newif\ifKNIT \newcommand\KNIT{\pkgname{knitting}} \IfStyFileExists{knitting} {\KNITtrue \fakeusepackage{knitting} \knitnogrid } {} \newif\ifTGRK \newcommand\TGRK{\pkgname{textgreek}} \IfStyFileExists{textgreek} {\TGRKtrue \savesymbol{textmu} \usepackage{textgreek} \restoresymbol{TGRK}{textmu} } {} \newif\ifBEGRIFF \newcommand\BEGRIFF{\pkgname{begriff}} \IfStyFileExists{begriff} {\BEGRIFFtrue\usepackage{begriff}} {} \hyphenation{Be-griffs-schrift} \newif\ifFREGE \newcommand\FREGE{\pkgname{frege}} \IfStyFileExists{frege} {\let\temp=\relax\FREGEtrue\usepackage{frege}} {} \newif\ifABRACES \newcommand\ABRACES{\pkgname{abraces}} \IfStyFileExists{abraces} {\ABRACEStrue\usepackage{abraces}} {} \newif\ifCOE \newcommand\COE{\pkgname{countriesofeurope}} \IfStyFileExists{countriesofeurope} {\COEtrue \usepackage{countriesofeurope} } {} \newif\ifCOOK \newcommand\COOK{\pkgname{cookingsymbols}} \IfStyFileExists{cookingsymbols} {\COOKtrue\usepackage{cookingsymbols}} {} \newif\ifPRODINT \newcommand\PRODINT{\pkgname{prodint}} \IfStyFileExists{prodint} {\PRODINTtrue % Define all three symbols manually to avoid consuming a math alphabet. \DeclareFontFamily{U}{ProdInt}{} \DeclareFontShape{U}{ProdInt}{m}{n}{<-> prodint}{} \DeclareRobustCommand{\prodi}{\text{\usefont{U}{ProdInt}{m}{n}\char80}} \DeclareRobustCommand{\Prodi}{\text{\usefont{U}{ProdInt}{m}{n}\char82}} \DeclareRobustCommand{\PRODI}{\text{\usefont{U}{ProdInt}{m}{n}\char84}} } {} \newif\ifEPI \newcommand\EPI{\pkgname{epiolmec}} \IfStyFileExists{epiolmec} {\EPItrue\usepackage{epiolmec}} {} \newif\ifMDW \newcommand\MDW{\pkgname{mdwmath}} \IfStyFileExists{mdwmath} {\MDWtrue \usepackage{mdwmath} \DeclareRobustCommand{\MDWsqrt}[2][]{\sqrt*[##1]{##2}} } {} % Don't waste a precious math alphabet on the rsfso package. \newif\ifRSFSO \newcommand\RSFSO{\pkgname{rsfso}} \IfStyFileExists{rsfso} {\RSFSOtrue \DeclareRobustCommand{\RSFSmathcal}[1]{\text{\usefont{U}{rsfso}{m}{n}##1}} } {} \newif\ifFNTAWE \newcommand\FNTAWE{\pkgname{fontawesome}} \IfStyFileExists{fontawesome} {\FNTAWEtrue\usepackage{fontawesome}} {} % stix defines a very large set of symbols and consumes a lot of math % alphabets. Hence, we once again use a faked version of the font to % avoid using up all of our math alphabets. \newif\ifSTIX \newcommand\STIX{\pkgname{stix}} \IfStyFileExists{stix} {\STIXtrue\fakeusepackage{stix}} {} % hands has no LaTeX support so we fabricate it ourselves. \newif\ifHANDS \newcommand\HANDS{\pkgname{hands}} \IfPackageFileExists{hands}{hands.mf} {\HANDStrue \DeclareFontFamily{U}{hands}{} \DeclareFontShape{U}{hands}{m}{n}{<-> hands}{} } {} % greenpoint has no LaTeX support so we fabricate it ourselves. \newif\ifGRPNT \newcommand\GRPNT{\pkgname{greenpoint}} \IfPackageFileExists{greenpoint}{greenpoint.mf} {\GRPNTtrue \DeclareFontFamily{U}{greenpoint}{} \DeclareFontShape{U}{greenpoint}{m}{n}{<-> greenpoint}{} } {} % nkarta has no LaTeX support so we fabricate it ourselves. \newif\ifNKARTA \newcommand\NKARTA{\pkgname{nkarta}} \IfPackageFileExists{nkarta}{nkarta.mf} {\NKARTAtrue \DeclareFontFamily{U}{nkarta}{} \DeclareFontShape{U}{nkarta}{m}{n}{<-> nkarta}{} } {} % astrosym has no LaTeX support so we fabricate it ourselves. \newif\ifASTRO \newcommand\ASTRO{\pkgname{astrosym}} \IfPackageFileExists{astrosym}{astrosym.mf} {\ASTROtrue \DeclareFontFamily{U}{astrosym}{} \DeclareFontShape{U}{astrosym}{m}{n}{<-> astrosym}{} } {} % Web-O-Mints has no LaTeX support so we fabricate it ourselves. \newif\ifWEBO \newcommand\WEBO{\pkgname{webomints}} \IfPackageFileExists{webomints}{WebOMintsGD.pfb} {\WEBOtrue \DeclareFontFamily{U}{WebOMintsGD}{} \DeclareFontShape{U}{WebOMintsGD}{m}{n}{<-> WebOMintsGD}{} } {} % moonphase has no LaTeX support so we fabricate it ourselves. \newif\ifMOON \newcommand\MOON{\pkgname{moonphase}} \IfPackageFileExists{moonphase}{moonphase.mf} {\MOONtrue \DeclareFontFamily{U}{moonphase}{} \DeclareFontShape{U}{moonphase}{m}{n}{<-> moonphase}{} } {} % dancers has no LaTeX support so we fabricate it ourselves. \newif\ifDANCE \newcommand\DANCE{\pkgname{dancers}} \IfPackageFileExists{dancers}{dancers.mf} {\DANCEtrue \DeclareFontFamily{U}{dancers}{} \DeclareFontShape{U}{dancers}{m}{n}{<-> dancers}{} } {} % semaphor has no LaTeX support so we fabricate it ourselves. \newif\ifSEMA \newcommand\SEMA{\pkgname{semaphor}} \IfPackageFileExists{semaphor}{smfpr10.mf} {\SEMAtrue \input{semaf.fd} \DeclareFontFamily{U}{smfpr10}{} \DeclareFontShape{U}{smfpr10}{m}{n}{<-> smfpr10}{} } {} % umranda has no LaTeX support so we fabricate it ourselves. \newif\ifUMRANDA \newcommand\UMRANDA{\pkgname{umranda}} \IfPackageFileExists{umranda}{umranda.mf} {\UMRANDAtrue \DeclareFontFamily{U}{umranda}{} \DeclareFontShape{U}{umranda}{m}{n}{<-> umranda}{} } {} % umrandb has no LaTeX support so we fabricate it ourselves. \newif\ifUMRANDB \newcommand\UMRANDB{\pkgname{umrandb}} \IfPackageFileExists{umrandb}{umrandb.mf} {\UMRANDBtrue \DeclareFontFamily{U}{umrandb}{} \DeclareFontShape{U}{umrandb}{m}{n}{<-> umrandb}{} } {} % cryst has no LaTeX support so we fabricate it ourselves. \newif\ifCRYST \newcommand\CRYST{\pkgname{cryst}} \IfPackageFileExists{cryst}{cryst.mf} {\CRYSTtrue \DeclareFontFamily{U}{cryst}{} \DeclareFontShape{U}{cryst}{m}{n}{<-> cryst}{} } {} % starfont has symbol conflicts with pretty much every other package % providing astronomical symbols. We therefore use a faked version of % the package that prefixes all starfont symbols with "STAR". \newif\ifSTAR \newcommand\STAR{\pkgname{starfont}} \IfStyFileExists{starfont} {\STARtrue\fakeusepackage{starfont}} {} \newif\ifTIKZSYM \newcommand\TIKZSYM{\pkgname{tikzsymbols}} \IfStyFileExists{tikzsymbols} {\TIKZSYMtrue \savesymbol{Smiley} \savesymbol{Coffeecup} \usepackage{tikzsymbols} \restoresymbol{TIKZSYM}{Smiley} \restoresymbol{TIKZSYM}{Coffeecup} } {} % dice has no LaTeX support so we fabricate it ourselves. \newif\ifDICE \newcommand\DICE{\pkgname{dice}} \IfPackageFileExists{dice}{dice3d.mf}{\DICEtrue}{} \ifDICE \DeclareFontFamily{U}{dice3d}{} \DeclareFontShape{U}{dice3d}{m}{n}{<-> s*[4] dice3d}{} \fi \newif\ifAPL \newcommand\APL{\pkgname{apl}} \IfStyFileExists{apl} {\APLtrue \savesymbol{NG} \usepackage{apl} \restoresymbol{APL}{NG} } {} % The go package only defines a few symbols, but these have worrisome % names from a conflict standpoint (e.g., \square, \triangle, and % \empty). Rather than protect each command individually, we use a % faked version of the package that prefixes all of the go symbols with % "GO". Note that we call \usepackage{fakego} instead of % \fakeusepackage{go} because the go package doesn't begin with a % \ProvidesPackage command and therefore gets loaded in its entirely, % which is problematic. \newif\ifGOPKG \newcommand\GOPKG{\pkgname{go}} \IfStyFileExists{go} {\GOPKGtrue\usepackage{fakego}} {} % magic has no LaTeX support so we fabricate it ourselves. \newif\ifMAGIC \newcommand\MAGIC{\pkgname{magic}} \IfPackageFileExists{magic}{magic.mf} {\MAGICtrue \DeclareFontFamily{U}{magic}{} \DeclareFontShape{U}{magic}{m}{n}{<-> magic}{} } {} % bartel-chess-fonts has no LaTeX support so we fabricate it ourselves. \newif\ifBARTEL \newcommand\BARTEL{\pkgname{bartel-chess-fonts}} \IfPackageFileExists{bartel-chess-fonts}{fselch10.mf}{\BARTELtrue}{} \ifBARTEL \DeclareFontFamily{U}{fselch}{} \DeclareFontShape{U}{fselch}{m}{n}{<-> s * [13] fselch10}{} \DeclareFontFamily{U}{pkelch}{} \DeclareFontShape{U}{pkelch}{m}{n}{<-> s * [13] pkelch10}{} \fi \newif\ifACTANG \newcommand\ACTANG{\pkgname{actuarialangle}} \IfStyFileExists{actuarialangle} {\ACTANGtrue \savesymbol{lift} \usepackage{actuarialangle} \restoresymbol{ACTANG}{lift} } {} % lilyglyphs currently works only with LuaLaTeX and XeLaTeX, not % pdfLaTeX. We therefore modify lilyglyphs's internals to use graphics % instead of fonts. Unfortunately, some lilyglyphs glyphs are provided % by the package only as PDF files so we disable lilyglyphs entirely % when not producing PDF output. \newif\ifLILY \DeclareRobustCommand{\lilylogo}{\textsf{lilyglyphs}} \newcommand\LILY{\pkgname{LilyGlyphs}} \setpkgnameopts{LilyGlyphs}{pkg=lilyglyphs,fmt={\noexpand\lilylogo}} \IfStyFileExists{lilyglyphs} {\LILYtrue \savesymbol{flat} \savesymbol{natural} \savesymbol{sharp} % lilyglyphs does a \renewcommand on the following predefined LaTeX symbols. \def\flat{} \def\natural{} \def\sharp{} \usepackage{lilyglyphs} \restoresymbol{LILY}{flat} \restoresymbol{LILY}{natural} \restoresymbol{LILY}{sharp} } {} \ifLILY \ifpdf \DeclareRobustCommand{\lilylogo}{% % The following \pdfliteral magic makes lilyglyphs's graphical logo % searchable as if it were simply the word "lilyglyphs". \pdfliteral{ /Span << /ActualText (lilyglyphs) >> BDC }% \raisebox{-0.78ex}{\includegraphics{lilyglyphs/lilyglyphs_logo}}% \pdfliteral{EMC}% }% \renewcommand*{\lilyPrint}[2][]{% \interpretLilyOptions{#1}% #2% } \def\lilyGetGlyph#1{\includegraphics[scale=0.013151]{lilyglyphs/#1.pdf}} \DeclareRobustCommand{\LILYdyn}[2]{\raisebox{#1}{\lilyGetGlyph{#2}}} \renewcommand*{\lilyRF}{\LILYdyn{0pt}{r}\kern-2pt\LILYdyn{-2pt}{f}} \renewcommand*{\lilyRFZ}{\lilyRF\kern-1.5pt\LILYdyn{0pt}{z}} \DeclareGraphicsRule{*}{pdf}{*}{} % Needed to support files containing multiple extensions (e.g., "clefs.C.pdf") \fi \fi % knot has no LaTeX support so we fabricate it ourselves. \newif\ifKNOT \newcommand\KNOT{\pkgname{knot}} \IfPackageFileExists{knot}{knot7.mf}{\KNOTtrue}{} \ifKNOT \DeclareFontFamily{U}{knot1}{} \DeclareFontShape{U}{knot1}{m}{n}{<-> sfixed * knot1}{} \DeclareFontFamily{U}{knot2}{} \DeclareFontShape{U}{knot2}{m}{n}{<-> sfixed * knot2}{} \DeclareFontFamily{U}{knot3}{} \DeclareFontShape{U}{knot3}{m}{n}{<-> sfixed * knot3}{} \DeclareFontFamily{U}{knot4}{} \DeclareFontShape{U}{knot4}{m}{n}{<-> sfixed * knot4}{} \DeclareFontFamily{U}{knot5}{} \DeclareFontShape{U}{knot5}{m}{n}{<-> sfixed * knot5}{} \DeclareFontFamily{U}{knot6}{} \DeclareFontShape{U}{knot6}{m}{n}{<-> sfixed * knot6}{} \DeclareFontFamily{U}{knot7}{} \DeclareFontShape{U}{knot7}{m}{n}{<-> sfixed * knot7}{} \fi \newif\ifBCLOGO \newcommand\BCLOGO{\pkgname{bclogo}} \IfStyFileExists{bclogo} {\BCLOGOtrue\usepackage[tikz]{bclogo}} {} \newif\ifBULL \newcommand\BULL{\pkgname{bullcntr}} \IfStyFileExists{bullcntr} {\BULLtrue \usepackage{bullcntr} \newcounter{CLSLbull} \newcommand{\showbullcntr}[1]{% \setcounter{CLSLbull}{##1}% \bullcntr{CLSLbull}% } } {} \newif\ifRUBIK \newcommand\RUBIK{\pkgname{rubikcube}} \IfStyFileExists{rubikcube} {\RUBIKtrue \let\orignewcommand=\newcommand \let\newcommand=\DeclareRobustCommand \usepackage{rubikcube} \let\newcommand=\orignewcommand } {} % We have no math alphabets left so we trick svrsymbols.sty into defining % all of its characters in text mode. \newif\ifSVR \newcommand\SVR{\pkgname{svrsymbols}} \makeatletter \IfStyFileExists{svrsymbols} {\SVRtrue \let\origDeclareSymbolFont=\DeclareSymbolFont \let\origDeclareMathSymbol=\DeclareMathSymbol \let\origSetSymbolFont=\SetSymbolFont \renewcommand{\DeclareSymbolFont}[5]{} \renewcommand{\SetSymbolFont}[6]{} \renewcommand{\DeclareMathSymbol}[4]{% \let##1=\relax% \photon and \antiproton are defined repeatedly. \newcommand{##1}{{\usefont{OML}{svr}{m}{it}\char##4}}% } \usepackage{svrsymbols} \let\DeclareSymbolFont=\origDeclareSymbolFont \let\DeclareMathSymbol=\origDeclareMathSymbol \let\SetSymbolFont=\origSetSymbolFont } {} \newif\ifHWMATH \newcommand\HWMATH{\pkgname{halloweenmath}} \IfStyFileExists{halloweenmath} {\HWMATHtrue\usepackage{halloweenmath}} {} % Use a faked version of old-arrows.sty so as not to waste a math alphabet. \newif\ifOLDARR \newcommand\OLDARR{\pkgname{old-arrows}} \IfStyFileExists{old-arrows} {\OLDARRtrue\usepackage{fakeold-arrows}} {} % Use a faked version of allrunes.sty so as not to redefine existing symbols. \newif\ifARUNE \newcommand\ARUNE{\pkgname{allrunes}} \IfStyFileExists{allrunes} {\ARUNEtrue\usepackage{fakeallrunes}} {} % If emf.sty exists, don't load it normally because that would % consume any of a number of math alphabets. Instead, we simply % check that all of its dependent packages exist. \newif\ifEMF \newcommand\EMF{\pkgname{emf}} \IfStyFileExists*{emf} {\IfStyFileExists*{BOONDOX-cal} {\IfStyFileExists*{calligra} {\IfStyFileExists*{frcursive} {\IfStyFileExists*{fourier} {\IfStyFileExists*{miama} {\IfStyFileExists*{tgchorus} {\IfStyFileExists*{rsfso} {\EMFtrue} {} } {} } {} } {} } {} } {} } {} } {} % Only if all of emf's dependencies are met do we mark the package as included. \makeatletter \ifEMF \@cons\foundpkgs{{emf}} \let\origRequirePackage=\RequirePackage \usepackage{emf} \let\RequirePackage=\origRequirePackage \DeclareRobustCommand{\emfboondox}{{\usefont{U}{BOONDOX-cal}{m}{n}E}} \DeclareRobustCommand{\emfcal}{\ensuremath{\mathcal{E}}} \DeclareRobustCommand{\emfcalligra}{{% $\mkern-7mu$% \usefont{T1}{calligra}{m}{n}\fontsize{7.43}{10}\selectfont E}% } \DeclareRobustCommand{\emfchorus}{{\usefont{OT1}{qzc}{m}{it}\fontsize{12.2}{10}\selectfont E}} \DeclareRobustCommand{\emfcmr}{{\usefont{OMS}{cmr}{m}{n}E}} \DeclareRobustCommand{\emffourier}{{\usefont{FMS}{futm}{m}{n}E}} \DeclareRobustCommand{\emffrcursive}{{\usefont{T1}{frc}{m}{sl}E}} \DeclareRobustCommand{\emfmiama}{{\usefont{OT1}{fmm}{m}{n}\fontsize{8.5}{10}\selectfont E}} \DeclareRobustCommand{\emfrsfs}{{\usefont{OMS}{rsfs}{m}{n}E}} \else \completefalse\@cons\missingpkgs{{emf}} \fi \makeatother % Define all of esrelation's symbols as text symbols to avoid consuming % a math alphabet. \newif\ifESR \newcommand\ESR{\pkgname{esrelation}} \makeatletter \IfStyFileExists{esrelation} {\ESRtrue % Load the package with text-mode symbol replacements. \let\origDeclareSymbolFont=\DeclareSymbolFont \let\origDeclareMathSymbol=\DeclareMathSymbol \renewcommand{\DeclareSymbolFont}[5]{} \renewcommand{\DeclareMathSymbol}[4]{% \DeclareRobustCommand{##1}{\text{\usefont{U}{esrelation}{m}{n}\char##4}}% } \usepackage{esrelation} \let\DeclareSymbolFont=\origDeclareSymbolFont \let\DeclareMathSymbol=\origDeclareMathSymbol % esrelation extensible symbols get messed up when used with a center % environment. Work around that limitation by typesetting them within % a box. \DeclareRobustCommand{\ESRrelationlifting}[1]{% \settowidth{\@tempdima}{##1}% \advance\@tempdima by 4pt% \begin{minipage}[b]{\@tempdima}% \ifdim\@tempdima<13pt $\relationlifting{\mkern2mu##1\mkern2mu}$% \else $\relationlifting{##1}$% \fi \end{minipage}% } \DeclareRobustCommand{\ESRrelationleftproject}[1]{% \settowidth{\@tempdima}{##1}% \advance\@tempdima by 4pt% \begin{minipage}[b]{\@tempdima}% \ifdim\@tempdima<13pt $\relationleftproject{\mkern2mu##1\mkern2mu}$% \else $\relationleftproject{##1}$% \fi \end{minipage}% } \DeclareRobustCommand{\ESRrelationrightproject}[1]{% \settowidth{\@tempdima}{##1}% \advance\@tempdima by 4pt% \begin{minipage}[b]{\@tempdima}% \ifdim\@tempdima<13pt $\relationrightproject{\mkern2mu##1\mkern2mu}$% \else $\relationrightproject{##1}$% \fi \end{minipage}% } } {} \makeatother \newif\ifOPLOT \newcommand\OPLOT{\pkgname{oplotsymbl}} \IfStyFileExists{oplotsymbl} {\OPLOTtrue\usepackage{oplotsymbl}} {} % cmupint consumes a math alphabet and conflicts with a number of symbols % appearing in other packages. We use a faked version of the package that % addresses both of these challenges. \newif\ifCMUPINT \newcommand\CMUPINT{\pkgname{cmupint}} \IfStyFileExists{cmupint} {\CMUPINTtrue\fakeusepackage{cmupint}} {} % For convenience typesetting and indexing, we define a wrapper command for % each optional argument to \hat. \newif\ifRHATS \newcommand\RHATS{\pkgname{realhats}} \IfStyFileExists{realhats} {\RHATStrue \savesymbol{hat} \let\hat=\orighat % realhats does a \renewcommand{\hat} so \hat must exist. \usepackage{realhats} \restoresymbol{RHAT}{hat} \DeclareRobustCommand{\RHATash}[1]{\RHAThat[ash]{##1}} \DeclareRobustCommand{\RHATberet}[1]{\RHAThat[beret]{##1}} \DeclareRobustCommand{\RHATcowboy}[1]{\RHAThat[cowboy]{##1}} \DeclareRobustCommand{\RHATcrown}[1]{\RHAThat[crown]{##1}} \DeclareRobustCommand{\RHATsanta}[1]{\RHAThat[santa]{##1}} \DeclareRobustCommand{\RHATsombrero}[1]{\RHAThat[sombrero]{##1}} \DeclareRobustCommand{\RHATtophat}[1]{\RHAThat[tophat]{##1}} \DeclareRobustCommand{\RHATwitch}[1]{\RHAThat[witch]{##1}} % I don't understand why, but dunce and fez mess up the index when they take % \graybox (or any colored item) as an argument. A workaround is to typeset % a black object after the colored object. \DeclareRobustCommand{\RHATdunce}[1]{\RHAThat[dunce]{##1\rule{1sp}{1sp}}} \DeclareRobustCommand{\RHATfez}[1]{\RHAThat[fez]{##1\rule{1sp}{1sp}}} } {} \newif\ifEUFLAG \newcommand\EUFLAG{\pkgname{euflag}} \IfStyFileExists{euflag} {\EUFLAGtrue\usepackage{euflag}} {} \newif\ifSCSNOW \newcommand\SCSNOW{\pkgname{scsnowman}} \IfStyFileExists{scsnowman} {\SCSNOWtrue \usepackage{scsnowman} % We use the following as an example. \newcommand*{\snowargs}{% eyes, mouth, nose, arms, hat, muffler, buttons, snow, broom% } \DeclareRobustCommand{\scsnowmanFANCY}[1][scale=1]{% \expandafter\scsnowman\expandafter[\snowargs, ##1]% }% } {} % endofproofwd generally makes a mess of the document. If the package % exists we redefine its one command manually. \newif\ifEOPROOF \newcommand\EOPROOF{\pkgname{endofproofwd}} \IfStyFileExists{endofproofwd} {\IfFileExists{endofproofwd.pdf} {\EOPROOFtrue \DeclareRobustCommand*{\wasserdicht}{% \includegraphics[width=10pt]{endofproofwd.pdf}% } } {} } {} % mismath redefines a bunch of other commands. All we really care % about here are the textual operators so we redefine those manually. \newif\ifMISMATH \newcommand\MISMATH{\pkgname{mismath}} \IfStyFileExists{mismath} {\ifESV\ifAMS \MISMATHtrue \DeclareMathOperator{\MISMadj}{adj} \DeclareMathOperator{\MISMAut}{Aut} \DeclareMathOperator{\MISMConv}{Conv} \DeclareMathOperator{\MISMcov}{cov} \DeclareMathOperator{\MISMCov}{Cov} \DeclareMathOperator{\MISMcurl}{\vv{\text{curl}}} \DeclareMathOperator{\MISMdivg}{div} \DeclareMathOperator{\MISMEnd}{End} \DeclareMathOperator{\MISMerf}{erf} \DeclareMathOperator{\MISMgrad}{\vv{\text{grad}}} \DeclareMathOperator{\MISMid}{id} \DeclareMathOperator{\MISMId}{Id} \DeclareMathOperator{\MISMim}{im} \DeclareMathOperator{\MISMIm}{Im} \DeclareMathOperator{\MISMlb}{lb} \DeclareMathOperator{\MISMlcm}{lcm} \DeclareMathOperator{\MISMrank}{rank} \DeclareMathOperator{\MISMRe}{Re} \DeclareMathOperator{\MISMrot}{\vv{\text{rot}}} \DeclareMathOperator{\MISMsgn}{sgn} \DeclareMathOperator{\MISMspa}{span} \DeclareMathOperator{\MISMtr}{tr} \DeclareMathOperator{\MISMVar}{Var} \DeclareMathOperator{\MISMZu}{Z} \DeclareMathOperator{\MISMarccot}{arccot} \DeclareMathOperator{\MISMsech}{sech} \DeclareMathOperator{\MISMcsch}{csch} \DeclareMathOperator{\MISMarsinh}{arsinh} \DeclareMathOperator{\MISMarcosh}{arcosh} \DeclareMathOperator{\MISMartanh}{artanh} \DeclareMathOperator{\MISMarcoth}{arcoth} \DeclareMathOperator{\MISMarsech}{arsech} \DeclareMathOperator{\MISMarcsch}{arcsch} \DeclareMathOperator{\MISMbigO}{\mathcal{O}} \DeclareMathOperator{\MISMbigo}{O} \DeclareMathOperator{\MISMlito}{o} \fi\fi } {} \newif\ifMUSICOG \newcommand\MUSICOG{\pkgname{musicography}} \IfStyFileExists{musicography} {\MUSICOGtrue\usepackage{musicography}} {} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % If we have mflogo.sty, use it. Otherwise, define \MF the "boring" way. \IfStyFileExists*{mflogo} {\usepackage{mflogo}} {\newcommand{\MF}{Metafont}} % If we have booktabs.sty, use it. Otherwise, define all its line types % in terms of \hline and \cline. \IfStyFileExists*{booktabs} {\usepackage{booktabs}} {\newcommand{\toprule}{\hline} \newcommand{\midrule}{\hline} \newcommand{\bottomrule}{\hline} \def\cmidrule(##1)##2{\cline{##2}} } % If we have url.sty, use it. Otherwise, define \url as \texttt. \IfStyFileExists*{url} {\usepackage{url} \def\UrlBreaks{} \def\UrlBigBreaks{\do/}} {\newcommand{\url}[1]{\texttt{##1}}} % If we have geometry.sty, use it. Otherwise, a lot of tables are going % to stick out into the margin. \makeatletter \IfStyFileExists*{geometry} {\usepackage[margin=1in,nohead,ignoremp]{geometry} } {} \makeatother % If we have multicol.sty, use it. \newif\ifhavemulticol \IfStyFileExists*{multicol} {\havemulticoltrue\usepackage{multicol}} {} % If we have rotating.sty, use it. \newif\ifhaverotating \IfStyFileExists*{rotating} {\haverotatingtrue\usepackage{rotating}} {} % If we have cancel.sty, use it. \newif\ifhavecancel \IfStyFileExists*{cancel} {\havecanceltrue\usepackage{cancel}} {} % If we have slashed.sty, use it. \newif\ifhaveslashed \IfStyFileExists*{slashed} {\haveslashedtrue\usepackage{slashed}} {} % If we have centernot.sty, use it. \newif\ifhavecenternot \IfStyFileExists*{centernot} {\havecenternottrue\usepackage{centernot}} {} % If we have the accents package, use it (for an example in the section % on constructing new symbols). \newif\ifACCENTS \IfStyFileExists{accents} {\ACCENTStrue \savesymbol{undertilde} \savesymbol{dddot} \savesymbol{ddddot} \usepackage{accents} \restoresymbol{ACCENTS}{undertilde} \restoresymbol{ACCENTS}{dddot} \restoresymbol{ACCENTS}{ddddot} } {} % If we have the nicefrac package, use it (to show how to typeset fractions). \newif\ifFRAC \IfStyFileExists{nicefrac} {\FRACtrue \usepackage[nice]{nicefrac} } {} % If we have the bm package, use it (to show how to typeset bold math). \newif\ifBM \IfStyFileExists{bm} {\BMtrue \usepackage{bm} } {} % If we have the xfakebold package, use it (to show how to typeset bold math). \newif\ifXFB \IfStyFileExists{xfakebold} {\XFBtrue \usepackage{xfakebold} } {} % If we have ot2enc.def, use it (to show how to produce a Cyrillic "sha"). \newif\ifOTII \IfFileExists{ot2enc.def} {\OTIItrue\input{ot2enc.def}} {} % If we have the Latin Modern fonts we can use those to show how to % produce a long "s" \newif\ifLATMOD \IfFileExists{lmodern.sty} {\LATMODtrue \newcommand{\LMlongs}{{\usefont{TS1}{lmr}{m}{n}\char115}}} {} % If we have t2aenc.def, use it (to show how to produce various Cyrillic % accents. \newif\ifTIIA \IfFileExists{t2aenc.def} {\TIIAtrue\input{t2aenc.def}} {} % If we have needspace.sty, use it. Otherwise, replicate the \Needspace* % macro's code verbatim. \makeatletter \IfStyFileExists*{needspace} {\usepackage{needspace}} {\newcommand{\Needspace}[2]{\par \penalty-100\begingroup \setlength{\dimen@}{##2}% \dimen@ii\pagegoal \advance\dimen@ii-\pagetotal \ifdim \dimen@>\dimen@ii \break \fi\endgroup} } \makeatother % If we have type1cm.sty, use it. \IfStyFileExists*{type1cm} {\usepackage{type1cm}} {} % If we have multirow.sty, use it. \newif\ifhavemultirow \IfStyFileExists*{multirow} {\havemultirowtrue\usepackage{multirow}} {} % If we have simplewick.sty, use it. \newif\ifhavesimplewick \IfStyFileExists*{simplewick} {\havesimplewicktrue\usepackage{simplewick}} {} % If we have placeins.sty, use it. \newif\ifhaveplaceins \IfStyFileExists*{placeins} {\haveplaceinstrue\usepackage{placeins}} {} % If we have tocbibind.sty, use it. \IfStyFileExists*{tocbibind} {\usepackage{tocbibind}} {} % If we have the Junicode font, use a few characters we extracted from % it as graphics. \newif\ifJUNI \newcommand\JUNI{\pkgname{junicode}} \IfPackageFileExists{junicode}{Junicode.ttf} {\JUNItrue \DeclareRobustCommand{\versicle}{% \raisebox{-1.7pt}{\includegraphics[scale=0.005]{junicode/u2123}}% } \DeclareRobustCommand{\response}{% \raisebox{-1.1pt}{\includegraphics[scale=0.005]{junicode/u211F}}% } } {} % Define our own \lesssim and \gtrsim with slanted \sim. See % https://tex.stackexchange.com/questions/429758/ams-inequalities-a-variant-of-gtrsim-and-lesssim \let\TSElesssimslant=\relax \let\TSEgtrsimslant=\relax \IfStyFileExists*{stackengine}{% \IfStyFileExists*{scalerel}{% \usepackage{stackengine} \usepackage{scalerel} \DeclareRobustCommand{\TSElesssimslant}{% \mathrel{\ensurestackMath{\ThisStyle{% \stackengine{-.4\LMex}{\SavedStyle<}{% \rotatebox{-25}{$\SavedStyle\sim$}}{U}{r}{F}{T}{S}}}}} \DeclareRobustCommand{\TSEgtrsimslant}{% \mathrel{\ensurestackMath{\ThisStyle{% \stackengine{-.4\LMex}{\SavedStyle>}{% \rotatebox{25}{$\SavedStyle\sim$}}{U}{l}{F}{T}{S}}}}} } {} } {} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Because most (La)TeX builds are limited to 16 math alphabets, we % % define our own _text_ commands below instead of doing a \usepackage, % % because the latter would invoke a \DeclareMathAlphabet. % % % \IfStyFileExists{mathrsfs} {\newcommand{\mathscr}[1]{\mbox{\usefont{U}{rsfs}{m}{n}##1}}} {} \IfStyFileExists{chancery} {\newcommand{\mathpzc}[1]{\mbox{\usefont{OT1}{pzc}{m}{it}##1}}} {} \setpkgnameopts{chancery}{pkg=psnfss} \newif\ifCHAN \newcommand\CHAN{\pkgname{urwchancal}} \IfStyFileExists{urwchancal} {\CHANtrue \newcommand{\CHANmathcal}[1]{\mbox{\usefont{U}{urwchancal}{m}{n}##1}} } {} \IfStyFileExists{calligra} {\savesymbol{filename} \usepackage{calligra} \restoresymbol{CAL}{filename} } {} \IfStyFileExists{bbold} {\newcommand{\BBmathbb}[1]{\mbox{\usefont{U}{bbold}{m}{n}##1}} % We have to manually define all of the symbols we care about. \newcommand{\BBsym}[1]{\ensuremath{\BBmathbb{\char##1}}} \newcommand{\Langle}{\BBsym{`<}} \newcommand{\Lbrack}{\BBsym{`[}} \newcommand{\Lparen}{\BBsym{`(}} \newcommand{\bbalpha}{\BBsym{"0B}} \newcommand{\bbbeta}{\BBsym{"0C}} \newcommand{\bbgamma}{\BBsym{"0D}} \newcommand{\Rparen}{\BBsym{`)}} \newcommand{\Rbrack}{\BBsym{`]}} \newcommand{\Rangle}{\BBsym{"3E}} } {} \IfStyFileExists{mbboard} {\newcommand{\MBBmathbb}[1]{\mbox{\usefont{OT1}{mbb}{m}{n}##1}}} {} \ifx\MBBmathbb\undefined \else % Define only the symbols we actually use. \newcommand{\bbnabla}{\MBBmathbb{\char"9A}} \newcommand{\bbdollar}{\MBBmathbb{\char"24}} \newcommand{\bbeuro}{\MBBmathbb{\char"FB}} \newcommand{\bbpe}{\MBBmathbb{\char"D4}} \newcommand{\bbqof}{\MBBmathbb{\char"D7}} \newcommand{\bbyod}{\MBBmathbb{\char"C9}} \newcommand{\bbfinalnun}{\MBBmathbb{\char"CF}} % The following was copied from mbboard.sty. \DeclareFontFamily{OT1}{mbb}{\hyphenchar\font45} \DeclareFontShape{OT1}{mbb}{m}{n}{ <5> <6> <7> <8> <9> <10> gen * mbb <10.95> mbb10 <12> <14.4> mbb12 <17.28> <20.74> <24.88> mbb17 }{} \fi \IfStyFileExists{dsfont} {\newcommand{\mathds}[1]{\mbox{\usefont{U}{dsrom}{m}{n}##1}} \newcommand{\mathdsss}[1]{\mbox{\usefont{U}{dsss}{m}{n}##1}}} {} \setpkgnameopts{dsfont}{pkg=doublestroke} \IfStyFileExists{bbm} {\newcommand{\mathbbm}[1]{\mbox{\usefont{U}{bbm}{m}{n}##1}} \newcommand{\mathbbmss}[1]{\mbox{\usefont{U}{bbmss}{m}{n}##1}} \newcommand{\mathbbmtt}[1]{\mbox{\usefont{U}{bbmtt}{m}{n}##1}}} {} % \mathfrak is defined by a number of packages, to check for it by name. \ifx\mathfrak\undefined \else \renewcommand{\mathfrak}[1]{\mbox{\fontencoding{U}\fontfamily{euf}\selectfont#1}} \fi % msym10 doesn't have a corresponding LaTeX package. We establish its % existence via the msym10.tfm file. However, this file is not normally % in LaTeX's input path, so be sure to point LaTeX to it (e.g., by % copying it into the current directory). \makeatletter \IfFileExists{msym10.tfm} {\DeclareFontFamily{OT1}{msym}{} \DeclareFontShape{OT1}{msym}{m}{n}{ <-> msym10 }{} \newcommand{\MSYMmathbb}[1]{\mbox{\fontfamily{msym}\selectfont##1}} } {\completefalse \@cons\missingpkgs{{msym10.tfm}} % Not really a package } \makeatother \IfStyFileExists{dsserif} {\newcommand{\dsserifbb}[1]{\mbox{\usefont{U}{DSSerif}{m}{n}##1}} \newcommand{\dsserifbbb}[1]{\mbox{\usefont{U}{DSSerif}{b}{n}##1}} } {} % % % % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Resolve the stmaryrd/wasysym \lightning conflict by defining \lightning % to use stmaryrd in math mode and wasysym in text mode. \DeclareRobustCommand{\lightning}{\ifmmode\STlightning\else\WASYlightning\fi} % Index a symbol, which may or may not begin with a backslash. (Is % there a better way to do this?) Also, if symbol is given as an % optional argument is given, typeset that symbol in the index, as well. % We define a related macro for indexing accents. In a previous version % of this file, \indexaccent additionally included "see also accents" in % the index. This became distracting so I made \indexaccent a synonym % for \indexcommand for the time being. Because punctuation marks can % be problematic for makeindex, we define an \indexpunct macro that % sorts its argument under the comparatively innocuous "_". \begingroup \catcode`\|=0 \catcode`\\=12 |gdef|sanitize#1#2!!!{% |ifx#1\% #2% |else #1#2% |fi } |endgroup \makeatletter \newcommand{\indexcommand}[2][]{% \edef\sanitized{\expandafter\sanitize\string#2!!!}% \def\first@arg{#1}% \ifx\first@arg\@empty \expandafter\index\expandafter{\sanitized=\string\verb+\string#2+}% \else \expandafter\index\expandafter{\sanitized=\string\verb+\string#2+ (#1)}% \fi } \let\indexaccent=\indexcommand \def\CLSLpipe{|}% \newcommand{\indexpunct}[2][]{% \def\first@arg{#1}% \def\second@arg{#2}% \ifx\first@arg\@empty \ifx\second@arg\CLSLpipe \index{_=\magicvertname}% \else \index{_=\string\verb+\string#2+}% \fi \else \ifx\second@arg\CLSLpipe \index{_=\magicvertname{} (#1)}% \else \index{_=\string\verb+\string#2+ (#1)}% \fi \fi } \makeatother % If we have the multicol package, typeset the index in three columns instead % of the usual two. \ifhavemulticol \makeatletter \renewenvironment{theindex}{% \clearpage \section*{\indexname} If you're having trouble locating a symbol, try looking under ``T'' for ``\texttt{\string\text}$\ldots$''. Many text-mode commands begin with that prefix. Also, accents are shown over/under a gray box (e.g.,~``\,\blackacchack{\'}\,'' for~``\texttt{\string\'}''). Some symbol entries appear to be listed repeatedly. This happens when multiple packages define identical (or nearly identical) glyphs with the same symbol name.% \ifAMS\ifABX \footnote{This occurs frequently between \pkgname{amssymb} and \pkgname{mathabx}, for example.} \fi\fi \setlength{\columnsep}{1em}% \begin{multicols}{3}% \let\item\@idxitem }{% \end{multicols}% } \makeatother \fi % Define a counter to keep track of how many symbols are listed. % Output this counter to the log file at the end of each run. % Define \prevtotalsymbols to be the total number of symbols from % the previous run. \newcounter{totalsymbols} \newcommand{\incsyms}{\addtocounter{totalsymbols}{1}} \makeatletter \AtEndDocument{% \typeout{Number of symbols documented: \thetotalsymbols} \immediate\write\@auxout{% \noexpand\gdef\noexpand\prevtotalsymbols{\thetotalsymbols}} } \makeatother % Define \prevtotalsymbols as "??" if this is our first run. Define % \approxcount as "~" unless explicitly defined otherwise in the .aux % file. To get a true count you should (externally to this file) count % the number of lines in the .ind file that contain "\item \verb" and % write an empty definition of \approxcount and the correct definition % of \prevtotalsymbols to the .aux file. \makeatletter \@ifundefined{prevtotalsymbols}{% \def\prevtotalsymbols{\textbf{??}}% }{} \@ifundefined{approxcount}{% \def\approxcount{\ensuremath{\sim}}% }{} \makeatother % If we have color.sty, use it to display accents atop gray boxes in the % index. (See below.) If we don't have color.sty, use black boxes. \IfStyFileExists*{color} {\usepackage{color} \newcommand*{\graybox}{\textcolor[gray]{0.7}{\rule[-\letteradp]{\letterawd}{\letteraht}}}} {\newcommand*{\graybox}{\rule[-\letteradp]{\letterawd}{\letteraht}}} % Define \blackacc to display an accented box, given an accent command. % Define \blackacchack to display an accented "a" and then black out % the "a". \usefont{OT1}{cmr}{m}{n} % Some package might change the default font. \newlength\letterawd \newlength\letteraht \newlength\letteradp \settowidth{\letterawd}{a} \settoheight{\letteraht}{a} \settodepth{\letteradp}{a} \advance\letteradp by 0.06pt % In Computer Modern, "a" extends slightly below its bounding box. \advance\letteraht by \letteradp \gdef\blackacchack#1{#1a\llap{\graybox}} \gdef\blackacc#1{#1{\graybox}} \gdef\blackacctwo#1{#1{\graybox}{\graybox}} % Symbol+verbatim for various types of symbols \def\E#1{% \begingroup \lccode`|=`\\ \def\EStruename{ES#1T} \lowercase{\incsyms\index{#1=\string\verb+\string|#1+ (\string|\EStruename)}} \endgroup \csname ES#1T\endcsname & \csname ES#1D\endcsname & \ttfamily\expandafter\string\csname#1\endcsname } \def\IGOb#1{\incsyms\indexcommand\blackstone \indexcommand[\string\igoblackstone{#1}]{#1}\igoblackstone{#1} & \ttfamily\string\blackstone[\string#1]} \def\IGOw#1{\incsyms\indexcommand\whitestone \indexcommand[\string\igowhitestone{#1}]{#1}\igowhitestone{#1} & \ttfamily\string\whitestone[\string#1]} \def\Jiv#1#2{\incsyms\indexcommand{#1}{\fontencoding{T4}\selectfont#1#2} & \ttfamily\string#1\string{#2\string}} \makeatletter \def\K@opt@arg[#1]#2{\incsyms\indexcommand[\string#1]{#2}#1 &\ttfamily\string#2} \def\K@no@opt@arg#1{\incsyms\indexcommand[\string#1]{#1}#1 &\ttfamily\string#1} \def\K{\@ifnextchar[{\K@opt@arg}{\K@no@opt@arg}} \makeatother \def\KED[#1][#2][#3]#4{\incsyms\indexcommand[#1]{#2}#3 &\ttfamily\string#4} \def\Kbull#1{% \incsyms \bgroup \lccode`\<=`\{% \lccode`\>=`\}% \lowercase{\index{bullcntr#1=\string\verb+\string\bullcntr<+\string\meta<#1>\string\verb+>+ (\string\showbullcntr<#1>)}}% \egroup \showbullcntr{#1} & \ttfamily\string\bullcntr\string{{\normalfont\meta{#1}}\string}% } \def\Kfeyn#1{\incsyms\indexcommand[\string\feyn{#1}]{\feyn{#1}}\feyn{#1} &\ttfamily\string\feyn\string{\string#1\string}} \def\Kp#1{\incsyms\indexpunct[$#1$]{#1}#1 &\ttfamily\string#1} \def\Kpig#1{\incsyms\index{pigpenfont #1=\string\verb+{\string\pigpenfont\space#1}+\space(\string\CLSLpig{#1})}\CLSLpig{#1} &\ttfamily\string{\string\pigpenfont\space\string#1\string}} \def\Ks#1{\incsyms\indexcommand[\string\encone{\string#1}]{#1}{\encone{#1}} &\ttfamily\string#1$^*$} \def\Kt#1{\incsyms\indexcommand[\string\encone{\string#1}]{#1}{\encone{#1}} &\ttfamily\string#1} \def\Kv#1{\incsyms\indexcommand[\string\encfive{\string#1}]{#1}{\encfive{#1}} &\ttfamily\string#1} \makeatletter \def\Kgr@opt@arg[#1]#2{\incsyms\indexcommand[\string\encgreek{\string#1}]{#2}{\encgreek{#1}} &\ttfamily\string#2} \def\Kgr@no@opt@arg#1{\incsyms\indexcommand[\string\encgreek{\string#1}]{#1}{\encgreek{#1}} &\ttfamily\string#1} \def\Kgr{\@ifnextchar[{\Kgr@opt@arg}{\Kgr@no@opt@arg}} \makeatother \def\KN[#1][#2]#3{\incsyms\indexcommand[\string#1]{#3} #1 & #2 & \ttfamily\string#3} \def\KNbig[#1][#2]#3{\incsyms\indexcommand[\string#2]{#3} #1 & #2 & \ttfamily\string#3} \def\Knoidx#1{\incsyms#1 &\ttfamily\string#1} \def\Kcoe#1{% \incsyms\indexcommand[\string{\string\countriesofeuropefamily\string#1\string}]{#1}% \fontsize{72}{72}\countriesofeuropefamily#1 & \ttfamily\string#1 } \makeatletter \def\N@opt@arg[#1]#2{\incsyms\indexcommand[$\string#1$]{#2}$#1$ & $\Big#1$ &\ttfamily\string#2} \def\N@no@opt@arg#1{\incsyms\indexcommand[$\string#1$]{#1}$#1$ & $\Big#1$ &\ttfamily\string#1} \def\N{\@ifnextchar[{\N@opt@arg}{\N@no@opt@arg}} \def\Nn[#1]#2{% \incsyms\indexcommand[$\string\nathdouble\string#1$]{#2}% $\nathdouble#1$ & $\nathdouble{\Big#1}$ & \ttfamily\string#2} \def\Nnt#1[#2]#3{% \incsyms\indexcommand{\triple}% $\nathtriple#2$ & $\nathtriple{\Big#2}$ & \ttfamily\expandafter\string\csname#1triple\endcsname\string#3} \def\Np@opt@args[#1]{\@ifnextchar[{\Np@two@opt@args[#1]}{\Np@one@opt@arg[#1]}} \def\Np@two@opt@args[#1][#2]#3{\incsyms\index{_=\string#2{} ($\string#1$)}$#1$ & $\Big#1$ &\ttfamily\string#3} \def\Np@one@opt@arg[#1]#2{\incsyms\indexpunct[$\string#1$]{#2}$#1$ & $\Big#1$ &\ttfamily\string#2} \def\Np@no@opt@args#1{\incsyms\indexpunct[$\string#1$]{#1}$#1$ & $\Big#1$ &\ttfamily\string#1} \def\Np{\@ifnextchar[{\Np@opt@args}{\Np@no@opt@args}} \def\Nbig[#1]#2{\incsyms\indexcommand[$\string\Big\string#1$]{#2}$#1$ & $\Big#1$ &\ttfamily\string#2} \makeatother \def\Mt#1{\incsyms\indexcommand[\string\metra\string#1]{#1}\metra#1 &\ttfamily\string#1} \makeatletter \def\Q@opt@arg[#1]#2{\incsyms\indexaccent[\string\blackacchack{\string#1}]{#2}#1{A}#1{a} & \ttfamily\string#2\string{A\string}\string#2\string{a\string}} \def\Q@no@opt@arg#1{\incsyms\indexaccent[\string\blackacchack{\string#1}]{#1}#1{A}#1{a} & \ttfamily\string#1\string{A\string}\string#1\string{a\string}} \def\Q{\@ifnextchar[{\Q@opt@arg}{\Q@no@opt@arg}} \makeatother \def\Qc#1{\incsyms\indexaccent[\string\blackacc{\string#1}]{#1}#1{A}#1{a} & \ttfamily\string#1\string{A\string}\string#1\string{a\string}} \def\Qe[#1][#2]#3{% \incsyms\incsyms\index{_=\string#2{} (\string\blackacchack{\string#1})}% #3{A}#3{a} & \ttfamily\string#3\string{A\string}\string#3\string{a\string}} \def\Qt#1#2{\incsyms\indexaccent[\string#1{\string\blackacchack{\string#2}}]{#2}{#1{#2{A}#2{a}}} & \ttfamily\string#2\string{A\string}\string#2\string{a\string}} \def\Qpc#1#2{\incsyms\indexcommand{#2}{\raisebox{1pt}{\tiny[#1]}} & \ttfamily\string#2\string{A\string}\string#2\string{a\string}} \def\Qpfc[#1]#2{\incsyms\indexaccent[\string\encfour{\string\blackacchack{\string#1}}]{#2}\encfour{#1{A}#1{a}} & \ttfamily\string#2\string{A\string}\string#2\string{a\string}} \ifFC \def\Qiv#1#2{\incsyms\indexaccent[\string\encfour{\string\blackacchack{\string#1}}]{#1}\encfour{#1{A}#1{a}} & \ttfamily\string#1\string{A\string}\string#1\string{a\string}$^#2$} \def\QivBAR#1{\incsyms\index{_=\string\magicVertname{} (\string\encfour{\string\blackacchack{\string\FCbar}})} \encfour{\FCbar{A}\FCbar{a}} & \ttfamily\string\|\string{A\string}\string\|\string{a\string}$^#1$} \else \def\Qiv#1#2{\Qpc{T4}{#1}$^#2$} \def\QivBAR#1{\Qpc{T4}{\|}$^#1$} \fi \ifVIET \def\Qv#1#2{\incsyms\indexaccent[\string\encfive{\string\blackacchack{\string#1}}]{#1}{\encfive{#1{A}#1{a}}} & \ttfamily\string#1\string{A\string}\string#1\string{a\string}$^#2$} \else \def\Qv#1#2{\Qpc{T5}{#1}$^#2$} \fi \makeatletter % We use \displaystyle so that variable-sized symbols will be big. \def\R@opt@arg[#1]#2{\incsyms\indexcommand[$\string#1$]{#2}$#1$ & $\displaystyle#1$ &\ttfamily\string#2} \def\R@no@opt@arg#1{\incsyms\indexcommand[$\string#1$]{#1}$#1$ & $\displaystyle#1$ &\ttfamily\string#1} \def\R{\@ifnextchar[{\R@opt@arg}{\R@no@opt@arg}} \makeatother \def\Tm#1{\incsyms\indexcommand{\maya}$\mayadigit{#1}$ &\ttfamily\string\maya\string{#1\string}} \def\Tmoon#1{\incsyms\indexcommand{\MoonPha}\MoonPha{#1} &\ttfamily\string\MoonPha\string{#1\string}} \def\Tarr#1#2{% \incsyms\indexcommand[\csname adfarrow#1\endcsname#2]{\adfarrow#1#2}\csname adfarrow#1\endcsname{#2} & \ttfamily\string\adfarrow#1#2% } \def\Tast#1{% \incsyms\indexcommand[\adfast{#1}]{\adfast{#1}}\adfast{#1} & \ttfamily\string\adfast\string{#1\string}% } \def\Tbul#1{% \incsyms\indexcommand[\adfbullet{#1}]{\adfbullet{#1}}\adfbullet{#1} & \ttfamily\string\adfbullet\string{#1\string}% } \def\Tding#1{% \incsyms\indexcommand[\ding{#1}]{\ding{#1}}\ding{#1}\indexcommand{\ding} & \ttfamily\string\ding\string{#1\string}% } \def\Tknit#1{% \incsyms\indexcommand[\protect\textknit{#1}]{\textknit{#1}}\textknit{#1}\indexcommand{\textknit} & \ttfamily\string\textknit\string{#1\string}% } \def\Tpi#1#2{% \incsyms\indexcommand[\Pisymbol{#1}{#2}]{\Pisymbol{#1}{#2}}\Pisymbol{#1}{#2}\indexcommand{\Pisymbol} & \ttfamily\string\Pisymbol\string{#1\string}\string{#2\string}% } \def\Tld#1#2{% \incsyms \indexcommand[\protect\LILYdyn{#1}{#2}]{\lilyDynamics{#2}} \LILYdyn{#1}{#2}% & \ttfamily\string\lilyDynamics\string{#2\string}% } \makeatletter % Allow underscores in the argument to \lilyGlyph. \def\Tlg{\CLSLcleanarg\Tlg@helper} % \lilyglyphs glyph names are too long to index so we use "..." as a proxy. \def\Tlg@helper#1{% \incsyms \index{lilyGlyph=\string\verb+\string\lilyGlyph{+\dots\string\verb+}+ (\protect\lilyGlyph{#1})}% \lilyGlyph{#1}% & \ttfamily\string\lilyGlyph\string{#1\string}% } \makeatother \newcommand{\V}[2][]{\incsyms\indexcommand[#1]{#2}#1 & \indexcommand[#2]{#2}#2 &\ttfamily\string#2} \newcommand{\Vl}[1]{\incsyms\indexcommand{#1}#1 & & \ttfamily\string#1} \newcommand{\Vpl}[1]{\incsyms\indexpunct[$#1$]{#1}#1 & & \ttfamily\string#1} \makeatletter \newcommand{\VV}[2]{% \incsyms\indexaccent[$\string\blackacc{\string\vv}$]{\vv}% \expandafter\let\expandafter\fldrVV\csname fldr#1\endcsname \def\vectfill@{\traitfill@\relbaredd\relbareda\fldrVV}% $\vv{#2}$ & \texttt{\string\vv\string{#2\string}} with package option \optname{esvect}{#1} } \def\W@opt@arg[#1]#2#3{% \incsyms\indexaccent[$\string\blackacc{\string#1}$]{#2}% $#1{#3}$ &\ttfamily\string#2\string{#3\string}} \def\W@no@opt@arg#1#2{% \incsyms\indexaccent[$\string\blackacc{\string#1}$]{#1}% $#1{#2}$ &\ttfamily\string#1\string{#2\string}} \def\W{\@ifnextchar[{\W@opt@arg}{\W@no@opt@arg}} \makeatother \def\Wstar#1#2{% \incsyms\indexaccent[$\string\blackacc{\string#1*}$]{#1*}% $#1*{#2}$ &\ttfamily\string#1*\string{#2\string} } \def\Wf#1#2{\incsyms\indexcommand{#1}$#1{#2}$ &\ttfamily\string#1\string{#2\string}} \def\Ww#1#2#3{\incsyms\indexcommand{#2}$#1{#3}$ &\ttfamily\string#2\string{#3\string}} \def\Wul#1#2#3{% \incsyms\indexaccent[$\string\blackacctwo{\string#1}$]{#1}% $#1{#2}{#3}$ &\ttfamily\string#1\string{#2\string}\string{#3\string}} \makeatletter \def\X@opt@arg[#1]#2{\incsyms\indexcommand[$\string#1$]{#2}$#1$ &\ttfamily\string#2} \def\X@no@opt@arg#1{\incsyms\indexcommand[$\string#1$]{#1}$#1$ &\ttfamily\string#1} \def\X{\@ifnextchar[{\X@opt@arg}{\X@no@opt@arg}} \makeatother \def\Xstar#1{\incsyms\indexcommand[$\string#1*$]{#1*}$#1*$ &\ttfamily\string#1*} \def\Y#1{\incsyms\indexcommand[$\string\big\string#1$]{#1}$\big#1$ & $\Bigg#1$ &\ttfamily\string#1} \def\Z#1{\incsyms\indexcommand[$\string#1$]{#1}\ttfamily\string#1} % Display and index a command, but not its symbol (\cmd). \cmdI shows % the symbol in the index, with optional explicit formatting. \cmdX is % the same as \cmdI, but with the optional argument hardwired to the % command displayed in math mode. \cmdW indexes an accent. \cmdIp is % also similar to \cmdI but formats its argument with \indexpunct % instead of \indexcommand. \makeatletter \def\cmd#1{\texttt{\string#1}\indexcommand{#1}} \newcommand{\cmdI}[2][]{% \def\first@arg{#1}% \ifx\first@arg\@empty \texttt{\string#2}\indexcommand[#2]{#2}% \else \texttt{\string#2}\indexcommand[#1]{#2}% \fi } \newcommand{\cmdX}[1]{\cmdI[$\string#1$]{#1}} \newcommand{\cmdW}[1]{\cmdI[$\string\blackacc{\string#1}$]{#1}} \newcommand{\cmdIp}[2][]{% \def\first@arg{#1}% \ifx\first@arg\@empty \texttt{\string#2}\indexpunct[#2]{#2}% \else \texttt{\string#2}\indexpunct[#1]{#2}% \fi } \makeatother % Redefine the LaTeX commands that are replaced by textcomp. % This was swiped right out of ltoutenc.dtx, but with "\text..." % changed to "\ltext...". \DeclareTextCommandDefault{\ltextcopyright}{\textcircled{c}} \DeclareTextCommandDefault{\ltextordfeminine}{\textsuperscript{a}} \DeclareTextCommandDefault{\ltextordmasculine}{\textsuperscript{o}} \DeclareTextCommandDefault{\ltextregistered}{\textcircled{\scshape r}} \DeclareTextCommandDefault{\ltexttrademark}{\textsuperscript{TM}} \DeclareTextCommand{\ltextdollar}{OT1}{\char`\$} \DeclareTextCommandDefault{\ltextpertenthousand}{{% \fontencoding{T1}\selectfont\%\char 24\char 24 }} \DeclareTextCommandDefault{\ltextperthousand}{{% \fontencoding{T1}\selectfont\%\char 24 }} \DeclareTextCommand{\ltextsterling}{OT1}{\textit{\char`\$}} \DeclareTextSymbolDefault{\ltextasteriskcentered}{OMS} \DeclareTextSymbolDefault{\ltextbardbl}{OMS} \DeclareTextSymbolDefault{\ltextbigcircle}{OMS} \DeclareTextSymbolDefault{\ltextbullet}{OMS} \DeclareTextSymbolDefault{\ltextdaggerdbl}{OMS} \DeclareTextSymbolDefault{\ltextdagger}{OMS} \DeclareTextSymbolDefault{\ltextdollar}{OT1} \DeclareTextSymbolDefault{\ltextparagraph}{OMS} \DeclareTextSymbolDefault{\ltextperiodcentered}{OMS} \DeclareTextSymbolDefault{\ltextsection}{OMS} \DeclareTextSymbolDefault{\ltextsterling}{OT1} \DeclareTextSymbol{\ltextasteriskcentered}{OMS}{3} \DeclareTextSymbol{\ltextbardbl}{OMS}{107} \DeclareTextSymbol{\ltextbigcircle}{OMS}{13} \DeclareTextSymbol{\ltextbullet}{OMS}{15} \DeclareTextSymbol{\ltextdaggerdbl}{OMS}{122} \DeclareTextSymbol{\ltextdagger}{OMS}{121} \DeclareTextSymbol{\ltextparagraph}{OMS}{123} \DeclareTextSymbol{\ltextperiodcentered}{OMS}{1} \DeclareTextSymbol{\ltextsection}{OMS}{120} % Needed by the References section. This was copy&pasted from ltlogos.dtx. \makeatletter \DeclareRobustCommand{\LaT}{L\kern-.36em% {\sbox\z@ T% \vbox to\ht\z@{\hbox{\check@mathfonts \fontsize\sf@size\z@ \math@fontsfalse\selectfont A}% \vss}% }% \kern-.15em T% } \makeatother % Display a metavariable. \newcommand{\meta}[1]{$\langle$\textit{#1}$\rangle$} % Many tables have notes beneath them. Define an environment in which to % display such a note, with an optional, superscripted math symbol % preceding it. \newenvironment{tablenote}[1][]{ \makebox[1em]{\ensuremath{^{#1}}}% \begin{minipage}[t]{0.75\textwidth}% \setlength{\parskip}{2ex} }{% \end{minipage}% } % Define various messages we reuse repeatedly. \newcommand{\twosymbolmessage}[2][ (if \TC\ redefines it)]{% \begin{tablenote} The first symbol column represents the---sometimes ``faked''---symbol that \latexE provides by default. The second symbol column represents the symbol as redefined by \TC#1. The \TC\ package is generally required to typeset Table~\thetable's symbols in \italic#2.\strut \end{tablenote} } \newcommand{\notpredefinedmessage}{% \begin{tablenote}[*] Not predefined by the \latexE\ core. Use the \pkgname{latexsym} package to expose this symbol. \end{tablenote} } \newcommand{\usetextmathmessage}[1][]{% \begin{tablenote}[#1] It's generally preferable to use the corresponding symbol from \vref{math-text} because the symbols in that table work properly in both text mode and math mode. \end{tablenote} } \newcommand{\seedocs}[1]{% See the #1 documentation for more information% } \newcommand{\usefontcmdmessage}[2]{% These symbols must appear either within the argument to \cmd{#1} or following the \cmd{#2} font-selection command within a scope% } \newcommand{\greekfontmessage}{% Greek body text can be typeset using the \pkgname{babel} package's \optname{babel}{greek} (or \optname{babel}{polutonikogreek}\idxboth{polytonic}{Greek}) option---and, of course, a font that provides the glyphs for the Greek alphabet% } \newcommand{\niceframemessage}[1]{% The \pkgname{niceframe} package can be used to typeset decorative frames using fonts such as #1% } \newcommand{\tikzsymbolsaregraphics}{% All \TIKZSYM\ symbols are implemented with \TikZ\ graphics, not with a font% } % Define an environment in which to write a single table of symbols. The % environment looks a lot like a table, but it doesn't float, and it gets % an entry in the table of contents as opposed to the list of tables. % % The first argument is a conditional. The table will appear only if % the value of the conditional is true. The second argument is the % table's caption. \makeatletter \def\fnum@table{\textsc{\tablename}~\thetable} \newlength{\normalparindent} % minipage zeroes out \parindent. \AtBeginDocument{\setlength{\normalparindent}{\parindent}} \newenvironment{symtable}[2][true]{% \expandafter\global\expandafter\let% \expandafter\ifshowsymtable\csname if#1\endcsname \ifshowsymtable \noindent \begin{minipage}[t]{\linewidth} % Prevent page breaks. \begin{center} \refstepcounter{table}% \phantomsection \addcontentsline{toc}{subsection}{% \protect\numberline{\tablename~\thetable:}{#2}}% \@makecaption{\fnum@table}{#2}\medskip \let\next=\relax \else % The following was taken verbatim from verbatim.sty. \let\do\@makeother\dospecials\catcode`\^^M\active \let\verbatim@startline\relax \let\verbatim@addtoline\@gobble \let\verbatim@processline\relax \let\verbatim@finish\relax \let\next=\verbatim@ \fi \next }{% \ifshowsymtable \end{center} \end{minipage} \vskip 8ex minus 2ex \fi } \makeatother % Same as the above, but allows page breaks. \makeatletter \newenvironment{longsymtable}[2][true]{% \expandafter\global\expandafter\let \expandafter\ifshowsymtable\csname if#1\endcsname \ifshowsymtable \mbox{}% \Needspace*{13\baselineskip}% \mbox{}% \begin{center}% \phantomsection \refstepcounter{table}% % % Inhibit longtable's implicit increment of the table counter. \let\refstepcounter=\@gobble \let\LT@array=\origLT@array \let\LT@start=\origLT@start % \addcontentsline{toc}{subsection}{% \protect\numberline{\tablename~\thetable:}{#2}}% \@makecaption{\fnum@table}{#2}% \gdef\lt@indexed{}% \let\next=\relax \else % The following was taken verbatim from verbatim.sty. \let\do\@makeother\dospecials\catcode`\^^M\active \let\verbatim@startline\relax \let\verbatim@addtoline\@gobble \let\verbatim@processline\relax \let\verbatim@finish\relax \let\next=\verbatim@ \fi \next }{% \ifshowsymtable \end{center} \let\@elt=\index\lt@indexed % Close our index ranges. \gdef\lt@indexed{}% \vskip 8ex minus 2ex \fi } \makeatother % Define \index-like commands for use with longsymtable that % automatically apply to the entire table, not just the start of it. \makeatletter \newcommand{\ltindex}[1]{% \index{#1|(}% \@cons{\lt@indexed}{{#1|)}}% } \newcommand{\ltidxboth}[2]{\ltindex{#1 #2}\ltindex{#2>#1}} \makeatother % Define a table environment that's similar to symtable except that it % floats and it doesn't write an entry into the Table of Contents. This % is used for tables that contain something other than symbol lists. \newenvironment{nonsymtable}[1]{% \begin{table}[htbp] \centering \caption{#1}\medskip }{% \end{table} } % Do the same as the above, but typeset the table in landscape mode (or % not, if we haven't loaded the rotating package). \ifhaverotating \newenvironment{nonsymtableL}[1]{% \begin{sidewaystable}[htbp] \centering \caption{#1}\medskip }{% \end{sidewaystable} } \else \newenvironment{nonsymtableL}{\begin{nonsymtable}}{\end{nonsymtable}} \fi % Define a table environment that's just like nonsymtable except that % it allows page breaks. \makeatletter \newenvironment{longnonsymtable}[1]{% \centering \refstepcounter{table}% \@makecaption{\fnum@table}{#1}% }{% } \makeatother % Define a macro that alters the width of the subsection number in the % table of contents for all subsequent entries. This is needed because % "real" subsections should use the width of "9.9" as the width of their % label while "table" subsections should use the width of "Table 999:" % for their label. Currently, no section mixes "real" and "table" % subsections. \makeatletter \newcommand{\toclabelwidth}{3em} \renewcommand{\numberline}[1]{\hb@xt@\toclabelwidth{#1\hfil}} \newcommand{\setsectionlabelwidth}[1]{% \settowidth{\@tempdimc}{#1}% \addtocontents{toc}{% {\catcode`\string\!=6 \gdef\string\numberline!1{% \string\hb@xt@\the\@tempdimc{!1\hfil}}}% }% } \makeatother \newcommand{\tablesubsections}{% \setsectionlabelwidth{Table~999:\hspace*{0.75em}}} \newcommand{\realsubsections}{% \setsectionlabelwidth{9.9\quad}} \newcommand{\realsections}{% \setsectionlabelwidth{\textbf{9\quad}}} % Paragraphs with tall symbols should get a little extra interline spacing. \newenvironment{morespacing}[1]{\advance\baselineskip by #1\relax}{\par} % Sometimes, we need a little more horizontal spacing, too. \newcommand{\qqquad}{\qquad\quad} % The following are needed later on for various examples. \ifAMS \DeclareMathOperator{\newlogsym}{newlogsym} \DeclareMathOperator*{\newlogsymSTAR}{newlogsym} \DeclareMathOperator{\atan}{atan} \DeclareMathOperator*{\lcm}{lcm} \DeclareMathOperator*{\plim}{plim} \fi \DeclareFontFamily{U}{lightbulb}{} \DeclareFontShape{U}{lightbulb}{m}{n}{<-> lightbulb10}{} \newcommand{\lightbulb}{{\usefont{U}{lightbulb}{m}{n}A}} \newcommand{\closure}[2][3]{{}\mkern#1mu\overline{\mkern-#1mu#2}} % I prefer \vpageref to say "on the previous page" than its default message. \def\reftextbefore{on the previous page} % Use Donald Arseneau's improved float parameters. \renewcommand{\topfraction}{.85} \renewcommand{\bottomfraction}{.7} \renewcommand{\textfraction}{.15} \renewcommand{\floatpagefraction}{.66} \renewcommand{\dbltopfraction}{.66} \renewcommand{\dblfloatpagefraction}{.66} \setcounter{topnumber}{9} \setcounter{bottomnumber}{9} \setcounter{totalnumber}{20} \setcounter{dbltopnumber}{9} % Tell pdfLaTeX that all .eps files were produced by MetaPost. \ifpdf \DeclareGraphicsExtensions{.png,.pdf,.jpg,.mps,.tif,.eps} \DeclareGraphicsRule{.eps}{mps}{*}{} \fi % Define a metavariable for "operating-system prompt". \newcommand{\osprompt}{\textrm{\textit{prompt}}{\small$>$}\xspace} % Typeset small, superscripted registered trademarks. \newcommand{\regtm}{\textsuperscript{\textregistered}\xspace} % Define an environment for typesetting code samples. \newsavebox{\codebox} \newenvironment{codesample}{% \begin{lrbox}{\codebox}% \begin{minipage}{0.9\linewidth}% }{% \end{minipage}% \end{lrbox}% \fbox{\usebox{\codebox}}% } % Store copies of some of longtable's internal macros before hyperref % redefines them. \makeatletter \let\origLT@array=\LT@array \let\origLT@start=\LT@start \makeatother % The hyperref package should be loaded last because it redefines various % internal LaTeX macros. \IfStyFileExists*{hyperref} {\usepackage{hyperref} \pdfstringdefDisableCommands{% \def\AmS{AMS}% \def\Chinasym{china2e}% \def\lilylogo{lilyglyphs}% \def\pkgname{}% % hyperref can't handle fragile commands here; .out file must be postprocessed. } \AtBeginDocument{% \hypersetup{% pdftitle={The \doctitle}, pdfauthor={Scott Pakin}, pdfsubject={List of \prevtotalsymbols\ symbols that can be typeset using LaTeX}, pdfkeywords={LaTeX, symbols, glyphs, characters, fonts, typesetting, macros, commands, accents, phonetics, mathematics, operators, arrows, harpoons, astronomy, dingbats, geometry}, baseurl={http://mirror.ctan.org/info/symbols/comprehensive/} } } } {\let\phantomsection=\relax \newcommand{\href}[2]{##2} } % If we have the hyperxmp package, use it to include additional metadata. \IfStyFileExists*{hyperxmp} {\usepackage{hyperxmp} \hypersetup{% pdfcaptionwriter={Scott Pakin}, pdfcontactemail={scott+clsl@pakin.org}, pdfcontacturl={http://www.pakin.org/\xmptilde scott/}, pdfcopyright={Copyright (C) 2007-\the\year, Scott Pakin}, pdflicenseurl={http://www.latex-project.org/lppl/}, pdfversionid={13.0}, pdflang={en-US}, pdfmetalang={en-US} } } {} % Enable the use of our symbols.ist index style. % Some of the following definitions are swiped from doc.dtx (for gind.ist). \makeatletter \def\efill{\hfill\nopagebreak}% \def\dotfill{\leaders\hbox to.6em{\hss .\hss}\hskip\z@ plus 1fill}% \def\dotfil{\leaders\hbox to.6em{\hss .\hss}\hfil}% \def\pfill{\unskip~\dotfill\penalty500\strut\nobreak \dotfil~\ignorespaces}% \@ifundefined{pdfbookmark}{\def\pdfbookmark[#1]#2#3{}}{} \newcommand{\indexheading}[1]{% \pdfbookmark[2]{#1}{indexheading.#1}% {\centering\bfseries#1\nopagebreak\par}% } \makeatother % Don't number subsubsections or include them in the Table of Contents. \setcounter{secnumdepth}{2} \setcounter{tocdepth}{2} % Include "Figure", "Table", and "Section" within hyperlinks. \labelformat{figure}{Figure~#1} \labelformat{table}{Table~#1} \labelformat{section}{Section~#1} \labelformat{subsection}{Section~#1} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{document} \sloppy \usefont{OT1}{cmr}{m}{n}\selectfont \maketitle \begin{abstract} This document lists \approxcount\prevtotalsymbols{} symbols and the corresponding \latex{} commands that produce them. Some of these symbols are guaranteed to be available in every \latexE{} system; others require fonts and packages that may not accompany a given distribution and that therefore need to be installed. All of the fonts and packages used to prepare this document---as well as this document itself---are freely available from the \CTANfull (\url{http://www.ctan.org/}). \end{abstract} % Typeset a table of contents, temporarily disabling nested hyperlinks % caused by hyperlinked package names appearing within hyperlinked table % names. \begingroup \def\pkgnameopts{nolink,index=false} \tableofcontents \endgroup % Now that we've output the table of contents, let's make \section start a % new page. I toyed with the idea of changing the documentclass from % article to report, but I like having the abstract on the same page as % the title and the start of the table of contents; I want the tables % numbered consecutively throughout the document; and I like the smaller, % less gaudy section headings the article class offers. In short, article % seems a better fit than report. \makeatletter \let\origsection=\section \renewcommand\section{% \@startsection {section}{1}{\z@}% {-3.5ex \@plus -1ex \@minus -.2ex}% {2.3ex \@plus.2ex}% {\realsections \clearpage \phantomsection \normalfont\Large\bfseries}% } \makeatother % Define an integral containing a dash or a double-dash. \def\Xint#1{\mathchoice {\XXint\displaystyle\textstyle{#1}}% {\XXint\textstyle\scriptstyle{#1}}% {\XXint\scriptstyle\scriptscriptstyle{#1}}% {\XXint\scriptscriptstyle\scriptscriptstyle{#1}}% \!\int} \def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$} \vcenter{\hbox{$#2#3$}}\kern-.5\wd0}} \def\ddashint{\Xint=} \def\dashint{\Xint-} % Many symbols are merely alphanumerics typeset with a math alphabet. % Guide the user from the most common of these to the Math Alphabets % table. % % QUESTION: How standard are the following? % * action (script A) % * Bernoulli (script B) % * path integral measure (script D) % * domain (script D) % * expected value (script E) % * energy per symbol [communications theory] (script E) % * imaginary line (script I) % * identity matrix (blackboard bold I) % * likelihood (script L) % * M matrix (script M) % * null space (script N) % * order of (script o) % * radius (script r) % * real line (script R) % * Schwartz class (script S) % * volume (script V) % * everything listed at http://en.wikipedia.org/wiki/Blackboard_bold % \ifcomplete \makeatletter \newcommand{\indexMA}[2][]{% \def\first@arg{#1}% \ifx\first@arg\@empty \index{#2|see{alphabets, math}}% \else \index{#2=#2 (\string#1)|see{alphabets, math}}% \fi } \makeatother \else \newcommand{\indexMA}[2][]{% \index{#2|see{alphabets, math}}% } \fi \DeclareRobustCommand{\AMSmcal}[1]{\ensuremath{\CMcal{#1}}} \indexMA[\mathbbm{1}]{unity} \indexMA[\mathbbm{A}]{adeles} \indexMA[\mathbbm{B}]{Boolean domain} \indexMA[\mathbbm{C}]{complex numbers} \indexMA[\mathbbm{D}]{open unit disk} \indexMA[\mathbbm{D}]{unit disk} \ifEMF \else \indexMA[\mathscr{E}]{electromotive force} \fi \indexMA[\mathbbm{F}]{field} \indexMA[\mathbbm{F}]{finite field} \indexMA[\mathscr{F}]{Fourier transform} \indexMA[\mathscr{H}]{Hamiltonian} \indexMA[\mathscr{H}]{Hilbert space} \indexMA[\mathbbm{H}]{quaternions} \indexMA[\mathbbm{J}]{irrational numbers} \indexMA[\mathscr{L}]{Lagrangian} \indexMA[\mathscr{L}]{Laplace transform} \indexMA[\mathscr{L}]{Lefschetz motive} \indexMA[\AMSmcal{L}]{Lie derivative} \indexMA[\AMSmcal{M}]{Mellin transform} \indexMA[\mathbbm{M}]{Minkowski space} \indexMA[\mathbbm{N}]{natural numbers} \indexMA[\AMSmcal{O}]{big O} \indexMA[\AMSmcal{O}]{local ring} \indexMA[\mathbbm{O}]{octonions} \indexMA[\mathbbm{P}]{projective space} \indexMA[\mathbbm{Q}]{rational numbers} \indexMA[\mathbbm{R}]{real numbers} \indexMA[\mathbbm{S}]{sedenions} \indexMA[\mathbbm{T}]{torus} \indexMA[\mathbbm{Z}]{integers} %\indexMA{imaginary numbers} %\indexMA{prime numbers} \indexMA{blackboard bold} \indexMA{fraktur} \indexMA{moduli space} \indexMA{null infinity} \indexMA{number sets} \indexMA{power set} \indexMA{Schwartz distribution spaces} \indexMA{script letters} % Provide "see ..."s for every accent whose name I happen to know. \index{acute=acute (\blackacchack\')|see{accents}} \index{arc=arc (\blackacchack\newtie)|see{accents}} \index{breve=breve (\blackacchack\u)|see{accents}} \index{caron=caron (\blackacchack\v)|see{accents}} \index{cedilla=cedilla (\blackacc\c)|see{accents}} \index{circumflex=circumflex (\blackacchack\^)|see{accents}} \ifCBEL \index{comma-below accent=comma-below accent (\blackacchack\cb)|see{accents}} \fi % CBEL test \index{diaeresis=di\ae{}resis (\blackacchack\")|see{accents}} \index{dot accent=dot accent (\blackacchack\. or \blackacc\d)|see{accents}} \index{double acute=double acute (\blackacchack\H)|see{accents}} \index{grave=grave (\blackacchack\`)|see{accents}} \index{hacek=h\'{a}\v{c}ek (\blackacchack\v)|see{accents}} \ifVIET \index{hook accent=hook accent (\encfive{\blackacchack\h})|see{accents}} \fi % VIET test \index{Hungarian umlaut=Hungarian umlaut (\blackacchack\H)|see{accents}} \index{krouzek=krou\v{z}ek (\blackacchack\r)|see{accents}} \DeclareRobustCommand{\showmacron}{\blackacchack\=} % Can't index "=". \index{macron=macron (\showmacron)|see{accents}} \index{ogonek=ogonek (\encone{\blackacc\k})|see{accents}} \index{ring=ring (\blackacchack\r)|see{accents}} \ifCBEL \index{Romanian comma-belo accent=Romanian comma-belo accent (\blackacchack\cb)|see{accents}} \fi % CBEL test \index{trema=trema (\blackacchack\")|see{accents}} \index{umlaut=umlaut (\blackacchack\")|see{accents}} % Provide references for alternate accent names listed under "accents". \index{accents>hacek=h\'{a}\v{c}ek|see{accents, caron}} \index{accents>Hungarian umlaut|see{accents, double acute}} \index{accents>krouzek=krou\v{z}ek|see{accents, ring}} \index{accents>Romanian comma-belo accent|see{accents, comma-below}} \index{accents>trema|see{accents, di\ae{}resis}} \index{accents>umlaut|see{accents, di\ae{}resis}} % Provide "see ..."s for various logical and set operators. \index{logical operators>and|see{\texttt{\string\wedge}}} \index{logical operators>or|see{\texttt{\string\vee}}} \index{logical operators>not|see{\texttt{\string\neg} \emph{and} \texttt{\string\sim}}} \index{operators>logical|see{logical operators}} \index{and|see{\texttt{\string\wedge}}} \index{or|see{\texttt{\string\vee}}} \index{not|see{\texttt{\string\neg}}} \index{conjunction, logical|see{\texttt{\string\wedge} \emph{and} \texttt{\string\&}}} \index{disjunction|see{\texttt{\string\vee}}} \index{negation|see{\texttt{\string\neg} \emph{and} \texttt{\string\sim}}} \index{set operators>union|see{\texttt{\string\cup}}} \index{set operators>intersection|see{\texttt{\string\cap}}} \index{set operators>membership|see{\texttt{\string\in}}} \index{operators>set|see{set operators}} \index{union|see{\texttt{\string\cup}}} \index{intersection|see{\texttt{\string\cap}}} \index{membership|see{\texttt{\string\in}}} \index{element of|see{\texttt{\string\in}}} \index{tautology|see{\texttt{\string\top}}} \index{alternative denial|see{\texttt{\string\uparrow} \emph{and} \magicvertname}} \index{joint denial|see{\texttt{\string\downarrow}}} \index{material implication|see{\texttt{\string\rightarrow} \emph{and} \texttt{\string\supset}}} \index{material equivalence|see{\texttt{\string\leftrightarrow} \emph{and} \texttt{\string\equiv}}} \index{material conditional|see{\texttt{\string\rightarrow} \emph{and} \texttt{\string\supset}}} \index{material biconditional|see{\texttt{\string\leftrightarrow} \emph{and} \texttt{\string\equiv}}} \index{converse implication|see{\texttt{\string\leftarrow} \emph{and} \texttt{\string\subset}}} \index{biconditional|see{\texttt{\string\leftrightarrow} \emph{and} \texttt{\string\equiv}}} \index{interior|see{\texttt{\string\mathring}}} \index{set interior|see{\texttt{\string\mathring}}} \ifcomplete \index{material nonimplication|see{\texttt{\string\nrightarrow} \emph{and} \texttt{\string\nsupset}}} \index{converse nonimplication|see{\texttt{\string\nleftarrow} \emph{and} \texttt{\string\nsubset}}} \index{exclusive disjunction|see{\texttt{\string\nleftrightarrow} \texttt{\string\nequiv}, \emph{and} \texttt{\string\oplus}}} \index{par|see{\texttt{\string\bindnasrepma}, \texttt{\string\invamp}, and \texttt{\string\parr}}} \index{multiplicative disjunction|see{\texttt{\string\bindnasrepma}, \texttt{\string\invamp}, and \texttt{\string\parr}}} \fi % complete test % Provide "see ..."s for various punctuation marks. \index{paragraph mark|see{\texttt{\string\P}}} \index{pilcrow|see{\texttt{\string\P}}} \index{percent sign|see{\texttt{\string\%}}} \index{dollar sign|see{\texttt{\string\$}}} \index{cents|see{\texttt{\string\textcent}}} \index{hash mark|see{\texttt{\string\#} \textit{and} \texttt{\string\hash}}} \index{ampersand|see{\texttt{\string\&}}} \index{section mark|see{\texttt{\string\S}}} \index{caret|see{\texttt{\string\^}}} \index{swung dash|see{\texttt{\string\sim}}} \index{underscore|see{underline}} \index{less-than signs|see{inequalities}} \index{greater-than signs|see{inequalities}} \index{plus-or-minus sign|see{\texttt{\string\pm}}} \index{space>visible|see{\texttt{\string\textvisiblespace}}} \index{twiddle|see{tilde}} \index{falsum|see{\texttt{\string\bot}}} % Provide "see ..."s for various musical terms. \index{quaver|see{musical symbols}} \index{semiquaver|see{musical symbols}} \index{demisemiquaver|see{musical symbols}} \index{semibreve|see{musical symbols}} \index{minim|see{musical symbols}} \index{crotchet|see{musical symbols}} \index{whole note|see{musical symbols}} \index{half note|see{musical symbols}} \index{quarter note|see{musical symbols}} \index{eighth note|see{musical symbols}} \index{sixteenth note|see{musical symbols}} \index{thirty-second note|see{musical symbols}} \index{accidentals|see{musical symbols}} \index{rests|see{musical symbols}} \index{articulations|see{musical symbols}} \ifMSX \index{punctum|see{\textsf{musixgre}}} \index{virga|see{\textsf{musixgre}}} \index{apostropha|see{\textsf{musixgre}}} \index{oriscus|see{\textsf{musixgre}}} \index{quilisma|see{\textsf{musixgre}}} \index{deminutum|see{\textsf{musixgre}}} \fi % MSX test % Provide a number of other useful "see ..."s. \index{diamonds|see{rhombuses}} \index{lozenges|see{rhombuses}} \index{CTAN|see{Comprehensive \TeX{} Archive Network}} \index{letters|see{alphabets}} \index{digits|see{numerals}} \index{numbers|see{numerals}} \index{degrees|see{\texttt{\string\textdegree}}} \index{Cedi|see{\texttt{\string\textcolonmonetary}}} \index{iff=\texttt{\string\iff}|see{\texttt{\string\Longleftrightarrow}}} \index{derivitive, partial|see{\texttt{\string\partial}}} \index{to=\texttt{\string\to}|see{\texttt{\string\rightarrow}}} \index{adjoint=adjoint (\dag)|see{\texttt{\string\dag}}} \index{Cartesian product|see{\texttt{\string\times}}} \index{tick|see{check marks}} \index{supremum|see{\texttt{\string\sup}}} \ifAMS \index{implies=\texttt{\string\implies}|see{\texttt{\string\Longrightarrow} \emph{and} \texttt{\string\vdash}}} \index{impliedby=\texttt{\string\impliedby}|see{\texttt{\string\Longleftarrow}}} \index{division times|see{\texttt{\string\divideontimes}}} \index{does not exist|see{\texttt{\string\nexists}}} \index{ring equal to|see{\texttt{\string\circeq}}} \index{ring in equal to|see{\texttt{\string\eqcirc}}} \index{does not divide|see{\texttt{\string\nmid}}} \index{transversal intersection|see{\texttt{\string\pitchfork}}} \index{absolute value|see{\texttt{\string\lvert} \emph{and} \texttt{\string\rvert}}} \index{norm|see{\texttt{\string\lVert} \emph{and} \texttt{\string\rVert}}} % \index{average|see{\texttt{\string\varnothing}}} \index{inverse limit|see{\texttt{\string\varprojlim}}} \index{proper subset/superset|see{\texttt{\string\subsetneq}\slash\texttt{\string\supsetneq}}} \index{probability limit=probability limit ($\displaystyle\plim_{n \to \infty}$)|see{\texttt{\string\DeclareMathOperator}}} \fi % AMS test \ifTIPA % \index{symbols>dictionary|see{symbols, phonetic}} % \index{dictionary symbols|see{phonetic symbols}} \index{pronunciation symbols|see{phonetic symbols}} \fi % TIPA test \index{abzuglich=abz\"uglich|see{\texttt{\string\textdiscount}}} \index{diacritics|see{accents}} \index{parts per thousand|see{\texttt{\string\textperthousand}}} \index{thousandths|see{\texttt{\string\textperthousand}}} \index{millesimal sign|see{\texttt{\string\textperthousand}}} \index{prescription|see{\texttt{\string\textrecipe}}} \index{pharmaceutical prescription|see{\texttt{\string\textrecipe}}} \index{cross ratio|see{\texttt{\string\textrecipe}}} \ifMARV \index{Deleatur=\texttt{\string\Deleatur}|see{\texttt{\string\Denarius}}} \index{mouse|see{\texttt{\string\ComputerMouse}}} \fi % MARV test %\index{playing cards|see{card suits}} \ifABX \index{nibar=\texttt{\string\nibar}|see{\texttt{\string\ownsbar}}} \index{ring equal to|see{\texttt{\string\circeq}}} \index{ring in equal to|see{\texttt{\string\eqcirc}}} \index{cutoff subtraction|see{\texttt{\string\dotdiv}}} \index{monus|see{\texttt{\string\dotdiv}}} \index{lsemantic=\texttt{\string\lsemantic}|see{\texttt{\string\ldbrack}}} \index{rsemantic=\texttt{\string\rsemantic}|see{\texttt{\string\rdbrack}}} \fi % ABX test \index{rationalized Planck constant|see{\texttt{\string\hbar}}} \index{options|see{package options}} \index{cardinality|see{\texttt{\string\aleph}}} \index{wreath product|see{\texttt{\string\wr}}} \index{reverse solidus|see{\texttt{\string\textbackslash}}} \index{radicals|see{\texttt{\string\sqrt} \emph{and} \texttt{\string\surd}}} \index{roots|see{\texttt{\string\sqrt}}} \index{square root|see{\texttt{\string\sqrt}}} \index{square root>hooked|see{\texttt{\string\hksqrt}}} \index{cube root|see{\texttt{\string\sqrt}}} \ifcomplete \index{return|see{carriage return}} \index{heads|see{faces}} \index{people|see{faces}} \fi \ifTX \index{fish hook|see{\texttt{\string\strictif}}} \index{gaffing hook|see{\texttt{\string\strictif}}} \index{strict implication|see{\texttt{\string\strictif}}} \fi % TX test \index{stochastic independence|see{\texttt{\string\bot}}} \index{independence>stochastic|see{\texttt{\string\bot}}} \index{orthogonal to|see{\texttt{\string\bot}}} \index{entails|see{\texttt{\string\models}}} \index{satisfies|see{\texttt{\string\models}}} \index{micro|see{\texttt{\string\textmu}}} \index{Angstrom unit=\AA{}ngstr\"om unit>math mode|see{\texttt{\string\mathring}}} \index{Angstrom unit=\AA{}ngstr\"om unit>text mode|see{\texttt{\string\AA}}} \index{yen|see{\texttt{\string\textyen}}} \index{equilibrium|see{\texttt{\string\rightleftharpoons}}} \index{number sign|see{\texttt{\string\textnumero}}} \index{ditto marks|see{\texttt{\string\textquotedbl}}} \index{Weierstrass p function=Weierstrass $\wp$ function|see{\texttt{\string\wp}}} \index{inexact differential|see{\texttt{\string\dbar}}} \ifhaveslashed \index{reduced quadrupole moment|see{\texttt{\string\rqm}}} \fi % haveslashed \ifST \index{banana brackets|see{\texttt{\string\llparenthesis} \emph{and} \texttt{\string\rrparenthesis}}} \index{catamorphism|see{\texttt{\string\llparenthesis} \emph{and} \texttt{\string\rrparenthesis}}} \fi % ST test \ifOTII \index{impulse train|see{sha}} \index{Tate-Shafarevich group|see{sha}} \fi \index{differential, inexact|see{\texttt{\string\dbar}}} \index{brackets|see{delimiters}} \ifcomplete \index{equivalence|see{\texttt{\string\equiv}, \texttt{\string\leftrightarrow}, \emph{and} \texttt{\string\threesim}}} \else \index{equivalence|see{\texttt{\string\equiv} \emph{and} \texttt{\string\leftrightarrow}}} \fi \index{vinculum|see{\texttt{\string\overline}}} \index{es-zet|see{\texttt{\string\ss}}} \index{Maxwell-Stefan diffusion coefficient|see{\texttt{\string\DH}}} \index{Laplacian=Laplacian ($\nabla^2$)|see{\texttt{\string\nabla}}} \index{Laplacian=Laplacian ($\Delta$)|see{\texttt{\string\Delta}}} %\index{infinity=infinity ($\infty$)|see{\texttt{\string\infty}}} %\ifx\BBmathbb\undefined\else % \index{double summation=double summation ({\usefont{U}{bbold}{m}{n}\char"06})|see{alphabets, math}} % \index{summation, double=summation, double ({\usefont{U}{bbold}{m}{n}\char"06})|see{alphabets, math}} %\fi \index{evaluated at|see{\texttt{\string\vert}}} \index{CP1252|see{code page 1252}} \index{CP437|see{code page 437}} \ifSIMP \index{nuclear power plant|see{\texttt{\string\SNPP}}} \fi % SIMP test \ifcomplete % Really only needs to be ARK or DING or PI. \index{hands|see{fists}} \index{printer's fist|see{fists}} \index{pointing finger|see{fists}} \index{finger, pointing|see{fists}} \fi % complete test \index{tensor product|see{\texttt{\string\otimes}}} \index{Kronecker product|see{\texttt{\string\otimes}}} \index{Kronecker sum|see{\texttt{\string\oplus}}} \index{ring sum|see{\texttt{\string\oplus}}} \ifFOUR \index{do not enter|see{\texttt{\string\noway}}} \index{no entry|see{\texttt{\string\noway}}} \fi % FOUR test \index{congruent|see{\texttt{\string\equiv}}} \index{centigrade|see{\texttt{\string\textcelsius}}} \index{greatest lower bound|see{\texttt{\string\sqcap}}} \index{infimum|see{\texttt{\string\inf} \emph{and} \texttt{\string\sqcap}}} \index{printer's flowers|see{fleurons \emph{and} flowers}} \ifcomplete % Really only needs to be CHINA or MARV. \index{Green Dot|see{\texttt{\string\Greenpoint} \emph{and} \texttt{\string\PackingWaste}}} \index{Grune Punkt=Gr\"une Punkt|see{\texttt{\string\Greenpoint} \emph{and} \texttt{\string\PackingWaste}}} \fi \index{minus, double-dotted=minus, double-dotted ($\div$)|see{\texttt{\string\div}}} \ifcomplete % Really only needs to be AMS or ABX or MNS or FDSYM \index{Quine corners=Quine corners ($\ulcorner$\graybox$\urcorner$)|see{\texttt{\string\ulcorner} \emph{and} \texttt{\string\urcorner}}} \index{quasi-quotation marks=quasi-quotation marks ($\ulcorner$\graybox$\urcorner$)|see{\texttt{\string\ulcorner} \emph{and} \texttt{\string\urcorner}}} \fi \ifMNS \ifFDSYM \index{Descartes's equal sign=Descartes's equal sign (\FDSYMbackpropto)|see{\texttt{\string\rightpropto} \emph{and} \texttt{\string\backpropto}}} \fi % FDSYM test \fi % MNS test \ifSTIX \index{d'Alembert operator|see{\texttt{\string\laplac}}} \fi \ifcomplete % Really, any of a number of math packages % The following are derived from the multiobjective package's definitions. \index{dominance|see{\texttt{\string\prec}}} \index{dominance>negative|see{\texttt{\string\nprec}}} \index{dominance>weak|see{\texttt{\string\preccurlyeq}}} \index{dominance>negative weak|see{\texttt{\string\npreccurlyeq}}} \index{dominance>strict|see{\texttt{\string\Prec}}} % \index{dominance>negative strict|see{\texttt{\string\Prec}}} % Doesn't exist? \index{better|see{\texttt{\string\triangleleft}}} \fi % complete test \ifARUNE \index{long-branch runes|see{normal runes}} \index{Danish runes|see{normal runes}} \index{Swedo-Norwegian runes|see{short-twig runes}} \index{H\"alsinge runes|see{staveless runes}} % \index{runes>long-branch|see{normal runes}} \index{runes>Danish|see{normal runes}} \index{runes>Swedo-Norwegian|see{short-twig runes}} \index{runes>H\"alsinge|see{staveless runes}} \fi % ARUNE test \index{guillemotleft=\texttt{\string\guillemotleft}|see{\texttt{\string\guillemetleft}}} \index{guillemotright=\texttt{\string\guillemotright}|see{\texttt{\string\guillemetright}}} \ifWASY \index{tailed z|see{\texttt{\string\roundz}}} \index{ezh|see{\texttt{\string\roundz}}} \fi % Multiple packages define \multimap. \makeatletter \@ifundefined{multimap}{}{% \index{linear implication|see{\texttt{\string\string\string\multimap}}} \index{lollipop|see{\texttt{\string\string\string\multimap}}}} \makeatother % Minutes/seconds and feet/inches are normally formed with superscripted % primes. \index{arcminutes|see{\texttt{\string\prime}}} \index{angular minutes|see{\texttt{\string\prime}}} \index{minutes, angular|see{\texttt{\string\prime}}} \index{feet|see{\texttt{\string\prime} \emph{and} \texttt{\string\textquotesingle}}} \ifABX \index{arcseconds|see{\texttt{\string\second}}} \index{angular seconds|see{\texttt{\string\second}}} \index{seconds, angular|see{\texttt{\string\second}}} \index{inches|see{\texttt{\string\second} \emph{and} \texttt{\string\textquotedbl}}} \else \index{arcseconds|see{\texttt{\string\prime}}} \index{angular seconds|see{\texttt{\string\prime}}} \index{seconds, angular|see{\texttt{\string\prime}}} \index{inches|see{\texttt{\string\prime} \emph{and} \texttt{\string\textquotedbl}}} \fi % \notowns can be mapped to various things depending on package availability. \ifABX \ifTX \index{notowns=\texttt{\string\notowns}|see{\texttt{\string\notowner} \emph{and} \texttt{\string\notni}}} \else \index{notowns=\texttt{\string\notowns}|see{\texttt{\string\notowner}}} \fi \else \ifTX \index{notowns=\texttt{\string\notowns}|see{\texttt{\string\notni}}} \fi \fi % The following were generated automatically from txfonts.sty. \ifTX \index{circledplus=\texttt{\string\circledplus}|see{\texttt{\string\oplus}}} \index{circledminus=\texttt{\string\circledminus}|see{\texttt{\string\ominus}}} \index{circledtimes=\texttt{\string\circledtimes}|see{\texttt{\string\otimes}}} \index{circledslash=\texttt{\string\circledslash}|see{\texttt{\string\oslash}}} \index{circleddot=\texttt{\string\circleddot}|see{\texttt{\string\odot}}} \index{le=\texttt{\string\le}|see{\texttt{\string\leq}}} \index{ge=\texttt{\string\ge}|see{\texttt{\string\geq}}} \index{gets=\texttt{\string\gets}|see{\texttt{\string\leftarrow}}} \index{to=\texttt{\string\to}|see{\texttt{\string\rightarrow}}} \index{owns=\texttt{\string\owns}|see{\texttt{\string\ni}}} \index{lnot=\texttt{\string\lnot}|see{\texttt{\string\neg}}} \index{land=\texttt{\string\land}|see{\texttt{\string\wedge}}} \index{lor=\texttt{\string\lor}|see{\texttt{\string\vee}}} %\index{restriction=\texttt{\string\restriction}|see{\texttt{\string\upharpoonright}}} \index{Doteq=\texttt{\string\Doteq}|see{\texttt{\string\doteqdot}}} \index{doublecup=\texttt{\string\doublecup}|see{\texttt{\string\Cup}}} \index{doublecap=\texttt{\string\doublecap}|see{\texttt{\string\Cap}}} \index{llless=\texttt{\string\llless}|see{\texttt{\string\lll}}} \index{gggtr=\texttt{\string\gggtr}|see{\texttt{\string\ggg}}} %\index{Box=\texttt{\string\Box}|see{\texttt{\string\square}}} \index{ne=\texttt{\string\ne}|see{\texttt{\string\neq}}} %\index{notowns=\texttt{\string\notowns}|see{\texttt{\string\notni}}} \index{lrJoin=\texttt{\string\lrJoin}|see{\texttt{\string\Join}}} %\index{bowtie=\texttt{\string\bowtie}|see{\texttt{\string\lrtimes}}} \index{dasharrow=\texttt{\string\dasharrow}|see{\texttt{\string\dashrightarrow}}} \index{circledotright=\texttt{\string\circledotright}|see{\texttt{\string\circleddotright}}} \index{circledotleft=\texttt{\string\circledotleft}|see{\texttt{\string\circleddotleft}}} \fi % TX test % The following were generated semi-automatically from SYMLIST using: % egrep '\text' SYMLIST | sed 's/\\text//' | xargs -i egrep '^{}$' /usr/share/dict/words | xargs -i sh -c 'egrep -q "^\\\\{}$" SYMLIST || echo "\\index{{}|see{\\texttt{\\string\\text{}}}}"' \; % then editing the result. \index{blank|see{\texttt{\string\textblank}}} \index{born|see{\texttt{\string\textborn}}} \index{died|see{\texttt{\string\textdied}}} \index{discount|see{\texttt{\string\textdiscount}}} \index{divorced|see{\texttt{\string\textdivorced}}} \index{dollar|see{\texttt{\string\textdollar}}} %\index{ellipsis|see{\texttt{\string\textellipsis}}} \index{estimated|see{\texttt{\string\textestimated}}} \index{florin|see{\texttt{\string\textflorin}}} %\index{greater|see{\texttt{\string\textgreater}}} \index{leaf|see{\texttt{\string\textleaf}}} %\index{less|see{\texttt{\string\textless}}} \index{married|see{\texttt{\string\textmarried}}} \index{minus|see{\texttt{\string\textminus}}} \index{ohm|see{\texttt{\string\textohm}}} %\index{paragraph|see{\texttt{\string\textparagraph}}} \index{recipe|see{\texttt{\string\textrecipe}}} %\index{registered|see{\texttt{\string\textregistered}}} %\index{section|see{\texttt{\string\textsection}}} \index{sterling|see{\texttt{\string\pounds}}} %\index{style|see{\texttt{\string\textstyle}}} %\index{superscript|see{\texttt{\string\textsuperscript}}} %\index{underscore|see{\texttt{\string\textunderscore}}} \index{won|see{\texttt{\string\textwon}}} \ifTIPA \index{advancing|see{\texttt{\string\textadvancing}}} \index{bullseye|see{\texttt{\string\textbullseye}}} \index{lowering|see{\texttt{\string\textlowering}}} \index{pipe|see{\texttt{\string\textpipe}}} \index{raising|see{\texttt{\string\textraising}}} \index{retracting|see{\texttt{\string\textretracting}}} \index{seagull|see{\texttt{\string\textseagull}}} \fi % TIPA test %\index{swab|see{\texttt{\string\textswab}}} \section{Introduction} \realsubsections Welcome to the \doctitle! This document strives to be your primary source of \latex{} symbol information: font samples, \latex{} commands, packages, usage details, caveats---everything needed to put thousands of different symbols at your disposal. All of the fonts covered herein meet the following criteria: \begin{enumerate} \item They are freely available from the \CTANfull (\url{http://www.ctan.org/}). \item All of their symbols have \latexE{} bindings. That is, a user should be able to access a symbol by name (e.g.,~\cmdX{\bigtriangleup}) \end{enumerate} \noindent As of version~12 of the \doctitle, that second restriction has been relaxed with the inclusion of \ref{min-latex-support}, which showcases fonts that provide, at a minimum, either \tex\ font-metric files (\fileext{tfm}) or the \metafont\ sources (\fileext{mf}) that produce those font-metric files. Some of the \ref{min-latex-support} fonts do include \latex\ font-definition files (\fileext{fd}). However, what sets the fonts in \ref{min-latex-support} apart from the fonts in rest of the document is that they lack a \latex\ style file (\fileext{sty}) that individually names each of the glyphs. The restrictions listed above are not particularly limiting criteria; the \doctitle{} contains samples of \approxcount\prevtotalsymbols{} symbols---quite a large number. Some of these symbols are guaranteed to be available in every \latexE{} system; others require fonts and packages that may not accompany a given distribution and that therefore need to be installed. See \TeXFAQ{installthings} for help with installing new fonts and packages. \subsection{Document Usage} Each section of this document contains a number of font tables. Each table shows a set of symbols, with the corresponding \latex{} command to the right of each symbol. A table's caption indicates what package needs to be loaded in order to access that table's symbols. For example, the symbols in \ref{old-style-nums}, ``\TC\ Old-Style Numerals'', are made available by putting ``\cmd{\usepackage}\verb|{textcomp}|'' in your document's preamble. ``\AMS'' means to use the \AMS{} packages, viz.\ \pkgname{amssymb} and/or \pkgname{amsmath}. Notes below a table provide additional information about some or all the symbols in that table. One\label{altenc} note that appears a few times in this document, particularly in \ref{body-text-symbols}, indicates that certain symbols do not exist in the OT1 \fntenc[OT1] (Donald\index{Knuth, Donald E.} Knuth's original, 7-bit \fntenc[7-bit], which is the default \fntenc{} for \latex) and that you should use \pkgname{fontenc} to select a different encoding, such as T1 (a common 8-bit \fntenc[8-bit]\index{font encodings>T1}). That means that you should put ``\cmd{\usepackage}\verb|[|\meta{encoding}\verb|]{fontenc}|'' in your document's preamble, where \meta{encoding} is, e.g., \texttt{T1}\index{font encodings>T1} or \texttt{LY1}\index{font encodings>LY1}. To limit the change in \fntenc[limiting scope of] to the current group, use ``\cmd{\fontencoding}\verb|{|\meta{encoding}\verb|}|\cmd{\selectfont}''. \ref{addl-info} contains some additional information about the symbols in this document. It discusses how certain mathematical symbols can vary in height, shows which symbol names are not unique across packages, gives examples of how to create new symbols out of existing symbols, explains how symbols are spaced in math mode, compares various schemes for boldfacing symbols, presents \latex{} \ascii and Latin~1\index{Latin 1} tables, shows how to input and output Unicode\index{Unicode} characters, and provides some information about this document itself. The \doctitle{} ends with an index of all the symbols in the document and various additional useful terms. A companion document, \rawtables, also presents a large number of symbols but with a very different structure from this document. \rawtables\ includes only symbols produced via a font file, while this document also includes composite symbols (combinations of two or more glyphs) and symbols drawn as pictures (using, e.g., \TikZ)\@. This document sorts symbols by category while \rawtables\ sorts symbols by underlying font file. The two documents are intended to complement each other. It is usually easier to find a desired symbol in The Comprehensive \latex\ Symbol List, but \rawtables\ is helpful for identifying related symbols, for finding symbols that exist in some font but are not exposed to the user via a \latex\ package (or that this document inadvertently overlooked), and for the font name and character position needed to typeset a single symbol in isolation. The last of those is especially important for math symbols. \tex\ imposes a limitation of at most 16 math alphabets per document, but symbols typeset with \cmd{\font} and \cmd{\char} are text symbols and do not consume a math alphabet. (They are less convenient to use within a mathematical expression, however.) \ifcomplete \subsection{Frequently Requested Symbols} There are a number of symbols that are requested over and over again on \ctt. If you're looking for such a symbol the following list will help you find it quickly. \newenvironment{symbolfaq}{% \ifhavemulticol \setlength{\columnsep}{3em}% \begin{multicols}{2}% \fi \setlength{\parskip}{1ex}% \newcommand{\faq}[2]{% \noindent##1\quad\dotfill\quad\makebox[1em][r]{##2}\par}% }{% \ifhavemulticol \end{multicols}% \fi } \begin{symbolfaq} \faq{\textvisiblespace, as in ``Spaces\textvisiblespace are\textvisiblespace significant.''} {\pageref{text-predef}} \faq{\={\i}, \~{\i}, \H{\i}, \u{\i}, \v{\i}, etc.\ (versus \=i, \~i, \H{i}, \u{i}, and \v{i})} {\pageref{text-accents}} \faq{\textcent} {\pageref{tc-currency}} \faq{\EUR} {\pageref{marv-currency}} \faq{\textcopyright, \textregistered, and \texttrademark} {\pageref{tc-legal}} \faq{\textperthousand} {\pageref{tc-misc}} \faq{$\oiint$} {\pageref{txpx-large}} \faq{$\therefore$} {\pageref{ams-rel}} \faq{$\coloneqq$ and $\Coloneqq$} {\pageref{txpx-rel}} \faq{$\lesssim$ and $\gtrsim$} {\pageref{ams-inequal-rel}} \faq{$\MDOTSiddots$} {\pageref{mathdots-dots}} \faq{\textdegree, as in ``180\textdegree'' or ``15\textcelsius''} {\pageref{tc-math}} \faq{\mathscr{L}, \mathscr{F}, etc.} {\pageref{alphabets}} \faq{\mathbbm{N}, \mathbbm{Z}, \mathbbm{R}, etc.} {\pageref{alphabets}} \faq{{\Large\textcalligra{r}}} {\pageref{alphabets}} \faq{$\dashint$} {\pageref{dashint}} \faq{\diatop[{\diatop[\'|\=]}|a], \diatop[{\diatop[\`|\^]}|e], etc. (i.e., several accents per character)} {\pageref{multiple-accents}} \faq{$<$, $>$, and $|$ (instead of <, >, and |)} {\pageref{upside-down}} \faq{\textasciicircum\ and \textasciitilde\ (or $\sim$)} {\pageref{page:tildes}} \end{symbolfaq} \fi % ifcomplete \section{Body-text symbols} \label{body-text-symbols} \idxbothbegin{body-text}{symbols} \tablesubsections This section lists symbols that are intended for use in running text, such as punctuation marks, accents, ligatures, and currency symbols. \bigskip \begin{symtable}{\latexE{} Escapable ``Special'' Characters} \index{special characters=``special'' characters} \index{escapable characters} \index{underline} \label{special-escapable} \begin{tabular}{*6{ll@{\qqquad}}ll} \K\$ & \K\% & \K\_$\,^*$ & \Kp\} & \K\& & \K\# & \Kp\{ \\ \end{tabular} \bigskip \begin{tablenote}[*] The \pkgname{underscore} package redefines ``\verb+_+'' to produce an underscore in text mode (i.e.,~it makes it unnecessary to escape the underscore character). \end{tablenote} \end{symtable} \begin{symtable}{Predefined \latexE{} Text-mode Commands} \index{inequalities} \index{tilde} \index{underline} \index{copyright} \idxboth{registered}{trademark} \index{trademark} \index{braces} \index{quotation marks} \idxboth{dot}{symbols} \index{dots (ellipses)} \index{ellipses (dots)} \idxboth{legal}{symbols} \label{text-predef} \begin{tabular}{lll@{\qqquad}lll} \Vl\textasciicircum$^*$ & \Vl\textless \\ \Vl\textasciitilde$^*$ & \V[\ltextordfeminine]\textordfeminine \\ \V[\ltextasteriskcentered]\textasteriskcentered & \V[\ltextordmasculine]\textordmasculine \\ \Vl\textbackslash & \V[\ltextparagraph]\textparagraph$^\dag$ \\ \Vl\textbar & \V[\ltextperiodcentered]\textperiodcentered \\ \V[\ltextbardbl]\textbardbl & \V[\ltextpertenthousand]{\textpertenthousand} \\ \V[\ltextbigcircle]{\textbigcircle} & \V[\ltextperthousand]{\textperthousand} \\ \Vl\textbraceleft$^\dag$ & \Vl\textquestiondown \\ \Vl\textbraceright$^\dag$ & \Vl\textquotedblleft \\ \V[\ltextbullet]\textbullet & \Vl\textquotedblright \\ \V[\ltextcopyright]\textcopyright$^\dag$ & \Vl\textquoteleft \\ \V[\ltextdagger]\textdagger$^\dag$ & \Vl\textquoteright \\ \V[\ltextdaggerdbl]\textdaggerdbl$^\dag$ & \V[\ltextregistered]\textregistered \\ \V[\ltextdollar]\textdollar$^\dag$ & \V[\ltextsection]\textsection$^\dag$ \\ \Vl\textellipsis$^\dag$ & \V[\ltextsterling]\textsterling$^\dag$ \\ \Vl\textemdash & \V[\ltexttrademark]\texttrademark \\ \Vl\textendash & \Vl\textunderscore$^\dag$ \\ \Vl\textexclamdown & \Vl\textvisiblespace \\ \Vl\textgreater & \\ \end{tabular} \bigskip \twosymbolmessage{, and some symbols additionally require the T1 \fntenc[T1] for \italic} \bigskip \begin{tablenote}[*] \cmdI[\string\^{}]{\^{}}\verb|{}| and \cmdI[\string\~{}]{\~{}}\verb|{}| can be used instead of \cmdI{\textasciicircum} and \cmdI{\textasciitilde}. See the discussion of ``\textasciitilde'' \vpageref[below]{page:tildes}. \end{tablenote} \bigskip \usetextmathmessage[\dag] \end{symtable} \begin{symtable}{\latexE{} Commands Defined to Work in Both Math and Text Mode} \index{dots (ellipses)} \index{ellipses (dots)} \index{copyright} \idxboth{legal}{symbols} \label{math-text} \begin{tabular}{*3{lll@{\qqquad}}lll} \Vpl\{ & \Vl\_ & \V[\ltextdaggerdbl]\ddag & \Vl\pounds \\ \Vpl\} & \V[\ltextcopyright]\copyright & \Vl\dots & \V[\ltextsection]\S \\ \V[\ltextdollar]\$ & \V[\ltextdagger]\dag & \V[\ltextparagraph]\P & \\ \end{tabular} \bigskip \twosymbolmessage{, and some symbols additionally require the T1 \fntenc[T1] for \italic} \end{symtable} \begin{symtable}[AMS]{\AMS\ Commands Defined to Work in Both Math and Text Mode} \index{check marks} \label{ams-math-text} \begin{tabular}{*2{ll@{\qquad}}ll} \X\checkmark & \X\circledR & \X\maltese \end{tabular} \end{symtable} \begin{symtable}{Non-ASCII Letters (Excluding Accented Letters)} \index{letters>non-ASCII} \index{ASCII} \label{non-ascii} \begin{tabular}{*4{ll@{\qqquad}}ll} \K\aa & \Ks\DH & \K\L & \K\o & \Ks\th \\ \K\AA & \Ks\DJ & \K\l & \K\oe & \Ks\TH \\ \K\AE & \Ks\dj & \Ks\NG & \K\OE & \\ \K\ae & \K\IJ & \Ks\ng & \K\ss & \\ \Ks\dh & \K\ij & \K\O & \K\SS & \\ \end{tabular} \bigskip \begin{tablenote}[*] Not available in the OT1 \fntenc[OT1]. Use the \pkgname{fontenc} package to select an alternate \fntenc[T1], such as T1. \end{tablenote} \end{symtable} \begin{symtable}[TGRK]{\TGRK\ Upright Greek Letters} \index{alphabets>Greek} \index{Greek>letters} \index{Greek>upright} \index{upright Greek letters} \label{textgreek-greek} \begin{tabular}{*4{ll}} \K\textalpha & \K\texteta & \K\textnu & \K\texttau \\ \K\textbeta & \K\texttheta & \K\textxi & \K\textupsilon \\ \K\textgamma & \K\textiota & \K\textomikron & \K\textphi \\ \K\textdelta & \K\textkappa & \K\textpi & \K\textchi \\ \K\textepsilon & \K\textlambda & \K\textrho & \K\textpsi \\ \K\textzeta & \K[\textmugreek]\textmu$^*$ & \K\textsigma & \K\textomega \\ \\ \K\textAlpha & \K\textEta & \K\textNu & \K\textTau \\ \K\textBeta & \K\textTheta & \K\textXi & \K\textUpsilon \\ \K\textGamma & \K\textIota & \K\textOmikron & \K\textPhi \\ \K\textDelta & \K\textKappa & \K\textPi & \K\textChi \\ \K\textEpsilon & \K\textLambda & \K\textRho & \K\textPsi \\ \K\textZeta & \K\textMu & \K\textSigma & \K\textOmega \\ \end{tabular} \bigskip \begin{tablenote}[*] Synonyms for \cmdI[\textmugreek]\textmu\ include \cmdI[\textmugreek]\textmicro\ and \cmdI\textmugreek. \end{tablenote} \bigskip \begin{tablenote} \TGRK\ tries to use a Greek font that matches the body text. As a result, the glyphs may appear slightly different from the above. \ifUPGR Unlike \UPGR\ (\vref*{upgreek-greek}), \TGRK\ works in text mode. \else Unlike \UPGR, \TGRK\ works in text mode. \fi The symbols in this table are intended to be used sporadically throughout a document (e.g.,~in phrases such as ``\textbeta-decay''). In contrast, \greekfontmessage. \end{tablenote} \end{symtable} \begin{symtable}[FC]{Letters Used to Typeset African Languages} \index{alphabets>African} \label{fc} \begin{tabular}{*6{ll@{\qquad}}ll} \Jiv\B{D} & \Jiv\m{c} & \Jiv\m{f} & \Jiv\m{k} & \Jiv\M{t} & \Jiv\m{Z} \\ \Jiv\B{d} & \Jiv\m{D} & \Jiv\m{F} & \Jiv\m{N} & \Jiv\M{T} & \Jiv\T{E} \\ \Jiv\B{H} & \Jiv\M{d} & \Jiv\m{G} & \Jiv\m{n} & \Jiv\m{t} & \Jiv\T{e} \\ \Jiv\B{h} & \Jiv\M{D} & \Jiv\m{g} & \Jiv\m{o} & \Jiv\m{T} & \Jiv\T{O} \\ \Jiv\B{t} & \Jiv\m{d} & \Jiv\m{I} & \Jiv\m{O} & \Jiv\m{u}$^*$ & \Jiv\T{o} \\ \Jiv\B{T} & \Jiv\m{E} & \Jiv\m{i} & \Jiv\m{P} & \Jiv\m{U}$^*$ \\ \Jiv\m{b} & \Jiv\m{e} & \Jiv\m{J} & \Jiv\m{p} & \Jiv\m{Y} \\ \Jiv\m{B} & \Jiv\M{E} & \Jiv\m{j} & \Jiv\m{s} & \Jiv\m{y} \\ \Jiv\m{C} & \Jiv\M{e} & \Jiv\m{K} & \Jiv\m{S} & \Jiv\m{z} \\ \end{tabular} \bigskip \begin{tablenote} These characters all need the T4 \fntenc[T4], which is provided by the \FC\ package. \end{tablenote} \bigskip \begin{tablenote}[*] \verb|\m{v}| and \verb|\m{V}| are synonyms for \verb|\m{u}| and \verb|\m{U}|. \end{tablenote} \end{symtable} \begin{symtable}[VIET]{Letters Used to Typeset Vietnamese} \index{alphabets>Vietnamese} \begin{tabular}{*3{ll@{\qquad}}ll} \Kv\OHORN & \Kv\ohorn & \Kv\UHORN & \Kv\uhorn \\ \end{tabular} \bigskip \begin{tablenote} These characters all need the T5 \fntenc[T5], which is provided by the \VIET\ package. \end{tablenote} \end{symtable} \begin{symtable}{Punctuation Marks Not Found in OT1} \index{punctuation} \index{quotation marks} \label{punc-no-OT1} \begin{tabular}{*8l} \Kt\guillemetleft$^*$ & \Kt\guilsinglleft & \Kt\quotedblbase & \Kt\textquotedbl \\ \Kt\guillemetright$^*$ & \Kt\guilsinglright & \Kt\quotesinglbase & \\ \end{tabular} \bigskip \begin{tablenote}[*] Older versions of \latex\ misspelled these as \texttt{\string\guillemotleft} and \texttt{\string\guillemotright}. The older names are still retained for backward compatibility. \end{tablenote} \bigskip \begin{tablenote} To get these symbols, use the \pkgname{fontenc} package to select an alternate \fntenc[T1], such as~T1. \end{tablenote} \end{symtable} \begin{symtable}[PI]{\PI\ Decorative Punctuation Marks} \index{punctuation} \label{pi-punctuation} \begin{tabular}{*5{ll}} \Tding{123} & \Tding{125} & \Tding{161} & \Tding{163} \\ \Tding{124} & \Tding{126} & \Tding{162} \\ \end{tabular} \end{symtable} \begin{longsymtable}[TIPA]{\TIPA\ Phonetic Symbols} \ltidxboth{phonetic}{symbols} \ltidxboth{linguistic}{symbols} \ltidxboth{dictionary}{symbols} \ltidxboth{rotated}{symbols} \ltidxboth{upside-down}{symbols} \ltidxboth{inverted}{symbols} \ltindex{alphabets>phonetic} \index{tilde} \label{tipa-phonetic} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\textbabygamma & \K\textglotstop & \K\textrtailn \\ \K\textbarb & \K\texthalflength & \K\textrtailr \\ \K\textbarc & \K\texthardsign & \K\textrtails \\ \K\textbard & \K\texthooktop & \K\textrtailt \\ \K\textbardotlessj & \K\texthtb & \K\textrtailz \\ \K\textbarg & \K\texthtbardotlessj & \K\textrthook \\ \K\textbarglotstop & \K\texthtc & \K\textsca \\ \K\textbari & \K\texthtd & \K\textscb \\ \K\textbarl & \K\texthtg & \K\textsce \\ \K\textbaro & \K\texthth & \K\textscg \\ \K\textbarrevglotstop & \K\texththeng & \K\textsch \\ \K\textbaru & \K\texthtk & \K\textschwa \\ \K\textbeltl & \K\texthtp & \K\textsci \\ \K\textbeta & \K\texthtq & \K\textscj \\ \K\textbullseye & \K\texthtrtaild & \K\textscl \\ \K\textceltpal & \K\texthtscg & \K\textscn \\ \K\textchi & \K\texthtt & \K\textscoelig \\ \K\textcloseepsilon & \K\texthvlig & \K\textscomega \\ \K\textcloseomega & \K\textinvglotstop & \K\textscr \\ \K\textcloserevepsilon & \K\textinvscr & \K\textscripta \\ \K\textcommatailz & \K\textiota & \K\textscriptg \\ \K\textcorner & \K\textlambda & \K\textscriptv \\ \K\textcrb & \K\textlengthmark & \K\textscu \\ \K\textcrd & \K\textlhookt & \K\textscy \\ \K\textcrg & \K\textlhtlongi & \K\textsecstress \\ \K\textcrh & \K\textlhtlongy & \K\textsoftsign \\ \K\textcrinvglotstop & \K\textlonglegr & \K\textstretchc \\ \K\textcrlambda & \K\textlptr & \K\texttctclig \\ \K\textcrtwo & \K\textltailm & \K\textteshlig \\ \K\textctc & \K\textltailn & \K\texttheta \\ \K\textctd & \K\textltilde & \K\textthorn \\ \K\textctdctzlig & \K\textlyoghlig & \K\texttoneletterstem \\ \K\textctesh & \K\textObardotlessj & \K\texttslig \\ \K\textctj & \K\textOlyoghlig & \K\textturna \\ \K\textctn & \K\textomega & \K\textturncelig \\ \K\textctt & \K\textopencorner & \K\textturnh \\ \K\textcttctclig & \K\textopeno & \K\textturnk \\ \K\textctyogh & \K\textpalhook & \K\textturnlonglegr \\ \K\textctz & \K\textphi & \K\textturnm \\ \K\textdctzlig & \K\textpipe & \K\textturnmrleg \\ \K\textdoublebaresh & \K\textprimstress & \K\textturnr \\ \K\textdoublebarpipe & \K\textraiseglotstop & \K\textturnrrtail \\ \K\textdoublebarslash & \K\textraisevibyi & \K\textturnscripta \\ \K\textdoublepipe & \K\textramshorns & \K\textturnt \\ \K\textdoublevertline & \K\textrevapostrophe & \K\textturnv \\ \K\textdownstep & \K\textreve & \K\textturnw \\ \K\textdyoghlig & \K\textrevepsilon & \K\textturny \\ \K\textdzlig & \K\textrevglotstop & \K\textupsilon \\ \K\textepsilon & \K\textrevyogh & \K\textupstep \\ \K\textesh & \K\textrhookrevepsilon & \K\textvertline \\ \K\textfishhookr & \K\textrhookschwa & \K\textvibyi \\ \K\textg & \K\textrhoticity & \K\textvibyy \\ \K\textgamma & \K\textrptr & \K\textwynn \\ \K\textglobfall & \K\textrtaild & \K\textyogh \\ \K\textglobrise & \K\textrtaill & \\ \end{longtable} \begin{tablenote} \TIPA\ defines shortcut characters for many of the above. It also defines a command \cmd{\tone} for denoting tone letters (pitches). \seedocs{\TIPA}. \end{tablenote} \end{longsymtable} \begin{longsymtable}[TIPX]{\TIPX\ Phonetic Symbols} \idxboth{phonetic}{symbols} \idxboth{linguistic}{symbols} \idxboth{dictionary}{symbols} \idxboth{rotated}{symbols} \idxboth{upside-down}{symbols} \idxboth{inverted}{symbols} \index{female} \index{alphabets>phonetic} \label{tipx-phonetic} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\textaolig & \K\texthtbardotlessjvar & \K\textrthooklong \\ \K\textbenttailyogh & \K\textinvomega & \K\textscaolig \\ \K\textbktailgamma & \K\textinvsca & \K\textscdelta \\ \K\textctinvglotstop & \K\textinvscripta & \K\textscf \\ \K\textctjvar & \K\textlfishhookrlig & \K\textsck \\ \K\textctstretchc & \K\textlhookfour & \K\textscm \\ \K\textctstretchcvar & \K\textlhookp & \K\textscp \\ \K\textctturnt & \K\textlhti & \K\textscq \\ \K\textdblig & \K\textlooptoprevesh & \K\textspleftarrow \\ \K\textdoublebarpipevar & \K\textnrleg & \K\textstretchcvar \\ \K\textdoublepipevar & \K\textObullseye & \K\textsubdoublearrow \\ \K\textdownfullarrow & \K\textpalhooklong & \K\textsubrightarrow \\ \K\textfemale & \K\textpalhookvar & \K\textthornvari \\ \K\textfrbarn & \K\textpipevar & \K\textthornvarii \\ \K\textfrhookd & \K\textqplig & \K\textthornvariii \\ \K\textfrhookdvar & \K\textrectangle & \K\textthornvariv \\ \K\textfrhookt & \K\textretractingvar & \K\textturnglotstop \\ \K\textfrtailgamma & \K\textrevscl & \K\textturnsck \\ \K\textglotstopvari & \K\textrevscr & \K\textturnscu \\ \K\textglotstopvarii & \K\textrhooka & \K\textturnthree \\ \K\textglotstopvariii & \K\textrhooke & \K\textturntwo \\ \K\textgrgamma & \K\textrhookepsilon & \K\textuncrfemale \\ \K\textheng & \K\textrhookopeno & \K\textupfullarrow \\ \K\texthmlig & \K\textrtailhth \\ \end{longtable} \end{longsymtable} \begin{longsymtable}[WIPA]{\WIPA\ Phonetic Symbols} \ltidxboth{phonetic}{symbols} \ltidxboth{linguistic}{symbols} \ltidxboth{dictionary}{symbols} \ltidxboth{rotated}{symbols} \ltidxboth{upside-down}{symbols} \ltidxboth{inverted}{symbols} \ltindex{alphabets>phonetic} \index{tilde} \label{wipa-phonetic} \begin{longtable}{*4{ll}} \multicolumn{8}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{8}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\babygamma & \K\eng & \K\labdentalnas & \K\schwa \\ \K\barb & \K\er & \K\latfric & \K\sci \\ \K\bard & \K\esh & \K\legm & \K\scn \\ \K\bari & \K[\WSUeth]\eth & \K\legr & \K\scr \\ \K\barl & \K\flapr & \K\lz & \K\scripta \\ \K[\WSUbaro]\baro & \K\glotstop & \K\nialpha & \K\scriptg \\ \K\barp & \K\hookb & \K\nibeta & \K\scriptv \\ \K\barsci & \K\hookd & \K\nichi & \K\scu \\ \K\barscu & \K\hookg & \K\niepsilon & \K\scy \\ \K\baru & \K\hookh & \K\nigamma & \K\slashb \\ \K\clickb & \K\hookheng & \K\niiota & \K\slashc \\ \K\clickc & \K\hookrevepsilon & \K\nilambda & \K\slashd \\ \K\clickt & \K\hv & \K\niomega & \K\slashu \\ \K\closedniomega & \K\inva & \K\niphi & \K\taild \\ \K\closedrevepsilon & \K\invf & \K\nisigma & \K\tailinvr \\ \K\crossb & \K\invglotstop & \K\nitheta & \K\taill \\ \K\crossd & \K\invh & \K\niupsilon & \K\tailn \\ \K\crossh & \K\invlegr & \K\nj & \K\tailr \\ \K\crossnilambda & \K\invm & \K\oo & \K\tails \\ \K\curlyc & \K\invr & \K[\WSUopeno]\openo & \K\tailt \\ \K\curlyesh & \K\invscr & \K\reve & \K\tailz \\ \K\curlyyogh & \K\invscripta & \K\reveject & \K\tesh \\ \K\curlyz & \K\invv & \K\revepsilon & \K[\WSUthorn]\thorn \\ \K\dlbari & \K\invw & \K\revglotstop & \K\tildel \\ \K\dz & \K\invy & \K\scd & \K\yogh \\ \K\ejective & \K\ipagamma & \K\scg \\ \end{longtable} \end{longsymtable} \begin{symtable}[WASY]{\WASY\ Phonetic Symbols} \idxboth{phonetic}{symbols} \idxboth{linguistic}{symbols} \idxboth{dictionary}{symbols} \idxboth{rotated}{symbols} \idxboth{upside-down}{symbols} \idxboth{inverted}{symbols} \index{alphabets>phonetic} \label{wasy-phonetics} \begin{tabular}{*3{ll@{\qquad}}ll} \K\dh & \K\inve & \K\roundz & \K\thorn \\ \K\DH & \K\openo & \K\Thorn & \\ \end{tabular} \end{symtable} \begin{symtable}[PHON]{\PHON\ Phonetic Symbols} \idxboth{phonetic}{symbols} \idxboth{linguistic}{symbols} \idxboth{dictionary}{symbols} \idxboth{rotated}{symbols} \idxboth{upside-down}{symbols} \idxboth{inverted}{symbols} \index{alphabets>phonetic} \label{phon-phonetic} \begin{tabular}{*5{ll}} \K\barj & \K\flap & \K[\PHONibar]\ibar & \K\rotvara & \K\vari \\ \K\barlambda & \K\glottal & \K[\PHONopeno]\openo & \K\rotw & \K\varomega \\ \K\emgma & \K\hausaB & \K\planck & \K\roty & \K\varopeno \\ \K\engma & \K\hausab & \K\pwedge & \K[\PHONschwa]\schwa & \K[\PHONvod]\vod \\ \K\enya & \K\hausad & \K\revD & \K[\PHONthorn]\thorn & \K\voicedh \\ \K\epsi & \K\hausaD & \K\riota & \K\ubar & \K[\PHONyogh]\yogh \\ \K[\PHONesh]\esh & \K\hausak & \K\rotm & \K\udesc \\ \K[\PHONeth]\eth & \K\hausaK & \K\rotOmega & \K\vara \\ \K\fj & \K[\PHONhookd]\hookd & \K\rotr & \K[\PHONvarg]\varg \\ \end{tabular} \end{symtable} \begin{symtable}[PHONFC]{\PHONFC\ Phonetic Symbols} \idxboth{phonetic}{symbols} \idxboth{linguistic}{symbols} \idxboth{dictionary}{symbols} \index{alphabets>phonetic} \label{phonfc-phonetic} \begin{tabular}{*3{ll}} \K[\encfour\PHONFCtextcrd]\textcrd & \K[\encfour\PHONFCtexthtd]\texthtd & \K[\encfour\PHONFCtextpipe]\textpipe \\ \K[\encfour\PHONFCtextcrh]\textcrh & \K[\encfour\PHONFCtexthtk]\texthtk & \K[\encfour\PHONFCtextrtaild]\textrtaild \\ \K[\encfour\PHONFCtextepsilon]\textepsilon & \K[\encfour\PHONFCtexthtp]\texthtp & \K[\encfour\PHONFCtextrtailt]\textrtailt \\ \K[\encfour\PHONFCtextesh]\textesh & \K[\encfour\PHONFCtexthtt]\texthtt & \K[\encfour\PHONFCtextschwa]\textschwa \\ \K[\encfour\PHONFCtextfjlig]\textfjlig & \K[\encfour\PHONFCtextiota]\textiota & \K[\encfour\PHONFCtextscriptv]\textscriptv \\ \K[\encfour\PHONFCtexthtb]\texthtb & \K[\encfour\PHONFCtextltailn]\textltailn & \K[\encfour\PHONFCtextteshlig]\textteshlig \\ \K[\encfour\PHONFCtexthtc]\texthtc & \K[\encfour\PHONFCtextopeno]\textopeno & \K[\encfour\PHONFCtextyogh]\textyogh \\ \end{tabular} \bigskip \begin{tablenote} The idea behind the \PHONFC\ package's phonetic symbols is to provide an interface to some of the characters in the T4 \fntenc[T4] \ifFC (\vref*{fc}) \fi % FC but using the same names as \ifTIPA the \TIPA\ characters presented in \vref{tipa-phonetic}. \else the \TIPA\ package. \fi % TIPA \end{tablenote} \end{symtable} \begin{symtable}[SMTR]{\SMTR\ Transliteration Symbols} \idxboth{phonetic}{symbols} \idxboth{linguistic}{symbols} \idxboth{dictionary}{symbols} \idxboth{transliteration}{symbols} \idxboth{semitic}{transliteration} \index{alphabets>phonetic} \label{semtrans-phonetic} \begin{tabular}{ll@{\qqquad}ll} \K\Alif & \K\Ayn \\ \end{tabular} \end{symtable} \begin{symtable}{Text-mode Accents} \index{accents} \index{accents>acute=acute (\blackacchack\')} % "Generic" \index{accents>arc=arc (\blackacchack\newtie)} % "Generic" \index{accents>breve=breve (\blackacchack\u)} % "Generic" \index{accents>caron=caron (\blackacchack\v)} % "Generic" \index{accents>cedilla=cedilla (\blackacc\c)} % "Generic" \index{accents>circumflex=circumflex (\blackacchack\^)} % "Generic" \index{accents>Cyrillic breve=Cyrillic breve (\enctwoA{\blackacchack\U})} % "Generic" \index{accents>Cyrillic umlaut=Cyrillic umlaut (\enctwoA{\blackacchack\C})} % "Generic" \index{accents>diaeresis=di\ae{}resis (\blackacchack\")} % "Generic" \index{accents>dot=dot (\blackacchack\. or \blackacc\d)} % "Generic" \index{accents>double acute=double acute (\blackacchack\H)} % "Generic" \index{accents>double grave=double grave (\enctwoA{\blackacchack\C})} % "Generic" \index{accents>Cyrillic flex=Cyrillic flex (\enctwoA{\blackacchack\f})} % "Generic" \index{accents>grave=grave (\blackacchack\`)} % "Generic" \ifVIET \index{accents>hook=hook (\encfive{\blackacchack\h})} % "Generic" \fi % VIET test \index{accents>inverted breve=inverted breve (\enctwoA{\blackacchack\f})} % "Generic" \index{accents>macron=macron (\showmacron)} % "Generic" \index{accents>ogonek=ogonek (\encone{\blackacc\k})} % "Generic" \index{accents>ring=ring (\blackacchack\r)} % "Generic" \index{font encodings>T2A} \index{font encodings>T2B} \index{font encodings>T2C} \index{font encodings>X2} \label{text-accents} \begin{tabular}{*3{ll@{\qqquad}}ll} \Q\" & \QivBAR\ddag & \Qt{\enctwoA}\f$^\P$ & \Q\t \\ \Q\' & \Q\~ & \Qiv\G\ddag & \Q\u \\ \Q\. & \Q\b & \Qv\h\S & \Qiv\U\ddag \\ \Qe[\magicequal][\magicequalname]\= & \Q\c & \Q\H & \Qt{\enctwoA}\U$^\P$ \\ \Q\^ & \Qt{\enctwoA}\C$^\P$ & \Qt\encone\k$^\dag$ & \Q\v \\ \Q\` & \Q\d & \Q\r & \\ \end{tabular} \par\medskip \begin{tabular}{ll@{\qqquad}ll} \Q\newtie$^*$ & \Qc\textcircled \end{tabular} \bigskip \begin{tablenote}[*] Requires the \TC\ package. \end{tablenote} \medskip \begin{tablenote}[\dag] Not available in the OT1 \fntenc[OT1]. Use the \pkgname{fontenc} package to select an alternate \fntenc[T1], such as T1. \end{tablenote} \medskip \begin{tablenote}[\ddag] Requires the T4 \fntenc[T4], provided by the \FC\ package. \end{tablenote} \medskip \begin{tablenote}[\S] Requires the T5 \fntenc[T5], provided by the \VIET\ package. \end{tablenote} \medskip \begin{tablenote}[\P] Requires one of the Cyrillic \fntenc[Cyrillic]s (T2A, T2B, T2C, or X2). Use the \pkgname{fontenc} package to select an encoding. \end{tablenote} \bigskip \begin{tablenote} \index{dotless i=dotless $i~(\imath)$>text mode} \index{dotless j=dotless $j~(\jmath)$>text mode} Also note the existence of \cmdI{\i} and \cmdI{\j}, which produce dotless versions of ``i'' and ``j'' (viz., ``\i'' and ``\j''). These are useful when the accent is supposed to replace the dot in encodings that need to composite\index{composited accents} (i.e.,~combine) letters and accents. For example, ``\verb|na\"{\i}ve|'' always produces a correct ``na\"{\i}ve'', while ``\verb|na\"{i}ve|'' yields the rather odd-looking \makeatletter ``na\add@accent{127}{i}ve''\index{i=\add@accent{127}{i}} \makeatother when using the OT1 \fntenc[OT1] and older versions of \latex. Font encodings other than OT1 and newer versions of \latex properly typeset ``\verb|na\"{i}ve|'' as ``na\"{\i}ve''. \end{tablenote} \end{symtable} \begin{longsymtable}[TIPA]{\TIPA\ Text-mode Accents} \ltindex{accents} \ltindex{accents>multiple per character} \ltindex{tilde} \ltindex{accents>acute=acute (\string\blackacchack\string\')} % "Generic" \ltindex{accents>arc=arc (\string\blackacchack\string\newtie)} % "Generic" \ltindex{accents>breve=breve (\string\blackacchack\string\u)} % "Generic" \ltindex{accents>circumflex=circumflex (\string\blackacchack\string\^)} % "Generic" \ltindex{accents>dot=dot (\string\blackacchack\string\. or \string\blackacc\string\d)} % "Generic" \ltindex{accents>grave=grave (\string\blackacchack\string\`)} % "Generic" \ltindex{accents>macron=macron (\string\blackacc\string\=)} % "Generic" \ltindex{accents>ogonek=ogonek (\string\encone{\string\blackacc\string\k})} % "Generic" \ltindex{accents>ring=ring (\string\blackacchack\string\r)} % "Generic" \label{tipa-accents} \renewcommand{\arraystretch}{1.25} % Keep high and low accents from touching. \begin{longtable}{ll} \multicolumn{2}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{2}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Q\textacutemacron \\ \Q\textacutewedge \\ \Q\textadvancing \\ \Q\textbottomtiebar \\ \Q\textbrevemacron \\ \Q\textcircumacute \\ \Q\textcircumdot \\ \Q\textdotacute \\ \Q\textdotbreve \\ \Q\textdoublegrave \\ \Q\textdoublevbaraccent \\ \Q\textfallrise \\ \Q\textgravecircum \\ \Q\textgravedot \\ \Q\textgravemacron \\ \Q\textgravemid \\ \Q\texthighrise \\ \Q\textinvsubbridge \\ \Q\textlowering \\ \Q\textlowrise \\ \Q\textmidacute \\ \Q\textovercross \\ \Q\textoverw \\ \Q\textpolhook \\ \Q\textraising \\ \Q\textretracting \\ \Q\textringmacron \\ \Q\textrisefall \\ \Q\textroundcap \\ \Q\textseagull \\ \Q\textsubacute \\ \Q\textsubarch \\ \Q\textsubbar \\ \Q\textsubbridge \\ \Q\textsubcircum \\ \Q\textsubdot \\ \Q\textsubgrave \\ \Q\textsublhalfring \\ \Q\textsubplus \\ \Q\textsubrhalfring \\ \Q\textsubring \\ \Q\textsubsquare \\ \Q\textsubtilde \\ \Q\textsubumlaut \\ \Q\textsubw \\ \Q\textsubwedge \\ \Q\textsuperimposetilde \\ \Q\textsyllabic \\ \Q\texttildedot \\ \Q\texttoptiebar \\ \Q\textvbaraccent \\ \end{longtable} \begin{tablenote} \TIPA\ defines shortcut sequences for many of the above. \seedocs{\TIPA}. \end{tablenote} \end{longsymtable} \begin{symtable}[XIPA]{\XIPA\ Text-mode Accents} \index{accents} \label{xipa-accents} \renewcommand{\arraystretch}{1.25} % Keep high and low accents from touching. \begin{tabular}{ll@{\qqquad}ll} \Q\bibridge & \Q\partvoiceless \\ \Q\crtilde & \Q\sliding \\ \Q\dottedtilde & \Q\spreadlips \\ \Q\doubletilde & \Q\subcorner \\ \Q\finpartvoice & \Q\subdoublebar \\ \Q\finpartvoiceless & \Q\subdoublevert \\ \Q\inipartvoice & \Q\sublptr \\ \Q\inipartvoiceless & \Q\subrptr \\ \Q\overbridge & \Q\whistle \\ \Q\partvoice \\ \end{tabular} \end{symtable} \begin{symtable}[WIPA]{\WIPA\ Text-mode Accents} \index{accents} \label{wipa-accents} \renewcommand{\arraystretch}{1.25} % Keep high and low accents from touching. \begin{tabular}{ll} \Q\dental \\ \Q\underarch \\ \end{tabular} \end{symtable} \begin{symtable}[PHON]{\PHON\ Text-mode Accents} \index{accents} \index{accents>arc=arc (\blackacchack\newtie)} % "Generic" \index{accents>ogonek=ogonek (\encone{\blackacc\k})} % "Generic" \label{phon-accents} \renewcommand{\arraystretch}{1.25} % Keep high and low accents from touching. \begin{tabular}{*3{ll}} \Q\hill & \Q\rc & \Q\ut \\ \Q\od & \Q\syl \\ \Q\ohill & \Q\td \\ \end{tabular} \bigskip \begin{tablenote} \begin{morespacing}{1pt} The \PHON\ package provides a few additional macros for linguistic accents. \cmd{\acbar} and \cmd{\acarc} compose characters with multiple accents; for example, \verb+\acbar{\'}{a}+ produces ``\acbar{\'}{a}'' and \verb+\acarc{\"}{e}+ produces ``\acarc{\"}{e}''. \cmd{\labvel} joins two characters with an arc: \verb+\labvel{mn}+~$\rightarrow$ ``\labvel{mn}''. \cmd{\upbar} is intended to go between characters as in ``\verb+x\upbar{}y''+~$\rightarrow$ ``x\upbar{}y''. Lastly, \cmd{\uplett} behaves like \cmd{\textsuperscript} but uses a smaller font. Contrast ``\verb+p\uplett{h}''+~$\rightarrow$ ``p\uplett{h}'' with ``\verb+p\textsuperscript{h}''+~$\rightarrow$ ``p\textsuperscript{h}''. \end{morespacing} \end{tablenote} \end{symtable} \begin{symtable}[METRE]{\METRE\ Text-mode Accents} \index{accents} \index{accents>acute=acute (\blackacchack\')} % "Generic" \index{accents>breve=breve (\blackacchack\u)} % "Generic" \index{accents>diaeresis=di\ae{}resis (\blackacchack\")} % "Generic" \index{accents>grave=grave (\blackacchack\`)} % "Generic" \index{accents>macron=macron (\showmacron)} % "Generic" \label{metre-accents} \begin{tabular}{ll} \Q\acutus \\ \Q[\METREbreve]\breve \\ \Q\circumflexus \\ \Q\diaeresis \\ \Q\gravis \\ \Q\macron \\ \end{tabular} \end{symtable} \begin{symtable}[PHONFC]{\PHONFC\ Text-mode Accents} \index{accents} \label{phonfc-accents} \renewcommand{\arraystretch}{1.25} % Keep high and low accents from touching. \begin{tabular}{ll} \Qpfc[\PHONFCtextdoublegrave]\textdoublegrave \\ \Qpfc[\PHONFCtextvbaraccent]\textvbaraccent \\ \Qpfc[\PHONFCtextdoublevbaraccent]\textdoublevbaraccent \\ \end{tabular} \bigskip \begin{tablenote} The idea behind the \PHONFC\ package's text-mode accents is to provide an interface to some of the accents in the T4 \fntenc[T4] (accents marked with ``\ddag'' in \vref{text-accents}) but using the same names as \ifTIPA the \TIPA\ accents presented in \vref{tipa-accents}. \else the \TIPA\ package. \fi % TIPA \end{tablenote} \end{symtable} \begin{symtable}[ARCS]{\ARCS\ Text-mode Accents} \index{accents} \index{accents>arc=arc (\blackacchack\newtie)} % "Generic" \label{arcs-accents} \begin{tabular}{*2{ll}} \Q\overarc & \Q\underarc \\ \end{tabular} \bigskip \begin{tablenote} The accents shown above scale only to a few characters wide. An optional macro argument alters the effective width of the accented characters. \seedocs{\ARCS}. At the time of this writing (2015/11/12), there exists an incompatibility between the \ARCS\ package and the \pkgname{relsize} package, upon which \ARCS\ depends. As a workaround, one should apply the patch proposed by \person{Michael}{Sharpe} on the \xetex\ mailing list (Subject: ``\href{http://tug.org/pipermail/xetex/2013-August/024674.html}{The arcs package}'', dated 2013/08/25) to prevent spurious text from being added to the document (as in, ``5.0pt\overarc{A}'' when ``\overarc{A}'' is expected). \end{tablenote} \end{symtable} \begin{symtable}[SMTR]{\SMTR\ Accents} \index{accents} \idxboth{semitic}{transliteration} \idxboth{rotated}{symbols} \idxboth{upside-down}{symbols} \idxboth{inverted}{symbols} \label{semtrans-accents} \begin{tabular}{ll@{\qqquad}ll} \Q[\smtrD]\D & \Q[\smtrU]\U \\ \end{tabular} \bigskip \begin{tabular}{ll} \Q[\smtrT]\T$^*$ \\ \end{tabular} \bigskip \begin{tablenote} \verb|\T| is not actually an accent but a command that rotates its argument 180\textdegree{} using the \pkgname{graphicx} package's \cmd{\rotatebox} command. \end{tablenote} \end{symtable} \begin{symtable}[OGON]{\OGON\ Accents} \index{accents} \index{accents>ogonek=ogonek (\encone{\blackacc\k})} % "Generic" \label{ogonek} \begin{tabular}{ll} \Q[\OGONk]\k \\ \end{tabular} \end{symtable} \begin{symtable}[CBEL]{\CBEL\ Accents} \index{accents} \index{accents>comma-below=comma-below (\blackacchack\cb)} % "Generic" \label{combelow} \begin{tabular}{ll} \Q\cb \\ \end{tabular} \bigskip \begin{tablenote} \verb|\cb| places a comma \emph{above} letters with descenders. Hence, while ``\verb|\cb{s}|'' produces ``\cb{s}'', ``\verb|\cb{g}|'' produces ``\cb{g}''. \end{tablenote} \end{symtable} \begin{symtable}[WIPA]{\WIPA\ Diacritics} \index{accents} \index{accents>ring=ring (\blackacchack\r)} % "Generic" \index{tilde} \label{wipa-diacritics} \renewcommand{\arraystretch}{1.25} % Keep high and low accents from touching. \begin{tabular}{*5{ll}} \K\ain & \K\leftp & \K\overring & \K\stress & \K\underwedge \\ \K\corner & \K\leftt & \K\polishhook & \K\syllabic & \K\upp \\ \K\downp & \K\length & \K\rightp & \K\underdots & \K\upt \\ \K\downt & \K\midtilde & \K\rightt & \K\underring \\ \K\halflength & \K\open & \K\secstress & \K\undertilde \\ \end{tabular} \bigskip \begin{tablenote} The \WIPA\ package defines all of the above as ordinary characters, not as accents. However, it does provide \cmd{\diatop} and \cmd{\diaunder} commands, which are used to compose diacritics with other characters. For example, \verb+\diatop[\overring|a]+ produces ``\diatop[\overring|a]'', and \verb+\diaunder[\underdots|a]+ produces ``\diaunder[\underdots|a]''. \seedocs{\WIPA}. \end{tablenote} \end{symtable} \begin{symtable}{\TC\ Diacritics} \index{accents} \index{accents>acute=acute (\blackacchack\')} % "Generic" \index{accents>breve=breve (\blackacchack\u)} % "Generic" \index{accents>caron=caron (\blackacchack\v)} % "Generic" \index{accents>diaeresis=di\ae{}resis (\blackacchack\")} % "Generic" \index{accents>double acute=double acute (\blackacchack\H)} % "Generic" \index{accents>grave=grave (\blackacchack\`)} % "Generic" \index{accents>macron=macron (\showmacron)} % "Generic" \label{tc-accent-chars} \begin{tabular}{*3{ll}} \K\textacutedbl & \K\textasciicaron & \K\textasciimacron \\ \K\textasciiacute & \K\textasciidieresis & \K\textgravedbl \\ \K\textasciibreve & \K\textasciigrave \\ \end{tabular} \bigskip \begin{tablenote} The \TC\ package defines all of the above as ordinary characters, not as accents. You can use \cmd{\llap} or \cmd{\rlap} to combine them with other characters. \ifcomplete See the discussion of \cmd{\llap} and \cmd{\rlap} on page~\pageref{desc:rlap} for more information. \fi \end{tablenote} \end{symtable} \begin{symtable}[MARV]{\MARV\ Diacritics} \index{accents} \index{accents>macron=macron (\showmacron)} % "Generic" \label{marv-accent-chars} \begin{tabular}{*2{ll@{\qquad}}ll} \K\arrowOver & \K\barOver & \K\StrikingThrough \\ \K\ArrowOver & \K\BarOver & \\ \end{tabular} \bigskip \begin{tablenote} The \MARV\ package defines all of the above as ordinary characters, not as accents. You can use \cmd{\llap} or \cmd{\rlap} to combine them with other characters. \ifcomplete See the discussion of \cmd{\llap} and \cmd{\rlap} on page~\pageref{desc:rlap} for more information. \fi \end{tablenote} \end{symtable} \begin{symtable}{\TC\ Currency Symbols} \idxboth{currency}{symbols} \idxboth{monetary}{symbols} \index{euro signs} \label{tc-currency} \begin{tabular}{*4{ll}} \K\textbaht & \K\textdollar$^*$ & \K\textguarani & \K\textwon \\ \K\textcent & \K\textdollaroldstyle & \K\textlira & \K\textyen \\ \K\textcentoldstyle & \K\textdong & \K\textnaira \\ \K\textcolonmonetary & \K\texteuro & \K\textpeso \\ \K\textcurrency & \K\textflorin & \K\textsterling$^*$ \\ \end{tabular} \bigskip \usetextmathmessage[*] \end{symtable} \begin{symtable}[MARV]{\MARV\ Currency Symbols} \idxboth{currency}{symbols} \idxboth{monetary}{symbols} \index{euro signs} \label{marv-currency} \begin{tabular}{*4{ll}ll} \K\Denarius & \K\EURcr & \K\EURtm & \K\Pfund \\ \K\Ecommerce & \K\EURdig & \K\EyesDollar & \K\Shilling \\ \K\EUR & \K\EURhv & \K\Florin & \\ \end{tabular} \bigskip \begin{tablenote} The different euro signs are meant to be visually compatible with different fonts---\PSfont{Courier} (\texttt{\string\EURcr}), \PSfont{Helvetica} (\texttt{\string\EURhv}), \PSfont{Times Roman} (\texttt{\string\EURtm}), and the \MARV\ digits listed in \ref{marv-digits} (\texttt{\string\EURdig}). \ifMDES The \MDES\ package redefines \cmdI[\MDEStexteuro]{\texteuro} to be visually compatible with one of three additional fonts: \PSfont{Utopia}~({\usefont{TS1}{mdput}{m}{n}\char"BF}), \PSfont{Charter}~({\usefont{TS1}{mdbch}{m}{n}\char"BF}), or \PSfont{Garamond}~({\usefont{TS1}{mdugm}{m}{n}\char"BF}). \fi \end{tablenote} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Currency Symbols} \idxboth{currency}{symbols} \idxboth{monetary}{symbols} \index{euro signs} \label{fontawesome-currency} \begin{tabular}{*4{ll}ll} \K\faBtc & \K\faIls & \K\faKrw & \K\faUsd \\ \K\faEur & \K\faInr & \K\faRub & \K\faViacoin \\ \K\faGbp & \K\faJpy & \K\faTry & \\ \end{tabular} \bigskip \begin{tablenote} \FNTAWE\ defines \cmdI{\faBitcoin} as a synonym for \cmdI{\faBtc}; \cmdI{\faCny}, \cmdI{\faYen}, and \cmdI{\faRmb} as synonyms for \cmdI{\faJpy}; \cmdI{\faDollar} as a synonym for \cmdI{\faUsd}; \cmdI{\faEuro} as a synonym for \cmdI{\faEur}; \cmdI{\faRouble} and \cmdI{\faRuble} as synonyms for \cmdI{\faRub}; \cmdI{\faRupee} as a synonym for \cmdI{\faInr}; \cmdI{\faShekel} and \cmdI{\faSheqel} as synonyms for \cmdI{\faIls}; \cmdI{\faTurkishLira} as a synonym for \cmdI{\faTry}; and \cmdI{\faWon} as a synonym for \cmdI{\faKrw}. \end{tablenote} \end{symtable} \begin{symtable}[WASY]{\WASY\ Currency Symbols} \idxboth{currency}{symbols} \idxboth{monetary}{symbols} \label{wasy-currency} \begin{tabular}{*2{ll@{\qquad}}ll} \K\cent & \K\currency & \K\wasyeuro$^*$ \\ \end{tabular} \bigskip \begin{tablenote}[*] \cmdI[\protect\wasyeuro]{\wasyeuro} is also available as \cmdI[\WASYeuro]{\euro} unless you specify the \optname{\WASY}{noeuro} package option. \end{tablenote} \end{symtable} \begin{symtable}[CHINA]{\CHINA\ Currency Symbols} \idxboth{currency}{symbols} \idxboth{monetary}{symbols} \index{euro signs} \label{china-euro} \begin{tabular}{ll@{\qquad}ll} \K\Euro & \K\Pound \\ \end{tabular} \end{symtable} \begin{symtable}[TEUB]{\TEUB\ Currency Symbols} \idxboth{currency}{symbols} \idxboth{monetary}{symbols} \index{Greek>coins} \index{Roman coins} \index{coins, ancient} \label{teub-currency} \begin{tabular}{*2{ll@{\qquad}}ll} \K\denarius & \K\hemiobelion & \K\tetartemorion \\ \K\dracma & \K\stater & \\ \end{tabular} \end{symtable} \begin{symtable}[TFRUP]{\TFRUP\ Currency Symbols} \idxboth{currency}{symbols} \idxboth{monetary}{symbols} \label{tfrupee} \begin{tabular}{ll} \K\rupee \\ \end{tabular} \end{symtable} \begin{symtable}[EUSYM]{\EUSYM\ Euro Signs} \idxboth{currency}{symbols} \idxboth{monetary}{symbols} \index{euro signs} \label{eurosym-euros} \begin{tabular}{*4{ll}} \K\geneuro & \K\geneuronarrow & \K\geneurowide & \K\officialeuro \\ \end{tabular} \bigskip \begin{tablenote} \cmd{\euro} is automatically mapped to one of the above---by default, \cmdI{\officialeuro}---based on a \EUSYM\ package option. \seedocs{\EUSYM}. The \verb|\geneuro|\dots{} characters are generated from the current body font's ``C'' character and therefore may not appear exactly as shown. \end{tablenote} \end{symtable} \begin{symtable}[FOUR]{\FOUR\ Euro Signs} \idxboth{currency}{symbols} \idxboth{monetary}{symbols} \index{euro signs} \label{fourier-euros} \begin{tabular}{*2{ll}} \K\eurologo & \K[\FOURtexteuro]\texteuro \\ \end{tabular} \end{symtable} \begin{symtable}{\TC\ Legal Symbols} \index{copyright} \index{trademark} \idxboth{registered}{trademark} \idxboth{legal}{symbols} \label{tc-legal} \begin{tabular}{*2{lll@{\qquad}}lll} \V\textcircledP & \V[\ltextcopyright]\textcopyright & \V\textservicemark \\ \V\textcopyleft & \V[\ltextregistered]\textregistered & \V[\ltexttrademark]\texttrademark \\ \end{tabular} \bigskip \twosymbolmessage[]{} \begin{tablenote} \hspace*{15pt}% See \TeXFAQ{tradesyms} for solutions to common problems that occur when using these symbols (e.g.,~getting a~``\textcircled{r}'' when you expected to get a~``\textregistered''). \end{tablenote} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Legal Symbols} \index{Creative Commons licenses} \index{copyright} \index{trademark} \idxboth{registered}{trademark} \idxboth{legal}{symbols} \label{fontawesome-legal} \begin{tabular}{*2{ll}} \K\faCopyright & \K\faRegistered \\ \K\faCreativeCommons & \K\faTrademark \\ \end{tabular} \end{symtable} \begin{symtable}[CCLIC]{\CCLIC\ Creative Commons License Icons} \index{Creative Commons licenses} \index{copyright} \idxboth{legal}{symbols} \label{cclic-creativecommons} \begin{tabular}{*2{ll@{\qqquad}}ll} \K\cc & \K\ccnc$^*$ & \K\ccsa$^*$ \\ \K\ccby & \K\ccnd & \\ \end{tabular} \bigskip \begin{tablenote}[*] These symbols utilize the \pkgname{rotating} package and therefore display improperly in some DVI\index{DVI} viewers. \end{tablenote} \end{symtable} \begin{symtable}[CCICO]{\CCICO\ Creative Commons License Icons} \index{Creative Commons licenses} \index{copyright} \idxboth{legal}{symbols} \label{ccico-creativecommons} \begin{tabular}{*2{ll@{\qqquad}}ll} \K\ccAttribution & \K\ccNonCommercialEU & \K\ccShare \\ \K\ccCopy & \K\ccNonCommercialJP & \K\ccShareAlike \\ \K\ccLogo & \K\ccPublicDomain & \K\ccZero \\ \K\ccNoDerivatives & \K\ccRemix & \\ \K\ccNonCommercial & \K\ccSampling & \\ \end{tabular} \bigskip \begin{tablenote} \CCICO\ additionally defines a set of commands for typesetting many complete Creative Commons licenses (i.e.,~juxtapositions of two or more of the preceding icons). For example, the \cmdI{\ccbyncnd} command typesets the ``Attribution--Noncommercial--No Derivative Works'' license~(``\ccbyncnd''). \seedocs{\CCICO}. \end{tablenote} \end{symtable} \begin{symtable}{\TC\ Old-style Numerals} \idxboth{old-style}{numerals} \label{old-style-nums} \begin{tabular}{*3{ll}} \K\textzerooldstyle & \K\textfouroldstyle & \K\texteightoldstyle \\ \K\textoneoldstyle & \K\textfiveoldstyle & \K\textnineoldstyle \\ \K\texttwooldstyle & \K\textsixoldstyle \\ \K\textthreeoldstyle & \K\textsevenoldstyle \\ \end{tabular} \bigskip \begin{tablenote} Rather than use the bulky \cmd{\textoneoldstyle}, \cmd{\texttwooldstyle}, etc.\ commands shown above, consider using \cmd{\oldstylenums}\verb|{|$\ldots$\verb|}| to typeset an old-style number. \end{tablenote} \end{symtable} \begin{symtable}{Miscellaneous \TC\ Symbols} \index{tilde} \index{quotation marks} \label{tc-misc} \begin{tabular}{ll@{\qquad}ll} \K\textblank & \K\textpilcrow \\ \K\textbrokenbar & \K\textquotesingle \\ \K\textdblhyphen & \K\textquotestraightbase \\ \K\textdblhyphenchar & \K\textquotestraightdblbase \\ \K\textdiscount & \K\textrecipe \\ \K\textestimated & \K\textreferencemark \\ \K\textinterrobang & \K\textthreequartersemdash \\ \K\textinterrobangdown & \K\texttildelow \\ \K\textnumero & \K\texttwelveudash \\ \K\textopenbullet & \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{Miscellaneous \WASY\ Text-mode Symbols} \index{long s=long s (\longs)} \label{wasy-text} \begin{tabular}{*2{ll@{\qquad}}ll} \K\longs & \K\permil & \K\wasyparagraph$^*$ \\ \end{tabular} \bigskip \begin{tablenote}[*] \WASY\ defines \cmdI[\protect\Paragraph]{\Paragraph} as a synonym for \cmdI[\protect\wasyparagraph]{\wasyparagraph}. \end{tablenote} \end{symtable} \idxbothend{body-text}{symbols} \section{Mathematical symbols} \label{math-symbols} \idxbothbegin{mathematical}{symbols} \tablesubsections Most, but not all, of the symbols in this section are math-mode only. That is, they yield a ``\texttt{Missing~\$ inserted}''\index{Missing \$ inserted=``\texttt{Missing~\$ inserted}''} error message if not used within \verb|$|$\ldots$\verb|$|, \verb|\[|$\ldots$\verb|\]|, or another math-mode environment. Operators marked as ``variable-sized'' are taller in displayed formulas, shorter in in-text formulas, and possibly shorter still when used in various levels of superscripts or subscripts. % The following definition is used both in the discussion of disjoint % union and in the "Joining and overlapping existing symbols" section. \newcommand{\dotcup}{\ensuremath{\mathaccent\cdot\cup}} \ifcomplete Alphanumeric symbols (e.g., ``$\!\mathscr{L}\,$'' and ``$\varmathbb{Z}$'') are usually produced using one of the math alphabets in \ref{alphabets} rather than with an explicit symbol command. Look there first if you need a symbol for a transform, number set, or some other alphanumeric. Although there have been many requests on \ctt for a contradiction\idxboth{contradiction}{symbols} symbol, the ensuing discussion invariably reveals innumerable ways to represent contradiction in a proof, including ``\blitza''~(\cmdI{\blitza}), ``$\Rightarrow\Leftarrow$''~(\cmdX{\Rightarrow}\cmdX{\Leftarrow}), ``$\bot$''~(\cmdX{\bot}), ``$\nleftrightarrow$''~(\cmdX{\nleftrightarrow}), and ``\textreferencemark''~(\cmdI{\textreferencemark}). Because of the lack of notational consensus, it is probably better to spell out ``Contradiction!''\ than to use a symbol for this purpose. Similarly, discussions on \ctt have revealed that there are a variety of ways to indicate the mathematical notion of ``is defined\idxboth{definition}{symbols} as''. Common candidates include ``$\triangleq$''~(\cmdX{\triangleq}), ``$\equiv$''~(\cmdX{\equiv}), ``$\coloneqq$''~(\emph{various}\footnote{In \TX, \PX, and \MTOOLS\ the symbol is called \cmdX{\coloneqq}. In \ABX\ and \MNS\ it's called \cmdI[$\string\ABXcoloneq$]{\coloneq}. In \CEQ\ it's called \cmdX{\colonequals}.}), and ``$\stackrel{\text{\tiny def}}{=}$''~(\cmd{\stackrel}\verb|{|\cmd{\text}\verb|{\tiny| \verb|def}}{=}|). See also the example of \cmd{\equalsfill} \vpageref[below]{equalsfill-ex}. Depending upon the context, disjoint\index{disjoint union} union may be represented as ``$\coprod$''~(\cmdX{\coprod}), ``$\sqcup$''~(\cmdX{\sqcup}), ``$\dotcup$''~(\cmdX{\dotcup}), ``$\oplus$''~(\cmdX{\oplus}), or any of a number of other symbols.\footnote{\person{Bob}{Tennent} listed these and other disjoint-union symbol possibilities in a November~2007 post to \ctt.} Finally, the average\index{average} value of a variable~$x$ is written by some people as ``$\overline{x}$''~(\verb|\overline{x}|)\incsyms\indexaccent[$\string\blackacc{\string\overline}$]{\overline}, by some people as ``$\langle x \rangle$''~(\cmdX{\langle} \texttt{x} \cmdX{\rangle}), and by some people as ``$\diameter x$'' or ``$\varnothing x$''~(\cmdX{\diameter} \texttt{x} or \cmdX{\varnothing} \texttt{x}). The moral of the story is that you should be careful always to explain your notation to avoid confusing your readers. \fi % Matches \ifcomplete \bigskip \begin{symtable}{Math-mode Versions of Text Symbols} \index{underline} \label{math-text-vers} \begin{tabular}{*3{ll}} \X\mathdollar & \X\mathparagraph & \X\mathsterling \\ \X\mathellipsis & \X\mathsection & \X\mathunderscore \\ \end{tabular} \bigskip \usetextmathmessage \end{symtable} \begin{symtable}[CMLL]{\CMLL\ Unary Operators} \idxboth{unary}{operators} \idxboth{linear logic}{symbols} \label{cmll-unary} \begin{tabular}{*2{ll@{\qquad}}ll} \K[!]\oc$^*$ & \K[\CMLLshneg]\shneg & \K[?]\wn$^*$ \\ \K[\CMLLshift]\shift & \K[\CMLLshpos]\shpos & \\ \end{tabular} \bigskip \begin{tablenote}[*] \cmdI[!]{\oc} and \cmdI[?]{\wn} differ from~``!'' and~``?'' in terms of their math-mode spacing: \verb|$A=!B$| produces ``$A=!B$'', for example, while \verb|$A=\oc B$| produces ``$A=\mathord{!}B$''. \end{tablenote} \end{symtable} \begin{symtable}{Binary Operators} \idxboth{binary}{operators} \index{division} \idxboth{linear logic}{symbols} \index{rhombuses} \label{bin} \begin{tabular}{*4{ll}} \X\amalg & \X\cup & \X\oplus & \X\times \\ \X\ast & \X\dagger & \X\oslash & \X\triangleleft \\ \X\bigcirc & \X\ddagger & \X\otimes & \X\triangleright \\ \X\bigtriangledown & \X\diamond & \X\pm & \X\unlhd$^*$ \\ \X\bigtriangleup & \X\div & \X\rhd$^*$ & \X\unrhd$^*$ \\ \X\bullet & \X\lhd$^*$ & \X\setminus & \X\uplus \\ \X\cap & \X\mp & \X\sqcap & \X\vee \\ \X\cdot & \X\odot & \X\sqcup & \X\wedge \\ \X\circ & \X\ominus & \X\star & \X\wr \\ \end{tabular} \bigskip \notpredefinedmessage \end{symtable} \begin{symtable}[AMS]{\AMS\ Binary Operators} \idxboth{binary}{operators} \index{semidirect products} \label{ams-bin} \begin{tabular}{*3{ll}} \X\barwedge & \X\circledcirc & \X\intercal$^*$ \\ \X\boxdot & \X\circleddash & \X\leftthreetimes \\ \X\boxminus & \X\Cup & \X\ltimes \\ \X\boxplus & \X\curlyvee & \X\rightthreetimes \\ \X\boxtimes & \X\curlywedge & \X\rtimes \\ \X\Cap & \X\divideontimes & \X\smallsetminus \\ \X\centerdot & \X\dotplus & \X\veebar \\ \X\circledast & \X\doublebarwedge \\ \end{tabular} \bigskip \begin{tablenote}[*] \newcommand{\trpose}{{\mathpalette\raiseT{\intercal}}} \newcommand{\raiseT}[2]{\raisebox{0.25ex}{$#1#2$}} % Some people use a superscripted \cmdX{\intercal} for matrix transpose\index{transpose}: ``\verb|A^\intercal|''~$\mapsto$ ``$A^\intercal$''. (See the May~2009 \ctt thread, ``raising math symbols'', for suggestions about altering the height of the superscript.) \cmdX{\top} (\vref*{letter-like}), \verb|T|, and \verb|\mathsf{T}| are other popular choices: ``$A^\top$'', ``$A^T$'', ``$A^{\text{\textsf{T}}}$''. \end{tablenote} \end{symtable} \begin{symtable}[ST]{\ST\ Binary Operators} \idxboth{binary}{operators} \idxboth{linear logic}{symbols} \label{st-bin} \begin{tabular}{*3{ll}} \X\baro & \X\interleave & \X\varoast \\ \X\bbslash & \X\leftslice & \X\varobar \\ \X\binampersand & \X\merge & \X\varobslash \\ \X\bindnasrepma & \X\minuso & \X\varocircle \\ \X\boxast & \X\moo & \X\varodot \\ \X\boxbar & \X\nplus & \X\varogreaterthan \\ \X\boxbox & \X\obar & \X\varolessthan \\ \X\boxbslash & \X\oblong & \X\varominus \\ \X\boxcircle & \X\obslash & \X\varoplus \\ \X\boxdot & \X\ogreaterthan & \X\varoslash \\ \X\boxempty & \X\olessthan & \X\varotimes \\ \X\boxslash & \X\ovee & \X\varovee \\ \X\curlyveedownarrow & \X\owedge & \X\varowedge \\ \X\curlyveeuparrow & \X\rightslice & \X\vartimes \\ \X\curlywedgedownarrow & \X\sslash & \X\Ydown \\ \X\curlywedgeuparrow & \X\talloblong & \X\Yleft \\ \X\fatbslash & \X\varbigcirc & \X\Yright \\ \X\fatsemi & \X\varcurlyvee & \X\Yup \\ \X\fatslash & \X\varcurlywedge \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ Binary Operators} \idxboth{binary}{operators} \label{wasy-bin} \begin{tabular}{*4{ll}} \X\lhd & \X\ocircle & \X\RHD & \X\unrhd \\ \X\LHD & \X\rhd & \X\unlhd \\ \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Binary Operators} \idxboth{binary}{operators} \idxboth{linear logic}{symbols} \label{txpx-bin} \begin{tabular}{*3{ll}} \X\circledbar & \X\circledwedge & \X\medcirc \\ \X\circledbslash & \X\invamp & \X\sqcapplus \\ \X\circledvee & \X\medbullet & \X\sqcupplus \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Binary Operators} \idxboth{binary}{operators} \index{asterisks} \index{semidirect products} \index{rhombuses} \label{abx-bin} \begin{tabular}{*3{ll}} \X[\ABXast]\ast & \X[\ABXcurlywedge]\curlywedge & \X[\ABXsqcap]\sqcap \\ \X[\ABXAsterisk]\Asterisk & \X[\ABXdivdot]\divdot & \X[\ABXsqcup]\sqcup \\ \X[\ABXbarwedge]\barwedge & \X[\ABXdivideontimes]\divideontimes & \X[\ABXsqdoublecap]\sqdoublecap \\ \X[\ABXbigstar]\bigstar & \X[\ABXdotdiv]\dotdiv & \X[\ABXsqdoublecup]\sqdoublecup \\ \X[\ABXbigvarstar]\bigvarstar & \X[\ABXdotplus]\dotplus & \X[\ABXsquare]\square \\ \X[\ABXblackdiamond]\blackdiamond & \X[\ABXdottimes]\dottimes & \X[\ABXsquplus]\squplus \\ \X[\ABXcap]\cap & \X[\ABXdoublebarwedge]\doublebarwedge & \X[\ABXudot]\udot \\ \X[\ABXcircplus]\circplus & \X[\ABXdoublecap]\doublecap & \X[\ABXuplus]\uplus \\ \X[\ABXcoasterisk]\coasterisk & \X[\ABXdoublecup]\doublecup & \X[\ABXvarstar]\varstar \\ \X[\ABXcoAsterisk]\coAsterisk & \X[\ABXltimes]\ltimes & \X[\ABXvee]\vee \\ \X[\ABXconvolution]\convolution & \X[\ABXpluscirc]\pluscirc & \X[\ABXveebar]\veebar \\ \X[\ABXcup]\cup & \X[\ABXrtimes]\rtimes & \X[\ABXveedoublebar]\veedoublebar \\ \X[\ABXcurlyvee]\curlyvee & \X[\ABXsqbullet]\sqbullet & \X[\ABXwedge]\wedge \\ \end{tabular} \bigskip \begin{tablenote} Many of the preceding glyphs go by multiple names. \cmdI[$\string\ABXcenterdot$]{\centerdot} is equivalent to \cmdI[$\string\ABXsqbullet$]{\sqbullet}, and \cmdI[$\string\ABXast$]{\ast} is equivalent to \cmdI{*}. \cmdI[$\string\ABXasterisk$]{\asterisk} produces the same glyph as \cmdI[$\string\ABXast$]{\ast}, but as an ordinary symbol, not a binary operator. Similarly, \cmdI[$\string\ABXbigast$]{\bigast} produces a large-operator version of the \cmdI[$\string\ABXAsterisk$]{\Asterisk} binary operator, and \cmdI[$\string\ABXbigcoast$]{\bigcoast} produces a large-operator version of the \cmdI[$\string\ABXcoAsterisk$]{\coAsterisk} binary operator. \end{tablenote} \end{symtable} \begin{longsymtable}[MNS]{\MNS\ Binary Operators} \ltidxboth{binary}{operators} \label{mns-bin} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\MNSamalg]\amalg & \K[\MNSdoublesqcup]\doublesqcup & \K[\MNSrighttherefore]\righttherefore \\ \K[\MNSast]\ast & \K[\MNSdoublevee]\doublevee & \K[\MNSrightthreetimes]\rightthreetimes \\ \K[\MNSbackslashdiv]\backslashdiv & \K[\MNSdoublewedge]\doublewedge & \K[\MNSrightY]\rightY \\ \K[\MNSbowtie]\bowtie & \K[\MNSdowntherefore]\downtherefore & \K[\MNSrtimes]\rtimes \\ \K[\MNSbullet]\bullet & \K[\MNSdownY]\downY & \K[\MNSslashdiv]\slashdiv \\ \K[\MNScap]\cap & \K[\MNSdtimes]\dtimes & \K[\MNSsmallprod]\smallprod \\ \K[\MNScapdot]\capdot & \K[\MNSfivedots]\fivedots & \K[\MNSsqcap]\sqcap \\ \K[\MNScapplus]\capplus & \K[\MNShbipropto]\hbipropto & \K[\MNSsqcapdot]\sqcapdot \\ \K[\MNScdot]\cdot & \K[\MNShdotdot]\hdotdot & \K[\MNSsqcapplus]\sqcapplus \\ \K[\MNScirc]\circ & \K[\MNSlefthalfcap]\lefthalfcap & \K[\MNSsqcup]\sqcup \\ \K[\MNSclosedcurlyvee]\closedcurlyvee & \K[\MNSlefthalfcup]\lefthalfcup & \K[\MNSsqcupdot]\sqcupdot \\ \K[\MNSclosedcurlywedge]\closedcurlywedge & \K[\MNSlefttherefore]\lefttherefore & \K[\MNSsqcupplus]\sqcupplus \\ \K[\MNScup]\cup & \K[\MNSleftthreetimes]\leftthreetimes & \K[\MNSsquaredots]\squaredots \\ \K[\MNScupdot]\cupdot & \K[\MNSleftY]\leftY & \K[\MNStimes]\times \\ \K[\MNScupplus]\cupplus & \K[\MNSltimes]\ltimes & \K[\MNSudotdot]\udotdot \\ \K[\MNScurlyvee]\curlyvee & \K[\MNSmedbackslash]\medbackslash & \K[\MNSuptherefore]\uptherefore \\ \K[\MNScurlyveedot]\curlyveedot & \K[\MNSmedcircle]\medcircle & \K[\MNSupY]\upY \\ \K[\MNScurlywedge]\curlywedge & \K[\MNSmedslash]\medslash & \K[\MNSutimes]\utimes \\ \K[\MNScurlywedgedot]\curlywedgedot & \K[\MNSmedvert]\medvert & \K[\MNSvbipropto]\vbipropto \\ \K[\MNSddotdot]\ddotdot & \K[\MNSmedvertdot]\medvertdot & \K[\MNSvdotdot]\vdotdot \\ \K[\MNSdiamonddots]\diamonddots & \K[\MNSminus]\minus & \K[\MNSvee]\vee \\ \K[\MNSdiv]\div & \K[\MNSminusdot]\minusdot & \K[\MNSveedot]\veedot \\ \K[\MNSdotmedvert]\dotmedvert & \K[\MNSmp]\mp & \K[\MNSvertbowtie]\vertbowtie \\ \K[\MNSdotminus]\dotminus & \K[\MNSneswbipropto]\neswbipropto & \K[\MNSvertdiv]\vertdiv \\ \K[\MNSdoublecap]\doublecap & \K[\MNSnwsebipropto]\nwsebipropto & \K[\MNSwedge]\wedge \\ \K[\MNSdoublecup]\doublecup & \K[\MNSplus]\plus & \K[\MNSwedgedot]\wedgedot \\ \K[\MNSdoublecurlyvee]\doublecurlyvee & \K[\MNSpm]\pm & \K[\MNSwreath]\wreath \\ \K[\MNSdoublecurlywedge]\doublecurlywedge & \K[\MNSrighthalfcap]\righthalfcap & \\ \K[\MNSdoublesqcap]\doublesqcap & \K[\MNSrighthalfcup]\righthalfcup & \\ \end{longtable} \bigskip \begin{tablenote} \MNS\ defines \cmdI[\MNSmedbackslash]{\setminus} and \cmdI[\MNSmedbackslash]{\smallsetminus} as synonyms for \cmdI[\MNSmedbackslash]{\medbackslash}; \cmdI[\MNSbowtie]{\Join} as a synonym for \cmdI[\MNSbowtie]{\bowtie}; \cmdI[\MNSwreath]{\wr} as a synonym for \cmdI[\MNSwreath]{\wreath}; \cmdI[\MNSmedvert]{\shortmid} as a synonym for \cmdI[\MNSmedvert]{\medvert}; \cmdI[\MNSdoublecap]{\Cap} as a synonym for \cmdI[\MNSdoublecap]{\doublecap}; \cmdI[\MNSdoublecup]{\Cup} as a synonym for \cmdI[\MNSdoublecup]{\doublecup}; and, \cmdI[\MNScupplus]{\uplus} as a synonym for \cmdI[\MNScupplus]{\cupplus}. \end{tablenote} \end{longsymtable} \begin{longsymtable}[FDSYM]{\FDSYM\ Binary Operators} \ltidxboth{binary}{operators} \label{fdsym-bin} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMamalg]\amalg & \K[\FDSYMdoublevee]\doublevee & \K[\FDSYMrtimes]\rtimes \\ \K[\FDSYMast]\ast & \K[\FDSYMdoublewedge]\doublewedge & \K[\FDSYMsetminus]\setminus \\ \K[\FDSYMbarwedge]\barwedge & \K[\FDSYMdownY]\downY & \K[\FDSYMsqcap]\sqcap \\ \K[\FDSYMcap]\cap & \K[\FDSYMdtimes]\dtimes & \K[\FDSYMsqcapdot]\sqcapdot \\ \K[\FDSYMcapdot]\capdot & \K[\FDSYMhdotdot]\hdotdot & \K[\FDSYMsqcapplus]\sqcapplus \\ \K[\FDSYMcapplus]\capplus & \K[\FDSYMintercal]\intercal & \K[\FDSYMsqcup]\sqcup \\ \K[\FDSYMcdot]\cdot & \K[\FDSYMintprod]\intprod & \K[\FDSYMsqcupdot]\sqcupdot \\ \X[\FDSYMcenterdot]\centerdot & \K[\FDSYMintprodr]\intprodr & \K[\FDSYMsqcupplus]\sqcupplus \\ \K[\FDSYMcup]\cup & \K[\FDSYMleftthreetimes]\leftthreetimes & \K[\FDSYMtimes]\times \\ \K[\FDSYMcupdot]\cupdot & \K[\FDSYMleftY]\leftY & \K[\FDSYMtimesbar]\timesbar \\ \K[\FDSYMcupplus]\cupplus & \K[\FDSYMltimes]\ltimes & \K[\FDSYMudotdot]\udotdot \\ \K[\FDSYMcurlyvee]\curlyvee & \K[\FDSYMmedbackslash]\medbackslash & \K[\FDSYMupbowtie]\upbowtie \\ \K[\FDSYMcurlywedge]\curlywedge & \K[\FDSYMmedslash]\medslash & \K[\FDSYMupY]\upY \\ \K[\FDSYMddotdot]\ddotdot & \K[\FDSYMminus]\minus & \K[\FDSYMutimes]\utimes \\ \K[\FDSYMdiv]\div & \K[\FDSYMminusdot]\minusdot & \K[\FDSYMvaramalg]\varamalg \\ \K[\FDSYMdivideontimes]\divideontimes & \K[\FDSYMminusfdots]\minusfdots & \K[\FDSYMvdotdot]\vdotdot \\ \K[\FDSYMdivslash]\divslash & \K[\FDSYMminusrdots]\minusrdots & \K[\FDSYMvdots]\vdots \\ \K[\FDSYMdotminus]\dotminus & \K[\FDSYMmp]\mp & \K[\FDSYMvee]\vee \\ \K[\FDSYMdotplus]\dotplus & \K[\FDSYMplus]\plus & \K[\FDSYMveebar]\veebar \\ \K[\FDSYMdottimes]\dottimes & \K[\FDSYMplusdot]\plusdot & \K[\FDSYMveedot]\veedot \\ \K[\FDSYMdoublebarwedge]\doublebarwedge & \K[\FDSYMpm]\pm & \K[\FDSYMveedoublebar]\veedoublebar \\ \K[\FDSYMdoublecap]\doublecap & \K[\FDSYMpullback]\pullback & \K[\FDSYMwedge]\wedge \\ \K[\FDSYMdoublecup]\doublecup & \K[\FDSYMpushout]\pushout & \K[\FDSYMwedgedot]\wedgedot \\ \K[\FDSYMdoublesqcap]\doublesqcap & \K[\FDSYMrightthreetimes]\rightthreetimes & \K[\FDSYMwreath]\wreath \\ \K[\FDSYMdoublesqcup]\doublesqcup & \K[\FDSYMrightY]\rightY & \\ \end{longtable} \bigskip \begin{tablenote} \FDSYM\ defines \cmdI[\string\FDSYMbtimes]{\btimes} as a synonym for \cmdI[\string\FDSYMdtimes]{\dtimes}; \cmdI[\string\FDSYMCap]{\Cap} as a synonym for \cmdI[\string\FDSYMdoublecap]{\doublecap}; \cmdI[\string\FDSYMCup]{\Cup} as a synonym for \cmdI[\string\FDSYMdoublecup]{\doublecup}; \cmdI[\string\FDSYMhookupminus]{\hookupminus} as a synonym for \cmdI[\string\FDSYMintprodr]{\intprodr}; \cmdI[\string\FDSYMhourglass]{\hourglass} as a synonym for \cmdI[\string\FDSYMupbowtie]{\upbowtie}; \cmdI[\string\FDSYMland]{\land} as a synonym for \cmdI[\string\FDSYMwedge]{\wedge}; \cmdI[\string\FDSYMlor]{\lor} as a synonym for \cmdI[\string\FDSYMvee]{\vee}; \cmdI[\string\FDSYMminushookup]{\minushookup} as a synonym for \cmdI[\string\FDSYMintprod]{\intprod}; \cmdI[\string\FDSYMsmalldivslash]{\smalldivslash} as a synonym for \cmdI[\string\FDSYMmedslash]{\medslash}; \cmdI[\string\FDSYMsmallsetminus]{\smallsetminus} as a synonym for \cmdI[\string\FDSYMmedbackslash]{\medbackslash}; \cmdI[\string\FDSYMSqcap]{\Sqcap} as a synonym for \cmdI[\string\FDSYMdoublesqcap]{\doublesqcap}; \cmdI[\string\FDSYMSqcup]{\Sqcup} as a synonym for \cmdI[\string\FDSYMdoublesqcup]{\doublesqcup}; \cmdI[\string\FDSYMttimes]{\ttimes} as a synonym for \cmdI[\string\FDSYMutimes]{\utimes}; \cmdI[\string\FDSYMlJoin]{\lJoin} as a synonym for \cmdI[\string\FDSYMltimes]{\ltimes}; \cmdI[\string\FDSYMrJoin]{\rJoin} as a synonym for \cmdI[\string\FDSYMrtimes]{\rtimes}; \cmdI[\string\FDSYMJoin]{\Join} and \cmdI[\string\FDSYMlrtimes]{\lrtimes} as synonyms for \cmdI[\string\FDSYMbowtie]{\bowtie}; \cmdI[\string\FDSYMuplus]{\uplus} as a synonym for \cmdI[\string\FDSYMcupplus]{\cupplus}; \cmdI[\string\FDSYMveeonvee]{\veeonvee} as a synonym for \cmdI[\string\FDSYMdoublevee]{\doublevee}; \cmdI[\string\FDSYMwedgeonwedge]{\wedgeonwedge} as a synonym for \cmdI[\string\FDSYMdoublewedge]{\doublewedge}; and \cmdI[\string\FDSYMwr]{\wr} as a synonym for \cmdI[\string\FDSYMwreath]{\wreath}). \end{tablenote} \end{longsymtable} \begin{longsymtable}[BSK]{\BSK\ Binary Operators} \ltidxboth{binary}{operators} \label{bsk-bin} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\BSKast]\ast & \K[\BSKdottimes]\dottimes & \K[\BSKrtimesblack]\rtimesblack \\ \K[\BSKbaro]\baro & \K[\BSKdoublebarwedge]\doublebarwedge & \K[\BSKsmallsetminus]\smallsetminus \\ \K[\BSKbarwedge]\barwedge & \K[\BSKfatsemi]\fatsemi & \K[\BSKsmashtimes]\smashtimes \\ \K[\BSKbbslash]\bbslash & \K[\BSKgtrdot]\gtrdot & \K[\BSKsquplus]\squplus \\ \K[\BSKbinampersand]\binampersand & \K[\BSKintercal]\intercal & \K[\BSKsslash]\sslash \\ \K[\BSKbindnasrepma]\bindnasrepma & \K[\BSKlbag]\lbag & \K[\BSKtimes]\times \\ \K[\BSKblackbowtie]\blackbowtie & \K[\BSKlblackbowtie]\lblackbowtie & \K[\BSKuplus]\uplus \\ \K[\BSKbowtie]\bowtie & \K[\BSKleftslice]\leftslice & \K[\BSKvarcap]\varcap \\ \K[\BSKcap]\cap & \K[\BSKleftthreetimes]\leftthreetimes & \K[\BSKvarcup]\varcup \\ \K[\BSKCap]\Cap & \K[\BSKlessdot]\lessdot & \K[\BSKvarintercal]\varintercal \\ \K[\BSKcdot]\cdot & \K[\BSKltimes]\ltimes & \K[\BSKvarsqcap]\varsqcap \\ \K[\BSKcenterdot]\centerdot & \K[\BSKltimesblack]\ltimesblack & \K[\BSKvarsqcup]\varsqcup \\ \K[\BSKcircplus]\circplus & \K[\BSKmerge]\merge & \K[\BSKvartimes]\vartimes \\ \K[\BSKcoAsterisk]\coAsterisk & \K[\BSKminuso]\minuso & \K[\BSKvee]\vee \\ \K[\BSKconvolution]\convolution & \K[\BSKmoo]\moo & \K[\BSKVee]\Vee \\ \K[\BSKcup]\cup & \K[\BSKmp]\mp & \K[\BSKveebar]\veebar \\ \K[\BSKCup]\Cup & \K[\BSKnplus]\nplus & \K[\BSKveeonvee]\veeonvee \\ \K[\BSKcupleftarrow]\cupleftarrow & \K[\BSKpluscirc]\pluscirc & \K[\BSKwedge]\wedge \\ \K[\BSKcurlyvee]\curlyvee & \K[\BSKplustrif]\plustrif & \K[\BSKWedge]\Wedge \\ \K[\BSKcurlywedge]\curlywedge & \K[\BSKpm]\pm & \K[\BSKYdown]\Ydown \\ \K[\BSKdagger]\dagger & \K[\BSKrbag]\rbag & \K[\BSKYleft]\Yleft \\ \K[\BSKddagger]\ddagger & \K[\BSKrblackbowtie]\rblackbowtie & \K[\BSKYright]\Yright \\ \K[\BSKdiv]\div & \K[\BSKrightslice]\rightslice & \K[\BSKYup]\Yup \\ \K[\BSKdivideontimes]\divideontimes & \K[\BSKrightthreetimes]\rightthreetimes & \\ \K[\BSKdotplus]\dotplus & \K[\BSKrtimes]\rtimes & \\ \end{longtable} \end{longsymtable} \begin{longsymtable}[STIX]{\STIX\ Binary Operators} \ltidxboth{binary}{operators} \label{stix-bin} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXamalg]\amalg & \K[\STIXfcmp]\fcmp & \K[\STIXsqcup]\sqcup \\ \K[\STIXast]\ast & \K[\STIXfracslash]\fracslash & \K[\STIXSqcup]\Sqcup \\ \K[\STIXbarcap]\barcap & \K[\STIXintercal]\intercal & \K[\STIXsslash]\sslash \\ \K[\STIXbarcup]\barcup & \K[\STIXinterleave]\interleave & \K[\STIXthreedotcolon]\threedotcolon \\ \K[\STIXbarvee]\barvee & \K[\STIXintprod]\intprod & \K[\STIXtimes]\times \\ \K[\STIXbarwedge]\barwedge & \K[\STIXintprodr]\intprodr & \K[\STIXtimesbar]\timesbar \\ \K[\STIXbigslopedvee]\bigslopedvee & \K[\STIXinvlazys]\invlazys & \K[\STIXtminus]\tminus \\ \K[\STIXbigslopedwedge]\bigslopedwedge & \K[\STIXleftthreetimes]\leftthreetimes & \K[\STIXtplus]\tplus \\ \K[\STIXbtimes]\btimes & \K[\STIXlhd]\lhd & \K[\STIXtripleplus]\tripleplus \\ \K[\STIXcap]\cap & \K[\STIXltimes]\ltimes & \K[\STIXtrslash]\trslash \\ \K[\STIXCap]\Cap & \K[\STIXmidbarvee]\midbarvee & \K[\STIXtwocaps]\twocaps \\ \K[\STIXcapbarcup]\capbarcup & \K[\STIXmidbarwedge]\midbarwedge & \K[\STIXtwocups]\twocups \\ \K[\STIXcapdot]\capdot & \K[\STIXminusdot]\minusdot & \K[\STIXtypecolon]\typecolon \\ \K[\STIXcapovercup]\capovercup & \K[\STIXminusfdots]\minusfdots & \K[\STIXuminus]\uminus \\ \K[\STIXcapwedge]\capwedge & \K[\STIXminusrdots]\minusrdots & \K[\STIXunlhd]\unlhd \\ \K[\STIXclosedvarcap]\closedvarcap & \K[\STIXmp]\mp & \K[\STIXunrhd]\unrhd \\ \K[\STIXclosedvarcup]\closedvarcup & \K[\STIXnhVvert]\nhVvert & \K[\STIXupand]\upand \\ \K[\STIXclosedvarcupsmashprod]\closedvarcupsmashprod & \K[\STIXopluslhrim]\opluslhrim & \K[\STIXuplus]\uplus \\ \K[\STIXcommaminus]\commaminus & \K[\STIXoplusrhrim]\oplusrhrim & \K[\STIXvarbarwedge]\varbarwedge \\ \K[\STIXcup]\cup & \K[\STIXotimeslhrim]\otimeslhrim & \K[\STIXvardoublebarwedge]\vardoublebarwedge \\ \K[\STIXCup]\Cup & \K[\STIXotimesrhrim]\otimesrhrim & \K[\STIXvarveebar]\varveebar \\ \K[\STIXcupbarcap]\cupbarcap & \K[\STIXplusdot]\plusdot & \K[\STIXvectimes]\vectimes \\ \K[\STIXcupdot]\cupdot & \K[\STIXpluseqq]\pluseqq & \K[\STIXVee]\Vee \\ \K[\STIXcupleftarrow]\cupleftarrow & \K[\STIXplushat]\plushat & \K[\STIXvee]\vee \\ \K[\STIXcupovercap]\cupovercap & \K[\STIXplussim]\plussim & \K[\STIXveebar]\veebar \\ \K[\STIXcupvee]\cupvee & \K[\STIXplussubtwo]\plussubtwo & \K[\STIXveedot]\veedot \\ \K[\STIXcurlyvee]\curlyvee & \K[\STIXplustrif]\plustrif & \K[\STIXveedoublebar]\veedoublebar \\ \K[\STIXcurlywedge]\curlywedge & \K[\STIXpm]\pm & \K[\STIXveemidvert]\veemidvert \\ \K[\STIXdagger]\dagger & \K[\STIXrhd]\rhd & \K[\STIXveeodot]\veeodot \\ \K[\STIXddagger]\ddagger & \K[\STIXrightthreetimes]\rightthreetimes & \K[\STIXveeonvee]\veeonvee \\ \K[\STIXdiv]\div & \K[\STIXringplus]\ringplus & \K[\STIXWedge]\Wedge \\ \K[\STIXdivideontimes]\divideontimes & \K[\STIXrsolbar]\rsolbar & \K[\STIXwedge]\wedge \\ \K[\STIXdotminus]\dotminus & \K[\STIXrtimes]\rtimes & \K[\STIXwedgebar]\wedgebar \\ \K[\STIXdotplus]\dotplus & \K[\STIXsetminus]\setminus & \K[\STIXwedgedot]\wedgedot \\ \K[\STIXdottimes]\dottimes & \K[\STIXshuffle]\shuffle & \K[\STIXwedgedoublebar]\wedgedoublebar \\ \K[\STIXdoublebarvee]\doublebarvee & \K[\STIXsimplus]\simplus & \K[\STIXwedgemidvert]\wedgemidvert \\ \K[\STIXdoublebarwedge]\doublebarwedge & \K[\STIXsmallsetminus]\smallsetminus & \K[\STIXwedgeodot]\wedgeodot \\ \K[\STIXdoubleplus]\doubleplus & \K[\STIXsmashtimes]\smashtimes & \K[\STIXwedgeonwedge]\wedgeonwedge \\ \K[\STIXdsol]\dsol & \K[\STIXsqcap]\sqcap & \K[\STIXwr]\wr \\ \K[\STIXeqqplus]\eqqplus & \K[\STIXSqcap]\Sqcap & \\ \end{longtable} \begin{tablenote} \STIX\ defines \cmdI[\string\STIXland]{\land} as a synonym for \cmdI[\string\STIXwedge]{\wedge}, \cmdI[\string\STIXlor]{\lor} as a synonym for \cmdI[\string\STIXvee]{\vee}, \cmdI[\string\STIXdoublecap]{\doublecap} as a synonym for \cmdI[\string\STIXCap]{\Cap}, and \cmdI[\string\STIXdoublecup]{\doublecup} as a synonym for \cmdI[\string\STIXCup]{\Cup}. \end{tablenote} \end{longsymtable} \begin{symtable}[MDES]{\MDES\ Binary Operators} \idxboth{binary}{operators} \label{mdes-bin} \begin{tabular}{*3{ll}} \K[\MDESdtimes]\dtimes & \K[\MDESudtimes]\udtimes & \K[\MDESutimes]\utimes \\ \end{tabular} \bigskip \begin{tablenote} \ifAMS The \MDES\ package additionally provides versions of each of the binary operators shown in \vref{ams-bin}. \else The \MDES\ package additionally provides versions of each of the \AMS\ binary operators. \fi \end{tablenote} \end{symtable} \begin{symtable}[CMLL]{\CMLL\ Binary Operators} \idxboth{binary}{operators} \label{cmll-bin} \begin{tabular}{ll@{\qquad}ll} \K[\CMLLparr]\parr$^*$ & \K[\&]\with$^\dag$ \\ \end{tabular} \bigskip \begin{tablenote}[*] \CMLL\ defines \cmdI[\CMLLparr]{\invamp} as a synonym for \cmdI[\CMLLparr]{\parr}. \end{tablenote} \medskip \begin{tablenote}[\dag] \cmdI[\&]{\with} differs from~\cmdI{\&} in terms of its math-mode spacing: \verb|$A \& B$| produces ``$A \& B$'', for example, while \verb|$A \with B$| produces ``$A\mathbin{\&}B$''. \end{tablenote} \end{symtable} \begin{symtable}[SHUF]{\SHUF\ Binary Operators} \idxboth{binary}{operators} \index{shuffle product=shuffle product (\shuffle)} \index{complete shuffle product=complete shuffle product (\cshuffle)} \label{shuf-bin} \begin{tabular}{ll@{\qquad}ll} \K\cshuffle & \K\shuffle \\ \end{tabular} \end{symtable} \begin{symtable}[ULSY]{\ULSY\ Geometric Binary Operators} \idxboth{binary}{operators} \label{ulsy-geometric-bin} \begin{tabular}{ll} \K\odplus \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Geometric Binary Operators} \idxboth{binary}{operators} \idxboth{linear logic}{symbols} \label{abx-geometric-bin} \begin{tabular}{*3{ll}} \X[\ABXblacktriangledown]\blacktriangledown & \X[\ABXboxright]\boxright & \X[\ABXominus]\ominus \\ \X[\ABXblacktriangleleft]\blacktriangleleft & \X[\ABXboxslash]\boxslash & \X[\ABXoplus]\oplus \\ \X[\ABXblacktriangleright]\blacktriangleright & \X[\ABXboxtimes]\boxtimes & \X[\ABXoright]\oright \\ \X[\ABXblacktriangleup]\blacktriangleup & \X[\ABXboxtop]\boxtop & \X[\ABXoslash]\oslash \\ \X[\ABXboxasterisk]\boxasterisk & \X[\ABXboxtriangleup]\boxtriangleup & \X[\ABXotimes]\otimes \\ \X[\ABXboxbackslash]\boxbackslash & \X[\ABXboxvoid]\boxvoid & \X[\ABXotop]\otop \\ \X[\ABXboxbot]\boxbot & \X[\ABXoasterisk]\oasterisk & \X[\ABXotriangleup]\otriangleup \\ \X[\ABXboxcirc]\boxcirc & \X[\ABXobackslash]\obackslash & \X[\ABXovoid]\ovoid \\ \X[\ABXboxcoasterisk]\boxcoasterisk & \X[\ABXobot]\obot & \X[\ABXsmalltriangledown]\smalltriangledown \\ \X[\ABXboxdiv]\boxdiv & \X[\ABXocirc]\ocirc & \X[\ABXsmalltriangleleft]\smalltriangleleft \\ \X[\ABXboxdot]\boxdot & \X[\ABXocoasterisk]\ocoasterisk & \X[\ABXsmalltriangleright]\smalltriangleright \\ \X[\ABXboxleft]\boxleft & \X[\ABXodiv]\odiv & \X[\ABXsmalltriangleup]\smalltriangleup \\ \X[\ABXboxminus]\boxminus & \X[\ABXodot]\odot \\ \X[\ABXboxplus]\boxplus & \X[\ABXoleft]\oleft \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Geometric Binary Operators} \idxboth{binary}{operators} \idxboth{linear logic}{symbols} \index{rhombuses} \label{mns-geometric-bin} \begin{tabular}{*3{ll}} \K[\MNSboxbackslash]\boxbackslash & \K[\MNSfilledmedtriangledown]\filledmedtriangledown & \K[\MNSocirc]\ocirc \\ \K[\MNSboxbox]\boxbox & \K[\MNSfilledmedtriangleleft]\filledmedtriangleleft & \K[\MNSodot]\odot \\ \K[\MNSboxdot]\boxdot & \K[\MNSfilledmedtriangleright]\filledmedtriangleright & \K[\MNSominus]\ominus \\ \K[\MNSboxminus]\boxminus & \K[\MNSfilledmedtriangleup]\filledmedtriangleup & \K[\MNSoplus]\oplus \\ \K[\MNSboxplus]\boxplus & \K[\MNSfilledsquare]\filledsquare & \K[\MNSoslash]\oslash \\ \K[\MNSboxslash]\boxslash & \K[\MNSfilledstar]\filledstar & \K[\MNSostar]\ostar \\ \K[\MNSboxtimes]\boxtimes & \K[\MNSfilledtriangledown]\filledtriangledown & \K[\MNSotimes]\otimes \\ \K[\MNSboxvert]\boxvert & \K[\MNSfilledtriangleleft]\filledtriangleleft & \K[\MNSotriangle]\otriangle \\ \K[\MNSdiamondbackslash]\diamondbackslash & \K[\MNSfilledtriangleright]\filledtriangleright & \K[\MNSovert]\overt \\ \K[\MNSdiamonddiamond]\diamonddiamond & \K[\MNSfilledtriangleup]\filledtriangleup & \K[\MNSpentagram]\pentagram \\ \K[\MNSdiamonddot]\diamonddot & \K[\MNSmeddiamond]\meddiamond & \K[\MNSsmalldiamond]\smalldiamond \\ \K[\MNSdiamondminus]\diamondminus & \K[\MNSmedsquare]\medsquare & \K[\MNSsmallsquare]\smallsquare \\ \K[\MNSdiamondplus]\diamondplus & \K[\MNSmedstar]\medstar & \K[\MNSsmallstar]\smallstar \\ \K[\MNSdiamondslash]\diamondslash & \K[\MNSmedtriangledown]\medtriangledown & \K[\MNSsmalltriangledown]\smalltriangledown \\ \K[\MNSdiamondtimes]\diamondtimes & \K[\MNSmedtriangleleft]\medtriangleleft & \K[\MNSsmalltriangleleft]\smalltriangleleft \\ \K[\MNSdiamondvert]\diamondvert & \K[\MNSmedtriangleright]\medtriangleright & \K[\MNSsmalltriangleright]\smalltriangleright \\ \K[\MNSdownslice]\downslice & \K[\MNSmedtriangleup]\medtriangleup & \K[\MNSsmalltriangleup]\smalltriangleup \\ \K[\MNSfilleddiamond]\filleddiamond & \K[\MNSoast]\oast & \K[\MNSthinstar]\thinstar \\ \K[\MNSfilledmedsquare]\filledmedsquare & \K[\MNSobackslash]\obackslash & \K[\MNSupslice]\upslice \\ \end{tabular} \bigskip \begin{tablenote} \MNS\ defines \cmdI[\MNSfilledmedsquare]{\blacksquare} as a synonym for \cmdI[\MNSfilledmedsquare]{\filledmedsquare}; \cmdI[\MNSmedsquare]{\square} and \cmdI[\MNSmedsquare]{\Box} as synonyms for \cmdI[\MNSmedsquare]{\medsquare}; \cmdI[\MNSsmalldiamond]{\diamond} as a synonym for \cmdI[\MNSsmalldiamond]{\smalldiamond}; \cmdI[\MNSmeddiamond]{\Diamond} as a synonym for \cmdI[\MNSmeddiamond]{\meddiamond}; \cmdI[\MNSthinstar]{\star} as a synonym for \cmdI[\MNSthinstar]{\thinstar}; \cmdI[\MNSoast]{\circledast} as a synonym for \cmdI[\MNSoast]{\oast}; \cmdI[\MNSocirc]{\circledcirc} as a synonym for \cmdI[\MNSocirc]{\ocirc}; and, \cmdI[\MNSominus]{\circleddash} as a synonym for \cmdI[\MNSominus]{\ominus}. \end{tablenote} \end{symtable} \begin{longsymtable}[FDSYM]{\FDSYM\ Geometric Binary Operators} \ltidxboth{binary}{operators} \ltindex{rhombuses} \label{fdsym-geometric-bin} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMboxbackslash]\boxbackslash & \K[\FDSYMmedblacktriangledown]\medblacktriangledown & \K[\FDSYMoplus]\oplus \\ \K[\FDSYMboxbox]\boxbox & \K[\FDSYMmedblacktriangleleft]\medblacktriangleleft & \K[\FDSYMoslash]\oslash \\ \K[\FDSYMboxdot]\boxdot & \K[\FDSYMmedblacktriangleright]\medblacktriangleright & \K[\FDSYMotimes]\otimes \\ \K[\FDSYMboxminus]\boxminus & \K[\FDSYMmedblacktriangleup]\medblacktriangleup & \K[\FDSYMovert]\overt \\ \K[\FDSYMboxplus]\boxplus & \K[\FDSYMmedcircle]\medcircle & \K[\FDSYMsmallblackcircle]\smallblackcircle \\ \K[\FDSYMboxslash]\boxslash & \K[\FDSYMmeddiamond]\meddiamond & \K[\FDSYMsmallblackdiamond]\smallblackdiamond \\ \K[\FDSYMboxtimes]\boxtimes & \K[\FDSYMmedslash]\medslash & \K[\FDSYMsmallblacksquare]\smallblacksquare \\ \K[\FDSYMboxvert]\boxvert & \K[\FDSYMmedsquare]\medsquare & \K[\FDSYMsmallblackstar]\smallblackstar \\ \K[\FDSYMdiamondbackslash]\diamondbackslash & \K[\FDSYMmedtriangledown]\medtriangledown & \K[\FDSYMsmallblacktriangledown]\smallblacktriangledown \\ \K[\FDSYMdiamonddiamond]\diamonddiamond & \K[\FDSYMmedtriangleleft]\medtriangleleft & \K[\FDSYMsmallblacktriangleleft]\smallblacktriangleleft \\ \K[\FDSYMdiamonddot]\diamonddot & \K[\FDSYMmedtriangleright]\medtriangleright & \K[\FDSYMsmallblacktriangleright]\smallblacktriangleright \\ \K[\FDSYMdiamondminus]\diamondminus & \K[\FDSYMmedtriangleup]\medtriangleup & \K[\FDSYMsmallblacktriangleup]\smallblacktriangleup \\ \K[\FDSYMdiamondplus]\diamondplus & \K[\FDSYMmedwhitestar]\medwhitestar & \K[\FDSYMsmallcircle]\smallcircle \\ \K[\FDSYMdiamondslash]\diamondslash & \K[\FDSYMoast]\oast & \K[\FDSYMsmalldiamond]\smalldiamond \\ \K[\FDSYMdiamondtimes]\diamondtimes & \K[\FDSYMobackslash]\obackslash & \K[\FDSYMsmallsquare]\smallsquare \\ \K[\FDSYMdiamondvert]\diamondvert & \K[\FDSYMocirc]\ocirc & \K[\FDSYMsmalltriangledown]\smalltriangledown \\ \K[\FDSYMmedblackcircle]\medblackcircle & \K[\FDSYModash]\odash & \K[\FDSYMsmalltriangleleft]\smalltriangleleft \\ \K[\FDSYMmedblackdiamond]\medblackdiamond & \K[\FDSYModot]\odot & \K[\FDSYMsmalltriangleright]\smalltriangleright \\ \K[\FDSYMmedblacksquare]\medblacksquare & \K[\FDSYMoequal]\oequal & \K[\FDSYMsmalltriangleup]\smalltriangleup \\ \K[\FDSYMmedblackstar]\medblackstar & \K[\FDSYMominus]\ominus & \K[\FDSYMsmallwhitestar]\smallwhitestar \\ \end{longtable} \FDSYM\ defines synonyms for most of the preceding symbols: \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMblackdiamond]{\blackdiamond} & \K[\FDSYMdiamond]{\diamond} & \K[\FDSYMsmblkcircle]{\smblkcircle} \\ \K[\FDSYMblacktriangle]{\blacktriangle} & \K[\FDSYMDiamond]{\Diamond} & \K[\FDSYMsmblkdiamond]{\smblkdiamond} \\ \K[\FDSYMblacktriangledown]{\blacktriangledown} & \K[\FDSYMdiamondbslash]{\diamondbslash} & \K[\FDSYMsmblksquare]{\smblksquare} \\ \K[\FDSYMblacktriangleleft]{\blacktriangleleft} & \K[\FDSYMdiamondcdot]{\diamondcdot} & \K[\FDSYMsmwhitestar]{\smwhitestar} \\ \K[\FDSYMblacktriangleright]{\blacktriangleright} & \K[\FDSYMmdblkdiamond]{\mdblkdiamond} & \K[\FDSYMsmwhtcircle]{\smwhtcircle} \\ \K[\FDSYMBox]{\Box} & \K[\FDSYMmdblksquare]{\mdblksquare} & \K[\FDSYMsmwhtdiamond]{\smwhtdiamond} \\ \K[\FDSYMboxbar]{\boxbar} & \K[\FDSYMmdlgblkcircle]{\mdlgblkcircle} & \K[\FDSYMsmwhtsquare]{\smwhtsquare} \\ \K[\FDSYMboxbslash]{\boxbslash} & \K[\FDSYMmdlgblkdiamond]{\mdlgblkdiamond} & \K[\FDSYMsquare]{\square} \\ \K[\FDSYMboxdiag]{\boxdiag} & \K[\FDSYMmdlgblksquare]{\mdlgblksquare} & \K[\FDSYMstar]{\star} \\ \K[\FDSYMbullet]{\bullet} & \K[\FDSYMmdlgwhtcircle]{\mdlgwhtcircle} & \K[\FDSYMtriangle]{\triangle} \\ \K[\FDSYMcirc]{\circ} & \K[\FDSYMmdlgwhtdiamond]{\mdlgwhtdiamond} & \K[\FDSYMtriangledown]{\triangledown} \\ \K[\FDSYMcircledast]{\circledast} & \K[\FDSYMmdlgwhtsquare]{\mdlgwhtsquare} & \K[\FDSYMtriangleleft]{\triangleleft} \\ \K[\FDSYMcircledcirc]{\circledcirc} & \K[\FDSYMmdwhtdiamond]{\mdwhtdiamond} & \K[\FDSYMtriangleright]{\triangleright} \\ \K[\FDSYMcircleddash]{\circleddash} & \K[\FDSYMmdwhtsquare]{\mdwhtsquare} & \K[\FDSYMvartriangle]{\vartriangle} \\ \K[\FDSYMcircledequal]{\circledequal} & \K[\FDSYMmedstar]{\medstar} & \\ \K[\FDSYMcircledvert]{\circledvert} & \K[\FDSYMobslash]{\obslash} & \\ \end{longtable} \end{longsymtable} \begin{longsymtable}[BSK]{\BSK\ Geometric Binary Operators} \ltidxboth{binary}{operators} \ltindex{rhombuses} \label{bsk-geometric-bin} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\BSKblacklozenge]\blacklozenge & \K[\BSKboxright]\boxright & \K[\BSKoblong]\oblong \\ \K[\BSKblacksquare]\blacksquare & \K[\BSKboxslash]\boxslash & \K[\BSKobot]\obot \\ \K[\BSKblacktriangle]\blacktriangle & \K[\BSKboxtimes]\boxtimes & \K[\BSKobslash]\obslash \\ \K[\BSKblacktriangledown]\blacktriangledown & \K[\BSKboxtop]\boxtop & \K[\BSKogreaterthan]\ogreaterthan \\ \K[\BSKblacktriangleleft]\blacktriangleleft & \K[\BSKboxtriangle]\boxtriangle & \K[\BSKoleft]\oleft \\ \K[\BSKblacktriangleright]\blacktriangleright & \K[\BSKcircledast]\circledast & \K[\BSKolessthan]\olessthan \\ \K[\BSKboxast]\boxast & \K[\BSKcircledcirc]\circledcirc & \K[\BSKominus]\ominus \\ \K[\BSKboxbar]\boxbar & \K[\BSKcircleddash]\circleddash & \K[\BSKoplus]\oplus \\ \K[\BSKboxbot]\boxbot & \K[\BSKdiamond]\diamond & \K[\BSKoright]\oright \\ \K[\BSKboxbox]\boxbox & \K[\BSKdiamondbar]\diamondbar & \K[\BSKoslash]\oslash \\ \K[\BSKboxbslash]\boxbslash & \K[\BSKdiamondcircle]\diamondcircle & \K[\BSKotimes]\otimes \\ \K[\BSKboxcircle]\boxcircle & \K[\BSKdiamondminus]\diamondminus & \K[\BSKotop]\otop \\ \K[\BSKboxdivision]\boxdivision & \K[\BSKdiamondop]\diamondop & \K[\BSKotriangle]\otriangle \\ \K[\BSKboxdot]\boxdot & \K[\BSKdiamondplus]\diamondplus & \K[\BSKovee]\ovee \\ \K[\BSKboxleft]\boxleft & \K[\BSKdiamondtimes]\diamondtimes & \K[\BSKowedge]\owedge \\ \K[\BSKboxminus]\boxminus & \K[\BSKdiamondtriangle]\diamondtriangle & \K[\BSKstar]\star \\ \K[\BSKboxplus]\boxplus & \K[\BSKobar]\obar & \K[\BSKtalloblong]\talloblong \\ \end{longtable} \end{longsymtable} \begin{longsymtable}[STIX]{\STIX\ Geometric Binary Operators} \ltidxboth{binary}{operators} \ltindex{rhombuses} \label{stix-geometric-bin} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXblackhourglass]\blackhourglass & \K[\STIXconcavediamondtickleft]\concavediamondtickleft & \K[\STIXoplus]\oplus \\ \K[\STIXboxast]\boxast & \K[\STIXconcavediamondtickright]\concavediamondtickright & \K[\STIXoslash]\oslash \\ \K[\STIXboxbar]\boxbar & \K[\STIXdiamond]\diamond & \K[\STIXotimes]\otimes \\ \K[\STIXboxbox]\boxbox & \K[\STIXdsub]\dsub & \K[\STIXOtimes]\Otimes \\ \K[\STIXboxbslash]\boxbslash & \K[\STIXhourglass]\hourglass & \K[\STIXotimeshat]\otimeshat \\ \K[\STIXboxcircle]\boxcircle & \K[\STIXlozengeminus]\lozengeminus & \K[\STIXrsub]\rsub \\ \K[\STIXboxdiag]\boxdiag & \K[\STIXmdlgblklozenge]\mdlgblklozenge & \K[\STIXsmblkcircle]\smblkcircle \\ \K[\STIXboxdot]\boxdot & \K[\STIXmdlgwhtcircle]\mdlgwhtcircle & \K[\STIXstar]\star \\ \K[\STIXboxminus]\boxminus & \K[\STIXobar]\obar & \K[\STIXtalloblong]\talloblong \\ \K[\STIXboxplus]\boxplus & \K[\STIXobot]\obot$^*$ & \K[\STIXtriangle]\triangle \\ \K[\STIXboxtimes]\boxtimes & \K[\STIXobslash]\obslash & \K[\STIXtriangleminus]\triangleminus \\ \K[\STIXcircledast]\circledast & \K[\STIXodiv]\odiv & \K[\STIXtriangleplus]\triangleplus \\ \K[\STIXcircledcirc]\circledcirc & \K[\STIXodot]\odot & \K[\STIXtriangleserifs]\triangleserifs \\ \K[\STIXcircleddash]\circleddash & \K[\STIXodotslashdot]\odotslashdot$^*$ & \K[\STIXtriangletimes]\triangletimes \\ \K[\STIXcircledequal]\circledequal & \K[\STIXogreaterthan]\ogreaterthan & \K[\STIXvysmblkcircle]\vysmblkcircle$^\dag$ \\ \K[\STIXcircledparallel]\circledparallel & \K[\STIXolcross]\olcross$^*$ & \K[\STIXvysmwhtcircle]\vysmwhtcircle \\ \K[\STIXcircledvert]\circledvert & \K[\STIXolessthan]\olessthan & \K[\STIXwhitesquaretickleft]\whitesquaretickleft \\ \K[\STIXcirclehbar]\circlehbar & \K[\STIXominus]\ominus & \K[\STIXwhitesquaretickright]\whitesquaretickright \\ \K[\STIXconcavediamond]\concavediamond & \K[\STIXoperp]\operp & \\ \end{longtable} \begin{tablenote}[*] Defined as an ordinary character, not as a binary relation. However, these symbols more closely resemble the other symbols in this table than they do the geometric shapes presented in \ref{stix-geometrical}, which is why they are included here. \end{tablenote} \bigskip \begin{tablenote}[\dag] \STIX\ defines \cmdI[\string\STIXbullet]{\bullet} as a synonym for \cmdI[\string\STIXvysmblkcircle]{\vysmblkcircle}. \end{tablenote} \end{longsymtable} \begin{symtable}[HWMATH]{\HWMATH\ Halloween-Themed Math Operators} \index{pumpkins} \index{witches} \index{ghosts} \index{clouds} \index{skulls} \index{bats} \idxboth{Halloween}{symbols} \label{hwmath-binops} \renewcommand{\arraystretch}{1.25} % Keep high and low accents from touching. \begin{tabular}{ll*2{@{\qquad}ll}} \X\bigpumpkin$^\ddag$ & \X\mathleftghost & \X\reversemathcloud \\ \X\bigskull & \X\mathrightbat & \X\reversemathwitch$^\dag$ \\ \X\mathbat & \X\mathrightghost & \Xstar\reversemathwitch$^\dag$ \\ \X\mathcloud & \Xstar\mathwitch$^\dag$ & \X\skull \\ \X\mathghost & \X\mathwitch$^\dag$ & \\ \X\mathleftbat & \X\pumpkin & \\ \end{tabular} \bigskip \begin{tablenote}[\dag] These symbols accept limits. For example, \verb|\mathwitch*_{i=0}^{\infty} f(x)| produces ``$\mathwitch*_{i=0}^{\infty} f(x)$'' in text mode and \[ \mathwitch*_{i=0}^{\infty} f(x) \] in display mode. \end{tablenote} \bigskip \begin{tablenote}[\ddag] \cmdX{\greatpumpkin} is a synonym for \cmdX{\bigpumpkin}. \end{tablenote} \end{symtable} \begin{symtable}[STIX]{\STIX\ Small Integrals} \index{integrals} \label{stix-smint} \begin{tabular}{*3{ll}} \K[\STIXsmallawint]\smallawint & \K[\STIXsmallintcap]\smallintcap & \K[\STIXsmalloint]\smalloint \\ \K[\STIXsmallcirfnint]\smallcirfnint & \K[\STIXsmallintclockwise]\smallintclockwise & \K[\STIXsmallointctrclockwise]\smallointctrclockwise \\ \K[\STIXsmallfint]\smallfint & \K[\STIXsmallintcup]\smallintcup & \K[\STIXsmallpointint]\smallpointint \\ \K[\STIXsmalliiiint]\smalliiiint & \K[\STIXsmallintlarhk]\smallintlarhk & \K[\STIXsmallrppolint]\smallrppolint \\ \K[\STIXsmalliiint]\smalliiint & \K[\STIXsmallintx]\smallintx & \K[\STIXsmallscpolint]\smallscpolint \\ \K[\STIXsmalliint]\smalliint & \K[\STIXsmalllowint]\smalllowint & \K[\STIXsmallsqint]\smallsqint \\ \K[\STIXsmallint]\smallint & \K[\STIXsmallnpolint]\smallnpolint & \K[\STIXsmallsumint]\smallsumint \\ \K[\STIXsmallintbar]\smallintbar & \K[\STIXsmalloiiint]\smalloiiint & \K[\STIXsmallupint]\smallupint \\ \K[\STIXsmallintBar]\smallintBar & \K[\STIXsmalloiint]\smalloiint & \K[\STIXsmallvarointclockwise]\smallvarointclockwise \\ \end{tabular} \bigskip \begin{tablenote} By default, each of the preceding commands points to a slanted version of the glyph, as shown. The \optname{stix}{upint} package option typesets each integral instead as an upright version. Slanted and upright integrals can be mixed, however, by explicitly using the commands shown in \ref{stix-smint-all}. \end{tablenote} \end{symtable} \begin{longsymtable}[STIX]{\STIX\ Small Integrals with Explicit Slant} \ltindex{integrals} \label{stix-smint-all} \begin{longtable}{ll@{\qquad}ll} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXsmallawintsl]\smallawintsl & \K[\STIXsmallawintup]\smallawintup \\ \K[\STIXsmallcirfnintsl]\smallcirfnintsl & \K[\STIXsmallcirfnintup]\smallcirfnintup \\ \K[\STIXsmallfintsl]\smallfintsl & \K[\STIXsmallfintup]\smallfintup \\ \K[\STIXsmalliiiintsl]\smalliiiintsl & \K[\STIXsmalliiiintup]\smalliiiintup \\ \K[\STIXsmalliiintsl]\smalliiintsl & \K[\STIXsmalliiintup]\smalliiintup \\ \K[\STIXsmalliintsl]\smalliintsl & \K[\STIXsmalliintup]\smalliintup \\ \K[\STIXsmallintbarsl]\smallintbarsl & \K[\STIXsmallintBarup]\smallintBarup \\ \K[\STIXsmallintBarsl]\smallintBarsl & \K[\STIXsmallintbarup]\smallintbarup \\ \K[\STIXsmallintcapsl]\smallintcapsl & \K[\STIXsmallintcapup]\smallintcapup \\ \K[\STIXsmallintclockwisesl]\smallintclockwisesl & \K[\STIXsmallintclockwiseup]\smallintclockwiseup \\ \K[\STIXsmallintcupsl]\smallintcupsl & \K[\STIXsmallintcupup]\smallintcupup \\ \K[\STIXsmallintlarhksl]\smallintlarhksl & \K[\STIXsmallintlarhkup]\smallintlarhkup \\ \K[\STIXsmallintsl]\smallintsl & \K[\STIXsmallintup]\smallintup \\ \K[\STIXsmallintxsl]\smallintxsl & \K[\STIXsmallintxup]\smallintxup \\ \K[\STIXsmalllowintsl]\smalllowintsl & \K[\STIXsmalllowintup]\smalllowintup \\ \K[\STIXsmallnpolintsl]\smallnpolintsl & \K[\STIXsmallnpolintup]\smallnpolintup \\ \K[\STIXsmalloiiintsl]\smalloiiintsl & \K[\STIXsmalloiiintup]\smalloiiintup \\ \K[\STIXsmalloiintsl]\smalloiintsl & \K[\STIXsmalloiintup]\smalloiintup \\ \K[\STIXsmallointctrclockwisesl]\smallointctrclockwisesl & \K[\STIXsmallointctrclockwiseup]\smallointctrclockwiseup \\ \K[\STIXsmallointsl]\smallointsl & \K[\STIXsmallointup]\smallointup \\ \K[\STIXsmallpointintsl]\smallpointintsl & \K[\STIXsmallpointintup]\smallpointintup \\ \K[\STIXsmallrppolintsl]\smallrppolintsl & \K[\STIXsmallrppolintup]\smallrppolintup \\ \K[\STIXsmallscpolintsl]\smallscpolintsl & \K[\STIXsmallscpolintup]\smallscpolintup \\ \K[\STIXsmallsqintsl]\smallsqintsl & \K[\STIXsmallsqintup]\smallsqintup \\ \K[\STIXsmallsumintsl]\smallsumintsl & \K[\STIXsmallsumintup]\smallsumintup \\ \K[\STIXsmallupintsl]\smallupintsl & \K[\STIXsmallupintup]\smallupintup \\ \K[\STIXsmallvarointclockwisesl]\smallvarointclockwisesl & \K[\STIXsmallvarointclockwiseup]\smallvarointclockwiseup \\ \end{longtable} \begin{tablenote} Instead of using the preceding symbols directly, it is generally preferable to use the symbols listed in \ref{stix-smint} either with or without the \optname{stix}{upint} package option. Specifying \optname{stix}{upint} selects each integral's upright (\texttt{up}) variant, while omitting \optname{stix}{upint} selects each integral's slanted (\texttt{sl}) variant. Use the symbols shown in \ref{stix-smint-all} only when you need to include both upright and slanted variations of a symbol in the same document. \end{tablenote} \end{longsymtable} \begin{symtable}{Variable-sized Math Operators} \idxboth{variable-sized}{symbols} \idxboth{linear logic}{symbols} \index{integrals} \label{op} \renewcommand{\arraystretch}{1.75} % Keep tall symbols from touching. \begin{tabular}{*3{l@{$\:$}ll@{\qquad}}l@{$\:$}ll} \R\bigcap & \R\bigotimes & \R\bigwedge & \R\prod \\ \R\bigcup & \R\bigsqcup & \R\coprod & \R\sum \\ \R\bigodot & \R\biguplus & \R\int \\ \R\bigoplus & \R\bigvee & \R\oint \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Variable-sized Math Operators} \idxboth{variable-sized}{symbols} \index{integrals} \label{ams-large} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{l@{$\:$}ll@{\qquad}l@{$\:$}ll} \R[\AMSiint]\iint & \R[\AMSiiint]\iiint \\ \R[\AMSiiiint]\iiiint & \R[\AMSidotsint]\idotsint \\ \end{tabular} \end{symtable} \begin{symtable}[ST]{\ST\ Variable-sized Math Operators} \idxboth{variable-sized}{symbols} \label{st-large} \renewcommand{\arraystretch}{1.75} % Keep tall symbols from touching. \begin{tabular}{*2{l@{$\:$}ll@{\qquad}}l@{$\:$}ll} \R\bigbox & \R\biginterleave & \R\bigsqcap \\ \R\bigcurlyvee & \R\bignplus & \R[\STbigtriangledown]\bigtriangledown \\ \R\bigcurlywedge & \R\bigparallel & \R[\STbigtriangleup]\bigtriangleup \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ Variable-sized Math Operators} \idxboth{variable-sized}{symbols} \index{integrals} \label{wasy-large} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{*2{l@{$\:$}ll@{\qquad}}l@{$\:$}ll} \R[\WASYint]\int & \R[\WASYiint]\iint & \R[\WASYiiint]\iiint \\ \R[\WASYoint]\oint & \R[\WASYoiint]\oiint & \\ \end{tabular} \bigskip \begin{tablenote} If \WASY\ is loaded without package options then none of the preceding symbols are defined. However, \cmdI[$\WASYint$]{\varint} produces \WASY's \cmdI[$\WASYint$]{\int} glyph, and \cmdI[$\WASYoint$]{\varoint} produces \WASY's \cmdI[$\WASYoint$]{\oint} glyph. If \WASY\ is loaded with the \optname{wasysym}{integrals} option then all of the preceding symbols are defined, but \cmdI[$\WASYint$]{\varint} and \cmdI[$\WASYoint$]{\varoint} are left undefined. If \WASY\ is loaded with the \optname{wasysym}{nointegrals} option then none of the preceding symbols, \cmdI[$\WASYint$]{\varint}, or \cmdI[$\WASYoint$]{\varoint} are defined. \end{tablenote} \end{symtable} \begin{longsymtable}[ABX]{\ABX\ Variable-sized Math Operators} \ltidxboth{variable-sized}{symbols} \ltindex{integrals} \label{abx-large} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{longtable}{*2{l@{$\:$}ll@{\qquad}}l@{$\:$}ll} \multicolumn{9}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{9}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \R[\ABXbigcurlyvee]\bigcurlyvee & \R[\ABXbigboxslash]\bigboxslash & \R[\ABXbigoright]\bigoright \\ \R[\ABXbigsqcap]\bigsqcap & \R[\ABXbigboxtimes]\bigboxtimes & \R[\ABXbigoslash]\bigoslash \\ \R[\ABXbigcurlywedge]\bigcurlywedge & \R[\ABXbigboxtop]\bigboxtop & \R[\ABXbigotop]\bigotop \\ \R[\ABXbigboxasterisk]\bigboxasterisk & \R[\ABXbigboxtriangleup]\bigboxtriangleup & \R[\ABXbigotriangleup]\bigotriangleup \\ \R[\ABXbigboxbackslash]\bigboxbackslash & \R[\ABXbigboxvoid]\bigboxvoid & \R[\ABXbigovoid]\bigovoid \\ \R[\ABXbigboxbot]\bigboxbot & \R[\ABXbigcomplementop]\bigcomplementop & \R[\ABXbigplus]\bigplus \\ \R[\ABXbigboxcirc]\bigboxcirc & \R[\ABXbigoasterisk]\bigoasterisk & \R[\ABXbigsquplus]\bigsquplus \\ \R[\ABXbigboxcoasterisk]\bigboxcoasterisk & \R[\ABXbigobackslash]\bigobackslash & \R[\ABXbigtimes]\bigtimes \\ \R[\ABXbigboxdiv]\bigboxdiv & \R[\ABXbigobot]\bigobot & \R[\ABXiiintop]\iiint \\ \R[\ABXbigboxdot]\bigboxdot & \R[\ABXbigocirc]\bigocirc & \R[\ABXiintop]\iint \\ \R[\ABXbigboxleft]\bigboxleft & \R[\ABXbigocoasterisk]\bigocoasterisk & \R[\ABXintop]\int \\ \R[\ABXbigboxminus]\bigboxminus & \R[\ABXbigodiv]\bigodiv & \R[\ABXoiintop]\oiint \\ \R[\ABXbigboxplus]\bigboxplus & \R[\ABXbigoleft]\bigoleft & \R[\ABXointop]\oint \\ \R[\ABXbigboxright]\bigboxright & \R[\ABXbigominus]\bigominus \\ \end{longtable} \end{longsymtable} \begin{longsymtable}[TX]{\TXPX\ Variable-sized Math Operators} \ltidxboth{variable-sized}{symbols} \ltindex{integrals} \label{txpx-large} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{longtable}{l@{$\:$}ll@{\hspace{4em}}l@{$\:$}ll} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \R\bigsqcapplus & \R\ointclockwise \\ \R\bigsqcupplus & \R\ointctrclockwise \\ \R\fint & \R\sqiiint \\ \R\idotsint & \R\sqiint \\ \R\iiiint & \R\sqint \\ \R\iiint & \R\varoiiintclockwise \\ \R\iint & \R\varoiiintctrclockwise \\ \R\oiiintclockwise & \R\varoiintclockwise \\ \R\oiiintctrclockwise & \R\varoiintctrclockwise \\ \R\oiiint & \R\varointclockwise \\ \R\oiintclockwise & \R\varointctrclockwise \\ \R\oiintctrclockwise & \R\varprod \\ \R\oiint \\ \end{longtable} \end{longsymtable} \begin{symtable}[ES]{\ES\ Variable-sized Math Operators} \idxboth{variable-sized}{symbols} \index{integrals} \label{es-large} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{*2{l@{\quad}ll@{\hspace{4em}}}l@{\quad}ll} \E{dotsint} & \E{ointclockwise} \\ \E{fint} & \E{ointctrclockwise} \\ \E{iiiint} & \E{sqiint} \\ \E{iiint} & \E{sqint} \\ \E{iint} & \E{varoiint} \\ \E{landdownint} & \E{varointclockwise} \\ \E{landupint} & \E{varointctrclockwise} \\ \E{oiint} \\ \end{tabular} \end{symtable} \begin{symtable}[BIGINTS]{\BIGINTS\ Variable-sized Math Operators} \label{bigints} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{lll@{\qquad}lll} \R\bigint & \R\bigoint \\ \R\bigints & \R\bigoints \\ \R\bigintss & \R\bigointss \\ \R\bigintsss & \R\bigointsss \\ \R\bigintssss & \R\bigointssss \\ \end{tabular} \end{symtable} \begin{longsymtable}[MNS]{\MNS\ Variable-sized Math Operators} \ltidxboth{variable-sized}{symbols} \ltidxboth{linear logic}{symbols} \ltindex{integrals} \label{mns-large} \renewcommand{\arraystretch}{1.75} % Keep tall symbols from touching. \begin{longtable}{*2{c@{\quad}cl@{\qquad}}c@{\quad}cl} \multicolumn{9}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{9}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \KN[\MNStbigcap][\MNSdbigcap]\bigcap & \KN[\MNStbigominus][\MNSdbigominus]\bigominus & \KN[\MNStcomplement][\MNSdcomplement]\complement \\ \KN[\MNStbigcapdot][\MNSdbigcapdot]\bigcapdot & \KN[\MNStbigoplus][\MNSdbigoplus]\bigoplus & \KN[\MNStcoprod][\MNSdcoprod]\coprod \\ \KN[\MNStbigcapplus][\MNSdbigcapplus]\bigcapplus & \KN[\MNStbigoslash][\MNSdbigoslash]\bigoslash & \KN[\MNStidotsint][\MNSdidotsint]\idotsint \\ \KN[\MNStbigcircle][\MNSdbigcircle]\bigcircle & \KN[\MNStbigostar][\MNSdbigostar]\bigostar & \KN[\MNStiiiint][\MNSdiiiint]\iiiint \\ \KN[\MNStbigcup][\MNSdbigcup]\bigcup & \KN[\MNStbigotimes][\MNSdbigotimes]\bigotimes & \KN[\MNStiiint][\MNSdiiint]\iiint \\ \KN[\MNStbigcupdot][\MNSdbigcupdot]\bigcupdot & \KN[\MNStbigotriangle][\MNSdbigotriangle]\bigotriangle & \KN[\MNStiint][\MNSdiint]\iint \\ \KN[\MNStbigcupplus][\MNSdbigcupplus]\bigcupplus$^*$ & \KN[\MNStbigovert][\MNSdbigovert]\bigovert & \KN[\MNStint][\MNSdint]\int \\ \KN[\MNStbigcurlyvee][\MNSdbigcurlyvee]\bigcurlyvee & \KN[\MNStbigplus][\MNSdbigplus]\bigplus & \KN[\MNStlanddownint][\MNSdlanddownint]\landdownint \\ \KN[\MNStbigcurlyveedot][\MNSdbigcurlyveedot]\bigcurlyveedot & \KN[\MNStbigsqcap][\MNSdbigsqcap]\bigsqcap & \KN[\MNStlandupint][\MNSdlandupint]\landupint \\ \KN[\MNStbigcurlywedge][\MNSdbigcurlywedge]\bigcurlywedge & \KN[\MNStbigsqcapdot][\MNSdbigsqcapdot]\bigsqcapdot & \KN[\MNStlcircleleftint][\MNSdlcircleleftint]\lcircleleftint \\ \KN[\MNStbigcurlywedgedot][\MNSdbigcurlywedgedot]\bigcurlywedgedot & \KN[\MNStbigsqcapplus][\MNSdbigsqcapplus]\bigsqcapplus & \KN[\MNStlcirclerightint][\MNSdlcirclerightint]\lcirclerightint \\ \KN[\MNStbigdoublecurlyvee][\MNSdbigdoublecurlyvee]\bigdoublecurlyvee & \KN[\MNStbigsqcup][\MNSdbigsqcup]\bigsqcup & \KN[\MNStoiint][\MNSdoiint]\oiint \\ \KN[\MNStbigdoublecurlywedge][\MNSdbigdoublecurlywedge]\bigdoublecurlywedge & \KN[\MNStbigsqcupdot][\MNSdbigsqcupdot]\bigsqcupdot & \KN[\MNStoint][\MNSdoint]\oint \\ \KN[\MNStbigdoublevee][\MNSdbigdoublevee]\bigdoublevee & \KN[\MNStbigsqcupplus][\MNSdbigsqcupplus]\bigsqcupplus & \KN[\MNStprod][\MNSdprod]\prod \\ \KN[\MNStbigdoublewedge][\MNSdbigdoublewedge]\bigdoublewedge & \KN[\MNStbigtimes][\MNSdbigtimes]\bigtimes & \KN[\MNStrcircleleftint][\MNSdrcircleleftint]\rcircleleftint \\ \KN[\MNStbigoast][\MNSdbigoast]\bigoast & \KN[\MNStbigvee][\MNSdbigvee]\bigvee & \KN[\MNStrcirclerightint][\MNSdrcirclerightint]\rcirclerightint \\ \KN[\MNStbigobackslash][\MNSdbigobackslash]\bigobackslash & \KN[\MNStbigveedot][\MNSdbigveedot]\bigveedot & \KN[\MNStstrokedint][\MNSdstrokedint]\strokedint \\ \KN[\MNStbigocirc][\MNSdbigocirc]\bigocirc & \KN[\MNStbigwedge][\MNSdbigwedge]\bigwedge & \KN[\MNStsum][\MNSdsum]\sum \\ \KN[\MNStbigodot][\MNSdbigodot]\bigodot & \KN[\MNStbigwedgedot][\MNSdbigwedgedot]\bigwedgedot & \KN[\MNStsumint][\MNSdsumint]\sumint \\ \end{longtable} \bigskip \begin{tablenote}[*] \MNS\ defines \cmdI[\MNStbigcupplus]{\biguplus} as a synonym for \cmdI[\MNStbigcupplus]{\bigcupplus}. \end{tablenote} \end{longsymtable} \begin{longsymtable}[FDSYM]{\FDSYM\ Variable-sized Math Operators} \ltidxboth{variable-sized}{symbols} \ltidxboth{linear logic}{symbols} \ltindex{integrals} \label{fdsym-large} \renewcommand{\arraystretch}{1.75} % Keep tall symbols from touching. \begin{longtable}{*2{c@{\quad}cl@{\qquad}}c@{\quad}cl} \multicolumn{9}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{9}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \KN[\FDSYMtbigcap][\FDSYMdbigcap]\bigcap & \KN[\FDSYMtbigsqcup][\FDSYMdbigsqcup]\bigsqcup & \KN[\FDSYMtlandupint][\FDSYMdlandupint]\landupint \\ \KN[\FDSYMtbigcapdot][\FDSYMdbigcapdot]\bigcapdot & \KN[\FDSYMtbigsqcupdot][\FDSYMdbigsqcupdot]\bigsqcupdot & \KN[\FDSYMtlcircleleftint][\FDSYMdlcircleleftint]\lcircleleftint \\ \KN[\FDSYMtbigcapplus][\FDSYMdbigcapplus]\bigcapplus & \KN[\FDSYMtbigsqcupplus][\FDSYMdbigsqcupplus]\bigsqcupplus & \KN[\FDSYMtlcirclerightint][\FDSYMdlcirclerightint]\lcirclerightint \\ \KN[\FDSYMtbigcup][\FDSYMdbigcup]\bigcup & \KN[\FDSYMtbigtimes][\FDSYMdbigtimes]\bigtimes & \KN[\FDSYMtoiiint][\FDSYMdoiiint]\oiiint \\ \KN[\FDSYMtbigcupdot][\FDSYMdbigcupdot]\bigcupdot & \KN[\FDSYMtbigvee][\FDSYMdbigvee]\bigvee & \KN[\FDSYMtoiint][\FDSYMdoiint]\oiint \\ \KN[\FDSYMtbigcupplus][\FDSYMdbigcupplus]\bigcupplus & \KN[\FDSYMtbigveedot][\FDSYMdbigveedot]\bigveedot & \KN[\FDSYMtoint][\FDSYMdoint]\oint \\ \KN[\FDSYMtbigcurlyvee][\FDSYMdbigcurlyvee]\bigcurlyvee & \KN[\FDSYMtbigwedge][\FDSYMdbigwedge]\bigwedge & \KN[\FDSYMtosum][\FDSYMdosum]\osum \\ \KN[\FDSYMtbigcurlywedge][\FDSYMdbigcurlywedge]\bigcurlywedge & \KN[\FDSYMtbigwedgedot][\FDSYMdbigwedgedot]\bigwedgedot & \KN[\FDSYMtprod][\FDSYMdprod]\prod \\ \KN[\FDSYMtbigdoublevee][\FDSYMdbigdoublevee]\bigdoublevee & \KN[\FDSYMtcoprod][\FDSYMdcoprod]\coprod & \KN[\FDSYMtrcircleleftint][\FDSYMdrcircleleftint]\rcircleleftint \\ \KN[\FDSYMtbigdoublewedge][\FDSYMdbigdoublewedge]\bigdoublewedge & \KN[\FDSYMtfint][\FDSYMdfint]\fint & \KN[\FDSYMtrcirclerightint][\FDSYMdrcirclerightint]\rcirclerightint \\ \KN[\FDSYMtbigoast][\FDSYMdbigoast]\bigoast & \KN[\FDSYMtidotsint][\FDSYMdidotsint]\idotsint & \KN[\FDSYMtsum][\FDSYMdsum]\sum \\ \KN[\FDSYMtbigodot][\FDSYMdbigodot]\bigodot & \KN[\FDSYMtiiiint][\FDSYMdiiiint]\iiiint & \KN[\FDSYMtsumint][\FDSYMdsumint]\sumint \\ \KN[\FDSYMtbigoplus][\FDSYMdbigoplus]\bigoplus & \KN[\FDSYMtiiint][\FDSYMdiiint]\iiint & \KN[\FDSYMtvarcoprod][\FDSYMdvarcoprod]\varcoprod \\ \KN[\FDSYMtbigotimes][\FDSYMdbigotimes]\bigotimes & \KN[\FDSYMtiint][\FDSYMdiint]\iint & \KN[\FDSYMtvarosum][\FDSYMdvarosum]\varosum \\ \KN[\FDSYMtbigplus][\FDSYMdbigplus]\bigplus & \KN[\FDSYMtint][\FDSYMdint]\int & \KN[\FDSYMtvarprod][\FDSYMdvarprod]\varprod \\ \KN[\FDSYMtbigsqcap][\FDSYMdbigsqcap]\bigsqcap & \KN[\FDSYMtintbar][\FDSYMdintbar]\intbar & \KN[\FDSYMtvarsum][\FDSYMdvarsum]\varsum \\ \KN[\FDSYMtbigsqcapdot][\FDSYMdbigsqcapdot]\bigsqcapdot & \KN[\FDSYMtintBar][\FDSYMdintBar]\intBar & \KN[\FDSYMtvarsumint][\FDSYMdvarsumint]\varsumint \\ \KN[\FDSYMtbigsqcapplus][\FDSYMdbigsqcapplus]\bigsqcapplus & \KN[\FDSYMtlanddownint][\FDSYMdlanddownint]\landdownint & \\ \end{longtable} \bigskip \begin{tablenote}[*] \FDSYM\ defines \cmdI[\string\FDSYMtawint]{\awint} as a synonym for \cmdI[\string\FDSYMtlanddownint]{\landdownint}, \cmdI[\string\FDSYMtbiguplus]{\biguplus} as a synonym for \cmdI[\string\FDSYMtbigcupplus]{\bigcupplus}, \cmdI[\string\FDSYMtconjquant]{\conjquant} as a synonym for \cmdI[\string\FDSYMtbigdoublewedge]{\bigdoublewedge}, \cmdI[\string\FDSYMtdisjquant]{\disjquant} as a synonym for \cmdI[\string\FDSYMtbigdoublevee]{\bigdoublevee}, \cmdI[\string\FDSYMtdotsint]{\dotsint} as a synonym for \cmdI[\string\FDSYMtidotsint]{\idotsint}, \cmdI[\string\FDSYMtintclockwise]{\intclockwise} as a synonym for \cmdI[\string\FDSYMtlandupint]{\landupint}, \cmdI[\string\FDSYMtintctrclockwise]{\intctrclockwise} as a synonym for \cmdI[\string\FDSYMtlanddownint]{\landdownint}, \cmdI[\string\FDSYMtmodtwosum]{\modtwosum} as a synonym for \cmdI[\string\FDSYMtosum]{\osum}, \cmdI[\string\FDSYMtointclockwise]{\ointclockwise} as a synonym for \cmdI[\string\FDSYMtlcircleleftint]{\lcircleleftint}, \cmdI[\string\FDSYMtointctrclockwise]{\ointctrclockwise} as a synonym for \cmdI[\string\FDSYMtrcirclerightint]{\rcirclerightint}, \cmdI[\string\FDSYMtvarmodtwosum]{\varmodtwosum} as a synonym for \cmdI[\string\FDSYMtvarosum]{\varosum}, \cmdI[\string\FDSYMtvarointclockwise]{\varointclockwise} as a synonym for \cmdI[\string\FDSYMtlcirclerightint]{\lcirclerightint}, and \cmdI[\string\FDSYMtvarointctrclockwise]{\varointctrclockwise} as a synonym for \cmdI[\string\FDSYMtrcircleleftint]{\rcircleleftint}. \end{tablenote} \end{longsymtable} \begin{symtable}[BSK]{\BSK\ Variable-sized Math Operators} \idxboth{variable-sized}{symbols} \index{integrals} \label{bsk-large} \begin{tabular}{ccl} \KN[\BSKtintup][\BSKdintup]\intup \\ \end{tabular} \bigskip \begin{tablenote} \BSK\ additionally provides all of the symbols in \ref{op}. \end{tablenote} \end{symtable} \begin{longsymtable}[STIX]{\STIX\ Variable-sized Math Operators} \ltidxboth{variable-sized}{symbols} \ltindex{integrals} \label{stix-large} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{longtable}{*2{c@{\quad}cl@{\qquad}}c@{\quad}cl} \multicolumn{9}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{9}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \KN[\STIXtawintslop][\STIXdawintslop]\awint & \KN[\STIXtcoprodop][\STIXdcoprodop]\coprod & \KN[\STIXtoiiintslop][\STIXdoiiintslop]\oiiint \\ \KN[\STIXtBbbsumop][\STIXdBbbsumop]\Bbbsum & \KN[\STIXtdisjquantop][\STIXddisjquantop]\disjquant & \KN[\STIXtoiintslop][\STIXdoiintslop]\oiint \\ \KN[\STIXtbigcapop][\STIXdbigcapop]\bigcap & \KN[\STIXtfintslop][\STIXdfintslop]\fint & \KN[\STIXtointslop][\STIXdointslop]\oint \\ \KN[\STIXtbigcupop][\STIXdbigcupop]\bigcup & \KN[\STIXtiiiintslop][\STIXdiiiintslop]\iiiint & \KN[\STIXtointctrclockwiseslop][\STIXdointctrclockwiseslop]\ointctrclockwise \\ \KN[\STIXtbigcupdotop][\STIXdbigcupdotop]\bigcupdot & \KN[\STIXtiiintslop][\STIXdiiintslop]\iiint & \KN[\STIXtpointintslop][\STIXdpointintslop]\pointint \\ \KN[\STIXtbigodotop][\STIXdbigodotop]\bigodot & \KN[\STIXtiintslop][\STIXdiintslop]\iint & \KN[\STIXtprodop][\STIXdprodop]\prod \\ \KN[\STIXtbigoplusop][\STIXdbigoplusop]\bigoplus & \KN[\STIXtintslop][\STIXdintslop]\int & \KN[\STIXtrppolintslop][\STIXdrppolintslop]\rppolint \\ \KN[\STIXtbigotimesop][\STIXdbigotimesop]\bigotimes & \KN[\STIXtintbarslop][\STIXdintbarslop]\intbar & \KN[\STIXtscpolintslop][\STIXdscpolintslop]\scpolint \\ \KN[\STIXtbigsqcapop][\STIXdbigsqcapop]\bigsqcap & \KN[\STIXtintBarslop][\STIXdintBarslop]\intBar & \KN[\STIXtsqintslop][\STIXdsqintslop]\sqint \\ \KN[\STIXtbigsqcupop][\STIXdbigsqcupop]\bigsqcup & \KN[\STIXtintcapslop][\STIXdintcapslop]\intcap & \KN[\STIXtsumop][\STIXdsumop]\sum \\ \KN[\STIXtbigtalloblongop][\STIXdbigtalloblongop]\bigtalloblong & \KN[\STIXtintclockwiseslop][\STIXdintclockwiseslop]\intclockwise & \KN[\STIXtsumintslop][\STIXdsumintslop]\sumint \\ \KN[\STIXtbigtimesop][\STIXdbigtimesop]\bigtimes & \KN[\STIXtintcupslop][\STIXdintcupslop]\intcup & \KN[\STIXtupintslop][\STIXdupintslop]\upint \\ \KN[\STIXtbiguplusop][\STIXdbiguplusop]\biguplus & \KN[\STIXtintlarhkslop][\STIXdintlarhkslop]\intlarhk & \KN[\STIXtvarointclockwiseslop][\STIXdvarointclockwiseslop]\varointclockwise \\ \KN[\STIXtbigveeop][\STIXdbigveeop]\bigvee & \KN[\STIXtintxslop][\STIXdintxslop]\intx & \KN[\STIXtxbsolop][\STIXdxbsolop]\xbsol \\ \KN[\STIXtbigwedgeop][\STIXdbigwedgeop]\bigwedge & \KN[\STIXtlowintslop][\STIXdlowintslop]\lowint & \KN[\STIXtxsolop][\STIXdxsolop]\xsol \\ \KN[\STIXtcirfnintslop][\STIXdcirfnintslop]\cirfnint & \KN[\STIXtmodtwosumop][\STIXdmodtwosumop]\modtwosum & \\ \KN[\STIXtconjquantop][\STIXdconjquantop]\conjquant & \KN[\STIXtnpolintslop][\STIXdnpolintslop]\npolint & \\ \end{longtable} \begin{tablenote} By default, each of the integral-producing commands in \ref{stix-large} points to a slanted version of the glyph, as shown. The \optname{stix}{upint} package option typesets each integral instead as an upright version. Slanted and upright integrals can be mixed, however, by explicitly using the commands shown in \ref{stix-large-all}. \end{tablenote} \end{longsymtable} \begin{longsymtable}[STIX]{\STIX\ Integrals with Explicit Slant} \ltidxboth{variable-sized}{symbols} \ltindex{integrals} \label{stix-large-all} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{longtable}{c@{\quad}cl @{\qquad} c@{\quad}cl} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \KN[\STIXtintslop][\STIXdintslop]\intsl & \KN[\STIXtintupop][\STIXdintupop]\intup \\ \KN[\STIXtiintslop][\STIXdiintslop]\iintsl & \KN[\STIXtiintupop][\STIXdiintupop]\iintup \\ \KN[\STIXtiiintslop][\STIXdiiintslop]\iiintsl & \KN[\STIXtiiintupop][\STIXdiiintupop]\iiintup \\ \KN[\STIXtointslop][\STIXdointslop]\ointsl & \KN[\STIXtointupop][\STIXdointupop]\ointup \\ \KN[\STIXtoiintslop][\STIXdoiintslop]\oiintsl & \KN[\STIXtoiintupop][\STIXdoiintupop]\oiintup \\ \KN[\STIXtoiiintslop][\STIXdoiiintslop]\oiiintsl & \KN[\STIXtoiiintupop][\STIXdoiiintupop]\oiiintup \\ \KN[\STIXtintclockwiseslop][\STIXdintclockwiseslop]\intclockwisesl & \KN[\STIXtintclockwiseupop][\STIXdintclockwiseupop]\intclockwiseup \\ \KN[\STIXtvarointclockwiseslop][\STIXdvarointclockwiseslop]\varointclockwisesl & \KN[\STIXtvarointclockwiseupop][\STIXdvarointclockwiseupop]\varointclockwiseup \\ \KN[\STIXtointctrclockwiseslop][\STIXdointctrclockwiseslop]\ointctrclockwisesl & \KN[\STIXtointctrclockwiseupop][\STIXdointctrclockwiseupop]\ointctrclockwiseup \\ \KN[\STIXtsumintslop][\STIXdsumintslop]\sumintsl & \KN[\STIXtsumintupop][\STIXdsumintupop]\sumintup \\ \KN[\STIXtiiiintslop][\STIXdiiiintslop]\iiiintsl & \KN[\STIXtiiiintupop][\STIXdiiiintupop]\iiiintup \\ \KN[\STIXtintbarslop][\STIXdintbarslop]\intbarsl & \KN[\STIXtintbarupop][\STIXdintbarupop]\intbarup \\ \KN[\STIXtintBarslop][\STIXdintBarslop]\intBarsl & \KN[\STIXtintBarupop][\STIXdintBarupop]\intBarup \\ \KN[\STIXtfintslop][\STIXdfintslop]\fintsl & \KN[\STIXtfintupop][\STIXdfintupop]\fintup \\ \KN[\STIXtcirfnintslop][\STIXdcirfnintslop]\cirfnintsl & \KN[\STIXtcirfnintupop][\STIXdcirfnintupop]\cirfnintup \\ \KN[\STIXtawintslop][\STIXdawintslop]\awintsl & \KN[\STIXtawintupop][\STIXdawintupop]\awintup \\ \KN[\STIXtrppolintslop][\STIXdrppolintslop]\rppolintsl & \KN[\STIXtrppolintupop][\STIXdrppolintupop]\rppolintup \\ \KN[\STIXtscpolintslop][\STIXdscpolintslop]\scpolintsl & \KN[\STIXtscpolintupop][\STIXdscpolintupop]\scpolintup \\ \KN[\STIXtnpolintslop][\STIXdnpolintslop]\npolintsl & \KN[\STIXtnpolintupop][\STIXdnpolintupop]\npolintup \\ \KN[\STIXtpointintslop][\STIXdpointintslop]\pointintsl & \KN[\STIXtpointintupop][\STIXdpointintupop]\pointintup \\ \KN[\STIXtsqintslop][\STIXdsqintslop]\sqintsl & \KN[\STIXtsqintupop][\STIXdsqintupop]\sqintup \\ \KN[\STIXtintlarhkslop][\STIXdintlarhkslop]\intlarhksl & \KN[\STIXtintlarhkupop][\STIXdintlarhkupop]\intlarhkup \\ \KN[\STIXtintxslop][\STIXdintxslop]\intxsl & \KN[\STIXtintxupop][\STIXdintxupop]\intxup \\ \KN[\STIXtintcapslop][\STIXdintcapslop]\intcapsl & \KN[\STIXtintcapupop][\STIXdintcapupop]\intcapup \\ \KN[\STIXtintcupslop][\STIXdintcupslop]\intcupsl & \KN[\STIXtintcupupop][\STIXdintcupupop]\intcupup \\ \KN[\STIXtupintslop][\STIXdupintslop]\upintsl & \KN[\STIXtupintupop][\STIXdupintupop]\upintup \\ \KN[\STIXtlowintslop][\STIXdlowintslop]\lowintsl & \KN[\STIXtlowintupop][\STIXdlowintupop]\lowintup \\ \end{longtable} \begin{tablenote} Instead of using the preceding symbols directly, it is generally preferable to use the symbols listed in \ref{stix-large} either with or without the \optname{stix}{upint} package option. Specifying \optname{stix}{upint} selects each integral's upright (\texttt{up}) variant, while omitting \optname{stix}{upint} selects each integral's slanted (\texttt{sl}) variant. Use the symbols shown in \ref{stix-large-all} only when you need to include both upright and slanted variations of a symbol in the same document. \end{tablenote} \end{longsymtable} \begin{longsymtable}[CMUPINT]{\CMUPINT\ Variable-sized Upright Integrals} \ltidxboth{variable-sized}{symbols} \ltindex{integrals} \label{cmupint} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{longtable}{*2{c@{\quad}cl@{\hspace{4em}}}c@{\quad}cl} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \KN[\CMUPawintT][\CMUPawintD]\awint & \KN[\CMUPnpolintT][\CMUPnpolintD]\npolint \\ \KN[\CMUPbarintT][\CMUPbarintD]\barint & \KN[\CMUPoiiintT][\CMUPoiiintD]\oiiint \\ \KN[\CMUPcirfnintT][\CMUPcirfnintD]\cirfnint & \KN[\CMUPoiintT][\CMUPoiintD]\oiint \\ \KN[\CMUPdoublebarintT][\CMUPdoublebarintD]\doublebarint & \KN[\CMUPointT][\CMUPointD]\oint \\ \KN[\CMUPdownintT][\CMUPdownintD]\downint & \KN[\CMUPointclockwiseT][\CMUPointclockwiseD]\ointclockwise \\ \KN[\CMUPfintT][\CMUPfintD]\fint & \KN[\CMUPointctrclockwiseT][\CMUPointctrclockwiseD]\ointctrclockwise \\ \KN[\CMUPidotsintT][\CMUPidotsintD]\idotsint$^*$ & \KN[\CMUPpointintT][\CMUPpointintD]\pointint \\ \KN[\CMUPiiiintT][\CMUPiiiintD]\iiiint & \KN[\CMUPrppolintT][\CMUPrppolintD]\rppolint \\ \KN[\CMUPiiintT][\CMUPiiintD]\iiint & \KN[\CMUPscpolintT][\CMUPscpolintD]\scpolint \\ \KN[\CMUPiintT][\CMUPiintD]\iint & \KN[\CMUPsqiintT][\CMUPsqiintD]\sqiint \\ \KN[\CMUPintT][\CMUPintD]\int & \KN[\CMUPsqintT][\CMUPsqintD]\sqint \\ \KN[\CMUPintcapT][\CMUPintcapD]\intcap & \KN[\CMUPsumintT][\CMUPsumintD]\sumint \\ \KN[\CMUPintclockwiseT][\CMUPintclockwiseD]\intclockwise & \KN[\CMUPupintT][\CMUPupintD]\upint \\ \KN[\CMUPintcupT][\CMUPintcupD]\intcup & \KN[\CMUPvaridotsintT][\CMUPvaridotsintD]\varidotsint$^*$ \\ \KN[\CMUPintlarhkT][\CMUPintlarhkD]\intlarhk & \KN[\CMUPvarointclockwiseT][\CMUPvarointclockwiseD]\varointclockwise \\ \KN[\CMUPlanddownintT][\CMUPlanddownintD]\landdownint & \KN[\CMUPvarointctrclockwiseT][\CMUPvarointctrclockwiseD]\varointctrclockwise \\ \KN[\CMUPlandupintT][\CMUPlandupintD]\landupint & \KN[\CMUPxintT][\CMUPxintD]\xint \\ \end{longtable} \begin{tablenote} \CMUPINT\ additionally provides \cmdI[\CMUPintT]{\longint}, \cmdI[\CMUPiintT]{\longiint}, \cmdI[\CMUPointT]{\longoint}, and \cmdI[\CMUPoiintT]{\longoiint} commands that stretch arbitrarily tall. \seedocs{\CMUPINT}. \end{tablenote} \bigskip \begin{tablenote}[*] \cmdI[\CMUPvaridotsintT]{\varidotsint} is always drawn as is. \cmdI[\CMUPvaridotsintT]{\idotsint} is drawn identically to \cmdI[\CMUPvaridotsintT]{\varidotsint} when \pkgname{amsmath} is not loaded or with more space surrounding each dot when \pkgname{amsmath} is loaded. \end{tablenote} \end{longsymtable} \begin{symtable}[MDES]{\MDES\ Variable-sized Math Operators} \idxboth{variable-sized}{symbols} \index{integrals} \label{mdes-large} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{*2{c@{\quad}cl@{\hspace{4em}}}c@{\quad}cl} \KN[\MDESintclockwisesm][\MDESintclockwise]\intclockwise & \KN[\MDESointclockwisesm][\MDESointclockwise]\ointclockwise \\ \KN[\MDESoiiintsm][\MDESoiiint]\oiiint & \KN[\MDESointctrclockwisesm][\MDESointctrclockwise]\ointctrclockwise \\ \KN[\MDESoiintsm][\MDESoiint]\oiint & \\ \end{tabular} \bigskip \begin{tablenote} The \MDES\ package provides three versions of each integral---in fact, of every symbol---to accompany different text fonts: \PSfont{Utopia}~(\raisebox{2ex}{\usefont{OMX}{mdput}{m}{n}\char"52}), \PSfont{Garamond}~(\raisebox{2ex}{\usefont{OMX}{mdugm}{m}{n}\char"52}), and \PSfont{Charter}~(\raisebox{2ex}{\usefont{OMX}{mdbch}{m}{n}\char"52}). \end{tablenote} \end{symtable} \begin{symtable}[PRODINT]{\PRODINT\ Variable-sized Math Operators} \idxboth{variable-sized}{symbols} \idxboth{product}{integrals} \label{prodint} \begin{tabular}{*3{ll}} \K\prodi & \K\Prodi & \K\PRODI \\ \end{tabular} \bigskip \begin{tablenote} \PRODINT\ currently requires the author to manually specify \cmd{\prodi} for inlined expressions (\verb|$|\dots\verb|$|), \cmd{\Prodi} for displayed math (\verb|\[|\dots\verb|\]|), and \cmd{\PRODI} for displayed math involving tall integrands. The package does not define a product integral command that scales automatically akin to the symbols in \ref{op}. \end{tablenote} \end{symtable} \begin{symtable}[CMLL]{\CMLL\ Large Math Operators} \idxboth{linear logic}{symbols} \label{cmll-large} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{ll@{\qquad}ll} \K[\CMLLbigparr]\bigparr$^*$ & \K[\CMLLbigwith]\bigwith \\ \end{tabular} \bigskip \begin{tablenote}[*] \CMLL\ defines \cmdI[\CMLLbigparr]{\biginvamp} as a synonym for \cmdI[\CMLLbigparr]{\bigparr}. \end{tablenote} \end{symtable} \begin{symtable}{Binary Relations} \idxboth{relational}{symbols} \index{tacks} \label{rel} \begin{tabular}{*4{ll}} \X\approx & \X\equiv & \X\perp & \X\smile \\ \X\asymp & \X\frown & \X\prec & \X\succ \\ \X\bowtie & \X\Join$^*$ & \X\preceq & \X\succeq \\ \X\cong & \X\mid$^\dag$ & \X\propto & \X\vdash \\ \X\dashv & \X\models & \X\sim \\ \X\doteq & \X\parallel & \X\simeq \\ \end{tabular} \bigskip \notpredefinedmessage \bigskip \begin{tablenote}[\dag] The difference between \cmdX{\mid} and \verb+|+\index{_=\magicvertname{} ($\vert$)} is that the former is a binary relation while the latter is a math ordinal. Consequently, \latex\ typesets the two with different surrounding spacing. Contrast ``\verb+P(A | B)+''~$\mapsto$ \mbox{``$P(A | B)$''} with ``\verb+P(A \mid B)+''~$\mapsto$ \mbox{``$P(A \mid B)$''}. \end{tablenote} \end{symtable} \begin{symtable}[AMS]{\AMS\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \index{pitchforks} \label{ams-rel} \begin{tabular}{*3{ll}} \X\approxeq & \X\eqcirc & \X\succapprox \\ \X\backepsilon & \X\fallingdotseq & \X\succcurlyeq \\ \X\backsim & \X\multimap & \X\succsim \\ \X\backsimeq & \X\pitchfork & \X\therefore \\ \X\because & \X\precapprox & \X\thickapprox \\ \X\between & \X\preccurlyeq & \X\thicksim \\ \X\Bumpeq & \X\precsim & \X\varpropto \\ \X\bumpeq & \X\risingdotseq & \X\Vdash \\ \X\circeq & \X\shortmid & \X\vDash \\ \X\curlyeqprec & \X\shortparallel & \X\Vvdash \\ \X\curlyeqsucc & \X\smallfrown & \\ \X\doteqdot & \X\smallsmile & \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Negated Binary Relations} \index{binary relations>negated} \index{relational symbols>negated binary} \label{ams-nrel} \begin{tabular}{*3{ll}} \X\ncong & \X\nshortparallel & \X\nVDash \\ \X\nmid & \X\nsim & \X\precnapprox \\ \X\nparallel & \X\nsucc & \X\precnsim \\ \X\nprec & \X\nsucceq & \X\succnapprox \\ \X\npreceq & \X\nvDash & \X\succnsim \\ \X\nshortmid & \X\nvdash \\ \end{tabular} \end{symtable} \begin{symtable}[ST]{\ST\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \label{st-rel} \begin{tabular}{*2{ll}} \X\inplus & \X\niplus \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \label{wasy-rel} \begin{tabular}{*3{ll}} \X\invneg & \X\leadsto & \X\wasypropto \\ \X\Join & \X\logof \\ \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \label{txpx-rel} \begin{tabular}{*3{ll}} \X\circledgtr & \X\lJoin & \X\opentimes \\ \X\circledless & \X\lrtimes & \X\Perp \\ \X\colonapprox & \X\multimap & \X\preceqq \\ \X\Colonapprox & \X\multimapboth & \X\precneqq \\ \X\coloneq & \X\multimapbothvert & \X\rJoin \\ \X\Coloneq & \X\multimapdot & \X\strictfi \\ \X\Coloneqq & \X\multimapdotboth & \X\strictif \\ \X\coloneqq$^*$ & \X\multimapdotbothA & \X\strictiff \\ \X\Colonsim & \X\multimapdotbothAvert & \X\succeqq \\ \X\colonsim & \X\multimapdotbothB & \X\succneqq \\ \X\Eqcolon & \X\multimapdotbothBvert & \X\varparallel \\ \X\eqcolon & \X\multimapdotbothvert & \X\varparallelinv \\ \X\eqqcolon & \X\multimapdotinv & \X\VvDash \\ \X\Eqqcolon & \X\multimapinv \\ \X\eqsim & \X\openJoin \\ \end{tabular} \bigskip \begin{tablenote}[*] As an alternative to using \TXPX, a ``$\mathrel{\mathop:}=$'' symbol can be constructed with ``\verb|\mathrel{\mathop:}=|''. \end{tablenote} \end{symtable} \begin{symtable}[TX]{\TXPX\ Negated Binary Relations} \index{binary relations>negated} \index{relational symbols>negated binary} \label{txpx-nrel} \begin{tabular}{*3{ll}} \X\napproxeq & \X\npreccurlyeq & \X\nthickapprox \\ \X\nasymp & \X\npreceqq & \X\ntwoheadleftarrow \\ \X\nbacksim & \X\nprecsim & \X\ntwoheadrightarrow \\ \X\nbacksimeq & \X\nsimeq & \X\nvarparallel \\ \X\nbumpeq & \X\nsuccapprox & \X\nvarparallelinv \\ \X\nBumpeq & \X\nsucccurlyeq & \X\nVdash \\ \X\nequiv & \X\nsucceqq \\ \X\nprecapprox & \X\nsuccsim \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \label{abx-rel} \begin{tabular}{*3{ll}} \X[\ABXbetween]\between & \X[\ABXdivides]\divides & \X[\ABXrisingdotseq]\risingdotseq \\ \X[\ABXbotdoteq]\botdoteq & \X[\ABXdotseq]\dotseq & \X[\ABXsuccapprox]\succapprox \\ \X[\ABXBumpedeq]\Bumpedeq & \X[\ABXeqbumped]\eqbumped & \X[\ABXsucccurlyeq]\succcurlyeq \\ \X[\ABXbumpedeq]\bumpedeq & \X[\ABXeqcirc]\eqcirc & \X[\ABXsuccdot]\succdot \\ \X[\ABXcirceq]\circeq & \X[\ABXeqcolon]\eqcolon & \X[\ABXsuccsim]\succsim \\ \X[\ABXcoloneq]\coloneq & \X[\ABXfallingdotseq]\fallingdotseq & \X[\ABXtherefore]\therefore \\ \X[\ABXcorresponds]\corresponds & \X[\ABXggcurly]\ggcurly & \X[\ABXtopdoteq]\topdoteq \\ \X[\ABXcurlyeqprec]\curlyeqprec & \X[\ABXllcurly]\llcurly & \X[\ABXvDash]\vDash \\ \X[\ABXcurlyeqsucc]\curlyeqsucc & \X[\ABXprecapprox]\precapprox & \X[\ABXVdash]\Vdash \\ \X[\ABXDashV]\DashV & \X[\ABXpreccurlyeq]\preccurlyeq & \X[\ABXVDash]\VDash \\ \X[\ABXDashv]\Dashv & \X[\ABXprecdot]\precdot & \X[\ABXVvdash]\Vvdash \\ \X[\ABXdashVv]\dashVv & \X[\ABXprecsim]\precsim \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Negated Binary Relations} \index{binary relations>negated}\index{relational symbols>negated binary} \label{abx-nrel} \begin{tabular}{*3{ll}} \X[\ABXnapprox]\napprox & \X[\ABXnotperp]\notperp & \X[\ABXnvDash]\nvDash \\ \X[\ABXncong]\ncong & \X[\ABXnprec]\nprec & \X[\ABXnVDash]\nVDash \\ \X[\ABXncurlyeqprec]\ncurlyeqprec & \X[\ABXnprecapprox]\nprecapprox & \X[\ABXnVdash]\nVdash \\ \X[\ABXncurlyeqsucc]\ncurlyeqsucc & \X[\ABXnpreccurlyeq]\npreccurlyeq & \X[\ABXnvdash]\nvdash \\ \X[\ABXnDashv]\nDashv & \X[\ABXnpreceq]\npreceq & \X[\ABXnVvash]\nVvash \\ \X[\ABXndashV]\ndashV & \X[\ABXnprecsim]\nprecsim & \X[\ABXprecnapprox]\precnapprox \\ \X[\ABXndashv]\ndashv & \X[\ABXnsim]\nsim & \X[\ABXprecneq]\precneq \\ \X[\ABXnDashV]\nDashV & \X[\ABXnsimeq]\nsimeq & \X[\ABXprecnsim]\precnsim \\ \X[\ABXndashVv]\ndashVv & \X[\ABXnsucc]\nsucc & \X[\ABXsuccnapprox]\succnapprox \\ \X[\ABXneq]\neq & \X[\ABXnsuccapprox]\nsuccapprox & \X[\ABXsuccneq]\succneq \\ \X[\ABXnotasymp]\notasymp & \X[\ABXnsucccurlyeq]\nsucccurlyeq & \X[\ABXsuccnsim]\succnsim \\ \X[\ABXnotdivides]\notdivides & \X[\ABXnsucceq]\nsucceq \\ \X[\ABXnotequiv]\notequiv & \X[\ABXnsuccsim]\nsuccsim \\ \end{tabular} \bigskip \begin{tablenote} \index{not equal=not equal ($\ABXvarnotsign!=$ vs.\ $\ABXnotsign!=$)} The \cmd{\changenotsign} command toggles the behavior of \cmd{\not} to produce either a vertical or a diagonal slash through a binary operator. Thus, ``\verb|$a \not= b$|'' can be made to produce either ``$a \ABXnotsign= b$'' or ``$a \ABXvarnotsign= b$''. \end{tablenote} \end{symtable} \begin{longsymtable}[MNS]{\MNS\ Binary Relations} \ltindex{binary relations} \ltindex{relational symbols>binary} \label{mns-rel} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\MNSapprox]\approx & \K[\MNShateq]\hateq & \K[\MNSrightpropto]\rightpropto \\ \K[\MNSapproxeq]\approxeq & \K[\MNShcrossing]\hcrossing & \K[\MNSrightslice]\rightslice \\ \K[\MNSbackapprox]\backapprox & \K[\MNSleftfootline]\leftfootline & \K[\MNSrightVdash]\rightVdash \\ \K[\MNSbackapproxeq]\backapproxeq & \K[\MNSleftfree]\leftfree & \K[\MNSrightvdash]\rightvdash \\ \K[\MNSbackcong]\backcong & \K[\MNSleftmodels]\leftmodels & \K[\MNSrisingdotseq]\risingdotseq \\ \K[\MNSbackeqsim]\backeqsim & \K[\MNSleftModels]\leftModels & \K[\MNSsefootline]\sefootline \\ \K[\MNSbacksim]\backsim & \K[\MNSleftpropto]\leftpropto & \K[\MNSsefree]\sefree \\ \K[\MNSbacksimeq]\backsimeq & \K[\MNSleftrightline]\leftrightline & \K[\MNSseModels]\seModels \\ \K[\MNSbacktriplesim]\backtriplesim & \K[\MNSLeftrightline]\Leftrightline & \K[\MNSsemodels]\semodels \\ \K[\MNSbetween]\between & \K[\MNSleftslice]\leftslice & \K[\MNSseparated]\separated \\ \K[\MNSbumpeq]\bumpeq & \K[\MNSleftVdash]\leftVdash & \K[\MNSseVdash]\seVdash \\ \K[\MNSBumpeq]\Bumpeq & \K[\MNSleftvdash]\leftvdash & \K[\MNSsevdash]\sevdash \\ \K[\MNScirceq]\circeq & \K[\MNSnefootline]\nefootline & \K[\MNSshortparallel]\shortparallel \\ \K[\MNSclosedequal]\closedequal & \K[\MNSnefree]\nefree & \K[\MNSsim]\sim \\ \K[\MNSclosedprec]\closedprec & \K[\MNSneModels]\neModels & \K[\MNSsimeq]\simeq \\ \K[\MNSclosedsucc]\closedsucc & \K[\MNSnemodels]\nemodels & \K[\MNSsucc]\succ \\ \K[\MNScoloneq]\coloneq & \K[\MNSneswline]\neswline & \K[\MNSsuccapprox]\succapprox \\ \K[\MNScong]\cong & \K[\MNSNeswline]\Neswline & \K[\MNSsucccurlyeq]\succcurlyeq \\ \K[\MNScurlyeqprec]\curlyeqprec & \K[\MNSneVdash]\neVdash & \K[\MNSsucceq]\succeq \\ \K[\MNScurlyeqsucc]\curlyeqsucc & \K[\MNSnevdash]\nevdash & \K[\MNSsuccsim]\succsim \\ \K[\MNSDoteq]\Doteq & \K[\MNSnwfootline]\nwfootline & \K[\MNSswfootline]\swfootline \\ \K[\MNSdoteq]\doteq & \K[\MNSnwfree]\nwfree & \K[\MNSswfree]\swfree \\ \K[\MNSdownfootline]\downfootline & \K[\MNSnwmodels]\nwmodels & \K[\MNSswModels]\swModels \\ \K[\MNSdownfree]\downfree & \K[\MNSnwModels]\nwModels & \K[\MNSswmodels]\swmodels \\ \K[\MNSdownmodels]\downmodels & \K[\MNSnwsecrossing]\nwsecrossing & \K[\MNSswVdash]\swVdash \\ \K[\MNSdownModels]\downModels & \K[\MNSNwseline]\Nwseline & \K[\MNSswvdash]\swvdash \\ \K[\MNSdownpropto]\downpropto & \K[\MNSnwseline]\nwseline & \K[\MNStriplesim]\triplesim \\ \K[\MNSdownvdash]\downvdash & \K[\MNSnwvdash]\nwvdash & \K[\MNSupdownline]\updownline \\ \K[\MNSdownVdash]\downVdash & \K[\MNSnwVdash]\nwVdash & \K[\MNSUpdownline]\Updownline \\ \K[\MNSeqbump]\eqbump & \K[\MNSprec]\prec & \K[\MNSupfootline]\upfootline \\ \K[\MNSeqcirc]\eqcirc & \K[\MNSprecapprox]\precapprox & \K[\MNSupfree]\upfree \\ \K[\MNSeqdot]\eqdot & \K[\MNSpreccurlyeq]\preccurlyeq & \K[\MNSupModels]\upModels \\ \K[\MNSeqsim]\eqsim & \K[\MNSpreceq]\preceq & \K[\MNSupmodels]\upmodels \\ \K[\MNSequal]\equal & \K[\MNSprecsim]\precsim & \K[\MNSuppropto]\uppropto \\ \K[\MNSequalclosed]\equalclosed & \K[\MNSrightfootline]\rightfootline & \K[\MNSupvdash]\upvdash \\ \K[\MNSequiv]\equiv & \K[\MNSrightfree]\rightfree & \K[\MNSupVdash]\upVdash \\ \K[\MNSequivclosed]\equivclosed & \K[\MNSrightmodels]\rightmodels & \K[\MNSvcrossing]\vcrossing \\ \K[\MNSfallingdotseq]\fallingdotseq & \K[\MNSrightModels]\rightModels & \K[\MNSVvdash]\Vvdash \\ \end{longtable} \MNS\ additionally defines synonyms for some of the preceding symbols: \bigskip \newcommand*{\mnssyn}[1]{(same as \texttt{\string#1})} \begin{tabular}{ll@{\quad}l} \K[\MNSleftvdash]\dashv & \mnssyn\leftvdash \\ \K[\MNSnwseline]\diagdown & \mnssyn\nwseline \\ \K[\MNSneswline]\diagup & \mnssyn\neswline \\ \K[\MNSneswline]\divides & \mnssyn\updownline \\ \K[\MNSDoteq]\doteqdot & \mnssyn\Doteq \\ \K[\MNSrightmodels]\models & \mnssyn\rightmodels \\ \K[\MNSUpdownline]\parallel & \mnssyn\Updownline \\ \K[\MNSupvdash]\perp & \mnssyn\upvdash \\ \K[\MNSleftpropto]\propto & \mnssyn\leftpropto \\ \K[\MNSleftrightline]\relbar & \mnssyn\leftrightline \\ \K[\MNSLeftrightline]\Relbar & \mnssyn\Leftrightline \\ \K[\MNSleftpropto]\varpropto & \mnssyn\leftpropto \\ \K[\MNSrightmodels]\vDash & \mnssyn\rightmodels \\ \K[\MNSrightModels]\VDash & \mnssyn\rightModels \\ \K[\MNSrightvdash]\vdash & \mnssyn\rightvdash \\ \K[\MNSrightVdash]\Vdash & \mnssyn\rightVdash \\ \end{tabular} \end{longsymtable} \begin{longsymtable}[MNS]{\MNS\ Negated Binary Relations} \ltindex{binary relations>negated} \ltindex{relational symbols>negated binary} \label{mns-nrel} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\MNSnapprox]\napprox & \K[\MNSnleftfootline]\nleftfootline & \K[\MNSnrisingdotseq]\nrisingdotseq \\ \K[\MNSnapproxeq]\napproxeq & \K[\MNSnleftfree]\nleftfree & \K[\MNSnsefootline]\nsefootline \\ \K[\MNSnbackapprox]\nbackapprox & \K[\MNSnleftmodels]\nleftmodels & \K[\MNSnsefree]\nsefree \\ \K[\MNSnbackapproxeq]\nbackapproxeq & \K[\MNSnleftModels]\nleftModels & \K[\MNSnseModels]\nseModels \\ \K[\MNSnbackcong]\nbackcong & \K[\MNSnleftrightline]\nleftrightline & \K[\MNSnsemodels]\nsemodels \\ \K[\MNSnbackeqsim]\nbackeqsim & \K[\MNSnLeftrightline]\nLeftrightline & \K[\MNSnsevdash]\nsevdash \\ \K[\MNSnbacksim]\nbacksim & \K[\MNSnleftvdash]\nleftvdash & \K[\MNSnseVdash]\nseVdash \\ \K[\MNSnbacksimeq]\nbacksimeq & \K[\MNSnleftVdash]\nleftVdash & \K[\MNSnshortmid]\nshortmid \\ \K[\MNSnbacktriplesim]\nbacktriplesim & \K[\MNSnnefootline]\nnefootline & \K[\MNSnshortparallel]\nshortparallel \\ \K[\MNSnbumpeq]\nbumpeq & \K[\MNSnnefree]\nnefree & \K[\MNSnsim]\nsim \\ \K[\MNSnBumpeq]\nBumpeq & \K[\MNSnnemodels]\nnemodels & \K[\MNSnsimeq]\nsimeq \\ \K[\MNSncirceq]\ncirceq & \K[\MNSnneModels]\nneModels & \K[\MNSnsucc]\nsucc \\ \K[\MNSnclosedequal]\nclosedequal & \K[\MNSnneswline]\nneswline & \K[\MNSnsuccapprox]\nsuccapprox \\ \K[\MNSncong]\ncong & \K[\MNSnNeswline]\nNeswline & \K[\MNSnsucccurlyeq]\nsucccurlyeq \\ \K[\MNSncurlyeqprec]\ncurlyeqprec & \K[\MNSnneVdash]\nneVdash & \K[\MNSnsucceq]\nsucceq \\ \K[\MNSncurlyeqsucc]\ncurlyeqsucc & \K[\MNSnnevdash]\nnevdash & \K[\MNSnsuccsim]\nsuccsim \\ \K[\MNSndoteq]\ndoteq & \K[\MNSnnwfootline]\nnwfootline & \K[\MNSnswfootline]\nswfootline \\ \K[\MNSnDoteq]\nDoteq & \K[\MNSnnwfree]\nnwfree & \K[\MNSnswfree]\nswfree \\ \K[\MNSndownfootline]\ndownfootline & \K[\MNSnnwmodels]\nnwmodels & \K[\MNSnswModels]\nswModels \\ \K[\MNSndownfree]\ndownfree & \K[\MNSnnwModels]\nnwModels & \K[\MNSnswmodels]\nswmodels \\ \K[\MNSndownModels]\ndownModels & \K[\MNSnNwseline]\nNwseline & \K[\MNSnswvdash]\nswvdash \\ \K[\MNSndownmodels]\ndownmodels & \K[\MNSnnwseline]\nnwseline & \K[\MNSnswVdash]\nswVdash \\ \K[\MNSndownVdash]\ndownVdash & \K[\MNSnnwvdash]\nnwvdash & \K[\MNSntriplesim]\ntriplesim \\ \K[\MNSndownvdash]\ndownvdash & \K[\MNSnnwVdash]\nnwVdash & \K[\MNSnUpdownline]\nUpdownline \\ \K[\MNSneqbump]\neqbump & \K[\MNSnprec]\nprec & \K[\MNSnupdownline]\nupdownline \\ \K[\MNSneqcirc]\neqcirc & \K[\MNSnprecapprox]\nprecapprox & \K[\MNSnupfootline]\nupfootline \\ \K[\MNSneqdot]\neqdot & \K[\MNSnpreccurlyeq]\npreccurlyeq & \K[\MNSnupfree]\nupfree \\ \K[\MNSneqsim]\neqsim & \K[\MNSnpreceq]\npreceq & \K[\MNSnupModels]\nupModels \\ \K[\MNSnequal]\nequal & \K[\MNSnprecsim]\nprecsim & \K[\MNSnupmodels]\nupmodels \\ \K[\MNSnequalclosed]\nequalclosed & \K[\MNSnrightfootline]\nrightfootline & \K[\MNSnupVdash]\nupVdash \\ \K[\MNSnequiv]\nequiv & \K[\MNSnrightfree]\nrightfree & \K[\MNSnupvdash]\nupvdash \\ \K[\MNSnequivclosed]\nequivclosed & \K[\MNSnrightModels]\nrightModels & \K[\MNSprecnapprox]\precnapprox \\ \K[\MNSneswcrossing]\neswcrossing & \K[\MNSnrightmodels]\nrightmodels & \K[\MNSprecnsim]\precnsim \\ \K[\MNSnfallingdotseq]\nfallingdotseq & \K[\MNSnrightvdash]\nrightvdash & \K[\MNSsuccnapprox]\succnapprox \\ \K[\MNSnhateq]\nhateq & \K[\MNSnrightVdash]\nrightVdash & \K[\MNSsuccnsim]\succnsim \\ \end{longtable} \MNS\ additionally defines synonyms for some of the preceding symbols: \bigskip \newcommand*{\mnssyn}[1]{(same as \texttt{\string#1})} \begin{tabular}{ll@{\quad}l} \K[\MNSnleftvdash]\ndashv & \mnssyn\nleftvdash \\ \K[\MNSnnwseline]\ndiagdown & \mnssyn\nnwseline \\ \K[\MNSnneswline]\ndiagup & \mnssyn\nneswline \\ \K[\MNSnupdownline]\ndivides & \mnssyn\nupdownline \\ \K[\MNSnequal]\ne & \mnssyn\nequal \\ \K[\MNSnequal]\neq & \mnssyn\nequal \\ \K[\MNSnupdownline]\nmid & \mnssyn\nupdownline \\ \K[\MNSnrightmodels]\nmodels & \mnssyn\nrightmodels \\ \K[\MNSnUpdownline]\nparallel & \mnssyn\nUpdownline \\ \K[\MNSnupvdash]\nperp & \mnssyn\nupvdash \\ \K[\MNSnleftrightline]\nrelbar & \mnssyn\nleftrightline \\ \K[\MNSnLeftrightline]\nRelbar & \mnssyn\nLeftrightline \\ \K[\MNSnrightmodels]\nvDash & \mnssyn\nrightmodels \\ \K[\MNSnrightvdash]\nvdash & \mnssyn\nrightvdash \\ \K[\MNSnrightVdash]\nVdash & \mnssyn\nrightVdash \\ \K[\MNSnrightModels]\nVDash & \mnssyn\nrightModels \\ \end{tabular} \end{longsymtable} \begin{longsymtable}[FDSYM]{\FDSYM\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \label{fdsym-rel} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMapprox]\approx & \K[\FDSYMequiv]\equiv & \K[\FDSYMrightmodels]\rightmodels \\ \K[\FDSYMapproxeq]\approxeq & \K[\FDSYMfallingdotseq]\fallingdotseq & \K[\FDSYMrightVdash]\rightVdash \\ \K[\FDSYMbackcong]\backcong & \K[\FDSYMfrown]\frown & \K[\FDSYMrightVDash]\rightVDash \\ \K[\FDSYMbackpropto]\backpropto & \K[\FDSYMfrowneq]\frowneq & \K[\FDSYMrightvdash]\rightvdash \\ \K[\FDSYMbacksim]\backsim & \K[\FDSYMfrownsmile]\frownsmile & \K[\FDSYMrightvDash]\rightvDash \\ \K[\FDSYMbacksimeq]\backsimeq & \K[\FDSYMin]\in & \K[\FDSYMrisingdotseq]\risingdotseq \\ \K[\FDSYMbetween]\between & \K[\FDSYMleftassert]\leftassert & \K[\FDSYMshortmid]\shortmid \\ \K[\FDSYMbowtie]\bowtie & \K[\FDSYMleftAssert]\leftAssert & \K[\FDSYMshortparallel]\shortparallel \\ \K[\FDSYMbumpeq]\bumpeq & \K[\FDSYMleftfootline]\leftfootline & \K[\FDSYMsim]\sim \\ \K[\FDSYMBumpeq]\Bumpeq & \K[\FDSYMleftmodels]\leftmodels & \K[\FDSYMsimeq]\simeq \\ \K[\FDSYMbumpeqq]\bumpeqq & \K[\FDSYMleftvdash]\leftvdash & \K[\FDSYMsmile]\smile \\ \K[\FDSYMcirceq]\circeq & \K[\FDSYMleftvDash]\leftvDash & \K[\FDSYMsmileeq]\smileeq \\ \K[\FDSYMcoloneq]\coloneq & \K[\FDSYMleftVdash]\leftVdash & \K[\FDSYMsmilefrown]\smilefrown \\ \K[\FDSYMcong]\cong & \K[\FDSYMleftVDash]\leftVDash & \K[\FDSYMstareq]\stareq \\ \K[\FDSYMcrossing]\crossing & \K[\FDSYMlongleftfootline]\longleftfootline & \K[\FDSYMsucc]\succ \\ \K[\FDSYMcurlyeqprec]\curlyeqprec & \K[\FDSYMLongmapsfrom]\Longmapsfrom & \K[\FDSYMsuccapprox]\succapprox \\ \K[\FDSYMcurlyeqsucc]\curlyeqsucc & \K[\FDSYMlongmapsfrom]\longmapsfrom & \K[\FDSYMsucccurlyeq]\succcurlyeq \\ \K[\FDSYMdashVv]\dashVv & \K[\FDSYMlongrightfootline]\longrightfootline & \K[\FDSYMsucceq]\succeq \\ \K[\FDSYMDdashv]\Ddashv & \K[\FDSYMmid]\mid & \K[\FDSYMsucceqq]\succeqq \\ \X[\FDSYMdotcong]\dotcong & \K[\FDSYMowns]\owns & \K[\FDSYMsuccsim]\succsim \\ \K[\FDSYMdoteq]\doteq & \K[\FDSYMparallel]\parallel & \K[\FDSYMthickapprox]\thickapprox \\ \K[\FDSYMDoteq]\Doteq & \K[\FDSYMprec]\prec & \K[\FDSYMthicksim]\thicksim \\ \K[\FDSYMdotsminusdots]\dotsminusdots & \K[\FDSYMprecapprox]\precapprox & \K[\FDSYMtriplesim]\triplesim \\ \K[\FDSYMdownAssert]\downAssert & \K[\FDSYMpreccurlyeq]\preccurlyeq & \K[\FDSYMupassert]\upassert \\ \K[\FDSYMdownassert]\downassert & \K[\FDSYMpreceq]\preceq & \K[\FDSYMupAssert]\upAssert \\ \K[\FDSYMdownmodels]\downmodels & \K[\FDSYMpreceqq]\preceqq & \K[\FDSYMupmodels]\upmodels \\ \K[\FDSYMdownvDash]\downvDash & \K[\FDSYMprecnapprox]\precnapprox & \K[\FDSYMupvdash]\upvdash \\ \K[\FDSYMdownVdash]\downVdash & \K[\FDSYMprecneq]\precneq & \K[\FDSYMupvDash]\upvDash \\ \K[\FDSYMdownvdash]\downvdash & \K[\FDSYMprecneqq]\precneqq & \K[\FDSYMupVdash]\upVdash \\ \K[\FDSYMdownVDash]\downVDash & \K[\FDSYMprecnsim]\precnsim & \K[\FDSYMupVDash]\upVDash \\ \K[\FDSYMeqcirc]\eqcirc & \K[\FDSYMprecsim]\precsim & \K[\FDSYMvDdash]\vDdash \\ \K[\FDSYMeqcolon]\eqcolon & \K[\FDSYMpropto]\propto & \K[\FDSYMveeeq]\veeeq \\ \K[\FDSYMeqdot]\eqdot & \K[\FDSYMrightassert]\rightassert & \K[\FDSYMVvdash]\Vvdash \\ \K[\FDSYMeqsim]\eqsim & \K[\FDSYMrightAssert]\rightAssert & \K[\FDSYMwedgeq]\wedgeq \\ \K[\FDSYMequal]\equal & \K[\FDSYMrightfootline]\rightfootline & \\ \end{longtable} \FDSYM\ defines synonyms for many of the preceding symbols: \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMapproxident]{\approxident} & \K[\FDSYMdashV]{\dashV} & \K[\FDSYMshortrighttack]{\shortrighttack} \\ \K[\FDSYMarceq]{\arceq} & \K[\FDSYMdoteqdot]{\doteqdot} & \K[\FDSYMshortuptack]{\shortuptack} \\ \K[\FDSYMAssert]{\Assert} & \K[\FDSYMeqqcolon]{\eqqcolon} & \K[\FDSYMsmallfrown]{\smallfrown} \\ \K[\FDSYMassert]{\assert} & \K[\FDSYMhateq]\hateq & \K[\FDSYMsmallsmile]{\smallsmile} \\ \K[\FDSYMasymp]{\asymp} & \K[\FDSYMJoin]{\Join} & \K[\FDSYMvarpropto]{\varpropto} \\ \K[\FDSYMBarv]{\Barv} & \K[\FDSYMlongdashv]{\longdashv} & \K[\FDSYMvBar]{\vBar} \\ \K[\FDSYMbarV]{\barV} & \K[\FDSYMmodels]{\models} & \K[\FDSYMVbar]{\Vbar} \\ \K[\FDSYMclosure]{\closure} & \K[\FDSYMni]{\ni} & \K[\FDSYMvDash]{\vDash} \\ \K[\FDSYMcoloneqq]{\coloneqq} & \K[\FDSYMperp]{\perp} & \K[\FDSYMVDash]{\VDash} \\ \K[\FDSYMdashv]{\dashv} & \K[\FDSYMpropfrom]{\propfrom} & \K[\FDSYMVdash]{\Vdash} \\ \K[\FDSYMDashV]{\DashV} & \K[\FDSYMshortdowntack]{\shortdowntack} & \K[\FDSYMvdash]{\vdash} \\ \K[\FDSYMDashv]{\Dashv} & \K[\FDSYMshortlefttack]{\shortlefttack} & \K[\FDSYMvlongdash]{\vlongdash} \\ \end{longtable} \end{longsymtable} \begin{longsymtable}[FDSYM]{\FDSYM\ Negated Binary Relations} \index{binary relations>negated} \index{relational symbols>negated binary} \label{fdsym-nrel} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMbacksimneqq]\backsimneqq & \K[\FDSYMnin]\nin & \K[\FDSYMnsim]\nsim \\ \K[\FDSYMnapprox]\napprox & \K[\FDSYMnleftAssert]\nleftAssert & \K[\FDSYMnsimeq]\nsimeq \\ \K[\FDSYMnapproxeq]\napproxeq & \K[\FDSYMnleftassert]\nleftassert & \K[\FDSYMnsmile]\nsmile \\ \K[\FDSYMnbackcong]\nbackcong & \K[\FDSYMnleftfootline]\nleftfootline & \K[\FDSYMnsmileeq]\nsmileeq \\ \K[\FDSYMnbacksim]\nbacksim & \K[\FDSYMnleftmodels]\nleftmodels & \K[\FDSYMnsmilefrown]\nsmilefrown \\ \K[\FDSYMnbacksimeq]\nbacksimeq & \K[\FDSYMnleftvDash]\nleftvDash & \K[\FDSYMnstareq]\nstareq \\ \K[\FDSYMnbumpeq]\nbumpeq & \K[\FDSYMnleftvdash]\nleftvdash & \K[\FDSYMnsucc]\nsucc \\ \K[\FDSYMnBumpeq]\nBumpeq & \K[\FDSYMnleftVdash]\nleftVdash & \K[\FDSYMnsuccapprox]\nsuccapprox \\ \K[\FDSYMnbumpeqq]\nbumpeqq & \K[\FDSYMnleftVDash]\nleftVDash & \K[\FDSYMnsucccurlyeq]\nsucccurlyeq \\ \K[\FDSYMncirceq]\ncirceq & \K[\FDSYMnlongleftfootline]\nlongleftfootline & \K[\FDSYMnsucceq]\nsucceq \\ \K[\FDSYMncong]\ncong & \K[\FDSYMnLongmapsfrom]\nLongmapsfrom & \K[\FDSYMnsucceqq]\nsucceqq \\ \K[\FDSYMncurlyeqprec]\ncurlyeqprec & \K[\FDSYMnlongmapsfrom]\nlongmapsfrom & \K[\FDSYMnsuccsim]\nsuccsim \\ \K[\FDSYMncurlyeqsucc]\ncurlyeqsucc & \K[\FDSYMnlongrightfootline]\nlongrightfootline & \K[\FDSYMntriplesim]\ntriplesim \\ \K[\FDSYMndashVv]\ndashVv & \K[\FDSYMnmid]\nmid & \K[\FDSYMnupassert]\nupassert \\ \K[\FDSYMnDdashv]\nDdashv & \K[\FDSYMnowns]\nowns & \K[\FDSYMnupAssert]\nupAssert \\ \K[\FDSYMndoteq]\ndoteq & \K[\FDSYMnparallel]\nparallel & \K[\FDSYMnupmodels]\nupmodels \\ \K[\FDSYMnDoteq]\nDoteq & \K[\FDSYMnprec]\nprec & \K[\FDSYMnupVDash]\nupVDash \\ \K[\FDSYMndownassert]\ndownassert & \K[\FDSYMnprecapprox]\nprecapprox & \K[\FDSYMnupvDash]\nupvDash \\ \K[\FDSYMndownAssert]\ndownAssert & \K[\FDSYMnpreccurlyeq]\npreccurlyeq & \K[\FDSYMnupVdash]\nupVdash \\ \K[\FDSYMndownmodels]\ndownmodels & \K[\FDSYMnpreceq]\npreceq & \K[\FDSYMnupvdash]\nupvdash \\ \K[\FDSYMndownvdash]\ndownvdash & \K[\FDSYMnpreceqq]\npreceqq & \K[\FDSYMnvDdash]\nvDdash \\ \K[\FDSYMndownVdash]\ndownVdash & \K[\FDSYMnprecsim]\nprecsim & \K[\FDSYMnveeeq]\nveeeq \\ \K[\FDSYMndownVDash]\ndownVDash & \K[\FDSYMnrightassert]\nrightassert & \K[\FDSYMnVvdash]\nVvdash \\ \K[\FDSYMndownvDash]\ndownvDash & \K[\FDSYMnrightAssert]\nrightAssert & \K[\FDSYMnwedgeq]\nwedgeq \\ \K[\FDSYMneqcirc]\neqcirc & \K[\FDSYMnrightfootline]\nrightfootline & \K[\FDSYMprecneq]\precneq \\ \K[\FDSYMneqdot]\neqdot & \K[\FDSYMnrightmodels]\nrightmodels & \K[\FDSYMprecneqq]\precneqq \\ \K[\FDSYMneqsim]\neqsim & \K[\FDSYMnrightvdash]\nrightvdash & \K[\FDSYMsimneqq]\simneqq \\ \K[\FDSYMnequal]\nequal & \K[\FDSYMnrightVdash]\nrightVdash & \K[\FDSYMsuccnapprox]\succnapprox \\ \K[\FDSYMnequiv]\nequiv & \K[\FDSYMnrightvDash]\nrightvDash & \K[\FDSYMsuccneq]\succneq \\ \K[\FDSYMnfallingdotseq]\nfallingdotseq & \K[\FDSYMnrightVDash]\nrightVDash & \K[\FDSYMsuccneqq]\succneqq \\ \K[\FDSYMnfrown]\nfrown & \K[\FDSYMnrisingdotseq]\nrisingdotseq & \K[\FDSYMsuccnsim]\succnsim \\ \K[\FDSYMnfrowneq]\nfrowneq & \K[\FDSYMnshortmid]\nshortmid & \\ \K[\FDSYMnfrownsmile]\nfrownsmile & \K[\FDSYMnshortparallel]\nshortparallel & \\ \end{longtable} \FDSYM\ defines synonyms for many of the preceding symbols: \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMnapproxident]{\napproxident} & \K[\FDSYMndashV]{\ndashV} & \K[\FDSYMnshortrighttack]{\nshortrighttack} \\ \K[\FDSYMnarceq]{\narceq} & \K[\FDSYMne]{\ne} & \K[\FDSYMnshortuptack]{\nshortuptack} \\ \K[\FDSYMnAssert]{\nAssert} & \K[\FDSYMneq]{\neq} & \K[\FDSYMnsime]{\nsime} \\ \K[\FDSYMnassert]{\nassert} & \K[\FDSYMnhateq]{\nhateq} & \K[\FDSYMnvBar]{\nvBar} \\ \K[\FDSYMnasymp]{\nasymp} & \K[\FDSYMnlongdashv]{\nlongdashv} & \K[\FDSYMnVbar]{\nVbar} \\ \K[\FDSYMnBarv]{\nBarv} & \K[\FDSYMnmodels]{\nmodels} & \K[\FDSYMnVdash]{\nVdash} \\ \K[\FDSYMnbarV]{\nbarV} & \K[\FDSYMnni]{\nni} & \K[\FDSYMnvDash]{\nvDash} \\ \K[\FDSYMnclosure]{\nclosure} & \K[\FDSYMnotin]{\notin} & \K[\FDSYMnVDash]{\nVDash} \\ \K[\FDSYMnDashV]{\nDashV} & \K[\FDSYMnperp]{\nperp} & \K[\FDSYMnvdash]{\nvdash} \\ \K[\FDSYMnDashv]{\nDashv} & \K[\FDSYMnshortdowntack]{\nshortdowntack} & \K[\FDSYMnvlongdash]{\nvlongdash} \\ \K[\FDSYMndashv]{\ndashv} & \K[\FDSYMnshortlefttack]{\nshortlefttack} & \\ \end{longtable} \end{longsymtable} \begin{longsymtable}[BSK]{\BSK\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \label{bsk-rel} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\BSKac]\ac & \K[\BSKfatslash]\fatslash & \K[\BSKscurel]\scurel \\ \K[\BSKapproxeq]\approxeq & \K[\BSKforkv]\forkv & \K[\BSKshortmid]\shortmid \\ \K[\BSKarceq]\arceq & \K[\BSKfrown]\frown & \K[\BSKshortparallel]\shortparallel \\ \K[\BSKbacksim]\backsim & \K[\BSKggcurly]\ggcurly & \K[\BSKsimrdots]\simrdots \\ \K[\BSKbacksimeq]\backsimeq & \K[\BSKhash]\hash & \K[\BSKsmallfrown]\smallfrown \\ \K[\BSKbagmember]\bagmember & \K[\BSKinplus]\inplus & \K[\BSKsmallsmile]\smallsmile \\ \K[\BSKbecause]\because & \K[\BSKkernelcontraction]\kernelcontraction & \K[\BSKsmile]\smile \\ \K[\BSKbetween]\between & \K[\BSKllcurly]\llcurly & \K[\BSKstrictfi]\strictfi \\ \K[\BSKbumpeq]\bumpeq & \K[\BSKmultimap]\multimap & \K[\BSKstrictif]\strictif \\ \K[\BSKBumpeq]\Bumpeq & \K[\BSKmultimapboth]\multimapboth & \K[\BSKsuccapprox]\succapprox \\ \K[\BSKcirceq]\circeq & \K[\BSKmultimapbothvert]\multimapbothvert & \K[\BSKsucccurlyeq]\succcurlyeq \\ \K[\BSKCircledEq]\CircledEq & \K[\BSKmultimapdot]\multimapdot & \K[\BSKsuccnapprox]\succnapprox \\ \K[\BSKcong]\cong & \K[\BSKmultimapdotboth]\multimapdotboth & \K[\BSKsuccneqq]\succneqq \\ \K[\BSKcorresponds]\corresponds & \K[\BSKmultimapdotbothA]\multimapdotbothA & \K[\BSKsuccnsim]\succnsim \\ \K[\BSKcurlyeqprec]\curlyeqprec & \K[\BSKmultimapdotbothAvert]\multimapdotbothAvert & \K[\BSKsuccsim]\succsim \\ \K[\BSKcurlyeqsucc]\curlyeqsucc & \K[\BSKmultimapdotbothB]\multimapdotbothB & \K[\BSKtherefore]\therefore \\ \K[\BSKdashV]\dashV & \K[\BSKmultimapdotbothBvert]\multimapdotbothBvert & \K[\BSKthickapprox]\thickapprox \\ \K[\BSKDashV]\DashV & \K[\BSKmultimapdotbothvert]\multimapdotbothvert & \K[\BSKthicksim]\thicksim \\ \K[\BSKdashVv]\dashVv & \K[\BSKmultimapdotinv]\multimapdotinv & \K[\BSKtopfork]\topfork \\ \K[\BSKdfourier]\dfourier & \K[\BSKmultimapinv]\multimapinv & \K[\BSKtriangleq]\triangleq \\ \K[\BSKDfourier]\Dfourier & \K[\BSKniplus]\niplus & \K[\BSKvarhash]\varhash \\ \K[\BSKdisin]\disin & \K[\BSKnisd]\nisd & \K[\BSKvarisins]\varisins \\ \K[\BSKdoteq]\doteq & \K[\BSKPerp]\Perp & \K[\BSKvarnis]\varnis \\ \K[\BSKdoteqdot]\doteqdot & \K[\BSKpitchfork]\pitchfork & \K[\BSKvarpropto]\varpropto \\ \K[\BSKdotminus]\dotminus & \K[\BSKprecapprox]\precapprox & \K[\BSKVdash]\Vdash \\ \K[\BSKdotsim]\dotsim & \K[\BSKpreccurlyeq]\preccurlyeq & \K[\BSKvDash]\vDash \\ \K[\BSKeqbumped]\eqbumped & \K[\BSKprecnapprox]\precnapprox & \K[\BSKVDash]\VDash \\ \K[\BSKeqcirc]\eqcirc & \K[\BSKprecneqq]\precneqq & \K[\BSKveeeq]\veeeq \\ \K[\BSKeqsim]\eqsim & \K[\BSKprecnsim]\precnsim & \K[\BSKVvdash]\Vvdash \\ \K[\BSKequalparallel]\equalparallel & \K[\BSKprecsim]\precsim & \K[\BSKztransf]\ztransf \\ \K[\BSKfallingdotseq]\fallingdotseq & \K[\BSKprurel]\prurel & \K[\BSKZtransf]\Ztransf \\ \K[\BSKfatbslash]\fatbslash & \K[\BSKrisingdotseq]\risingdotseq & \\ \end{longtable} \end{longsymtable} \begin{symtable}[BSK]{\BSK\ Negated Binary Relations} \index{binary relations>negated} \index{relational symbols>negated binary} \label{bsk-nrel} \begin{tabular}{*3{ll}} \K[\BSKncong]\ncong & \K[\BSKnpreceq]\npreceq & \K[\BSKnVDash]\nVDash \\ \K[\BSKneq]\neq & \K[\BSKnshortmid]\nshortmid & \K[\BSKnVdash]\nVdash \\ \K[\BSKnequiv]\nequiv & \K[\BSKnshortparallel]\nshortparallel & \K[\BSKnvdash]\nvdash \\ \K[\BSKnmid]\nmid & \K[\BSKnsim]\nsim & \K[\BSKnvDash]\nvDash \\ \K[\BSKnparallel]\nparallel & \K[\BSKnsucc]\nsucc & \\ \K[\BSKnprec]\nprec & \K[\BSKnsucceq]\nsucceq & \\ \end{tabular} \end{symtable} \begin{longsymtable}[STIX]{\STIX\ Binary Relations} \ltindex{binary relations} \ltindex{relational symbols>binary} \ltindex{APL>symbols} \ltindex{symbols>APL} \label{stix-rel} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXapprox]\approx & \K[\STIXeqvparsl]\eqvparsl & \K[\STIXrightfishtail]\rightfishtail \\ \K[\STIXapproxeq]\approxeq & \K[\STIXfallingdotseq]\fallingdotseq & \K[\STIXrightimply]\rightimply \\ \K[\STIXapproxeqq]\approxeqq & \K[\STIXfbowtie]\fbowtie & \K[\STIXrighttail]\righttail \\ \K[\STIXapproxident]\approxident & \K[\STIXforksnot]\forksnot & \K[\STIXrisingdotseq]\risingdotseq \\ \K[\STIXarceq]\arceq & \K[\STIXforkv]\forkv & \K[\STIXrsqhook]\rsqhook \\ \K[\STIXassert]\assert & \K[\STIXfrown]\frown & \K[\STIXruledelayed]\ruledelayed \\ \K[\STIXasteq]\asteq & \K[\STIXgleichstark]\gleichstark & \K[\STIXscurel]\scurel \\ \K[\STIXasymp]\asymp & \K[\STIXhatapprox]\hatapprox & \K[\STIXshortdowntack]\shortdowntack \\ \K[\STIXbackcong]\backcong & \K[\STIXimageof]\imageof & \K[\STIXshortlefttack]\shortlefttack \\ \K[\STIXbacksim]\backsim & \K[\STIXin]\in & \K[\STIXshortmid]\shortmid \\ \K[\STIXbacksimeq]\backsimeq & \K[\STIXisindot]\isindot & \K[\STIXshortparallel]\shortparallel \\ \K[\STIXbagmember]\bagmember & \K[\STIXisinE]\isinE & \K[\STIXshortuptack]\shortuptack \\ \K[\STIXBarv]\Barv & \K[\STIXisinobar]\isinobar & \K[\STIXsim]\sim \\ \K[\STIXbarV]\barV & \K[\STIXisins]\isins & \K[\STIXsimeq]\simeq \\ \K[\STIXbetween]\between & \K[\STIXisinvb]\isinvb & \K[\STIXsimminussim]\simminussim \\ \K[\STIXbNot]\bNot & \K[\STIXkernelcontraction]\kernelcontraction & \K[\STIXsimneqq]\simneqq \\ \K[\STIXbowtie]\bowtie & \K[\STIXleftdbltail]\leftdbltail & \K[\STIXsimrdots]\simrdots \\ \K[\STIXBumpeq]\Bumpeq & \K[\STIXleftfishtail]\leftfishtail & \K[\STIXsmallfrown]\smallfrown \\ \K[\STIXbumpeq]\bumpeq & \K[\STIXlefttail]\lefttail & \K[\STIXsmallin]\smallin \\ \K[\STIXbumpeqq]\bumpeqq & \K[\STIXlfbowtie]\lfbowtie & \K[\STIXsmallni]\smallni \\ \K[\STIXcirbot]\cirbot & \K[\STIXlftimes]\lftimes & \K[\STIXsmallsmile]\smallsmile \\ \K[\STIXcirceq]\circeq & \K[\STIXlongdashv]\longdashv & \K[\STIXsmeparsl]\smeparsl \\ \K[\STIXcirmid]\cirmid & \K[\STIXlsqhook]\lsqhook & \K[\STIXsmile]\smile \\ \K[\STIXclosure]\closure & \K[\STIXmeaseq]\measeq & \K[\STIXstareq]\stareq \\ \K[\STIXColoneq]\Coloneq & \K[\STIXmid]\mid & \K[\STIXsucc]\succ \\ \K[\STIXcoloneq]\coloneq & \K[\STIXmidcir]\midcir & \K[\STIXSucc]\Succ \\ \K[\STIXcong]\cong & \K[\STIXmlcp]\mlcp & \K[\STIXsuccapprox]\succapprox \\ \K[\STIXcongdot]\congdot & \K[\STIXmodels]\models & \K[\STIXsucccurlyeq]\succcurlyeq \\ \K[\STIXcurlyeqprec]\curlyeqprec & \K[\STIXmultimap]\multimap & \K[\STIXsucceq]\succeq \\ \K[\STIXcurlyeqsucc]\curlyeqsucc & \K[\STIXmultimapinv]\multimapinv & \K[\STIXsucceqq]\succeqq \\ \K[\STIXdashcolon]\dashcolon & \K[\STIXni]\ni & \K[\STIXsuccnapprox]\succnapprox \\ \K[\STIXdashv]\dashv & \K[\STIXniobar]\niobar & \K[\STIXsuccneq]\succneq \\ \K[\STIXdashV]\dashV & \K[\STIXnis]\nis & \K[\STIXsuccneqq]\succneqq \\ \K[\STIXDashv]\Dashv & \K[\STIXnisd]\nisd & \K[\STIXsuccnsim]\succnsim \\ \K[\STIXDashV]\DashV & \K[\STIXNot]\Not & \K[\STIXsuccsim]\succsim \\ \K[\STIXDashVDash]\DashVDash & \K[\STIXnotchar]\notchar & \K[\STIXthickapprox]\thickapprox \\ \K[\STIXdashVdash]\dashVdash & \K[\STIXorigof]\origof & \K[\STIXthicksim]\thicksim \\ \K[\STIXddotseq]\ddotseq & \K[\STIXparallel]\parallel & \K[\STIXtopfork]\topfork \\ \K[\STIXdisin]\disin & \K[\STIXparsim]\parsim & \K[\STIXupfishtail]\upfishtail \\ \K[\STIXDoteq]\Doteq & \K[\STIXperp]\perp & \K[\STIXupin]\upin \\ \K[\STIXdoteq]\doteq & \K[\STIXpitchfork]\pitchfork & \K[\STIXvarisinobar]\varisinobar \\ \K[\STIXdotequiv]\dotequiv & \K[\STIXprec]\prec & \K[\STIXvarisins]\varisins \\ \K[\STIXdotsim]\dotsim & \K[\STIXPrec]\Prec & \K[\STIXvarniobar]\varniobar \\ \K[\STIXdotsminusdots]\dotsminusdots & \K[\STIXprecapprox]\precapprox & \K[\STIXvarnis]\varnis \\ \K[\STIXdownfishtail]\downfishtail & \K[\STIXpreccurlyeq]\preccurlyeq & \K[\STIXvarpropto]\varpropto \\ \K[\STIXdualmap]\dualmap & \K[\STIXpreceq]\preceq & \K[\STIXvarVdash]\varVdash \\ \K[\STIXeparsl]\eparsl & \K[\STIXpreceqq]\preceqq & \K[\STIXvBar]\vBar \\ \K[\STIXeqcirc]\eqcirc & \K[\STIXprecnapprox]\precnapprox & \K[\STIXVbar]\Vbar \\ \K[\STIXeqcolon]\eqcolon & \K[\STIXprecneq]\precneq & \K[\STIXvBarv]\vBarv \\ \K[\STIXeqdef]\eqdef & \K[\STIXprecneqq]\precneqq & \K[\STIXVdash]\Vdash \\ \K[\STIXeqdot]\eqdot & \K[\STIXprecnsim]\precnsim & \K[\STIXvdash]\vdash \\ \K[\STIXeqeq]\eqeq & \K[\STIXprecsim]\precsim & \K[\STIXvDash]\vDash \\ \K[\STIXeqeqeq]\eqeqeq & \K[\STIXpropto]\propto & \K[\STIXVDash]\VDash \\ \K[\STIXeqqsim]\eqqsim & \K[\STIXprurel]\prurel & \K[\STIXvDdash]\vDdash \\ \K[\STIXeqsim]\eqsim & \K[\STIXpullback]\pullback & \K[\STIXvdots]\vdots \\ \K[\STIXequalparallel]\equalparallel & \K[\STIXpushout]\pushout & \K[\STIXveeeq]\veeeq \\ \K[\STIXequiv]\equiv & \K[\STIXquesteq]\questeq & \K[\STIXveeonwedge]\veeonwedge \\ \K[\STIXEquiv]\Equiv & \K[\STIXrevnmid]\revnmid & \K[\STIXvertoverlay]\vertoverlay \\ \K[\STIXequivDD]\equivDD & \K[\STIXrfbowtie]\rfbowtie & \K[\STIXvlongdash]\vlongdash \\ \K[\STIXequivVert]\equivVert & \K[\STIXrftimes]\rftimes & \K[\STIXVvdash]\Vvdash \\ \K[\STIXequivVvert]\equivVvert & \K[\STIXrightdbltail]\rightdbltail & \K[\STIXwedgeq]\wedgeq \\ \end{longtable} \begin{tablenote} \STIX\ defines \cmdI[\string\STIXowns]{\owns} as a synonym for \cmdI[\string\STIXni]{\ni} and \cmdI[\string\STIXdoteqdot]{\doteqdot} as a synonym for \cmdI[\string\STIXDoteq]{\Doteq}. \end{tablenote} \end{longsymtable} \begin{symtable}[STIX]{\STIX\ Negated Binary Relations} \index{binary relations>negated} \index{relational symbols>negated binary} \label{stix-nrel} \begin{tabular}{*3{ll}} \K[\STIXforks]\forks & \K[\STIXnhpar]\nhpar & \K[\STIXnsime]\nsime \\ \K[\STIXnapprox]\napprox & \K[\STIXnmid]\nmid & \K[\STIXnsucc]\nsucc \\ \K[\STIXnapproxeqq]\napproxeqq & \K[\STIXnni]\nni & \K[\STIXnsucccurlyeq]\nsucccurlyeq \\ \K[\STIXnasymp]\nasymp & \K[\STIXnotin]\notin & \K[\STIXnsucceq]\nsucceq \\ \K[\STIXnBumpeq]\nBumpeq & \K[\STIXnparallel]\nparallel & \K[\STIXnvarisinobar]\nvarisinobar \\ \K[\STIXnbumpeq]\nbumpeq & \K[\STIXnprec]\nprec & \K[\STIXnvarniobar]\nvarniobar \\ \K[\STIXncong]\ncong & \K[\STIXnpreccurlyeq]\npreccurlyeq & \K[\STIXnvDash]\nvDash \\ \K[\STIXncongdot]\ncongdot & \K[\STIXnpreceq]\npreceq & \K[\STIXnvdash]\nvdash \\ \K[\STIXne]\ne & \K[\STIXnshortmid]\nshortmid & \K[\STIXnVDash]\nVDash \\ \K[\STIXneqsim]\neqsim & \K[\STIXnshortparallel]\nshortparallel & \K[\STIXnVdash]\nVdash \\ \K[\STIXnequiv]\nequiv & \K[\STIXnsim]\nsim & \\ \end{tabular} \bigskip \begin{tablenote} \STIX\ defines \cmdI[\string\STIXneq]{\neq} as a synonym for \cmdI[\string\STIXne]{\ne}, \cmdI[\string\STIXnsimeq]{\nsimeq} as a synonym for \cmdI[\string\STIXnsime]{\nsime}, and \cmdI[\string\STIXnforksnot]{\nforksnot} as a synonym for \cmdI[\string\STIXforks]{\forks}. \end{tablenote} \end{symtable} \begin{symtable}[MTOOLS]{\MTOOLS\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \label{mtools-rel} \begin{tabular}{ll@{\qquad}ll@{\qquad}ll} \X[\MTOOLSColonapprox]\Colonapprox & \X[\MTOOLScoloneq]\coloneq & \X[\MTOOLSEqcolon]\Eqcolon \\ \X[\MTOOLScolonapprox]\colonapprox & \X[\MTOOLScolonsim]\colonsim & \X[\MTOOLSeqqcolon]\eqqcolon \\ \X[\MTOOLScoloneqq]\coloneqq & \X[\MTOOLSColonsim]\Colonsim & \X[\MTOOLSEqqcolon]\Eqqcolon \\ \X[\MTOOLSColoneqq]\Coloneqq & \X[\MTOOLSdblcolon]\dblcolon & \\ \X[\MTOOLSColoneq]\Coloneq & \X[\MTOOLSeqcolon]\eqcolon & \\ \end{tabular} \bigskip \begin{tablenote} Similar symbols can be defined using \MTOOLS's \cmdX{\vcentcolon}, which produces a colon centered on the font's math axis: \begin{center} \begin{tabular}{ccc} \Huge $=:=$ & vs. & \Huge $=\vcentcolon=$ \\ ``\verb|=:=|'' & & ``\verb|=\vcentcolon=|'' \\ \end{tabular} \end{center} \end{tablenote} \end{symtable} \begin{longsymtable}[TURN]{\TURN\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \index{consequence relations} \label{turn-rel} \renewcommand{\arraystretch}{2} % Keep tall symbols from touching. \begin{longtable}{ll@{\hspace*{2em}}ll@{\hspace*{2em}}ll} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Wul\dddtstile{abc}{def} & \Wul\nntstile{abc}{def} & \Wul\stdtstile{abc}{def} \\ \Wul\ddststile{abc}{def} & \Wul\nnttstile{abc}{def} & \Wul\stststile{abc}{def} \\ \Wul\ddtstile{abc}{def} & \Wul\nsdtstile{abc}{def} & \Wul\sttstile{abc}{def} \\ \Wul\ddttstile{abc}{def} & \Wul\nsststile{abc}{def} & \Wul\stttstile{abc}{def} \\ \Wul\dndtstile{abc}{def} & \Wul\nststile{abc}{def} & \Wul\tddtstile{abc}{def} \\ \Wul\dnststile{abc}{def} & \Wul\nsttstile{abc}{def} & \Wul\tdststile{abc}{def} \\ \Wul\dntstile{abc}{def} & \Wul\ntdtstile{abc}{def} & \Wul\tdtstile{abc}{def} \\ \Wul\dnttstile{abc}{def} & \Wul\ntststile{abc}{def} & \Wul\tdttstile{abc}{def} \\ \Wul\dsdtstile{abc}{def} & \Wul\nttstile{abc}{def} & \Wul\tndtstile{abc}{def} \\ \Wul\dsststile{abc}{def} & \Wul\ntttstile{abc}{def} & \Wul\tnststile{abc}{def} \\ \Wul\dststile{abc}{def} & \Wul\sddtstile{abc}{def} & \Wul\tntstile{abc}{def} \\ \Wul\dsttstile{abc}{def} & \Wul\sdststile{abc}{def} & \Wul\tnttstile{abc}{def} \\ \Wul\dtdtstile{abc}{def} & \Wul\sdtstile{abc}{def} & \Wul\tsdtstile{abc}{def} \\ \Wul\dtststile{abc}{def} & \Wul\sdttstile{abc}{def} & \Wul\tsststile{abc}{def} \\ \Wul\dttstile{abc}{def} & \Wul\sndtstile{abc}{def} & \Wul\tststile{abc}{def} \\ \Wul\dtttstile{abc}{def} & \Wul\snststile{abc}{def} & \Wul\tsttstile{abc}{def} \\ \Wul\nddtstile{abc}{def} & \Wul\sntstile{abc}{def} & \Wul\ttdtstile{abc}{def} \\ \Wul\ndststile{abc}{def} & \Wul\snttstile{abc}{def} & \Wul\ttststile{abc}{def} \\ \Wul\ndtstile{abc}{def} & \Wul\ssdtstile{abc}{def} & \Wul\tttstile{abc}{def} \\ \Wul\ndttstile{abc}{def} & \Wul\ssststile{abc}{def} & \Wul\ttttstile{abc}{def} \\ \Wul\nndtstile{abc}{def} & \Wul\sststile{abc}{def} & \\ \Wul\nnststile{abc}{def} & \Wul\ssttstile{abc}{def} & \\ \end{longtable} \bigskip \begin{tablenote} Each of the above takes an optional argument that controls the size of the upper and lower expressions. See the \TURN\ documentation for more information. \end{tablenote} \end{longsymtable} \begin{symtable}[TRSYM]{\TRSYM\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \index{transforms} \label{trsym-rel} \begin{tabular}{ll@{\hspace*{2em}}ll} \K\InversTransformHoriz & \K\TransformHoriz \\ \K\InversTransformVert & \K\TransformVert \\ \end{tabular} \end{symtable} \begin{symtable}[TRF]{\TRF\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \index{transforms} \label{trf-rel} \begin{tabular}{ll@{\hspace*{2em}}ll} \X\dfourier & \X\Dfourier \\ \X\fourier & \X\Fourier \\ \X\laplace & \X\Laplace \\ \X\ztransf & \X\Ztransf \\ \end{tabular} \end{symtable} \begin{symtable}[CMLL]{\CMLL\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \idxboth{linear logic}{symbols} \label{cmll-rel} \begin{tabular}{ll@{\hspace*{2em}}ll} \K[\CMLLcoh]\coh & \K[\CMLLscoh]\scoh \\ \K[\CMLLincoh]\incoh & \K[\CMLLsincoh]\sincoh \\ \K[\CMLLPerp]\Perp & \K[\CMLLsimperp]\simperp \\ \K[\CMLLmultimapboth]\multimapboth \\ \end{tabular} \end{symtable} \begin{symtable}[CEQ]{\CEQ\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \label{ceq-rel} \begin{tabular}{*3{ll}} \X\approxcolon & \X\coloncolonminus & \X\equalscoloncolon \\ \X\approxcoloncolon & \X\coloncolonsim & \X\minuscolon \\ \X[\CEQcolonapprox]\colonapprox & \X\colonequals & \X\minuscoloncolon \\ \X\coloncolon & \X\colonminus & \X\ratio \\ \X\coloncolonapprox & \X[\CEQcolonsim]\colonsim & \X\simcolon \\ \X\coloncolonequals & \X\equalscolon & \X\simcoloncolon \\ \end{tabular} \end{symtable} \begin{symtable}[FOUR]{\FOUR\ Binary Relations} \index{binary relations} \index{relational symbols>binary} \label{fourier-rel} \begin{tabular}{ll@{\quad}ll} \K\nparallelslant & \K\parallelslant \\ \end{tabular} \end{symtable} \begin{symtable}{Subset and Superset Relations} \index{binary relations} \index{relational symbols>binary} \index{subsets} \index{supersets} \index{symbols>subset and superset} \label{subsets} \begin{tabular}{*3{ll}} \X\sqsubset$^*$ & \X\sqsupseteq & \X\supset \\ \X\sqsubseteq & \X\subset & \X\supseteq \\ \X\sqsupset$^*$ & \X\subseteq \\ \end{tabular} \bigskip \notpredefinedmessage \end{symtable} \begin{symtable}[AMS]{\AMS\ Subset and Superset Relations} \index{binary relations} \index{relational symbols>binary} \index{subsets} \index{supersets} \index{symbols>subset and superset} \label{ams-subsets} \begin{tabular}{*3{ll}} \X\nsubseteq & \X\subseteqq & \X\supsetneqq \\ \X\nsupseteq & \X\subsetneq & \X\varsubsetneq \\ \X\nsupseteqq & \X\subsetneqq & \X\varsubsetneqq \\ \X\sqsubset & \X\Supset & \X\varsupsetneq \\ \X\sqsupset & \X\supseteqq & \X\varsupsetneqq \\ \X\Subset & \X\supsetneq \\ \end{tabular} \end{symtable} \begin{symtable}[ST]{\ST\ Subset and Superset Relations} \index{binary relations} \index{relational symbols>binary} \index{subsets} \index{supersets} \index{symbols>subset and superset} \label{st-subsets} \begin{tabular}{*2{ll}} \X\subsetplus & \X\supsetplus \\ \X\subsetpluseq & \X\supsetpluseq \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ Subset and Superset Relations} \index{binary relations} \index{relational symbols>binary} \index{subsets} \index{supersets} \index{symbols>subset and superset} \label{wasy-subset} \begin{tabular}{*2{ll}} \X\sqsubset & \X\sqsupset \\ \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Subset and Superset Relations} \index{binary relations} \index{relational symbols>binary} \index{subsets} \index{supersets} \index{symbols>subset and superset} \label{txpx-subset} \begin{tabular}{*3{ll}} \X\nsqsubset & \X\nsqsupseteq & \X\nSupset \\ \X\nsqsubseteq & \X\nSubset \\ \X\nsqsupset & \X\nsubseteqq \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Subset and Superset Relations} \index{binary relations} \index{relational symbols>binary} \index{subsets} \index{supersets} \index{symbols>subset and superset} \label{abx-subsets} \begin{tabular}{*4{ll}} \X[\ABXnsqsubset]\nsqsubset & \X[\ABXnsupset]\nsupset & \X[\ABXsqsupseteq]\sqsupseteq & \X[\ABXsupseteq]\supseteq \\ \X[\ABXnsqSubset]\nsqSubset & \X[\ABXnSupset]\nSupset & \X[\ABXsqsupseteqq]\sqsupseteqq & \X[\ABXsupseteqq]\supseteqq \\ \X[\ABXnsqsubseteq]\nsqsubseteq & \X[\ABXnsupseteq]\nsupseteq & \X[\ABXsqsupsetneq]\sqsupsetneq & \X[\ABXsupsetneq]\supsetneq \\ \X[\ABXnsqsubseteqq]\nsqsubseteqq & \X[\ABXnsupseteqq]\nsupseteqq & \X[\ABXsqsupsetneqq]\sqsupsetneqq & \X[\ABXsupsetneqq]\supsetneqq \\ \X[\ABXnsqsupset]\nsqsupset & \X[\ABXsqsubset]\sqsubset & \X[\ABXsubset]\subset & \X[\ABXvarsqsubsetneq]\varsqsubsetneq \\ \X[\ABXnsqSupset]\nsqSupset & \X[\ABXsqSubset]\sqSubset & \X[\ABXSubset]\Subset & \X[\ABXvarsqsubsetneqq]\varsqsubsetneqq \\ \X[\ABXnsqsupseteq]\nsqsupseteq & \X[\ABXsqsubseteq]\sqsubseteq & \X[\ABXsubseteq]\subseteq & \X[\ABXvarsqsupsetneq]\varsqsupsetneq \\ \X[\ABXnsqsupseteqq]\nsqsupseteqq & \X[\ABXsqsubseteqq]\sqsubseteqq & \X[\ABXsubseteqq]\subseteqq & \X[\ABXvarsqsupsetneqq]\varsqsupsetneqq \\ \X[\ABXnsubset]\nsubset & \X[\ABXsqsubsetneq]\sqsubsetneq & \X[\ABXsubsetneq]\subsetneq & \X[\ABXvarsubsetneq]\varsubsetneq \\ \X[\ABXnSubset]\nSubset & \X[\ABXsqsubsetneqq]\sqsubsetneqq & \X[\ABXsubsetneqq]\subsetneqq & \X[\ABXvarsubsetneqq]\varsubsetneqq \\ \X[\ABXnsubseteq]\nsubseteq & \X[\ABXsqSupset]\sqSupset & \X[\ABXsupset]\supset & \X[\ABXvarsupsetneq]\varsupsetneq \\ \X[\ABXnsubseteqq]\nsubseteqq & \X[\ABXsqsupset]\sqsupset & \X[\ABXSupset]\Supset & \X[\ABXvarsupsetneqq]\varsupsetneqq \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Subset and Superset Relations} \index{binary relations} \index{relational symbols>binary} \index{subsets} \index{supersets} \index{symbols>subset and superset} \label{mns-subsets} \begin{tabular}{*4{ll}} \K[\MNSnSqsubset]\nSqsubset & \K[\MNSnsubseteq]\nsubseteq & \K[\MNSsqsubsetneq]\sqsubsetneq & \K[\MNSsubseteq]\subseteq \\ \K[\MNSnsqsubset]\nsqsubset & \K[\MNSnsubseteqq]\nsubseteqq & \K[\MNSsqsubsetneqq]\sqsubsetneqq & \K[\MNSsubseteqq]\subseteqq \\ \K[\MNSnsqsubseteq]\nsqsubseteq & \K[\MNSnSupset]\nSupset & \K[\MNSSqsupset]\Sqsupset & \K[\MNSsubsetneq]\subsetneq \\ \K[\MNSnsqsubseteqq]\nsqsubseteqq & \K[\MNSnsupset]\nsupset & \K[\MNSsqsupset]\sqsupset & \K[\MNSsubsetneqq]\subsetneqq \\ \K[\MNSnSqsupset]\nSqsupset & \K[\MNSnsupseteq]\nsupseteq & \K[\MNSsqsupseteq]\sqsupseteq & \K[\MNSSupset]\Supset \\ \K[\MNSnsqsupset]\nsqsupset & \K[\MNSnsupseteqq]\nsupseteqq & \K[\MNSsqsupseteqq]\sqsupseteqq & \K[\MNSsupset]\supset \\ \K[\MNSnsqsupseteq]\nsqsupseteq & \K[\MNSSqsubset]\Sqsubset & \K[\MNSsqsupsetneq]\sqsupsetneq & \K[\MNSsupseteq]\supseteq \\ \K[\MNSnsqsupseteqq]\nsqsupseteqq & \K[\MNSsqsubset]\sqsubset & \K[\MNSsqsupsetneqq]\sqsupsetneqq & \K[\MNSsupseteqq]\supseteqq \\ \K[\MNSnSubset]\nSubset & \K[\MNSsqsubseteq]\sqsubseteq & \K[\MNSSubset]\Subset & \K[\MNSsupsetneq]\supsetneq \\ \K[\MNSnsubset]\nsubset & \K[\MNSsqsubseteqq]\sqsubseteqq & \K[\MNSsubset]\subset & \K[\MNSsupsetneqq]\supsetneqq \\ \end{tabular} \bigskip \begin{tablenote} \MNS\ additionally defines \cmdI[\MNSsubsetneq]{\varsubsetneq} as a synonym for \cmdI[\MNSsubsetneq]{\subsetneq}, \cmdI[\MNSsubsetneqq]{\varsubsetneqq} as a synonym for \cmdI[\MNSsubsetneqq]{\subsetneqq}, \cmdI[\MNSsupsetneq]{\varsupsetneq} as a synonym for \cmdI[\MNSsupsetneq]{\supsetneq}, and \cmdI[\MNSsupsetneqq]{\varsupsetneqq} as a synonym for \cmdI[\MNSsupsetneqq]{\supsetneqq}. \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Subset and Superset Relations} \index{binary relations} \index{relational symbols>binary} \index{subsets} \index{supersets} \index{symbols>subset and superset} \label{fdsym-subsets} \begin{tabular}{*4{ll}} \K[\FDSYMnsqsubset]\nsqsubset & \K[\FDSYMnsubseteq]\nsubseteq & \K[\FDSYMsqsubsetneq]\sqsubsetneq & \K[\FDSYMsubseteq]\subseteq \\ \K[\FDSYMnSqsubset]\nSqsubset & \K[\FDSYMnsubseteqq]\nsubseteqq & \K[\FDSYMsqsubsetneqq]\sqsubsetneqq & \K[\FDSYMsubseteqq]\subseteqq \\ \K[\FDSYMnsqsubseteq]\nsqsubseteq & \K[\FDSYMnsupset]\nsupset & \K[\FDSYMsqsupset]\sqsupset & \K[\FDSYMsubsetneq]\subsetneq \\ \K[\FDSYMnsqsubseteqq]\nsqsubseteqq & \K[\FDSYMnSupset]\nSupset & \K[\FDSYMSqsupset]\Sqsupset & \K[\FDSYMsubsetneqq]\subsetneqq \\ \K[\FDSYMnsqsupset]\nsqsupset & \K[\FDSYMnsupseteq]\nsupseteq & \K[\FDSYMsqsupseteq]\sqsupseteq & \K[\FDSYMsupset]\supset \\ \K[\FDSYMnSqsupset]\nSqsupset & \K[\FDSYMnsupseteqq]\nsupseteqq & \K[\FDSYMsqsupseteqq]\sqsupseteqq & \K[\FDSYMSupset]\Supset \\ \K[\FDSYMnsqsupseteq]\nsqsupseteq & \K[\FDSYMsqsubset]\sqsubset & \K[\FDSYMsqsupsetneq]\sqsupsetneq & \K[\FDSYMsupseteq]\supseteq \\ \K[\FDSYMnsqsupseteqq]\nsqsupseteqq & \K[\FDSYMSqsubset]\Sqsubset & \K[\FDSYMsqsupsetneqq]\sqsupsetneqq & \K[\FDSYMsupseteqq]\supseteqq \\ \K[\FDSYMnsubset]\nsubset & \K[\FDSYMsqsubseteq]\sqsubseteq & \K[\FDSYMsubset]\subset & \K[\FDSYMsupsetneq]\supsetneq \\ \K[\FDSYMnSubset]\nSubset & \K[\FDSYMsqsubseteqq]\sqsubseteqq & \K[\FDSYMSubset]\Subset & \K[\FDSYMsupsetneqq]\supsetneqq \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ additionally defines \cmdI[\string\FDSYMvarsubsetneqq]{\varsubsetneqq} as a synonym for \cmdI[\string\FDSYMsubsetneqq]{\subsetneqq}, \cmdI[\string\FDSYMvarsubsetneq]{\varsubsetneq} as a synonym for \cmdI[\string\FDSYMsubsetneq]{\subsetneq}, \cmdI[\string\FDSYMvarsupsetneqq]{\varsupsetneqq} as a synonym for \cmdI[\string\FDSYMsupsetneqq]{\supsetneqq}, and \cmdI[\string\FDSYMvarsupsetneq]{\varsupsetneq} as a synonym for \cmdI[\string\FDSYMsupsetneq]{\supsetneq}. \end{tablenote} \end{symtable} \begin{symtable}[BSK]{\BSK\ Subset and Superset Relations} \index{binary relations} \index{relational symbols>binary} \index{subsets} \index{supersets} \index{symbols>subset and superset} \label{bsk-subsets} \begin{tabular}{*4{ll}} \K[\BSKnsubset]\nsubset & \K[\BSKsqSubset]\sqSubset & \K[\BSKsubsetplus]\subsetplus & \K[\BSKsupsetpluseq]\supsetpluseq \\ \K[\BSKnsubseteq]\nsubseteq & \K[\BSKsqSupset]\sqSupset & \K[\BSKsubsetpluseq]\subsetpluseq & \K[\BSKvarsubsetneq]\varsubsetneq \\ \K[\BSKnsubseteqq]\nsubseteqq & \K[\BSKsqsupset]\sqsupset & \K[\BSKSupset]\Supset & \K[\BSKvarsubsetneqq]\varsubsetneqq \\ \K[\BSKnsupset]\nsupset & \K[\BSKSubset]\Subset & \K[\BSKsupseteqq]\supseteqq & \K[\BSKvarsupsetneq]\varsupsetneq \\ \K[\BSKnsupseteq]\nsupseteq & \K[\BSKsubseteqq]\subseteqq & \K[\BSKsupsetneq]\supsetneq & \K[\BSKvarsupsetneqq]\varsupsetneqq \\ \K[\BSKnsupseteqq]\nsupseteqq & \K[\BSKsubsetneq]\subsetneq & \K[\BSKsupsetneqq]\supsetneqq & \\ \K[\BSKsqsubset]\sqsubset & \K[\BSKsubsetneqq]\subsetneqq & \K[\BSKsupsetplus]\supsetplus & \\ \end{tabular} \end{symtable} \begin{longsymtable}[STIX]{\STIX\ Subset and Superset Relations} \ltindex{binary relations} \ltindex{relational symbols>binary} \ltindex{subsets} \ltindex{supersets} \ltindex{symbols>subset and superset} \label{stix-subsets} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXbsolhsub]\bsolhsub & \K[\STIXsqsupseteq]\sqsupseteq & \K[\STIXsuphsub]\suphsub \\ \K[\STIXcsub]\csub & \K[\STIXsqsupsetneq]\sqsupsetneq & \K[\STIXsuplarr]\suplarr \\ \K[\STIXcsube]\csube & \K[\STIXsubedot]\subedot & \K[\STIXsupmult]\supmult \\ \K[\STIXcsup]\csup & \K[\STIXsubmult]\submult & \K[\STIXSupset]\Supset \\ \K[\STIXcsupe]\csupe & \K[\STIXsubrarr]\subrarr & \K[\STIXsupset]\supset \\ \K[\STIXleftarrowsubset]\leftarrowsubset & \K[\STIXSubset]\Subset & \K[\STIXsupsetapprox]\supsetapprox \\ \K[\STIXnsqsubset]\nsqsubset & \K[\STIXsubset]\subset & \K[\STIXsupsetcirc]\supsetcirc$^*$ \\ \K[\STIXnsqsubseteq]\nsqsubseteq & \K[\STIXsubsetapprox]\subsetapprox & \K[\STIXsupsetdot]\supsetdot \\ \K[\STIXnsqsupset]\nsqsupset & \K[\STIXsubsetcirc]\subsetcirc$^*$ & \K[\STIXsupseteq]\supseteq \\ \K[\STIXnsqsupseteq]\nsqsupseteq & \K[\STIXsubsetdot]\subsetdot & \K[\STIXsupseteqq]\supseteqq \\ \K[\STIXnsubset]\nsubset & \K[\STIXsubseteq]\subseteq & \K[\STIXsupsetneq]\supsetneq \\ \K[\STIXnsubseteq]\nsubseteq & \K[\STIXsubseteqq]\subseteqq & \K[\STIXsupsetneqq]\supsetneqq \\ \K[\STIXnsubseteqq]\nsubseteqq & \K[\STIXsubsetneq]\subsetneq & \K[\STIXsupsetplus]\supsetplus \\ \K[\STIXnsupset]\nsupset & \K[\STIXsubsetneqq]\subsetneqq & \K[\STIXsupsim]\supsim \\ \K[\STIXnsupseteq]\nsupseteq & \K[\STIXsubsetplus]\subsetplus & \K[\STIXsupsub]\supsub \\ \K[\STIXnsupseteqq]\nsupseteqq & \K[\STIXsubsim]\subsim & \K[\STIXsupsup]\supsup \\ \K[\STIXrightarrowsupset]\rightarrowsupset & \K[\STIXsubsub]\subsub & \K[\STIXvarsubsetneq]\varsubsetneq \\ \K[\STIXsqsubset]\sqsubset & \K[\STIXsubsup]\subsup & \K[\STIXvarsubsetneqq]\varsubsetneqq \\ \K[\STIXsqsubseteq]\sqsubseteq & \K[\STIXsupdsub]\supdsub & \K[\STIXvarsupsetneq]\varsupsetneq \\ \K[\STIXsqsubsetneq]\sqsubsetneq & \K[\STIXsupedot]\supedot & \K[\STIXvarsupsetneqq]\varsupsetneqq \\ \K[\STIXsqsupset]\sqsupset & \K[\STIXsuphsol]\suphsol & \\ \end{longtable} \begin{tablenote}[*] Defined as an ordinary character, not as a binary relation. \end{tablenote} \end{longsymtable} \begin{symtable}{Inequalities} \index{binary relations}\index{relational symbols>binary} \index{inequalities} \label{inequal-rel} \begin{tabular}{*5{ll}} \X\geq & \X\gg & \X\leq & \X\ll & \X\neq \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Inequalities} \index{binary relations}\index{relational symbols>binary} \index{inequalities} \label{ams-inequal-rel} \renewcommand{\arraystretch}{1.5} % Keep visually similar symbols from touching. \begin{tabular}{*4{ll}} \X\eqslantgtr & \X\gtrdot & \X\lesseqgtr & \X\ngeq \\ \X\eqslantless & \X\gtreqless & \X\lesseqqgtr & \X\ngeqq \\ \X\geqq & \X\gtreqqless & \X\lessgtr & \X\ngeqslant \\ \X\geqslant & \X\gtrless & \X\lesssim & \X\ngtr \\ \X\ggg & \X\gtrsim & \X\lll & \X\nleq \\ \X\gnapprox & \X\gvertneqq & \X\lnapprox & \X\nleqq \\ \X\gneq & \X\leqq & \X\lneq & \X\nleqslant \\ \X\gneqq & \X\leqslant & \X\lneqq & \X\nless \\ \X\gnsim & \X\lessapprox & \X\lnsim & \\ \X\gtrapprox & \X\lessdot & \X\lvertneqq & \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ Inequalities} \index{binary relations}\index{relational symbols>binary} \index{inequalities} \label{wasy-inequal-rel} \begin{tabular}{*2{ll}} \X\apprge & \X\apprle \\ \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Inequalities} \index{binary relations}\index{relational symbols>binary} \index{inequalities} \label{txpx-inequal-rel} \begin{tabular}{*3{ll}} \X\ngg & \X\ngtrsim & \X\nlesssim \\ \X\ngtrapprox & \X\nlessapprox & \X\nll \\ \X\ngtrless & \X\nlessgtr \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Inequalities} \index{binary relations}\index{relational symbols>binary} \index{inequalities} \label{abx-inequal-rel} \renewcommand{\arraystretch}{1.5} % Keep visually similar symbols from touching. \begin{tabular}{*4{ll}} \X[\ABXeqslantgtr]\eqslantgtr & \X[\ABXgtreqless]\gtreqless & \X[\ABXlesssim]\lesssim & \X[\ABXngtr]\ngtr \\ \X[\ABXeqslantless]\eqslantless & \X[\ABXgtreqqless]\gtreqqless & \X[\ABXll]\ll & \X[\ABXngtrapprox]\ngtrapprox \\ \X[\ABXgeq]\geq & \X[\ABXgtrless]\gtrless & \X[\ABXlll]\lll & \X[\ABXngtrsim]\ngtrsim \\ \X[\ABXgeqq]\geqq & \X[\ABXgtrsim]\gtrsim & \X[\ABXlnapprox]\lnapprox & \X[\ABXnleq]\nleq \\ \X[\ABXgg]\gg & \X[\ABXgvertneqq]\gvertneqq & \X[\ABXlneq]\lneq & \X[\ABXnleqq]\nleqq \\ \X[\ABXggg]\ggg & \X[\ABXleq]\leq & \X[\ABXlneqq]\lneqq & \X[\ABXnless]\nless \\ \X[\ABXgnapprox]\gnapprox & \X[\ABXleqq]\leqq & \X[\ABXlnsim]\lnsim & \X[\ABXnlessapprox]\nlessapprox \\ \X[\ABXgneq]\gneq & \X[\ABXlessapprox]\lessapprox & \X[\ABXlvertneqq]\lvertneqq & \X[\ABXnlesssim]\nlesssim \\ \X[\ABXgneqq]\gneqq & \X[\ABXlessdot]\lessdot & \X[\ABXneqslantgtr]\neqslantgtr & \X[\ABXnvargeq]\nvargeq \\ \X[\ABXgnsim]\gnsim & \X[\ABXlesseqgtr]\lesseqgtr & \X[\ABXneqslantless]\neqslantless & \X[\ABXnvarleq]\nvarleq \\ \X[\ABXgtrapprox]\gtrapprox & \X[\ABXlesseqqgtr]\lesseqqgtr & \X[\ABXngeq]\ngeq & \X[\ABXvargeq]\vargeq \\ \X[\ABXgtrdot]\gtrdot & \X[\ABXlessgtr]\lessgtr & \X[\ABXngeqq]\ngeqq & \X[\ABXvarleq]\varleq \\ \end{tabular} \bigskip \begin{tablenote} \ABX\ defines \verb|\leqslant| and \verb|\le| as synonyms for \cmdX{\leq}, \verb|\geqslant| and \verb|\ge| as synonyms for \cmdX{\geq}, \verb|\nleqslant| as a synonym for \cmdX{\nleq}, and \verb|\ngeqslant| as a synonym for \cmdX{\ngeq}. \end{tablenote} \end{symtable} \begin{symtable}[MNS]{\MNS\ Inequalities} \index{binary relations}\index{relational symbols>binary} \index{inequalities} \label{mns-inequal-rel} \renewcommand{\arraystretch}{1.25} % Keep visually similar symbols from touching. \begin{tabular}{*4{ll}} \K[\MNSeqslantgtr]\eqslantgtr & \K[\MNSgtreqqless]\gtreqqless & \K[\MNSlesssim]\lesssim & \K[\MNSngtreqless]\ngtreqless \\ \K[\MNSeqslantless]\eqslantless & \K[\MNSgtrless]\gtrless & \K[\MNSll]\ll & \K[\MNSngtreqlessslant]\ngtreqlessslant \\ \K[\MNSgeq]\geq & \K[\MNSgtrneqqless]\gtrneqqless & \K[\MNSlll]\lll & \K[\MNSngtreqqless]\ngtreqqless \\ \K[\MNSgeqclosed]\geqclosed & \K[\MNSgtrsim]\gtrsim & \K[\MNSlnapprox]\lnapprox & \K[\MNSngtrless]\ngtrless \\ \K[\MNSgeqdot]\geqdot & \K[\MNSleq]\leq & \K[\MNSlneqq]\lneqq & \K[\MNSnleq]\nleq \\ \K[\MNSgeqq]\geqq & \K[\MNSleqclosed]\leqclosed & \K[\MNSlnsim]\lnsim & \K[\MNSnleqclosed]\nleqclosed \\ \K[\MNSgeqslant]\geqslant & \K[\MNSleqdot]\leqdot & \K[\MNSneqslantgtr]\neqslantgtr & \K[\MNSnleqdot]\nleqdot \\ \K[\MNSgeqslantdot]\geqslantdot & \K[\MNSleqq]\leqq & \K[\MNSneqslantless]\neqslantless & \K[\MNSnleqq]\nleqq \\ \K[\MNSgg]\gg & \K[\MNSleqslant]\leqslant & \K[\MNSngeq]\ngeq & \K[\MNSnleqslant]\nleqslant \\ \K[\MNSggg]\ggg & \K[\MNSleqslantdot]\leqslantdot & \K[\MNSngeqclosed]\ngeqclosed & \K[\MNSnleqslantdot]\nleqslantdot \\ \K[\MNSgnapprox]\gnapprox & \K[\MNSless]\less & \K[\MNSngeqdot]\ngeqdot & \K[\MNSnless]\nless \\ \K[\MNSgneqq]\gneqq & \K[\MNSlessapprox]\lessapprox & \K[\MNSngeqq]\ngeqq & \K[\MNSnlessclosed]\nlessclosed \\ \K[\MNSgnsim]\gnsim & \K[\MNSlessclosed]\lessclosed & \K[\MNSngeqslant]\ngeqslant & \K[\MNSnlessdot]\nlessdot \\ \K[\MNSgtr]\gtr & \K[\MNSlessdot]\lessdot & \K[\MNSngeqslantdot]\ngeqslantdot & \K[\MNSnlesseqgtr]\nlesseqgtr \\ \K[\MNSgtrapprox]\gtrapprox & \K[\MNSlesseqgtr]\lesseqgtr & \K[\MNSngg]\ngg & \K[\MNSnlesseqgtrslant]\nlesseqgtrslant \\ \K[\MNSgtrclosed]\gtrclosed & \K[\MNSlesseqgtrslant]\lesseqgtrslant & \K[\MNSnggg]\nggg & \K[\MNSnlesseqqgtr]\nlesseqqgtr \\ \K[\MNSgtrdot]\gtrdot & \K[\MNSlesseqqgtr]\lesseqqgtr & \K[\MNSngtr]\ngtr & \K[\MNSnlessgtr]\nlessgtr \\ \K[\MNSgtreqless]\gtreqless & \K[\MNSlessgtr]\lessgtr & \K[\MNSngtrclosed]\ngtrclosed & \K[\MNSnll]\nll \\ \K[\MNSgtreqlessslant]\gtreqlessslant & \K[\MNSlessneqqgtr]\lessneqqgtr & \K[\MNSngtrdot]\ngtrdot & \K[\MNSnlll]\nlll \\ \end{tabular} \bigskip \begin{tablenote} \MNS\ additionally defines synonyms for some of the preceding symbols: \newcommand*{\mnssyn}[1]{(same as \texttt{\string#1})} \renewcommand{\arraystretch}{1} \begin{tabular}{ll@{\quad}l} \K[\MNSggg]\gggtr & \mnssyn\ggg \\ \K[\MNSgneqq]\gvertneqq & \mnssyn\gneqq \\ \K[\MNSlessclosed]\lhd & \mnssyn\lessclosed \\ \K[\MNSlll]\llless & \mnssyn\lll \\ \K[\MNSlneqq]\lvertneqq & \mnssyn\lneqq \\ \K[\MNSnleqclosed]\ntrianglelefteq & \mnssyn\nleqclosed \\ \K[\MNSnlessclosed]\ntriangleleft & \mnssyn\nlessclosed \\ \K[\MNSngeqclosed]\ntrianglerighteq & \mnssyn\ngeqclosed \\ \K[\MNSngtrclosed]\ntriangleright & \mnssyn\ngtrclosed \\ \K[\MNSgtrclosed]\rhd & \mnssyn\gtrclosed \\ \K[\MNSleqclosed]\trianglelefteq & \mnssyn\leqclosed \\ \K[\MNSgeqclosed]\trianglerighteq & \mnssyn\geqclosed \\ \K[\MNSleqclosed]\unlhd & \mnssyn\leqclosed \\ \K[\MNSgeqclosed]\unrhd & \mnssyn\geqclosed \\ \K[\MNSlessclosed]\vartriangleleft & \mnssyn\lessclosed \\ \K[\MNSgtrclosed]\vartriangleright & \mnssyn\gtrclosed \\ \end{tabular} \end{tablenote} \end{symtable} \begin{longsymtable}[FDSYM]{\FDSYM\ Inequalities} \index{binary relations}\index{relational symbols>binary} \index{inequalities} \label{fdsym-inequal-rel} \renewcommand{\arraystretch}{1.25} % Keep visually similar symbols from touching. \begin{longtable}{ll*2{@{\hspace*{2em}}ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMeqslantgtr]\eqslantgtr & \K[\FDSYMleqslantdot]\leqslantdot & \K[\FDSYMngtrapprox]\ngtrapprox \\ \K[\FDSYMeqslantless]\eqslantless & \K[\FDSYMleqslcc]\leqslcc & \K[\FDSYMngtrcc]\ngtrcc \\ \K[\FDSYMgeq]\geq & \K[\FDSYMless]\less & \K[\FDSYMngtrclosed]\ngtrclosed \\ \K[\FDSYMgeqclosed]\geqclosed & \K[\FDSYMlessapprox]\lessapprox & \K[\FDSYMngtrdot]\ngtrdot \\ \K[\FDSYMgeqdot]\geqdot & \K[\FDSYMlesscc]\lesscc & \K[\FDSYMngtreqless]\ngtreqless \\ \K[\FDSYMgeqq]\geqq & \K[\FDSYMlessclosed]\lessclosed & \K[\FDSYMngtreqqless]\ngtreqqless \\ \K[\FDSYMgeqslant]\geqslant & \K[\FDSYMlessdot]\lessdot & \K[\FDSYMngtreqslantless]\ngtreqslantless \\ \K[\FDSYMgeqslantdot]\geqslantdot & \K[\FDSYMlesseqgtr]\lesseqgtr & \K[\FDSYMngtrless]\ngtrless \\ \K[\FDSYMgeqslcc]\geqslcc & \K[\FDSYMlesseqqgtr]\lesseqqgtr & \K[\FDSYMngtrsim]\ngtrsim \\ \K[\FDSYMgg]\gg & \K[\FDSYMlesseqslantgtr]\lesseqslantgtr & \K[\FDSYMnleq]\nleq \\ \K[\FDSYMggg]\ggg & \K[\FDSYMlessgtr]\lessgtr & \K[\FDSYMnleqclosed]\nleqclosed \\ \K[\FDSYMgnapprox]\gnapprox & \K[\FDSYMlesssim]\lesssim & \K[\FDSYMnleqdot]\nleqdot \\ \K[\FDSYMgneq]\gneq & \K[\FDSYMll]\ll & \K[\FDSYMnleqq]\nleqq \\ \K[\FDSYMgneqq]\gneqq & \K[\FDSYMlll]\lll & \K[\FDSYMnleqslant]\nleqslant \\ \K[\FDSYMgnsim]\gnsim & \K[\FDSYMlnapprox]\lnapprox & \K[\FDSYMnleqslantdot]\nleqslantdot \\ \K[\FDSYMgtr]\gtr & \K[\FDSYMlneq]\lneq & \K[\FDSYMnleqslcc]\nleqslcc \\ \K[\FDSYMgtrapprox]\gtrapprox & \K[\FDSYMlneqq]\lneqq & \K[\FDSYMnless]\nless \\ \K[\FDSYMgtrcc]\gtrcc & \K[\FDSYMlnsim]\lnsim & \K[\FDSYMnlessapprox]\nlessapprox \\ \K[\FDSYMgtrclosed]\gtrclosed & \K[\FDSYMneqslantgtr]\neqslantgtr & \K[\FDSYMnlesscc]\nlesscc \\ \K[\FDSYMgtrdot]\gtrdot & \K[\FDSYMneqslantless]\neqslantless & \K[\FDSYMnlessclosed]\nlessclosed \\ \K[\FDSYMgtreqless]\gtreqless & \K[\FDSYMngeq]\ngeq & \K[\FDSYMnlessdot]\nlessdot \\ \K[\FDSYMgtreqqless]\gtreqqless & \K[\FDSYMngeqclosed]\ngeqclosed & \K[\FDSYMnlesseqgtr]\nlesseqgtr \\ \K[\FDSYMgtreqslantless]\gtreqslantless & \K[\FDSYMngeqdot]\ngeqdot & \K[\FDSYMnlesseqqgtr]\nlesseqqgtr \\ \K[\FDSYMgtrless]\gtrless & \K[\FDSYMngeqq]\ngeqq & \K[\FDSYMnlesseqslantgtr]\nlesseqslantgtr \\ \K[\FDSYMgtrsim]\gtrsim & \K[\FDSYMngeqslant]\ngeqslant & \K[\FDSYMnlessgtr]\nlessgtr \\ \K[\FDSYMleq]\leq & \K[\FDSYMngeqslantdot]\ngeqslantdot & \K[\FDSYMnlesssim]\nlesssim \\ \K[\FDSYMleqclosed]\leqclosed & \K[\FDSYMngeqslcc]\ngeqslcc & \K[\FDSYMnll]\nll \\ \K[\FDSYMleqdot]\leqdot & \K[\FDSYMngg]\ngg & \K[\FDSYMnlll]\nlll \\ \K[\FDSYMleqq]\leqq & \K[\FDSYMnggg]\nggg & \\ \K[\FDSYMleqslant]\leqslant & \K[\FDSYMngtr]\ngtr & \\ \end{longtable} \FDSYM\ defines synonyms for some of the preceding symbols: \begin{longtable}{ll*2{@{\hspace*{2em}}ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMge]{\ge} & \K[\FDSYMlesdot]{\lesdot} & \K[\FDSYMngtcc]{\ngtcc} \\ \K[\FDSYMgescc]{\gescc} & \K[\FDSYMlesg]{\lesg} & \K[\FDSYMngtreqlessslant]{\ngtreqlessslant} \\ \K[\FDSYMgesdot]{\gesdot} & \K[\FDSYMlesseqgtrslant]{\lesseqgtrslant} & \K[\FDSYMnlescc]{\nlescc} \\ \K[\FDSYMgesl]{\gesl} & \K[\FDSYMlhd]{\lhd} & \K[\FDSYMnlesdot]{\nlesdot} \\ \K[\FDSYMgggtr]{\gggtr} & \K[\FDSYMllless]{\llless} & \K[\FDSYMnlesg]{\nlesg} \\ \K[\FDSYMgtcc]{\gtcc} & \K[\FDSYMltcc]{\ltcc} & \K[\FDSYMnlesseqgtrslant]{\nlesseqgtrslant} \\ \K[\FDSYMgtreqlessslant]{\gtreqlessslant} & \K[\FDSYMlvertneqq]{\lvertneqq} & \K[\FDSYMnltcc]{\nltcc} \\ \K[\FDSYMgvertneqq]{\gvertneqq} & \K[\FDSYMngescc]{\ngescc} & \K[\FDSYMrhd]{\rhd} \\ \K[\FDSYMle]{\le} & \K[\FDSYMngesdot]{\ngesdot} & \K[\FDSYMunlhd]{\unlhd} \\ \K[\FDSYMlescc]{\lescc} & \K[\FDSYMngesl]{\ngesl} & \K[\FDSYMunrhd]{\unrhd} \\ \end{longtable} \end{longsymtable} \begin{symtable}[BSK]{\BSK\ Inequalities} \index{binary relations} \index{relational symbols>binary} \index{inequalities} \label{bsk-inequal-rel} \renewcommand{\arraystretch}{1.25} % Keep visually similar symbols from touching. \begin{tabular}{ll*3{@{\hspace*{2em}}ll}} \K[\BSKeqslantgtr]\eqslantgtr & \K[\BSKgtcir]\gtcir & \K[\BSKlesseqqgtr]\lesseqqgtr & \K[\BSKngeq]\ngeq \\ \K[\BSKeqslantless]\eqslantless & \K[\BSKgtrapprox]\gtrapprox & \K[\BSKlessgtr]\lessgtr & \K[\BSKngeqq]\ngeqq \\ \K[\BSKgeqq]\geqq & \K[\BSKgtreqless]\gtreqless & \K[\BSKlesssim]\lesssim & \K[\BSKngeqslant]\ngeqslant \\ \K[\BSKgeqslant]\geqslant & \K[\BSKgtreqqless]\gtreqqless & \K[\BSKlll]\lll & \K[\BSKngtr]\ngtr \\ \K[\BSKggg]\ggg & \K[\BSKgtrless]\gtrless & \K[\BSKlnapprox]\lnapprox & \K[\BSKnleq]\nleq \\ \K[\BSKglj]\glj & \K[\BSKgtrsim]\gtrsim & \K[\BSKlneq]\lneq & \K[\BSKnleqq]\nleqq \\ \K[\BSKgnapprox]\gnapprox & \K[\BSKgvertneqq]\gvertneqq & \K[\BSKlneqq]\lneqq & \K[\BSKnleqslant]\nleqslant \\ \K[\BSKgneq]\gneq & \K[\BSKleqq]\leqq & \K[\BSKlnsim]\lnsim & \K[\BSKnless]\nless \\ \K[\BSKgneqq]\gneqq & \K[\BSKleqslant]\leqslant & \K[\BSKLt]\Lt & \\ \K[\BSKgnsim]\gnsim & \K[\BSKlessapprox]\lessapprox & \K[\BSKltcir]\ltcir & \\ \K[\BSKGt]\Gt & \K[\BSKlesseqgtr]\lesseqgtr & \K[\BSKlvertneqq]\lvertneqq & \\ \end{tabular} \end{symtable} \begin{longsymtable}[STIX]{\STIX\ Inequalities} \ltindex{binary relations} \ltindex{relational symbols>binary} \ltindex{inequalities} \label{stix-inequal-rel} \renewcommand{\arraystretch}{1.25} % Keep visually similar symbols from touching. \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXegsdot]\egsdot & \K[\STIXgtquest]\gtquest & \K[\STIXlnsim]\lnsim \\ \K[\STIXelsdot]\elsdot & \K[\STIXgtrapprox]\gtrapprox & \K[\STIXlsime]\lsime \\ \K[\STIXeqgtr]\eqgtr & \K[\STIXgtrarr]\gtrarr & \K[\STIXlsimg]\lsimg \\ \K[\STIXeqless]\eqless & \K[\STIXgtrdot]\gtrdot & \K[\STIXLt]\Lt \\ \K[\STIXeqqgtr]\eqqgtr & \K[\STIXgtreqless]\gtreqless & \K[\STIXltcc]\ltcc \\ \K[\STIXeqqless]\eqqless & \K[\STIXgtreqqless]\gtreqqless & \K[\STIXltcir]\ltcir \\ \K[\STIXeqqslantgtr]\eqqslantgtr & \K[\STIXgtrless]\gtrless & \K[\STIXltlarr]\ltlarr \\ \K[\STIXeqqslantless]\eqqslantless & \K[\STIXgtrsim]\gtrsim & \K[\STIXltquest]\ltquest \\ \K[\STIXeqslantgtr]\eqslantgtr & \K[\STIXgvertneqq]\gvertneqq & \K[\STIXlvertneqq]\lvertneqq \\ \K[\STIXeqslantless]\eqslantless & \K[\STIXlat]\lat & \K[\STIXneqslantgtr]\neqslantgtr \\ \K[\STIXgeq]\geq & \K[\STIXlate]\late & \K[\STIXneqslantless]\neqslantless \\ \K[\STIXgeqq]\geqq & \K[\STIXleftarrowless]\leftarrowless & \K[\STIXngeq]\ngeq \\ \K[\STIXgeqqslant]\geqqslant & \K[\STIXleq]\leq & \K[\STIXngeqq]\ngeqq \\ \K[\STIXgeqslant]\geqslant & \K[\STIXleqq]\leqq & \K[\STIXngeqslant]\ngeqslant \\ \K[\STIXgescc]\gescc & \K[\STIXleqqslant]\leqqslant & \K[\STIXngg]\ngg \\ \K[\STIXgesdot]\gesdot & \K[\STIXleqslant]\leqslant & \K[\STIXngtr]\ngtr \\ \K[\STIXgesdoto]\gesdoto & \K[\STIXlescc]\lescc & \K[\STIXngtrless]\ngtrless \\ \K[\STIXgesdotol]\gesdotol & \K[\STIXlesdot]\lesdot & \K[\STIXngtrsim]\ngtrsim \\ \K[\STIXgesles]\gesles & \K[\STIXlesdoto]\lesdoto & \K[\STIXnleq]\nleq \\ \K[\STIXgg]\gg & \K[\STIXlesdotor]\lesdotor & \K[\STIXnleqq]\nleqq \\ \K[\STIXggg]\ggg & \K[\STIXlesges]\lesges & \K[\STIXnleqslant]\nleqslant \\ \K[\STIXgggnest]\gggnest & \K[\STIXlessapprox]\lessapprox & \K[\STIXnless]\nless \\ \K[\STIXgla]\gla & \K[\STIXlessdot]\lessdot & \K[\STIXnlessgtr]\nlessgtr \\ \K[\STIXglE]\glE & \K[\STIXlesseqgtr]\lesseqgtr & \K[\STIXnlesssim]\nlesssim \\ \K[\STIXglj]\glj & \K[\STIXlesseqqgtr]\lesseqqgtr & \K[\STIXnll]\nll \\ \K[\STIXgnapprox]\gnapprox & \K[\STIXlessgtr]\lessgtr & \K[\STIXpartialmeetcontraction]\partialmeetcontraction \\ \K[\STIXgneq]\gneq & \K[\STIXlesssim]\lesssim & \K[\STIXrightarrowgtr]\rightarrowgtr \\ \K[\STIXgneqq]\gneqq & \K[\STIXlgE]\lgE & \K[\STIXsimgE]\simgE \\ \K[\STIXgnsim]\gnsim & \K[\STIXll]\ll & \K[\STIXsimgtr]\simgtr \\ \K[\STIXgsime]\gsime & \K[\STIXlll]\lll & \K[\STIXsimlE]\simlE \\ \K[\STIXgsiml]\gsiml & \K[\STIXlllnest]\lllnest & \K[\STIXsimless]\simless \\ \K[\STIXGt]\Gt & \K[\STIXlnapprox]\lnapprox & \K[\STIXsmt]\smt \\ \K[\STIXgtcc]\gtcc & \K[\STIXlneq]\lneq & \K[\STIXsmte]\smte \\ \K[\STIXgtcir]\gtcir & \K[\STIXlneqq]\lneqq & \\ \end{longtable} \begin{tablenote} \STIX\ defines \cmdI[\string\STIXle]{\le} as a synonym for \cmdI[\string\STIXleq]{\leq}, \cmdI[\string\STIXge]{\ge} as a synonym for \cmdI[\string\STIXgeq]{\geq}, \cmdI[\string\STIXllless]{\llless} as a synonym for \cmdI[\string\STIXlll]{\lll}, \cmdI[\string\STIXgggtr]{\gggtr} as a synonym for \cmdI[\string\STIXggg]{\ggg}, \cmdI[\string\STIXnle]{\nle} as a synonym for \cmdI[\string\STIXnleq]{\nleq}, and \cmdI[\string\STIXnge]{\nge} as a synonym for \cmdI[\string\STIXngeq]{\ngeq}. \end{tablenote} \end{longsymtable} \begin{symtable}[AMS]{\AMS\ Triangle Relations} \index{triangle relations}\index{relational symbols>triangle} \label{ams-triangle-rel} \begin{tabular}{*3{ll}} \X\blacktriangleleft & \X\ntriangleright & \X\trianglerighteq \\ \X\blacktriangleright & \X\ntrianglerighteq & \X\vartriangleleft \\ \X\ntriangleleft & \X\trianglelefteq & \X\vartriangleright \\ \X\ntrianglelefteq & \X\triangleq & \\ \end{tabular} \end{symtable} \begin{symtable}[ST]{\ST\ Triangle Relations} \index{triangle relations}\index{relational symbols>triangle} \label{st-triangle-rel} \begin{tabular}{*2{ll}} \X\trianglelefteqslant & \X\trianglerighteqslant \\ \X\ntrianglelefteqslant & \X\ntrianglerighteqslant \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Triangle Relations} \index{triangle relations}\index{relational symbols>triangle} \label{abx-triangle-rel} \begin{tabular}{*3{ll}} \X[\ABXntriangleleft]\ntriangleleft & \X[\ABXtriangleleft]\triangleleft & \X[\ABXvartriangleleft]\vartriangleleft \\ \X[\ABXntrianglelefteq]\ntrianglelefteq & \X[\ABXtrianglelefteq]\trianglelefteq & \X[\ABXvartriangleright]\vartriangleright \\ \X[\ABXntriangleright]\ntriangleright & \X[\ABXtriangleright]\triangleright & \\ \X[\ABXntrianglerighteq]\ntrianglerighteq & \X[\ABXtrianglerighteq]\trianglerighteq & \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Triangle Relations} \index{triangle relations}\index{relational symbols>triangle} \label{mns-triangle-rel} \begin{tabular}{*3{ll}} \K[\MNSfilledmedtriangledown]\filledmedtriangledown & \K[\MNSlargetriangleup]\largetriangleup & \K[\MNSsmalltriangledown]\smalltriangledown \\ \K[\MNSfilledmedtriangleleft]\filledmedtriangleleft & \K[\MNSmedtriangledown]\medtriangledown & \K[\MNSsmalltriangleleft]\smalltriangleleft \\ \K[\MNSfilledmedtriangleright]\filledmedtriangleright & \K[\MNSmedtriangleleft]\medtriangleleft & \K[\MNSsmalltriangleright]\smalltriangleright \\ \K[\MNSfilledmedtriangleup]\filledmedtriangleup & \K[\MNSmedtriangleright]\medtriangleright & \K[\MNSsmalltriangleup]\smalltriangleup \\ \K[\MNSfilledtriangledown]\filledtriangledown & \K[\MNSmedtriangleup]\medtriangleup & \K[\MNStriangleeq]\triangleeq \\ \K[\MNSfilledtriangleleft]\filledtriangleleft & \K[\MNSntriangleeq]\ntriangleeq & \K[\MNSleqclosed]\trianglelefteq \\ \K[\MNSfilledtriangleright]\filledtriangleright & \K[\MNSnlessclosed]\ntriangleleft & \K[\MNSgeqclosed]\trianglerighteq \\ \K[\MNSfilledtriangleup]\filledtriangleup & \K[\MNSnleqclosed]\ntrianglelefteq & \K[\MNSlessclosed]\vartriangleleft \\ \K[\MNSlargetriangledown]\largetriangledown & \K[\MNSngtrclosed]\ntriangleright & \K[\MNSgtrclosed]\vartriangleright \\ \K[\MNSlargetriangleleft]\largetriangleleft & \K[\MNSngeqclosed]\ntrianglerighteq & \\ \K[\MNSlargetriangleright]\largetriangleright & \K[\MNSotriangle]\otriangle & \\ \end{tabular} \bigskip \begin{tablenote} \MNS\ additionally defines synonyms for many of the preceding symbols: \cmdI[\MNStriangleeq]{\triangleq} is a synonym for \cmdI[\MNStriangleeq]{\triangleeq}; \cmdI[\MNSlessclosed]{\lhd} and \cmdI[\MNSlessclosed]{\lessclosed} are synonyms for \cmdI[\MNSlessclosed]{\vartriangleleft}; \cmdI[\MNSgtrclosed]{\rhd} and \cmdI[\MNSgtrclosed]{\gtrclosed} are synonyms for \cmdI[\MNSgtrclosed]{\vartriangleright}; \cmdI[\MNSleqclosed]{\unlhd} and \cmdI[\MNSleqclosed]{\leqclosed} are synonyms for \cmdI[\MNSleqclosed]{\trianglelefteq}; \cmdI[\MNSgeqclosed]{\unrhd} and \cmdI[\MNSgeqclosed]{\geqclosed} are synonyms for \cmdI[\MNSgeqclosed]{\trianglerighteq}; \cmdI[\MNSfilledmedtriangledown]{\blacktriangledown}, \cmdI[\MNSfilledmedtriangleleft]{\blacktriangleleft}, \cmdI[\MNSfilledmedtriangleright]{\blacktriangleright}, and \cmdI[\MNSfilledmedtriangleup]{\blacktriangle} [\textit{sic}] are synonyms for, respectively, \cmdI[\MNSfilledmedtriangledown]{\filledmedtriangledown}, \cmdI[\MNSfilledmedtriangleleft]{\filledmedtriangleleft}, \cmdI[\MNSfilledmedtriangleright]{\filledmedtriangleright}, and \cmdI[\MNSfilledmedtriangleup]{\filledmedtriangleup}; \cmdI[\MNSmedtriangleright]{\triangleright} is a synonym for \cmdI[\MNSmedtriangleright]{\medtriangleright}; \cmdI[\MNSmedtriangleup]{\triangle}, \cmdI[\MNSmedtriangleup]{\vartriangle}, and \cmdI[\MNSmedtriangleup]{\bigtriangleup} are synonyms for \cmdI[\MNSmedtriangleup]{\medtriangleup}; \cmdI[\MNSmedtriangleleft]{\triangleleft} is a synonym for \cmdI[\MNSmedtriangleleft]{\medtriangleleft}; \cmdI[\MNSmedtriangledown]{\triangledown} and \cmdI[\MNSmedtriangledown]{\bigtriangledown} are synonyms for \cmdI[\MNSmedtriangledown]{\medtriangledown}; \cmdI[\MNSnlessclosed]{\nlessclosed} is a synonym for \cmdI[\MNSnlessclosed]{\ntriangleleft}; \cmdI[\MNSngtrclosed]{\ngtrclosed} is a synonym for \cmdI[\MNSngtrclosed]{\ntriangleright}; \cmdI[\MNSnleqclosed]{\nleqclosed} is a synonym for \cmdI[\MNSnleqclosed]{\ntrianglelefteq}; and \cmdI[\MNSngeqclosed]{\ngeqclosed} is a synonym for \cmdI[\MNSngeqclosed]{\ntrianglerighteq}. \end{tablenote} \bigskip \begin{tablenote} The title ``Triangle Relations'' is a bit of a misnomer here as only \cmdI[\MNStriangleeq]{\triangleeq} and \cmdI[\MNSntriangleeq]{\ntriangleeq} are defined as \tex\ relations (class~3 symbols). The \verb|\largetriangle|\dots\ symbols are defined as \tex\ ``ordinary'' characters (class~0) and all of the remaining characters are defined as \tex\ binary operators (class~2). \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Triangle Relations} \index{triangle relations}\index{relational symbols>triangle} \label{fdsym-triangle-rel} \begin{tabular}{*3{ll}} \K[\FDSYMgeqclosed]\geqclosed & \K[\FDSYMmedtriangledown]\medtriangledown & \K[\FDSYMsmallblacktriangleleft]\smallblacktriangleleft \\ \K[\FDSYMgtrclosed]\gtrclosed & \K[\FDSYMmedtriangleleft]\medtriangleleft & \K[\FDSYMsmallblacktriangleright]\smallblacktriangleright \\ \K[\FDSYMlargetriangledown]\largetriangledown & \K[\FDSYMmedtriangleright]\medtriangleright & \K[\FDSYMsmallblacktriangleup]\smallblacktriangleup \\ \K[\FDSYMlargetriangleup]\largetriangleup & \K[\FDSYMmedtriangleup]\medtriangleup & \K[\FDSYMsmalltriangledown]\smalltriangledown \\ \K[\FDSYMleqclosed]\leqclosed & \K[\FDSYMngeqclosed]\ngeqclosed & \K[\FDSYMsmalltriangleleft]\smalltriangleleft \\ \K[\FDSYMlessclosed]\lessclosed & \K[\FDSYMngtrclosed]\ngtrclosed & \K[\FDSYMsmalltriangleright]\smalltriangleright \\ \K[\FDSYMmedblacktriangledown]\medblacktriangledown & \K[\FDSYMnleqclosed]\nleqclosed & \K[\FDSYMsmalltriangleup]\smalltriangleup \\ \K[\FDSYMmedblacktriangleleft]\medblacktriangleleft & \K[\FDSYMnlessclosed]\nlessclosed & \K[\FDSYMtriangleeq]\triangleeq \\ \K[\FDSYMmedblacktriangleright]\medblacktriangleright & \K[\FDSYMntriangleeq]\ntriangleeq & \\ \K[\FDSYMmedblacktriangleup]\medblacktriangleup & \K[\FDSYMsmallblacktriangledown]\smallblacktriangledown & \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines synonyms for almost all of the preceding symbols: \begin{tabular}{*3{ll}} \K[\FDSYMbigtriangledown]{\bigtriangledown} & \K[\FDSYMntrianglelefteq]{\ntrianglelefteq} & \K[\FDSYMtriangleq]{\triangleq} \\ \K[\FDSYMbigtriangleup]{\bigtriangleup} & \K[\FDSYMntriangleright]{\ntriangleright} & \K[\FDSYMtriangleright]{\triangleright} \\ \K[\FDSYMblacktriangle]{\blacktriangle} & \K[\FDSYMntrianglerighteq]{\ntrianglerighteq} & \K[\FDSYMtrianglerighteq]{\trianglerighteq} \\ \K[\FDSYMblacktriangledown]{\blacktriangledown} & \K[\FDSYMtriangle]{\triangle} & \K[\FDSYMvartriangle]{\vartriangle} \\ \K[\FDSYMblacktriangleleft]{\blacktriangleleft} & \K[\FDSYMtriangledown]{\triangledown} & \K[\FDSYMvartriangleleft]{\vartriangleleft} \\ \K[\FDSYMblacktriangleright]{\blacktriangleright} & \K[\FDSYMtriangleleft]{\triangleleft} & \K[\FDSYMvartriangleright]{\vartriangleright} \\ \K[\FDSYMntriangleleft]{\ntriangleleft} & \K[\FDSYMtrianglelefteq]{\trianglelefteq} & \\ \end{tabular} \end{tablenote} \bigskip \begin{tablenote} The title ``Triangle Relations'' is a bit of a misnomer here as only \cmdI[\FDSYMtriangleeq]{\triangleeq} and \cmdI[\FDSYMntriangleeq]{\ntriangleeq} are defined as \tex\ relations (class~3 symbols). The \verb|\largetriangle|\dots\ symbols are defined as \tex\ ``ordinary'' characters (class~0) and all of the remaining characters are defined as \tex\ binary operators (class~2). \end{tablenote} \end{symtable} \begin{symtable}[BSK]{\BSK\ Triangle Relations} \index{triangle relations} \index{relational symbols>triangle} \label{bsk-triangle-rel} \begin{tabular}{*3{ll}} \K[\BSKntriangleleft]\ntriangleleft & \K[\BSKtrianglelefteq]\trianglelefteq & \K[\BSKvarlrttriangle]\varlrttriangle \\ \K[\BSKntrianglelefteq]\ntrianglelefteq & \K[\BSKtrianglelefteqslant]\trianglelefteqslant & \K[\BSKvartriangle]\vartriangle \\ \K[\BSKntriangleright]\ntriangleright & \K[\BSKtriangleright]\triangleright & \K[\BSKvartriangleleft]\vartriangleleft \\ \K[\BSKntrianglerighteq]\ntrianglerighteq & \K[\BSKtrianglerighteq]\trianglerighteq & \K[\BSKvartriangleright]\vartriangleright \\ \K[\BSKtriangleleft]\triangleleft & \K[\BSKtrianglerighteqslant]\trianglerighteqslant & \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Triangle Relations} \index{triangle relations} \index{relational symbols>triangle} \label{stix-triangle-rel} \begin{tabular}{*3{ll}} \K[\STIXlrtriangleeq]\lrtriangleeq & \K[\STIXnvartriangleright]\nvartriangleright & \K[\STIXvartriangle]\vartriangle \\ \K[\STIXltrivb]\ltrivb & \K[\STIXrtriltri]\rtriltri & \K[\STIXvartriangleleft]\vartriangleleft \\ \K[\STIXntrianglelefteq]\ntrianglelefteq & \K[\STIXtrianglelefteq]\trianglelefteq & \K[\STIXvartriangleright]\vartriangleright \\ \K[\STIXntrianglerighteq]\ntrianglerighteq & \K[\STIXtriangleq]\triangleq & \K[\STIXvbrtri]\vbrtri \\ \K[\STIXnvartriangleleft]\nvartriangleleft & \K[\STIXtrianglerighteq]\trianglerighteq & \\ \end{tabular} \end{symtable} \begin{symtable}{Arrows} \index{arrows} \label{arrow} \begin{tabular}{*3{ll}} \X\Downarrow & \X\longleftarrow & \X\nwarrow \\ \X\downarrow & \X\Longleftarrow & \X\Rightarrow \\ \X\hookleftarrow & \X\longleftrightarrow & \X\rightarrow \\ \X\hookrightarrow & \X\Longleftrightarrow & \X\searrow \\ \X\leadsto$^*$ & \X\longmapsto & \X\swarrow \\ \X\leftarrow & \X\Longrightarrow & \X\uparrow \\ \X\Leftarrow & \X\longrightarrow & \X\Uparrow \\ \X\Leftrightarrow & \X\mapsto & \X\updownarrow \\ \X\leftrightarrow & \X\nearrow$^\dag$ & \X\Updownarrow \\ \end{tabular} \bigskip \notpredefinedmessage \bigskip \begin{tablenote}[\dag] See the note beneath \ref{extensible-accents} for information about how to put a diagonal arrow across a mathematical expression% \ifhavecancel ~(as in ``$\cancelto{0}{\nabla \cdot \vec{B}}\quad$'') \fi . \end{tablenote} \end{symtable} \begin{symtable}{Harpoons} \index{harpoons} \label{harpoons} \begin{tabular}{*3{ll}} \X\leftharpoondown & \X\rightharpoondown & \X\rightleftharpoons \\ \X\leftharpoonup & \X\rightharpoonup \\ \end{tabular} \end{symtable} \begin{symtable}{\TC\ Text-mode Arrows} \index{arrows} \label{tc-arrows} \begin{tabular}{*2{ll}} \K\textdownarrow & \K\textrightarrow \\ \K\textleftarrow & \K\textuparrow \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Arrows} \index{arrows} \label{ams-arrows} \begin{tabular}{*3{ll}} \X\circlearrowleft & \X\leftleftarrows & \X\rightleftarrows \\ \X\circlearrowright & \X\leftrightarrows & \X\rightrightarrows \\ \X\curvearrowleft & \X\leftrightsquigarrow & \X\rightsquigarrow \\ \X\curvearrowright & \X\Lleftarrow & \X\Rsh \\ \X\dashleftarrow & \X\looparrowleft & \X\twoheadleftarrow \\ \X\dashrightarrow & \X\looparrowright & \X\twoheadrightarrow \\ \X\downdownarrows & \X\Lsh & \X\upuparrows \\ \X\leftarrowtail & \X\rightarrowtail & \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Negated Arrows} \index{arrows>negated} \label{ams-narrows} \begin{tabular}{*3{ll}} \X\nLeftarrow & \X\nLeftrightarrow & \X\nRightarrow \\ \X\nleftarrow & \X\nleftrightarrow & \X\nrightarrow \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Harpoons} \index{harpoons} \label{ams-harpoons} \begin{tabular}{*3{ll}} \X\downharpoonleft & \X\leftrightharpoons & \X\upharpoonleft \\ \X\downharpoonright & \X[\AMSrightleftharpoons]\rightleftharpoons & \X\upharpoonright \\ \end{tabular} \end{symtable} \begin{symtable}[ST]{\ST\ Arrows} \index{arrows} \label{st-arrows} \begin{tabular}{*3{ll}} \X\leftarrowtriangle & \X\Mapsfrom & \X\shortleftarrow \\ \X\leftrightarroweq & \X\mapsfrom & \X\shortrightarrow \\ \X\leftrightarrowtriangle & \X\Mapsto & \X\shortuparrow \\ \X\lightning & \X\nnearrow & \X\ssearrow \\ \X\Longmapsfrom & \X\nnwarrow & \X\sswarrow \\ \X\longmapsfrom & \X\rightarrowtriangle \\ \X\Longmapsto & \X\shortdownarrow \\ \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Arrows} \index{arrows} \index{rhombuses} \label{txpx-arrows} \begin{tabular}{*3{ll}} \X\boxdotLeft & \X\circleddotright & \X\Diamondleft \\ \X\boxdotleft & \X\circleleft & \X\Diamondright \\ \X\boxdotright & \X\circleright & \X\DiamondRight \\ \X\boxdotRight & \X\dashleftrightarrow & \X\leftsquigarrow \\ \X\boxLeft & \X\DiamonddotLeft & \X\Nearrow \\ \X\boxleft & \X\Diamonddotleft & \X\Nwarrow \\ \X\boxright & \X\Diamonddotright & \X\Rrightarrow \\ \X\boxRight & \X\DiamonddotRight & \X\Searrow \\ \X\circleddotleft & \X\DiamondLeft & \X\Swarrow \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Arrows} \index{arrows} \index{restrictions} \label{abx-arrows} \begin{tabular}{*3{ll}} \X[\ABXcirclearrowleft]\circlearrowleft & \X[\ABXleftarrow]\leftarrow & \X[\ABXnwarrow]\nwarrow \\ \X[\ABXcirclearrowright]\circlearrowright & \X[\ABXleftleftarrows]\leftleftarrows & \X[\ABXrestriction]\restriction \\ \X[\ABXcurvearrowbotleft]\curvearrowbotleft & \X[\ABXleftrightarrow]\leftrightarrow & \X[\ABXrightarrow]\rightarrow \\ \X[\ABXcurvearrowbotleftright]\curvearrowbotleftright & \X[\ABXleftrightarrows]\leftrightarrows & \X[\ABXrightleftarrows]\rightleftarrows \\ \X[\ABXcurvearrowbotright]\curvearrowbotright & \X[\ABXleftrightsquigarrow]\leftrightsquigarrow & \X[\ABXrightrightarrows]\rightrightarrows \\ \X[\ABXcurvearrowleft]\curvearrowleft & \X[\ABXleftsquigarrow]\leftsquigarrow & \X[\ABXrightsquigarrow]\rightsquigarrow \\ \X[\ABXcurvearrowleftright]\curvearrowleftright & \X[\ABXlefttorightarrow]\lefttorightarrow & \X[\ABXrighttoleftarrow]\righttoleftarrow \\ \X[\ABXcurvearrowright]\curvearrowright & \X[\ABXlooparrowdownleft]\looparrowdownleft & \X[\ABXRsh]\Rsh \\ \X[\ABXdlsh]\dlsh & \X[\ABXlooparrowdownright]\looparrowdownright & \X[\ABXsearrow]\searrow \\ \X[\ABXdowndownarrows]\downdownarrows & \X[\ABXlooparrowleft]\looparrowleft & \X[\ABXswarrow]\swarrow \\ \X[\ABXdowntouparrow]\downtouparrow & \X[\ABXlooparrowright]\looparrowright & \X[\ABXupdownarrows]\updownarrows \\ \X[\ABXdownuparrows]\downuparrows & \X[\ABXLsh]\Lsh & \X[\ABXuptodownarrow]\uptodownarrow \\ \X[\ABXdrsh]\drsh & \X[\ABXnearrow]\nearrow & \X[\ABXupuparrows]\upuparrows \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Negated Arrows} \index{arrows>negated} \label{abx-narrows} \begin{tabular}{*3{ll}} \X[\ABXnLeftarrow]\nLeftarrow & \X[\ABXnleftrightarrow]\nleftrightarrow & \X[\ABXnrightarrow]\nrightarrow \\ \X[\ABXnleftarrow]\nleftarrow & \X[\ABXnLeftrightarrow]\nLeftrightarrow & \X[\ABXnRightarrow]\nRightarrow \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Harpoons} \index{harpoons} \label{abx-harpoons} \begin{tabular}{*3{ll}} \X[\ABXbarleftharpoon]\barleftharpoon & \X[\ABXleftharpoonup]\leftharpoonup & \X[\ABXrightleftharpoons]\rightleftharpoons \\ \X[\ABXbarrightharpoon]\barrightharpoon & \X[\ABXleftleftharpoons]\leftleftharpoons & \X[\ABXrightrightharpoons]\rightrightharpoons \\ \X[\ABXdowndownharpoons]\downdownharpoons & \X[\ABXleftrightharpoon]\leftrightharpoon & \X[\ABXupdownharpoons]\updownharpoons \\ \X[\ABXdownharpoonleft]\downharpoonleft & \X[\ABXleftrightharpoons]\leftrightharpoons & \X[\ABXupharpoonleft]\upharpoonleft \\ \X[\ABXdownharpoonright]\downharpoonright & \X[\ABXrightbarharpoon]\rightbarharpoon & \X[\ABXupharpoonright]\upharpoonright \\ \X[\ABXdownupharpoons]\downupharpoons & \X[\ABXrightharpoondown]\rightharpoondown & \X[\ABXupupharpoons]\upupharpoons \\ \X[\ABXleftbarharpoon]\leftbarharpoon & \X[\ABXrightharpoonup]\rightharpoonup \\ \X[\ABXleftharpoondown]\leftharpoondown & \X[\ABXrightleftharpoon]\rightleftharpoon \\ \end{tabular} \end{symtable} \begin{longsymtable}[MNS]{\MNS\ Arrows} \index{arrows} \label{mns-arrows} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\MNScurvearrowdownup]\curvearrowdownup & \X[\MNSlongleftarrow]\longleftarrow & \K[\MNSrhookswarrow]\rhookswarrow \\ \K[\MNScurvearrowleftright]\curvearrowleftright & \X[\MNSLongleftarrow]\Longleftarrow & \K[\MNSrhookuparrow]\rhookuparrow \\ \K[\MNScurvearrownesw]\curvearrownesw & \X[\MNSlongleftrightarrow]\longleftrightarrow & \K[\MNSrightarrow]\rightarrow \\ \K[\MNScurvearrownwse]\curvearrownwse & \X[\MNSLongleftrightarrow]\Longleftrightarrow & \K[\MNSRightarrow]\Rightarrow \\ \K[\MNScurvearrowrightleft]\curvearrowrightleft & \X[\MNSlongmapsto]\longmapsto & \K[\MNSrightarrowtail]\rightarrowtail \\ \K[\MNScurvearrowsenw]\curvearrowsenw & \X[\MNSlongrightarrow]\longrightarrow & \K[\MNSrightleftarrows]\rightleftarrows \\ \K[\MNScurvearrowswne]\curvearrowswne & \X[\MNSLongrightarrow]\Longrightarrow & \K[\MNSrightlsquigarrow]\rightlsquigarrow \\ \K[\MNScurvearrowupdown]\curvearrowupdown & \K[\MNSlooparrowleft]\looparrowleft & \K[\MNSrightmapsto]\rightmapsto \\ \K[\MNSdasheddownarrow]\dasheddownarrow & \K[\MNSlooparrowright]\looparrowright & \K[\MNSrightrightarrows]\rightrightarrows \\ \K[\MNSdashedleftarrow]\dashedleftarrow & \K[\MNSLsh]\Lsh & \K[\MNSrightrsquigarrow]\rightrsquigarrow \\ \K[\MNSdashednearrow]\dashednearrow & \K[\MNSnearrow]\nearrow & \K[\MNSRrightarrow]\Rrightarrow \\ \K[\MNSdashednwarrow]\dashednwarrow & \K[\MNSNearrow]\Nearrow & \K[\MNSRsh]\Rsh \\ \K[\MNSdashedrightarrow]\dashedrightarrow & \K[\MNSnearrowtail]\nearrowtail & \K[\MNSsearrow]\searrow \\ \K[\MNSdashedsearrow]\dashedsearrow & \K[\MNSnelsquigarrow]\nelsquigarrow & \K[\MNSSearrow]\Searrow \\ \K[\MNSdashedswarrow]\dashedswarrow & \K[\MNSnemapsto]\nemapsto & \K[\MNSsearrowtail]\searrowtail \\ \K[\MNSdasheduparrow]\dasheduparrow & \K[\MNSnenearrows]\nenearrows & \K[\MNSselsquigarrow]\selsquigarrow \\ \K[\MNSDownarrow]\Downarrow & \K[\MNSnersquigarrow]\nersquigarrow & \K[\MNSsemapsto]\semapsto \\ \K[\MNSdownarrow]\downarrow & \K[\MNSneswarrow]\neswarrow & \K[\MNSsenwarrows]\senwarrows \\ \K[\MNSdownarrowtail]\downarrowtail & \K[\MNSNeswarrow]\Neswarrow & \K[\MNSsersquigarrow]\sersquigarrow \\ \K[\MNSdowndownarrows]\downdownarrows & \K[\MNSneswarrows]\neswarrows & \K[\MNSsesearrows]\sesearrows \\ \K[\MNSdownlsquigarrow]\downlsquigarrow & \K[\MNSnwarrow]\nwarrow & \K[\MNSsquigarrowdownup]\squigarrowdownup \\ \K[\MNSdownmapsto]\downmapsto & \K[\MNSNwarrow]\Nwarrow & \K[\MNSsquigarrowleftright]\squigarrowleftright \\ \K[\MNSdownrsquigarrow]\downrsquigarrow & \K[\MNSnwarrowtail]\nwarrowtail & \K[\MNSsquigarrownesw]\squigarrownesw \\ \K[\MNSdownuparrows]\downuparrows & \K[\MNSnwlsquigarrow]\nwlsquigarrow & \K[\MNSsquigarrownwse]\squigarrownwse \\ \K[\MNSlcirclearrowdown]\lcirclearrowdown & \K[\MNSnwmapsto]\nwmapsto & \K[\MNSsquigarrowrightleft]\squigarrowrightleft \\ \K[\MNSlcirclearrowleft]\lcirclearrowleft & \K[\MNSnwnwarrows]\nwnwarrows & \K[\MNSsquigarrowsenw]\squigarrowsenw \\ \K[\MNSlcirclearrowright]\lcirclearrowright & \K[\MNSnwrsquigarrow]\nwrsquigarrow & \K[\MNSsquigarrowswne]\squigarrowswne \\ \K[\MNSlcirclearrowup]\lcirclearrowup & \K[\MNSnwsearrow]\nwsearrow & \K[\MNSsquigarrowupdown]\squigarrowupdown \\ \K[\MNSlcurvearrowdown]\lcurvearrowdown & \K[\MNSNwsearrow]\Nwsearrow & \K[\MNSswarrow]\swarrow \\ \K[\MNSlcurvearrowleft]\lcurvearrowleft & \K[\MNSnwsearrows]\nwsearrows & \K[\MNSSwarrow]\Swarrow \\ \K[\MNSlcurvearrowne]\lcurvearrowne & \K[\strut\smash\MNSpartialvardlcircleleftint]\partialvardlcircleleftint$^*$ & \K[\MNSswarrowtail]\swarrowtail \\ \K[\MNSlcurvearrownw]\lcurvearrownw & \K[\strut\smash\MNSpartialvardlcirclerightint]\partialvardlcirclerightint$^*$ & \K[\MNSswlsquigarrow]\swlsquigarrow \\ \K[\MNSlcurvearrowright]\lcurvearrowright & \K[\strut\smash\MNSpartialvardrcircleleftint]\partialvardrcircleleftint$^*$ & \K[\MNSswmapsto]\swmapsto \\ \K[\MNSlcurvearrowse]\lcurvearrowse & \K[\strut\smash\MNSpartialvardrcirclerightint]\partialvardrcirclerightint$^*$ & \K[\MNSswnearrows]\swnearrows \\ \K[\MNSlcurvearrowsw]\lcurvearrowsw & \K[\strut\smash\MNSpartialvartlcircleleftint]\partialvartlcircleleftint$^*$ & \K[\MNSswrsquigarrow]\swrsquigarrow \\ \K[\MNSlcurvearrowup]\lcurvearrowup & \K[\strut\smash\MNSpartialvartlcirclerightint]\partialvartlcirclerightint$^*$ & \K[\MNSswswarrows]\swswarrows \\ \K[\MNSLeftarrow]\Leftarrow & \K[\strut\smash\MNSpartialvartrcircleleftint]\partialvartrcircleleftint$^*$ & \K[\MNStwoheaddownarrow]\twoheaddownarrow \\ \K[\MNSleftarrow]\leftarrow & \K[\strut\smash\MNSpartialvartrcirclerightint]\partialvartrcirclerightint$^*$ & \K[\MNStwoheadleftarrow]\twoheadleftarrow \\ \K[\MNSleftarrowtail]\leftarrowtail & \K[\MNSrcirclearrowdown]\rcirclearrowdown & \K[\MNStwoheadnearrow]\twoheadnearrow \\ \K[\MNSleftleftarrows]\leftleftarrows & \K[\MNSrcirclearrowleft]\rcirclearrowleft & \K[\MNStwoheadnwarrow]\twoheadnwarrow \\ \K[\MNSleftlsquigarrow]\leftlsquigarrow & \K[\MNSrcirclearrowright]\rcirclearrowright & \K[\MNStwoheadrightarrow]\twoheadrightarrow \\ \K[\MNSleftmapsto]\leftmapsto & \K[\MNSrcirclearrowup]\rcirclearrowup & \K[\MNStwoheadsearrow]\twoheadsearrow \\ \K[\MNSleftrightarrow]\leftrightarrow & \K[\MNSrcurvearrowdown]\rcurvearrowdown & \K[\MNStwoheadswarrow]\twoheadswarrow \\ \K[\MNSLeftrightarrow]\Leftrightarrow & \K[\MNSrcurvearrowleft]\rcurvearrowleft & \K[\MNStwoheaduparrow]\twoheaduparrow \\ \K[\MNSleftrightarrows]\leftrightarrows & \K[\MNSrcurvearrowne]\rcurvearrowne & \K[\MNSuparrow]\uparrow \\ \K[\MNSleftrsquigarrow]\leftrsquigarrow & \K[\MNSrcurvearrownw]\rcurvearrownw & \K[\MNSUparrow]\Uparrow \\ \K[\MNSlhookdownarrow]\lhookdownarrow & \K[\MNSrcurvearrowright]\rcurvearrowright & \K[\MNSuparrowtail]\uparrowtail \\ \K[\MNSlhookleftarrow]\lhookleftarrow & \K[\MNSrcurvearrowse]\rcurvearrowse & \K[\MNSupdownarrow]\updownarrow \\ \K[\MNSlhooknearrow]\lhooknearrow & \K[\MNSrcurvearrowsw]\rcurvearrowsw & \K[\MNSUpdownarrow]\Updownarrow \\ \K[\MNSlhooknwarrow]\lhooknwarrow & \K[\MNSrcurvearrowup]\rcurvearrowup & \K[\MNSupdownarrows]\updownarrows \\ \K[\MNSlhookrightarrow]\lhookrightarrow & \K[\MNSrhookdownarrow]\rhookdownarrow & \K[\MNSuplsquigarrow]\uplsquigarrow \\ \K[\MNSlhooksearrow]\lhooksearrow & \K[\MNSrhookleftarrow]\rhookleftarrow & \K[\MNSupmapsto]\upmapsto \\ \K[\MNSlhookswarrow]\lhookswarrow & \K[\MNSrhooknearrow]\rhooknearrow & \K[\MNSuprsquigarrow]\uprsquigarrow \\ \K[\MNSlhookuparrow]\lhookuparrow & \K[\MNSrhooknwarrow]\rhooknwarrow & \K[\MNSupuparrows]\upuparrows \\ \K[\MNSlightning]\lightning & \K[\MNSrhookrightarrow]\rhookrightarrow & \\ \K[\MNSLleftarrow]\Lleftarrow & \K[\MNSrhooksearrow]\rhooksearrow & \\ \end{longtable} \MNS\ additionally defines synonyms for some of the preceding symbols: \bigskip \newcommand*{\mnssyn}[1]{(same as \texttt{\string#1})} \begin{tabular}{ll@{\quad}l} \K[\MNSrcirclearrowup]\circlearrowleft & \mnssyn\rcirclearrowup \\ \K[\MNSlcirclearrowup]\circlearrowright & \mnssyn\lcirclearrowup \\ \K[\MNSrcurvearrowleft]\curvearrowleft & \mnssyn\rcurvearrowleft \\ \K[\MNSlcurvearrowright]\curvearrowright & \mnssyn\lcurvearrowright \\ \K[\MNSdashedleftarrow]\dashleftarrow & \mnssyn\dashedleftarrow \\ \K[\MNSdashedrightarrow]\dashrightarrow & \mnssyn\dashedrightarrow \\ \K[\MNSrhookleftarrow]\hookleftarrow & \mnssyn\rhookleftarrow \\ \K[\MNSlhookrightarrow]\hookrightarrow & \mnssyn\lhookrightarrow \\ \K[\MNSrightlsquigarrow]\leadsto & \mnssyn\rightlsquigarrow \\ \K[\MNSsquigarrowleftright]\leftrightsquigarrow & \mnssyn\squigarrowleftright \\ \K[\MNSrightmapsto]\mapsto & \mnssyn\rightmapsto \\ \K[\MNSrightlsquigarrow]\rightsquigarrow & \mnssyn\rightlsquigarrow \\ \end{tabular} \bigskip \begin{tablenote}[*] The \verb|\partialvar|\dots\verb|int| macros are intended to be used internally by \MNS\ to produce various types of integrals. \end{tablenote} \end{longsymtable} \begin{longsymtable}[MNS]{\MNS\ Negated Arrows} \index{arrows>negated} \label{mns-narrows} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\MNSncurvearrowdownup]\ncurvearrowdownup & \K[\MNSnlhooknwarrow]\nlhooknwarrow & \K[\MNSnrightleftarrows]\nrightleftarrows \\ \K[\MNSncurvearrowleftright]\ncurvearrowleftright & \K[\MNSnlhookrightarrow]\nlhookrightarrow & \K[\MNSnrightlsquigarrow]\nrightlsquigarrow \\ \K[\MNSncurvearrownesw]\ncurvearrownesw & \K[\MNSnlhooksearrow]\nlhooksearrow & \K[\MNSnrightmapsto]\nrightmapsto \\ \K[\MNSncurvearrownwse]\ncurvearrownwse & \K[\MNSnlhookswarrow]\nlhookswarrow & \K[\MNSnrightrightarrows]\nrightrightarrows \\ \K[\MNSncurvearrowrightleft]\ncurvearrowrightleft & \K[\MNSnlhookuparrow]\nlhookuparrow & \K[\MNSnrightrsquigarrow]\nrightrsquigarrow \\ \K[\MNSncurvearrowsenw]\ncurvearrowsenw & \K[\MNSnLleftarrow]\nLleftarrow & \K[\MNSnRrightarrow]\nRrightarrow \\ \K[\MNSncurvearrowswne]\ncurvearrowswne & \K[\MNSnnearrow]\nnearrow & \K[\MNSnSearrow]\nSearrow \\ \K[\MNSncurvearrowupdown]\ncurvearrowupdown & \K[\MNSnNearrow]\nNearrow & \K[\MNSnsearrow]\nsearrow \\ \K[\MNSndasheddownarrow]\ndasheddownarrow & \K[\MNSnnearrowtail]\nnearrowtail & \K[\MNSnsearrowtail]\nsearrowtail \\ \K[\MNSndashedleftarrow]\ndashedleftarrow & \K[\MNSnnelsquigarrow]\nnelsquigarrow & \K[\MNSnselsquigarrow]\nselsquigarrow \\ \K[\MNSndashednearrow]\ndashednearrow & \K[\MNSnnemapsto]\nnemapsto & \K[\MNSnsemapsto]\nsemapsto \\ \K[\MNSndashednwarrow]\ndashednwarrow & \K[\MNSnnenearrows]\nnenearrows & \K[\MNSnsenwarrows]\nsenwarrows \\ \K[\MNSndashedrightarrow]\ndashedrightarrow & \K[\MNSnnersquigarrow]\nnersquigarrow & \K[\MNSnsersquigarrow]\nsersquigarrow \\ \K[\MNSndashedsearrow]\ndashedsearrow & \K[\MNSnNeswarrow]\nNeswarrow & \K[\MNSnsesearrows]\nsesearrows \\ \K[\MNSndashedswarrow]\ndashedswarrow & \K[\MNSnneswarrow]\nneswarrow & \K[\MNSnsquigarrowdownup]\nsquigarrowdownup \\ \K[\MNSndasheduparrow]\ndasheduparrow & \K[\MNSnneswarrows]\nneswarrows & \K[\MNSnsquigarrowleftright]\nsquigarrowleftright \\ \K[\MNSndownarrow]\ndownarrow & \K[\MNSnNwarrow]\nNwarrow & \K[\MNSnsquigarrownesw]\nsquigarrownesw \\ \K[\MNSnDownarrow]\nDownarrow & \K[\MNSnnwarrow]\nnwarrow & \K[\MNSnsquigarrownwse]\nsquigarrownwse \\ \K[\MNSndownarrowtail]\ndownarrowtail & \K[\MNSnnwarrowtail]\nnwarrowtail & \K[\MNSnsquigarrowrightleft]\nsquigarrowrightleft \\ \K[\MNSndowndownarrows]\ndowndownarrows & \K[\MNSnnwlsquigarrow]\nnwlsquigarrow & \K[\MNSnsquigarrowsenw]\nsquigarrowsenw \\ \K[\MNSndownlsquigarrow]\ndownlsquigarrow & \K[\MNSnnwmapsto]\nnwmapsto & \K[\MNSnsquigarrowswne]\nsquigarrowswne \\ \K[\MNSndownmapsto]\ndownmapsto & \K[\MNSnnwnwarrows]\nnwnwarrows & \K[\MNSnsquigarrowupdown]\nsquigarrowupdown \\ \K[\MNSndownrsquigarrow]\ndownrsquigarrow & \K[\MNSnnwrsquigarrow]\nnwrsquigarrow & \K[\MNSnswarrow]\nswarrow \\ \K[\MNSndownuparrows]\ndownuparrows & \K[\MNSnnwsearrow]\nnwsearrow & \K[\MNSnSwarrow]\nSwarrow \\ \K[\MNSnlcirclearrowdown]\nlcirclearrowdown & \K[\MNSnNwsearrow]\nNwsearrow & \K[\MNSnswarrowtail]\nswarrowtail \\ \K[\MNSnlcirclearrowleft]\nlcirclearrowleft & \K[\MNSnnwsearrows]\nnwsearrows & \K[\MNSnswlsquigarrow]\nswlsquigarrow \\ \K[\MNSnlcirclearrowright]\nlcirclearrowright & \K[\MNSnrcirclearrowdown]\nrcirclearrowdown & \K[\MNSnswmapsto]\nswmapsto \\ \K[\MNSnlcirclearrowup]\nlcirclearrowup & \K[\MNSnrcirclearrowleft]\nrcirclearrowleft & \K[\MNSnswnearrows]\nswnearrows \\ \K[\MNSnlcurvearrowdown]\nlcurvearrowdown & \K[\MNSnrcirclearrowright]\nrcirclearrowright & \K[\MNSnswrsquigarrow]\nswrsquigarrow \\ \K[\MNSnlcurvearrowleft]\nlcurvearrowleft & \K[\MNSnrcirclearrowup]\nrcirclearrowup & \K[\MNSnswswarrows]\nswswarrows \\ \K[\MNSnlcurvearrowne]\nlcurvearrowne & \K[\MNSnrcurvearrowdown]\nrcurvearrowdown & \K[\MNSntwoheaddownarrow]\ntwoheaddownarrow \\ \K[\MNSnlcurvearrownw]\nlcurvearrownw & \K[\MNSnrcurvearrowleft]\nrcurvearrowleft & \K[\MNSntwoheadleftarrow]\ntwoheadleftarrow \\ \K[\MNSnlcurvearrowright]\nlcurvearrowright & \K[\MNSnrcurvearrowne]\nrcurvearrowne & \K[\MNSntwoheadnearrow]\ntwoheadnearrow \\ \K[\MNSnlcurvearrowse]\nlcurvearrowse & \K[\MNSnrcurvearrownw]\nrcurvearrownw & \K[\MNSntwoheadnwarrow]\ntwoheadnwarrow \\ \K[\MNSnlcurvearrowsw]\nlcurvearrowsw & \K[\MNSnrcurvearrowright]\nrcurvearrowright & \K[\MNSntwoheadrightarrow]\ntwoheadrightarrow \\ \K[\MNSnlcurvearrowup]\nlcurvearrowup & \K[\MNSnrcurvearrowse]\nrcurvearrowse & \K[\MNSntwoheadsearrow]\ntwoheadsearrow \\ \K[\MNSnLeftarrow]\nLeftarrow & \K[\MNSnrcurvearrowsw]\nrcurvearrowsw & \K[\MNSntwoheadswarrow]\ntwoheadswarrow \\ \K[\MNSnleftarrow]\nleftarrow & \K[\MNSnrcurvearrowup]\nrcurvearrowup & \K[\MNSntwoheaduparrow]\ntwoheaduparrow \\ \K[\MNSnleftarrowtail]\nleftarrowtail & \K[\MNSnrhookdownarrow]\nrhookdownarrow & \K[\MNSnuparrow]\nuparrow \\ \K[\MNSnleftleftarrows]\nleftleftarrows & \K[\MNSnrhookleftarrow]\nrhookleftarrow & \K[\MNSnUparrow]\nUparrow \\ \K[\MNSnleftlsquigarrow]\nleftlsquigarrow & \K[\MNSnrhooknearrow]\nrhooknearrow & \K[\MNSnuparrowtail]\nuparrowtail \\ \K[\MNSnleftmapsto]\nleftmapsto & \K[\MNSnrhooknwarrow]\nrhooknwarrow & \K[\MNSnupdownarrow]\nupdownarrow \\ \K[\MNSnleftrightarrow]\nleftrightarrow & \K[\MNSnrhookrightarrow]\nrhookrightarrow & \K[\MNSnUpdownarrow]\nUpdownarrow \\ \K[\MNSnLeftrightarrow]\nLeftrightarrow & \K[\MNSnrhooksearrow]\nrhooksearrow & \K[\MNSnupdownarrows]\nupdownarrows \\ \K[\MNSnleftrightarrows]\nleftrightarrows & \K[\MNSnrhookswarrow]\nrhookswarrow & \K[\MNSnuplsquigarrow]\nuplsquigarrow \\ \K[\MNSnleftrsquigarrow]\nleftrsquigarrow & \K[\MNSnrhookuparrow]\nrhookuparrow & \K[\MNSnupmapsto]\nupmapsto \\ \K[\MNSnlhookdownarrow]\nlhookdownarrow & \K[\MNSnrightarrow]\nrightarrow & \K[\MNSnuprsquigarrow]\nuprsquigarrow \\ \K[\MNSnlhookleftarrow]\nlhookleftarrow & \K[\MNSnRightarrow]\nRightarrow & \K[\MNSnupuparrows]\nupuparrows \\ \K[\MNSnlhooknearrow]\nlhooknearrow & \K[\MNSnrightarrowtail]\nrightarrowtail & \\ \end{longtable} \MNS\ additionally defines synonyms for some of the preceding symbols: \bigskip \newcommand*{\mnssyn}[1]{(same as \texttt{\string#1})} \begin{tabular}{ll@{\quad}l} \K[\MNSnrcirclearrowup]\ncirclearrowleft & \mnssyn\nrcirclearrowup \\ \K[\MNSnlcirclearrowup]\ncirclearrowright & \mnssyn\nlcirclearrowup \\ \K[\MNSnrcurvearrowleft]\ncurvearrowleft & \mnssyn\nrcurvearrowleft \\ \K[\MNSnlcurvearrowright]\ncurvearrowright & \mnssyn\nlcurvearrowright \\ \K[\MNSndashedrightarrow]\ndasharrow & \mnssyn\ndashedrightarrow \\ \K[\MNSndashedleftarrow]\ndashleftarrow & \mnssyn\ndashedleftarrow \\ \K[\MNSndashedrightarrow]\ndashrightarrow & \mnssyn\ndashedrightarrow \\ \K[\MNSnleftarrow]\ngets & \mnssyn\nleftarrow \\ \K[\MNSnrhookleftarrow]\nhookleftarrow & \mnssyn\nrhookleftarrow \\ \K[\MNSnlhookrightarrow]\nhookrightarrow & \mnssyn\nlhookrightarrow \\ \K[\MNSnrightlsquigarrow]\nleadsto & \mnssyn\nrightlsquigarrow \\ \K[\MNSnsquigarrowleftright]\nleftrightsquigarrow & \mnssyn\nsquigarrowleftright \\ \K[\MNSnrightmapsto]\nmapsto & \mnssyn\nrightmapsto \\ \K[\MNSnrightlsquigarrow]\nrightsquigarrow & \mnssyn\nrightlsquigarrow \\ \K[\MNSnrightarrow]\nto & \mnssyn\nrightarrow \\ \end{tabular} \end{longsymtable} \begin{symtable}[MNS]{\MNS\ Harpoons} \index{harpoons} \index{restrictions} \label{mns-harpoons} \begin{tabular}{*3{ll}} \K[\MNSdownharpoonccw]\downharpoonccw$^*$ & \K[\MNSneswharpoons]\neswharpoons & \K[\MNSseharpooncw]\seharpooncw \\ \K[\MNSdownharpooncw]\downharpooncw$^*$ & \K[\MNSneswharpoonsenw]\neswharpoonsenw & \K[\MNSsenwharpoons]\senwharpoons \\ \K[\MNSdownupharpoons]\downupharpoons & \K[\MNSnwharpoonccw]\nwharpoonccw & \K[\MNSswharpoonccw]\swharpoonccw \\ \K[\MNSleftharpoonccw]\leftharpoonccw$^*$ & \K[\MNSnwharpooncw]\nwharpooncw & \K[\MNSswharpooncw]\swharpooncw \\ \K[\MNSleftharpooncw]\leftharpooncw$^*$ & \K[\MNSnwseharpoonnesw]\nwseharpoonnesw & \K[\MNSswneharpoons]\swneharpoons \\ \K[\MNSleftrightharpoondownup]\leftrightharpoondownup & \K[\MNSnwseharpoons]\nwseharpoons & \K[\MNSupdownharpoonleftright]\updownharpoonleftright \\ \K[\MNSleftrightharpoons]\leftrightharpoons & \K[\MNSnwseharpoonswne]\nwseharpoonswne & \K[\MNSupdownharpoonrightleft]\updownharpoonrightleft \\ \K[\MNSleftrightharpoonupdown]\leftrightharpoonupdown & \K[\MNSrightharpoonccw]\rightharpoonccw$^*$ & \K[\MNSupdownharpoons]\updownharpoons \\ \K[\MNSneharpoonccw]\neharpoonccw & \K[\MNSrightharpooncw]\rightharpooncw$^*$ & \K[\MNSupharpoonccw]\upharpoonccw$^*$ \\ \K[\MNSneharpooncw]\neharpooncw & \K[\MNSrightleftharpoons]\rightleftharpoons & \K[\MNSupharpooncw]\upharpooncw$^*$ \\ \K[\MNSneswharpoonnwse]\neswharpoonnwse & \K[\MNSseharpoonccw]\seharpoonccw & \\ \end{tabular} \bigskip \begin{tablenote}[*] Where marked, the ``\verb|ccw|'' suffix can be replaced with ``\verb|up|'' and the ``\verb|cw|'' suffix can be replaced with ``\verb|down|''. (In addition, \cmdI[\MNSupharpooncw]{\upharpooncw} can be written as \cmdI[\MNSupharpooncw]{\restriction}.) \end{tablenote} \end{symtable} \begin{symtable}[MNS]{\MNS\ Negated Harpoons} \index{harpoons} \index{restrictions} \label{mns-nharpoons} \begin{tabular}{*3{ll}} \K[\MNSndownharpoonccw]\ndownharpoonccw$^*$ & \K[\MNSnneswharpoons]\nneswharpoons & \K[\MNSnseharpooncw]\nseharpooncw \\ \K[\MNSndownharpooncw]\ndownharpooncw$^*$ & \K[\MNSnneswharpoonsenw]\nneswharpoonsenw & \K[\MNSnsenwharpoons]\nsenwharpoons \\ \K[\MNSndownupharpoons]\ndownupharpoons & \K[\MNSnnwharpoonccw]\nnwharpoonccw & \K[\MNSnswharpoonccw]\nswharpoonccw \\ \K[\MNSnleftharpoonccw]\nleftharpoonccw$^*$ & \K[\MNSnnwharpooncw]\nnwharpooncw & \K[\MNSnswharpooncw]\nswharpooncw \\ \K[\MNSnleftharpooncw]\nleftharpooncw$^*$ & \K[\MNSnnwseharpoonnesw]\nnwseharpoonnesw & \K[\MNSnswneharpoons]\nswneharpoons \\ \K[\MNSnleftrightharpoondownup]\nleftrightharpoondownup & \K[\MNSnnwseharpoons]\nnwseharpoons & \K[\MNSnupdownharpoonleftright]\nupdownharpoonleftright \\ \K[\MNSnleftrightharpoons]\nleftrightharpoons & \K[\MNSnnwseharpoonswne]\nnwseharpoonswne & \K[\MNSnupdownharpoonrightleft]\nupdownharpoonrightleft \\ \K[\MNSnleftrightharpoonupdown]\nleftrightharpoonupdown & \K[\MNSnrightharpoonccw]\nrightharpoonccw$^*$ & \K[\MNSnupdownharpoons]\nupdownharpoons \\ \K[\MNSnneharpoonccw]\nneharpoonccw & \K[\MNSnrightharpooncw]\nrightharpooncw$^*$ & \K[\MNSnupharpoonccw]\nupharpoonccw$^*$ \\ \K[\MNSnneharpooncw]\nneharpooncw & \K[\MNSnrightleftharpoons]\nrightleftharpoons & \K[\MNSnupharpooncw]\nupharpooncw$^*$ \\ \K[\MNSnneswharpoonnwse]\nneswharpoonnwse & \K[\MNSnseharpoonccw]\nseharpoonccw & \\ \end{tabular} \bigskip \begin{tablenote}[*] Where marked, the ``\verb|ccw|'' suffix can be replaced with ``\verb|up|'' and the ``\verb|cw|'' suffix can be replaced with ``\verb|down|''. (In addition, \cmdI[\MNSnupharpooncw]{\nupharpooncw} can be written as \cmdI[\MNSnupharpooncw]{\nrestriction}.) \end{tablenote} \end{symtable} \begin{longsymtable}[FDSYM]{\FDSYM\ Arrows} \index{arrows} \label{fdsym-arrows} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMacwcirclearrowdown]\acwcirclearrowdown & \K[\FDSYMleftarrow]\leftarrow & \K[\FDSYMrightrightarrows]\rightrightarrows \\ \K[\FDSYMacwcirclearrowleft]\acwcirclearrowleft & \K[\FDSYMleftarrowtail]\leftarrowtail & \K[\FDSYMrightwavearrow]\rightwavearrow \\ \K[\FDSYMacwcirclearrowright]\acwcirclearrowright & \K[\FDSYMleftbkarrow]\leftbkarrow & \K[\FDSYMRrightarrow]\Rrightarrow \\ \K[\FDSYMacwcirclearrowup]\acwcirclearrowup & \K[\FDSYMleftleftarrows]\leftleftarrows & \K[\FDSYMRsh]\Rsh \\ \K[\FDSYMacwleftarcarrow]\acwleftarcarrow & \K[\FDSYMleftmapsto]\leftmapsto & \K[\FDSYMsearrow]\searrow \\ \K[\FDSYMacwnearcarrow]\acwnearcarrow & \K[\FDSYMLeftmapsto]\Leftmapsto & \K[\FDSYMSearrow]\Searrow \\ \K[\FDSYMacwnwarcarrow]\acwnwarcarrow & \K[\FDSYMLeftrightarrow]\Leftrightarrow & \K[\FDSYMsearrowtail]\searrowtail \\ \K[\FDSYMacwoverarcarrow]\acwoverarcarrow & \K[\FDSYMleftrightarrow]\leftrightarrow & \K[\FDSYMsebkarrow]\sebkarrow \\ \K[\FDSYMacwrightarcarrow]\acwrightarcarrow & \K[\FDSYMleftrightarrows]\leftrightarrows & \K[\FDSYMsenwarrows]\senwarrows \\ \K[\FDSYMacwsearcarrow]\acwsearcarrow & \K[\FDSYMleftrightwavearrow]\leftrightwavearrow & \K[\FDSYMsesearrows]\sesearrows \\ \K[\FDSYMacwswarcarrow]\acwswarcarrow & \K[\FDSYMleftwavearrow]\leftwavearrow & \K[\FDSYMSwarrow]\Swarrow \\ \K[\FDSYMacwunderarcarrow]\acwunderarcarrow & \K[\FDSYMlightning]\lightning & \K[\FDSYMswarrow]\swarrow \\ \K[\FDSYMbdleftarcarrow]\bdleftarcarrow & \K[\FDSYMLleftarrow]\Lleftarrow & \K[\FDSYMswarrowtail]\swarrowtail \\ \K[\FDSYMbdnearcarrow]\bdnearcarrow & \K[\FDSYMLongleftarrow]\Longleftarrow & \K[\FDSYMswbkarrow]\swbkarrow \\ \K[\FDSYMbdnwarcarrow]\bdnwarcarrow & \K[\FDSYMlongleftarrow]\longleftarrow & \K[\FDSYMswnearrows]\swnearrows \\ \K[\FDSYMbdoverarcarrow]\bdoverarcarrow & \K[\FDSYMlongleftrightarrow]\longleftrightarrow & \K[\FDSYMswswarrows]\swswarrows \\ \K[\FDSYMbdrightarcarrow]\bdrightarcarrow & \K[\FDSYMLongleftrightarrow]\Longleftrightarrow & \K[\FDSYMtwoheaddownarrow]\twoheaddownarrow \\ \K[\FDSYMbdsearcarrow]\bdsearcarrow & \K[\FDSYMlongleftwavearrow]\longleftwavearrow & \K[\FDSYMtwoheadleftarrow]\twoheadleftarrow \\ \K[\FDSYMbdswarcarrow]\bdswarcarrow & \K[\FDSYMLongmapsfrom]\Longmapsfrom & \K[\FDSYMtwoheadnearrow]\twoheadnearrow \\ \K[\FDSYMbdunderarcarrow]\bdunderarcarrow & \K[\FDSYMlongmapsfrom]\longmapsfrom & \K[\FDSYMtwoheadnwarrow]\twoheadnwarrow \\ \K[\FDSYMcwcirclearrowdown]\cwcirclearrowdown & \K[\FDSYMLongmapsto]\Longmapsto & \K[\FDSYMtwoheadrightarrow]\twoheadrightarrow \\ \K[\FDSYMcwcirclearrowleft]\cwcirclearrowleft & \K[\FDSYMlongmapsto]\longmapsto & \K[\FDSYMtwoheadsearrow]\twoheadsearrow \\ \K[\FDSYMcwcirclearrowright]\cwcirclearrowright & \K[\FDSYMlongrightarrow]\longrightarrow & \K[\FDSYMtwoheadswarrow]\twoheadswarrow \\ \K[\FDSYMcwcirclearrowup]\cwcirclearrowup & \K[\FDSYMLongrightarrow]\Longrightarrow & \K[\FDSYMtwoheaduparrow]\twoheaduparrow \\ \K[\FDSYMcwleftarcarrow]\cwleftarcarrow & \K[\FDSYMlongrightwavearrow]\longrightwavearrow & \K[\FDSYMuparrow]\uparrow \\ \K[\FDSYMcwnearcarrow]\cwnearcarrow & \K[\FDSYMlooparrowleft]\looparrowleft & \K[\FDSYMUparrow]\Uparrow \\ \K[\FDSYMcwnwarcarrow]\cwnwarcarrow & \K[\FDSYMlooparrowright]\looparrowright & \K[\FDSYMuparrowtail]\uparrowtail \\ \K[\FDSYMcwoverarcarrow]\cwoverarcarrow & \K[\FDSYMLsh]\Lsh & \K[\FDSYMupbkarrow]\upbkarrow \\ \K[\FDSYMcwrightarcarrow]\cwrightarcarrow & \K[\FDSYMnearrow]\nearrow & \K[\FDSYMUpdownarrow]\Updownarrow \\ \K[\FDSYMcwsearcarrow]\cwsearcarrow & \K[\FDSYMNearrow]\Nearrow & \K[\FDSYMupdownarrow]\updownarrow \\ \K[\FDSYMcwswarcarrow]\cwswarcarrow & \K[\FDSYMnearrowtail]\nearrowtail & \K[\FDSYMupdownarrows]\updownarrows \\ \K[\FDSYMcwunderarcarrow]\cwunderarcarrow & \K[\FDSYMnebkarrow]\nebkarrow & \K[\FDSYMupdownwavearrow]\updownwavearrow \\ \K[\FDSYMDdownarrow]\Ddownarrow & \K[\FDSYMnenearrows]\nenearrows & \K[\FDSYMupmapsto]\upmapsto \\ \K[\FDSYMDownarrow]\Downarrow & \K[\FDSYMNeswarrow]\Neswarrow & \K[\FDSYMUpmapsto]\Upmapsto \\ \K[\FDSYMdownarrow]\downarrow & \K[\FDSYMneswarrow]\neswarrow & \K[\FDSYMupuparrows]\upuparrows \\ \K[\FDSYMdownarrowtail]\downarrowtail & \K[\FDSYMneswarrows]\neswarrows & \K[\FDSYMupwavearrow]\upwavearrow \\ \K[\FDSYMdownbkarrow]\downbkarrow & \K[\FDSYMNwarrow]\Nwarrow & \K[\FDSYMUuparrow]\Uuparrow \\ \K[\FDSYMdowndownarrows]\downdownarrows & \K[\FDSYMnwarrow]\nwarrow & \K[\FDSYMvardownwavearrow]\vardownwavearrow \\ \K[\FDSYMDownmapsto]\Downmapsto & \K[\FDSYMnwarrowtail]\nwarrowtail & \K[\FDSYMvarhookdownarrow]\varhookdownarrow \\ \K[\FDSYMdownmapsto]\downmapsto & \K[\FDSYMnwbkarrow]\nwbkarrow & \K[\FDSYMvarhookleftarrow]\varhookleftarrow \\ \K[\FDSYMdownuparrows]\downuparrows & \K[\FDSYMnwnwarrows]\nwnwarrows & \K[\FDSYMvarhooknearrow]\varhooknearrow \\ \K[\FDSYMdownwavearrow]\downwavearrow & \K[\FDSYMNwsearrow]\Nwsearrow & \K[\FDSYMvarhooknwarrow]\varhooknwarrow \\ \K[\FDSYMhookdownarrow]\hookdownarrow & \K[\FDSYMnwsearrow]\nwsearrow & \K[\FDSYMvarhookrightarrow]\varhookrightarrow \\ \K[\FDSYMhookleftarrow]\hookleftarrow & \K[\FDSYMnwsearrows]\nwsearrows & \K[\FDSYMvarhooksearrow]\varhooksearrow \\ \K[\FDSYMhooknearrow]\hooknearrow & \K[\FDSYMRdsh]\Rdsh & \K[\FDSYMvarhookswarrow]\varhookswarrow \\ \K[\FDSYMhooknwarrow]\hooknwarrow & \K[\FDSYMRightarrow]\Rightarrow & \K[\FDSYMvarhookuparrow]\varhookuparrow \\ \K[\FDSYMhookrightarrow]\hookrightarrow & \K[\FDSYMrightarrow]\rightarrow & \K[\FDSYMvarleftrightwavearrow]\varleftrightwavearrow \\ \K[\FDSYMhooksearrow]\hooksearrow & \K[\FDSYMrightarrowtail]\rightarrowtail & \K[\FDSYMvarleftwavearrow]\varleftwavearrow \\ \K[\FDSYMhookswarrow]\hookswarrow & \K[\FDSYMrightbkarrow]\rightbkarrow & \K[\FDSYMvarrightwavearrow]\varrightwavearrow \\ \K[\FDSYMhookuparrow]\hookuparrow & \K[\FDSYMrightleftarrows]\rightleftarrows & \K[\FDSYMvarupdownwavearrow]\varupdownwavearrow \\ \K[\FDSYMLdsh]\Ldsh & \K[\FDSYMRightmapsto]\Rightmapsto & \K[\FDSYMvarupwavearrow]\varupwavearrow \\ \K[\FDSYMLeftarrow]\Leftarrow & \K[\FDSYMrightmapsto]\rightmapsto & \\ \end{longtable} \FDSYM\ defines synonyms for most of the preceding symbols: \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMacwgapcirclearrow]{\acwgapcirclearrow} & \K[\FDSYMleftrightsquigarrow]{\leftrightsquigarrow} & \K[\FDSYMrhooknwarrow]{\rhooknwarrow} \\ \K[\FDSYMacwopencirclearrow]{\acwopencirclearrow} & \K[\FDSYMleftrsquigarrow]{\leftrsquigarrow} & \K[\FDSYMrhookrightarrow]{\rhookrightarrow} \\ \K[\FDSYMcirclearrowleft]{\circlearrowleft} & \K[\FDSYMleftsquigarrow]{\leftsquigarrow} & \K[\FDSYMrhooksearrow]{\rhooksearrow} \\ \K[\FDSYMcirclearrowright]{\circlearrowright} & \K[\FDSYMleftupcurvedarrow]{\leftupcurvedarrow} & \K[\FDSYMrhookswarrow]{\rhookswarrow} \\ \K[\FDSYMcurvearrowleft]{\curvearrowleft} & \K[\FDSYMlhookdownarrow]{\lhookdownarrow} & \K[\FDSYMrhookuparrow]{\rhookuparrow} \\ \K[\FDSYMcurvearrowright]{\curvearrowright} & \K[\FDSYMlhookleftarrow]{\lhookleftarrow} & \K[\FDSYMrightcurvedarrow]{\rightcurvedarrow} \\ \K[\FDSYMcwgapcirclearrow]{\cwgapcirclearrow} & \K[\FDSYMlhooknearrow]{\lhooknearrow} & \K[\FDSYMrightdowncurvedarrow]{\rightdowncurvedarrow} \\ \K[\FDSYMcwopencirclearrow]{\cwopencirclearrow} & \K[\FDSYMlhooknwarrow]{\lhooknwarrow} & \K[\FDSYMrightlcurvearrow]{\rightlcurvearrow} \\ \K[\FDSYMdasharrow]{\dasharrow} & \K[\FDSYMlhookrightarrow]{\lhookrightarrow} & \K[\FDSYMrightleftcurvearrow]{\rightleftcurvearrow} \\ \K[\FDSYMdashleftarrow]{\dashleftarrow} & \K[\FDSYMlhooksearrow]{\lhooksearrow} & \K[\FDSYMrightleftsquigarrow]{\rightleftsquigarrow} \\ \K[\FDSYMdashrightarrow]{\dashrightarrow} & \K[\FDSYMlhookswarrow]{\lhookswarrow} & \K[\FDSYMrightlsquigarrow]{\rightlsquigarrow} \\ \K[\FDSYMdownlcurvearrow]{\downlcurvearrow} & \K[\FDSYMlhookuparrow]{\lhookuparrow} & \K[\FDSYMrightrcurvearrow]{\rightrcurvearrow} \\ \K[\FDSYMdownleftcurvedarrow]{\downleftcurvedarrow} & \K[\FDSYMlongleadsto]{\longleadsto} & \K[\FDSYMrightrsquigarrow]{\rightrsquigarrow} \\ \K[\FDSYMdownlsquigarrow]{\downlsquigarrow} & \K[\FDSYMlongleftsquigarrow]{\longleftsquigarrow} & \K[\FDSYMrightsquigarrow]{\rightsquigarrow} \\ \K[\FDSYMdownrcurvearrow]{\downrcurvearrow} & \K[\FDSYMlongrightsquigarrow]{\longrightsquigarrow} & \K[\FDSYMrightupcurvedarrow]{\rightupcurvedarrow} \\ \K[\FDSYMdownrightcurvedarrow]{\downrightcurvedarrow} & \K[\FDSYMmapsdown]{\mapsdown} & \K[\FDSYMselcurvearrow]{\selcurvearrow} \\ \K[\FDSYMdownrsquigarrow]{\downrsquigarrow} & \K[\FDSYMMapsdown]{\Mapsdown} & \K[\FDSYMsenwcurvearrow]{\senwcurvearrow} \\ \K[\FDSYMdownupcurvearrow]{\downupcurvearrow} & \K[\FDSYMmapsfrom]{\mapsfrom} & \K[\FDSYMsercurvearrow]{\sercurvearrow} \\ \K[\FDSYMdownupsquigarrow]{\downupsquigarrow} & \K[\FDSYMMapsfrom]{\Mapsfrom} & \K[\FDSYMswlcurvearrow]{\swlcurvearrow} \\ \K[\FDSYMdownzigzagarrow]{\downzigzagarrow} & \K[\FDSYMmapsto]{\mapsto} & \K[\FDSYMswnecurvearrow]{\swnecurvearrow} \\ \K[\FDSYMgets]{\gets} & \K[\FDSYMMapsto]{\Mapsto} & \K[\FDSYMswrcurvearrow]{\swrcurvearrow} \\ \K[\FDSYMhknearrow]{\hknearrow} & \K[\FDSYMmapsup]{\mapsup} & \K[\FDSYMto]{\to} \\ \K[\FDSYMhknwarrow]{\hknwarrow} & \K[\FDSYMMapsup]{\Mapsup} & \K[\FDSYMupdowncurvearrow]{\updowncurvearrow} \\ \K[\FDSYMhksearrow]{\hksearrow} & \K[\FDSYMnelcurvearrow]{\nelcurvearrow} & \K[\FDSYMupdownsquigarrow]{\updownsquigarrow} \\ \K[\FDSYMhkswarrow]{\hkswarrow} & \K[\FDSYMnercurvearrow]{\nercurvearrow} & \K[\FDSYMuplcurvearrow]{\uplcurvearrow} \\ \K[\FDSYMleadsto]{\leadsto} & \K[\FDSYMneswcurvearrow]{\neswcurvearrow} & \K[\FDSYMupleftcurvedarrow]{\upleftcurvedarrow} \\ \K[\FDSYMleftcurvedarrow]{\leftcurvedarrow} & \K[\FDSYMnwlcurvearrow]{\nwlcurvearrow} & \K[\FDSYMuplsquigarrow]{\uplsquigarrow} \\ \K[\FDSYMleftdowncurvedarrow]{\leftdowncurvedarrow} & \K[\FDSYMnwrcurvearrow]{\nwrcurvearrow} & \K[\FDSYMuprcurvearrow]{\uprcurvearrow} \\ \K[\FDSYMleftlcurvearrow]{\leftlcurvearrow} & \K[\FDSYMnwsecurvearrow]{\nwsecurvearrow} & \K[\FDSYMuprightcurvearrow]{\uprightcurvearrow} \\ \K[\FDSYMleftlsquigarrow]{\leftlsquigarrow} & \K[\FDSYMrhookdownarrow]{\rhookdownarrow} & \K[\FDSYMuprsquigarrow]{\uprsquigarrow} \\ \K[\FDSYMleftrcurvearrow]{\leftrcurvearrow} & \K[\FDSYMrhookleftarrow]{\rhookleftarrow} & \\ \K[\FDSYMleftrightcurvearrow]{\leftrightcurvearrow} & \K[\FDSYMrhooknearrow]{\rhooknearrow} & \\ \end{longtable} \end{longsymtable} \begin{longsymtable}[FDSYM]{\FDSYM\ Negated Arrows} \index{arrows>negated} \label{fdsym-narrows} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMnacwcirclearrowdown]\nacwcirclearrowdown & \K[\FDSYMnleftarrow]\nleftarrow & \K[\FDSYMnRrightarrow]\nRrightarrow \\ \K[\FDSYMnacwcirclearrowleft]\nacwcirclearrowleft & \K[\FDSYMnLeftarrow]\nLeftarrow & \K[\FDSYMnsearrow]\nsearrow \\ \K[\FDSYMnacwcirclearrowright]\nacwcirclearrowright & \K[\FDSYMnleftarrowtail]\nleftarrowtail & \K[\FDSYMnSearrow]\nSearrow \\ \K[\FDSYMnacwcirclearrowup]\nacwcirclearrowup & \K[\FDSYMnleftbkarrow]\nleftbkarrow & \K[\FDSYMnsearrowtail]\nsearrowtail \\ \K[\FDSYMnacwleftarcarrow]\nacwleftarcarrow & \K[\FDSYMnleftleftarrows]\nleftleftarrows & \K[\FDSYMnsebkarrow]\nsebkarrow \\ \K[\FDSYMnacwnearcarrow]\nacwnearcarrow & \K[\FDSYMnleftmapsto]\nleftmapsto & \K[\FDSYMnsenwarrows]\nsenwarrows \\ \K[\FDSYMnacwnwarcarrow]\nacwnwarcarrow & \K[\FDSYMnLeftmapsto]\nLeftmapsto & \K[\FDSYMnsesearrows]\nsesearrows \\ \K[\FDSYMnacwoverarcarrow]\nacwoverarcarrow & \K[\FDSYMnleftrightarrow]\nleftrightarrow & \K[\FDSYMnswarrow]\nswarrow \\ \K[\FDSYMnacwrightarcarrow]\nacwrightarcarrow & \K[\FDSYMnLeftrightarrow]\nLeftrightarrow & \K[\FDSYMnSwarrow]\nSwarrow \\ \K[\FDSYMnacwsearcarrow]\nacwsearcarrow & \K[\FDSYMnleftrightarrows]\nleftrightarrows & \K[\FDSYMnswarrowtail]\nswarrowtail \\ \K[\FDSYMnacwswarcarrow]\nacwswarcarrow & \K[\FDSYMnleftrightwavearrow]\nleftrightwavearrow & \K[\FDSYMnswbkarrow]\nswbkarrow \\ \K[\FDSYMnacwunderarcarrow]\nacwunderarcarrow & \K[\FDSYMnleftwavearrow]\nleftwavearrow & \K[\FDSYMnswnearrows]\nswnearrows \\ \K[\FDSYMnbdleftarcarrow]\nbdleftarcarrow & \K[\FDSYMnLleftarrow]\nLleftarrow & \K[\FDSYMnswswarrows]\nswswarrows \\ \K[\FDSYMnbdnearcarrow]\nbdnearcarrow & \K[\FDSYMnlongleftarrow]\nlongleftarrow & \K[\FDSYMntwoheaddownarrow]\ntwoheaddownarrow \\ \K[\FDSYMnbdnwarcarrow]\nbdnwarcarrow & \K[\FDSYMnLongleftarrow]\nLongleftarrow & \K[\FDSYMntwoheadleftarrow]\ntwoheadleftarrow \\ \K[\FDSYMnbdoverarcarrow]\nbdoverarcarrow & \K[\FDSYMnlongleftrightarrow]\nlongleftrightarrow & \K[\FDSYMntwoheadnearrow]\ntwoheadnearrow \\ \K[\FDSYMnbdrightarcarrow]\nbdrightarcarrow & \K[\FDSYMnLongleftrightarrow]\nLongleftrightarrow & \K[\FDSYMntwoheadnwarrow]\ntwoheadnwarrow \\ \K[\FDSYMnbdsearcarrow]\nbdsearcarrow & \K[\FDSYMnlongleftwavearrow]\nlongleftwavearrow & \K[\FDSYMntwoheadrightarrow]\ntwoheadrightarrow \\ \K[\FDSYMnbdswarcarrow]\nbdswarcarrow & \K[\FDSYMnlongmapsfrom]\nlongmapsfrom & \K[\FDSYMntwoheadsearrow]\ntwoheadsearrow \\ \K[\FDSYMnbdunderarcarrow]\nbdunderarcarrow & \K[\FDSYMnLongmapsfrom]\nLongmapsfrom & \K[\FDSYMntwoheadswarrow]\ntwoheadswarrow \\ \K[\FDSYMncwcirclearrowdown]\ncwcirclearrowdown & \K[\FDSYMnlongmapsto]\nlongmapsto & \K[\FDSYMntwoheaduparrow]\ntwoheaduparrow \\ \K[\FDSYMncwcirclearrowleft]\ncwcirclearrowleft & \K[\FDSYMnLongmapsto]\nLongmapsto & \K[\FDSYMnuparrow]\nuparrow \\ \K[\FDSYMncwcirclearrowright]\ncwcirclearrowright & \K[\FDSYMnlongrightarrow]\nlongrightarrow & \K[\FDSYMnUparrow]\nUparrow \\ \K[\FDSYMncwcirclearrowup]\ncwcirclearrowup & \K[\FDSYMnLongrightarrow]\nLongrightarrow & \K[\FDSYMnuparrowtail]\nuparrowtail \\ \K[\FDSYMncwleftarcarrow]\ncwleftarcarrow & \K[\FDSYMnlongrightwavearrow]\nlongrightwavearrow & \K[\FDSYMnupbkarrow]\nupbkarrow \\ \K[\FDSYMncwnearcarrow]\ncwnearcarrow & \K[\FDSYMnnearrow]\nnearrow & \K[\FDSYMnupdownarrow]\nupdownarrow \\ \K[\FDSYMncwnwarcarrow]\ncwnwarcarrow & \K[\FDSYMnNearrow]\nNearrow & \K[\FDSYMnUpdownarrow]\nUpdownarrow \\ \K[\FDSYMncwoverarcarrow]\ncwoverarcarrow & \K[\FDSYMnnearrowtail]\nnearrowtail & \K[\FDSYMnupdownarrows]\nupdownarrows \\ \K[\FDSYMncwrightarcarrow]\ncwrightarcarrow & \K[\FDSYMnnebkarrow]\nnebkarrow & \K[\FDSYMnupdownwavearrow]\nupdownwavearrow \\ \K[\FDSYMncwsearcarrow]\ncwsearcarrow & \K[\FDSYMnnenearrows]\nnenearrows & \K[\FDSYMnupmapsto]\nupmapsto \\ \K[\FDSYMncwswarcarrow]\ncwswarcarrow & \K[\FDSYMnneswarrow]\nneswarrow & \K[\FDSYMnUpmapsto]\nUpmapsto \\ \K[\FDSYMncwunderarcarrow]\ncwunderarcarrow & \K[\FDSYMnNeswarrow]\nNeswarrow & \K[\FDSYMnupuparrows]\nupuparrows \\ \K[\FDSYMnDdownarrow]\nDdownarrow & \K[\FDSYMnneswarrows]\nneswarrows & \K[\FDSYMnupwavearrow]\nupwavearrow \\ \K[\FDSYMndownarrow]\ndownarrow & \K[\FDSYMnnwarrow]\nnwarrow & \K[\FDSYMnUuparrow]\nUuparrow \\ \K[\FDSYMnDownarrow]\nDownarrow & \K[\FDSYMnNwarrow]\nNwarrow & \K[\FDSYMnvardownwavearrow]\nvardownwavearrow \\ \K[\FDSYMndownarrowtail]\ndownarrowtail & \K[\FDSYMnnwarrowtail]\nnwarrowtail & \K[\FDSYMnvarhookdownarrow]\nvarhookdownarrow \\ \K[\FDSYMndownbkarrow]\ndownbkarrow & \K[\FDSYMnnwbkarrow]\nnwbkarrow & \K[\FDSYMnvarhookleftarrow]\nvarhookleftarrow \\ \K[\FDSYMndowndownarrows]\ndowndownarrows & \K[\FDSYMnnwnwarrows]\nnwnwarrows & \K[\FDSYMnvarhooknearrow]\nvarhooknearrow \\ \K[\FDSYMndownmapsto]\ndownmapsto & \K[\FDSYMnnwsearrow]\nnwsearrow & \K[\FDSYMnvarhooknwarrow]\nvarhooknwarrow \\ \K[\FDSYMnDownmapsto]\nDownmapsto & \K[\FDSYMnNwsearrow]\nNwsearrow & \K[\FDSYMnvarhookrightarrow]\nvarhookrightarrow \\ \K[\FDSYMndownuparrows]\ndownuparrows & \K[\FDSYMnnwsearrows]\nnwsearrows & \K[\FDSYMnvarhooksearrow]\nvarhooksearrow \\ \K[\FDSYMndownwavearrow]\ndownwavearrow & \K[\FDSYMnrightarrow]\nrightarrow & \K[\FDSYMnvarhookswarrow]\nvarhookswarrow \\ \K[\FDSYMnhookdownarrow]\nhookdownarrow & \K[\FDSYMnRightarrow]\nRightarrow & \K[\FDSYMnvarhookuparrow]\nvarhookuparrow \\ \K[\FDSYMnhookleftarrow]\nhookleftarrow & \K[\FDSYMnrightarrowtail]\nrightarrowtail & \K[\FDSYMnvarleftrightwavearrow]\nvarleftrightwavearrow \\ \K[\FDSYMnhooknearrow]\nhooknearrow & \K[\FDSYMnrightbkarrow]\nrightbkarrow & \K[\FDSYMnvarleftwavearrow]\nvarleftwavearrow \\ \K[\FDSYMnhooknwarrow]\nhooknwarrow & \K[\FDSYMnrightleftarrows]\nrightleftarrows & \K[\FDSYMnvarrightwavearrow]\nvarrightwavearrow \\ \K[\FDSYMnhookrightarrow]\nhookrightarrow & \K[\FDSYMnrightmapsto]\nrightmapsto & \K[\FDSYMnvarupdownwavearrow]\nvarupdownwavearrow \\ \K[\FDSYMnhooksearrow]\nhooksearrow & \K[\FDSYMnRightmapsto]\nRightmapsto & \K[\FDSYMnvarupwavearrow]\nvarupwavearrow \\ \K[\FDSYMnhookswarrow]\nhookswarrow & \K[\FDSYMnrightrightarrows]\nrightrightarrows & \\ \K[\FDSYMnhookuparrow]\nhookuparrow & \K[\FDSYMnrightwavearrow]\nrightwavearrow & \\ \end{longtable} \FDSYM\ defines synonyms for most of the preceding symbols: \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\FDSYMnacwgapcirclearrow]{\nacwgapcirclearrow} & \K[\FDSYMnleftdowncurvedarrow]{\nleftdowncurvedarrow} & \K[\FDSYMnrightcurvedarrow]{\nrightcurvedarrow} \\ \K[\FDSYMnacwopencirclearrow]{\nacwopencirclearrow} & \K[\FDSYMnleftlcurvearrow]{\nleftlcurvearrow} & \K[\FDSYMnrightdowncurvedarrow]{\nrightdowncurvedarrow} \\ \K[\FDSYMncirclearrowleft]{\ncirclearrowleft} & \K[\FDSYMnleftlsquigarrow]{\nleftlsquigarrow} & \K[\FDSYMnrightlcurvearrow]{\nrightlcurvearrow} \\ \K[\FDSYMncirclearrowright]{\ncirclearrowright} & \K[\FDSYMnleftrcurvearrow]{\nleftrcurvearrow} & \K[\FDSYMnrightleftcurvearrow]{\nrightleftcurvearrow} \\ \K[\FDSYMncurvearrowleft]{\ncurvearrowleft} & \K[\FDSYMnleftrightcurvearrow]{\nleftrightcurvearrow} & \K[\FDSYMnrightleftsquigarrow]{\nrightleftsquigarrow} \\ \K[\FDSYMncurvearrowright]{\ncurvearrowright} & \K[\FDSYMnleftrightsquigarrow]{\nleftrightsquigarrow} & \K[\FDSYMnrightlsquigarrow]{\nrightlsquigarrow} \\ \K[\FDSYMncwgapcirclearrow]{\ncwgapcirclearrow} & \K[\FDSYMnleftrsquigarrow]{\nleftrsquigarrow} & \K[\FDSYMnrightrcurvearrow]{\nrightrcurvearrow} \\ \K[\FDSYMncwopencirclearrow]{\ncwopencirclearrow} & \K[\FDSYMnleftsquigarrow]{\nleftsquigarrow} & \K[\FDSYMnrightrsquigarrow]{\nrightrsquigarrow} \\ \K[\FDSYMndasharrow]{\ndasharrow} & \K[\FDSYMnleftupcurvedarrow]{\nleftupcurvedarrow} & \K[\FDSYMnrightsquigarrow]{\nrightsquigarrow} \\ \K[\FDSYMndashleftarrow]{\ndashleftarrow} & \K[\FDSYMnlongleadsto]{\nlongleadsto} & \K[\FDSYMnrightupcurvedarrow]{\nrightupcurvedarrow} \\ \K[\FDSYMndashrightarrow]{\ndashrightarrow} & \K[\FDSYMnlongleftsquigarrow]{\nlongleftsquigarrow} & \K[\FDSYMnselcurvearrow]{\nselcurvearrow} \\ \K[\FDSYMndownlcurvearrow]{\ndownlcurvearrow} & \K[\FDSYMnlongrightsquigarrow]{\nlongrightsquigarrow} & \K[\FDSYMnsenwcurvearrow]{\nsenwcurvearrow} \\ \K[\FDSYMndownleftcurvedarrow]{\ndownleftcurvedarrow} & \K[\FDSYMnmapsdown]{\nmapsdown} & \K[\FDSYMnsercurvearrow]{\nsercurvearrow} \\ \K[\FDSYMndownlsquigarrow]{\ndownlsquigarrow} & \K[\FDSYMnMapsdown]{\nMapsdown} & \K[\FDSYMnswlcurvearrow]{\nswlcurvearrow} \\ \K[\FDSYMndownrcurvearrow]{\ndownrcurvearrow} & \K[\FDSYMnmapsfrom]{\nmapsfrom} & \K[\FDSYMnswnecurvearrow]{\nswnecurvearrow} \\ \K[\FDSYMndownrightcurvedarrow]{\ndownrightcurvedarrow} & \K[\FDSYMnMapsfrom]{\nMapsfrom} & \K[\FDSYMnswrcurvearrow]{\nswrcurvearrow} \\ \K[\FDSYMndownrsquigarrow]{\ndownrsquigarrow} & \K[\FDSYMnmapsto]{\nmapsto} & \K[\FDSYMnto]{\nto} \\ \K[\FDSYMndownupcurvearrow]{\ndownupcurvearrow} & \K[\FDSYMnMapsto]{\nMapsto} & \K[\FDSYMnupdowncurvearrow]{\nupdowncurvearrow} \\ \K[\FDSYMndownupsquigarrow]{\ndownupsquigarrow} & \K[\FDSYMnmapsup]{\nmapsup} & \K[\FDSYMnupdownsquigarrow]{\nupdownsquigarrow} \\ \K[\FDSYMngets]{\ngets} & \K[\FDSYMnMapsup]{\nMapsup} & \K[\FDSYMnuplcurvearrow]{\nuplcurvearrow} \\ \K[\FDSYMnhknearrow]{\nhknearrow} & \K[\FDSYMnnelcurvearrow]{\nnelcurvearrow} & \K[\FDSYMnupleftcurvedarrow]{\nupleftcurvedarrow} \\ \K[\FDSYMnhknwarrow]{\nhknwarrow} & \K[\FDSYMnnercurvearrow]{\nnercurvearrow} & \K[\FDSYMnuplsquigarrow]{\nuplsquigarrow} \\ \K[\FDSYMnhksearrow]{\nhksearrow} & \K[\FDSYMnneswcurvearrow]{\nneswcurvearrow} & \K[\FDSYMnuprcurvearrow]{\nuprcurvearrow} \\ \K[\FDSYMnhkswarrow]{\nhkswarrow} & \K[\FDSYMnnwlcurvearrow]{\nnwlcurvearrow} & \K[\FDSYMnuprightcurvearrow]{\nuprightcurvearrow} \\ \K[\FDSYMnleadsto]{\nleadsto} & \K[\FDSYMnnwrcurvearrow]{\nnwrcurvearrow} & \K[\FDSYMnuprsquigarrow]{\nuprsquigarrow} \\ \K[\FDSYMnleftcurvedarrow]{\nleftcurvedarrow} & \K[\FDSYMnnwsecurvearrow]{\nnwsecurvearrow} & \\ \end{longtable} \end{longsymtable} \begin{symtable}[FDSYM]{\FDSYM\ Harpoons} \index{harpoons} \index{restrictions} \label{fdsym-harpoons} \begin{tabular}{*3{ll}} \K[\FDSYMdownharpoonleft]\downharpoonleft & \K[\FDSYMneswharpoons]\neswharpoons & \K[\FDSYMseharpoonsw]\seharpoonsw \\ \K[\FDSYMdownharpoonright]\downharpoonright & \K[\FDSYMneswharpoonsenw]\neswharpoonsenw & \K[\FDSYMsenwharpoons]\senwharpoons \\ \K[\FDSYMdownupharpoons]\downupharpoons & \K[\FDSYMnwharpoonne]\nwharpoonne & \K[\FDSYMswharpoonnw]\swharpoonnw \\ \K[\FDSYMleftharpoondown]\leftharpoondown & \K[\FDSYMnwharpoonsw]\nwharpoonsw & \K[\FDSYMswharpoonse]\swharpoonse \\ \K[\FDSYMleftharpoonup]\leftharpoonup & \K[\FDSYMnwseharpoonnesw]\nwseharpoonnesw & \K[\FDSYMswneharpoons]\swneharpoons \\ \K[\FDSYMleftrightharpoondownup]\leftrightharpoondownup & \K[\FDSYMnwseharpoons]\nwseharpoons & \K[\FDSYMupdownharpoonleftright]\updownharpoonleftright \\ \K[\FDSYMleftrightharpoons]\leftrightharpoons & \K[\FDSYMnwseharpoonswne]\nwseharpoonswne & \K[\FDSYMupdownharpoonrightleft]\updownharpoonrightleft \\ \K[\FDSYMleftrightharpoonupdown]\leftrightharpoonupdown & \K[\FDSYMrightharpoondown]\rightharpoondown & \K[\FDSYMupdownharpoons]\updownharpoons \\ \K[\FDSYMneharpoonnw]\neharpoonnw & \K[\FDSYMrightharpoonup]\rightharpoonup & \K[\FDSYMupharpoonleft]\upharpoonleft \\ \K[\FDSYMneharpoonse]\neharpoonse & \K[\FDSYMrightleftharpoons]\rightleftharpoons & \K[\FDSYMupharpoonright]\upharpoonright \\ \K[\FDSYMneswharpoonnwse]\neswharpoonnwse & \K[\FDSYMseharpoonne]\seharpoonne & \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines \cmdI[\string\FDSYMrestriction]{\restriction} as a synonym for \cmdI[\string\FDSYMupharpoonright]{\upharpoonright}, \cmdI[\string\FDSYMupdownharpoonsleftright]{\updownharpoonsleftright} as a synonym for \cmdI[\string\FDSYMupdownharpoons]{\updownharpoons}, and \cmdI[\string\FDSYMdownupharpoonsleftright]{\downupharpoonsleftright} as a synonym for \cmdI[\string\FDSYMdownupharpoons]{\downupharpoons}. \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Negated Harpoons} \index{harpoons} \index{restrictions} \label{fdsym-nharpoons} \begin{tabular}{*3{ll}} \K[\FDSYMndownharpoonleft]\ndownharpoonleft & \K[\FDSYMnneswharpoons]\nneswharpoons & \K[\FDSYMnseharpoonsw]\nseharpoonsw \\ \K[\FDSYMndownharpoonright]\ndownharpoonright & \K[\FDSYMnneswharpoonsenw]\nneswharpoonsenw & \K[\FDSYMnsenwharpoons]\nsenwharpoons \\ \K[\FDSYMndownupharpoons]\ndownupharpoons & \K[\FDSYMnnwharpoonne]\nnwharpoonne & \K[\FDSYMnswharpoonnw]\nswharpoonnw \\ \K[\FDSYMnleftharpoondown]\nleftharpoondown & \K[\FDSYMnnwharpoonsw]\nnwharpoonsw & \K[\FDSYMnswharpoonse]\nswharpoonse \\ \K[\FDSYMnleftharpoonup]\nleftharpoonup & \K[\FDSYMnnwseharpoonnesw]\nnwseharpoonnesw & \K[\FDSYMnswneharpoons]\nswneharpoons \\ \K[\FDSYMnleftrightharpoondownup]\nleftrightharpoondownup & \K[\FDSYMnnwseharpoons]\nnwseharpoons & \K[\FDSYMnupdownharpoonleftright]\nupdownharpoonleftright \\ \K[\FDSYMnleftrightharpoons]\nleftrightharpoons & \K[\FDSYMnnwseharpoonswne]\nnwseharpoonswne & \K[\FDSYMnupdownharpoonrightleft]\nupdownharpoonrightleft \\ \K[\FDSYMnleftrightharpoonupdown]\nleftrightharpoonupdown & \K[\FDSYMnrightharpoondown]\nrightharpoondown & \K[\FDSYMnupdownharpoons]\nupdownharpoons \\ \K[\FDSYMnneharpoonnw]\nneharpoonnw & \K[\FDSYMnrightharpoonup]\nrightharpoonup & \K[\FDSYMnupharpoonleft]\nupharpoonleft \\ \K[\FDSYMnneharpoonse]\nneharpoonse & \K[\FDSYMnrightleftharpoons]\nrightleftharpoons & \K[\FDSYMnupharpoonright]\nupharpoonright \\ \K[\FDSYMnneswharpoonnwse]\nneswharpoonnwse & \K[\FDSYMnseharpoonne]\nseharpoonne & \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines \cmdI[\string\FDSYMnrestriction]{\nrestriction} as a synonym for \cmdI[\string\FDSYMnupharpoonright]{\nupharpoonright}, \cmdI[\string\FDSYMndownupharpoonsleftright]{\ndownupharpoonsleftright} as a synonym for \cmdI[\string\FDSYMndownupharpoons]{\ndownupharpoons}, and \cmdI[\string\FDSYMnupdownharpoonsleftright]{\nupdownharpoonsleftright} as a synonym for \cmdI[\string\FDSYMnupdownharpoons]{\nupdownharpoons}. \end{tablenote} \end{symtable} \begin{longsymtable}[BSK]{\BSK\ Arrows} \index{arrows} \index{carriage return} \label{boisik-arrows} \begin{longtable}{*2{ll}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\BSKbarleftarrow]\barleftarrow & \K[\BSKLsh]\Lsh \\ \K[\BSKbarleftarrowrightarrowbar]\barleftarrowrightarrowbar & \K[\BSKmapsdown]\mapsdown \\ \K[\BSKbarovernorthwestarrow]\barovernorthwestarrow & \K[\BSKMapsfrom]\Mapsfrom \\ \K[\BSKcarriagereturn]\carriagereturn & \K[\BSKmapsfrom]\mapsfrom \\ \K[\BSKcirclearrowleft]\circlearrowleft & \K[\BSKMapsto]\Mapsto \\ \K[\BSKcirclearrowright]\circlearrowright & \K[\BSKmapsto]\mapsto \\ \K[\BSKcupleftarrow]\cupleftarrow & \K[\BSKmapsup]\mapsup \\ \K[\BSKcurlyveedownarrow]\curlyveedownarrow & \K[\BSKNearrow]\Nearrow \\ \K[\BSKcurlyveeuparrow]\curlyveeuparrow & \K[\BSKnearrowcorner]\nearrowcorner \\ \K[\BSKcurlywedgedownarrow]\curlywedgedownarrow & \K[\BSKnnearrow]\nnearrow \\ \K[\BSKcurlywedgeuparrow]\curlywedgeuparrow & \K[\BSKnnwarrow]\nnwarrow \\ \K[\BSKcurvearrowbotleft]\curvearrowbotleft & \K[\BSKNwarrow]\Nwarrow \\ \K[\BSKcurvearrowbotleftright]\curvearrowbotleftright & \K[\BSKnwarrowcorner]\nwarrowcorner \\ \K[\BSKcurvearrowbotright]\curvearrowbotright & \K[\BSKrightarrowbar]\rightarrowbar \\ \K[\BSKcurvearrowleft]\curvearrowleft & \K[\BSKrightarrowcircle]\rightarrowcircle \\ \K[\BSKcurvearrowleftright]\curvearrowleftright & \K[\BSKrightarrowtail]\rightarrowtail \\ \K[\BSKcurvearrowright]\curvearrowright & \K[\BSKrightarrowTriangle]\rightarrowTriangle \\ \K[\BSKdlsh]\dlsh & \K[\BSKrightarrowtriangle]\rightarrowtriangle \\ \K[\BSKdownblackarrow]\downblackarrow & \K[\BSKrightblackarrow]\rightblackarrow \\ \K[\BSKdowndasharrow]\downdasharrow & \K[\BSKrightdasharrow]\rightdasharrow \\ \K[\BSKdowndownarrows]\downdownarrows & \K[\BSKrightleftarrows]\rightleftarrows \\ \K[\BSKdowntouparrow]\downtouparrow & \K[\BSKrightrightarrows]\rightrightarrows \\ \K[\BSKdownwhitearrow]\downwhitearrow & \K[\BSKrightsquigarrow]\rightsquigarrow \\ \K[\BSKdownzigzagarrow]\downzigzagarrow & \K[\BSKrightthreearrows]\rightthreearrows \\ \K[\BSKdrsh]\drsh & \K[\BSKrighttoleftarrow]\righttoleftarrow \\ \K[\BSKeqleftrightarrow]\eqleftrightarrow & \K[\BSKrightwhitearrow]\rightwhitearrow \\ \K[\BSKhookleftarrow]\hookleftarrow & \K[\BSKrightwhiteroundarrow]\rightwhiteroundarrow \\ \K[\BSKhookrightarrow]\hookrightarrow & \K[\BSKRrightarrow]\Rrightarrow \\ \K[\BSKleftarrowtail]\leftarrowtail & \K[\BSKRsh]\Rsh \\ \K[\BSKleftarrowTriangle]\leftarrowTriangle & \K[\BSKSearrow]\Searrow \\ \K[\BSKleftarrowtriangle]\leftarrowtriangle & \K[\BSKssearrow]\ssearrow \\ \K[\BSKleftblackarrow]\leftblackarrow & \K[\BSKsswarrow]\sswarrow \\ \K[\BSKleftdasharrow]\leftdasharrow & \K[\BSKSwarrow]\Swarrow \\ \K[\BSKleftleftarrows]\leftleftarrows & \K[\BSKtwoheaddownarrow]\twoheaddownarrow \\ \K[\BSKleftrightarroweq]\leftrightarroweq & \K[\BSKtwoheadleftarrow]\twoheadleftarrow \\ \K[\BSKleftrightarrows]\leftrightarrows & \K[\BSKtwoheadrightarrow]\twoheadrightarrow \\ \K[\BSKleftrightarrowTriangle]\leftrightarrowTriangle & \K[\BSKtwoheaduparrow]\twoheaduparrow \\ \K[\BSKleftrightarrowtriangle]\leftrightarrowtriangle & \K[\BSKtwoheadwhiteuparrow]\twoheadwhiteuparrow \\ \K[\BSKleftrightblackarrow]\leftrightblackarrow & \K[\BSKtwoheadwhiteuparrowpedestal]\twoheadwhiteuparrowpedestal \\ \K[\BSKleftrightsquigarrow]\leftrightsquigarrow & \K[\BSKupblackarrow]\upblackarrow \\ \K[\BSKleftsquigarrow]\leftsquigarrow & \K[\BSKupdasharrow]\updasharrow \\ \K[\BSKlefttorightarrow]\lefttorightarrow & \K[\BSKupdownarrowbar]\updownarrowbar \\ \K[\BSKleftwhitearrow]\leftwhitearrow & \K[\BSKupdownblackarrow]\updownblackarrow \\ \K[\BSKleftwhiteroundarrow]\leftwhiteroundarrow & \K[\BSKupdownwhitearrow]\updownwhitearrow \\ \K[\BSKleftzigzagarrow]\leftzigzagarrow & \K[\BSKuptodownarrow]\uptodownarrow \\ \K[\BSKlinefeed]\linefeed & \K[\BSKupuparrows]\upuparrows \\ \K[\BSKLleftarrow]\Lleftarrow & \K[\BSKupwhitearrow]\upwhitearrow \\ \K[\BSKlooparrowdownleft]\looparrowdownleft & \K[\BSKwhitearrowupfrombar]\whitearrowupfrombar \\ \K[\BSKlooparrowdownright]\looparrowdownright & \K[\BSKwhitearrowuppedestal]\whitearrowuppedestal \\ \K[\BSKlooparrowleft]\looparrowleft & \K[\BSKwhitearrowuppedestalhbar]\whitearrowuppedestalhbar \\ \K[\BSKlooparrowright]\looparrowright & \K[\BSKwhitearrowuppedestalvbar]\whitearrowuppedestalvbar \\ \end{longtable} \begin{tablenote} Many of these symbols are defined only if the \optname{boisik}{arrows} package option is specified. \end{tablenote} \end{longsymtable} \begin{symtable}[BSK]{\BSK\ Negated Arrows} \index{arrows} \label{boisik-narrows} \begin{tabular}{*3{ll}} \K[\BSKnHdownarrow]\nHdownarrow & \K[\BSKnLeftrightarroW]\nLeftrightarroW & \K[\BSKnRightarrow]\nRightarrow \\ \K[\BSKnHuparrow]\nHuparrow & \K[\BSKnleftrightarrow]\nleftrightarrow & \K[\BSKnVleftarrow]\nVleftarrow \\ \K[\BSKnLeftarrow]\nLeftarrow & \K[\BSKnLeftrightarrow]\nLeftrightarrow & \K[\BSKnVrightarrow]\nVrightarrow \\ \K[\BSKnleftarrow]\nleftarrow & \K[\BSKnrightarrow]\nrightarrow & \\ \end{tabular} \bigskip \begin{tablenote} Many of these symbols are defined only if the \optname{boisik}{arrows} package option is specified. \end{tablenote} \end{symtable} \begin{symtable}[BSK]{\BSK\ Harpoons} \index{harpoons} \label{bsk-harpoons} \begin{tabular}{*3{ll}} \K[\BSKdownharpoonleft]\downharpoonleft & \K[\BSKleftrightharpoons]\leftrightharpoons & \K[\BSKupharpoonleft]\upharpoonleft \\ \K[\BSKdownharpoonright]\downharpoonright & \K[\BSKrightharpoondown]\rightharpoondown & \K[\BSKupharpoonright]\upharpoonright \\ \K[\BSKleftharpoondown]\leftharpoondown & \K[\BSKrightharpoonup]\rightharpoonup & \\ \K[\BSKleftharpoonup]\leftharpoonup & \K[\BSKrightleftharpoons]\rightleftharpoons & \\ \end{tabular} \end{symtable} \begin{longsymtable}[STIX]{\STIX\ Arrows} \ltindex{arrows} \ltindex{carriage return} \label{stix-arrows} \begin{longtable}{*2{ll}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXacwcirclearrow]\acwcirclearrow & \K[\STIXlongmapsto]\longmapsto \\ \K[\STIXacwgapcirclearrow]\acwgapcirclearrow & \K[\STIXLongmapsto]\Longmapsto \\ \K[\STIXacwleftarcarrow]\acwleftarcarrow & \K[\STIXlongrightarrow]\longrightarrow \\ \K[\STIXacwoverarcarrow]\acwoverarcarrow & \K[\STIXLongrightarrow]\Longrightarrow \\ \K[\STIXacwunderarcarrow]\acwunderarcarrow & \K[\STIXlongrightsquigarrow]\longrightsquigarrow \\ \K[\STIXbarleftarrow]\barleftarrow & \K[\STIXlooparrowleft]\looparrowleft \\ \K[\STIXbarleftarrowrightarrowbar]\barleftarrowrightarrowbar$^*$ & \K[\STIXlooparrowright]\looparrowright \\ \K[\STIXbarrightarrowdiamond]\barrightarrowdiamond & \K[\STIXLsh]\Lsh \\ \K[\STIXbaruparrow]\baruparrow & \K[\STIXmapsdown]\mapsdown \\ \K[\STIXbsimilarleftarrow]\bsimilarleftarrow & \K[\STIXMapsfrom]\Mapsfrom \\ \K[\STIXbsimilarrightarrow]\bsimilarrightarrow & \K[\STIXmapsfrom]\mapsfrom \\ \K[\STIXcarriagereturn]\carriagereturn$^*$ & \K[\STIXmapsto]\mapsto \\ \K[\STIXccwundercurvearrow]\ccwundercurvearrow & \K[\STIXMapsto]\Mapsto \\ \K[\STIXcirclearrowleft]\circlearrowleft & \K[\STIXmapsup]\mapsup \\ \K[\STIXcirclearrowright]\circlearrowright & \K[\STIXNearrow]\Nearrow \\ \K[\STIXcircleonleftarrow]\circleonleftarrow & \K[\STIXnearrow]\nearrow \\ \K[\STIXcircleonrightarrow]\circleonrightarrow & \K[\STIXneovnwarrow]\neovnwarrow$^*$ \\ \K[\STIXcurvearrowleft]\curvearrowleft & \K[\STIXneovsearrow]\neovsearrow$^*$ \\ \K[\STIXcurvearrowleftplus]\curvearrowleftplus & \K[\STIXneswarrow]\neswarrow \\ \K[\STIXcurvearrowright]\curvearrowright & \K[\STIXnwarrow]\nwarrow \\ \K[\STIXcurvearrowrightminus]\curvearrowrightminus & \K[\STIXNwarrow]\Nwarrow \\ \K[\STIXcwcirclearrow]\cwcirclearrow & \K[\STIXnwovnearrow]\nwovnearrow$^*$ \\ \K[\STIXcwgapcirclearrow]\cwgapcirclearrow & \K[\STIXnwsearrow]\nwsearrow \\ \K[\STIXcwrightarcarrow]\cwrightarcarrow & \K[\STIXrdiagovsearrow]\rdiagovsearrow$^*$ \\ \K[\STIXcwundercurvearrow]\cwundercurvearrow & \K[\STIXRdsh]\Rdsh \\ \K[\STIXdbkarow]\dbkarow & \K[\STIXRightarrow]\Rightarrow \\ \K[\STIXDDownarrow]\DDownarrow & \K[\STIXrightarrow]\rightarrow \\ \K[\STIXDdownarrow]\Ddownarrow & \K[\STIXrightarrowapprox]\rightarrowapprox \\ \K[\STIXdiamondleftarrow]\diamondleftarrow & \K[\STIXrightarrowbackapprox]\rightarrowbackapprox \\ \K[\STIXdiamondleftarrowbar]\diamondleftarrowbar & \K[\STIXrightarrowbar]\rightarrowbar \\ \K[\STIXdownarrow]\downarrow & \K[\STIXrightarrowbsimilar]\rightarrowbsimilar \\ \K[\STIXDownarrow]\Downarrow & \K[\STIXrightarrowdiamond]\rightarrowdiamond \\ \K[\STIXdownarrowbar]\downarrowbar & \K[\STIXrightarrowonoplus]\rightarrowonoplus \\ \K[\STIXdownarrowbarred]\downarrowbarred & \K[\STIXrightarrowplus]\rightarrowplus \\ \K[\STIXdowndasharrow]\downdasharrow$^*$ & \K[\STIXrightarrowshortleftarrow]\rightarrowshortleftarrow \\ \K[\STIXdowndownarrows]\downdownarrows & \K[\STIXrightarrowsimilar]\rightarrowsimilar \\ \K[\STIXdownrightcurvedarrow]\downrightcurvedarrow$^*$ & \K[\STIXrightarrowtail]\rightarrowtail \\ \K[\STIXdownuparrows]\downuparrows & \K[\STIXrightarrowtriangle]\rightarrowtriangle \\ \K[\STIXdownwhitearrow]\downwhitearrow$^*$ & \K[\STIXrightarrowx]\rightarrowx \\ \K[\STIXdownzigzagarrow]\downzigzagarrow & \K[\STIXrightbkarrow]\rightbkarrow \\ \K[\STIXdraftingarrow]\draftingarrow$^*$ & \K[\STIXrightcurvedarrow]\rightcurvedarrow \\ \K[\STIXdrbkarow]\drbkarow & \K[\STIXrightdasharrow]\rightdasharrow$^*$ \\ \K[\STIXequalleftarrow]\equalleftarrow & \K[\STIXrightdotarrow]\rightdotarrow \\ \K[\STIXequalrightarrow]\equalrightarrow & \K[\STIXrightdowncurvedarrow]\rightdowncurvedarrow \\ \K[\STIXfdiagovnearrow]\fdiagovnearrow$^*$ & \K[\STIXrightleftarrows]\rightleftarrows \\ \K[\STIXhknearrow]\hknearrow & \K[\STIXrightrightarrows]\rightrightarrows \\ \K[\STIXhknwarrow]\hknwarrow & \K[\STIXrightsquigarrow]\rightsquigarrow \\ \K[\STIXhksearow]\hksearow & \K[\STIXrightthreearrows]\rightthreearrows \\ \K[\STIXhkswarow]\hkswarow & \K[\STIXrightwavearrow]\rightwavearrow \\ \K[\STIXhookleftarrow]\hookleftarrow & \K[\STIXrightwhitearrow]\rightwhitearrow$^*$ \\ \K[\STIXhookrightarrow]\hookrightarrow & \K[\STIXRRightarrow]\RRightarrow \\ \K[\STIXLdsh]\Ldsh & \K[\STIXRrightarrow]\Rrightarrow \\ \K[\STIXleftarrow]\leftarrow & \K[\STIXRsh]\Rsh \\ \K[\STIXLeftarrow]\Leftarrow & \K[\STIXsearrow]\searrow \\ \K[\STIXleftarrowapprox]\leftarrowapprox & \K[\STIXSearrow]\Searrow \\ \K[\STIXleftarrowbackapprox]\leftarrowbackapprox & \K[\STIXseovnearrow]\seovnearrow$^*$ \\ \K[\STIXleftarrowbsimilar]\leftarrowbsimilar & \K[\STIXshortrightarrowleftarrow]\shortrightarrowleftarrow \\ \K[\STIXleftarrowonoplus]\leftarrowonoplus & \K[\STIXsimilarleftarrow]\similarleftarrow \\ \K[\STIXleftarrowplus]\leftarrowplus & \K[\STIXsimilarrightarrow]\similarrightarrow \\ \K[\STIXleftarrowshortrightarrow]\leftarrowshortrightarrow & \K[\STIXswarrow]\swarrow \\ \K[\STIXleftarrowsimilar]\leftarrowsimilar & \K[\STIXSwarrow]\Swarrow \\ \K[\STIXleftarrowtail]\leftarrowtail & \K[\STIXtoea]\toea \\ \K[\STIXleftarrowtriangle]\leftarrowtriangle & \K[\STIXtona]\tona \\ \K[\STIXleftarrowx]\leftarrowx & \K[\STIXtosa]\tosa \\ \K[\STIXleftbkarrow]\leftbkarrow & \K[\STIXtowa]\towa \\ \K[\STIXleftcurvedarrow]\leftcurvedarrow & \K[\STIXtwoheaddownarrow]\twoheaddownarrow \\ \K[\STIXleftdasharrow]\leftdasharrow$^*$ & \K[\STIXtwoheadleftarrow]\twoheadleftarrow \\ \K[\STIXleftdbkarrow]\leftdbkarrow & \K[\STIXtwoheadleftarrowtail]\twoheadleftarrowtail \\ \K[\STIXleftdotarrow]\leftdotarrow & \K[\STIXtwoheadleftdbkarrow]\twoheadleftdbkarrow \\ \K[\STIXleftdowncurvedarrow]\leftdowncurvedarrow & \K[\STIXtwoheadmapsfrom]\twoheadmapsfrom \\ \K[\STIXleftleftarrows]\leftleftarrows & \K[\STIXtwoheadmapsto]\twoheadmapsto \\ \K[\STIXLeftrightarrow]\Leftrightarrow & \K[\STIXtwoheadrightarrow]\twoheadrightarrow \\ \K[\STIXleftrightarrow]\leftrightarrow & \K[\STIXtwoheadrightarrowtail]\twoheadrightarrowtail \\ \K[\STIXleftrightarrowcircle]\leftrightarrowcircle & \K[\STIXtwoheaduparrow]\twoheaduparrow \\ \K[\STIXleftrightarrows]\leftrightarrows & \K[\STIXtwoheaduparrowcircle]\twoheaduparrowcircle \\ \K[\STIXleftrightarrowtriangle]\leftrightarrowtriangle & \K[\STIXuparrow]\uparrow \\ \K[\STIXleftrightsquigarrow]\leftrightsquigarrow & \K[\STIXUparrow]\Uparrow \\ \K[\STIXleftsquigarrow]\leftsquigarrow & \K[\STIXuparrowbarred]\uparrowbarred \\ \K[\STIXleftthreearrows]\leftthreearrows & \K[\STIXupdasharrow]\updasharrow$^*$ \\ \K[\STIXleftwavearrow]\leftwavearrow & \K[\STIXUpdownarrow]\Updownarrow \\ \K[\STIXleftwhitearrow]\leftwhitearrow$^*$ & \K[\STIXupdownarrow]\updownarrow \\ \K[\STIXlinefeed]\linefeed$^*$ & \K[\STIXupdownarrowbar]\updownarrowbar$^*$ \\ \K[\STIXLLeftarrow]\LLeftarrow & \K[\STIXupdownarrows]\updownarrows \\ \K[\STIXLleftarrow]\Lleftarrow & \K[\STIXuprightcurvearrow]\uprightcurvearrow$^*$ \\ \K[\STIXlongleftarrow]\longleftarrow & \K[\STIXupuparrows]\upuparrows \\ \K[\STIXLongleftarrow]\Longleftarrow & \K[\STIXupwhitearrow]\upwhitearrow$^*$ \\ \K[\STIXLongleftrightarrow]\Longleftrightarrow & \K[\STIXUUparrow]\UUparrow \\ \K[\STIXlongleftrightarrow]\longleftrightarrow & \K[\STIXUuparrow]\Uuparrow \\ \K[\STIXlongleftsquigarrow]\longleftsquigarrow & \K[\STIXvarcarriagereturn]\varcarriagereturn$^*$ \\ \K[\STIXLongmapsfrom]\Longmapsfrom & \K[\STIXwhitearrowupfrombar]\whitearrowupfrombar$^*$ \\ \K[\STIXlongmapsfrom]\longmapsfrom & \\ \end{longtable} \begin{tablenote}[*] Defined as an ordinary character, not as a binary relation. \end{tablenote} \bigskip \begin{tablenote} \STIX\ defines \cmdI[\string\STIXacwopencirclearrow]{\acwopencirclearrow} as a synonym for \cmdI[\string\STIXcirclearrowleft]{\circlearrowleft}, \cmdI[\string\STIXcwopencirclearrow]{\cwopencirclearrow} as a synonym for \cmdI[\string\STIXcirclearrowright]{\circlearrowright}, \cmdI[\string\STIXleadsto]{\leadsto} as a synonym for \cmdI[\string\STIXrightsquigarrow]{\rightsquigarrow}, \cmdI[\string\STIXdashleftarrow]{\dashleftarrow} as a synonym for \cmdI[\string\STIXleftdbkarrow]{\leftdbkarrow}, and \cmdI[\string\STIXdashrightarrow]{\dashrightarrow} and \cmdI[\string\STIXdasharrow]{\dasharrow} as synonyms for \cmdI[\string\STIXdbkarow]{\dbkarow}. \end{tablenote} \end{longsymtable} \begin{symtable}[STIX]{\STIX\ Negated Arrows} \index{arrows} \label{stix-narrows} \begin{tabular}{*2{ll}} \K[\STIXnHdownarrow]\nHdownarrow$^*$ & \K[\STIXnvLeftrightarrow]\nvLeftrightarrow \\ \K[\STIXnHuparrow]\nHuparrow$^*$ & \K[\STIXnVrightarrow]\nVrightarrow \\ \K[\STIXnleftarrow]\nleftarrow$^\dag$ & \K[\STIXnvRightarrow]\nvRightarrow \\ \K[\STIXnLeftarrow]\nLeftarrow & \K[\STIXnvrightarrow]\nvrightarrow \\ \K[\STIXnleftrightarrow]\nleftrightarrow & \K[\STIXnVrightarrowtail]\nVrightarrowtail \\ \K[\STIXnLeftrightarrow]\nLeftrightarrow & \K[\STIXnvrightarrowtail]\nvrightarrowtail \\ \K[\STIXnRightarrow]\nRightarrow & \K[\STIXnvtwoheadleftarrow]\nvtwoheadleftarrow \\ \K[\STIXnrightarrow]\nrightarrow & \K[\STIXnVtwoheadleftarrow]\nVtwoheadleftarrow \\ \K[\STIXnvleftarrow]\nvleftarrow & \K[\STIXnvtwoheadleftarrowtail]\nvtwoheadleftarrowtail \\ \K[\STIXnvLeftarrow]\nvLeftarrow & \K[\STIXnVtwoheadleftarrowtail]\nVtwoheadleftarrowtail \\ \K[\STIXnVleftarrow]\nVleftarrow & \K[\STIXnVtwoheadrightarrow]\nVtwoheadrightarrow \\ \K[\STIXnVleftarrowtail]\nVleftarrowtail & \K[\STIXnvtwoheadrightarrow]\nvtwoheadrightarrow \\ \K[\STIXnvleftarrowtail]\nvleftarrowtail & \K[\STIXnvtwoheadrightarrowtail]\nvtwoheadrightarrowtail \\ \K[\STIXnvleftrightarrow]\nvleftrightarrow & \K[\STIXnVtwoheadrightarrowtail]\nVtwoheadrightarrowtail \\ \K[\STIXnVleftrightarrow]\nVleftrightarrow & \\ \end{tabular} \bigskip \begin{tablenote}[*] Defined as an ordinary character, not as a binary relation. \end{tablenote} \bigskip \begin{tablenote}[\dag] \STIX\ defines \cmdI[\string\STIXngets]{\ngets} as a synonym for \cmdI[\string\STIXnleftarrow]{\nleftarrow}. \end{tablenote} \end{symtable} \begin{longsymtable}[STIX]{\STIX\ Harpoons} \ltindex{harpoons} \ltindex{restrictions} \label{stix-harpoons} \begin{longtable}{*2{ll}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXbardownharpoonleft]\bardownharpoonleft & \K[\STIXleftrightharpoons]\leftrightharpoons \\ \K[\STIXbardownharpoonright]\bardownharpoonright & \K[\STIXleftrightharpoonsdown]\leftrightharpoonsdown \\ \K[\STIXbarleftharpoondown]\barleftharpoondown & \K[\STIXleftrightharpoonsup]\leftrightharpoonsup \\ \K[\STIXbarleftharpoonup]\barleftharpoonup & \K[\STIXleftrightharpoonupdown]\leftrightharpoonupdown \\ \K[\STIXbarrightharpoondown]\barrightharpoondown & \K[\STIXleftrightharpoonupup]\leftrightharpoonupup \\ \K[\STIXbarrightharpoonup]\barrightharpoonup & \K[\STIXrightharpoondown]\rightharpoondown \\ \K[\STIXbarupharpoonleft]\barupharpoonleft & \K[\STIXrightharpoondownbar]\rightharpoondownbar \\ \K[\STIXbarupharpoonright]\barupharpoonright & \K[\STIXrightharpoonsupdown]\rightharpoonsupdown \\ \K[\STIXdashleftharpoondown]\dashleftharpoondown & \K[\STIXrightharpoonup]\rightharpoonup \\ \K[\STIXdashrightharpoondown]\dashrightharpoondown & \K[\STIXrightharpoonupbar]\rightharpoonupbar \\ \K[\STIXdownharpoonleft]\downharpoonleft & \K[\STIXrightharpoonupdash]\rightharpoonupdash \\ \K[\STIXdownharpoonleftbar]\downharpoonleftbar & \K[\STIXrightleftharpoons]\rightleftharpoons \\ \K[\STIXdownharpoonright]\downharpoonright & \K[\STIXrightleftharpoonsdown]\rightleftharpoonsdown \\ \K[\STIXdownharpoonrightbar]\downharpoonrightbar & \K[\STIXrightleftharpoonsup]\rightleftharpoonsup \\ \K[\STIXdownharpoonsleftright]\downharpoonsleftright & \K[\STIXupdownharpoonleftleft]\updownharpoonleftleft \\ \K[\STIXdownupharpoonsleftright]\downupharpoonsleftright & \K[\STIXupdownharpoonleftright]\updownharpoonleftright \\ \K[\STIXleftharpoondown]\leftharpoondown & \K[\STIXupdownharpoonrightleft]\updownharpoonrightleft \\ \K[\STIXleftharpoondownbar]\leftharpoondownbar & \K[\STIXupdownharpoonrightright]\updownharpoonrightright \\ \K[\STIXleftharpoonsupdown]\leftharpoonsupdown & \K[\STIXupdownharpoonsleftright]\updownharpoonsleftright \\ \K[\STIXleftharpoonup]\leftharpoonup & \K[\STIXupharpoonleft]\upharpoonleft \\ \K[\STIXleftharpoonupbar]\leftharpoonupbar & \K[\STIXupharpoonleftbar]\upharpoonleftbar \\ \K[\STIXleftharpoonupdash]\leftharpoonupdash & \K[\STIXupharpoonright]\upharpoonright$^*$ \\ \K[\STIXleftrightharpoondowndown]\leftrightharpoondowndown & \K[\STIXupharpoonrightbar]\upharpoonrightbar \\ \K[\STIXleftrightharpoondownup]\leftrightharpoondownup & \K[\STIXupharpoonsleftright]\upharpoonsleftright \\ \end{longtable} \begin{tablenote}[*] \STIX\ defines \cmdI[\string\STIXrestriction]{\restriction} as a synonym for \cmdI[\string\STIXupharpoonright]{\upharpoonright}. \end{tablenote} \end{longsymtable} \begin{symtable}[HARP]{\HARP\ Extensible Harpoons} \index{harpoons} \index{symbols>extensible} \label{harp-harpoons} \begin{tabular}{*3{ll}} \W\overleftharp{abc} & \W\overrightharpdown{abc} & \W\underrightharp{abc} \\ \W\overleftharpdown{abc} & \W\underleftharp{abc} & \W\underrightharpdown{abc} \\ \W\overrightharp{abc} & \W\underleftharpdown{abc} & \\ \end{tabular} \bigskip \begin{tablenote} All of the \HARP\ symbols are implemented using the \pkgname{graphics} package (specifically, \pkgname{graphics}'s \cmd{\resizebox} command). Consequently, only \tex backends that support graphical transformations (e.g.,~\emph{not} Xdvi\index{Xdvi}) can properly display these symbols. \end{tablenote} \end{symtable} \begin{symtable}[CHEMB]{\CHEMB\ Arrows} \index{arrows} \label{chemarrow-arrows} \begin{tabular}{ll} \X\chemarrow \end{tabular} \end{symtable} \begin{symtable}[FGE]{\FGE\ Arrows} \index{arrows} \idxboth{fletched}{arrows} \idxboth{Frege logic}{symbols} \label{fge-arrows} \begin{tabular}{ll@{\qquad}ll} \K\fgerightarrow & \K\fgeuparrow \\ \end{tabular} \end{symtable} \begin{symtable}[OLDARR]{\OLDARR\ Arrows} \index{arrows} \label{old-arrows} \begin{tabular}{*3{ll}} \K[\OLDdownarrow]\downarrow & \K[\OLDlongleftrightarrow]\longleftrightarrow & \K[\OLDnwarrow]\nwarrow \\ \K[\OLDhookleftarrow]\hookleftarrow & \K[\OLDlongmapsfrom]\longmapsfrom$^*$ & \K[\OLDrightarrow]\rightarrow \\ \K[\OLDhookrightarrow]\hookrightarrow & \K[\OLDlongmapsto]\longmapsto & \K[\OLDsearrow]\searrow \\ \K[\OLDleftarrow]\leftarrow & \K[\OLDlongrightarrow]\longrightarrow & \K[\OLDswarrow]\swarrow \\ \K[\OLDleftrightarrow]\leftrightarrow & \K[\OLDmapsfrom]\mapsfrom$^*$ & \K[\OLDuparrow]\uparrow \\ \K[\OLDlonghookrightarrow]\longhookrightarrow & \K[\OLDmapsto]\mapsto & \K[\OLDupdownarrow]\updownarrow \\ \K[\OLDlongleftarrow]\longleftarrow & \K[\OLDnearrow]\nearrow & \\ \end{tabular} \bigskip \begin{tablenote} The arrows provided by \OLDARR\ represent Donald\index{Knuth, Donald E.} Knuth's pre-1992 \PSfont{Computer Modern} glyphs, which feature smaller arrowheads. Contrast the following: \begin{center} \begin{tabular}{ccc} \Huge $\rightarrow$ & vs. & \Huge \OLDrightarrow \\ default & & \OLDARR \\ \end{tabular} \end{center} \ifAMS \ifMTOOLS In addition to the arrows shown above, \OLDARR\ also reduces the arrowhead size for \AMS's \cmdI[$\string\blackacc{\string\overleftarrow}$]{\overleftarrow}, \cmdI[$\string\blackacc{\string\overrightarrow}$]{\overrightarrow}, \cmdI[$\string\blackacc{\string\overleftrightarrow}$]{\overleftrightarrow}, \cmdI[$\string\blackacc{\string\underleftarrow}$]{\underleftarrow}, \cmdI[$\string\blackacc{\string\underrightarrow}$]{\underrightarrow}, \cmdI[$\string\blackacc{\string\underleftrightarrow}$]{\underleftrightarrow}, \cmdI[$\string\blackacc{\string\xleftarrow}$]{\xleftarrow}, \cmdI[$\string\blackacc{\string\xrightarrow}$]{\xrightarrow}, \cmdX{\varinjlim}, and \cmdX{\varprojlim} symbols (\vref*{extensible-accents}, \vref{ams-extensible-arrows}, and \vref{ams-log}) and \MTOOLS's \cmdI[$\string\blackacc{\string\xleftrightarrow}$]{\xleftrightarrow}, \cmdI[$\string\blackacc{\string\xhookleftarrow}$]{\xhookleftarrow}, \cmdI[$\string\blackacc{\string\xhookrightarrow}$]{\xhookrightarrow}, and \cmdI[$\string\blackacc{\string\xmapsto}$]{\xmapsto} symbols (\vref*{mathtools-extensible-arrows}). \fi \fi With the \optname{old-arrows}{new} package option, \OLDARR\ prefixes all of the above with ``\texttt{var}'' (i.e.,~\verb|\vardownarrow|, \verb|\varhookleftarrow|, etc.) so both old and new glyphs can be used in the same document. \seedocs{\OLDARR}. \incsyms\indexcommand[\string\OLDdownarrow]{\vardownarrow} \incsyms\indexcommand[\string\OLDhookleftarrow]{\varhookleftarrow} \incsyms\indexcommand[\string\OLDhookrightarrow]{\varhookrightarrow} \incsyms\indexcommand[\string\OLDleftarrow]{\varleftarrow} \incsyms\indexcommand[\string\OLDleftrightarrow]{\varleftrightarrow} \incsyms\indexcommand[\string\OLDlongleftarrow]{\varlongleftarrow} \incsyms\indexcommand[\string\OLDlongleftrightarrow]{\varlongleftrightarrow} \incsyms\indexcommand[\string\OLDlongmapsfrom]{\varlongmapsfrom} \incsyms\indexcommand[\string\OLDlongmapsto]{\varlongmapsto} \incsyms\indexcommand[\string\OLDlongrightarrow]{\varlongrightarrow} \incsyms\indexcommand[\string\OLDmapsfrom]{\varmapsfrom} \incsyms\indexcommand[\string\OLDmapsto]{\varmapsto} \incsyms\indexcommand[\string\OLDnearrow]{\varnearrow} \incsyms\indexcommand[\string\OLDnearrow]{\varnearrow} \incsyms\indexcommand[\string\OLDnwarrow]{\varnwarrow} \incsyms\indexcommand[\string\OLDnwarrow]{\varnwarrow} \incsyms\indexcommand[\string\OLDrightarrow]{\varrightarrow} \incsyms\indexcommand[\string\OLDsearrow]{\varsearrow} \incsyms\indexcommand[\string\OLDsearrow]{\varsearrow} \incsyms\indexcommand[\string\OLDswarrow]{\varswarrow} \incsyms\indexcommand[\string\OLDswarrow]{\varswarrow} \incsyms\indexcommand[\string\OLDuparrow]{\varuparrow} \incsyms\indexcommand[\string\OLDupdownarrow]{\varupdownarrow} \end{tablenote} \bigskip \begin{tablenote}[*] Requires \ST. \end{tablenote} \end{symtable} \begin{symtable}[OLDARR]{\OLDARR\ Harpoons} \index{harpoons} \label{old-arrows-harpoons} \begin{tabular}{*2{ll}} \K[\OLDlongleftharpoondown]\longleftharpoondown & \K[\OLDlongrightharpoondown]\longrightharpoondown \\ \K[\OLDlongleftharpoonup]\longleftharpoonup & \K[\OLDlongrightharpoonup]\longrightharpoonup \\ \end{tabular} \bigskip \begin{tablenote} Unlike the symbols shown in \vref{old-arrows}, the \optname{old-arrows}{new} package option does not define a \verb|\var|\dots\ version of the symbols in this table. Also unlike the symbols shown in \ref{old-arrows}, the harpoon arrowheads in this table are not reduced in size (i.e.,~relative to the size of those shown in \vref{harpoons}). \end{tablenote} \end{symtable} \begin{symtable}[ESR]{\ESR\ Restrictions} \index{restrictions} \label{esrelations} \begin{tabular}{*3{ll}} \K\restrictbarb & \K\restrictmallet & \K\restrictwand \\ \K\restrictbarbup & \K\restrictmalletup & \K\restrictwandup \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Spoons} \index{binary relations} \index{relational symbols>binary} \idxboth{spoon}{symbols} \label{mns-spoons} \begin{tabular}{*3{ll}} \K[\MNSdownfilledspoon]\downfilledspoon & \K[\MNSnnespoon]\nnespoon & \K[\MNSnwfilledspoon]\nwfilledspoon \\ \K[\MNSdownspoon]\downspoon & \K[\MNSnnwfilledspoon]\nnwfilledspoon & \K[\MNSnwspoon]\nwspoon \\ \K[\MNSleftfilledspoon]\leftfilledspoon & \K[\MNSnnwspoon]\nnwspoon & \K[\MNSrightfilledspoon]\rightfilledspoon \\ \K[\MNSleftspoon]\leftspoon & \K[\MNSnrightfilledspoon]\nrightfilledspoon & \K[\MNSrightspoon]\rightspoon$^*$ \\ \K[\MNSndownfilledspoon]\ndownfilledspoon & \K[\MNSnrightspoon]\nrightspoon$^*$ & \K[\MNSsefilledspoon]\sefilledspoon \\ \K[\MNSndownspoon]\ndownspoon & \K[\MNSnsefilledspoon]\nsefilledspoon & \K[\MNSsespoon]\sespoon \\ \K[\MNSnefilledspoon]\nefilledspoon & \K[\MNSnsespoon]\nsespoon & \K[\MNSswfilledspoon]\swfilledspoon \\ \K[\MNSnespoon]\nespoon & \K[\MNSnswfilledspoon]\nswfilledspoon & \K[\MNSswspoon]\swspoon \\ \K[\MNSnleftfilledspoon]\nleftfilledspoon & \K[\MNSnswspoon]\nswspoon & \K[\MNSupfilledspoon]\upfilledspoon \\ \K[\MNSnleftspoon]\nleftspoon & \K[\MNSnupfilledspoon]\nupfilledspoon & \K[\MNSupspoon]\upspoon \\ \K[\MNSnnefilledspoon]\nnefilledspoon & \K[\MNSnupspoon]\nupspoon & \\ \end{tabular} \bigskip \begin{tablenote}[*] \MNS\ defines \cmdI[\MNSrightspoon]{\multimap} as a synonym for \cmdI[\MNSrightspoon]{\rightspoon} and \cmdI[\MNSnrightspoon]{\nmultimap} as a synonym for \cmdI[\MNSnrightspoon]{\nrightspoon}. \end{tablenote} \end{symtable} \begin{symtable}[MNS]{\MNS\ Pitchforks} \index{binary relations} \index{relational symbols>binary} \index{pitchforks} \label{mns-pitchforks} \begin{tabular}{*3{ll}} \K[\MNSdownpitchfork]\downpitchfork & \K[\MNSnnwpitchfork]\nnwpitchfork & \K[\MNSrightpitchfork]\rightpitchfork \\ \K[\MNSleftpitchfork]\leftpitchfork & \K[\MNSnrightpitchfork]\nrightpitchfork & \K[\MNSsepitchfork]\sepitchfork \\ \K[\MNSndownpitchfork]\ndownpitchfork & \K[\MNSnsepitchfork]\nsepitchfork & \K[\MNSswpitchfork]\swpitchfork \\ \K[\MNSnepitchfork]\nepitchfork & \K[\MNSnswpitchfork]\nswpitchfork & \K[\MNSuppitchfork]\uppitchfork \\ \K[\MNSnleftpitchfork]\nleftpitchfork & \K[\MNSnuppitchfork]\nuppitchfork & \\ \K[\MNSnnepitchfork]\nnepitchfork & \K[\MNSnwpitchfork]\nwpitchfork & \\ \end{tabular} \bigskip \begin{tablenote}[*] \MNS\ defines \cmdI[\MNSuppitchfork]{\pitchfork} as a synonym for \cmdI[\MNSuppitchfork]{\uppitchfork} and \cmdI[\MNSnuppitchfork]{\npitchfork} as a synonym for \cmdI[\MNSnuppitchfork]{\nuppitchfork}. \end{tablenote} \end{symtable} \begin{symtable}[MNS]{\MNS\ Smiles and Frowns} \index{binary relations} \index{relational symbols>binary} \idxboth{smile}{symbols} \idxboth{frown}{symbols} \label{mns-smile-frown} \begin{tabular}{*3{ll}} \K[\MNSdoublefrown]\doublefrown & \K[\MNSnsmileeq]\nsmileeq & \K[\MNSsmileeq]\smileeq \\ \K[\MNSdoublefrowneq]\doublefrowneq & \K[\MNSnsmileeqfrown]\nsmileeqfrown & \K[\MNSsmileeqfrown]\smileeqfrown \\ \K[\MNSdoublesmile]\doublesmile & \K[\MNSnsmilefrown]\nsmilefrown & \K[\MNSsmilefrown]\smilefrown \\ \K[\MNSdoublesmileeq]\doublesmileeq & \K[\MNSnsmilefrowneq]\nsmilefrowneq & \K[\MNSsmilefrowneq]\smilefrowneq \\ \K[\MNSeqfrown]\eqfrown & \K[\MNSnsqdoublefrown]\nsqdoublefrown & \K[\MNSsqdoublefrown]\sqdoublefrown \\ \K[\MNSeqsmile]\eqsmile & \K[\MNSnsqdoublefrowneq]\nsqdoublefrowneq & \K[\MNSsqdoublefrowneq]\sqdoublefrowneq \\ \K[\MNSfrown]\frown & \K[\MNSnsqdoublesmile]\nsqdoublesmile & \K[\MNSsqdoublesmile]\sqdoublesmile \\ \K[\MNSfrowneq]\frowneq & \K[\MNSnsqdoublesmileeq]\nsqdoublesmileeq & \K[\MNSsqdoublesmileeq]\sqdoublesmileeq \\ \K[\MNSfrowneqsmile]\frowneqsmile & \K[\MNSnsqeqfrown]\nsqeqfrown & \K[\MNSsqeqfrown]\sqeqfrown \\ \K[\MNSfrownsmile]\frownsmile & \K[\MNSnsqeqsmile]\nsqeqsmile & \K[\MNSsqeqsmile]\sqeqsmile \\ \K[\MNSfrownsmileeq]\frownsmileeq & \K[\MNSnsqfrown]\nsqfrown & \K[\MNSsqfrown]\sqfrown \\ \K[\MNSndoublefrown]\ndoublefrown & \K[\MNSnsqfrowneq]\nsqfrowneq & \K[\MNSsqfrowneq]\sqfrowneq \\ \K[\MNSndoublefrowneq]\ndoublefrowneq & \K[\MNSnsqfrowneqsmile]\nsqfrowneqsmile & \K[\MNSsqfrowneqsmile]\sqfrowneqsmile \\ \K[\MNSndoublesmile]\ndoublesmile & \K[\MNSnsqfrownsmile]\nsqfrownsmile & \K[\MNSsqfrownsmile]\sqfrownsmile \\ \K[\MNSndoublesmileeq]\ndoublesmileeq & \K[\MNSnsqsmile]\nsqsmile & \K[\MNSsqsmile]\sqsmile \\ \K[\MNSneqfrown]\neqfrown & \K[\MNSnsqsmileeq]\nsqsmileeq & \K[\MNSsqsmileeq]\sqsmileeq \\ \K[\MNSneqsmile]\neqsmile & \K[\MNSnsqsmileeqfrown]\nsqsmileeqfrown & \K[\MNSsqsmileeqfrown]\sqsmileeqfrown \\ \K[\MNSnfrown]\nfrown & \K[\MNSnsqsmilefrown]\nsqsmilefrown & \K[\MNSsqsmilefrown]\sqsmilefrown \\ \K[\MNSnfrowneq]\nfrowneq & \K[\MNSnsqtriplefrown]\nsqtriplefrown & \K[\MNSsqtriplefrown]\sqtriplefrown \\ \K[\MNSnfrowneqsmile]\nfrowneqsmile & \K[\MNSnsqtriplesmile]\nsqtriplesmile & \K[\MNSsqtriplesmile]\sqtriplesmile \\ \K[\MNSnfrownsmile]\nfrownsmile & \K[\MNSntriplefrown]\ntriplefrown & \K[\MNStriplefrown]\triplefrown \\ \K[\MNSnfrownsmileeq]\nfrownsmileeq & \K[\MNSntriplesmile]\ntriplesmile & \K[\MNStriplesmile]\triplesmile \\ \K[\MNSnsmile]\nsmile & \K[\MNSsmile]\smile & \\ \end{tabular} \bigskip \begin{tablenote}[*] \MNS\ defines \cmdI[\MNSsmile]{\smallsmile} as a synonym for \cmdI[\MNSsmile]{\smile}, \cmdI[\MNSfrown]{\smallfrown} as a synonym for \cmdI[\MNSfrown]{\frown}, \cmdI[\MNSsmilefrown]{\asymp} as a synonym for \cmdI[\MNSsmilefrown]{\smilefrown}, and \cmdI[\MNSnsmilefrown]{\nasymp} as a synonym for \cmdI[\MNSnsmilefrown]{\nsmilefrown}. \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Spoons} \index{binary relations} \index{relational symbols>binary} \idxboth{spoon}{symbols} \label{fdsym-spoons} \begin{tabular}{*3{ll}} \K[\FDSYMblackwhitespoon]\blackwhitespoon & \K[\FDSYMndownblackspoon]\ndownblackspoon & \K[\FDSYMnupblackspoon]\nupblackspoon \\ \K[\FDSYMdownblackspoon]\downblackspoon & \K[\FDSYMndownspoon]\ndownspoon & \K[\FDSYMnupspoon]\nupspoon \\ \K[\FDSYMdownspoon]\downspoon & \K[\FDSYMnleftblackspoon]\nleftblackspoon & \K[\FDSYMnwhiteblackspoon]\nwhiteblackspoon \\ \K[\FDSYMleftblackspoon]\leftblackspoon & \K[\FDSYMnleftrightblackspoon]\nleftrightblackspoon & \K[\FDSYMrightblackspoon]\rightblackspoon \\ \K[\FDSYMleftrightblackspoon]\leftrightblackspoon & \K[\FDSYMnleftrightspoon]\nleftrightspoon & \K[\FDSYMrightspoon]\rightspoon \\ \K[\FDSYMleftrightspoon]\leftrightspoon & \K[\FDSYMnleftspoon]\nleftspoon & \K[\FDSYMupblackspoon]\upblackspoon \\ \K[\FDSYMleftspoon]\leftspoon & \K[\FDSYMnrightblackspoon]\nrightblackspoon & \K[\FDSYMupspoon]\upspoon \\ \K[\FDSYMnblackwhitespoon]\nblackwhitespoon & \K[\FDSYMnrightspoon]\nrightspoon & \K[\FDSYMwhiteblackspoon]\whiteblackspoon \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines synonyms for many of the preceding symbols: \begin{center} \begin{tabular}{*3{ll}} \K[\FDSYMcirmid]{\cirmid} & \K[\FDSYMmultimapinv]{\multimapinv} & \K[\FDSYMnmultimap]{\nmultimap} \\ \K[\FDSYMdualmap]{\dualmap} & \K[\FDSYMncirmid]{\ncirmid} & \K[\FDSYMnmultimapinv]{\nmultimapinv} \\ \K[\FDSYMimageof]{\imageof} & \K[\FDSYMndualmap]{\ndualmap} & \K[\FDSYMnorigof]{\norigof} \\ \K[\FDSYMmidcir]{\midcir} & \K[\FDSYMnimageof]{\nimageof} & \K[\FDSYMorigof]{\origof} \\ \K[\FDSYMmultimap]{\multimap} & \K[\FDSYMnmidcir]{\nmidcir} & \\ \end{tabular} \end{center} \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Pitchforks} \index{binary relations} \index{relational symbols>binary} \index{pitchforks} \label{fdsym-pitchforks} \begin{tabular}{*3{ll}} \K[\FDSYMdownpitchfork]\downpitchfork & \K[\FDSYMnleftpitchfork]\nleftpitchfork & \K[\FDSYMrightpitchfork]\rightpitchfork \\ \K[\FDSYMleftpitchfork]\leftpitchfork & \K[\FDSYMnrightpitchfork]\nrightpitchfork & \K[\FDSYMuppitchfork]\uppitchfork \\ \K[\FDSYMndownpitchfork]\ndownpitchfork & \K[\FDSYMnuppitchfork]\nuppitchfork & \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines \cmdI[\string\FDSYMnpitchfork]{\npitchfork} as a synonym for \cmdI[\string\FDSYMnuppitchfork]{\nuppitchfork} and \cmdI[\string\FDSYMpitchfork]{\pitchfork} as a synonym for \cmdI[\string\FDSYMuppitchfork]{\uppitchfork}. \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Smiles and Frowns} \index{binary relations} \index{relational symbols>binary} \idxboth{smile}{symbols} \idxboth{frown}{symbols} \label{fdsym-smile-frown} \begin{tabular}{*3{ll}} \K[\FDSYMfrown]\frown & \K[\FDSYMnfrowneq]\nfrowneq & \K[\FDSYMnsmilefrown]\nsmilefrown \\ \K[\FDSYMfrowneq]\frowneq & \K[\FDSYMnfrownsmile]\nfrownsmile & \K[\FDSYMsmile]\smile \\ \K[\FDSYMfrownsmile]\frownsmile & \K[\FDSYMnsmile]\nsmile & \K[\FDSYMsmileeq]\smileeq \\ \K[\FDSYMnfrown]\nfrown & \K[\FDSYMnsmileeq]\nsmileeq & \K[\FDSYMsmilefrown]\smilefrown \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines \cmdI[\string\FDSYMarceq]{\arceq} as a synonym for \cmdI[\string\FDSYMfrowneq]{\frowneq}, \cmdI[\string\FDSYMasymp]{\asymp} as a synonym for \cmdI[\string\FDSYMsmilefrown]{\smilefrown}, \cmdI[\string\FDSYMclosure]{\closure} as a synonym for \cmdI[\string\FDSYMfrownsmile]{\frownsmile}, \cmdI[\string\FDSYMnarceq]{\narceq} as a synonym for \cmdI[\string\FDSYMnfrowneq]{\nfrowneq}, \cmdI[\string\FDSYMnasymp]{\nasymp} as a synonym for \cmdI[\string\FDSYMnsmilefrown]{\nsmilefrown}, \cmdI[\string\FDSYMnclosure]{\nclosure} as a synonym for \cmdI[\string\FDSYMnfrownsmile]{\nfrownsmile}, \cmdI[\string\FDSYMsmallfrown]{\smallfrown} as a synonym for \cmdI[\string\FDSYMfrown]{\frown}, and \cmdI[\string\FDSYMsmallsmile]{\smallsmile} as a synonym for \cmdI[\string\FDSYMsmile]{\smile}. \end{tablenote} \end{symtable} \begin{symtable}[HWMATH]{\HWMATH\ Brooms and Pitchforks} \index{brooms} \index{pitchforks} \label{hwmath-brooms} \begin{tabular}{llll} \X\hmleftpitchfork & \X\leftbroom \\ \X\hmrightpitchfork & \X\rightbroom \\ \end{tabular} \end{symtable} \begin{symtable}[ULSY]{\ULSY\ Contradiction Symbols} \idxboth{contradiction}{symbols} \label{ulsy} \medskip \begin{tabular}{*6{ll}} \K\blitza & \K\blitzb & \K\blitzc & \K\blitzd & \K\blitze \\ \end{tabular} \end{symtable} \begin{symtable}{Extension Characters} \index{extension characters} \label{ext} \begin{tabular}{*2{ll}} \X\relbar & \X\Relbar \\ \end{tabular} \end{symtable} \begin{symtable}[ST]{\ST\ Extension Characters} \index{extension characters} \label{st-ext} \begin{tabular}{*3{ll}} \X\Arrownot &\X\Mapsfromchar &\X\Mapstochar \\ \X\arrownot &\X\mapsfromchar \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Extension Characters} \index{extension characters} \label{txpx-ext} \begin{tabular}{*3{ll}} \X\Mappedfromchar & \X\Mmappedfromchar & \X\Mmapstochar \\ \X\mappedfromchar & \X\mmappedfromchar & \X\mmapstochar \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Extension Characters} \index{extension characters} \label{abx-ext} \begin{tabular}{*3{ll}} \X[\ABXmapsfromchar]\mapsfromchar & \X[\ABXmapstochar]\mapstochar \\ \X[\ABXMapsfromchar]\Mapsfromchar & \X[\ABXMapstochar]\Mapstochar \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Extension Characters} \index{extension characters} \label{stix-ext} \begin{tabular}{*3{ll}} \K[\STIXlhook]\lhook & \K[\STIXrelbar]\relbar & \K[\STIXRRelbar]\RRelbar \\ \K[\STIXmapsfromchar]\mapsfromchar & \K[\STIXRelbar]\Relbar & \K[\STIXRrelbar]\Rrelbar \\ \K[\STIXmapstochar]\mapstochar & \K[\STIXrhook]\rhook & \\ \end{tabular} \end{symtable} \begin{symtable}{Log-like Symbols} \idxboth{log-like}{symbols} \index{atomic math objects} \index{limits} \index{trigonometric functions} \label{log} \begin{tabular}{*8l} \Z\arccos & \Z\cos & \Z\csc & \Z\exp & \Z\ker & \Z\limsup & \Z\min & \Z\sinh \\ \Z\arcsin & \Z\cosh & \Z\deg & \Z\gcd & \Z\lg & \Z\ln & \Z\Pr & \Z\sup \\ \Z\arctan & \Z\cot & \Z\det & \Z\hom & \Z\lim & \Z\log & \Z\sec & \Z\tan \\ \Z\arg & \Z\coth & \Z\dim & \Z\inf & \Z\liminf & \Z\max & \Z\sin & \Z\tanh \end{tabular} \bigskip \begin{tablenote} Calling the above ``symbols'' may be a bit misleading.\footnotemark{} Each log-like symbol merely produces the eponymous textual equivalent, but with proper surrounding spacing. See \ref{math-spacing} for more information about log-like symbols. As \cmd{\bmod} and \cmd{\pmod} are arguably not symbols we refer the reader to the Short Math Guide for \latex~\cite{Downes:smg} for samples. \end{tablenote} \end{symtable} \footnotetext{Michael\index{Downes, Michael J.} J. Downes prefers the more general term, ``atomic\index{atomic math objects} math objects''.} \begin{symtable}[AMS]{\AMS\ Log-like Symbols} \idxboth{log-like}{symbols} \index{atomic math objects} \index{limits} \label{ams-log} \renewcommand{\arraystretch}{1.5} % Keep tall symbols from touching. \begin{tabular}{*2{ll@{\qquad}}ll} \X\injlim & \X\varinjlim & \X\varlimsup \\ \X\projlim & \X\varliminf & \X\varprojlim \end{tabular} \bigskip \begin{tablenote} Load the \pkgname{amsmath} package to get these symbols. See \ref{math-spacing} for some additional comments regarding log-like symbols. As \cmd{\mod} and \cmd{\pod} are arguably not symbols we refer the reader to the Short Math Guide for \latex~\cite{Downes:smg} for samples. \end{tablenote} \end{symtable} \begin{symtable}[MISMATH]{\MISMATH\ Log-like Symbols} \idxboth{log-like}{symbols} \index{atomic math objects} \index{trigonometric functions} \label{mismath-log} \renewcommand{\arraystretch}{1.4} % Keep tall symbols from touching. \begin{tabular}{*3{ll@{\hspace*{3em}}}ll} \X[\MISMadj]\adj & \X[\MISMConv]\Conv & \X[\MISMid]\id & \X[\MISMsech]\sech \\ \X[\MISMarccot]\arccot & \X[\MISMCov]\Cov & \X[\MISMId]\Id & \X[\MISMsgn]\sgn \\ \X[\MISMarcosh]\arcosh & \X[\MISMcov]\cov & \X[\MISMim]\im & \X[\MISMspa]\spa \\ \X[\MISMarcoth]\arcoth & \X[\MISMcsch]\csch & \X[\MISMIm]\Im$^*$ & \X[\MISMtr]\tr \\ \X[\MISMarcsch]\arcsch & \X[\MISMcurl]\curl & \X[\MISMlb]\lb & \X[\MISMVar]\Var \\ \X[\MISMarsech]\arsech & \X[\MISMdivg]\divg & \X[\MISMlcm]\lcm & \X[\MISMZu]\Zu \\ \X[\MISMarsinh]\arsinh & \X[\MISMEnd]\End & \X[\MISMrank]\rank & \\ \X[\MISMartanh]\artanh & \X[\MISMerf]\erf & \X[\MISMRe]\Re$^*$ & \\ \X[\MISMAut]\Aut & \X[\MISMgrad]\grad & \X[\MISMrot]\rot & \\ \end{tabular} \bigskip \begin{tablenote}[*] \MISMATH\ renames \LaTeX's \cmdX{\Re} and \cmdX{\Im} (\ref{letter-like}) to \cmdI[$\Re$]{\oldRe} and \cmdI[$\Im$]{\oldIm}. \end{tablenote} \end{symtable} \begin{symtable}[MISMATH]{\MISMATH\ Asymptotic Notation} \index{asymptotic notation} \index{big O notation} \index{Bachmann–Landau notation} \label{mismath-asymp} \begin{tabular}{*2{ll@{\hspace*{3em}}}ll} \X[\MISMbigo]\bigo & \X[\MISMbigO]\bigO & \X[\MISMlito]\lito \\ \end{tabular} \end{symtable} \begin{symtable}[CHINA]{\CHINA\ Number Sets} \label{china-numsets} \begin{tabular}{*5{ll}} \K\Complex & \K\Integer & \K\Natural & \K\Rational & \K\Real \\ \K\COMPLEX & \K\INTEGER & \K\NATURAL & \K\RATIONAL & \K\REAL \\ \end{tabular} \end{symtable} \begin{symtable}{Greek Letters} \index{Greek>letters} \index{alphabets>Greek} \label{greek} \begin{tabular}{*8l} \X\alpha &\X\theta &\X o &\X\tau \\ \X\beta &\X\vartheta &\X\pi &\X\upsilon \\ \X\gamma &\X\iota &\X\varpi &\X\phi \\ \X\delta &\X\kappa &\X\rho &\X\varphi \\ \X\epsilon &\X\lambda &\X\varrho &\X\chi \\ \X\varepsilon &\X\mu &\X\sigma &\X\psi \\ \X\zeta &\X\nu &\X\varsigma &\X\omega \\ \X\eta &\X\xi \\ \\ \X\Gamma &\X\Lambda &\X\Sigma &\X\Psi \\ \X\Delta &\X\Xi &\X\Upsilon &\X\Omega \\ \X\Theta &\X\Pi &\X\Phi \end{tabular} \bigskip \begin{tablenote} The remaining Greek majuscules\index{majuscules} can be produced with ordinary Latin letters. The symbol ``M'', for instance, is used for both an uppercase ``m'' and an uppercase ``$\mu$''. To make available commands for \emph{all} of the Greek majuscules\index{majuscules}, either use the \pkgname{mathspec} package, which requires \xelatex, or copy \hfilename{http://mirror.ctan.org/macros/xetex/latex/mathspec/mathspec.sty}{mathspec.sty}'s Greek-letter definitions to your document's preamble: \newcommand{\dms}[3]{% \ttfamily \string\DeclareMathSymbol\string{\cmdI[#2]{#1}\string}% \string{\string\mathalpha\string}\string{operators\string}\string{"#3\string}% }% \hspace*{\normalparindent}% \begin{tabular}{@{}l@{}} \dms{\Alpha}{A}{41} \\ \dms{\Beta}{B}{42} \\ \dms{\Epsilon}{E}{45} \\ \dms{\Zeta}{Z}{5A} \\ \dms{\Eta}{H}{48} \\ \dms{\Iota}{I}{49} \\ \dms{\Kappa}{K}{4B} \\ \dms{\Mu}{M}{4D} \\ \dms{\Nu}{N}{4E} \\ \dms{\Omicron}{O}{4F} \\ \dms{\Rho}{P}{50} \\ \dms{\Tau}{T}{54} \\ \dms{\Chi}{X}{58} \\ \ttfamily \string\DeclareMathSymbol\string{\cmdI[o]{\omicron}\string}% \string{\string\mathord\string}\string{letters\string}\string{"6F\string} \\ \end{tabular} See \ref{bold-math} for examples of how to produce bold Greek letters.\index{Greek>bold}\index{Greek>letters} The symbols in this table are intended to be used in mathematical typesetting. \greekfontmessage. \end{tablenote} \end{symtable} \begin{symtable}[AMS]{\AMS\ Greek Letters} \index{Greek>letters} \index{alphabets>Greek} \label{ams-greek} \begin{tabular}{*4l} \X\digamma &\X\varkappa \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Upright Greek Letters} \index{alphabets>Greek} \index{Greek>upright} \index{Greek>letters} \index{upright Greek letters} \label{txpx-greek} \begin{tabular}{*4{ll}} \X\alphaup & \X\thetaup & \X\piup & \X\phiup \\ \X\betaup & \X\varthetaup & \X\varpiup & \X\varphiup \\ \X\gammaup & \X\iotaup & \X\rhoup & \X\chiup \\ \X\deltaup & \X\kappaup & \X\varrhoup & \X\psiup \\ \X\epsilonup & \X\lambdaup & \X\sigmaup & \X\omegaup \\ \X\varepsilonup & \X\muup & \X\varsigmaup \\ \X\zetaup & \X\nuup & \X\tauup \\ \X\etaup & \X\xiup & \X\upsilonup \\ \end{tabular} \bigskip \begin{tablenote} The symbols in this table are intended to be used sporadically throughout a document (e.g.,~to represent mathematical units or numerical quantities---``$\piup$~{\usefont{OMS}{txsy}{m}{n}\char"19} {\usefont{OT1}{txr}{m}{n}3.14159}''). In contrast, \greekfontmessage. \end{tablenote} \end{symtable} \begin{symtable}[UPGR]{\UPGR\ Upright Greek Letters} \index{alphabets>Greek} \index{Greek>upright} \index{Greek>letters} \index{upright Greek letters} \label{upgreek-greek} \begin{tabular}{*4{ll}} \K\upalpha & \K\uptheta & \K\uppi & \K\upphi \\ \K\upbeta & \K\upvartheta & \K\upvarpi & \K\upvarphi \\ \K\upgamma & \K\upiota & \K\uprho & \K\upchi \\ \K\updelta & \K\upkappa & \K\upvarrho & \K\uppsi \\ \K\upepsilon & \K\uplambda & \K\upsigma & \K\upomega \\ \K\upvarepsilon & \K\upmu & \K\upvarsigma \\ \K\upzeta & \K\upnu & \K\uptau \\ \K\upeta & \K\upxi & \K\upupsilon \\ \\ \K\Upgamma & \K\Uplambda & \K\Upsigma & \K\Uppsi \\ \K\Updelta & \K\Upxi & \K\Upupsilon & \K\Upomega \\ \K\Uptheta & \K\Uppi & \K\Upphi \\ \end{tabular} \bigskip \begin{tablenote} \UPGR\ utilizes upright Greek characters from either Euler\index{Euler Roman} Roman (depicted above) or the \postscript \PSfont{Symbol} font. As a result, the glyphs may appear slightly different from the above. Contrast, for example, ``\Upgamma\Updelta\Uptheta\upalpha\upbeta\upgamma''~(Euler) with ``{\usefont{U}{psy}{m}{n}GDQabg}''~(Symbol). Also note that the \verb|\var|\dots\ forms do not always produce a distinct glyph. \ifTGRK Unlike \TGRK\ (\vref*{textgreek-greek}), \UPGR\ works in math mode. \else Unlike \TGRK, \UPGR\ works in math mode. \fi The symbols in this table are intended to be used sporadically throughout a document (e.g.,~to represent mathematical units or numerical quantities---``$\mbox{\uppi} \approx 3.14159$''). In contrast, \greekfontmessage. \end{tablenote} \end{symtable} \begin{symtable}[FOUR]{\FOUR\ Variant Greek Letters} \index{Greek>letters} \index{alphabets>Greek} \label{fourier-greek} \begin{tabular}{*2{ll}} \K[\FOURpi]\pi & \K[\FOURrho]\rho \\ \K[\FOURvarpi]\varpi & \K[\FOURvarrho]\varrho \\ \K\varvarpi & \K\varvarrho \\ \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Variant Latin Letters} \index{letters>variant Latin} \label{txpx-variant} \begin{tabular}{*3{ll@{\qquad}}ll} \X\varg & \X\varv & \X\varw & \X\vary \\ \end{tabular} \bigskip \begin{tablenote} \newcommand*{\txital}[1]{{\usefont{T1}{txr}{m}{it}#1}} Pass the \optname{txfonts/pxfonts}{varg} option to \TXPX\ to replace~\txital{g}, \txital{v}, \txital{w}, and~\txital{y} with~$\varg$, $\varv$, $\varw$, and~$\vary$ in every mathematical expression in your document. \end{tablenote} \end{symtable} \begin{symtable}[BSK]{\BSK\ Variant Greek Letters} \index{letters>variant Greek} \label{bsk-variant-greek} \begin{tabular}{*3{ll@{\qquad}}ll} \K[\BSKvarbeta]\varbeta & \K[\BSKvarkappa]\varkappa & \K[\BSKvarpi]\varpi & \K[\BSKvarsigma]\varsigma \\ \K[\BSKvarepsilon]\varepsilon & \K[\BSKvarphi]\varphi & \K[\BSKvarrho]\varrho & \K[\BSKvartheta]\vartheta \\ \end{tabular} \end{symtable} \begin{symtable}[BSK]{\BSK\ Variant Latin Letters} \index{letters>variant Latin} \label{bsk-variant-latin} \begin{tabular}{ll} \K[\BSKvarg]\varg \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Variant Greek Letters} \index{letters>variant Greek} \label{stix-variant-greek} \begin{tabular}{*3{ll@{\qquad}}ll} \K[\STIXvarepsilon]\varepsilon & \K[\STIXvarphi]\varphi & \K[\STIXvarrho]\varrho & \K[\STIXvartheta]\vartheta \\ \K[\STIXvarkappa]\varkappa & \K[\STIXvarpi]\varpi & \K[\STIXvarsigma]\varsigma & \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Transformed Greek Letters} \label{stix-xform-greek} \begin{tabular}{*2{ll@{\qquad}}ll} \K[\STIXbackepsilon]\backepsilon & \K[\STIXturnediota]\turnediota \\ \K[\STIXmho]\mho & \K[\STIXupbackepsilon]\upbackepsilon \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Hebrew Letters} \index{Hebrew}\index{alphabets>Hebrew} \label{ams-hebrew} \begin{tabular}{*6l} \X\beth & \X\gimel & \X\daleth \end{tabular} \bigskip \begin{tablenote} \cmdX{\aleph}~($\aleph$) appears in \vref{ord}. \end{tablenote} \end{symtable} \begin{symtable}[MNS]{\MNS\ Hebrew Letters} \index{Hebrew}\index{alphabets>Hebrew} \label{mns-hebrew} \begin{tabular}{*8l} \K[\MNSaleph]\aleph & \K[\MNSbeth]\beth & \K[\MNSgimel]\gimel & \K[\MNSdaleth]\daleth \\ \end{tabular} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Hebrew Letters} \index{Hebrew}\index{alphabets>Hebrew} \label{fdsym-hebrew} \begin{tabular}{*8l} \K[\FDSYMaleph]\aleph & \K[\FDSYMbeth]\beth & \K[\FDSYMgimel]\gimel & \K[\FDSYMdaleth]\daleth \\ \end{tabular} \end{symtable} \begin{symtable}[BSK]{\BSK\ Hebrew Letters} \index{Hebrew}\index{alphabets>Hebrew} \label{bsk-hebrew} \begin{tabular}{*8l} \K[\BSKbeth]\beth & \K[\BSKgimel]\gimel & \K[\BSKdaleth]\daleth \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Hebrew Letters} \index{Hebrew}\index{alphabets>Hebrew} \label{stix-hebrew} \begin{tabular}{*4{ll}} \K[\STIXaleph]\aleph & \K[\STIXbeth]\beth & \K[\STIXgimel]\gimel & \K[\STIXdaleth]\daleth \\ \end{tabular} \end{symtable} \begin{symtable}{Letter-like Symbols} \idxboth{letter-like}{symbols} \index{tacks} \idxboth{linear logic}{symbols} \label{letter-like} \begin{tabular}{*5{ll}} \X\bot & \X\forall & \X\imath & \X\ni & \X\top \\ \X\ell & \X\hbar & \X\in & \X\partial & \X\wp \\ \X\exists & \X\Im & \X\jmath & \X\Re \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Letter-like Symbols} \idxboth{letter-like}{symbols} \label{ams-letter-like} \begin{tabular}{*3{ll}} \X\Bbbk & \X\complement & \X\hbar \\ \X\circledR & \X\Finv & \X\hslash \\ \X\circledS & \X\Game & \X\nexists \\ \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Letter-like Symbols} \idxboth{letter-like}{symbols} \label{txpx-letter-like} \begin{tabular}{*4{ll}} \X\mathcent & \X[\TXmathsterling]\mathsterling$^*$ & \X\notin & \X\notni \\ \end{tabular} \bigskip \usetextmathmessage[*] \end{symtable} \begin{symtable}[ABX]{\ABX\ Letter-like Symbols} \idxboth{letter-like}{symbols} \label{abx-letter-like} \begin{tabular}{*4{ll}} \X[\ABXbarin]\barin & \X[\ABXin]\in & \X[\ABXnottop]\nottop & \X[\ABXvarnotin]\varnotin \\ \X[\ABXcomplement]\complement & \X[\ABXnexists]\nexists & \X[\ABXowns]\owns & \X[\ABXvarnotowner]\varnotowner \\ \X[\ABXexists]\exists & \X[\ABXnotbot]\notbot & \X[\ABXownsbar]\ownsbar \\ \X[\ABXFinv]\Finv & \X[\ABXnotin]\notin & \X[\ABXpartial]\partial \\ \X[\ABXGame]\Game & \X[\ABXnotowner]\notowner & \X[\ABXpartialslash]\partialslash \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Letter-like Symbols} \idxboth{letter-like}{symbols} \idxboth{linear logic}{symbols} \label{mns-letter-like} \begin{tabular}{*4{ll}} \K[\MNSbot]\bot & \K[\MNSin]\in & \K[\MNSnowns]\nowns$^*$ & \K[\MNStop]\top \\ \K[\MNSexists]\exists & \K[\MNSnexists]\nexists & \K[\MNSowns]\owns & \K[\MNSwp]\wp \\ \K[\MNSforall]\forall & \K[\MNSnin]\nin$^*$ & \K[\MNSpowerset]\powerset \\ \end{tabular} \bigskip \begin{tablenote}[*] \MNS\ provides synonyms \cmdI[\MNSnin]{\notin} for \cmdI[\MNSnin]{\nin}, \cmdI[\MNSowns]{\ni} for \cmdI[\MNSowns]{\owns}, and \cmdI[\MNStop]{\intercal} for \cmdI[\MNStop]{\top}. \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Letter-like Symbols} \idxboth{letter-like}{symbols} \idxboth{linear logic}{symbols} \label{fdsym-letter-like} \begin{tabular}{*4{ll}} \K[\FDSYMbot]\bot & \K[\FDSYMforall]\forall & \K[\FDSYMin]\in & \K[\FDSYMowns]\owns \\ \K[\FDSYMcomplement]\complement & \K[\FDSYMGame]\Game & \K[\FDSYMnexists]\nexists & \K[\FDSYMtop]\top \\ \K[\FDSYMexists]\exists & \K[\FDSYMhbar]\hbar & \K[\FDSYMnin]\nin & \K[\FDSYMwp]\wp \\ \K[\FDSYMFinv]\Finv & \K[\FDSYMhslash]\hslash & \K[\FDSYMnowns]\nowns & \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ provides synonyms \cmdI[\FDSYMnin]{\notin} for \cmdI[\FDSYMnin]{\nin}, \cmdI[\FDSYMowns]{\ni} for \cmdI[\FDSYMowns]{\owns}, and \cmdI[\FDSYMowns]{\nni} for \cmdI[\FDSYMowns]{\nowns}. \end{tablenote} \end{symtable} \begin{symtable}[BSK]{\BSK\ Letter-like Symbols} \idxboth{letter-like}{symbols} \idxboth{linear logic}{symbols} \label{bsk-letter-like} \begin{tabular}{*4{ll}} \K[\BSKBbbk]\Bbbk & \K[\BSKGame]\Game & \K[\BSKimath]\imath & \K[\BSKnexists]\nexists \\ \K[\BSKcomplement]\complement & \K[\BSKhbar]\hbar & \K[\BSKintercal]\intercal & \K[\BSKwp]\wp \\ \K[\BSKFinv]\Finv & \K[\BSKhslash]\hslash & \K[\BSKjmath]\jmath & \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Letter-like Symbols} \idxboth{letter-like}{symbols} \idxboth{linear logic}{symbols} \label{stix-letter-like} \begin{tabular}{*4{ll}} \K[\STIXAngstrom]\Angstrom & \K[\STIXEulerconst]\Eulerconst & \K[\STIXimath]\imath & \K[\STIXtop]\top \\ \K[\STIXBbbk]\Bbbk & \K[\STIXexists]\exists & \K[\STIXintercal]\intercal & \K[\STIXtopbot]\topbot \\ \K[\STIXbot]\bot & \K[\STIXFinv]\Finv & \K[\STIXjmath]\jmath & \K[\STIXwp]\wp \\ \K[\STIXcircledR]\circledR & \K[\STIXforall]\forall & \K[\STIXmathdollar]\mathdollar & \K[\STIXYup]\Yup \\ \K[\STIXcircledS]\circledS & \K[\STIXGame]\Game & \K[\STIXmathparagraph]\mathparagraph & \K[\STIXZbar]\Zbar \\ \K[\STIXcomplement]\complement & \K[\STIXhbar]\hbar & \K[\STIXmathsterling]\mathsterling & \\ \K[\STIXdigamma]\digamma & \K[\STIXhslash]\hslash & \K[\STIXnexists]\nexists & \\ \K[\STIXell]\ell & \K[\STIXIm]\Im & \K[\STIXRe]\Re & \\ \end{tabular} \end{symtable} \begin{symtable}[TRF]{\TRF\ Letter-like Symbols} \idxboth{letter-like}{symbols} \label{trf-letter-like} \begin{tabular}{ll@{\qqquad}ll} \X\e & \X\im \\ \end{tabular} \end{symtable} \begin{symtable}[MDES]{\MDES\ Letter-like Symbols} \idxboth{letter-like}{symbols} \label{mdes-letter-like} \begin{tabular}{*2{ll}} \K[\MDESin]\in & \K[\MDESowns]\owns \\ \K[\MDESnotin]\notin & \K[\MDESsmallin]\smallin \\ \K[\MDESnotsmallin]\notsmallin & \K[\MDESsmallowns]\smallowns \\ \K[\MDESnotsmallowns]\notsmallowns & \\ \end{tabular} \bigskip \begin{tablenote} \ifAMS The \MDES\ package additionally provides versions of each of the letter-like symbols shown in \vref{ams-letter-like}. \else The \MDES\ package additionally provides versions of each of the \AMS\ letter-like symbols. \fi \end{tablenote} \end{symtable} \begin{symtable}[FGE]{\FGE\ Letter-like Symbols} \idxboth{letter-like}{symbols} \idxboth{Frege logic}{symbols} \label{fge-letter-like} \begin{tabular}{*3{ll@{\qqquad}}ll} \K\fgeA & \K\fgeeszett & \K\fgeleftB & \K\fgeU \\ \K\fgec & \K\fgeF & \K\fgeleftC & \\ \K\fged & \K\fgef & \K\fgerightB & \\ \K\fgee & \K\fgelb$^*$ & \K\fges & \\ \end{tabular} \bigskip \begin{tablenote}[*] The \FGE\ package defines \cmdI[\fgelb]{\fgeeta}, \cmdI[\fgelb]{\fgeN}, and \cmdI[\fgelb]{\fgeoverU} as synonyms for \cmd{\fgelb}. \end{tablenote} \end{symtable} \begin{symtable}[FOUR]{\FOUR\ Letter-like Symbols} \idxboth{letter-like}{symbols} \label{fourier-letter-like} \begin{tabular}{*2{ll}} \K[\FOURpartial]\partial & \K\varpartialdiff \\ \end{tabular} \end{symtable} \begin{symtable}[CMLL]{\CMLL\ Letter-like Symbols} \idxboth{letter-like}{symbols} \label{cmll-letter-like} \begin{tabular}{ll@{\qquad}ll} \K[\CMLLBot]\Bot & \K[\CMLLsimbot]\simbot \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Delimiters} \index{delimiters} \label{ams-del} \begin{tabular}{*2{ll}} \X\ulcorner & \X\urcorner \\ \X\llcorner & \X\lrcorner \end{tabular} \end{symtable} \begin{symtable}[ST]{\ST\ Delimiters} \index{delimiters} \label{st-del} \begin{tabular}{*4{ll}} \X\Lbag &\X\Rbag &\X\lbag &\X\rbag \\ \X\llceil &\X\rrceil &\X\llfloor &\X\rrfloor \\ \X\llparenthesis &\X\rrparenthesis \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Delimiters} \index{delimiters} \label{abx-del} \begin{tabular}{ll@{\hspace*{2em}}ll} \X[\ABXlcorners]\lcorners & \X[\ABXrcorners]\rcorners \\[3ex] \X[\ABXulcorner]\ulcorner & \X[\ABXurcorner]\urcorner \\ \X[\ABXllcorner]\llcorner & \X[\ABXlrcorner]\lrcorner \\ \end{tabular} \end{symtable} \begin{symtable}[BSK]{\BSK\ Delimiters} \index{delimiters} \label{bsk-del} \begin{tabular}{*2{ll}} \K[\BSKulcorner]\ulcorner & \K[\BSKurcorner]\urcorner \\ \K[\BSKllcorner]\llcorner & \K[\BSKlrcorner]\lrcorner \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Delimiters} \index{delimiters} \label{stix-del} \begin{tabular}{llll@{\qqquad}llll} \K[\STIXlangledot]\langledot & \K[\STIXrangledot]\rangledot & \K[\STIXllangle]\llangle & \K[\STIXrrangle]\rrangle \\ \K[\STIXlbag]\lbag & \K[\STIXrbag]\rbag & \K[\STIXllcorner]\llcorner & \K[\STIXlrcorner]\lrcorner \\ \K[\STIXlblkbrbrak]\lblkbrbrak & \K[\STIXrblkbrbrak]\rblkbrbrak & \K[\STIXllparenthesis]\llparenthesis & \K[\STIXrrparenthesis]\rrparenthesis \\ \K[\STIXlbracklltick]\lbracklltick & \K[\STIXrbrackurtick]\rbrackurtick & \K[\STIXLparengtr]\Lparengtr & \K[\STIXRparenless]\Rparenless \\ \K[\STIXlbrackubar]\lbrackubar & \K[\STIXrbrackubar]\rbrackubar & \K[\STIXlparenless]\lparenless & \K[\STIXrparengtr]\rparengtr \\ \K[\STIXlbrackultick]\lbrackultick & \K[\STIXrbracklrtick]\rbracklrtick & \K[\STIXlvzigzag]\lvzigzag & \K[\STIXrvzigzag]\rvzigzag \\ \K[\STIXLbrbrak]\Lbrbrak & \K[\STIXRbrbrak]\Rbrbrak & \K[\STIXLvzigzag]\Lvzigzag & \K[\STIXRvzigzag]\Rvzigzag \\ \K[\STIXlcurvyangle]\lcurvyangle & \K[\STIXrcurvyangle]\rcurvyangle & \K[\STIXulcorner]\ulcorner & \K[\STIXurcorner]\urcorner \\ \end{tabular} \end{symtable} \begin{symtable}[NATH]{\NATH\ Delimiters} \index{delimiters} \label{nath-del} \begin{tabular}{ll@{\qqquad}ll} \X\niv & \X\vin \\ \end{tabular} \end{symtable} \begin{symtable}{Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \label{dels} \renewcommand{\arraystretch}{1.75} % Keep tall symbols from touching. \begin{tabular}{lll@{\qquad}lll@{\hspace*{1.5cm}}lll@{\qquad}lll} \N\downarrow & \N\Downarrow & \N{[} & \N[\magicrbrack]{]} \\ \N\langle & \N\rangle & \Np[\vert][\magicvertname]| & \Np[\Vert][\magicVertname]\| \\ \N\lceil & \N\rceil & \N\uparrow & \N\Uparrow \\ \N\lfloor & \N\rfloor & \N\updownarrow & \N\Updownarrow \\ \N( & \N) & \Np\{ & \Np\} \\ \N/ & \N\backslash \\ \end{tabular} \bigskip \begin{tablenote} When used with \cmd{\left} and \cmd{\right}, these symbols expand to the height of the enclosed math expression. Note that \cmdX{\vert} is a synonym for \verb+|+\index{_=\magicvertname{} ($\vert$)}, and \cmdX{\Vert} is a synonym for \verb+\|+\index{_=\magicVertname{} ($\Vert$)}. $\varepsilon$-\TeX{}\index{e-tex=$\varepsilon$-\TeX} provides a \cmd{\middle} analogue to \cmd{\left} and \cmd{\right}. \cmd{\middle} can be used, for example, to make an internal ``$|$'' expand to the height of the surrounding \cmd{\left} and \cmd{\right} symbols. (This capability is commonly needed when typesetting adjacent bras\index{bra} and kets\index{ket} in Dirac\index{Dirac notation} notation: ``$\langle\phi\vert\psi\rangle$''). A similar effect can be achieved in conventional \latex using the \pkgname{braket} package. \end{tablenote} \end{symtable} \begin{symtable}{Large, Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \index{braces} \label{ldels} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{*3{lll@{\qquad}}lll} \Y\lmoustache & \Y\rmoustache & \Y\lgroup & \Y\rgroup \\ \Y\arrowvert & \Y\Arrowvert & \Y\bracevert \end{tabular} \bigskip \begin{tablenote} These symbols \emph{must} be used with \cmd{\left} and \cmd{\right}. The \ABX\ package, however, redefines \cmdI[$\string\big\string\lgroup$]{\lgroup} and \cmdI[$\string\big\string\rgroup$]{\rgroup} so that those symbols can work without \cmd{\left} and \cmd{\right}. \end{tablenote} \end{symtable} \begin{symtable}[AMS]{\AMS\ Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \label{ams-var-del} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{lll@{\qquad}lll} \N\lvert & \N\rvert \\ \N\lVert & \N\rVert \\ \end{tabular} \bigskip \begin{tablenote} According to the \texttt{amsmath} documentation~\cite{AMS1999:amsmath}, the preceding symbols are intended to be used as delimiters (e.g.,~as in ``$\lvert -z \rvert$'') while the \cmdX{\vert} and \cmdX{\Vert} symbols (\vref*{dels}) are intended to be used as operators (e.g.,~as in ``$p \vert q$''). \end{tablenote} \end{symtable} \begin{symtable}[ST]{\ST\ Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \index{semantic valuation} \label{st-var-del} \begin{tabular}{lll@{\qquad}lll} \N\llbracket & \N\rrbracket \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \idxboth{wavy-line}{delimiters} \index{semantic valuation} \label{abx-var-dels} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{lll@{\qquad}lll} \N[\ABXldbrack]\ldbrack & \N[\ABXrdbrack]\rdbrack \\ \Nbig[\ABXlfilet]\lfilet & \Nbig[\ABXrfilet]\rfilet \\ \N[\ABXthickvert]\thickvert & \N[\ABXvvvert]\vvvert \\ \end{tabular} \end{symtable} \begin{longsymtable}[MNS]{\MNS\ Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \index{braces} \idxboth{wavy-line}{delimiters} \label{mns-var-dels} \renewcommand{\arraystretch}{3} % Keep tall symbols from touching. \begin{longtable}{lll*2{@{\qquad}lll}} \multicolumn{9}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[0ex] \multicolumn{9}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \KNbig[\MNStArrowvert][\MNSdArrowvert]\Arrowvert & \KNbig[\MNStlbrace][\MNSdlbrace]\lbrace & \KNbig[\MNStrceil][\MNSdrceil]\rceil \\ \KNbig[\MNStarrowvert][\MNSdarrowvert]\arrowvert & \KNbig[\MNStlceil][\MNSdlceil]\lceil & \KNbig[\MNStrfloor][\MNSdrfloor]\rfloor \\ \KNbig[\MNStbackslash][\MNSdbackslash]\backslash & \KNbig[\MNStlfloor][\MNSdlfloor]\lfloor & \KNbig[\MNStrgroup][\MNSdrgroup]\rgroup \\ \KNbig[\MNStbracevert][\MNSdbracevert]\bracevert & \KNbig[\MNStlgroup][\MNSdlgroup]\lgroup & \KNbig[\MNStrmoustache][\MNSdrmoustache]\rmoustache \\ \KNbig[\MNStlbracket][\MNSdlbracket]{[} & \KNbig[\MNStllangle][\MNSdllangle]\llangle & \KNbig[\MNStrrangle][\MNSdrrangle]\rrangle \\ \KNbig[\MNStrbracket][\MNSdrbracket]{]} & \KNbig[\MNStllcorner][\MNSdllcorner]\llcorner & \KNbig[\MNStrsem][\MNSdrsem]\rsem \\ \KNbig[\MNStlparen][\MNSdlparen]( & \KNbig[\MNStlmoustache][\MNSdlmoustache]\lmoustache & \KNbig[\MNStrWavy][\MNSdrWavy]\rWavy \\ \KNbig[\MNStrparen][\MNSdrparen]) & \KNbig[\MNStlrcorner][\MNSdlrcorner]\lrcorner & \KNbig[\MNStrwavy][\MNSdrwavy]\rwavy \\ \KNbig[\MNStslash][\MNSdslash]/ & \KNbig[\MNStlsem][\MNSdlsem]\lsem & \KNbig[\MNStulcorner][\MNSdulcorner]\ulcorner \\ \KNbig[\MNStless][\MNSdless]< & \KNbig[\MNStlwavy][\MNSdlwavy]\lwavy & \KNbig[\MNStullcorner][\MNSdullcorner]\ullcorner \\ \KNbig[\MNStgreater][\MNSdgreater]> & \KNbig[\MNStlWavy][\MNSdlWavy]\lWavy & \KNbig[\MNStulrcorner][\MNSdulrcorner]\ulrcorner \\ \let\indexcommand=\indexpunct % Hack to make the "|" symbol index properly \KNbig[\MNStvert][\MNSdvert]| & \KNbig[\MNStrangle][\MNSdrangle]\rangle & \KNbig[\MNSturcorner][\MNSdurcorner]\urcorner \\ \KNbig[\MNStlangle][\MNSdlangle]\langle & \KNbig[\MNStranglebar][\MNSdranglebar]\ranglebar & \KNbig[\MNStVert][\MNSdVert]\| \\ \KNbig[\MNStlanglebar][\MNSdlanglebar]\langlebar & \KNbig[\MNStrbrace][\MNSdrbrace]\rbrace & \\ \end{longtable} \bigskip \begin{tablenote} \cmdX{\vert} is a synonym for \verb+|+\index{_=\magicvertname{} ($\vert$)}. \cmdX{\Vert} is a synonym for \verb+\|+\index{_=\magicVertname{} ($\Vert$)}. \cmdX{\mid} and \verb|\mvert| produce the same symbol as \cmdX{\vert} but designated as math relations instead of ordinals. \verb|\divides| produces the same symbol as \cmdX{\vert} but designated as a binary operator instead of an ordinal. \cmdX{\parallel} and \verb|\mVert| produce the same symbol as \cmdX{\Vert} but designated as math relations instead of ordinals. \end{tablenote} \end{longsymtable} \begin{longsymtable}[FDSYM]{\FDSYM\ Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \index{braces} \idxboth{wavy-line}{delimiters} \label{fdsym-var-dels} \renewcommand{\arraystretch}{3} % Keep tall symbols from touching. \begin{longtable}{lll*2{@{\qquad}lll}} \multicolumn{9}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[0ex] \multicolumn{9}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \KNbig[\FDSYMtbackslash][\FDSYMdbackslash]\backslash & \KNbig[\FDSYMtlrcorner][\FDSYMdlrcorner]\lrcorner & \KNbig[\FDSYMtrparen][\FDSYMdrparen]\rparen \\ \KNbig[\FDSYMtdownarrow][\FDSYMddownarrow]\downarrow & \KNbig[\FDSYMtlvert][\FDSYMdlvert]\lvert & \KNbig[\FDSYMtrvert][\FDSYMdrvert]\rvert \\ \KNbig[\FDSYMtDownarrow][\FDSYMdDownarrow]\Downarrow & \KNbig[\FDSYMtlVert][\FDSYMdlVert]\lVert & \KNbig[\FDSYMtrVert][\FDSYMdrVert]\rVert \\ \KNbig[\FDSYMtlAngle][\FDSYMdlAngle]\lAngle & \KNbig[\FDSYMtlVvert][\FDSYMdlVvert]\lVvert & \KNbig[\FDSYMtrVvert][\FDSYMdrVvert]\rVvert \\ \KNbig[\FDSYMtlangle][\FDSYMdlangle]\langle & \KNbig[\FDSYMtmathslash][\FDSYMdmathslash]\mathslash & \KNbig[\FDSYMtulcorner][\FDSYMdulcorner]\ulcorner \\ \KNbig[\FDSYMtlangledot][\FDSYMdlangledot]\langledot & \KNbig[\FDSYMtrangle][\FDSYMdrangle]\rangle & \KNbig[\FDSYMtullcorner][\FDSYMdullcorner]\ullcorner \\ \KNbig[\FDSYMtlbrace][\FDSYMdlbrace]\lbrace & \KNbig[\FDSYMtrAngle][\FDSYMdrAngle]\rAngle & \KNbig[\FDSYMtulrcorner][\FDSYMdulrcorner]\ulrcorner \\ \KNbig[\FDSYMtlbrack][\FDSYMdlbrack]\lbrack & \KNbig[\FDSYMtrangledot][\FDSYMdrangledot]\rangledot & \KNbig[\FDSYMtuparrow][\FDSYMduparrow]\uparrow \\ \KNbig[\FDSYMtlBrack][\FDSYMdlBrack]\lBrack & \KNbig[\FDSYMtrbrace][\FDSYMdrbrace]\rbrace & \KNbig[\FDSYMtUparrow][\FDSYMdUparrow]\Uparrow \\ \KNbig[\FDSYMtlceil][\FDSYMdlceil]\lceil & \KNbig[\FDSYMtrBrack][\FDSYMdrBrack]\rBrack & \KNbig[\FDSYMtupdownarrow][\FDSYMdupdownarrow]\updownarrow \\ \KNbig[\FDSYMtlfloor][\FDSYMdlfloor]\lfloor & \KNbig[\FDSYMtrbrack][\FDSYMdrbrack]\rbrack & \KNbig[\FDSYMtUpdownarrow][\FDSYMdUpdownarrow]\Updownarrow \\ \KNbig[\FDSYMtlgroup][\FDSYMdlgroup]\lgroup & \KNbig[\FDSYMtrceil][\FDSYMdrceil]\rceil & \KNbig[\FDSYMturcorner][\FDSYMdurcorner]\urcorner \\ \KNbig[\FDSYMtllcorner][\FDSYMdllcorner]\llcorner & \KNbig[\FDSYMtrfloor][\FDSYMdrfloor]\rfloor & \KNbig[\FDSYMtvert][\FDSYMdvert]\vert \\ \KNbig[\FDSYMtlmoustache][\FDSYMdlmoustache]\lmoustache & \KNbig[\FDSYMtrgroup][\FDSYMdrgroup]\rgroup & \KNbig[\FDSYMtVert][\FDSYMdVert]\Vert \\ \KNbig[\FDSYMtlparen][\FDSYMdlparen]\lparen & \KNbig[\FDSYMtrmoustache][\FDSYMdrmoustache]\rmoustache & \KNbig[\FDSYMtVvert][\FDSYMdVvert]\Vvert \\ \end{longtable} \bigskip \begin{tablenote} \FDSYM\ defines ``\cmdIp[\string\FDSYMtlparen]('' as a synonym for \cmdI[\string\FDSYMtlparen]{\lparen}, ``\cmdIp[\string\FDSYMtrparen])'' as a synonym for \cmdI[\string\FDSYMtrparen]{\rparen}, ``\cmdIp[\string\FDSYMtlbrack]['' as a synonym for \cmdI[\string\FDSYMtlbrack]{\lbrack}, ``\cmdIp[\string\FDSYMtrbrack]]'' as a synonym for \cmdI[\string\FDSYMtrbrack]{\rbrack}, ``\verb|{|'' as a synonym for \cmdI[\string\FDSYMtlbrace]{\lbrace}, ``\verb|}|'' as a synonym for \cmdI[\string\FDSYMtrbrace]{\rbrace}, ``\cmdIp[\string\FDSYMtmathslash]/'' as a synonym for \cmdI[\string\FDSYMtmathslash]\mathslash, ``\cmdIp[\string\FDSYMtvert]|'' as a synonym for \cmdI[\string\FDSYMtvert]\vert, ``\cmdIp[\string\FDSYMtVert]\|'' as a synonym for \cmdI[\string\FDSYMtVert]\Vert, \cmdI[\string\FDSYMtlBrack]{\lsem} as a synonym for \cmdI[\string\FDSYMtlBrack]{\lBrack}, and \cmdI[\string\FDSYMtrBrack]{\rsem} as a synonym for \cmdI[\string\FDSYMtrBrack]{\rBrack}. \end{tablenote} \end{longsymtable} \begin{longsymtable}[STIX]{\STIX\ Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \index{braces} \idxboth{wavy-line}{delimiters} \label{stix-var-dels} \renewcommand{\arraystretch}{3} % Keep tall symbols from touching. \begin{longtable}{lll*2{@{\qquad}lll}} \multicolumn{9}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[0ex] \multicolumn{9}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \KNbig[\STIXtArrowvert][\STIXdArrowvert]\Arrowvert & \KNbig[\STIXtlAngle][\STIXdlAngle]\lAngle & \KNbig[\STIXtrceil][\STIXdrceil]\rceil \\ \KNbig[\STIXtarrowvert][\STIXdarrowvert]\arrowvert & \KNbig[\STIXtlbrace][\STIXdlbrace]\lbrace & \KNbig[\STIXtrfloor][\STIXdrfloor]\rfloor \\ \KNbig[\STIXtbackslash][\STIXdbackslash]\backslash & \KNbig[\STIXtlBrace][\STIXdlBrace]\lBrace & \KNbig[\STIXtrgroup][\STIXdrgroup]\rgroup \\ \KNbig[\STIXtDdownarrow][\STIXdDdownarrow]\Ddownarrow & \KNbig[\STIXtlBrack][\STIXdlBrack]\lBrack & \KNbig[\STIXtrmoustache][\STIXdrmoustache]\rmoustache \\ \KNbig[\STIXtDDownarrow][\STIXdDDownarrow]\DDownarrow & \KNbig[\STIXtlbrbrak][\STIXdlbrbrak]\lbrbrak & \KNbig[\STIXtrParen][\STIXdrParen]\rParen \\ \KNbig[\STIXtdownarrow][\STIXddownarrow]\downarrow & \KNbig[\STIXtlceil][\STIXdlceil]\lceil & \KNbig[\STIXtuparrow][\STIXduparrow]\uparrow \\ \KNbig[\STIXtDownarrow][\STIXdDownarrow]\Downarrow & \KNbig[\STIXtlfloor][\STIXdlfloor]\lfloor & \KNbig[\STIXtUparrow][\STIXdUparrow]\Uparrow \\ \KNbig[\STIXtlbracket][\STIXdlbracket]{[} & \KNbig[\STIXtlgroup][\STIXdlgroup]\lgroup & \KNbig[\STIXtUpdownarrow][\STIXdUpdownarrow]\Updownarrow \\ \KNbig[\STIXtrbracket][\STIXdrbracket]{]} & \KNbig[\STIXtlmoustache][\STIXdlmoustache]\lmoustache & \KNbig[\STIXtupdownarrow][\STIXdupdownarrow]\updownarrow \\ \KNbig[\STIXtlparen][\STIXdlparen]( & \KNbig[\STIXtlParen][\STIXdlParen]\lParen & \KNbig[\STIXtUuparrow][\STIXdUuparrow]\Uuparrow \\ \KNbig[\STIXtrparen][\STIXdrparen]) & \KNbig[\STIXtrAngle][\STIXdrAngle]\rAngle & \KNbig[\STIXtUUparrow][\STIXdUUparrow]\UUparrow \\ \KNbig[\STIXtslash][\STIXdslash]/ & \KNbig[\STIXtrangle][\STIXdrangle]\rangle & \KNbig[\STIXtVert][\STIXdVert]\Vert \\ \KNbig[\STIXtless][\STIXdless]< & \KNbig[\STIXtrbrace][\STIXdrbrace]\rbrace & \KNbig[\STIXtvert][\STIXdvert]\vert \\ \KNbig[\STIXtgreater][\STIXdgreater]> & \KNbig[\STIXtrBrace][\STIXdrBrace]\rBrace & \KNbig[\STIXtVvert][\STIXdVvert]\Vvert \\ \let\indexcommand=\indexpunct % Hack to make the "|" symbol index properly \KNbig[\STIXtbar][\STIXdbar]| & \KNbig[\STIXtrBrack][\STIXdrBrack]\rBrack & \\ \KNbig[\STIXtlangle][\STIXdlangle]\langle & \KNbig[\STIXtrbrbrak][\STIXdrbrbrak]\rbrbrak & \\ \end{longtable} \end{longsymtable} \begin{symtable}[MDES]{\MDES\ Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \idxboth{wavy-line}{delimiters} \label{mdes-var-dels} \renewcommand{\arraystretch}{2.75} % Keep tall symbols from touching. \begin{tabular}{lll@{\qquad}lll} \KNbig[\MDESleftwavelet][\MDESleftwave]\leftwave & \KNbig[\MDESleftwavelet][\MDESleftwave]\rightwave \\ \KNbig[\MDESleftevawlet][\MDESleftevaw]\leftevaw & \KNbig[\MDESleftevawlet][\MDESleftevaw]\rightevaw \\ \end{tabular} \bigskip \begin{tablenote} The definitions of these symbols include a preceding \cmd{\left} or \cmd{\right}. It is therefore an error to specify \cmd{\left} or \cmd{\right} explicitly. The internal, ``primitive'' versions of these symbols are called \cmdI[\MDESleftwave]{\lwave}, \cmdI[\MDESleftwave]{\rwave}, \cmdI[\MDESleftevaw]{\levaw}, and \cmdI[\MDESleftevaw]{\revaw}. \end{tablenote} \end{symtable} \begin{symtable}[NATH]{\NATH\ Variable-sized Delimiters (Double)} \index{delimiters} \index{delimiters>variable-sized} \index{semantic valuation} \label{nath-var-dels-double} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{lll@{\qquad}lll} \Nn[\langle]\lAngle & \Nn[\rangle]\rAngle \\ \Nn[{[}]\lBrack & \Nn[\magicrbrack]\rBrack \\ \Nn[\lceil]\lCeil & \Nn[\rceil]\rCeil \\ \Nn[\lfloor]\lFloor & \Nn[\rfloor]\rFloor \\ \Nn[\vert]\lVert$^*$ & \Nn[\vert]\rVert$^*$ \\ \end{tabular} \bigskip \begin{tablenote}[*] \NATH\ redefines all of the above to include implicit \cmd{\left} and \cmd{\right} commands. Hence, separate \verb+\lVert+ and \verb+\rVert+ commands are needed to disambiguate whether ``\verb+|+\index{_=\magicvertname{} ($\vert$)}'' is a left or right delimiter. \end{tablenote} \bigskip \begin{tablenote} All of the symbols in \ref{nath-var-dels-double} can also be expressed using the \cmd{\double} macro. See the \NATH\ documentation for examples and additional information. \end{tablenote} \end{symtable} \begin{symtable}[NATH]{\NATH\ Variable-sized Delimiters (Triple)} \index{delimiters} \index{delimiters>variable-sized} \label{nath-var-dels-triple} \renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. \begin{tabular}{lll@{\qquad}lll} \Nnt{}[\langle]< & \Nnt{}[\rangle]> \\ \Nnt{}[{[}]{[} & \Nnt{}[\magicrbrack]{]} \\ \Nnt{l}[\vert]|$^*$ & \Nnt{r}[\vert]|$^*$ \\ \end{tabular} \bigskip \begin{tablenote}[*] Similar to \verb+\lVert+ and \verb+\rVert+ in \ref{nath-var-dels-double}, \cmd{\ltriple} and \cmd{\rtriple} must be used instead of \cmd{\triple} to disambiguate whether ``\verb+|+\index{_=\magicvertname{} ($\vert$)}'' is a left or right delimiter. \end{tablenote} \bigskip \begin{tablenote} Note that \cmd{\triple}---and the corresponding \cmd{\double}---is actually a macro that takes a delimiter as an argument. \end{tablenote} \end{symtable} \begin{symtable}[FOUR]{\FOUR\ Variable-sized Delimiters} \index{delimiters} \index{delimiters>variable-sized} \index{semantic valuation} \label{fourier-var-dels} \renewcommand{\arraystretch}{2.75} % Keep tall symbols from touching. \begin{tabular}{lll@{\qquad}lll} \KNbig[\FOURtllbracket][\FOURdllbracket]\llbracket & \KNbig[\FOURtrrbracket][\FOURdrrbracket]\rrbracket \\ \KNbig[\FOURtVERT][\FOURdVERT]\VERT \\ \end{tabular} \end{symtable} \begin{symtable}{\TC\ Text-mode Delimiters} \index{delimiters} \index{delimiters>text-mode} \label{tc-delimiters} \begin{tabular}{*2{ll}} \K\textlangle & \K\textrangle \\ \K\textlbrackdbl & \K\textrbrackdbl \\ \K\textlquill & \K\textrquill \\ \end{tabular} \end{symtable} \begin{symtable}[METRE]{\METRE\ Text-mode Delimiters} \index{delimiters} \index{delimiters>text-mode} \label{metre-delimiters} \begin{tabular}{*2{ll}@{\qqquad}*2{ll}} \K\alad & \K\Alad & \K\crux & \K\Crux \\ \K\alas & \K\Alas & \K\quadrad & \K\Quadrad \\ \K\angud & \K\Angud & \K\quadras & \K\Quadras \\ \K\angus & \K\Angus \\ \end{tabular} \end{symtable} \begin{symtable}{Math-mode Accents} \index{accents} \index{accents>acute=acute (\blackacchack\')} % "Generic" \index{accents>breve=breve (\blackacchack\u)} % "Generic" \index{accents>caron=caron (\blackacchack\v)} % "Generic" \index{accents>circumflex=circumflex (\blackacchack\^)} % "Generic" \index{accents>diaeresis=di\ae{}resis (\blackacchack\")} % "Generic" \index{accents>dot=dot (\blackacchack\. or \blackacc\d)} % "Generic" \index{accents>grave=grave (\blackacchack\`)} % "Generic" \index{accents>macron=macron (\showmacron)} % "Generic" \index{accents>ring=ring (\blackacchack\r)} % "Generic" \index{tilde} \label{math-accents} \begin{tabular}{*4{ll}} \W\acute{a} & \W\check{a} & \W\grave{a} & \W\tilde{a} \\ \W\bar{a}$^*$ & \W\ddot{a} & \W\hat{a} & \W\vec{a} \\ \W\breve{a} & \W\dot{a} & \W\mathring{a} \\ \end{tabular} \bigskip \begin{tablenote} \index{dotless i=dotless $i~(\imath)$>math mode} \index{dotless j=dotless $j~(\jmath)$>math mode} Note also the existence of \cmdX{\imath} and \cmdX{\jmath}, which produce dotless versions of ``\textit{i}'' and ``\textit{j}''. (See \vref{ord}.) These are useful when the accent is supposed to replace the dot. For example, ``\verb|\hat{\imath}|'' produces a correct ``$\,\hat{\imath}\,$'', while ``\verb|\hat{i}|'' would yield the rather odd-looking ``\,$\hat{i}\,$''. \end{tablenote} \bigskip \begin{tablenote}[*] The \cmdI[$\string\blackacc{\string\overline}$]{\overline} command (\vref*{extensible-accents}) produces a wider accent than \verb|\bar|: ``$\overline{A}$''~vs.~``$\bar{A}$''. However, unlike adjacent \verb|\bar|s, adjacent \verb|\overline|s run together, which is often not desired: ``$\overline{A}\overline{B}$''~vs.~``$\bar{A}\bar{B}$''. If wider bars than \verb|\bar| are needed, the following code from \person{Enrico}{Gregorio} can be used to add the requisite inter-symbol spacing~\cite{Gregorio2009:latex-book}: \begin{verbatim} \newcommand{\closure}[2][3]{% {}\mkern#1mu\overline{\mkern-#1mu#2}} \end{verbatim} With that definition, ``\cmdI[$\string\blackacc{\string\closure}$]{\closure}\verb|{A}\closure{B}|'' produces ``$\closure{A}\closure{B}$'', with a visible gap between the two accents. The optional argument can be used to fine-tune the spacing. \end{tablenote} \end{symtable} \begin{symtable}[AMS]{\AMS\ Math-mode Accents} \index{accents} \label{ams-math-accents} \begin{tabular}{ll@{\hspace*{2em}}ll} \W\dddot{a} & \W\ddddot{a} \\ \end{tabular} \bigskip \begin{tablenote} These accents are also provided by the \ABX\ and \pkgname{accents} packages and are redefined by the \MDOTS\ package if the \pkgname{amsmath} and \pkgname{amssymb} packages have previously been loaded. All of the variations except for the original \AMS\ ones tighten the space between the dots% \ifMDOTS ~(from~$\dddot{a}$ to~$\MDOTSdddot{a}$)% \else \ifABX ~(from~$\dddot{a}$ to~$\ABXdddot{a}$)% \else \ifACCENTS ~(from~$\dddot{a}$ to~$\ACCENTSdddot{a}$)% \fi \fi \fi . The \ABX\ and \MDOTS\ versions also function properly within subscripts and superscripts% \ifMDOTS ~($x^{\MDOTSdddot{a}}$ instead of~$x^{\dddot{a}}$) \else \ifABX ~($x^{\ABXdddot{a}}$ instead of~$x^{\dddot{a}}$) \fi \fi . \end{tablenote} \end{symtable} \begin{symtable}[MNS]{\MNS\ Math-mode Accents} \index{accents} \label{mns-math-accents} \begin{tabular}{ll} \W[\MNSvec]\vec{a} \\ \end{tabular} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Math-mode Accents} \index{accents} \label{fdsym-math-accents} \renewcommand{\arraystretch}{1.1} \begin{tabular}{ll@{\quad}ll} \W[\FDSYMmiddlebar]\middlebar{a} & \W[\FDSYMstrokethrough]\strokethrough{a} \\ \W[\FDSYMmiddleslash]\middleslash{a} & \W[\FDSYMvec]\vec{a} \\ \end{tabular} \bigskip \begin{tablenote} \verb|\middlebar| and \verb|\middleslash| are applied here to ``$a$'' for consistency with the rest of the document, but they generally look better when applied to taller lowercase characters. \end{tablenote} \end{symtable} \begin{symtable}[BSK]{\BSK\ Math-mode Accents} \index{accents} \label{bsk-math-accents} \begin{tabular}{ll} \W[\BSKvec]\vec{a} \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Math-mode Accents} \index{accents} \label{stix-math-accents} \renewcommand{\arraystretch}{1.1} \begin{tabular}{ll@{\quad}ll} \W[\STIXacute]\acute{a} & \W[\STIXhat]\hat{a} \\ \W[\STIXannuity]\annuity{a} & \W[\STIXleftarrowaccent]\leftarrowaccent{a} \\ \W[\STIXasteraccent]\asteraccent{a} & \W[\STIXleftharpoonaccent]\leftharpoonaccent{a} \\ \W[\STIXbar]\bar{a} & \W[\STIXleftrightarrowaccent]\leftrightarrowaccent{a} \\ \W[\STIXbreve]\breve{a} & \W[\STIXmathring]\mathring{a} \\ \W[\STIXcandra]\candra{a} & \W[\STIXocommatopright]\ocommatopright{a} \\ \W[\STIXcheck]\check{a} & \W[\STIXoturnedcomma]\oturnedcomma{a} \\ \W[\STIXddddot]\ddddot{a} & \W[\STIXovhook]\ovhook{a} \\ \W[\STIXdddot]\dddot{a} & \W[\STIXrightharpoonaccent]\rightharpoonaccent{a} \\ \W[\STIXddot]\ddot{a} & \W[\STIXtilde]\tilde{a} \\ \W[\STIXdot]\dot{a} & \W[\STIXvec]\vec{a} \\ \W[\STIXdroang]\droang{a} & \W[\STIXwidebridgeabove]\widebridgeabove{a} \\ \W[\STIXgrave]\grave{a} & \\ \end{tabular} \end{symtable} \begin{symtable}[FGE]{\FGE\ Math-mode Accents} \index{accents} \label{fge-math-accents} \begin{tabular}{ll} \Q\spirituslenis$^*$ \\ \end{tabular} \bigskip \begin{tablenote}[*] When \FGE\ is passed the \optname{fge}{crescent} option, \cmdI[\string\blackacc{\string\spirituslenisB}]{\spirituslenis} instead uses a crescent accent as in~``\,\spirituslenisB{a}\,''. \end{tablenote} \end{symtable} \begin{symtable}[YH]{\YH\ Math-mode Accents} \index{accents} \index{accents>ring=ring (\blackacchack\r)} % "Generic" \label{yhmath-accents} \begin{tabular}{ll} \W\ring{a} \end{tabular} \bigskip \begin{tablenote} This symbol is largely obsolete, as standard \latexE has supported \cmdI[$\string\blackacc{\string\mathring}$]{\mathring} (\vref*{math-accents}) since June~1998~\cite{ltnews09}. \end{tablenote} \end{symtable} \begin{symtable}[HWMATH]{\HWMATH\ Halloween-Themed Math-mode Accents} \index{accents} \label{hwmath-accents} \renewcommand{\arraystretch}{2} % Keep tall symbols from touching. \begin{tabular}{llll} \W\overbat{a} & \W\underbat{a} \\ \Wstar\overbat{a} & \Wstar\underbat{a} \\ \end{tabular} \end{symtable} \begin{symtable}[RHATS]{\RHATS\ Math-mode Hat Accents} \index{accents} \index{beret} \index{cowboy hat} \index{crown} \index{dunce cap} \index{fez} \index{sombrero} \index{top hat} \index{witch's hat} \label{realhats} \begin{tabular}{*2{ll@{\qquad}}ll} \W[\RHATash]{\hat[ash]}{a} & \W[\RHATfez]{\hat[fez]}{a} \\ \W[\RHATberet]{\hat[beret]}{a} & \W[\RHATsanta]{\hat[santa]}{a} \\ \W[\RHATcowboy]{\hat[cowboy]}{a} & \W[\RHATsombrero]{\hat[sombrero]}{a} \\ \W[\RHATcrown]{\hat[crown]}{a} & \W[\RHATtophat]{\hat[tophat]}{a} \\ \W[\RHATdunce]{\hat[dunce]}{a} & \W[\RHATwitch]{\hat[witch]}{a} \\ \end{tabular} \bigskip \begin{tablenote} These hats are drawn by scaling a graphic image and placing it at an appropriate location. If \texttt{\string\hat} is used with no argument, it selects a hat at random. Alternatively, a hat type can be passed as an option to \RHATS\ to specify the default hat. \seedocs{\RHATS}. \end{tablenote} \end{symtable} \begin{symtable}{Extensible Accents} \index{accents} \idxboth{extensible}{accents} \idxboth{extensible}{arrows} \idxboth{extensible}{braces} \index{underline} \index{tilde} \index{tilde>extensible} \index{extensible tildes} \index{symbols>extensible} \index{accents>circumflex=circumflex (\blackacchack\^)} % "Generic" \index{accents>macron=macron (\showmacron)} % "Generic" \label{extensible-accents} \renewcommand{\arraystretch}{1.5} \begin{tabular}{*4l} \W\widetilde{abc}$^*$ & \W\widehat{abc}$^*$ \\ \W\overleftarrow{abc}$^\dag$ & \W\overrightarrow{abc}$^\dag$ \\ \W\overline{abc} & \W\underline{abc} \\ \W\overbrace{abc} & \W\underbrace{abc} \\[5pt] \W\sqrt{abc}$^\ddag$ \\ \end{tabular} \bigskip \begin{tablenote} \def\longdivsign{% \ensuremath{\overline{\vphantom{)}% \hbox{\smash{\raise3.5\fontdimen8\textfont3\hbox{$)$}}}% abc}}} \idxbothbegin{long}{division} \idxbothbegin{polynomial}{division} As demonstrated in a 1997 \TUGboat article about typesetting long-division problems~\cite{Gibbons:longdiv}, an extensible long-division sign (``\,\longdivsign\,'') can be faked by putting a ``\verb|\big)|'' in a \texttt{tabular} environment with an \verb|\hline| or \verb|\cline| in the preceding row. The article also presents a piece of code (uploaded to \CTAN as \hfilename{http://mirror.ctan.org/macros/generic/misc/longdiv.tex}{longdiv.tex}% \index{longdiv=\textsf{longdiv} (package)}% \index{packages>longdiv=\textsf{longdiv}}) that automatically solves and typesets---by putting an \cmdW{\overline} atop ``\verb|\big)|'' and the desired text---long-division problems. \ifSTIX More recently, the STIX fonts include a true long-division sign. See \incsyms\indexaccent[$\string\blackacc{\string\STIXlongdivision}$]{\longdivision}\verb|\longdivision| in \ref{stix-extensible-accents} for a sample of this symbol. \fi See also the \pkgname{polynom} package, which automatically solves and typesets polynomial-division problems in a similar manner. \idxbothend{long}{division} \idxbothend{polynomial}{division} \end{tablenote} \bigskip \begin{tablenote}[*] \def\reftextafter{on the following page} % Don't use randomness within a sentence. These symbols are made more extensible by the \MNS\ package \ifMNS (\vref*{mns-extensible-accents}). \fi % MNS test and even more extensible by the \YH\ \ifYH package (\vref*{yhmath-extensible-accents}). \else package. \fi % YH test \end{tablenote} \bigskip \begin{tablenote}[\dag] If you're looking for an extensible \emph{diagonal} line or arrow to be used for canceling or reducing mathematical subexpressions\index{arrows>diagonal, for reducing subexpressions} \ifhavecancel (e.g.,~``$\cancel{x + -x}$'' or ``$\cancelto{5}{3+2}\quad$'') \fi then consider using the \pkgname{cancel} package. \end{tablenote} \bigskip \begin{tablenote}[\ddag] With an optional argument, \verb|\sqrt| typesets nth roots. For example, ``\verb|\sqrt[3]{abc}|'' produces~``$\sqrt[3]{abc}\,$'' and ``\verb|\sqrt[n]{abc}|'' produces~``$\,\sqrt[n]{abc}$\,''. \end{tablenote} \end{symtable} \begin{symtable}[ORA]{\ORA\ Extensible Accents} \index{accents} \idxboth{extensible}{accents} \idxboth{extensible}{arrows} \index{symbols>extensible} \label{ora-extensible-accents} \begin{tabular}{ll} \W\Overrightarrow{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[YH]{\YH\ Extensible Accents} \idxboth{extensible}{accents} \index{symbols>extensible} \index{accents>arc=arc (\blackacchack\newtie)} % "Generic" \label{yhmath-extensible-accents} \renewcommand{\arraystretch}{1.5} \begin{tabular}{ll@{\qquad}ll} \W[\YHwidehat]\widehat{abc} & \W[\YHwidetilde]\widetilde{abc} \\ \W[\YHwideparen]\wideparen{abc} & \W[\YHwidetriangle]\widetriangle{abc} \\ \W[\YHwidering]\widering{abc} & \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Extensible Accents} \idxboth{extensible}{accents} \index{symbols>extensible} \label{ams-extensible-accents} \renewcommand{\arraystretch}{1.5} \begin{tabular}{ll@{\qquad}ll} \W\overleftrightarrow{abc} & \W\underleftrightarrow{abc} \\ \W\underleftarrow{abc} & \W\underrightarrow{abc} \\[2ex] \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Extensible Accents} \idxboth{extensible}{accents} \idxboth{extensible}{arrows} \idxboth{extensible}{braces} \index{symbols>extensible} \index{accents>arc=arc (\blackacchack\newtie)} % "Generic" \index{accents>circumflex=circumflex (\blackacchack\^)} % "Generic" \label{mns-extensible-accents} \renewcommand{\arraystretch}{1.75} \begin{tabular}{ll@{\qquad}ll} \W[\MNSoverbrace]\overbrace{abc} & \W[\MNSundergroup]\undergroup{abc} \\ \W[\MNSovergroup]\overgroup{abc} & \W[\MNSunderlinesegment]\underlinesegment{abc} \\ \W[\MNSoverleftharpoon]\overleftharpoon{abc} & \W[\MNSwidehat]\widehat{abc} \\ \W[\MNSoverlinesegment]\overlinesegment{abc} & \W[\MNSwideparen]\wideparen{abc} \\ \W[\MNSoverrightharpoon]\overrightharpoon{abc} & \W[\MNSwidetilde]\widetilde{abc} \\ \W[\MNSunderbrace]\underbrace{abc} & \\ \end{tabular} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Extensible Accents} \idxboth{extensible}{accents} \index{symbols>extensible} \index{accents>arc=arc (\blackacchack\newtie)} % "Generic" \index{accents>circumflex=circumflex (\blackacchack\^)} % "Generic" \label{fdsym-extensible-accents} \renewcommand{\arraystretch}{1.75} \begin{tabular}{ll@{\qquad}ll} \W[\FDSYMoverbrace]\overbrace{abc} & \W[\FDSYMundergroup]\undergroup{abc} \\ \W[\FDSYMovergroup]\overgroup{abc} & \W[\FDSYMunderlinesegment]\underlinesegment{abc} \\ \W[\FDSYMoverleftharpoon]\overleftharpoon{abc} & \W[\FDSYMwidehat]\widehat{abc} \\ \W[\FDSYMoverlinesegment]\overlinesegment{abc} & \W[\FDSYMwideparen]\wideparen{abc} \\ \W[\FDSYMoverrightharpoon]\overrightharpoon{abc} & \W[\FDSYMwidetilde]\widetilde{abc} \\ \W[\FDSYMunderbrace]\underbrace{abc} & \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Extensible Accents} \idxboth{extensible}{accents} \index{symbols>extensible} \index{accents>arc=arc (\blackacchack\newtie)} % "Generic" \index{accents>circumflex=circumflex (\blackacchack\^)} % "Generic" \idxboth{long}{division} \label{stix-extensible-accents} \renewcommand{\arraystretch}{1.75} \begin{tabular}{ll@{\qquad}ll} \W[\STIXlongdivision]\longdivision{abc} & \W[\STIXunderbracket]\underbracket{abc} \\ \W[\STIXoverbrace]\overbrace{abc} & \W[\STIXunderleftarrow]\underleftarrow{abc} \\ \W[\STIXoverbracket]\overbracket{abc} & \W[\STIXunderleftharpoon]\underleftharpoon{abc} \\ \W[\STIXoverleftarrow]\overleftarrow{abc} & \W[\STIXunderleftrightarrow]\underleftrightarrow{abc} \\ \W[\STIXoverleftharpoon]\overleftharpoon{abc} & \W[\STIXunderparen]\underparen{abc} \\ \W[\STIXoverleftrightarrow]\overleftrightarrow{abc} & \W[\STIXunderrightarrow]\underrightarrow{abc} \\ \W[\STIXoverparen]\overparen{abc} & \W[\STIXunderrightharpoon]\underrightharpoon{abc} \\ \W[\STIXoverrightarrow]\overrightarrow{abc} & \W[\STIXwidecheck]\widecheck{abc} \\ \W[\STIXoverrightharpoon]\overrightharpoon{abc} & \W[\STIXwidehat]\widehat{abc} \\ \W[\STIXsqrt]\sqrt{abc} & \W[\STIXwidetilde]\widetilde{abc} \\ \W[\STIXunderbrace]\underbrace{abc} & \\ \end{tabular} \end{symtable} \begin{symtable}[MTOOLS]{\MTOOLS\ Extensible Accents} \idxboth{extensible}{accents} \idxboth{extensible}{braces} \index{symbols>extensible} \label{mathtools-extensible-accents} \renewcommand{\arraystretch}{1.5} \begin{tabular}{ll@{\qquad}ll} \W[\MTOOLSoverbrace]\overbrace{abc} & \W[\MTOOLSunderbrace]\underbrace{abc} \\ \W[\MTOOLSoverbracket]\overbracket{abc}$^*$ & \W[\MTOOLSunderbracket]\underbracket{abc}$^*$ \\ \end{tabular} \bigskip \begin{tablenote}[*] \verb|\overbracket| and \verb|\underbracket| accept optional arguments that specify the bracket height and thickness. \seedocs{\MTOOLS}. \end{tablenote} \end{symtable} \begin{symtable}[ABX]{\ABX\ Extensible Accents} \index{accents} \idxboth{extensible}{accents} \idxboth{extensible}{arrows} \idxboth{extensible}{braces} \index{symbols>extensible} \index{accents>arc=arc (\blackacchack\newtie)} % "Generic" \index{accents>caron=caron (\blackacchack\v)} % "Generic" \index{accents>macron=macron (\showmacron)} % "Generic" \label{abx-extensible-accents} \renewcommand{\arraystretch}{1.75} \begin{tabular}{ll@{\qquad}ll} \W[\ABXoverbrace]\overbrace{abc} & \W[\ABXwidebar]\widebar{abc} \\ \W[\ABXovergroup]\overgroup{abc} & \W[\ABXwidecheck]\widecheck{abc} \\ \W[\ABXunderbrace]\underbrace{abc} & \W[\ABXwideparen]\wideparen{abc} \\ \W[\ABXundergroup]\undergroup{abc} & \W[\ABXwidering]\widering{abc} \\ \W[\ABXwidearrow]\widearrow{abc} \\ \end{tabular} \bigskip \begin{tablenote} The braces shown for \verb|\overbrace| and \verb|\underbrace| appear in their minimum size. They can expand arbitrarily wide, however. \end{tablenote} \end{symtable} \begin{symtable}[FOUR]{\FOUR\ Extensible Accents} \index{accents} \idxboth{extensible}{accents} \idxboth{extensible}{arrows} \index{symbols>extensible} \index{accents>arc=arc (\blackacchack\newtie)} % "Generic" \label{four-extensible-accents} \renewcommand{\arraystretch}{1.75} \begin{tabular}{ll@{\qquad}ll} \W[\FOURwidearc]\widearc{abc} & \W[\FOURwideparen]\wideparen{abc} \\ \W[\FOURwideOarc]\wideOarc{abc} & \W[\FOURwidering]\widering{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[ESV]{\ESV\ Extensible Accents} \index{accents} \idxboth{extensible}{accents} \idxboth{extensible}{arrows} \index{symbols>extensible} \label{esv-extensible-accents} \renewcommand{\arraystretch}{1.5} \begin{tabular}{ll} \VV{a}{abc} \\ \VV{b}{abc} \\ \VV{c}{abc} \\ \VV{d}{abc} \\ \VV{e}{abc} \\ \VV{f}{abc} \\ \VV{g}{abc} \\ \VV{h}{abc} \\ \end{tabular} \bigskip \begin{tablenote} \ESV\ also defines a \verb|\vv*| macro which is used to typeset arrows over vector variables with subscripts. \seedocs{\ESV}. \end{tablenote} \end{symtable} \begin{symtable}[ABRACES]{\ABRACES\ Extensible Accents} \idxboth{extensible}{accents} \idxboth{extensible}{braces} \idxboth{multiline}{braces} \idxboth{asymmetric}{braces} \index{symbols>extensible} \label{abraces-extensible-accents} \renewcommand{\arraystretch}{1.5} \begin{tabular}{ll@{\qquad}ll} \W\aoverbrace{abc} & \W\aunderbrace{abc} \\ \end{tabular} \bigskip \begin{tablenote} \verb|\aoverbrace| and \verb|\aunderbrace| accept optional arguments that provide a great deal of control over the braces' appearance. For example, these commands can produce braces with asymmetric endpoints, braces that span lines, dashed braces, and multicolored braces. \seedocs{\ABRACES}. \end{tablenote} \end{symtable} \begin{symtable}[UTILD]{\UTILD\ Extensible Accents} \index{accents} \idxboth{extensible}{accents} \index{tilde>extensible} \index{extensible tildes} \index{tilde} \index{symbols>extensible} \label{utild-extensible-accents} \begin{tabular}{ll} \W\utilde{abc} \\ \end{tabular} \bigskip \begin{tablenote} Because \verb|\utilde| is based on \verb|\widetilde|% \index{widetilde=\verb+\widetilde+ ($\blackacc{\widetilde}$)} it is also made more extensible by the \YH\ \ifYH package (\vref*{yhmath-extensible-accents}). \else package. \fi % YH test \end{tablenote} \end{symtable} \begin{symtable}[USHORT]{\USHORT\ Extensible Accents} \index{accents} \idxboth{extensible}{accents} \index{symbols>extensible} \index{underline} \label{ushort-extensible-accents} \begin{tabular}{ll@{\qquad}ll} \W\ushortdw{abc} & \W\ushortw{abc} \\ \end{tabular} \bigskip \begin{tablenote} \verb|\ushortw| and \verb|\ushortdw| are intended to be used with multi-character arguments (``words'') while \verb|\ushort|% \index{ushort=\verb+\ushort+ ($\blackacc{\ushort}$)}% and \verb|\ushortd|% \setbox0=\hbox{\begin{tabular}{ll}\W\ushortd{x}\end{tabular}} are intended to be used with single-character arguments. The underlines produced by the \USHORT\ commands are shorter than those produced by the \verb|\underline|% \setbox0=\hbox{\begin{tabular}{ll}\W\underline{x}\end{tabular}} command. Consider the output from the expression ``\verb+\ushort{x}+\linebreak[0]% \verb+\ushort{y}+\linebreak[0]% \verb+\underline{x}+\linebreak[0]% \verb+\underline{y}+'', which looks like ``$\ushort{x}\ushort{y}\underline{x}\underline{y}$''. \end{tablenote} \end{symtable} \begin{symtable}[MDW]{\MDW\ Extensible Accents} \index{accents} \idxboth{extensible}{accents} \index{symbols>extensible} \label{mdw-extensible-accents} \renewcommand{\arraystretch}{1.5} \begin{tabular}{ll} \W[\MDWsqrt]{\sqrt*}{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[ACTANG]{\ACTANG\ Extensible Accents} \index{accents} \idxboth{extensible}{accents} \index{symbols>extensible} \index{symbols>actuarial} \index{actuarial symbols} \index{symbols>annuity} \index{annuity symbols} \index{symbols>life insurance} \index{life-insurance symbols} \index{symbols>present value} \index{present-value symbols} \label{actuarialangle} \begin{tabular}{ll} \W\actuarialangle{abc} \\ \end{tabular} \bigskip \begin{tablenote} The \ACTANG\ package additionally defines \cmdW{\angl} as \cmdW{\actuarialangle} with a small amount of extra space to the right of the accented expression under the~$\actuarialangle{\phantom{a}}$, \cmdX{\angln} as \verb|\angl{n}|, and \cmdX{\anglr} as \verb|\angl{r}|. \end{tablenote} \end{symtable} \begin{symtable}[AMS]{\AMS\ Extensible Arrows} \index{arrows} \idxboth{extensible}{arrows} \index{symbols>extensible} \label{ams-extensible-arrows} \begin{tabular}{ll@{\qquad}ll} \W\xleftarrow{abc} & \W\xrightarrow{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[MTOOLS]{\MTOOLS\ Extensible Arrows} \index{arrows} \idxboth{extensible}{arrows} \index{symbols>extensible} \label{mathtools-extensible-arrows} \renewcommand{\arraystretch}{1.5} \begin{tabular}{ll@{\qquad}ll} \W[\MTOOLSxhookleftarrow]\xhookleftarrow{abc} & \W[\MTOOLSxleftrightharpoons]\xleftrightharpoons{abc} \\ \W[\MTOOLSxhookrightarrow]\xhookrightarrow{abc} & \W[\MTOOLSxmapsto]\xmapsto{abc} \\ \W[\MTOOLSxLeftarrow]\xLeftarrow{abc} & \W[\MTOOLSxRightarrow]\xRightarrow{abc} \\ \W[\MTOOLSxleftharpoondown]\xleftharpoondown{abc} & \W[\MTOOLSxrightharpoondown]\xrightharpoondown{abc} \\ \W[\MTOOLSxleftharpoonup]\xleftharpoonup{abc} & \W[\MTOOLSxrightharpoonup]\xrightharpoonup{abc} \\ \W[\MTOOLSxleftrightarrow]\xleftrightarrow{abc} & \W[\MTOOLSxrightleftharpoons]\xrightleftharpoons{abc} \\ \W[\MTOOLSxLeftrightarrow]\xLeftrightarrow{abc} & \\ \end{tabular} \end{symtable} \begin{symtable}[CHEMA]{\CHEMA\ Extensible Arrows} \index{arrows} \idxboth{extensible}{arrows} \index{symbols>extensible} \label{chemarr-extensible-arrows} \begin{tabular}{ll} \W\xrightleftharpoons{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[CHEMB]{\CHEMB\ Extensible Arrows} \index{arrows} \idxboth{extensible}{arrows} \index{symbols>extensible} \label{chemarrow-extensible-arrows} \renewcommand{\arraystretch}{4} % Keep upper and lower strings from touching. \begin{tabular}{ll@{\qquad}ll} \Wul\autoleftarrow{abc}{def} & \Wul\autorightarrow{abc}{def} \\ \Wul\autoleftrightharpoons{abc}{def} & \Wul\autorightleftharpoons{abc}{def} \\ \end{tabular} \bigskip \begin{tablenote} In addition to the symbols shown above, \CHEMB\ also provides \cmd{\larrowfill}, \cmd{\rarrowfill}, \cmd{\leftrightharpoonsfill}, and \cmd{\rightleftharpoonsfill} macros. Each of these takes a length argument and produces an arrow of the specified length. \end{tablenote} \end{symtable} \begin{symtable}[EXTAR]{\EXTAR\ Extensible Arrows} \index{arrows} \idxboth{extensible}{arrows} \index{symbols>extensible} \label{extarrows-extensible-arrows} \renewcommand{\arraystretch}{1.5} \begin{tabular}{ll@{\qquad}ll} \W[\EXTARxLeftrightarrow]\xLeftrightarrow{abc} & \W\xLongleftrightarrow{abc} \\ \W[\EXTARxleftrightarrow]\xleftrightarrow{abc} & \W\xlongleftrightarrow{abc} \\ \W\xlongequal{abc} & \W\xLongrightarrow{abc} \\ \W\xLongleftarrow{abc} & \W\xlongrightarrow{abc} \\ \W\xlongleftarrow{abc} & \\ \end{tabular} \end{symtable} \begin{symtable}[XPFEIL]{\XPFEIL\ Extensible Arrows} \index{arrows} \idxboth{extensible}{arrows} \index{symbols>extensible} \label{extpfeil-extensible-arrows} \renewcommand{\arraystretch}{1.5} \begin{tabular}{ll@{\qquad}ll} \W[\XPFEILxlongequal]\xlongequal{abc} & \W\xtwoheadleftarrow{abc} \\ \W[\XPFEILxmapsto]\xmapsto{abc} & \W\xtwoheadrightarrow{abc} \\ \W\xtofrom{abc} \end{tabular} \bigskip \begin{tablenote} The \XPFEIL\ package also provides a \cmd{\newextarrow} command to help you define your own extensible arrow symbols. \seedocs{\XPFEIL}. \end{tablenote} \end{symtable} \begin{symtable}[DOTARR]{\DOTARR\ Extensible Arrows} \index{arrows} \idxboth{extensible}{arrows} \idxboth{dotted}{arrows} \index{symbols>extensible} \label{dot-arrows} \begin{tabular}{ll} \W\dotarrow{a} \\ \end{tabular} \bigskip \begin{tablenote} The \DOTARR\ package provides mechanisms for lengthening the arrow, adjusting the distance between the arrow and its symbol, and altering the arrowhead. \seedocs{\DOTARR}. \end{tablenote} \end{symtable} \begin{symtable}[HWMATH]{\HWMATH\ Extensible Arrows} \index{arrows} \idxboth{extensible}{arrows} \index{symbols>extensible} \label{hwmath-arrows} \renewcommand{\arraystretch}{1.5} % Keep high and low accents from touching. \begin{tabular}{ll*2{@{\qquad}ll}} \W\overscriptleftarrow{abc} & \W\underscriptleftarrow{abc} \\ \W\overscriptleftrightarrow{abc} & \W\underscriptleftrightarrow{abc} \\ \W\overscriptrightarrow{abc} & \W\underscriptrightarrow{abc} \\ \end{tabular} \renewcommand{\arraystretch}{1} \bigskip \begin{tablenote} These commands always typeset the arrow in script (small) style, hence the ``\texttt{script}'' in their names. Contrast the size of the arrowheads in the following examples: \begin{center} \begin{tabular}{ccc} $\overrightarrow{abc}$ & \footnotesize vs. & $\overscriptrightarrow{abc}$ \\ \tiny\verb|\overrightarrow{abc}| & & \tiny\verb|\overscriptrightarrow{abc}| \\ \end{tabular} \end{center} \end{tablenote} \end{symtable} \begin{symtable}[TRF]{\TRF\ Extensible Transform Symbols} \index{transforms} \index{symbols>extensible} \label{trf-extend} \begin{tabular}{ll@{\hspace*{2em}}ll} \W\dft{abc} & \W\DFT{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[ESR]{\ESR\ Extensible Relations} \index{relations} \index{symbols>extensible} \label{esr-extend} \renewcommand{\arraystretch}{1.5} % Keep tall symbols from touching. \begin{tabular}{ll@{\hspace*{2em}}ll} \W[\ESRrelationleftproject]\relationleftproject{abc} & \W[\ESRrelationrightproject]\relationrightproject{abc} \\ \W[\ESRrelationlifting]\relationlifting{abc} & \\ \end{tabular} \end{symtable} \begin{symtable}[HWMATH]{\HWMATH\ Extensible Brooms and Pitchforks} \index{brooms} \index{pitchforks} \index{symbols>extensible} \label{hwmath-unwitched} \renewcommand{\arraystretch}{2} % Keep tall symbols from touching. \begin{tabular}{ll@{\hspace*{2em}}ll} \W\overleftbroom{abc} & \W\underrightbroom{abc} \\ \W\overleftpitchfork{abc} & \W\underrightpitchfork{abc} \\ \W\overrightbroom{abc} & \W\xleftbroom{abc} \\ \W\overrightpitchfork{abc} & \W\xleftpitchfork{abc} \\ \W\underleftbroom{abc} & \W\xrightbroom{abc} \\ \W\underleftpitchfork{abc} & \W\xrightpitchfork{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[HWMATH]{\HWMATH\ Extensible Witches} \index{witches} \index{brooms} \index{pitchforks} \index{symbols>extensible} \idxboth{Halloween}{symbols} \label{hwmath-witches} \renewcommand{\arraystretch}{2} % Keep tall symbols from touching. \begin{tabular}{ll@{\hspace*{2em}}ll} \W\overleftwitchonbroom{abc} & \W\underrightwitchonbroom{abc} \\ \Wstar\overleftwitchonbroom{abc} & \Wstar\underrightwitchonbroom{abc} \\ \Wstar\overleftwitchonpitchfork{abc} & \Wstar\underrightwitchonpitchfork{abc} \\ \W\overleftwitchonpitchfork{abc} & \W\underrightwitchonpitchfork{abc} \\ \Wstar\overrightwitchonbroom{abc} & \Wstar\xleftwitchonbroom{abc} \\ \W\overrightwitchonbroom{abc} & \W\xleftwitchonbroom{abc} \\ \Wstar\overrightwitchonpitchfork{abc} & \Wstar\xleftwitchonpitchfork{abc} \\ \W\overrightwitchonpitchfork{abc} & \W\xleftwitchonpitchfork{abc} \\ \W\underleftwitchonbroom{abc} & \W\xrightwitchonbroom{abc} \\ \Wstar\underleftwitchonbroom{abc} & \Wstar\xrightwitchonbroom{abc} \\ \Wstar\underleftwitchonpitchfork{abc} & \W\xrightwitchonpitchfork{abc} \\ \W\underleftwitchonpitchfork{abc} & \Wstar\xrightwitchonpitchfork{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[HWMATH]{\HWMATH\ Extensible Ghosts} \index{ghosts} \index{symbols>extensible} \idxboth{Halloween}{symbols} \label{hwmath-ghosts} \renewcommand{\arraystretch}{2} % Keep tall symbols from touching. \begin{tabular}{ll@{\hspace*{2em}}ll} \W\overleftswishingghost{abc} & \W\overrightswishingghost{abc} \\ \W\underleftswishingghost{abc} & \W\underrightswishingghost{abc} \\ \W\xleftswishingghost{abc} & \W\xrightswishingghost{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[HWMATH]{\HWMATH\ Extensible Bats} \index{bats} \index{symbols>extensible} \idxboth{Halloween}{symbols} \label{hwmath-bats} \renewcommand{\arraystretch}{2} % Keep tall symbols from touching. \begin{tabular}{ll@{\hspace*{2em}}ll} \W\overleftflutteringbat{abc} & \W\overrightflutteringbat{abc} \\ \W\underleftflutteringbat{abc} & \W\underrightflutteringbat{abc} \\ \W\xleftflutteringbat{abc} & \W\xrightflutteringbat{abc} \\ \end{tabular} \end{symtable} \begin{symtable}[HOPO]{\HOPO\ Non-commutative Division Symbols} \idxboth{extensible}{accents} \idxboth{non-commutative}{division} \index{symbols>non-commutative division} \label{holtpolt} \begin{tabular}{ll@{\qquad}ll} \Wul\holter{abc}{def} & \Wul\polter{abc}{def} \\ \end{tabular} \end{symtable} \begin{symtable}{Dots} \idxboth{dot}{symbols} \index{dots (ellipses)} \index{ellipses (dots)} \label{dots} \begin{tabular}{*{3}{ll@{\hspace*{1.5cm}}}ll} \X\cdotp & \X\colon$^*$ & \X\ldotp & \X\vdots$^\dag$ \\ \X\cdots & \X\ddots$^\dag$ & \X\ldots \\ \end{tabular} \bigskip \begin{tablenote}[*] While ``\texttt{:}'' is valid in math mode, \cmd{\colon} uses different surrounding spacing. See \ref{math-spacing} and the Short Math Guide for \latex~\cite{Downes:smg} for more information on math-mode spacing. \end{tablenote} \bigskip \begin{tablenote}[\dag] \ifMDOTS \let\mdcmdX=\cmdX \else \let\mdcmdX=\cmd \fi The \MDOTS\ package redefines \cmdX{\ddots} and \cmdX{\vdots} \ifMDOTS (\ref{mathdots-dots}) \fi to make them scale properly with font size. (They normally scale horizontally but not vertically.) \mdcmdX{\fixedddots} and \mdcmdX{\fixedvdots} provide the original, fixed-height functionality of \latexE's \cmdX{\ddots} and \cmdX{\vdots} macros. \end{tablenote} \end{symtable} \begin{symtable}[AMS]{\AMS\ Dots} \idxboth{dot}{symbols} \index{dots (ellipses)} \index{ellipses (dots)} \label{ams-dots} \begin{tabular}{*{2}{ll@{\hspace*{1.5cm}}}ll} \X\because$^*$ & \X[\cdots]\dotsi & \X\therefore$^*$ \\ \X[\cdots]\dotsb & \X[\cdots]\dotsm & \\ \X[\ldots]\dotsc & \X[\ldots]\dotso & \\ \end{tabular} \bigskip \begin{tablenote}[*] \cmdX{\because} and \cmdX{\therefore} are defined as binary relations and therefore also appear in \vref{ams-rel}. \end{tablenote} \bigskip \begin{tablenote} The \AMS\ \verb*|\dots|\hbox to 0.75em{\hrulefill} symbols are named according to their intended usage: \cmdI[$\string\cdots$]{\dotsb} between pairs of binary operators/relations, \cmdI[$\string\ldots$]{\dotsc} between pairs of commas, \cmdI[$\string\cdots$]{\dotsi} between pairs of integrals, \cmdI[$\string\cdots$]{\dotsm} between pairs of multiplication signs, and \cmdI[$\string\ldots$]{\dotso} between other symbol pairs. \end{tablenote} \end{symtable} \begin{symtable}[WASY]{\WASY\ Dots} \idxboth{dot}{symbols} \label{wasy-dots} \begin{tabular}{ll} \K\wasytherefore \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Dots} \idxboth{dot}{symbols} \index{dots (ellipses)} \index{ellipses (dots)} \label{mns-dots} \begin{tabular}{*{2}{ll@{\hspace*{1.5cm}}}ll} \K[\MNScdot]\cdot & \K[\MNShdotdot]\hdotdot & \K[\MNSudots]\udots \\ \K[\MNSddotdot]\ddotdot & \K[\MNShdots]\hdots & \K[\MNSuptherefore]\uptherefore \\ \K[\MNSddots]\ddots & \K[\MNSlefttherefore]\lefttherefore & \K[\MNSvdotdot]\vdotdot \\ \K[\MNSdiamonddots]\diamonddots & \K[\MNSrighttherefore]\righttherefore & \K[\MNSvdots]\vdots \\ \K[\MNSdowntherefore]\downtherefore & \K[\MNSsquaredots]\squaredots & \\ \K[\MNSfivedots]\fivedots & \K[\MNSudotdot]\udotdot & \\ \end{tabular} \bigskip \begin{tablenote} \MNS\ defines \cmdI[\MNSuptherefore]{\therefore} as \cmdI[\MNSuptherefore]{\uptherefore} and \cmdI[\MNSdowntherefore]{\because} as \cmdI[\MNSdowntherefore]{\downtherefore}. Furthermore, \cmdI[\MNScdot]{\cdotp} and \cmdI[\MNSvdotdot]{\colon} produce the same glyphs as \cmdI[\MNScdot]{\cdot} and \cmdI[\MNSvdotdot]{\vdotdot} respectively but serve as \tex\ math punctuation (class~6 symbols) instead of \tex\ binary operators (class~2). \end{tablenote} \bigskip \begin{tablenote} All of the above except \cmdI[\MNShdots]\hdots\ and \cmdI[\MNSvdots]\vdots\ are defined as binary operators and therefore also appear in \vref{mns-bin}. \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Dots} \idxboth{dot}{symbols} \index{dots (ellipses)} \index{ellipses (dots)} \label{fdsym-dots} \begin{tabular}{*2{ll@{\hspace*{1.5cm}}}ll} \K[\FDSYMcdot]\cdot & \K[\FDSYMhdots]\hdots & \K[\FDSYMudots]\udots \\ \K[\FDSYMddotdot]\ddotdot & \K[\FDSYMlefttherefore]\lefttherefore & \K[\FDSYMuptherefore]\uptherefore \\ \K[\FDSYMddots]\ddots & \K[\FDSYMrighttherefore]\righttherefore & \K[\FDSYMvdotdot]\vdotdot \\ \K[\FDSYMdowntherefore]\downtherefore & \K[\FDSYMsquaredots]\squaredots & \\ \K[\FDSYMhdotdot]\hdotdot & \K[\FDSYMudotdot]\udotdot & \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines \cmdI[\string\FDSYMadots]{\adots} as a synonym for \cmdI[\string\FDSYMudots]{\udots}; \cmdI[\string\FDSYMbecause]{\because} as a synonym for \cmdI[\string\FDSYMdowntherefore]{\downtherefore}; \cmdI[\string\FDSYMcdots]{\cdotp} as a synonym for \cmdI[\string\FDSYMhdots]{\cdot}; \cmdI[\string\FDSYMcdots]{\cdots} as a synonym for \cmdI[\string\FDSYMhdots]{\hdots}; \cmdI[\string\FDSYMColon]{\Colon} as a synonym for \cmdI[\string\FDSYMsquaredots]{\squaredots}; \cmdI[\string\FDSYMcolon]{\colon}, \cmdI[\string\FDSYMmathcolon]{\mathcolon}, and \cmdI[\string\FDSYMmathratio]{\mathratio} as synonyms for \cmdI[\string\FDSYMvdotdot]{\vdotdot}; and \cmdI[\string\FDSYMtherefore]{\therefore} as a synonym for \cmdI[\string\FDSYMuptherefore]{\uptherefore}. (Some of these serve different mathematical roles, such as relations versus binary operators.) \end{tablenote} \end{symtable} \begin{symtable}[STIX]{\STIX\ Dots} \idxboth{dot}{symbols} \index{dots (ellipses)} \index{ellipses (dots)} \label{stix-dots} \begin{tabular}{*2{ll@{\hspace*{1.5cm}}}ll} \K[\STIXadots]\adots & \K[\STIXcdots]\cdots & \K[\STIXfourvdots]\fourvdots \\ \K[\STIXbecause]\because & \K[\STIXColon]\Colon & \K[\STIXldotp]\ldotp \\ \K[\STIXcdot]\cdot & \K[\STIXddots]\ddots & \K[\STIXmathellipsis]\mathellipsis \\ \K[\STIXcdotp]\cdotp & \K[\STIXenleadertwodots]\enleadertwodots & \K[\STIXtherefore]\therefore \\ \end{tabular} \bigskip \begin{tablenote} \STIX\ defines \cmdI[\string\STIXcenterdot]{\centerdot} as a synonym for \cmdI[\string\STIXcdotp]{\cdotp} and \cmdI[\string\STIXdotsb]{\dotsb} and \cmdI[\string\STIXdotsm]{\dotsm} as synonyms for \cmdI[\string\STIXcdots]{\cdots}. \end{tablenote} \end{symtable} \begin{symtable}[MDOTS]{\MDOTS\ Dots} \index{dots (ellipses)} \index{ellipses (dots)} \idxboth{dot}{symbols} \label{mathdots-dots} \begin{tabular}{ll*2{@{\quad}ll}} \X[\MDOTSddots]\ddots & \X[\MDOTSiddots]\iddots & \X[\MDOTSvdots]\vdots \\ \end{tabular} \bigskip \begin{tablenote} Unlike the default definitions of the above (\ref{dots}), \MDOTS's commands are designed to scale properly with the surrounding font size. \end{tablenote} \end{symtable} \begin{symtable}[YH]{\YH\ Dots} \index{dots (ellipses)} \index{ellipses (dots)} \idxboth{dot}{symbols} \label{yhmath-dots} \begin{tabular}{ll} \X\adots \end{tabular} \end{symtable} \begin{symtable}[TEUB]{\TEUB\ Dots} \index{dots (ellipses)} \index{ellipses (dots)} \idxboth{dot}{symbols} \label{teubner-dots} \begin{tabular}{*3{ll@{\qquad}}ll} \K[\TEUBtwodots]\: & \K[\TEUBthreedots]\; & \K[\TEUBfourdots]\? & \K\antilabe \\ \end{tabular} \end{symtable} \begin{symtable}[BEGRIFF]{\BEGRIFF\ Begriffsschrift Symbols} \idxboth{Frege logic}{symbols} \idxboth{Begriffsschrift}{symbols} \label{begriff} \begin{tabular}{*3{ll}} \X\BGassert & \X\BGcontent & \X\BGnot \\ \end{tabular} \par\bigskip \begin{tabular}{*2{ll}} \Wul\BGconditional{a\strut}{b\strut} & \W\BGquant{a} \\ \end{tabular} \bigskip \begin{tablenote} The \BEGRIFF\ package contains additional commands for typesetting Frege's\index{Frege, Gottlob} Begriffsschrift notation for second-order logic. \seedocs{\BEGRIFF}. \end{tablenote} \end{symtable} \begin{symtable}[FREGE]{\FREGE\ Begriffsschrift Symbols} \idxboth{Frege logic}{symbols} \idxboth{Begriffsschrift}{symbols} \label{frege} \begin{tabular}{*3{ll}} \K\Facontent & \K\Fanncontent & \K\Fncontent \\ \K\Fancontent & \K\Fcontent & \K\Fnncontent \\ \end{tabular} \par\bigskip \begin{tabular}{*3{ll}} \W\Fannquant{a} & \W\Faquant{a} & \W\Fnquant{a} \\ \W\Fannquantn{a} & \W\Faquantn{a} & \W\Fnquantn{a} \\ \W\Fannquantnn{a} & \W\Faquantnn{a} & \W\Fnquantnn{a} \\ \W\Fanquant{a} & \W\Fnnquant{a} & \W\Fquantn{a} \\ \W\Fanquantn{a} & \W\Fnnquantn{a} & \W\Fquantnn{a} \\ \W\Fanquantnn{a} & \W\Fnnquantnn{a} & \\ \end{tabular} \bigskip \begin{tablenote} The \FREGE\ package contains additional commands for typesetting Frege's\index{Frege, Gottlob} Begriffsschrift notation for second-order logic. \seedocs{\FREGE}. \end{tablenote} \end{symtable} \begin{symtable}{\MC\ Math Symbols} \label{mc-math} \begin{tabular}{*3{ll}} \K[\textcelsius]\tccentigrade & \K[\textohm]\tcohm & \K[\textperthousand]\tcperthousand \\ \K[\textmu]\tcmu & \K[\textpertenthousand]\tcpertenthousand & \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Math Symbols} \index{angles} \label{marv-math} \begin{tabular}{*3{ll}ll} \K\AngleSign & \K\LargerOrEqual & \K\MVMultiplication \\ \K\Conclusion & \K\LessOrEqual & \K\MVPeriod \\ \K\Congruent & \K\MultiplicationDot & \K\MVPlus \\ \K\Corresponds & \K\MVComma & \K\MVRightArrow \\ \K\Divides & \K\MVDivision & \K\MVRightBracket \\ \K\DividesNot & \K\MVLeftBracket & \K\NotCongruent \\ \K\Equivalence & \K\MVMinus & \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Digits} \index{numerals} \label{marv-digits} \begin{tabular}{*4{ll@{\qquad}}ll} \K\MVZero & \K\MVTwo & \K\MVFour & \K\MVSix & \K\MVEight \\ \K\MVOne & \K\MVThree & \K\MVFive & \K\MVSeven & \K\MVNine \\ \end{tabular} \end{symtable} \begin{symtable}[FGE]{\FGE\ Digits} \index{numerals} \idxboth{Frege logic}{symbols} \label{fge-digits} \begin{tabular}{ll@{\qquad}ll} \K\fgestruckzero & \K\fgestruckone \\ \end{tabular} \end{symtable} \begin{symtable}[DOZ]{\DOZ\ Base-12 Digits} \index{numerals} \index{dozenal (base 12)>numerals} \index{base twelve>numerals} \index{duodecimal (base 12)>numerals} \idxboth{Pitman's base 12}{symbols} \label{dozenal-digits} \begin{tabular}{ll@{\qquad}ll} \K[\DOZx]\x & \K[\DOZe]\e \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Mayan Digits} \idxboth{Mayan}{numerals} \label{abx-mayan} \begin{tabular}{*2{ll@{\qquad}}ll} \Tm{0} & \Tm{2} & \Tm{4} \\ \Tm{1} & \Tm{3} & \Tm{5} \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Infinities} \index{infinity} \label{stix-infinity} \begin{tabular}{*3{ll}} \K[\STIXacidfree]\acidfree & \K[\STIXinfty]\infty & \K[\STIXtieinfty]\tieinfty \\ \K[\STIXiinfin]\iinfin & \K[\STIXnvinfty]\nvinfty & \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Primes} \index{primes} \label{stix-prime} \begin{tabular}{ll@{\qquad}ll} \K[\STIXprime]\prime & \K[\STIXbackprime]\backprime \\ \K[\STIXdprime]\dprime & \K[\STIXbackdprime]\backdprime \\ \K[\STIXtrprime]\trprime & \K[\STIXbacktrprime]\backtrprime \\ \K[\STIXqprime]\qprime \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Empty Sets} \index{null set} \index{empty set} \label{stix-empty} \begin{tabular}{*3{ll}} \K[\STIXemptyset]\emptyset & \K[\STIXemptysetobar]\emptysetobar & \K[\STIXvarnothing]\varnothing \\ \K[\STIXemptysetoarr]\emptysetoarr & \K[\STIXemptysetocirc]\emptysetocirc & \\ \K[\STIXemptysetoarrl]\emptysetoarrl & \K[\STIXrevemptyset]\revemptyset & \\ \end{tabular} \end{symtable} \begin{symtable}[AMS]{\AMS\ Angles} \index{angles} \label{ams-angles} \begin{tabular}{*3{ll}} \X[\AMSangle]\angle & \X\measuredangle & \X\sphericalangle \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Angles} \index{angles} \label{mns-angles} \begin{tabular}{*3{ll}} \K[\MNSangle]\angle & \K[\MNSmeasuredangle]\measuredangle & \K[\MNSsphericalangle]\sphericalangle \\ \end{tabular} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Angles} \index{angles} \label{fdsym-angles} \begin{tabular}{*3{ll}} \K[\FDSYMangle]\angle & \K[\FDSYMrevangle]\revangle & \K[\FDSYMsphericalangle]\sphericalangle \\ \K[\FDSYMmeasuredangle]\measuredangle & \K[\FDSYMrevmeasuredangle]\revmeasuredangle & \K[\FDSYMsphericalangledown]\sphericalangledown \\ \K[\FDSYMmeasuredrightangle]\measuredrightangle & \K[\FDSYMrightangle]\rightangle & \K[\FDSYMsphericalangleleft]\sphericalangleleft \\ \K[\FDSYMmeasuredrightangledot]\measuredrightangledot & \K[\FDSYMrightanglesquare]\rightanglesquare & \K[\FDSYMsphericalangleup]\sphericalangleup \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines \cmdI[\string\FDSYMmeasuredangleleft]{\measuredangleleft} as a synonym for \cmdI[\string\FDSYMrevmeasuredangle]{\revmeasuredangle}; \cmdI[\string\FDSYMrevsphericalangle]{\revsphericalangle} and \cmdI[\string\FDSYMgtlpar]{\gtlpar} as synonyms for \cmdI[\string\FDSYMsphericalangleleft]{\sphericalangleleft}; \cmdI[\string\FDSYMrightanglesqr]{\rightanglesqr} as a synonym for \cmdI[\string\FDSYMrightanglesquare]{\rightanglesquare}; and \cmdI[\string\FDSYMrightanglemdot]{\rightanglemdot} as a synonym for \cmdI[\string\FDSYMmeasuredrightangledot]{\measuredrightangledot}. \end{tablenote} \end{symtable} \begin{symtable}[BSK]{\BSK\ Angles} \index{angles} \label{bsk-angles} \begin{tabular}{*3{ll}} \K[\BSKangle]\angle & \K[\BSKrightangle]\rightangle & \K[\BSKsphericalangle]\sphericalangle \\ \K[\BSKmeasuredangle]\measuredangle & \K[\BSKrightanglemdot]\rightanglemdot & \\ \K[\BSKmeasuredrightangle]\measuredrightangle & \K[\BSKrightanglesqr]\rightanglesqr & \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Angles} \index{angles} \label{stix-angles} \begin{tabular}{*3{ll}} \K[\STIXangdnr]\angdnr & \K[\STIXmeasanglerutone]\measanglerutone & \K[\STIXrightanglemdot]\rightanglemdot \\ \K[\STIXangle]\angle & \K[\STIXmeasangleultonw]\measangleultonw & \K[\STIXrightanglesqr]\rightanglesqr \\ \K[\STIXangles]\angles & \K[\STIXmeasangleurtone]\measangleurtone & \K[\STIXsphericalangle]\sphericalangle \\ \K[\STIXangleubar]\angleubar & \K[\STIXmeasuredangle]\measuredangle & \K[\STIXsphericalangleup]\sphericalangleup \\ \K[\STIXgtlpar]\gtlpar & \K[\STIXmeasuredangleleft]\measuredangleleft & \K[\STIXthreedangle]\threedangle \\ \K[\STIXmeasangledltosw]\measangledltosw & \K[\STIXmeasuredrightangle]\measuredrightangle & \K[\STIXturnangle]\turnangle \\ \K[\STIXmeasangledrtose]\measangledrtose & \K[\STIXrangledownzigzagarrow]\rangledownzigzagarrow & \K[\STIXwideangledown]\wideangledown \\ \K[\STIXmeasangleldtosw]\measangleldtosw & \K[\STIXrevangle]\revangle & \K[\STIXwideangleup]\wideangleup \\ \K[\STIXmeasanglelutonw]\measanglelutonw & \K[\STIXrevangleubar]\revangleubar & \\ \K[\STIXmeasanglerdtose]\measanglerdtose & \K[\STIXrightangle]\rightangle & \\ \end{tabular} \end{symtable} \begin{symtable}{Miscellaneous \latexE\ Math Symbols} \idxboth{miscellaneous}{symbols} \index{dots (ellipses)} \index{ellipses (dots)} \index{null set} \index{empty set} \index{dotless i=dotless $i~(\imath)$>math mode} \index{dotless j=dotless $j~(\jmath)$>math mode} \index{angles} \index{rhombuses} \index{infinity} \index{primes} \label{ord} \ifAMS \def\AMSfn{$^\ddag$} \else \def\AMSfn{} \fi \begin{tabular}{*4{ll}} \X\aleph & \X\Box$^{*,\dag}$ & \X\nabla & \X\triangle \\ \X\emptyset\AMSfn & \X\Diamond$^*$ & \X\neg & \\ \X\angle & \X\infty & \X\prime & \\ \X\backslash & \X\mho$^*$ & \X\surd & \\ \end{tabular} \bigskip \begin{tablenote}[*] Not predefined in \latexE. Use one of the packages \pkgname{latexsym}, \pkgname{amsfonts}, \pkgname{amssymb}, \pkgname{txfonts}, \pkgname{pxfonts}, or \pkgname{wasysym}. Note, however, that \pkgname{amsfonts} and \pkgname{amssymb} define \cmdX{\Diamond} to produce the same glyph as \ifAMS \cmdX{\lozenge}~(``$\lozenge$'');\index{rhombuses} \else \cmd{\lozenge};\index{rhombuses} \fi the other packages produce a squarer \cmdX{\Diamond} as depicted above. \end{tablenote} \bigskip \begin{tablenote}[\dag] To use \cmdX{\Box}---or any other symbol---as an end-of-proof (Q.E.D\@.)\index{Q.E.D.}\index{end of proof}\index{proof, end of} marker, consider using the \pkgname{ntheorem} package, which properly juxtaposes a symbol with the end of the proof text. \end{tablenote} \ifAMS \bigskip \begin{tablenote}[\ddag] Many people prefer the look of \AMS's \cmdX{\varnothing} (``$\varnothing$'', \ref{ams-misc}) to that of \latex's \cmdX{\emptyset}. \end{tablenote} \fi % AMS test \end{symtable} \begin{symtable}[AMS]{Miscellaneous \AMS\ Math Symbols} \idxboth{miscellaneous}{symbols} \index{stars} \index{triangles} \index{null set} \index{empty set} \index{rhombuses} \index{primes} \label{ams-misc} \begin{tabular}{*3{ll}} \X\backprime & \X\blacktriangledown & \X\mho \\ \X\bigstar & \X\diagdown & \X\square \\ \X\blacklozenge & \X\diagup & \X\triangledown \\ \X\blacksquare & \X\eth & \X\varnothing \\ \X\blacktriangle & \X\lozenge & \X\vartriangle \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{Miscellaneous \WASY\ Math Symbols} \index{angles} \index{rhombuses} \label{wasy-math} \begin{tabular}{*4{ll}} \X[\WASYBox]\Box & \X[\WASYDiamond]\Diamond & \X\mho$^*$ & \K\varangle \\ \end{tabular} \bigskip \begin{tablenote}[*] \WASY\ also defines an \cmdI{\agemO} symbol, which is the same glyph as \cmdX{\mho} but is intended for use in text mode. \end{tablenote} \end{symtable} \begin{symtable}[TX]{Miscellaneous \TXPX\ Math Symbols} \idxboth{miscellaneous}{symbols} \index{rhombuses} \label{txpx-misc} \begin{tabular}{*2{ll}} \X\Diamondblack & \X\lambdabar \\ \X\Diamonddot & \X\lambdaslash \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{Miscellaneous \ABX\ Math Symbols} \idxboth{miscellaneous}{symbols} \index{null set} \index{semidirect products} \index{angles} \index{pitchforks} \index{infinity} \label{abx-misc} \begin{tabular}{*4{ll}} \X[\ABXdegree]\degree & \X[\ABXfourth]\fourth & \X[\ABXmeasuredangle]\measuredangle & \X[\ABXsecond]\second \\ \X[\ABXdiagdown]\diagdown & \X[\ABXhash]\hash & \X[\ABXpitchfork]\pitchfork & \X[\ABXsphericalangle]\sphericalangle \\ \X[\ABXdiagup]\diagup & \X[\ABXinfty]\infty & \X[\ABXpropto]\propto & \X[\ABXthird]\third \\ \X[\ABXdiameter]\diameter & \X[\ABXleftthreetimes]\leftthreetimes & \X[\ABXrightthreetimes]\rightthreetimes & \X[\ABXvarhash]\varhash \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{Miscellaneous \MNS\ Math Symbols} \idxboth{miscellaneous}{symbols} \index{null set} \index{empty set} \index{integrals} \index{check marks} \index{infinity} \index{primes} \label{mns-misc} \begin{tabular}{*4{ll}} \K[\MNSbackneg]\backneg & \K[\MNSdiameter]\diameter & \K[\MNSinvneg]\invneg & \K[\MNSneg]\neg \\ \K[\MNSbackprime]\backprime & \K[\MNSinfty]\infty & \K[\MNSmaltese]\maltese & \K[\MNSprime]\prime \\ \K[\MNScheckmark]\checkmark & \K[\MNSinvbackneg]\invbackneg & \K[\MNSnabla]\nabla & \K[\MNSsmallint]\smallint \\ \end{tabular} \bigskip \begin{tablenote} \MNS\ defines \cmdI[\MNSdiameter]{\emptyset} and \cmdI[\MNSdiameter]{\varnothing} as synonyms for \cmdI[\MNSdiameter]{\diameter}; \cmdI[\MNSneg]{\lnot} and \cmdI[\MNSneg]{\minushookdown} as synonyms for \cmdI[\MNSneg]{\neg}; \cmdI[\MNSinvneg]{\minushookup} as a synonym for \cmdI[\MNSinvneg]{\invneg}; \cmdI[\MNSbackneg]{\hookdownminus} as a synonym for \cmdI[\MNSbackneg]{\backneg}; and, \cmdI[\MNSinvbackneg]{\hookupminus} as a synonym for \cmdI[\MNSinvbackneg]{\invbackneg}. \end{tablenote} \end{symtable} \begin{symtable}[MNS]{Miscellaneous Internal \MNS\ Math Symbols} \idxboth{miscellaneous}{symbols} \label{mns-misc-internal} \begin{tabular}{*2{ll}} \K[\smash\MNSpartialvardint]\partialvardint & \K[\smash\MNSpartialvartint]\partialvartint \\ \K[\smash\MNSpartialvardlanddownint]\partialvardlanddownint & \K[\smash\MNSpartialvartlanddownint]\partialvartlanddownint \\ \K[\smash\MNSpartialvardlandupint]\partialvardlandupint & \K[\smash\MNSpartialvartlandupint]\partialvartlandupint \\ \K[\smash\MNSpartialvardlcircleleftint]\partialvardlcircleleftint & \K[\smash\MNSpartialvartlcircleleftint]\partialvartlcircleleftint \\ \K[\smash\MNSpartialvardlcirclerightint]\partialvardlcirclerightint & \K[\smash\MNSpartialvartlcirclerightint]\partialvartlcirclerightint \\ \K[\smash\MNSpartialvardoiint]\partialvardoiint & \K[\smash\MNSpartialvartoiint]\partialvartoiint \\ \K[\smash\MNSpartialvardoint]\partialvardoint & \K[\smash\MNSpartialvartoint]\partialvartoint \\ \K[\smash\MNSpartialvardrcircleleftint]\partialvardrcircleleftint & \K[\smash\MNSpartialvartrcircleleftint]\partialvartrcircleleftint \\ \K[\smash\MNSpartialvardrcirclerightint]\partialvardrcirclerightint & \K[\smash\MNSpartialvartrcirclerightint]\partialvartrcirclerightint \\ \K[\smash\MNSpartialvardstrokedint]\partialvardstrokedint & \K[\smash\MNSpartialvartstrokedint]\partialvartstrokedint \\ \K[\smash\MNSpartialvardsumint]\partialvardsumint & \K[\smash\MNSpartialvartsumint]\partialvartsumint \\ \end{tabular} \bigskip \begin{tablenote} These symbols are intended to be used internally by \MNS\ to construct the integrals appearing in \vref{mns-large} but can nevertheless be used in isolation. \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{Miscellaneous \FDSYM\ Math Symbols} \idxboth{miscellaneous}{symbols} \index{null set} \index{empty set} \index{integrals} \index{check marks} \index{infinity} \index{primes} \label{fdsym-misc} \begin{tabular}{*3{ll}} \K[\FDSYMbackneg]\backneg & \K[\FDSYMinfty]\infty & \K[\FDSYMprime]\prime \\ \K[\FDSYMbackprime]\backprime & \K[\FDSYMinvneg]\invneg & \K[\FDSYMrevemptyset]\revemptyset \\ \K[\FDSYMcheckmark]\checkmark & \K[\FDSYMmaltese]\maltese & \K[\FDSYMsector]\sector \\ \K[\FDSYMemptyset]\emptyset & \K[\FDSYMneg]\neg & \K[\FDSYMsmallint]\smallint \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines \cmdI[\string\FDSYMhookdownminus]{\hookdownminus} as a synonym for \cmdI[\string\FDSYMbackneg]{\backneg}; \cmdI[\string\FDSYMinvneg]{\invneg} and \cmdI[\string\FDSYMinvnot]{\invnot} as synonyms for \cmdI[\string\FDSYMbackneg]{\backneg}; \cmdI[\string\FDSYMlnot]{\lnot} and \cmdI[\string\FDSYMminushookdown]{\minushookdown} as synonyms for \cmdI[\string\FDSYMneg]{\neg}; \cmdI[\string\FDSYMturnedbackneg]{\turnedbackneg} as a synonym for \cmdI[\string\FDSYMintprodr]{\intprodr}; \cmdI[\string\FDSYMturnedneg]{\turnedneg} as a synonym for \cmdI[\string\FDSYMintprod]{\intprod}; and \cmdI[\string\FDSYMdiameter]{\diameter} and \cmdI[\string\FDSYMvarnothing]{\varnothing} as synonyms for \cmdI[\string\FDSYMemptyset]{\emptyset}. \end{tablenote} \end{symtable} \begin{symtable}[BSK]{Miscellaneous \BSK\ Math Symbols} \idxboth{miscellaneous}{symbols} \index{null set} \index{empty set} \index{check marks} \index{primes} \label{bsk-misc} \begin{tabular}{*3{ll}} \K[\BSKbackepsilon]\backepsilon & \K[\BSKhermitmatrix]\hermitmatrix & \K[\BSKnotbot]\notbot \\ \K[\BSKbackprime]\backprime & \K[\BSKiinfin]\iinfin & \K[\BSKnottop]\nottop \\ \K[\BSKcheckmark]\checkmark & \K[\BSKinvnot]\invnot & \K[\BSKriota]\riota \\ \K[\BSKdalambert]\dalambert & \K[\BSKlambdabar]\lambdabar & \K[\BSKsinewave]\sinewave \\ \K[\BSKdiagdown]\diagdown & \K[\BSKlambdaslash]\lambdaslash & \K[\BSKvarnothing]\varnothing \\ \K[\BSKdiagup]\diagup & \K[\BSKmaltese]\maltese & \\ \end{tabular} \end{symtable} \begin{longsymtable}[STIX]{Miscellaneous \STIX\ Math Symbols} \ltindex{check marks} \ltindex{faces} \ltindex{smiley faces} \ltindex{outer joins} \ltidxboth{database}{symbols} \ltidxboth{relational database}{symbols} \ltidxboth{engineering}{symbols} \ltidxboth{currency}{symbols} \ltindex{Q.E.D.} \ltindex{end of proof} \ltindex{proof, end of} \label{stix-misc} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXaccurrent]\accurrent & \K[\STIXhermitmatrix]\hermitmatrix & \K[\STIXPropertyLine]\PropertyLine \\ \K[\STIXbackslash]\backslash & \K[\STIXhyphenbullet]\hyphenbullet & \K[\STIXQED]\QED \\ \K[\STIXbbrktbrk]\bbrktbrk & \K[\STIXhzigzag]\hzigzag & \K[\STIXQuestion]\Question \\ \K[\STIXbigbot]\bigbot & \K[\STIXincrement]\increment & \K[\STIXrdiagovfdiag]\rdiagovfdiag \\ \K[\STIXbiginterleave]\biginterleave & \K[\STIXinversebullet]\inversebullet & \K[\STIXrightouterjoin]\rightouterjoin \\ \K[\STIXbigtop]\bigtop & \K[\STIXinvnot]\invnot & \K[\STIXsansLmirrored]\sansLmirrored \\ \K[\STIXblacksmiley]\blacksmiley & \K[\STIXJoin]\Join & \K[\STIXsansLturned]\sansLturned \\ \K[\STIXbracevert]\bracevert & \K[\STIXlaplac]\laplac & \K[\STIXsinewave]\sinewave \\ \K[\STIXcaretinsert]\caretinsert & \K[\STIXleftouterjoin]\leftouterjoin & \K[\STIXstrns]\strns \\ \K[\STIXcheckmark]\checkmark & \K[\STIXllarc]\llarc & \K[\STIXthermod]\thermod \\ \K[\STIXconictaper]\conictaper & \K[\STIXlrarc]\lrarc & \K[\STIXtopcir]\topcir \\ \K[\STIXdanger]\danger & \K[\STIXmaltese]\maltese & \K[\STIXturnednot]\turnednot \\ \K[\STIXdiagdown]\diagdown & \K[\STIXmathsection]\mathsection & \K[\STIXubrbrak]\ubrbrak \\ \K[\STIXdiagup]\diagup & \K[\STIXmathvisiblespace]\mathvisiblespace & \K[\STIXularc]\ularc \\ \K[\STIXdiameter]\diameter & \K[\STIXnabla]\nabla & \K[\STIXurarc]\urarc \\ \K[\STIXdingasterisk]\dingasterisk & \K[\STIXneg]\neg$^*$ & \K[\STIXviewdata]\viewdata \\ \K[\STIXelinters]\elinters & \K[\STIXobrbrak]\obrbrak & \K[\STIXvzigzag]\vzigzag \\ \K[\STIXeth]\eth & \K[\STIXperps]\perps & \K[\STIXyen]\yen \\ \K[\STIXExclam]\Exclam & \K[\STIXpostalmark]\postalmark & \K[\STIXzcmp]\zcmp \\ \K[\STIXfdiagovrdiag]\fdiagovrdiag & \K[\STIXprofline]\profline & \K[\STIXzpipe]\zpipe \\ \K[\STIXfullouterjoin]\fullouterjoin & \K[\STIXprofsurf]\profsurf & \K[\STIXzproject]\zproject \\ \end{longtable} \begin{tablenote}[*] \STIX\ defines \cmdI[\string\STIXlnot]{\lnot} as a synonym for \cmdI[\string\STIXneg]{\neg}. \end{tablenote} \end{longsymtable} \begin{symtable}[EOPROOF]{\EOPROOF\ End-of-Proof Symbols} \index{Q.E.D.} \index{end of proof} \index{proof, end of} \label{endofproof} \begin{tabular}{ll} \K\wasserdicht \\ \end{tabular} \bigskip \begin{tablenote} \texttt{\string\wasserdicht} is implemented as an external PDF graphic. The command in fact typesets the symbol flush right on the page to signify the end of proof. To use the command in inline text, simply load the underlying graphic file directly: \vspace{-\baselineskip} \begin{verbatim} \includegraphics[width=10pt]{endofproofwd.pdf} \end{verbatim} \end{tablenote} \end{symtable} \begin{symtable}{Miscellaneous \TC\ Text-mode Math Symbols} \index{fractions} \label{tc-math} \ifFRAC \def\FRACfn{$^\dag$} \else \def\FRACfn{} \fi \begin{tabular}{*3{ll}} \K\textdegree$^*$ & \K\textonehalf\FRACfn & \K\textthreequarters\FRACfn \\ \K\textdiv & \K\textonequarter\FRACfn & \K\textthreesuperior \\ \K\textfractionsolidus & \K\textonesuperior & \K\texttimes \\ \K\textlnot & \K\textpm & \K\texttwosuperior \\ \K\textminus & \K\textsurd \\ \end{tabular} \bigskip \begin{tablenote}[*] If you prefer a larger degree symbol you might consider defining one as ``\verb|\ensuremath{^\circ}|''~(``$^\circ$'')% \indexcommand[$\string\circ$]{\circ}. \end{tablenote} \ifFRAC \bigskip \begin{tablenote}[\dag] \pkgname{nicefrac} (part of the \pkgname{units} package) or the newer \pkgname{xfrac} package can be used to construct vulgar fractions like ``\nicefrac{1}{2}'', ``\nicefrac{1}{4}'', ``\nicefrac{3}{4}'', and even ``\nicefrac{c}{o}''\index{care of=care of (\nicefrac{c}{o})}. \end{tablenote} \fi % FRAC test \end{symtable} \begin{symtable}[FGE]{Miscellaneous \FGE\ Math Symbols} \index{angles} \index{infinity} \idxboth{Frege logic}{symbols} \label{fge-misc} \begin{tabular}{*3{ll@{\qquad}}ll} \K\fgebackslash & \K\fgecap & \K\fgecupacute & \K\fgelangle \\ \K\fgebaracute & \K\fgecapbar & \K\fgecupbar & \K\fgeupbracket \\ \K\fgebarcap & \K\fgecup & \K\fgeinfty & \\ \end{tabular} \end{symtable} \begin{symtable}[MDES]{Miscellaneous \MDES\ Math Symbols} \idxboth{miscellaneous}{symbols} \index{angles} \label{mdes-misc} \begin{tabular}{ll} \K[\MDESrightangle]\rightangle \end{tabular} \end{symtable} % Because the Math Alphabets table is a bit different from the symbol % tables in this document we start it on its own page to emphasize it % and to include enough room for some of the table notes. \clearpage \begin{symtable}{Math Alphabets} \idxboth{math}{alphabets} \label{alphabets} \begin{tabular}{@{}ll>{\ttfamily}ll@{}} \toprule Font sample & Generating command & \normalfont \tex\ font & Required package \\ \midrule \Wf\mathrm{ABCdef123} & cmr10 & \textit{none} \\ \Ww\textit\mathit{ABCdef123} & cmmi10 & \textit{none} \\ \Wf\mathnormal{ABCdef123}& cmmi10 & \textit{none} \\ \Ww\CMcal\mathcal{ABC} & cmsy10 & \textit{none} \\ \ifx\mathscr\undefined\else \Wf\mathscr{ABC} & rsfs10 & \pkgname{mathrsfs} \\ \multicolumn{1}{r@{}}{\emph{or}} & \verb|\mathcal{ABC}| & rsfs10 & \pkgname{calrsfs} \\ \fi \ifEU \Wf\mathcal{ABC} & eusm10 & \pkgname[pkg=amsfonts]{euscript} with the \optname{euscript}{mathcal} option \\ \multicolumn{1}{r@{}}{\emph{or}} & \verb|\mathscr{ABC}| & eusm10 & \pkgname[pkg=amsfonts]{euscript} with the \optname{euscript}{mathscr} option \\ \fi \ifRSFSO \Ww\RSFSmathcal\mathcal{ABC} & rsfso10 & \pkgname{rsfso} \\ \multicolumn{1}{r@{}}{\emph{or}} & \verb|\mathscr{ABC}| & rsfso10 & \pkgname{rsfso} with the \optname{rsfso}{scr} option \\ \fi \ifCHAN \Ww\CHANmathcal\mathcal{ABC} & urwchancal & \pkgname{urwchancal}$^*$ \\ \multicolumn{1}{r@{}}{\emph{or}} & \verb|\mathscr{ABC}| & urwchancal & \pkgname{urwchancal}$^*$ with the \optname{urwchancal}{mathscr} option \\ \fi \ifx\mathbb\undefined\else \Wf\mathbb{ABC} & msbm10 & \pkgname{amsfonts},% \ifx\MSYMmathbb\undefined\else$^\S$~\fi \pkgname{amssymb}, \pkgname{txfonts}, or \pkgname{pxfonts} \\ \fi \ifx\varmathbb\undefined\else \Wf\varmathbb{ABC} & txmia & \pkgname{txfonts} or \pkgname{pxfonts} \\ \fi \ifx\BBmathbb\undefined\else \Ww\BBmathbb\mathbb{ABCdef123} & bbold10 & \pkgname{bbold} or \pkgname{mathbbol}$^\dag$ \\ \fi \ifx\MBBmathbb\undefined\else \Ww\MBBmathbb\mathbb{ABCdef123} & mbb10 & \pkgname{mbboard}$^\dag$ \\ \fi \ifx\mathbbm\undefined\else \Wf\mathbbm{ABCdef12} & bbm10 & \pkgname{bbm} \\ \Wf\mathbbmss{ABCdef12} & bbmss10 & \pkgname{bbm} \\ \Wf\mathbbmtt{ABCdef12} & bbmtt10 & \pkgname{bbm} \\ \fi \ifx\mathds\undefined\else \Wf\mathds{ABC1} & dsrom10 & \pkgname[pkg=doublestroke]{dsfont} \\ \Ww\mathdsss\mathds{ABC1} & dsss10 & \pkgname[pkg=doublestroke]{dsfont} with the \optname{dsfont}{sans} option \\ \fi \ifx\dsserifbb\undefined\else \Ww\dsserifbb\mathbb{ABCdef123} & DSSerif & \pkgname{dsserif} \\ \Ww\dsserifbbb\mathbbb{ABCdef123} & DSSerif-Bold & \pkgname{dsserif} \\ \fi \ifx\symA\undefined\else \symA\symB\symC & \cmdI{\symA}\cmdI{\symB}\cmdI{\symC} & china10 & \pkgname{china2e}$^\ddag$ \\ \fi \ifx\mathfrak\undefined\else \Wf\mathfrak{ABCdef123} & eufm10 & \pkgname[pkg=amsfonts]{eufrak} \\ \fi \ifx\textfrak\undefined\else \Wf\textfrak{ABCdef123} & yfrak & \pkgname{yfonts}$^\P$ \\ \Wf\textswab{ABCdef123} & yswab & \pkgname{yfonts}$^\P$ \\ \Wf\textgoth{ABCdef123} & ygoth & \pkgname{yfonts}$^\P$ \\ \fi \bottomrule \end{tabular} \end{symtable} \unskip % Because we have so much text and because we're at the end of the % section, we put all of the table notes after the symtable to give % LaTeX the opportunity to split them across pages. \begin{center} \bigskip \begin{tablenote} The ``\tex\ font'' column lists the underlying \TeX\ font (or, more accurately, the \fileext{tfm} file) that provides the math alphabet. See the corresponding table in the associated \rawtables\ document for the math alphabet's complete character set. \end{tablenote} \ifCHAN \ifx\mathpzc\undefined\else \bigskip \begin{tablenote}[*] \CHAN\ redefines \cmd{\mathcal} or \cmd{\mathscr} to use \PSfont{Zapf Chancery} as the caligraphic or script font. However, like all \cmd{\mathcal} and \cmd{\mathscr} commands shown in \ref{alphabets}, these support only uppercase letters. An alternative is to put ``\verb|\DeclareMathAlphabet{\mathpzc}{OT1}{pzc}{m}{it}|'' in your document's preamble to make \verb|\mathpzc| typeset a wider set of characters in \PSfont{Zapf Chancery}. Unfortunately, with this technique accents, superscripts, and subscripts don't align as well as they do with \CHAN. \ifx\textcalligra\undefined\else As a similar trick, you can typeset the \PSfont{Calligra} font's script ``{\Large\textcalligra{r}\,}''\index{r=r (\textcalligra{r})}\index{Griffith's separation vector=Griffith's separation vector (\textcalligra{r})}\index{separation vector=separation vector (\textcalligra{r})} (or other calligraphic symbols) in math mode by loading the \pkgname{calligra} package and putting ``\verb|\DeclareMathAlphabet{\mathcalligra}{T1}{calligra}{m}{n}|'' in your document's preamble to make \verb|\mathcalligra| typeset its argument in the \PSfont{Calligra} font. You may also want to specify ``\verb|\DeclareFontShape{T1}{calligra}{m}{n}{<->s*[2.2]callig15}{}|'' to set \PSfont{Calligra} at 2.2~times its design size for a better blend with typical body fonts. \fi % textcalligra test \end{tablenote} \fi % mathpzc test \fi % CHAN test \ifx\BBmathbb\undefined\else \bigskip \begin{tablenote}[\dag] The \pkgname{mathbbol} package defines some additional blackboard bold characters: parentheses, square brackets, angle brackets, and---if the \optname{mathbbol}{bbgreekl} option is passed to \pkgname{mathbbol}---Greek\index{Greek>blackboard bold}\index{Greek>letters} letters. For instance, ``$\BBmathbb{\char`<\char`[\char`(\char"0B\char"0C\char"0D\char`)\char`]\char`>}$'' is produced by ``\cmd{\mathbb}\verb|{|\cmdI{\Langle}\linebreak[1]% \cmdI{\Lbrack}\linebreak[1]\cmdI{\Lparen}\linebreak[1]% \cmdI{\bbalpha}\linebreak[1]\cmdI{\bbbeta}\linebreak[1]% \cmdI{\bbgamma}\linebreak[1]\cmdI{\Rparen}\linebreak[1]% \cmdI{\Rbrack}\linebreak[1]\cmdI{\Rangle}\verb|}|''. \ifx\MBBmathbb\undefined \pkgname{mbboard} extends the blackboard bold symbol set significantly further. It supports not only the Greek\index{Greek>blackboard bold}\index{alphabets>Greek}\index{Greek>letters} alphabet---including ``Greek-like'' symbols such as \cmd{\bbnabla}---but also \emph{all} punctuation marks, various currency\idxboth{currency}{symbols}\idxboth{monetary}{symbols} symbols such as \cmd{\bbdollar} and \cmd{\bbeuro},\index{euro signs>blackboard bold} and the Hebrew\index{Hebrew}\index{alphabets>Hebrew} alphabet. \else \pkgname{mbboard} extends the blackboard bold symbol set significantly further. It supports not only the Greek\index{Greek>blackboard bold}\index{alphabets>Greek}\index{Greek>letters} alphabet---including ``Greek-like'' symbols such as \cmdI{\bbnabla}~(``\bbnabla'')---but also \emph{all} punctuation marks, various currency\idxboth{currency}{symbols}\idxboth{monetary}{symbols} symbols such as \cmdI{\bbdollar}~(``\bbdollar'') and \cmdI{\bbeuro}~(``\bbeuro''),\index{euro signs>blackboard bold} and the Hebrew\index{Hebrew}\index{alphabets>Hebrew} alphabet~(e.g.,~``\cmdI{\bbfinalnun}\linebreak[1]\cmdI{\bbyod}% \linebreak[1]\cmdI{\bbqof}\linebreak[1]\cmdI{\bbpe}''~$\rightarrow$ ``\bbfinalnun\bbyod\bbqof\bbpe''). \fi % MBBmathbb test \end{tablenote} \fi \ifx\symA\undefined\else \bigskip \begin{tablenote}[\ddag] The \verb|\sym|\dots\ commands provided by the \CHINA\ package are actually text-mode commands. They are included in \ref{alphabets} because they resemble the blackboard-bold symbols that appear in the rest of the table. In addition to the 26 letters of the English alphabet, \CHINA\ provides three umlauted% \index{accents>diaeresis=di\ae{}resis (\blackacchack\")} % "Generic" blackboard-bold letters: \cmdI{\symAE}~(``\symAE''), \cmdI{\symOE}~(``\symOE''), and \cmdI{\symUE}~(``\symUE''). Note that \CHINA\ does provide math-mode commands for the most common number-set symbols. These are presented in \vref{china-numsets}. \end{tablenote} \fi \ifx\textfrak\undefined\else \bigskip \begin{tablenote}[\P] As their \verb|\text|\dots{} names imply, the fonts provided by the \pkgname{yfonts} package are actually text fonts. They are included in \ref{alphabets} because they are frequently used in a mathematical context. \end{tablenote} \fi \ifx\MSYMmathbb\undefined\else \bigskip \begin{tablenote}[\S] An older (i.e.,~prior to~1991) version of the \AMS's fonts rendered $\mathbb{C}$, $\mathbb{N}$, $\mathbb{R}$, $\mathbb{S}$, and~$\mathbb{Z}$ as $\MSYMmathbb{C}$, $\MSYMmathbb{N}$, $\MSYMmathbb{R}$, $\MSYMmathbb{S}$, and~$\MSYMmathbb{Z}$. As some people prefer the older glyphs---much to the \AMS's surprise---and because those glyphs fail to build under modern versions of \metafont, \person{Berthold}{Horn} uploaded \postscript fonts for the older blackboard-bold glyphs to \CTAN, to the \texttt{fonts/msym10} directory. As of this writing, however, there are no \latexE packages for utilizing the now-obsolete glyphs. \end{tablenote} \fi \end{center} \idxbothend{mathematical}{symbols} \section{Science and technology symbols} \idxbothbegin{scientific}{symbols} \idxbothbegin{technological}{symbols} \tablesubsections This section lists symbols that are employed in various branches of science and engineering. \bigskip \begin{symtable}{\GSYMB\ Symbols Defined to Work in Both Math and Text Mode} \label{gsymb-math} \begin{tabular}{*2{ll@{\qquad}}ll} \K[\textcelsius]\celsius & \K[\textmu]\micro & \K[\textperthousand]\perthousand \\ \K[\textdegree]\degree & \K[\textohm]\ohm & \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ Electrical and Physical Symbols} \idxboth{electrical}{symbols} \idxboth{physical}{symbols} \index{photons} \label{wasy-electic} \begin{tabular}{*{9}{ll@{\qquad}}ll} \K\AC & \K\VHF & \K\photon & \K\HF & \K\gluon \\ \end{tabular} \end{symtable} \begin{symtable}[IFS]{\IFS\ Pulse Diagram Symbols} \idxboth{pulse diagram}{symbols} \idxboth{engineering}{symbols} \index{electrical impulse} \index{square impulse} \label{pulse-diagram} \begin{tabular}{*4{ll}} \K\FallingEdge & \K\LongPulseLow & \K\PulseLow & \K\ShortPulseHigh \\ \K\LongPulseHigh & \K\PulseHigh & \K\RaisingEdge & \K\ShortPulseLow \\ \end{tabular} \bigskip \begin{tablenote} In addition, within \verb|\textifsym{|$\ldots$\verb|}|\indexcommand{\textifsym}, the following codes are valid: \begin{center} \begin{tabular}{*5{ll@{\qqquad}}ll} \textifsym{l} & l & \textifsym{m} & m & \textifsym{h} & h & \textifsym{d} & d & \textifsym{<} & \textless & \textifsym{>} & \textgreater \\[4pt] \textifsym{L} & L & \textifsym{M} & M & \textifsym{H} & H & \textifsym{D} & D & \textifsym{<<} & \textless\textless & \textifsym{>>} & \textgreater\textgreater \\ \end{tabular} \end{center} This enables one to write ``\verb|\textifsym{mmmm}|'' to get ``\textifsym{mmmm}'' or ``\verb+\textifsym{L|H|L|H|L}+'' to get ``\textifsym{L|H|L|H|L}''. See also the \pkgname{timing} package, which provides a wide variety of pulse-diagram symbols within an environment designed specifically for typesetting pulse diagrams. Finally, \cmd{\textifsym} supports the display of segmented\idxboth{segmented}{numerals} digits, as would appear on an LCD\idxboth{LCD}{numerals}: ``\verb|\textifsym{-123.456}|'' produces ``\textifsym{-123.456}''. ``\verb|\textifsym{b}|'' outputs a blank with the same width as an ``\textifsym{8}''. \end{tablenote} \end{symtable} \begin{symtable}[ASP]{\ASP\ Aspect Ratio Symbol} \index{aspect ratio} \label{aspect-ratio} \begin{tabular}{ll} \K\AR \end{tabular} \end{symtable} \begin{symtable}{\TC\ Text-mode Science and Engineering Symbols} \label{tc-science} \begin{tabular}{*4{ll}} \K\textcelsius & \K\textmho & \K\textmu & \K\textohm \\ \end{tabular} \end{symtable} \begin{symtable}[STEIN]{\STEIN\ Extensible Phasor Symbol} \index{Steinmetz phasor notation} \index{angle notation} \index{symbols>extensible} \index{phasor} \label{steinmetz-phasor} \begin{tabular}{ll} \W\phase{abc} \\ \end{tabular} \bigskip \begin{tablenote} The \verb|\phase| command uses the \pkgname{pict2e} package to draw a horizontally and vertically scalable Steinmetz phasor symbol. Consequently, \verb|\phase| works only with those \tex backends supported by \pkgname{pict2e}. \seedocs{\pkgname{pict2e}}. \end{tablenote} \end{symtable} \begin{symtable}[EMF]{\EMF\ Electromotive Force Symbols} \index{electromotive force} \label{emf} \def\withopt#1{with package option \optname{emf}{#1}} \renewcommand{\arraystretch}{1.25} % Keep the symbols from touching. \begin{tabular}{ll@{~}l} \K[\emfboondox]\emf & \withopt{boondox} (default) \\ \K[\emfcal]\emf & \withopt{cal}$^*$ \\ \K[\emfcalligra]\emf & \withopt{calligra} \\ \K[\emfchorus]\emf & \withopt{chorus} \\ \K[\emfcmr]\emf & \withopt{cmr} \\ \K[\emffourier]\emf & \withopt{fourier} \\ \K[\emffrcursive]\emf & \withopt{frcursive} \\ \K[\emfmiama]\emf & \withopt{miama} \\ \K[\emfrsfs]\emf & \withopt{rsfs} \\ \end{tabular} \bigskip \begin{tablenote}[*] With the \optname{emf}{cal} package option, \verb|\emf| uses \cmd{\mathcal}. Hence, the depiction of ``E'' depends on the currently loaded math font. \end{tablenote} \end{symtable} \begin{symtable}[WASY]{\WASY\ Astronomical Symbols} \idxboth{astronomical}{symbols} \idxboth{astrological}{symbols} \idxboth{zodiacal}{symbols} \index{planets} \index{sun} \index{moon} \index{celestial bodies} \index{male} \index{female} \label{wasy-astro} \begin{tabular}{*5{ll}} \K\mercury & \K\earth & \K\jupiter & \K\uranus & \K\pluto \\ \K\venus & \K\mars & \K\saturn & \K\neptune & \\[3ex] \K\astrosun & \K\fullmoon & \K\leftmoon & \K\newmoon & \K\rightmoon \\[3ex] \K\aries & \K\cancer & \K\libra & \K\aquarius \\ \K\taurus & \K\leo & \K\scorpio & \K\capricornus \\ \K\gemini & \K\virgo & \K\sagittarius & \K\pisces \\[3ex] \K\ascnode & \K\descnode & \K\conjunction & \K\opposition & \K\vernal \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Astronomical Symbols} \idxboth{astronomical}{symbols} \idxboth{astrological}{symbols} \idxboth{zodiacal}{symbols} \index{planets} \index{sun} \index{moon} \index{celestial bodies} \index{male} \index{female} \label{marv-astro} \begin{tabular}{*5{ll}} \K\Mercury & \K\Earth & \K\Jupiter & \K\Uranus & \K\Pluto \\ \K\Venus & \K\Mars & \K\Saturn & \K\Neptune & \\[3ex] \K\Moon & \K\Sun \\[3ex] \K\Aries & \K\Cancer & \K\Libra & \K\Capricorn \\ \K\Taurus & \K\Leo & \K\Scorpio & \K\Aquarius \\ \K\Gemini & \K\Virgo & \K\Sagittarius & \K\Pisces \\ \end{tabular} \bigskip \begin{tablenote} Note that \cmdI{\Aries}\,$\ldots$\,\linebreak[1]\cmdI{\Pisces} can also be specified with \cmd{\Zodiac}\verb|{1}|\,$\ldots$\,\linebreak[1]\cmd{\Zodiac}\verb|{12}|. \end{tablenote} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Astronomical Symbols} \idxboth{astronomical}{symbols} \idxboth{astrological}{symbols} \idxboth{zodiacal}{symbols} \index{planets} \index{sun} \index{moon} \index{celestial bodies} \index{male} \index{female} \label{fontawesome-astro} \begin{tabular}{*3{ll}} \K\faMars & \K\faMoonO & \K\faVenus \\ \K\faMercury & \K\faSunO & \\ \end{tabular} \end{symtable} \begin{symtable}[ABX]{\ABX\ Astronomical Symbols} \idxboth{astronomical}{symbols} \idxboth{astrological}{symbols} \idxboth{zodiacal}{symbols} \index{planets} \index{sun} \index{moon} \index{celestial bodies} \index{male} \index{female} \label{abx-astro} \begin{tabular}{*5{ll}} \X[\ABXMercury]\Mercury & \X[\ABXEarth]\Earth & \X[\ABXJupiter]\Jupiter & \X[\ABXUranus]\Uranus & \X[\ABXPluto]\Pluto \\ \X[\ABXVenus]\Venus & \X[\ABXMars]\Mars & \X[\ABXSaturn]\Saturn & \X[\ABXNeptune]\Neptune & \X[\ABXvarEarth]\varEarth \\[3ex] \X[\ABXfullmoon]\fullmoon & \X[\ABXleftmoon]\leftmoon & \X[\ABXnewmoon]\newmoon & \X[\ABXrightmoon]\rightmoon & \X[\ABXSun]\Sun \\[3ex] \X[\ABXAries]\Aries & \X[\ABXTaurus]\Taurus & \X[\ABXGemini]\Gemini \\ \end{tabular} \bigskip \begin{tablenote} \ABX\ also defines \cmdI[$\string\ABXVenus$]{\girl} as an alias for \cmdI[$\string\ABXVenus$]{\Venus}, \cmdI[$\string\ABXMars$]{\boy} as an alias for \cmdI[$\string\ABXMars$]{\Mars}, and \cmdI[$\string\ABXleftmoon$]{\Moon} as an alias for \cmdI[$\string\ABXleftmoon$]{\leftmoon}. \end{tablenote} \end{symtable} \begin{symtable}[STIX]{\STIX\ Astronomical Symbols} \idxboth{astronomical}{symbols} \idxboth{astrological}{symbols} \idxboth{zodiacal}{symbols} \index{sun} \index{moon} \index{celestial bodies} \label{stix-astro} \begin{tabular}{*4{ll}} \K[\STIXastrosun]\astrosun & \K[\STIXleftmoon]\leftmoon & \K[\STIXrightmoon]\rightmoon & \K[\STIXsun]\sun \\ \end{tabular} \end{symtable} \begin{symtable}[STAR]{\STAR\ Astronomical Symbols} \idxboth{astronomical}{symbols} \idxboth{astrological}{symbols} \idxboth{zodiacal}{symbols} \index{elements} \index{asteroids} \index{planets} \index{sun} \index{moon} \index{celestial bodies} \index{male} \index{female} \index{angles} \index{hearts} \index{circles} \index{triangles} \index{geometric shapes} \index{stars} \index{arrows} \label{starfont} \begin{tabular}{*4{ll}} \K[\STARMercury]\Mercury & \K[\STARMars]\Mars & \K[\STARUranus]\Uranus & \K[\STARvarTerra]\varTerra \\ \K[\STARVenus]\Venus & \K[\STARJupiter]\Jupiter & \K[\STARNeptune]\Neptune & \K[\STARvarUranus]\varUranus \\ \K[\STARTerra]\Terra & \K[\STARSaturn]\Saturn & \K[\STARPluto]\Pluto & \K[\STARvarPluto]\varPluto \\[3ex] \K[\STARSun]\Sun & \K[\STARMoon]\Moon & \K[\STARvarMoon]\varMoon \\[3ex] \K[\STARCupido]\Cupido & \K[\STARZeus]\Zeus & \K[\STARApollon]\Apollon & \K[\STARVulkanus]\Vulkanus \\ \K[\STARHades]\Hades & \K[\STARKronos]\Kronos & \K[\STARAdmetos]\Admetos & \K[\STARPoseidon]\Poseidon \\[3ex] \K[\STARLilith]\Lilith & \K[\STARNorthNode]\NorthNode & \K[\STARSouthNode]\SouthNode \\[3ex] \K[\STARAmor]\Amor & \K[\STAREros]\Eros & \K[\STARJuno]\Juno & \K[\STARSappho]\Sappho \\ \K[\STARCeres]\Ceres & \K[\STARHidalgo]\Hidalgo & \K[\STARPallas]\Pallas & \K[\STARVesta]\Vesta \\ \K[\STARChiron]\Chiron & \K[\STARHygiea]\Hygiea & \K[\STARPsyche]\Psyche & \\[3ex] \K[\STARFortune]\Fortune \\[3ex] \K[\STARAries]\Aries & \K[\STARLeo]\Leo & \K[\STARSagittarius]\Sagittarius & \K[\STARvarCapricorn]\varCapricorn \\ \K[\STARTaurus]\Taurus & \K[\STARVirgo]\Virgo & \K[\STARCapricorn]\Capricorn & \\ \K[\STARGemini]\Gemini & \K[\STARLibra]\Libra & \K[\STARAquarius]\Aquarius & \\ \K[\STARCancer]\Cancer & \K[\STARScorpio]\Scorpio & \K[\STARPisces]\Pisces & \\[3ex] \K[\STARConjunction]\Conjunction & \K[\STARSquare]\Square & \K[\STARSemisextile]\Semisextile & \\ \K[\STAROpposition]\Opposition & \K[\STARSextile]\Sextile & \K[\STARSemisquare]\Semisquare & \\ \K[\STARTrine]\Trine & \K[\STARQuincunx]\Quincunx & \K[\STARSesquiquadrate]\Sesquiquadrate & \\[3ex] \K[\STARASC]\ASC & \K[\STAREastPoint]\EastPoint & \K[\STARMC]\MC \\ \K[\STARDSC]\DSC & \K[\STARIC]\IC & \K[\STARVertex]\Vertex \\[3ex] \K[\STARDirect]\Direct & \K[\STARRetrograde]\Retrograde & \K[\STARStation]\Station \\[3ex] \K[\STARAir]\Air & \K[\STAREarth]\Earth & \K[\STARFire]\Fire & \K[\STARWater]\Water \\[3ex] \K[\STARNatal]\Natal & \K[\STARPentagram]\Pentagram & \K[\STARRadix]\Radix \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ APL Symbols} \idxboth{APL}{symbols} \label{wasy-APLsym} \begin{tabular}{*3{ll}} \K\APLbox & \K\APLinv & \K\APLstar \\ \K\APLcomment & \K\APLleftarrowbox & \K\APLup \\ \K\APLdown & \K\APLlog & \K\APLuparrowbox \\ \K\APLdownarrowbox & \K\APLminus & \K\notbackslash \\ \K\APLinput & \K\APLrightarrowbox & \K\notslash \\[3ex] \W\APLcirc{a} & \W\APLnot{a} & \W\APLvert{a} \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ APL Symbols} \idxboth{APL}{symbols} \label{stix-APLsym} \begin{tabular}{*2{ll}} \K[\STIXAPLboxquestion]\APLboxquestion & \K[\STIXAPLnotbackslash]\APLnotbackslash \\ \K[\STIXAPLboxupcaret]\APLboxupcaret & \K[\STIXAPLnotslash]\APLnotslash \\ \end{tabular} \end{symtable} \begin{symtable}[APL]{\APL\ APL Symbols} \idxboth{APL}{symbols} \label{apl} \begin{tabular}{*8{ll}} \K\AB & \K\DD & \K\GD & \K\LK & \K\PD & \K\UA & \K\ZG & \K\ZQ \\ \K\AM & \K\DE & \K\GE & \K\LO & \K\QQ & \K\US & \K\ZH & \K\ZR \\ \K\BL & \K\DL & \K\GO & \K\LU & \K\RB & \K\UU & \K\ZI & \K\ZS \\ \K\BX & \K\DM & \K\GU & \K\NE & \K\RK & \K\XQ & \K\ZJ & \K\ZT \\ \K\CB & \K\DQ & \K\IB & \K[\APLNG]\NG & \K\RO & \K\ZA & \K\ZK & \K\ZU \\ \K\CE & \K\DU & \K\IO & \K\NN & \K\RU & \K\ZB & \K\ZL & \K\ZV \\ \K\CO & \K\EN & \K\LB & \K\NR & \K\RV & \K\ZC & \K\ZM & \K\ZW \\ \K\CR & \K\EP & \K\LD & \K\NT & \K\SO & \K\ZD & \K\ZN & \K\ZX \\ \K\CS & \K\FL & \K\LE & \K\OM & \K\SS & \K\ZE & \K\ZO & \K\ZY \\ \K\DA & \K\FM & \K\LG & \K\OR & \K\TR & \K\ZF & \K\ZP & \K\ZZ \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Computer Hardware Symbols} \idxboth{computer hardware}{symbols} \label{marv-computer} \begin{tabular}{*2{ll}ll} \K\ComputerMouse & \K\ParallelPort & \K\SerialInterface \\ \K\Keyboard & \K\Printer & \K\SerialPort \\ \end{tabular} \end{symtable} \begin{symtable}[KEYS]{\KEYS\ Computer Keys} \idxboth{keyboard}{symbols} \index{computer keys} \index{keys, computer} \index{arrows} \index{carriage return} \index{enter} \label{keystroke} \renewcommand{\arraystretch}{1.25} % Keep the symbols from touching. \begin{tabular}{*2{ll@{\qqquad}}ll} \K\Alt & \K\Enter$^*$ & \K\PrtSc$^*$ \\ \K\AltGr & \K\Esc$^*$ & \K\RArrow \\ \K\Break$^*$ & \K\Home$^*$ & \K\Return \\ \K[\keysBSpace]\BSpace$^\dag$ & \K\Ins$^*$ & \K\Scroll$^*$ \\ \K\Ctrl$^*$ & \K\LArrow & \K\Shift$^*$ \\ \K\DArrow & \K\NumLock & \K\Spacebar \\ \K\Del$^*$ & \K\PgDown$^*$ & \K[\keysTab]\Tab$^\dag$ \\ \K\End$^*$ & \K\PgUp$^*$ & \K\UArrow \\ \end{tabular} \bigskip \begin{tablenote}[*] Changes based on the language option passed to the \KEYS\ package. For example, the \optname{keystroke}{german} option makes \cmdI{\Del} produce ``\keystroke{Entf}'' instead of ``\Del''. \end{tablenote} \bigskip \begin{tablenote}[\dag] These symbols utilize the \pkgname{rotating} package and therefore display improperly in most DVI\index{DVI} viewers. \end{tablenote} \bigskip \begin{tablenote} The \verb|\keystroke|\indexaccent[\string\blackacc{\string\keystroke}]{\keystroke} command draws a key with an arbitrary label. For example, ``\verb|\keystroke{F7}|'' produces ``\keystroke{F7}''. \end{tablenote} \end{symtable} \begin{symtable}[ASCII]{\ASCII\ Control Characters (CP437)} \index{ASCII} \index{IBM PC} \index{control characters} \index{carriage return} \index{faces} \index{smiley faces} \index{frowny faces} \index{nonbreaking space} \index{code page 437} \label{ibm-ascii} \begin{tabular}{*4{ll@{\qqquad}}ll} \K\SOH & \K\BS & \K\SI & \K\SYN & \K\GS \\ \K\STX & \K[\asciiHT]\HT & \K\DLE & \K\ETB & \K\RS \\ \K\ETX & \K\LF & \K\DCa & \K\CAN & \K\US \\ \K\EOT & \K\VT & \K\DCb & \K\EM & \\ \K\ENQ & \K\FF & \K\DCc & \K\SUB & \\ \K\ACK & \K\CR & \K\DCd & \K\ESC & \\ \K\BEL & \K\SO & \K\NAK & \K\FS & \\[2ex] % \K\DEL & \K\NBSP & \K\NUL & \incsyms\indexcommand[\splitvert]{\splitvert}\splitvert & \multicolumn{2}{l}{\ttfamily\string\splitvert} \\ \end{tabular} \bigskip \begin{tablenote} Code Page~437 (CP437), which was first utilized by the original IBM~PC, uses the symbols \cmdI{\SOH} through \cmdI{\US} to depict \ascii characters~1--31 and \cmdI{\DEL} to depict \ascii character~127. The \cmdI{\NUL} symbol, not part of CP437, represents \ascii character~0. \cmdI{\NBSP}, also not part of CP437, represents a nonbreaking space. \cmdI{\splitvert} is merely the ``$|$'' character drawn as it was on the IBM~PC. \end{tablenote} \end{symtable} \begin{symtable}[LOGIC]{\LOGIC\ Logic Gates} \index{buffers} \index{inverters} \index{AND gates} \index{OR gates} \index{NAND gates} \index{NOR gates} \index{logic gates} \index{digital logic gates} \index{combinatorial logic gates} \index{Boolean logic gates} \index{symbols>gates, digital logic} \index{symbols>logic} \index{triangles} \label{mil-gates} \renewcommand{\arraystretch}{3} % Keep tall symbols from touching. \begin{tabular}{*3{ll@{\qquad}}ll} \K\ANDd & \K\BUFu & \K\NANDl & \K\ORd \\ \K\ANDl & \K\BusWidth & \K\NANDr & \K\ORl \\ \K\ANDr & \K\INVd & \K\NANDu & \K\ORr \\ \K\ANDu & \K\INVl & \K\NORd & \K\ORu \\ \K\BUFd & \K\INVr & \K\NORl & \\ \K\BUFl & \K\INVu & \K\NORr & \\ \K\BUFr & \K\NANDd & \K\NORu & \\ \end{tabular} \bigskip \begin{tablenote} The \LOGIC\ package implements the digital logic-gate symbols specified by the U.S. Department of Defense's MIL-STD-806\index{MIL-STD-806} standard. Note that on \CTAN, the package is \emph{called} \LOGIC, but the package is \emph{loaded} using \verb|\usepackage{milstd}|. (There was already a---completely unrelated---\pkgname{milstd} package on \CTAN at the time of \LOGIC's release.) Consequently, package details are listed under \pkgname{milstd} in \ref{doc-characteristics} and \ref{package-dates} \vpagerefrange{doc-characteristics}{package-dates}. \end{tablenote} \end{symtable} \begin{symtable}[MARV]{\MARV\ Communication Symbols} \idxboth{communication}{symbols} \label{marv-comm} \begin{tabular}{*4{ll}ll} \K\Email & \K\fax & \K\Faxmachine & \K\Lightning & \K\Pickup \\ \K\EmailCT & \K\FAX & \K\Letter & \K\Mobilefone & \K\Telefon \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Engineering Symbols} \idxboth{engineering}{symbols} \label{marv-engineering} \begin{tabular}{*3{ll}ll} \K\Beam & \K\Force & \K\Octosteel & \K\RoundedTTsteel \\ \K\Bearing & \K\Hexasteel & \K\Rectpipe & \K\Squarepipe \\ \K\Circpipe & \K\Lefttorque & \K\Rectsteel & \K\Squaresteel \\ \K\Circsteel & \K\Lineload & \K\Righttorque & \K\Tsteel \\ \K\Fixedbearing & \K\Loosebearing & \K\RoundedLsteel$^*$ & \K\TTsteel \\ \K\Flatsteel & \K\Lsteel & \K\RoundedTsteel$^*$ \\ \end{tabular} \bigskip \begin{tablenote}[*] \cmdI{\RoundedLsteel} and \cmdI{\RoundedTsteel} seem to be swapped, at least in the 2000/05/01 version of \pkgname{marvosym}. \end{tablenote} \end{symtable} \begin{symtable}[WASY]{\WASY\ Biological Symbols} \index{male} \index{female} \label{wasy-bio} \begin{tabular}{*2{ll}} \K\female & \K\male \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Biological Symbols} \index{male} \index{female} \label{stix-bio} \begin{tabular}{*2{ll}} \K[\STIXfemale]\female & \K[\STIXmale]\male \\ \K[\STIXHermaphrodite]\Hermaphrodite & \K[\STIXneuter]\neuter \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Biological Symbols} \idxboth{biological}{symbols} \index{male} \index{female} \label{marv-bio} \begin{tabular}{*3{ll}ll} \K\FEMALE & \K\FemaleMale & \K\Male & \K\Neutral \\ \K\Female & \K\Hermaphrodite & \K\MALE & \\ \K\FemaleFemale & \K\HERMAPHRODITE & \K\MaleMale & \\ \end{tabular} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Biological Symbols} \idxboth{biological}{symbols} \index{male} \index{female} \label{fontawesome-bio} \begin{tabular}{*3{ll}} \K\faGenderless & \K\faMarsStrokeH & \K\faTransgenderAlt \\ \K\faMars & \K\faMarsStrokeV & \K\faVenus \\ \K\faMarsDouble & \K\faNeuter & \K\faVenusDouble \\ \K\faMarsStroke & \K\faTransgender & \K\faVenusMars \\ \end{tabular} \bigskip \begin{tablenote} \FNTAWE\ defines \cmdI{\faIntersex} as a synonym for \cmdI{\faTransgender} \end{tablenote} \end{symtable} \begin{symtable}[MARV]{\MARV\ Safety-related Symbols} \idxboth{safety-related}{symbols} \label{marv-safety} \begin{tabular}{*3{ll}ll} \K\Biohazard & \K\CEsign & \K\Explosionsafe & \K\Radioactivity \\ \K\BSEfree & \K\Estatically & \K\Laserbeam & \K\Stopsign \\ \end{tabular} \end{symtable} \begin{symtable}[FEYN]{\FEYN\ Feynman Diagram Symbols} \index{Feynman-diagram symbols} \index{symbols>Feynman diagram} \index{particle-physics symbols} \index{symbols>particle physics} \index{bosons} \index{fermions} \index{gluons} \index{photons} \index{proper vertices} \index{subatomic particles} \label{feyn} \renewcommand{\arraystretch}{1.75} % Keep tall symbols from touching. \begin{tabular}{*2{ll@{\qquad}}ll} \K\bigbosonloop & \K\hfermion & \K\smallbosonloopV \\ \K\bigbosonloopA & \K\shfermion & \K\wfermion \\ \K\bigbosonloopV & \K\smallbosonloop & \K\whfermion \\ \K\gvcropped & \K\smallbosonloopA & \\ \end{tabular} \vspace{\baselineskip} \begin{tabular}{*3{ll@{\qquad}}ll} \Kfeyn{a} & \Kfeyn{fu} & \Kfeyn{glS} & \Kfeyn{hs} \\ \Kfeyn{c} & \Kfeyn{fv} & \Kfeyn{glu} & \Kfeyn{hu} \\ \Kfeyn{f} & \Kfeyn{g} & \Kfeyn{gu} & \Kfeyn{m} \\ \Kfeyn{fd} & \Kfeyn{g1} & \Kfeyn{gv} & \Kfeyn{ms} \\ \Kfeyn{fl} & \Kfeyn{gd} & \Kfeyn{gvs} & \Kfeyn{p} \\ \Kfeyn{flS} & \Kfeyn{gl} & \Kfeyn{h} & \Kfeyn{P} \\ \Kfeyn{fs} & \Kfeyn{glB} & \Kfeyn{hd} & \Kfeyn{x} \\ \end{tabular} \bigskip \begin{tablenote} All other arguments to the \verb|\feyn| command produce a ``~\feyn{?}~'' symbol. The \FEYN\ package provides various commands for composing the preceding symbols into complete Feynman diagrams. See the \FEYN\ documentation for examples and additional information. \end{tablenote} \end{symtable} \begin{longsymtable}[SVR]{\SVR\ Physics Ideograms} \ltindex{particle-physics symbols} \ltindex{symbols>particle physics} \ltindex{fermions} \ltindex{subatomic particles} \ltindex{photons} \label{svrsymbols} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\adsorbate & \K\experimentalsym & \K\protein \\ \K\adsorbent & \K\externalsym & \K\proton \\ \K\antimuon & \K\fermiDistrib & \K\quadrupole \\ \K\antineutrino & \K\fermion & \K\quark \\ \K\antineutron & \K\Gluon & \K\quarkb \\ \K\antiproton & \K\graphene & \K\quarkc \\ \K\antiquark & \K\graviton & \K\quarkd \\ \K\antiquarkb & \K\hbond & \K\quarks \\ \K\antiquarkc & \K\Higgsboson & \K\quarkt \\ \K\antiquarkd & \K\hole & \K\quarku \\ \K\antiquarks & \K\interaction & \K\reference \\ \K\antiquarkt & \K\internalsym & \K\resistivity \\ \K\antiquarku & \K\ion & \K\rhomesonminus \\ \K\anyon & \K\ionicbond & \K\rhomesonnull \\ \K\assumption & \K\Jpsimeson & \K\rhomesonplus \\ \K\atom & \K\Kaonminus & \K\solid \\ \K\bigassumption & \K\Kaonnull & \K\spin \\ \K\Bigassumption & \K\Kaonplus & \K\spindown \\ \K\biggassumption & \K\magnon & \K\spinup \\ \K\Bmesonminus & \K\maxwellDistrib & \K\surface \\ \K\Bmesonnull & \K\metalbond & \K\svrexample \\ \K\Bmesonplus & \K\method & \K\svrphoton \\ \K\bond & \K\muon & \K\tachyon \\ \K\boseDistrib & \K\neutrino & \K\tauleptonminus \\ \K\boson & \K\neutron & \K\tauleptonplus \\ \K\conductivity & \K\nucleus & \K\Tmesonminus \\ \K\covbond & \K\orbit & \K\Tmesonnull \\ \K\dipole & \K\phimeson & \K\Tmesonplus \\ \K\Dmesonminus & \K\phimesonnull & \K\triplecovbond \\ \K\Dmesonnull & \K\phonon & \K\Upsilonmeson \\ \K\Dmesonplus & \K\pionminus & \K\varphoton \\ \K\doublecovbond & \K\pionnull & \K\water \\ \K\electron & \K\pionplus & \K\Wboson \\ \K\errorsym & \K\plasmon & \K\Wbosonminus \\ \K\etameson & \K\polariton & \K\Wbosonplus \\ \K\etamesonprime & \K\polaron & \K\Zboson \\ \K\exciton & \K\positron & \\ \end{longtable} \end{longsymtable} \idxbothend{scientific}{symbols} \idxbothend{technological}{symbols} \section{Dingbats} \idxbothbegin{dingbat}{symbols} \tablesubsections Dingbats are symbols such as stars, arrows, and geometric shapes. They are commonly used as bullets in itemized lists or, more generally, as a means to draw attention to the text that follows. The \PI\ dingbat package warrants special mention. Among other capabilities, \PI\ provides a \latex\ interface to the \PSfont{Zapf Dingbats} font (one of the standard~35 \postscript\index{PostScript fonts} fonts). However, rather than name each of the dingbats individually, \PI\ merely provides a single \cmd{\ding} command, which outputs the character that lies at a given position in the font. The consequence is that the \PI\ symbols can't be listed by name in this document's index, so be mindful of that fact when searching for a particular symbol. \bigskip \begin{symtable}[DING]{\DING\ Arrows} \label{bbding-arrows} \begin{tabular}{*3{ll}} \K\ArrowBoldDownRight & \K\ArrowBoldRightShort & \K\ArrowBoldUpRight \\ \K\ArrowBoldRightCircled & \K\ArrowBoldRightStrobe \\ \end{tabular} \end{symtable} \begin{symtable}[PI]{\PI\ Arrows} \index{arrows} \idxboth{fletched}{arrows} \label{pi-arrows} \begin{tabular}{*5{ll}} \Tding{212} & \Tding{221} & \Tding{230} & \Tding{239} & \Tding{249} \\ \Tding{213} & \Tding{222} & \Tding{231} & \Tding{241} & \Tding{250} \\ \Tding{214} & \Tding{223} & \Tding{232} & \Tding{242} & \Tding{251} \\ \Tding{215} & \Tding{224} & \Tding{233} & \Tding{243} & \Tding{252} \\ \Tding{216} & \Tding{225} & \Tding{234} & \Tding{244} & \Tding{253} \\ \Tding{217} & \Tding{226} & \Tding{235} & \Tding{245} & \Tding{254} \\ \Tding{218} & \Tding{227} & \Tding{236} & \Tding{246} \\ \Tding{219} & \Tding{228} & \Tding{237} & \Tding{247} \\ \Tding{220} & \Tding{229} & \Tding{238} & \Tding{248} \\ \end{tabular} \end{symtable} \begin{symtable}[ADFSYM]{\ADFSYM\ Arrows} \index{arrows} \label{adf-arrows} \begin{tabular}{*4{ll}} \Tarr{e}{1} & \Tarr{ne}{1} & \Tarr{s}{1} & \Tarr{sw}{1} \\ \Tarr{e}{2} & \Tarr{ne}{2} & \Tarr{s}{2} & \Tarr{sw}{2} \\ \Tarr{e}{3} & \Tarr{ne}{3} & \Tarr{s}{3} & \Tarr{sw}{3} \\ \Tarr{e}{4} & \Tarr{ne}{4} & \Tarr{s}{4} & \Tarr{sw}{4} \\ \Tarr{e}{5} & \Tarr{ne}{5} & \Tarr{s}{5} & \Tarr{sw}{5} \\ \Tarr{e}{6} & \Tarr{ne}{6} & \Tarr{s}{6} & \Tarr{sw}{6} \\ \Tarr{n}{1} & \Tarr{nw}{1} & \Tarr{se}{1} & \Tarr{w}{1} \\ \Tarr{n}{2} & \Tarr{nw}{2} & \Tarr{se}{2} & \Tarr{w}{2} \\ \Tarr{n}{3} & \Tarr{nw}{3} & \Tarr{se}{3} & \Tarr{w}{3} \\ \Tarr{n}{4} & \Tarr{nw}{4} & \Tarr{se}{4} & \Tarr{w}{4} \\ \Tarr{n}{5} & \Tarr{nw}{5} & \Tarr{se}{5} & \Tarr{w}{5} \\ \Tarr{n}{6} & \Tarr{nw}{6} & \Tarr{se}{6} & \Tarr{w}{6} \\ \end{tabular} \bigskip \begin{tabular}{*2{ll}} \K\adfhalfarrowleft & \K\adfhalfarrowright \\ \K\adfhalfarrowleftsolid & \K\adfhalfarrowrightsolid \\ \end{tabular} \bigskip \begin{tablenote} Technically, the digit at the end of each \verb|\adfarrow|\meta{dir}\meta{digit} command is a macro argument, not part of the command name. The preceding symbols can also be produced by passing a number or a style/direction pair to the \cmd{\adfarrow} command. For example, both \verb|\adfarrow{19}| and \verb|\adfarrow[comic]{east}| produce~``\adfarrow{19}''. \seedocs{\ADFSYM}. \end{tablenote} \end{symtable} \begin{symtable}[ADFORN]{\ADFORN\ Arrows} \index{arrows} \label{adforn-arrows} \begin{tabular}{*2{ll}} \K\adfhalfleftarrow & \K\adfhalfrightarrowhead \\ \K\adfhalfleftarrowhead & \K\adfleftarrowhead \\ \K\adfhalfrightarrow & \K\adfrightarrowhead \\ \end{tabular} \end{symtable} \begin{symtable}[AREV]{\AREV\ Arrows} \index{arrows} \label{arev-arrows} \begin{tabular}{ll} \K[\AREVarrowbullet]\arrowbullet \\ \end{tabular} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Arrows} \index{arrows} \label{fontawesome-arrows} \begin{tabular}{*3{ll}} \K\faArrowCircleDown & \K\faArrowDown & \K\faLongArrowDown \\ \K\faArrowCircleLeft & \K\faArrowLeft & \K\faLongArrowLeft \\ \K\faArrowCircleODown & \K\faArrowRight & \K\faLongArrowRight \\ \K\faArrowCircleOLeft & \K\faArrows & \K\faLongArrowUp \\ \K\faArrowCircleORight & \K\faArrowsAlt & \K\faRepeat \\ \K\faArrowCircleOUp & \K\faArrowsH & \K\faUndo \\ \K\faArrowCircleRight & \K\faArrowsV & \\ \K\faArrowCircleUp & \K\faArrowUp & \\ \end{tabular} \bigskip \begin{tablenote} \FNTAWE\ defines \cmdI{\faRotateLeft} as a synonym for \cmdI{\faUndo} and \cmdI{\faRotateRight} as a synonym for \cmdI{\faRepeat}. \end{tablenote} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Chevrons} \index{chevrons} \label{fontawesome-chevrons} \begin{tabular}{*3{ll}} \K\faChevronCircleDown & \K\faChevronCircleUp & \K\faChevronRight \\ \K\faChevronCircleLeft & \K\faChevronDown & \K\faChevronUp \\ \K\faChevronCircleRight & \K\faChevronLeft & \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Scissors} \index{scissors} \label{marv-scissors} \begin{tabular}{*3{ll}} \K\CutLeft & \K\CuttingLine & \K\RightScissors \\ \K\CutRight & \K\LeftScissors & \\ \end{tabular} \end{symtable} \begin{symtable}[DING]{\DING\ Scissors} \index{scissors} \label{scissors} \begin{tabular}{*2{ll}} \K\ScissorHollowLeft & \K\ScissorLeftBrokenTop \\ \K\ScissorHollowRight & \K\ScissorRight \\ \K\ScissorLeft & \K\ScissorRightBrokenBottom \\ \K\ScissorLeftBrokenBottom & \K\ScissorRightBrokenTop \\ \end{tabular} \end{symtable} \begin{symtable}[PI]{\PI\ Scissors} \index{scissors} \label{pi-scissors} \begin{tabular}{*4{ll}} \Tding{33} & \Tding{34} & \Tding{35} & \Tding{36} \\ \end{tabular} \end{symtable} \begin{symtable}[ARK]{\ARK\ Pencils} \index{pencils} \vspace{1ex} \begin{tabular}{*2{ll}} \K[\ARKlargepencil]\largepencil & \K\smallpencil \\ \end{tabular} \end{symtable} \begin{symtable}[AREV]{\AREV\ Pencils} \index{pencils} \label{arev-pencils} \begin{tabular}{ll} \K[\AREVpencil]\pencil \\ \end{tabular} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Pencils} \index{pencils} \label{fontawesome-pencils} \begin{tabular}{*3{ll}} \K\faPencil & \K\faPencilSquare & \K\faPencilSquareO \\ \end{tabular} \end{symtable} \begin{symtable}[DING]{\DING\ Pencils and Nibs} \index{pencils} \index{nibs} \label{ding-pencils-nibs} \begin{tabular}{*3{ll}} \K\NibLeft & \K\PencilLeft & \K\PencilRightDown \\ \K\NibRight & \K\PencilLeftDown & \K\PencilRightUp \\ \K\NibSolidLeft & \K\PencilLeftUp \\ \K\NibSolidRight & \K\PencilRight \\ \end{tabular} \end{symtable} \begin{symtable}[PI]{\PI\ Pencils and Nibs} \index{pencils} \index{nibs} \label{pi-pencils} \begin{tabular}{*5{ll}} \Tding{46} & \Tding{47} & \Tding{48} & \Tding{49} & \Tding{50} \\ \end{tabular} \end{symtable} \begin{symtable}[ARK]{\ARK\ Fists} \index{fists} \label{ark-hands} \renewcommand{\arraystretch}{1.25} \begin{tabular}{*3{ll}} \K\leftpointright & \K\rightpointleft & \K\rightpointright \\ \K\leftthumbsdown & \K\rightthumbsdown \\ \K\leftthumbsup & \K\rightthumbsup \\ \end{tabular} \end{symtable} \begin{symtable}[DING]{\DING\ Fists} \index{fists} \label{hands} \begin{tabular}{*3{ll}} \K\HandCuffLeft & \K\HandCuffRightUp & \K\HandPencilLeft \\ \K\HandCuffLeftUp & \K\HandLeft & \K\HandRight \\ \K\HandCuffRight & \K\HandLeftUp & \K\HandRightUp \\ \end{tabular} \end{symtable} \begin{symtable}[PI]{\PI\ Fists} \index{fists} \label{pi-hands} \begin{tabular}{*4{ll}} \Tding{42} & \Tding{43} & \Tding{44} & \Tding{45} \\ \end{tabular} \end{symtable} \begin{symtable}[FOUR]{\FOUR\ Fists} \index{fists} \label{fourier-hands} \begin{tabular}{*2{ll}} \K\lefthand & \K\righthand \\ \end{tabular} \end{symtable} \begin{symtable}[AREV]{\AREV\ Fists} \index{fists} \label{arev-hands} \begin{tabular}{ll} \K[\AREVpointright]\pointright \end{tabular} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Fists} \index{fists} \index{rock/paper/scissors} \index{roshambo} \label{fontawesome-hands} \begin{tabular}{*3{ll}} \K\faHandLizardO & \K\faHandPaperO & \K\faHandSpockO \\ \K\faHandODown & \K\faHandPeaceO & \K\faThumbsDown \\ \K\faHandOLeft & \K\faHandPointerO & \K\faThumbsODown \\ \K\faHandORight & \K\faHandRockO & \K\faThumbsOUp \\ \K\faHandOUp & \K\faHandScissorsO & \K\faThumbsUp \\ \end{tabular} \bigskip \begin{tablenote} \FNTAWE\ defines \cmdI{\faHandGrabO} as a synonym for \cmdI{\faHandRockO} and \cmdI{\faHandStopO} as a synonym for \cmdI{\faHandPaperO}. \end{tablenote} \end{symtable} \begin{symtable}[DING]{\DING\ Crosses and Plusses} \index{crosses} \index{plusses} \index{crucifixes} \label{crosses-plusses} \begin{tabular}{*3{ll}} \K[\dingCross]\Cross & \K\CrossOpenShadow & \K\PlusOutline \\ \K\CrossBoldOutline & \K\CrossOutline & \K\PlusThinCenterOpen \\ \K\CrossClowerTips & \K\Plus \\ \K\CrossMaltese & \K\PlusCenterOpen \\ \end{tabular} \end{symtable} \begin{symtable}[PI]{\PI\ Crosses and Plusses} \index{crosses} \index{plusses} \index{crucifixes} \label{pi-crosses-plusses} \begin{tabular}{*4{ll}} \Tding{57} & \Tding{59} & \Tding{61} & \Tding{63} \\ \Tding{58} & \Tding{60} & \Tding{62} & \Tding{64} \\ \end{tabular} \end{symtable} \begin{symtable}[ADFSYM]{\ADFSYM\ Crosses and Plusses} \index{crosses} \index{plusses} \label{adf-crosses-plusses} \begin{tabular}{*4{ll}} \Tbul{4} & \Tbul{6} & \Tbul{8} & \Tbul{10} \\ \Tbul{5} & \Tbul{7} & \Tbul{9} & \\ \end{tabular} \end{symtable} \begin{symtable}[AREV]{\AREV\ Crosses} \index{crosses} \index{crucifixes} \label{arev-crosses} \begin{tabular}{*2{ll}} \K[\AREVeastcross]\eastcross & \K[\AREVwestcross]\westcross \\ \end{tabular} \end{symtable} \begin{symtable}[DING]{\DING\ Xs and Check Marks} \index{check marks} \index{Xs} \label{ding-check-marks} \begin{tabular}{*3{ll}} \K\Checkmark & \K\XSolid & \K\XSolidBrush \\ \K\CheckmarkBold & \K\XSolidBold \\ \end{tabular} \end{symtable} \begin{symtable}[PI]{\PI\ Xs and Check Marks} \index{check marks} \index{Xs} \label{pi-check-marks} \begin{tabular}{*3{ll}} \Tding{51} & \Tding{53} & \Tding{55} \\ \Tding{52} & \Tding{54} & \Tding{56} \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ Xs and Check Marks} \index{check marks} \index{Xs} \label{wasy-check-marks} \begin{tabular}{*6l} \K\CheckedBox & \K\Square & \K\XBox \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Xs and Check Marks} \index{check marks} \index{Xs} \label{marv-check-marks} \begin{tabular}{*3{ll}} \K\Checkedbox & \K\CrossedBox$^*$ & \K\HollowBox \\ \end{tabular} \bigskip \begin{tablenote}[*] \MARV\ defines \cmdI{\Crossedbox} as a synonym for \cmdI{\CrossedBox}. \end{tablenote} \end{symtable} \begin{symtable}[AREV]{\AREV\ Xs and Check Marks} \index{check marks} \index{Xs} \label{arev-check-marks} \begin{tabular}{*2{ll}} \K[\AREVballotcheck]\ballotcheck & \K[\AREVballotx]\ballotx \\ \end{tabular} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Xs and Check Marks} \index{check marks} \index{Xs} \label{fontawesome-check-marks} \begin{tabular}{*3{ll}} \K\faCheck & \K\faCheckSquare & \K\faTimesCircle \\ \K\faCheckCircle & \K\faCheckSquareO & \K\faTimesCircleO \\ \K\faCheckCircleO & \K\faTimes$^*$ & \\ \end{tabular} \bigskip \begin{tablenote}[*] \FNTAWE\ defines both \cmdI{\faClose} and \cmdI{\faRemove} as synonyms for \cmdI{\faTimes}. \end{tablenote} \end{symtable} \begin{symtable}[PI]{\PI\ Circled Numerals} \idxboth{circled}{numerals} \label{circled-numerals} \begin{tabular}{*4{ll}} \Tding{172} & \Tding{182} & \Tding{192} & \Tding{202} \\ \Tding{173} & \Tding{183} & \Tding{193} & \Tding{203} \\ \Tding{174} & \Tding{184} & \Tding{194} & \Tding{204} \\ \Tding{175} & \Tding{185} & \Tding{195} & \Tding{205} \\ \Tding{176} & \Tding{186} & \Tding{196} & \Tding{206} \\ \Tding{177} & \Tding{187} & \Tding{197} & \Tding{207} \\ \Tding{178} & \Tding{188} & \Tding{198} & \Tding{208} \\ \Tding{179} & \Tding{189} & \Tding{199} & \Tding{209} \\ \Tding{180} & \Tding{190} & \Tding{200} & \Tding{210} \\ \Tding{181} & \Tding{191} & \Tding{201} & \Tding{211} \\ \end{tabular} \bigskip \begin{tablenote} \PI\ (part of the \pkgname{psnfss} package) provides a \cmd{dingautolist} environment which resembles \texttt{enumerate} but uses circled numbers as bullets.\footnotemark{} \seedocs{\pkgname{psnfss}}. \end{tablenote} \end{symtable} \footnotetext{In fact, \cmd{dingautolist} can use any set of consecutive \PSfont{Zapf Dingbats} symbols.} \begin{symtable}[WASY]{\WASY\ Stars} \index{stars} \index{Jewish star}\index{Star of David} \label{wasy-stars} \begin{tabular}{*6l} \K\davidsstar & \K\hexstar & \K\varhexstar \end{tabular} \end{symtable} \begin{symtable}[DING]{\DING\ Stars, Flowers, and Similar Shapes} \index{asterisks} \index{clovers} \index{flowers} \index{ornaments} \index{sparkles} \index{snowflakes} \index{stars} \index{Jewish star}\index{Star of David} \label{star-like} \begin{tabular}{*3{ll}} \K\Asterisk & \K\FiveFlowerPetal & \K\JackStar \\ \K\AsteriskBold & \K\FiveStar & \K\JackStarBold \\ \K\AsteriskCenterOpen & \K\FiveStarCenterOpen & \K\SixFlowerAlternate \\ \K\AsteriskRoundedEnds & \K\FiveStarConvex & \K\SixFlowerAltPetal \\ \K\AsteriskThin & \K\FiveStarLines & \K\SixFlowerOpenCenter \\ \K\AsteriskThinCenterOpen & \K\FiveStarOpen & \K\SixFlowerPetalDotted \\ \K\DavidStar & \K\FiveStarOpenCircled & \K\SixFlowerPetalRemoved \\ \K\DavidStarSolid & \K\FiveStarOpenDotted & \K\SixFlowerRemovedOpenPetal \\ \K\EightAsterisk & \K\FiveStarOutline & \K\SixStar \\ \K\EightFlowerPetal & \K\FiveStarOutlineHeavy & \K\SixteenStarLight \\ \K\EightFlowerPetalRemoved & \K\FiveStarShadow & \K\Snowflake \\ \K\EightStar & \K\FourAsterisk & \K\SnowflakeChevron \\ \K\EightStarBold & \K\FourClowerOpen & \K\SnowflakeChevronBold \\ \K\EightStarConvex & \K\FourClowerSolid & \K\Sparkle \\ \K\EightStarTaper & \K\FourStar & \K\SparkleBold \\ \K\FiveFlowerOpen & \K\FourStarOpen & \K\TwelweStar \\ \end{tabular} \end{symtable} \begin{symtable}[PI]{\PI\ Stars, Flowers, and Similar Shapes} \index{asterisks} \index{clovers} \index{flowers} \index{ornaments} \index{snowflakes} \index{sparkles} \index{stars} \label{pi-star-like} \begin{tabular}{*5{ll}} \Tding{65} & \Tding{74} & \Tding{83} & \Tding{92} & \Tding{101} \\ \Tding{66} & \Tding{75} & \Tding{84} & \Tding{93} & \Tding{102} \\ \Tding{67} & \Tding{76} & \Tding{85} & \Tding{94} & \Tding{103} \\ \Tding{68} & \Tding{77} & \Tding{86} & \Tding{95} & \Tding{104} \\ \Tding{69} & \Tding{78} & \Tding{87} & \Tding{96} & \Tding{105} \\ \Tding{70} & \Tding{79} & \Tding{88} & \Tding{97} & \Tding{106} \\ \Tding{71} & \Tding{80} & \Tding{89} & \Tding{98} & \Tding{107} \\ \Tding{72} & \Tding{81} & \Tding{90} & \Tding{99} \\ \Tding{73} & \Tding{82} & \Tding{91} & \Tding{100} \\ \end{tabular} \end{symtable} \begin{symtable}[ADFSYM]{\ADFSYM\ Stars, Flowers, and Similar Shapes} \index{asterisks} \index{flowers} \index{ornaments} \index{sparkles} \index{snowflakes} \index{stars} \label{adf-star-like} \begin{tabular}{*4{ll}} \Tbul{1} & \Tbul{13} & \Tbul{18} & \Tbul{23} \\ \Tbul{2} & \Tbul{14} & \Tbul{19} & \Tbul{24} \\ \Tbul{3} & \Tbul{15} & \Tbul{20} & \Tbul{25} \\ \Tbul{11} & \Tbul{16} & \Tbul{21} & \Tbul{26} \\ \Tbul{12} & \Tbul{17} & \Tbul{22} & \\ \end{tabular} \end{symtable} \begin{symtable}[ADFORN]{\ADFORN\ Stars} \index{asterisks} \index{flowers} \index{ornaments} \index{sparkles} \index{snowflakes} \index{stars} \label{adforn-star-like} \begin{tabular}{*5{ll}} \Tast{1} & \Tast{3} & \Tast{5} & \Tast{7} & \Tast{9} \\ \Tast{2} & \Tast{4} & \Tast{6} & \Tast{8} & \Tast{10} \\ \end{tabular} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Stars} \index{stars} \label{fontawesome-stars} \begin{tabular}{*4{ll}} \K\faStar & \K\faStarHalf & \K\faStarHalfO & \K\faStarO \\ \end{tabular} \bigskip \begin{tablenote} \FNTAWE\ defines both \cmdI{\faStarHalfEmpty} and \cmdI{\faStarHalfFull} as synonyms for \cmdI{\faStarHalfO}. \end{tablenote} \end{symtable} \begin{symtable}[FOUR]{\FOUR\ Fleurons and Flowers} \index{flowers} \index{fleurons} \index{leaves} \index{ornaments} \index{stars} \label{fourier-orns} \begin{tabular}{*3{ll}} \K\aldine & \K\decoone & \K\floweroneright \\ \K\aldineleft & \K\decosix & \K\leafleft \\ \K\aldineright & \K\decothreeleft & \K\leafNE \\ \K\aldinesmall & \K\decothreeright & \K\leafright \\ \K\decofourleft & \K\decotwo & \K\starredbullet \\ \K\decofourright & \K\floweroneleft & \\ \end{tabular} \end{symtable} \begin{symtable}[ADFORN]{\ADFORN\ Fleurons and Flowers} \index{flowers} \index{fleurons} \index{leaves} \index{ornaments} \label{adforns-leaves} \begin{tabular}{*2{ll}} \K\adfdownhalfleafleft & \K\adfdownhalfleafright \\ \K\adfdownleafleft & \K\adfdownleafright \\ \K\adfflatdownhalfleafleft & \K\adfflatdownhalfleafright \\ \K\adfflatdownoutlineleafleft & \K\adfflatdownoutlineleafright \\ \K\adfflatleafleft & \K\adfflatleafright \\ \K\adfflatleafoutlineleft & \K\adfflatleafoutlineright \\ \K\adfflatleafsolidleft & \K\adfflatleafsolidright \\ \K\adfflowerleft & \K\adfflowerright \\ \K\adfhalfleafleft & \K\adfhalfleafright \\ \K\adfhangingflatleafleft & \K\adfhangingflatleafright \\ \K\adfhangingleafleft & \K\adfhangingleafright \\ \K\adfleafleft & \K\adfleafright \\ \K\adfoutlineleafleft & \K\adfoutlineleafright \\ \K\adfsmallhangingleafleft & \K\adfsmallhangingleafright \\ \K\adfsmallleafleft & \K\adfsmallleafright \\ \K\adfsolidleafleft & \K\adfsolidleafright \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ Geometric Shapes} \index{polygons} \index{circles} \index{geometric shapes} \label{wasy-geometrical} \begin{tabular}{*4{ll}} \K\Circle & \K\LEFTcircle & \K\octagon & \K\RIGHTcircle \\ \K\CIRCLE & \K\LEFTCIRCLE & \K\pentagon & \K\RIGHTCIRCLE \\ \K\hexagon & \K\Leftcircle & \K\Rightcircle & \K\varhexagon \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Geometric Shapes} \index{circles} \index{rhombuses} \index{squares} \index{triangles} \index{polygons} \index{stars} \index{geometric shapes} \label{mns-geometrical} \begin{tabular}{*3{ll}} \K[\MNSfilledlargestar]\filledlargestar & \K[\MNSlargelozenge]\largelozenge & \K[\MNSmedlozenge]\medlozenge \\ \K[\MNSfilledlozenge]\filledlozenge & \K[\MNSlargepentagram]\largepentagram & \K[\MNSmedstarofdavid]\medstarofdavid \\ \K[\MNSfilledmedlozenge]\filledmedlozenge & \K[\MNSlargesquare]\largesquare & \K[\MNSsmalllozenge]\smalllozenge \\ \K[\MNSlargecircle]\largecircle & \K[\MNSlargestar]\largestar & \\ \K[\MNSlargediamond]\largediamond & \K[\MNSlargestarofdavid]\largestarofdavid & \\ \end{tabular} \bigskip \begin{tablenote} \MNS\ defines \cmdI[\MNSlargecircle]{\bigcirc} as a synonym for \cmdI[\MNSlargecircle]{\largecircle}; \cmdI[\MNSfilledlargestar]{\bigstar} as a synonym for \cmdI[\MNSfilledlargestar]{\filledlargestar}; \cmdI[\MNSmedlozenge]{\lozenge} as a synonym for \cmdI[\MNSmedlozenge]{\medlozenge}; and, \cmdI[\MNSfilledmedlozenge]{\blacklozenge} as a synonym for \cmdI[\MNSfilledmedlozenge]{\filledmedlozenge}. \end{tablenote} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Geometric Shapes} \index{circles} \index{rhombuses} \index{squares} \index{triangles} \index{polygons} \index{stars} \index{geometric shapes} \label{fdsym-geometrical} \begin{tabular}{*3{ll}} \K[\FDSYMlargeblackcircle]\largeblackcircle & \K[\FDSYMlargetriangledown]\largetriangledown & \K[\FDSYMmedlozenge]\medlozenge \\ \K[\FDSYMlargeblacksquare]\largeblacksquare & \K[\FDSYMlargetriangleup]\largetriangleup & \K[\FDSYMsmallblacklozenge]\smallblacklozenge \\ \K[\FDSYMlargeblackstar]\largeblackstar & \K[\FDSYMlargewhitestar]\largewhitestar & \K[\FDSYMsmalllozenge]\smalllozenge \\ \K[\FDSYMlargecircle]\largecircle & \K[\FDSYMlozengeminus]\lozengeminus & \K[\FDSYMstarofdavid]\starofdavid \\ \K[\FDSYMlargesquare]\largesquare & \K[\FDSYMmedblacklozenge]\medblacklozenge & \\ \end{tabular} \bigskip \begin{tablenote} \FDSYM\ defines synonyms for almost all of the preceding symbols: \begin{tabular}{*3{ll}} \K[\FDSYMbigcirc]{\bigcirc} & \K[\FDSYMlgblksquare]{\lgblksquare} & \K[\FDSYMmdlgwhtlozenge]{\mdlgwhtlozenge} \\ \K[\FDSYMbigstar]{\bigstar} & \K[\FDSYMlgwhtcircle]{\lgwhtcircle} & \K[\FDSYMmdwhtlozenge]{\mdwhtlozenge} \\ \K[\FDSYMbigtriangledown]{\bigtriangledown} & \K[\FDSYMlgwhtsquare]{\lgwhtsquare} & \K[\FDSYMsmblklozenge]{\smblklozenge} \\ \K[\FDSYMbigtriangleup]{\bigtriangleup} & \K[\FDSYMlozenge]{\lozenge} & \K[\FDSYMsmwhtlozenge]{\smwhtlozenge} \\ \K[\FDSYMblacklozenge]{\blacklozenge} & \K[\FDSYMmdblklozenge]{\mdblklozenge} & \\ \K[\FDSYMlgblkcircle]{\lgblkcircle} & \K[\FDSYMmdlgblklozenge]{\mdlgblklozenge} & \\ \end{tabular} \end{tablenote} \end{symtable} \begin{symtable}[BSK]{\BSK\ Geometric Shapes} \index{rhombuses} \index{squares} \index{triangles} \index{polygons} \index{stars} \index{geometric shapes} \label{bsk-geometrical} \begin{tabular}{*3{ll}} \K[\BSKbigstar]\bigstar & \K[\BSKdiamond]\diamond & \K[\BSKtriangledown]\triangledown \\ \K[\BSKblacklozenge]\blacklozenge & \K[\BSKlozenge]\lozenge & \K[\BSKtriangleleft]\triangleleft \\ \K[\BSKblacksquare]\blacksquare & \K[\BSKlozengedot]\lozengedot & \K[\BSKtriangleright]\triangleright \\ \K[\BSKblacktriangle]\blacktriangle & \K[\BSKsquare]\square & \K[\BSKvarlrttriangle]\varlrttriangle \\ \K[\BSKblacktriangledown]\blacktriangledown & \K[\BSKstar]\star & \\ \end{tabular} \end{symtable} \begin{longsymtable}[STIX]{\STIX\ Geometric Shapes} \ltindex{circles} \ltindex{rhombuses} \ltindex{squares} \ltindex{triangles} \ltindex{polygons} \ltindex{stars} \ltindex{parallelograms} \ltindex{geometric shapes} \label{stix-geometrical} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\STIXacwopencirclearrow]\acwopencirclearrow & \K[\STIXdowntriangleleftblack]\downtriangleleftblack & \K[\STIXsmalltriangleleft]\smalltriangleleft \\ \K[\STIXbarovernorthwestarrow]\barovernorthwestarrow & \K[\STIXdowntrianglerightblack]\downtrianglerightblack & \K[\STIXsmalltriangleright]\smalltriangleright \\ \K[\STIXbenzenr]\benzenr & \K[\STIXenclosecircle]\enclosecircle & \K[\STIXsmblkdiamond]\smblkdiamond \\ \K[\STIXbigblacktriangledown]\bigblacktriangledown & \K[\STIXenclosediamond]\enclosediamond & \K[\STIXsmblklozenge]\smblklozenge \\ \K[\STIXbigblacktriangleup]\bigblacktriangleup & \K[\STIXenclosesquare]\enclosesquare & \K[\STIXsmblksquare]\smblksquare \\ \K[\STIXbigstar]\bigstar & \K[\STIXenclosetriangle]\enclosetriangle & \K[\STIXsmwhitestar]\smwhitestar \\ \K[\STIXbigtriangledown]\bigtriangledown & \K[\STIXerrbarblackcircle]\errbarblackcircle & \K[\STIXsmwhtcircle]\smwhtcircle \\ \K[\STIXbigtriangleleft]\bigtriangleleft & \K[\STIXerrbarblackdiamond]\errbarblackdiamond & \K[\STIXsmwhtdiamond]{\smwhtdiamond} \\ \K[\STIXbigtriangleup]\bigtriangleup & \K[\STIXerrbarblacksquare]\errbarblacksquare & \K[\STIXsmwhtlozenge]\smwhtlozenge \\ \K[\STIXbigwhitestar]\bigwhitestar & \K[\STIXerrbarcircle]\errbarcircle & \K[\STIXsmwhtsquare]\smwhtsquare \\ \K[\STIXblackcircledownarrow]\blackcircledownarrow & \K[\STIXerrbardiamond]\errbardiamond & \K[\STIXsqlozenge]\sqlozenge \\ \K[\STIXblackcircledrightdot]\blackcircledrightdot & \K[\STIXerrbarsquare]\errbarsquare & \K[\STIXsquarebotblack]\squarebotblack \\ \K[\STIXblackcircledtwodots]\blackcircledtwodots & \K[\STIXfisheye]\fisheye & \K[\STIXsquarecrossfill]\squarecrossfill \\ \K[\STIXblackcircleulquadwhite]\blackcircleulquadwhite & \K[\STIXfltns]\fltns & \K[\STIXsquarehfill]\squarehfill \\ \K[\STIXblackdiamonddownarrow]\blackdiamonddownarrow & \K[\STIXhexagon]\hexagon & \K[\STIXsquarehvfill]\squarehvfill \\ \K[\STIXblackinwhitediamond]\blackinwhitediamond & \K[\STIXhexagonblack]\hexagonblack & \K[\STIXsquareleftblack]\squareleftblack \\ \K[\STIXblackinwhitesquare]\blackinwhitesquare & \K[\STIXhouse]\house & \K[\STIXsquarellblack]\squarellblack \\ \K[\STIXblacklefthalfcircle]\blacklefthalfcircle & \K[\STIXhrectangle]\hrectangle & \K[\STIXsquarellquad]\squarellquad \\ \K[\STIXblacklozenge]\blacklozenge & \K[\STIXhrectangleblack]\hrectangleblack & \K[\STIXsquarelrblack]\squarelrblack \\ \K[\STIXblackpointerleft]\blackpointerleft & \K[\STIXinversewhitecircle]\inversewhitecircle & \K[\STIXsquarelrquad]\squarelrquad \\ \K[\STIXblackpointerright]\blackpointerright & \K[\STIXinvwhitelowerhalfcircle]\invwhitelowerhalfcircle & \K[\STIXsquareneswfill]\squareneswfill \\ \K[\STIXblackrighthalfcircle]\blackrighthalfcircle & \K[\STIXinvwhiteupperhalfcircle]\invwhiteupperhalfcircle & \K[\STIXsquarenwsefill]\squarenwsefill \\ \K[\STIXblacktriangle]\blacktriangle & \K[\STIXlgblkcircle]\lgblkcircle & \K[\STIXsquarerightblack]\squarerightblack \\ \K[\STIXblacktriangledown]\blacktriangledown & \K[\STIXlgblksquare]\lgblksquare & \K[\STIXsquaretopblack]\squaretopblack \\ \K[\STIXblacktriangleleft]\blacktriangleleft & \K[\STIXlgwhtcircle]\lgwhtcircle & \K[\STIXsquareulblack]\squareulblack \\ \K[\STIXblacktriangleright]\blacktriangleright & \K[\STIXlgwhtsquare]\lgwhtsquare & \K[\STIXsquareulquad]\squareulquad \\ \K[\STIXblkhorzoval]\blkhorzoval & \K[\STIXllblacktriangle]\llblacktriangle & \K[\STIXsquareurblack]\squareurblack \\ \K[\STIXblkvertoval]\blkvertoval & \K[\STIXlltriangle]\lltriangle & \K[\STIXsquareurquad]\squareurquad \\ \K[\STIXbotsemicircle]\botsemicircle & \K[\STIXlrblacktriangle]\lrblacktriangle & \K[\STIXsquarevfill]\squarevfill \\ \K[\STIXboxonbox]\boxonbox & \K[\STIXlrtriangle]\lrtriangle & \K[\STIXsquoval]\squoval \\ \K[\STIXbullseye]\bullseye & \K[\STIXmdblkcircle]\mdblkcircle & \K[\STIXtopsemicircle]\topsemicircle \\ \K[\STIXcirc]\circ & \K[\STIXmdblkdiamond]\mdblkdiamond & \K[\STIXtrapezium]\trapezium \\ \K[\STIXcirclebottomhalfblack]\circlebottomhalfblack & \K[\STIXmdblklozenge]\mdblklozenge & \K[\STIXtrianglecdot]\trianglecdot \\ \K[\STIXcircledbullet]\circledbullet & \K[\STIXmdblksquare]\mdblksquare & \K[\STIXtriangledown]\triangledown \\ \K[\STIXcircledownarrow]\circledownarrow & \K[\STIXmdlgblkcircle]\mdlgblkcircle & \K[\STIXtriangleleftblack]\triangleleftblack \\ \K[\STIXcircledrightdot]\circledrightdot & \K[\STIXmdlgblkdiamond]\mdlgblkdiamond & \K[\STIXtriangleodot]\triangleodot \\ \K[\STIXcircledstar]\circledstar & \K[\STIXmdlgblksquare]\mdlgblksquare & \K[\STIXtrianglerightblack]\trianglerightblack \\ \K[\STIXcircledtwodots]\circledtwodots & \K[\STIXmdlgwhtdiamond]\mdlgwhtdiamond & \K[\STIXtriangles]\triangles \\ \K[\STIXcircledwhitebullet]\circledwhitebullet & \K[\STIXmdlgwhtlozenge]\mdlgwhtlozenge & \K[\STIXtriangleubar]\triangleubar \\ \K[\STIXcirclelefthalfblack]\circlelefthalfblack & \K[\STIXmdlgwhtsquare]\mdlgwhtsquare & \K[\STIXulblacktriangle]\ulblacktriangle \\ \K[\STIXcirclellquad]\circlellquad & \K[\STIXmdsmblkcircle]\mdsmblkcircle & \K[\STIXultriangle]\ultriangle \\ \K[\STIXcirclelrquad]\circlelrquad & \K[\STIXmdsmblksquare]\mdsmblksquare & \K[\STIXuparrowoncircle]\uparrowoncircle \\ \K[\STIXcirclerighthalfblack]\circlerighthalfblack & \K[\STIXmdsmwhtcircle]\mdsmwhtcircle & \K[\STIXurblacktriangle]\urblacktriangle \\ \K[\STIXcircletophalfblack]\circletophalfblack & \K[\STIXmdsmwhtsquare]\mdsmwhtsquare & \K[\STIXurtriangle]\urtriangle \\ \K[\STIXcircleulquad]\circleulquad & \K[\STIXmdwhtcircle]\mdwhtcircle & \K[\STIXvarhexagon]\varhexagon \\ \K[\STIXcircleurquad]\circleurquad & \K[\STIXmdwhtdiamond]\mdwhtdiamond & \K[\STIXvarhexagonblack]\varhexagonblack \\ \K[\STIXcircleurquadblack]\circleurquadblack & \K[\STIXmdwhtlozenge]\mdwhtlozenge & \K[\STIXvarhexagonlrbonds]\varhexagonlrbonds \\ \K[\STIXcirclevertfill]\circlevertfill & \K[\STIXmdwhtsquare]\mdwhtsquare & \K[\STIXvarlrtriangle]\varlrtriangle \\ \K[\STIXcirE]\cirE & \K[\STIXmedblackstar]\medblackstar & \K[\STIXvarstar]\varstar \\ \K[\STIXcirscir]\cirscir & \K[\STIXmedwhitestar]\medwhitestar & \K[\STIXvrectangle]\vrectangle \\ \K[\STIXcwopencirclearrow]\cwopencirclearrow & \K[\STIXparallelogram]\parallelogram & \K[\STIXvrectangleblack]\vrectangleblack \\ \K[\STIXdiamondbotblack]\diamondbotblack & \K[\STIXparallelogramblack]\parallelogramblack & \K[\STIXvysmblksquare]\vysmblksquare \\ \K[\STIXdiamondcdot]\diamondcdot & \K[\STIXpentagon]\pentagon & \K[\STIXvysmwhtsquare]\vysmwhtsquare \\ \K[\STIXdiamondleftblack]\diamondleftblack & \K[\STIXpentagonblack]\pentagonblack & \K[\STIXwhiteinwhitetriangle]\whiteinwhitetriangle \\ \K[\STIXdiamondrightblack]\diamondrightblack & \K[\STIXrightpentagon]\rightpentagon & \K[\STIXwhitepointerleft]\whitepointerleft \\ \K[\STIXdiamondtopblack]\diamondtopblack & \K[\STIXrightpentagonblack]\rightpentagonblack & \K[\STIXwhitepointerright]\whitepointerright \\ \K[\STIXdottedcircle]\dottedcircle & \K[\STIXsmallblacktriangleleft]\smallblacktriangleleft & \K[\STIXwhthorzoval]\whthorzoval \\ \K[\STIXdottedsquare]\dottedsquare & \K[\STIXsmallblacktriangleright]\smallblacktriangleright & \K[\STIXwhtvertoval]\whtvertoval \\ \end{longtable} \begin{tablenote} \STIX\ defines \cmdI[\string\STIXdiamond]{\diamond} as a synonym for \cmdI[\string\STIXsmwhtdiamond]{\smwhtdiamond}, \cmdI[\string\STIXblacksquare]{\blacksquare} as a synonym for \cmdI[\string\STIXmdlgblksquare]{\mdlgblksquare}, \cmdI[\string\STIXsquare]{\square} and \cmdI[\string\STIXBox]{\Box} as synonyms for \cmdI[\string\STIXmdlgwhtsquare]{\mdlgwhtsquare}, \cmdI[\string\STIXtriangle]{\triangle} and \cmdI[\string\STIXvarbigtriangleup]{\varbigtriangleup} as synonyms for \cmdI[\string\STIXbigtriangleup]{\bigtriangleup}, \cmdI[\string\STIXrhd]{\rhd} as a synonym for \cmdI[\string\STIXvartriangleright]{\vartriangleright}, \cmdI[\string\STIXvarbigtriangledown]{\varbigtriangledown} as a synonym for \cmdI[\string\STIXbigtriangledown]{\bigtriangledown}, \cmdI[\string\STIXlhd]{\lhd} as a synonym for \cmdI[\string\STIXvartriangleleft]{\vartriangleleft}, \cmdI[\string\STIXDiamond]{\Diamond} and \cmdI[\string\STIXlozenge]{\lozenge} as synonyms for \cmdI[\string\STIXmdlgwhtlozenge]{\mglgwhtlozenge}, \cmdI[\string\STIXbigcirc]{\bigcirc} as a synonym for \cmdI[\string\STIXmdlgwhtcircle]{\mglgwhtcircle}, \cmdI[\string\STIXcirc]{\circ} as a synonym for \cmdI[\string\STIXsmwhtcircle]{\smwhtcircle}. and \cmdI[\string\STIXmdlgblklozenge]{\mdlgblklozenge} as a synonym for \cmdI[\string\STIXblacklozenge]{\blacklozenge}. \end{tablenote} \end{longsymtable} \begin{longsymtable}[IFS]{\IFS\ Geometric Shapes} \ltindex{circles} \ltindex{rhombuses} \ltindex{geometric shapes} \ltindex{squares} \ltindex{triangles} \label{ifs-geometrical} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\BigCircle & \K\FilledBigTriangleRight & \K\SmallCircle \\ \K\BigCross & \K\FilledBigTriangleUp & \K\SmallCross \\ \K\BigDiamondshape & \K\FilledCircle & \K\SmallDiamondshape \\ \K\BigHBar & \K\FilledDiamondShadowA & \K\SmallHBar \\ \K\BigLowerDiamond & \K\FilledDiamondShadowC & \K\SmallLowerDiamond \\ \K\BigRightDiamond & \K\FilledDiamondshape & \K\SmallRightDiamond \\ \K\BigSquare & \K\FilledSmallCircle & \K\SmallSquare \\ \K\BigTriangleDown & \K\FilledSmallDiamondshape & \K\SmallTriangleDown \\ \K\BigTriangleLeft & \K\FilledSmallSquare & \K\SmallTriangleLeft \\ \K\BigTriangleRight & \K\FilledSmallTriangleDown & \K\SmallTriangleRight \\ \K\BigTriangleUp & \K\FilledSmallTriangleLeft & \K\SmallTriangleUp \\ \K\BigVBar & \K\FilledSmallTriangleRight & \K\SmallVBar \\ \K[\ifsCircle]\Circle & \K\FilledSmallTriangleUp & \K\SpinDown \\ \K[\ifsCross]\Cross & \K\FilledSquare & \K\SpinUp \\ \K\DiamondShadowA & \K\FilledSquareShadowA & \K[\ifsSquare]\Square \\ \K\DiamondShadowB & \K\FilledSquareShadowC & \K\SquareShadowA \\ \K\DiamondShadowC & \K\FilledTriangleDown & \K\SquareShadowB \\ \K\Diamondshape & \K\FilledTriangleLeft & \K\SquareShadowC \\ \K\FilledBigCircle & \K\FilledTriangleRight & \K[\ifsTriangleDown]\TriangleDown \\ \K\FilledBigDiamondshape & \K\FilledTriangleUp & \K\TriangleLeft \\ \K\FilledBigSquare & \K\HBar & \K\TriangleRight \\ \K\FilledBigTriangleDown & \K\LowerDiamond & \K[\ifsTriangleUp]\TriangleUp \\ \K\FilledBigTriangleLeft & \K\RightDiamond & \K\VBar \\ \end{longtable} \bigskip \begin{tablenote} \begin{morespacing}{1pt} The \IFS\ documentation points out that one can use \cmd{\rlap} to combine some of the above into useful, new symbols. For example, \cmdI{\BigCircle} and \cmdI{\FilledSmallCircle} combine to give ``\,\rlap\FilledSmallCircle\BigCircle\,''. Likewise, \cmdI[\ifsSquare]{\Square} and \cmdI[\ifsCross]{\Cross} combine to give ``\rlap\ifsCross\ifsSquare''. See \ref{combining-symbols} for more information about constructing new symbols out of existing symbols. \end{morespacing} \end{tablenote} \end{longsymtable} \begin{symtable}[DING]{\DING\ Geometric Shapes} \index{circles} \index{rhombuses} \index{ellipses (ovals)} \index{geometric shapes} \index{ovals} \index{rectangles} \index{squares} \index{triangles} \label{ding-geometrical} \begin{tabular}{*3{ll}} \K\CircleShadow & \K\Rectangle & \K\SquareShadowTopLeft \\ \K\CircleSolid & \K\RectangleBold & \K\SquareShadowTopRight \\ \K\DiamondSolid & \K\RectangleThin & \K\SquareSolid \\ \K\Ellipse & \K[\dingSquare]\Square & \K\TriangleDown \\ \K\EllipseShadow & \K\SquareCastShadowBottomRight & \K\TriangleUp \\ \K\EllipseSolid & \K\SquareCastShadowTopLeft \\ \K\HalfCircleLeft & \K\SquareCastShadowTopRight \\ \K\HalfCircleRight & \K\SquareShadowBottomRight \\ \end{tabular} \end{symtable} \begin{symtable}[PI]{\PI\ Geometric Shapes} \index{circles} \index{rhombuses} \index{geometric shapes} \index{rectangles} \index{squares} \index{triangles} \label{pi-geometrical} \begin{tabular}{*5{ll}} \Tding{108} & \Tding{111} & \Tding{114} & \Tding{117} & \Tding{121} \\ \Tding{109} & \Tding{112} & \Tding{115} & \Tding{119} & \Tding{122} \\ \Tding{110} & \Tding{113} & \Tding{116} & \Tding{120} \\ \end{tabular} \end{symtable} \begin{symtable}[UNI]{\UNI\ Geometric Shapes} \index{circles} \index{squares} \index{triangles} \index{geometric shapes} \label{uni-geometrical} \begin{tabular}{*3{ll}} \K\baucircle & \K\bausquare & \K\bautriangle \\ \end{tabular} \end{symtable} \begin{symtable}[ADFSYM]{\ADFSYM\ Geometric Shapes} \index{circles} \index{rhombuses} \index{geometric shapes} \index{squares} \index{triangles} \index{ellipses (ovals)} \label{adf-geometrical} \begin{tabular}{*4{ll}} \Tbul{27} & \Tbul{32} & \Tbul{43} & \Tbul{48} \\ \Tbul{28} & \Tbul{33} & \Tbul{44} & \Tbul{49} \\ \Tbul{29} & \Tbul{34} & \Tbul{45} & \Tbul{50} \\ \Tbul{30} & \Tbul{41} & \Tbul{46} & \Tbul{51} \\ \Tbul{31} & \Tbul{42} & \Tbul{47} & \Tbul{52} \\ \end{tabular} \end{symtable} \begin{symtable}[FNTAWE]{\FNTAWE\ Geometric Shapes} \index{geometric shapes} \index{circles} \index{squares} \label{fontawesome-geometrical} \begin{tabular}{*4{ll}} \K\faCircle & \K\faCircleONotch & \K\faDotCircleO & \K\faSquareO \\ \K\faCircleO & \K\faCircleThin & \K\faSquare & \\ \end{tabular} \end{symtable} \begin{longsymtable}[OPLOT]{\OPLOT\ Geometric Shapes} \ltindex{circles} \ltindex{hexagons} \ltindex{pentagons} \ltindex{rhombuses} \ltindex{polygons} \ltindex{stars} \ltindex{triangles} \ltindex{geometric shapes} \label{oplot-geometrical} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\circlet & \K\rhombusfillha & \K\trianglepalineh \\ \K\circletcross & \K\rhombusfillhb & \K\trianglepalinev \\ \K\circletdot & \K\rhombusfillhl & \K\trianglepalinevh \\ \K\circletfill & \K\rhombusfillhr & \K\trianglepb \\ \K\circletfillha & \K\rhombuslineh & \K\trianglepbcross \\ \K\circletfillhb & \K\rhombuslinev & \K\trianglepbdot \\ \K\circletfillhl & \K\rhombuslinevh & \K\trianglepbfill \\ \K\circletfillhr & \K\squad & \K\trianglepbfillha \\ \K\circletlineh & \K\squadcross & \K\trianglepbfillhb \\ \K\circletlinev & \K\squaddot & \K\trianglepbfillhl \\ \K\circletlinevh & \K\squadfill & \K\trianglepbfillhr \\ \K\hexago & \K\squadfillha & \K\trianglepblineh \\ \K\hexagocross & \K\squadfillhb & \K\trianglepblinev \\ \K\hexagodot & \K\squadfillhl & \K\trianglepblinevh \\ \K\hexagofill & \K\squadfillhr & \K\trianglepl \\ \K\hexagofillha & \K\squadlineh & \K\triangleplcross \\ \K\hexagofillhb & \K\squadlinev & \K\trianglepldot \\ \K\hexagofillhl & \K\squadlinevh & \K\triangleplfill \\ \K\hexagofillhr & \K\starlet & \K\triangleplfillha \\ \K\hexagolineh & \K\starletcross & \K\triangleplfillhb \\ \K\hexagolinev & \K\starletdot & \K\triangleplfillhl \\ \K\hexagolinevh & \K\starletfill & \K\triangleplfillhr \\ \K\pentago & \K\starletfillha & \K\trianglepllineh \\ \K\pentagocross & \K\starletfillhb & \K\trianglepllinev \\ \K\pentagodot & \K\starletfillhl & \K\trianglepllinevh \\ \K\pentagofill & \K\starletfillhr & \K\trianglepr \\ \K\pentagofillha & \K\starletlineh & \K\triangleprcross \\ \K\pentagofillhb & \K\starletlinev & \K\triangleprdot \\ \K\pentagofillhl & \K\starletlinevh & \K\triangleprfill \\ \K\pentagofillhr & \K\trianglepa & \K\triangleprfillha \\ \K\pentagolineh & \K\trianglepacross & \K\triangleprfillhb \\ \K\pentagolinev & \K\trianglepadot & \K\triangleprfillhl \\ \K\pentagolinevh & \K\trianglepafill & \K\triangleprfillhr \\ \K\rhombus & \K\trianglepafillha & \K\triangleprlineh \\ \K\rhombuscross & \K\trianglepafillhb & \K\triangleprlinev \\ \K\rhombusdot & \K\trianglepafillhl & \K\triangleprlinevh \\ \K\rhombusfill & \K\trianglepafillhr & \\ \end{longtable} \begin{tablenote} ``\texttt{fillha}'', ``\texttt{fillhb}'', ``\texttt{fillhl}'', and ``\texttt{fillhr}'', imply, respectively, ``half-filled above'', ``half-filled below'', ``half-filled left'', and ``half-filled right''. In the \verb|\triangle|\dots\ symbols, ``\texttt{pa}'', ``\texttt{pb}'', ``\texttt{pr}'', and ``\texttt{pl}'' refer respectively to ``peak above'', ``peak below'', ``peak left'', and ``peak right''. All \OPLOT\ symbols are implemented with \TikZ\ graphics, not with a font. \end{tablenote} \end{longsymtable} \begin{symtable}{\latexE\ Playing-Card Suits} \index{playing cards} \index{card suits} \index{rhombuses} \index{hearts} \index{clubs} \index{spades} \idxboth{game-related}{symbols} \label{latex-cards} \begin{tabular}{*4{ll}} \X\clubsuit & \X\diamondsuit & \X\heartsuit & \X\spadesuit \\ \end{tabular} \end{symtable} \begin{symtable}[TX]{\TXPX\ Playing-Card Suits} \index{playing cards} \index{card suits} \index{rhombuses} \index{hearts} \index{clubs} \index{spades} \idxboth{game-related}{symbols} \label{txpx-cards} \begin{tabular}{*4{ll}} \X\varclubsuit & \X\vardiamondsuit & \X\varheartsuit & \X\varspadesuit \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Playing-Card Suits} \index{playing cards} \index{card suits} \index{rhombuses} \index{hearts} \index{clubs} \index{spades} \idxboth{game-related}{symbols} \label{mns-cards} \begin{tabular}{*4{ll}} \K[\MNSclubsuit]\clubsuit & \K[\MNSdiamondsuit]\diamondsuit & \K[\MNSheartsuit]\heartsuit & \K[\MNSspadesuit]\spadesuit \\ \end{tabular} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Playing-Card Suits} \index{playing cards} \index{card suits} \index{rhombuses} \index{hearts} \index{clubs} \index{spades} \idxboth{game-related}{symbols} \label{fdsym-cards} \begin{tabular}{*4{ll}} \K[\FDSYMclubsuit]\clubsuit & \K[\FDSYMheartsuit]\heartsuit & \K[\FDSYMvardiamondsuit]\vardiamondsuit & \\ \K[\FDSYMdiamondsuit]\diamondsuit & \K[\FDSYMspadesuit]\spadesuit & \K[\FDSYMvarheartsuit]\varheartsuit & \\ \end{tabular} \end{symtable} \begin{symtable}[BSK]{\BSK\ Playing-Card Suits} \index{playing cards} \index{card suits} \index{rhombuses} \index{hearts} \index{clubs} \index{spades} \idxboth{game-related}{symbols} \label{bsk-cards} \begin{tabular}{*4{ll}} \K[\BSKclubsuit]\clubsuit & \K[\BSKdiamondsuit]\diamondsuit & \K[\BSKheartsuit]\heartsuit & \K[\BSKspadesuit]\spadesuit \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Playing-Card Suits} \index{playing cards} \index{card suits} \index{rhombuses} \index{hearts} \index{clubs} \index{spades} \idxboth{game-related}{symbols} \label{stix-cards} \begin{tabular}{*4{ll}} \K[\STIXclubsuit]\clubsuit & \K[\STIXheartsuit]\heartsuit & \K[\STIXvarclubsuit]\varclubsuit & \K[\STIXvarheartsuit]\varheartsuit \\ \K[\STIXdiamondsuit]\diamondsuit & \K[\STIXspadesuit]\spadesuit & \K[\STIXvardiamondsuit]\vardiamondsuit & \K[\STIXvarspadesuit]\varspadesuit \\ \end{tabular} \end{symtable} \begin{symtable}[AREV]{\AREV\ Playing-Card Suits} \index{playing cards} \index{card suits} \index{rhombuses} \index{hearts} \index{clubs} \index{spades} \idxboth{game-related}{symbols} \label{arev-cards} \begin{tabular}{*4{ll}} \K[\AREVvarclub]\varclub & \K[\AREVvardiamond]\vardiamond & \K[\AREVvarheart]\varheart & \K[\AREVvarspade]\varspade \\ \end{tabular} \end{symtable} \begin{symtable}[ADFORN]{\ADFORN\ Flourishes} \index{flourishes} \index{ornaments} \label{adforn-flourishes} \begin{tabular}{*2{ll}} \K\adfclosedflourishleft & \K\adfclosedflourishright \\ \K\adfdoubleflourishleft & \K\adfdoubleflourishright \\ \K\adfdoublesharpflourishleft & \K\adfdoublesharpflourishright \\ \K\adfflourishleft & \K\adfflourishright \\ \K\adfflourishleftdouble & \K\adfflourishrightdouble \\ \K\adfopenflourishleft & \K\adfopenflourishright \\ \K\adfsharpflourishleft & \K\adfsharpflourishright \\ \K\adfsickleflourishleft & \K\adfsickleflourishright \\ \K\adfsingleflourishleft & \K\adfsingleflourishright \\ \K\adftripleflourishleft & \K\adftripleflourishright \\ \K\adfwavesleft & \K\adfwavesright \\ \end{tabular} \end{symtable} \begin{symtable}[OPLOT]{Miscellaneous \OPLOT\ Symbols} \index{crosses} \index{plusses} \idxboth{miscellaneous}{symbols} \begin{tabular}{*4{ll@{\quad}}ll} \K\lineh & \K\linev & \K\linevh & \K\scross & \K\scrossvh \\ \end{tabular} \bigskip \begin{tablenote} All \OPLOT\ symbols are implemented with \TikZ\ graphics, not with a font. \end{tablenote} \end{symtable} \begin{symtable}[ARK]{Miscellaneous \ARK\ Dingbats} \idxboth{miscellaneous}{symbols} \index{check marks} \index{carriage return} \index{squares} \label{ark-misc} \begin{tabular}{*3{ll}} \K\anchor & \K\eye & \K\Sborder \\ \K\carriagereturn & \K\filledsquarewithdots & \K\squarewithdots \\ \K[\ARKcheckmark]\checkmark & \K\satellitedish & \K\Zborder \\ \end{tabular} \end{symtable} \begin{symtable}[DING]{Miscellaneous \DING\ Dingbats} \idxboth{miscellaneous}{symbols} \index{envelopes} \index{rhombuses} \index{sun} \label{bbding-misc} \begin{tabular}{*4{ll}} \K\Envelope & \K\Peace & \K\PhoneHandset & \K\SunshineOpenCircled \\ \K\OrnamentDiamondSolid & \K\Phone & \K\Plane & \K\Tape \\ \end{tabular} \end{symtable} \begin{symtable}[PI]{Miscellaneous \PI\ Dingbats} \idxboth{miscellaneous}{symbols} \index{card suits} \index{rhombuses} \index{hearts} \index{clubs} \index{spades} \index{fleurons} \index{leaves} \index{ornaments} \label{pi-misc} \begin{tabular}{*5{ll}} \Tding{37} & \Tding{40} & \Tding{164} & \Tding{167} & \Tding{171} \\ \Tding{38} & \Tding{41} & \Tding{165} & \Tding{168} & \Tding{169} \\ \Tding{39} & \Tding{118} & \Tding{166} & \Tding{170} \\ \end{tabular} \end{symtable} \begin{symtable}[ADFORN]{Miscellaneous \ADFORN\ Dingbats} \idxboth{miscellaneous}{symbols} \index{rhombuses} \index{squares} \index{circles} \index{flourishes} \label{adforn-misc} \begin{tabular}{*5{ll}} \K[\ADFadfbullet]\adfbullet & \K\adfdiamond & \K\adfgee & \K\adfS & \K\adfsquare \\ \end{tabular} \end{symtable} \idxbothend{dingbat}{symbols} \section{Ancient languages} \index{ancient-language symbols|(} \index{symbols>ancient language|(} \tablesubsections This section presents letters and ideograms from various ancient scripts. Some of these symbols may also be useful in other typesetting contexts because of their pictorial nature. \begin{symtable}[PHAI]{\PHAI\ Symbols from the Phaistos Disk} \index{Phaistos disk} \index{symbols>Phaistos disk} \index{faces} \index{man} \index{woman} \index{animals} \index{arrows} \label{phaistos} \begin{tabular}{*2{ll@{\qqquad}}ll} \K\PHarrow & \K\PHeagle & \K\PHplumedHead \\ \K\PHbee & \K\PHflute & \K\PHram \\ \K\PHbeehive & \K\PHgaunlet & \K\PHrosette \\ \K\PHboomerang & \K\PHgrater & \K\PHsaw \\ \K\PHbow & \K\PHhelmet & \K\PHshield \\ \K\PHbullLeg & \K\PHhide & \K\PHship \\ \K\PHcaptive & \K\PHhorn & \K\PHsling \\ \K\PHcarpentryPlane & \K\PHlid & \K\PHsmallAxe \\ \K\PHcat & \K\PHlily & \K\PHstrainer \\ \K\PHchild & \K\PHmanacles & \K\PHtattooedHead \\ \K\PHclub & \K\PHmattock & \K\PHtiara \\ \K\PHcolumn & \K\PHoxBack & \K\PHtunny \\ \K\PHcomb & \K\PHpapyrus & \K\PHvine \\ \K\PHdolium & \K\PHpedestrian & \K\PHwavyBand \\ \K\PHdove & \K\PHplaneTree & \K\PHwoman \\ \end{tabular} \end{symtable} \begin{symtable}[PROTO]{\PROTO\ Proto-Semitic Characters} \idxboth{proto-Semitic}{symbols} \index{alphabets>proto-Semitic} \index{man} \index{stick figures} \label{protosem} \begin{tabular}{*4{ll@{\qqquad}}ll} \K[\textproto\Aaleph]\Aaleph & \K[\textproto\AAhe]\AAhe & \K[\textproto\Akaph]\Akaph & \K[\textproto\Asamekh]\Asamekh & \K[\textproto\AAresh]\AAresh \\ \K[\textproto\AAaleph]\AAaleph & \K[\textproto\Azayin]\Azayin & \K[\textproto\AAkaph]\AAkaph & \K[\textproto\Ape]\Ape & \K[\textproto\Ashin]\Ashin \\ \K[\textproto\Abeth]\Abeth & \K[\textproto\Avav]\Avav & \K[\textproto\Alamed]\Alamed & \K[\textproto\AApe]\AApe & \K[\textproto\Ahelmet]\Ahelmet \\ \K[\textproto\AAbeth]\AAbeth & \K[\textproto\Aheth]\Aheth & \K[\textproto\AAlamed]\AAlamed & \K[\textproto\Asade]\Asade & \K[\textproto\AAhelmet]\AAhelmet \\ \K[\textproto\Agimel]\Agimel & \K[\textproto\AAheth]\AAheth & \K[\textproto\Am]\Amem & \K[\textproto\AAsade]\AAsade & \K[\textproto\Atav]\Atav \\ \K[\textproto\Adaleth]\Adaleth & \K[\textproto\Ateth]\Ateth & \K[\textproto\Anun]\Anun & \K[\textproto\Aqoph]\Aqoph \\ \K[\textproto\AAdaleth]\AAdaleth & \K[\textproto\Ayod]\Ayod & \K[\textproto\Aayin]\Aayin & \K[\textproto\AAqoph]\AAqoph \\ \K[\textproto\Ahe]\Ahe & \K[\textproto\AAyod]\AAyod & \K[\textproto\AAayin]\AAayin & \K[\textproto\Aresh]\Aresh \\ \end{tabular} \bigskip \begin{tablenote} The \PROTO\ package defines abbreviated control sequences for each of the above. In addition, single-letter shortcuts can be used within the argument to the \cmd{\textproto} command (e.g.,~``\verb|\textproto{Pakyn}|'' produces ``\textproto{Pakyn}''). \seedocs{\PROTO}. \end{tablenote} \end{symtable} \begin{symtable}[HIER]{\HIER\ Hieroglyphics} \index{hieroglyphics} \index{alphabets>hieroglyphic} \index{animals} \index{birds} \label{hieroglf} \begin{tabular}{*3{ll@{\qqquad}}ll} \K[\textpmhg\HA]\HA & \K[\textpmhg\HI]\HI & \K[\textpmhg\Hn]\Hn & \K[\textpmhg\HT]\HT \\ \K[\textpmhg\Ha]\Ha & \K[\textpmhg\Hi]\Hi & \K[\textpmhg\HO]\HO & \K[\textpmhg\Ht]\Ht \\ \K[\textpmhg\HB]\HB & \K[\textpmhg\Hibl]\Hibl & \K[\textpmhg\Ho]\Ho & \K[\textpmhg\Htongue]\Htongue \\ \K[\textpmhg\Hb]\Hb & \K[\textpmhg\Hibp]\Hibp & \K[\textpmhg\Hp]\Hp & \K[\textpmhg\HU]\HU \\ \K[\textpmhg\Hc]\Hc & \K[\textpmhg\Hibs]\Hibs & \K[\textpmhg\HP]\HP & \K[\textpmhg\Hu]\Hu \\ \K[\textpmhg\HC]\HC & \K[\textpmhg\Hibw]\Hibw & \K[\textpmhg\Hplural]\Hplural & \K[\textpmhg\HV]\HV \\ \K[\textpmhg\HD]\HD & \K[\textpmhg\HJ]\HJ & \K[\textpmhg\Hplus]\Hplus & \K[\textpmhg\Hv]\Hv \\ \K[\textpmhg\Hd]\Hd & \K[\textpmhg\Hj]\Hj & \K[\textpmhg\HQ]\HQ & \K[\textpmhg\Hvbar]\Hvbar \\ \K[\textpmhg\Hdual]\Hdual & \K[\textpmhg\Hk]\Hk & \K[\textpmhg\Hq]\Hq & \K[\textpmhg\Hw]\Hw \\ \K[\textpmhg\He]\He & \K[\textpmhg\HK]\HK & \K[\textpmhg\Hquery]\Hquery & \K[\textpmhg\HW]\HW \\ \K[\textpmhg\HE]\HE & \K[\textpmhg\HL]\HL & \K[\textpmhg\HR]\HR & \K[\textpmhg\HX]\HX \\ \K[\textpmhg\Hf]\Hf & \K[\textpmhg\Hl]\Hl & \K[\textpmhg\Hr]\Hr & \K[\textpmhg\Hx]\Hx \\ \K[\textpmhg\HIERHF]\HF & \K[\textpmhg\Hm]\Hm & \K[\textpmhg\Hs]\Hs & \K[\textpmhg\HY]\HY \\ \K[\textpmhg\HG]\HG & \K[\textpmhg\HM]\HM & \K[\textpmhg\HS]\HS & \K[\textpmhg\Hy]\Hy \\ \K[\textpmhg\Hg]\Hg & \K[\textpmhg\Hman]\Hman & \K[\textpmhg\Hscribe]\Hscribe & \K[\textpmhg\Hz]\Hz \\ \K[\textpmhg\Hh]\Hh & \K[\textpmhg\Hms]\Hms & \K[\textpmhg\Hslash]\Hslash & \K[\textpmhg\HZ]\HZ \\ \K[\textpmhg\HH]\HH & \K[\textpmhg\HN]\HN & \K[\textpmhg\Hsv]\Hsv & \\ ~\\[2ex] \K[\textpmhg\Hone]\Hone & \K[\textpmhg\Hhundred]\Hhundred & \K[\textpmhg\HXthousand]\HXthousand & \K[\textpmhg\Hmillion]\Hmillion \\ \K[\textpmhg\Hten]\Hten & \K[\textpmhg\Hthousand]\Hthousand & \K[\textpmhg\HCthousand]\HCthousand \\ \end{tabular} \bigskip \begin{tablenote} The \HIER\ package defines alternate control sequences and single-letter shortcuts for each of the above which can be used within the argument to the \cmd{\textpmhg} command (e.g.,~``\verb|\textpmhg{Pakin}|'' produces ``\textpmhg{Pakin}''). \seedocs{\HIER}. \end{tablenote} \end{symtable} \begin{longsymtable}[LINA]{\LINA\ Linear~A Script} \index{Linear A} \index{alphabets>Linear A} \label{linearA} \begin{longtable}{*3{ll@{\quad}}ll} \multicolumn{8}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[3ex] \multicolumn{8}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\LinearAI & \K\LinearAXCIX & \K\LinearACXCVII & \K\LinearACCXCV \\ \K\LinearAII & \K\LinearAC & \K\LinearACXCVIII & \K\LinearACCXCVI \\ \K\LinearAIII & \K\LinearACI & \K\LinearACXCIX & \K\LinearACCXCVII \\ \K\LinearAIV & \K\LinearACII & \K\LinearACC & \K\LinearACCXCVIII \\ \K\LinearAV & \K\LinearACIII & \K\LinearACCI & \K\LinearACCXCIX \\ \K\LinearAVI & \K\LinearACIV & \K\LinearACCII & \K\LinearACCC \\ \K\LinearAVII & \K\LinearACV & \K\LinearACCIII & \K\LinearACCCI \\ \K\LinearAVIII & \K\LinearACVI & \K\LinearACCIV & \K\LinearACCCII \\ \K\LinearAIX & \K\LinearACVII & \K\LinearACCV & \K\LinearACCCIII \\ \K\LinearAX & \K\LinearACVIII & \K\LinearACCVI & \K\LinearACCCIV \\ \K\LinearAXI & \K\LinearACIX & \K\LinearACCVII & \K\LinearACCCV \\ \K\LinearAXII & \K\LinearACX & \K\LinearACCVIII & \K\LinearACCCVI \\ \K\LinearAXIII & \K\LinearACXI & \K\LinearACCIX & \K\LinearACCCVII \\ \K\LinearAXIV & \K\LinearACXII & \K\LinearACCX & \K\LinearACCCVIII \\ \K\LinearAXV & \K\LinearACXIII & \K\LinearACCXI & \K\LinearACCCIX \\ \K\LinearAXVI & \K\LinearACXIV & \K\LinearACCXII & \K\LinearACCCX \\ \K\LinearAXVII & \K\LinearACXV & \K\LinearACCXIII & \K\LinearACCCXI \\ \K\LinearAXVIII & \K\LinearACXVI & \K\LinearACCXIV & \K\LinearACCCXII \\ \K\LinearAXIX & \K\LinearACXVII & \K\LinearACCXV & \K\LinearACCCXIII \\ \K\LinearAXX & \K\LinearACXVIII & \K\LinearACCXVI & \K\LinearACCCXIV \\ \K\LinearAXXI & \K\LinearACXIX & \K\LinearACCXVII & \K\LinearACCCXV \\ \K\LinearAXXII & \K\LinearACXX & \K\LinearACCXVIII & \K\LinearACCCXVI \\ \K\LinearAXXIII & \K\LinearACXXI & \K\LinearACCXIX & \K\LinearACCCXVII \\ \K\LinearAXXIV & \K\LinearACXXII & \K\LinearACCXX & \K\LinearACCCXVIII \\ \K\LinearAXXV & \K\LinearACXXIII & \K\LinearACCXXI & \K\LinearACCCXIX \\ \K\LinearAXXVI & \K\LinearACXXIV & \K\LinearACCXXII & \K\LinearACCCXX \\ \K\LinearAXXVII & \K\LinearACXXV & \K\LinearACCXXIII & \K\LinearACCCXXI \\ \K\LinearAXXVIII & \K\LinearACXXVI & \K\LinearACCXXIV & \K\LinearACCCXXII \\ \K\LinearAXXIX & \K\LinearACXXVII & \K\LinearACCXXV & \K\LinearACCCXXIII \\ \K\LinearAXXX & \K\LinearACXXVIII & \K\LinearACCXXVI & \K\LinearACCCXXIV \\ \K\LinearAXXXI & \K\LinearACXXIX & \K\LinearACCXXVII & \K\LinearACCCXXV \\ \K\LinearAXXXII & \K\LinearACXXX & \K\LinearACCXXVIII & \K\LinearACCCXXVI \\ \K\LinearAXXXIII & \K\LinearACXXXI & \K\LinearACCXXIX & \K\LinearACCCXXVII \\ \K\LinearAXXXIV & \K\LinearACXXXII & \K\LinearACCXXX & \K\LinearACCCXXVIII \\ \K\LinearAXXXV & \K\LinearACXXXIII & \K\LinearACCXXXI & \K\LinearACCCXXIX \\ \K\LinearAXXXVI & \K\LinearACXXXIV & \K\LinearACCXXXII & \K\LinearACCCXXX \\ \K\LinearAXXXVII & \K\LinearACXXXV & \K\LinearACCXXXIII & \K\LinearACCCXXXI \\ \K\LinearAXXXVIII & \K\LinearACXXXVI & \K\LinearACCXXXIV & \K\LinearACCCXXXII \\ \K\LinearAXXXIX & \K\LinearACXXXVII & \K\LinearACCXXXV & \K\LinearACCCXXXIII \\ \K\LinearAXL & \K\LinearACXXXVIII & \K\LinearACCXXXVI & \K\LinearACCCXXXIV \\ \K\LinearAXLI & \K\LinearACXXXIX & \K\LinearACCXXXVII & \K\LinearACCCXXXV \\ \K\LinearAXLII & \K\LinearACXL & \K\LinearACCXXXVIII & \K\LinearACCCXXXVI \\ \K\LinearAXLIII & \K\LinearACXLI & \K\LinearACCXXXIX & \K\LinearACCCXXXVII \\ \K\LinearAXLIV & \K\LinearACXLII & \K\LinearACCXL & \K\LinearACCCXXXVIII \\ \K\LinearAXLV & \K\LinearACXLIII & \K\LinearACCXLI & \K\LinearACCCXXXIX \\ \K\LinearAXLVI & \K\LinearACXLIV & \K\LinearACCXLII & \K\LinearACCCXL \\ \K\LinearAXLVII & \K\LinearACXLV & \K\LinearACCXLIII & \K\LinearACCCXLI \\ \K\LinearAXLVIII & \K\LinearACXLVI & \K\LinearACCXLIV & \K\LinearACCCXLII \\ \K\LinearAXLIX & \K\LinearACXLVII & \K\LinearACCXLV & \K\LinearACCCXLIII \\ \K\LinearAL & \K\LinearACXLVIII & \K\LinearACCXLVI & \K\LinearACCCXLIV \\ \K\LinearALI & \K\LinearACXLIX & \K\LinearACCXLVII & \K\LinearACCCXLV \\ \K\LinearALII & \K\LinearACL & \K\LinearACCXLVIII & \K\LinearACCCXLVI \\ \K\LinearALIII & \K\LinearACLI & \K\LinearACCXLIX & \K\LinearACCCXLVII \\ \K\LinearALIV & \K\LinearACLII & \K\LinearACCL & \K\LinearACCCXLVIII \\ \K\LinearALV & \K\LinearACLIII & \K\LinearACCLI & \K\LinearACCCXLIX \\ \K\LinearALVI & \K\LinearACLIV & \K\LinearACCLII & \K\LinearACCCL \\ \K\LinearALVII & \K\LinearACLV & \K\LinearACCLIII & \K\LinearACCCLI \\ \K\LinearALVIII & \K\LinearACLVI & \K\LinearACCLIV & \K\LinearACCCLII \\ \K\LinearALIX & \K\LinearACLVII & \K\LinearACCLV & \K\LinearACCCLIII \\ \K\LinearALX & \K\LinearACLVIII & \K\LinearACCLVI & \K\LinearACCCLIV \\ \K\LinearALXI & \K\LinearACLIX & \K\LinearACCLVII & \K\LinearACCCLV \\ \K\LinearALXII & \K\LinearACLX & \K\LinearACCLVIII & \K\LinearACCCLVI \\ \K\LinearALXIII & \K\LinearACLXI & \K\LinearACCLIX & \K\LinearACCCLVII \\ \K\LinearALXIV & \K\LinearACLXII & \K\LinearACCLX & \K\LinearACCCLVIII \\ \K\LinearALXV & \K\LinearACLXIII & \K\LinearACCLXI & \K\LinearACCCLIX \\ \K\LinearALXVI & \K\LinearACLXIV & \K\LinearACCLXII & \K\LinearACCCLX \\ \K\LinearALXVII & \K\LinearACLXV & \K\LinearACCLXIII & \K\LinearACCCLXI \\ \K\LinearALXVIII & \K\LinearACLXVI & \K\LinearACCLXIV & \K\LinearACCCLXII \\ \K\LinearALXIX & \K\LinearACLXVII & \K\LinearACCLXV & \K\LinearACCCLXIII \\ \K\LinearALXX & \K\LinearACLXVIII & \K\LinearACCLXVI & \K\LinearACCCLXIV \\ \K\LinearALXXI & \K\LinearACLXIX & \K\LinearACCLXVII & \K\LinearACCCLXV \\ \K\LinearALXXII & \K\LinearACLXX & \K\LinearACCLXVIII & \K\LinearACCCLXVI \\ \K\LinearALXXIII & \K\LinearACLXXI & \K\LinearACCLXIX & \K\LinearACCCLXVII \\ \K\LinearALXXIV & \K\LinearACLXXII & \K\LinearACCLXX & \K\LinearACCCLXVIII \\ \K\LinearALXXV & \K\LinearACLXXIII & \K\LinearACCLXXI & \K\LinearACCCLXIX \\ \K\LinearALXXVI & \K\LinearACLXXIV & \K\LinearACCLXXII & \K\LinearACCCLXX \\ \K\LinearALXXVII & \K\LinearACLXXV & \K\LinearACCLXXIII & \K\LinearACCCLXXI \\ \K\LinearALXXVIII & \K\LinearACLXXVI & \K\LinearACCLXXIV & \K\LinearACCCLXXII \\ \K\LinearALXXIX & \K\LinearACLXXVII & \K\LinearACCLXXV & \K\LinearACCCLXXIII \\ \K\LinearALXXX & \K\LinearACLXXVIII & \K\LinearACCLXXVI & \K\LinearACCCLXXIV \\ \K\LinearALXXXI & \K\LinearACLXXIX & \K\LinearACCLXXVII & \K\LinearACCCLXXV \\ \K\LinearALXXXII & \K\LinearACLXXX & \K\LinearACCLXXVIII & \K\LinearACCCLXXVI \\ \K\LinearALXXXIII & \K\LinearACLXXXI & \K\LinearACCLXXIX & \K\LinearACCCLXXVII \\ \K\LinearALXXXIV & \K\LinearACLXXXII & \K\LinearACCLXXX & \K\LinearACCCLXXVIII \\ \K\LinearALXXXV & \K\LinearACLXXXIII & \K\LinearACCLXXXI & \K\LinearACCCLXXIX \\ \K\LinearALXXXVI & \K\LinearACLXXXIV & \K\LinearACCLXXXII & \K\LinearACCCLXXX \\ \K\LinearALXXXVII & \K\LinearACLXXXV & \K\LinearACCLXXXIII & \K\LinearACCCLXXXI \\ \K\LinearALXXXVIII & \K\LinearACLXXXVI & \K\LinearACCLXXXIV & \K\LinearACCCLXXXII \\ \K\LinearALXXXIX & \K\LinearACLXXXVII & \K\LinearACCLXXXV & \K\LinearACCCLXXXIII \\ \K\LinearALXXXX & \K\LinearACLXXXVIII & \K\LinearACCLXXXVI & \K\LinearACCCLXXXIV \\ \K\LinearAXCI & \K\LinearACLXXXIX & \K\LinearACCLXXXVII & \K\LinearACCCLXXXV \\ \K\LinearAXCII & \K\LinearACLXXXX & \K\LinearACCLXXXVIII & \K\LinearACCCLXXXVI \\ \K\LinearAXCIII & \K\LinearACXCI & \K\LinearACCLXXXIX & \K\LinearACCCLXXXVII \\ \K\LinearAXCIV & \K\LinearACXCII & \K\LinearACCLXXXX & \K\LinearACCCLXXXVIII \\ \K\LinearAXCV & \K\LinearACXCIII & \K\LinearACCXCI & \K\LinearACCCLXXXIX \\ \K\LinearAXCVI & \K\LinearACXCIV & \K\LinearACCXCII & \\ \K\LinearAXCVII & \K\LinearACXCV & \K\LinearACCXCIII & \\ \K\LinearAXCVIII & \K\LinearACXCVI & \K\LinearACCXCIV & \\ \end{longtable} \end{longsymtable} \begin{symtable}[LINB]{\LINB\ Linear~B Basic and Optional Letters} \index{Linear B} \index{alphabets>Linear B} \label{linearB} \begin{tabular}{*5{ll@{\qquad}}ll} \K[\textlinb{\Ba}]\Ba & \K[\textlinb{\Bja}]\Bja & \K[\textlinb{\Bmu}]\Bmu & \K[\textlinb{\Bpte}]\Bpte & \K[\textlinb{\Broii}]\Broii & \K[\textlinb{\Bto}]\Bto \\ \K[\textlinb{\Baii}]\Baii & \K[\textlinb{\Bje}]\Bje & \K[\textlinb{\Bna}]\Bna & \K[\textlinb{\Bpu}]\Bpu & \K[\textlinb{\Bru}]\Bru & \K[\textlinb{\Btu}]\Btu \\ \K[\textlinb{\Baiii}]\Baiii & \K[\textlinb{\Bjo}]\Bjo & \K[\textlinb{\Bne}]\Bne & \K[\textlinb{\Bpuii}]\Bpuii & \K[\textlinb{\Bsa}]\Bsa & \K[\textlinb{\Btwo}]\Btwo \\ \K[\textlinb{\Bau}]\Bau & \K[\textlinb{\Bju}]\Bju & \K[\textlinb{\Bni}]\Bni & \K[\textlinb{\Bqa}]\Bqa & \K[\textlinb{\Bse}]\Bse & \K[\textlinb{\Bu}]\Bu \\ \K[\textlinb{\Bda}]\Bda & \K[\textlinb{\Bka}]\Bka & \K[\textlinb{\Bno}]\Bno & \K[\textlinb{\Bqe}]\Bqe & \K[\textlinb{\Bsi}]\Bsi & \K[\textlinb{\Bwa}]\Bwa \\ \K[\textlinb{\Bde}]\Bde & \K[\textlinb{\Bke}]\Bke & \K[\textlinb{\Bnu}]\Bnu & \K[\textlinb{\Bqi}]\Bqi & \K[\textlinb{\Bso}]\Bso & \K[\textlinb{\Bwe}]\Bwe \\ \K[\textlinb{\Bdi}]\Bdi & \K[\textlinb{\Bki}]\Bki & \K[\textlinb{\Bnwa}]\Bnwa & \K[\textlinb{\Bqo}]\Bqo & \K[\textlinb{\Bsu}]\Bsu & \K[\textlinb{\Bwi}]\Bwi \\ \K[\textlinb{\Bdo}]\Bdo & \K[\textlinb{\Bko}]\Bko & \K[\textlinb{\Bo}]\Bo & \K[\textlinb{\Bra}]\Bra & \K[\textlinb{\Bswa}]\Bswa & \K[\textlinb{\Bwo}]\Bwo \\ \K[\textlinb{\Bdu}]\Bdu & \K[\textlinb{\Bku}]\Bku & \K[\textlinb{\Bpa}]\Bpa & \K[\textlinb{\Braii}]\Braii & \K[\textlinb{\Bswi}]\Bswi & \K[\textlinb{\Bza}]\Bza \\ \K[\textlinb{\Bdwe}]\Bdwe & \K[\textlinb{\Bma}]\Bma & \K[\textlinb{\Bpaiii}]\Bpaiii & \K[\textlinb{\Braiii}]\Braiii & \K[\textlinb{\Bta}]\Bta & \K[\textlinb{\Bze}]\Bze \\ \K[\textlinb{\Bdwo}]\Bdwo & \K[\textlinb{\Bme}]\Bme & \K[\textlinb{\Bpe}]\Bpe & \K[\textlinb{\Bre}]\Bre & \K[\textlinb{\Btaii}]\Btaii & \K[\textlinb{\Bzo}]\Bzo \\ \K[\textlinb{\Be}]\Be & \K[\textlinb{\Bmi}]\Bmi & \K[\textlinb{\Bpi}]\Bpi & \K[\textlinb{\Bri}]\Bri & \K[\textlinb{\Bte}]\Bte & \\ \K[\textlinb{\Bi}]\Bi & \K[\textlinb{\Bmo}]\Bmo & \K[\textlinb{\Bpo}]\Bpo & \K[\textlinb{\Bro}]\Bro & \K[\textlinb{\Bti}]\Bti & \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textlinb}{\linbfamily}. Single-character shortcuts are also supported: Both ``\verb+\textlinb{\Bpa\Bki\Bna}+'' and ``\verb+\textlinb{pcn}+'' produce ``\textlinb{pcn}'', for example. \seedocs{\LINB}. \end{tablenote} \end{symtable} \begin{symtable}[LINB]{\LINB\ Linear~B Numerals} \index{Linear B} \index{numerals>Linear B} \index{tally markers} \label{linearB-nums} \begin{tabular}{*4{ll@{\qquad}}ll} \K[\textlinb{\BNi}]\BNi & \K[\textlinb{\BNvii}]\BNvii & \K[\textlinb{\BNxl}]\BNxl & \K[\textlinb{\BNc}]\BNc & \K[\textlinb{\BNdcc}]\BNdcc \\ \K[\textlinb{\BNii}]\BNii & \K[\textlinb{\BNviii}]\BNviii & \K[\textlinb{\BNl}]\BNl & \K[\textlinb{\BNcc}]\BNcc & \K[\textlinb{\BNdccc}]\BNdccc \\ \K[\textlinb{\BNiii}]\BNiii & \K[\textlinb{\BNix}]\BNix & \K[\textlinb{\BNlx}]\BNlx & \K[\textlinb{\BNccc}]\BNccc & \K[\textlinb{\BNcm}]\BNcm \\ \K[\textlinb{\BNiv}]\BNiv & \K[\textlinb{\BNx}]\BNx & \K[\textlinb{\BNlxx}]\BNlxx & \K[\textlinb{\BNcd}]\BNcd & \K[\textlinb{\BNm}]\BNm \\ \K[\textlinb{\BNv}]\BNv & \K[\textlinb{\BNxx}]\BNxx & \K[\textlinb{\BNlxxx}]\BNlxxx & \K[\textlinb{\BNd}]\BNd & \\ \K[\textlinb{\BNvi}]\BNvi & \K[\textlinb{\BNxxx}]\BNxxx & \K[\textlinb{\BNxc}]\BNxc & \K[\textlinb{\BNdc}]\BNdc & \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textlinb}{\linbfamily}. \end{tablenote} \end{symtable} \begin{symtable}[LINB]{\LINB\ Linear~B Weights and Measures} \index{Linear B} \label{linearB-weights} \begin{tabular}{*4{ll@{\qquad}}ll} \K[\textlinb{\BPtalent}]\BPtalent & \K[\textlinb{\BPvolb}]\BPvolb & \K[\textlinb{\BPvolcf}]\BPvolcf & \K[\textlinb{\BPwtb}]\BPwtb & \K[\textlinb{\BPwtd}]\BPwtd \\ \K[\textlinb{\BPvola}]\BPvola & \K[\textlinb{\BPvolcd}]\BPvolcd & \K[\textlinb{\BPwta}]\BPwta & \K[\textlinb{\BPwtc}]\BPwtc & \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textlinb}{\linbfamily}. \end{tablenote} \end{symtable} \begin{symtable}[LINB]{\LINB\ Linear~B Ideograms} \index{Linear B} \index{arrows} \index{animals} \label{linearB-objs} \begin{tabular}{*3{ll@{\qquad}}ll} \K[\textlinb{\BPamphora}]\BPamphora & \K[\textlinb{\BPchassis}]\BPchassis & \K[\textlinb{\BPman}]\BPman & \K[\textlinb{\BPwheat}]\BPwheat \\ \K[\textlinb{\BParrow}]\BParrow & \K[\textlinb{\BPcloth}]\BPcloth & \K[\textlinb{\BPnanny}]\BPnanny & \K[\textlinb{\BPwheel}]\BPwheel \\ \K[\textlinb{\BPbarley}]\BPbarley & \K[\textlinb{\BPcow}]\BPcow & \K[\textlinb{\BPolive}]\BPolive & \K[\textlinb{\BPwine}]\BPwine \\ \K[\textlinb{\BPbilly}]\BPbilly & \K[\textlinb{\BPcup}]\BPcup & \K[\textlinb{\BPox}]\BPox & \K[\textlinb{\BPwineiih}]\BPwineiih \\ \K[\textlinb{\BPboar}]\BPboar & \K[\textlinb{\BPewe}]\BPewe & \K[\textlinb{\BPpig}]\BPpig & \K[\textlinb{\BPwineiiih}]\BPwineiiih \\ \K[\textlinb{\BPbronze}]\BPbronze & \K[\textlinb{\BPfoal}]\BPfoal & \K[\textlinb{\BPram}]\BPram & \K[\textlinb{\BPwineivh}]\BPwineivh \\ \K[\textlinb{\BPbull}]\BPbull & \K[\textlinb{\BPgoat}]\BPgoat & \K[\textlinb{\BPsheep}]\BPsheep & \K[\textlinb{\BPwoman}]\BPwoman \\ \K[\textlinb{\BPcauldroni}]\BPcauldroni & \K[\textlinb{\BPgoblet}]\BPgoblet & \K[\textlinb{\BPsow}]\BPsow & \K[\textlinb{\BPwool}]\BPwool \\ \K[\textlinb{\BPcauldronii}]\BPcauldronii & \K[\textlinb{\BPgold}]\BPgold & \K[\textlinb{\BPspear}]\BPspear & \\ \K[\textlinb{\BPchariot}]\BPchariot & \K[\textlinb{\BPhorse}]\BPhorse & \K[\textlinb{\BPsword}]\BPsword & \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textlinb}{\linbfamily}. \end{tablenote} \end{symtable} \begin{symtable}[LINB]{\LINB\ Unidentified Linear~B Symbols} \index{Linear B} \label{linearB-unknown} \begin{tabular}{*4{ll@{\qquad}}ll} \K[\textlinb{\BUi}]\BUi & \K[\textlinb{\BUiv}]\BUiv & \K[\textlinb{\BUvii}]\BUvii & \K[\textlinb{\BUx}]\BUx & \K[\textlinb{\Btwe}]\Btwe \\ \K[\textlinb{\BUii}]\BUii & \K[\textlinb{\BUv}]\BUv & \K[\textlinb{\BUviii}]\BUviii & \K[\textlinb{\BUxi}]\BUxi & \\ \K[\textlinb{\BUiii}]\BUiii & \K[\textlinb{\BUvi}]\BUvi & \K[\textlinb{\BUix}]\BUix & \K[\textlinb{\BUxii}]\BUxii & \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textlinb}{\linbfamily}. \end{tablenote} \end{symtable} \begin{symtable}[CYPR]{\CYPR\ Cypriot Letters} \index{Cypriot} \index{alphabets>Cypriot} \label{cypriot} \begin{tabular}{*5{ll@{\qquad}}ll} \K[\textcypr{\Ca}]\Ca & \K[\textcypr{\Cku}]\Cku & \K[\textcypr{\Cmu}]\Cmu & \K[\textcypr{\Cpo}]\Cpo & \K[\textcypr{\Cso}]\Cso & \K[\textcypr{\Cwi}]\Cwi \\ \K[\textcypr{\Ce}]\Ce & \K[\textcypr{\Cla}]\Cla & \K[\textcypr{\Cna}]\Cna & \K[\textcypr{\Cpu}]\Cpu & \K[\textcypr{\Csu}]\Csu & \K[\textcypr{\Cwo}]\Cwo \\ \K[\textcypr{\Cga}]\Cga & \K[\textcypr{\Cle}]\Cle & \K[\textcypr{\Cne}]\Cne & \K[\textcypr{\Cra}]\Cra & \K[\textcypr{\Cta}]\Cta & \K[\textcypr{\Cxa}]\Cxa \\ \K[\textcypr{\Ci}]\Ci & \K[\textcypr{\Cli}]\Cli & \K[\textcypr{\Cni}]\Cni & \K[\textcypr{\Cre}]\Cre & \K[\textcypr{\Cte}]\Cte & \K[\textcypr{\Cxe}]\Cxe \\ \K[\textcypr{\Cja}]\Cja & \K[\textcypr{\Clo}]\Clo & \K[\textcypr{\Cno}]\Cno & \K[\textcypr{\Cri}]\Cri & \K[\textcypr{\Cti}]\Cti & \K[\textcypr{\Cya}]\Cya \\ \K[\textcypr{\Cjo}]\Cjo & \K[\textcypr{\Clu}]\Clu & \K[\textcypr{\Cnu}]\Cnu & \K[\textcypr{\Cro}]\Cro & \K[\textcypr{\Cto}]\Cto & \K[\textcypr{\Cyo}]\Cyo \\ \K[\textcypr{\Cka}]\Cka & \K[\textcypr{\Cma}]\Cma & \K[\textcypr{\Co}]\Co & \K[\textcypr{\Cru}]\Cru & \K[\textcypr{\Ctu}]\Ctu & \K[\textcypr{\Cza}]\Cza \\ \K[\textcypr{\Cke}]\Cke & \K[\textcypr{\Cme}]\Cme & \K[\textcypr{\Cpa}]\Cpa & \K[\textcypr{\Csa}]\Csa & \K[\textcypr{\Cu}]\Cu & \K[\textcypr{\Czo}]\Czo \\ \K[\textcypr{\Cki}]\Cki & \K[\textcypr{\Cmi}]\Cmi & \K[\textcypr{\Cpe}]\Cpe & \K[\textcypr{\Cse}]\Cse & \K[\textcypr{\Cwa}]\Cwa & \\ \K[\textcypr{\Cko}]\Cko & \K[\textcypr{\Cmo}]\Cmo & \K[\textcypr{\Cpi}]\Cpi & \K[\textcypr{\Csi}]\Csi & \K[\textcypr{\Cwe}]\Cwe & \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textcypr}{\cyprfamily}. Single-character shortcuts are also supported: Both ``\verb+\textcypr{\Cpa\Cki\Cna}+'' and ``\verb+\textcypr{pcn}+'' produce ``\textcypr{pcn}'', for example. \seedocs{\CYPR}. \end{tablenote} \end{symtable} \begin{symtable}[SARAB]{\SARAB\ South Arabian Letters} \index{South Arabian alphabet} \index{alphabets>South Arabian} \label{sarabian} \begin{tabular}{*4{ll@{\qquad}}ll} \K[\textsarab{\SAa}]\SAa & \K[\textsarab{\SAz}]\SAz & \K[\textsarab{\SAm}]\SAm & \K[\textsarab{\SAsd}]\SAsd & \K[\textsarab{\SAdb}]\SAdb \\ \K[\textsarab{\SAb}]\SAb & \K[\textsarab{\SAhd}]\SAhd & \K[\textsarab{\SAn}]\SAn & \K[\textsarab{\SAq}]\SAq & \K[\textsarab{\SAtb}]\SAtb \\ \K[\textsarab{\SAg}]\SAg & \K[\textsarab{\SAtd}]\SAtd & \K[\textsarab{\SAs}]\SAs & \K[\textsarab{\SAr}]\SAr & \K[\textsarab{\SAga}]\SAga \\ \K[\textsarab{\SAd}]\SAd & \K[\textsarab{\SAy}]\SAy & \K[\textsarab{\SAf}]\SAf & \K[\textsarab{\SAsv}]\SAsv & \K[\textsarab{\SAzd}]\SAzd \\ \K[\textsarab{\SAh}]\SAh & \K[\textsarab{\SAk}]\SAk & \K[\textsarab{\SAlq}]\SAlq & \K[\textsarab{\SAt}]\SAt & \K[\textsarab{\SAsa}]\SAsa \\ \K[\textsarab{\SAw}]\SAw & \K[\textsarab{\SAl}]\SAl & \K[\textsarab{\SAo}]\SAo & \K[\textsarab{\SAhu}]\SAhu & \K[\textsarab{\SAdd}]\SAdd \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textsarab}{\sarabfamily}. Single-character shortcuts are also supported: Both ``\verb+\textsarab{\SAb\SAk\SAn}+'' and ``\verb+\textsarab{bkn}+'' produce ``\textsarab{bkn}'', for example. \seedocs{\SARAB}. \end{tablenote} \end{symtable} \begin{symtable}[PRSN]{\PRSN\ Cuneiform Letters} \index{cuneiform} \index{alphabets>Old Persian (cuneiform)} \label{oldprsn} \begin{tabular}{*4{ll@{\qquad}}ll} \K[\textcopsn{\Oa}]\Oa & \K[\textcopsn{\Oga}]\Oga & \K[\textcopsn{\Ola}]\Ola & \K[\textcopsn{\Oru}]\Oru & \K[\textcopsn{\Ovi}]\Ovi \\ \K[\textcopsn{\Oba}]\Oba & \K[\textcopsn{\Ogu}]\Ogu & \K[\textcopsn{\Oma}]\Oma & \K[\textcopsn{\Osa}]\Osa & \K[\textcopsn{\Oxa}]\Oxa \\ \K[\textcopsn{\Oca}]\Oca & \K[\textcopsn{\Oha}]\Oha & \K[\textcopsn{\Omi}]\Omi & \K[\textcopsn{\Osva}]\Osva & \K[\textcopsn{\Oya}]\Oya \\ \K[\textcopsn{\Occa}]\Occa & \K[\textcopsn{\Oi}]\Oi & \K[\textcopsn{\Omu}]\Omu & \K[\textcopsn{\Ota}]\Ota & \K[\textcopsn{\Oza}]\Oza \\ \K[\textcopsn{\Oda}]\Oda & \K[\textcopsn{\Oja}]\Oja & \K[\textcopsn{\Ona}]\Ona & \K[\textcopsn{\Otha}]\Otha & \\ \K[\textcopsn{\Odi}]\Odi & \K[\textcopsn{\Oji}]\Oji & \K[\textcopsn{\Onu}]\Onu & \K[\textcopsn{\Otu}]\Otu & \\ \K[\textcopsn{\Odu}]\Odu & \K[\textcopsn{\Oka}]\Oka & \K[\textcopsn{\Opa}]\Opa & \K[\textcopsn{\Ou}]\Ou & \\ \K[\textcopsn{\Ofa}]\Ofa & \K[\textcopsn{\Oku}]\Oku & \K[\textcopsn{\Ora}]\Ora & \K[\textcopsn{\Ova}]\Ova & \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textcopsn}{\copsnfamily}. Single-character shortcuts are also supported: Both ``\verb+\textcopsn{\Opa\Oka\Ona}+'' and ``\verb+\textcopsn{pkn}+'' produce ``\textcopsn{pkn}'', for example. \seedocs{\PRSN}. \end{tablenote} \end{symtable} \begin{symtable}[PRSN]{\PRSN\ Cuneiform Numerals} \index{cuneiform} \index{numerals>cuneiform} \label{oldprsn-nums} \begin{tabular}{*4{ll@{\qquad}}ll} \K[\textcopsn{\Oone}]\Oone & \K[\textcopsn{\Otwo}]\Otwo & \K[\textcopsn{\Oten}]\Oten & \K[\textcopsn{\Otwenty}]\Otwenty & \K[\textcopsn{\Ohundred}]\Ohundred \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textcopsn}{\copsnfamily}. \end{tablenote} \end{symtable} \begin{symtable}[PRSN]{\PRSN\ Cuneiform Words} \index{cuneiform} \label{oldprsn-objs} \begin{tabular}{*3{ll@{\qquad}}ll} \K[\textcopsn{\OAura}]\OAura & \K[\textcopsn{\Ocountrya}]\Ocountrya & \K[\textcopsn{\Ogod}]\Ogod & \\ \K[\textcopsn{\OAurb}]\OAurb & \K[\textcopsn{\Ocountryb}]\Ocountryb & \K[\textcopsn{\Oking}]\Oking & \\ \K[\textcopsn{\OAurc}]\OAurc & \K[\textcopsn{\Oearth}]\Oearth & \K[\textcopsn{\Owd}]\Owd & \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textcopsn}{\copsnfamily}. \end{tablenote} \end{symtable} \begin{symtable}[UGAR]{\UGAR\ Cuneiform Letters} \index{cuneiform} \index{alphabets>Ugarite (cuneiform)} \label{ugarite} \begin{tabular}{*4{ll@{\qquad}}ll} \K[\textcugar{\Arq}]\Arq & \K[\textcugar{\Az}]\Az & \K[\textcugar{\Am}]\Am & \K[\textcugar{\Asd}]\Asd & \K[\textcugar{\Au}]\Au \\ \K[\textcugar{\Ab}]\Ab & \K[\textcugar{\Ahd}]\Ahd & \K[\textcugar{\Adb}]\Adb & \K[\textcugar{\Aq}]\Aq & \K[\textcugar{\Asg}]\Asg \\ \K[\textcugar{\Ag}]\Ag & \K[\textcugar{\Atd}]\Atd & \K[\textcugar{\An}]\An & \K[\textcugar{\Ar}]\Ar & \K[\textcugar{\Awd}]\Awd \\ \K[\textcugar{\Ahu}]\Ahu & \K[\textcugar{\Ay}]\Ay & \K[\textcugar{\Azd}]\Azd & \K[\textcugar{\Atb}]\Atb & \\ \K[\textcugar{\Ad}]\Ad & \K[\textcugar{\Ak}]\Ak & \K[\textcugar{\As}]\As & \K[\textcugar{\Agd}]\Agd & \\ \K[\textcugar{\Ah}]\Ah & \K[\textcugar{\Asa}]\Asa & \K[\textcugar{\Alq}]\Alq & \K[\textcugar{\At}]\At & \\ \K[\textcugar{\Aw}]\Aw & \K[\textcugar{\Al}]\Al & \K[\textcugar{\Ap}]\Ap & \K[\textcugar{\Ai}]\Ai & \\ \end{tabular} \bigskip \begin{tablenote} \usefontcmdmessage{\textcugar}{\cugarfamily}. Single-character shortcuts and various aliases are also supported: ``\verb+\textcopsn{\Ap\Aq\An}+'', ``\verb+\textcopsn{\Ape\Aqoph\Anun}+'', and ``\verb+\textcopsn{pqn}+'' all produce ``\textcopsn{pqn}'', for example. \seedocs{\UGAR}. \end{tablenote} \end{symtable} \begin{symtable}[TEUB]{\TEUB\ Archaic Greek Letters and Greek Numerals} \index{alphabets>Greek} \index{Greek>letters} \index{Greek>numerals} \label{teubner} \begin{tabular}{*3{ll@{\qquad}}ll} \Kgr\Coppa$^\dag$ & \Kgr[\TEUBDigamma]\Digamma$^*$ & \Kgr\sampi$^*$ & \Kgr\varstigma \\ \Kgr\coppa$^\dag$ & \Kgr\koppa$^*$ & \Kgr\Stigma & \\ \Kgr[\TEUBdigamma]\digamma$^{*,\ddag}$ & \Kgr\Sampi & \Kgr\stigma$^*$ & \\ \end{tabular} \bigskip \begin{tablenote}[*] Technically, these symbols do not require \TEUB; it is sufficient to load the \pkgname{babel} package with the \optname{babel}{greek} option (upon which \TEUB\ depends)---but use \cmdI[\string\encgreek{\string\koppa}]{\qoppa} for \cmdI[\string\encgreek{\string\koppa}]{\koppa} and \cmdI[\string\encgreek{\string\TEUBdigamma}]{\ddigamma} for \cmdI[\string\encgreek{\string\TEUBdigamma}]{\digamma}. \end{tablenote} \medskip \begin{tablenote}[\dag] For compatibility with other naming conventions \TEUB\ defines \cmdI[\string\encgreek{\string\Coppa}]{\Koppa} as a synonym for \cmdI[\string\encgreek{\string\Coppa}]{\Coppa} and \cmdI[\string\encgreek{\string\coppa}]{\varcoppa} as a synonym for \cmdI[\string\encgreek{\string\coppa}]{\coppa}. \end{tablenote} \medskip \begin{tablenote}[\ddag] If both \TEUB\ and \pkgname{amssymb} are loaded, \TEUB's \cmdI[\string\encgreek{\string\TEUBdigamma}]{\digamma} replaces \pkgname{amssymb}'s \ifAMS \cmdX{\digamma}, \else \verb|\digamma|, \fi % AMS test regardless of package-loading order. \end{tablenote} \end{symtable} \begin{symtable}[BSK]{\BSK\ Archaic Greek Letters and Greek Numerals} \index{alphabets>Greek} \index{Greek>letters} \index{Greek>numerals} \label{bsk-greek} \begin{tabular}{*3{ll@{\qquad}}ll} \K[\BSKDigamma]\Digamma & \K[\BSKqoppa]\qoppa & \K[\BSKstigma]\stigma & \K[\BSKvarsampi]\varsampi \\ \K[\BSKdigamma]\digamma & \K[\BSKQoppa]\Qoppa & \K[\BSKStigma]\Stigma & \\ \K[\BSKheta]\heta & \K[\BSKSampi]\Sampi & \K[\BSKvardigamma]\vardigamma & \\ \K[\BSKHeta]\Heta & \K[\BSKsampi]\sampi & \K[\BSKVarsampi]\Varsampi & \\ \end{tabular} \end{symtable} \begin{longsymtable}[EPI]{\EPI\ Epi-Olmec Script} \ltindex{Epi-Olmec script} \ltindex{Isthmian script} \ltindex{symbols>Epi-Olmec} \ltindex{symbols>Isthmian} \label{epi-olmec} \begin{longtable}{*2{ll@{\qqquad}}ll} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\EOafter & \K\EOMiddle & \K\EOStarWarrior \\ \K\EOandThen & \K\EOmonster & \K\EOstep \\ \K\EOAppear & \K\EOMountain & \K\EOSu \\ \K\EOBeardMask & \K\EOmuu & \K\EOsu \\ \K\EOBedeck & \K\EOna & \K\EOsun \\ \K\EOBlood & \K\EOne & \K\EOsuu \\ \K\EObrace & \K\EOni & \K\EOSuu \\ \K\EObuilding & \K\EOnow & \K\EOta \\ \K\EOBundle & \K\EOnu & \K\EOte \\ \K\EOChop & \K\EOnuu & \K\EOthrone \\ \K\EOChronI & \K\EOofficerI & \K\EOti \\ \K\EOCloth & \K\EOofficerII & \K\EOtime \\ \K\EODealWith & \K\EOofficerIII & \K\EOTime \\ \K\EODeer & \K\EOofficerIV & \K\EOTitle \\ \K\EOeat & \K\EOpa & \K\EOTitleII \\ \K\EOflint & \K\EOpak & \K\EOTitleIV \\ \K\EOflower & \K\EOPatron & \K\EOto \\ \K\EOFold & \K\EOPatronII & \K\EOtu \\ \K\EOGod & \K\EOpe & \K\EOtuki \\ \K\EOGoUp & \K\EOpenis & \K\EOtukpa \\ \K\EOgovernor & \K\EOpi & \K\EOturtle \\ \K\EOGuise & \K\EOPierce & \K\EOtuu \\ \K\EOHallow & \K\EOPlant & \K\EOtza \\ \K\EOja & \K\EOPlay & \K\EOtze \\ \K\EOjaguar & \K\EOpo & \K\EOtzetze \\ \K\EOje & \K\EOpriest & \K\EOtzi \\ \K\EOji & \K\EOPrince & \K\EOtzu \\ \K\EOJI & \K\EOpu & \K\EOtzuu \\ \K\EOjo & \K\EOpuu & \K\EOundef \\ \K\EOju & \K\EOpuuk & \K\EOvarBeardMask \\ \K\EOkak & \K\EORain & \K\EOvarja \\ \K\EOke & \K\EOSa & \K\EOvarji \\ \K\EOki & \K\EOsa & \K\EOvarki \\ \K\EOkij & \K\EOsacrifice & \K\EOvarkuu \\ \K\EOKing & \K\EOSaw & \K\EOvarni \\ \K\EOknottedCloth & \K\EOScorpius & \K\EOvarpa \\ \K\EOknottedClothStraps & \K\EOset & \K\EOvarSi \\ \K\EOko & \K\EOsi & \K\EOvarsi \\ \K\EOku & \K\EOSi & \K\EOvartza \\ \K\EOkuu & \K\EOsing & \K\EOvarwuu \\ \K\EOLetBlood & \K\EOSini & \K\EOvarYear \\ \K\EOloinCloth & \K\EOskin & \K\EOwa \\ \K\EOlongLipII & \K\EOSky & \K\EOwe \\ \K\EOLord & \K\EOskyAnimal & \K\EOwi \\ \K\EOLose & \K\EOskyPillar & \K\EOwo \\ \K\EOma & \K\EOsnake & \K\EOwuu \\ \K\EOmacaw & \K\EOSo & \K\EOya \\ \K\EOmacawI & \K\EOSpan & \K\EOyaj \\ \K\EOme & \K\EOSprinkle & \K\EOye \\ \K\EOmexNew & \K\EOstar & \K\EOYear \\ \K\EOmi & \K\EOstarWarrior & \K\EOyuu \\ \end{longtable} \end{longsymtable} \begin{symtable}[EPI]{\EPI\ Epi-Olmec Numerals} \index{Epi-Olmec script} \index{Isthmian script} \index{symbols>Epi-Olmec} \index{symbols>Isthmian} \index{numerals>Epi-Olmec} \index{numerals>Isthmian} \label{epi-olmec-numerals} \begin{tabular}{*4{ll}} \K\EOzero & \K\EOvi & \K\EOxii & \K\EOxviii \\ \K\EOi & \K\EOvii & \K\EOxiii & \K\EOxix \\ \K\EOii & \K\EOviii & \K\EOxiv & \K\EOxx \\ \K\EOiii & \K\EOix & \K\EOxv & \\ \K\EOiv & \K\EOx & \K\EOxvi & \\ \K\EOv & \K\EOxi & \K\EOxvii & \\ \end{tabular} \end{symtable} \begin{symtable}[ARUNE]{\ARUNE\ Runes} \index{runes} \index{symbols>runes} \label{allrunes} \begin{tabular}{ll*5{@{\qquad}ll}} \K[\ARUNEa]\a & \K[\ARUNECE]E & \K[\ARUNEING]\ING & \K[\ARUNECm]m & \K[\ARUNECR]R & \K[\ARUNEsthree]\sthree \\ \K[\ARUNEA]\A & \K[\ARUNECF]F & \K[\ARUNEing]\ing & \K[\ARUNECn]n & \K[\ARUNERR]\RR & \K[\ARUNECT]T \\ \K[\ARUNECa]a & \K[\ARUNECf]f & \K[\ARUNEIng]\Ing & \K[\ARUNENG]\NG & \K[\ARUNEs]\s & \K[\ARUNECt]t \\ \K[\ARUNECA]A & \K[\ARUNECg]g & \K[\ARUNEj]\j & \K[\ARUNEng]\ng & \K[\ARUNECs]s & \K[\ARUNEtextsection]\textsection \\ \K[\ARUNECb]b & \K[\ARUNEh]\h & \K[\ARUNECj]j & \K[\ARUNECo]o & \K[\ARUNECS]S & \K[\ARUNEth]\th \\ \K[\ARUNECB]B & \K[\ARUNECH]H & \K[\ARUNECJ]J & \K[\ARUNEp]\p & \K[\ARUNEseight]\seight & \K[\ARUNECU]U \\ \K[\ARUNEd]\d & \K[\ARUNECh]h & \K[\ARUNEk]\k & \K[\ARUNECp]p & \K[\ARUNEsfive]\sfive & \K[\ARUNECu]u \\ \K[\ARUNECD]D & \K[\ARUNEi]\i & \K[\ARUNEK]\K & \K[\ARUNECP]P & \K[\ARUNEsfour]\sfour & \K[\ARUNECw]w \\ \K[\ARUNECd]d & \K[\ARUNECi]i & \K[\ARUNECk]k & \K[\ARUNER]\R & \K[\ARUNEsseven]\sseven & \\ \K[\ARUNECe]e & \K[\ARUNECI]I & \K[\ARUNECl]l & \K[\ARUNECr]r & \K[\ARUNEssix]\ssix & \\ \end{tabular} \bigskip \begin{tablenote} The symbols in this table should appear within the argument to \cmd{\textarc} (for common Germanic\idxboth{Germanic}{runes} runes), \cmd{\textara} (for Anglo-Frisian\idxboth{Anglo-Frisian}{runes} runes), \cmd{\textarn} (for normal\idxboth{normal}{runes} runes), \cmd{\textart} (for short-twig\idxboth{short-twig}{runes} runes), \cmd{\textarl} (for staveless\idxboth{staveless}{runes} runes), \cmd{\textarm} (for medieval\idxboth{medieval}{runes} runes), or within a scope that sets, respectively, \cmd{\arcfamily}, \cmd{\arafamily}, \cmd{\arnfamily}, \cmd{\artfamily}, \cmd{\arlfamily}, or \cmd{\armfamily}. Each family presents slightly different glyphs and/or slightly different subsets of the available runes. (The table presents the common Germanic\idxboth{Germanic}{runes} runes.) \seedocs{\ARUNE}. \end{tablenote} \end{symtable} \begin{symtable}[ARUNE]{\ARUNE\ Rune Separators} \index{runes} \index{symbols>runes} \label{allrunes-sep} \begin{tabular}{*4{ll}} \K[\ARUNEbar]\bar & \K[\ARUNEdoubleeye]\doubleeye & \K[\ARUNEplus]\plus & \K[\ARUNEtripledot]\tripledot \\ \K[\ARUNEcross]\cross & \K[\ARUNEdoubleplus]\doubleplus & \K[\ARUNEquaddot]\quaddot & \K[\ARUNEtripleeye]\tripleeye \\ \K[\ARUNEdot]\dot & \K[\ARUNEdoublestar]\doublestar & \K[\ARUNEquadeye]\quadeye & \K[\ARUNEtripleplus]\tripleplus \\ \K[\ARUNEdoublebar]\doublebar & \K[\ARUNEeye]\eye & \K[\ARUNEstar]\star & \\ \K[\ARUNEdoublecross]\doublecross & \K[\ARUNEpentdot]\pentdot & \K[\ARUNEtriplebar]\triplebar & \\ \K[\ARUNEdoubledot]\doubledot & \K[\ARUNEpenteye]\penteye & \K[\ARUNEtriplecross]\triplecross & \\ \end{tabular} \bigskip \begin{tablenote} See the usage comment under \vref{allrunes}. \end{tablenote} \end{symtable} \index{ancient-language symbols|)} \index{symbols>ancient language|)} \section{Musical symbols} \idxbothbegin{musical}{symbols} \tablesubsections The following symbols are used to typeset musical notation. \ifLILY The \LILY\ package provides a large subset of the symbols in this section. Note, however, that \LILY\ depends upon the \pkgname{fontspec} package, OpenType\index{OpenType} (\fileext{otf}) fonts, and some PDF\index{PDF} graphics and therefore works only with \lualatex\ or \xelatex. \fi % LILY test A simple way to typeset time\index{time signatures} signatures, due to \person{Daniel}{Hirst}, is to attach a superscript and a subscript to an empty math object. For example, \verb|${}^3_4$| renders as ``$\,{}^3_4\,$''. Because superscripts and subscripts are left-justified, some extra padding may need to be added if the beats per measure and beat unit contain different numbers of digits. A 5\,mu space (``\verb|\;|'') vertically centers the ``8'' relative to the ``12'' in \verb|${}^{12}_{\;8}$|~(``${}^{12}_{\;8}$''). For boldface time signatures (e.g.,~``\,\boldmath${}^4_4$\,''), consider the boldface-math options presented in \ref{bold-math}. \ifMUSICOG See also \ref{musicography-time-sig}. \fi \bigskip \begin{symtable}{\latexE\ Musical Symbols} \idxboth{musical}{symbols} \label{latex-music} \begin{tabular}{*3{ll}} \X\flat & \X\natural & \X\sharp \\ \end{tabular} \end{symtable} \begin{symtable}{\TC\ Musical Symbols} \idxboth{musical}{symbols} \label{tc-music} \begin{tabular}{ll} \K\textmusicalnote \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ Musical Symbols} \idxboth{musical}{symbols} \label{wasy-music} \begin{tabular}{*5{ll}} \K\eighthnote & \K\halfnote & \K\twonotes & \K\fullnote & \K\quarternote \\ \end{tabular} \end{symtable} \begin{symtable}[MNS]{\MNS\ Musical Symbols} \idxboth{musical}{symbols} \label{mns-music} \begin{tabular}{*3{ll}} \K[\MNSflat]\flat & \K[\MNSnatural]\natural & \K[\MNSsharp]\sharp \\ \end{tabular} \end{symtable} \begin{symtable}[FDSYM]{\FDSYM\ Musical Symbols} \idxboth{musical}{symbols} \label{fdsym-music} \begin{tabular}{*3{ll}} \K[\FDSYMflat]\flat & \K[\FDSYMnatural]\natural & \K[\FDSYMsharp]\sharp \\ \end{tabular} \end{symtable} \begin{symtable}[BSK]{\BSK\ Musical Symbols} \idxboth{musical}{symbols} \label{bsk-music} \begin{tabular}{*3{ll}} \K[\BSKflat]\flat & \K[\BSKnatural]\natural & \K[\BSKsharp]\sharp \\ \end{tabular} \end{symtable} \begin{symtable}[STIX]{\STIX\ Musical Symbols} \idxboth{musical}{symbols} \label{stix-music} \begin{tabular}{*3{ll}} \K[\STIXeighthnote]\eighthnote & \K[\STIXnatural]\natural & \K[\STIXsharp]\sharp \\ \K[\STIXflat]\flat & \K[\STIXquarternote]\quarternote & \K[\STIXtwonotes]\twonotes \\ \end{tabular} \end{symtable} \begin{symtable}[AREV]{\AREV\ Musical Symbols} \idxboth{musical}{symbols} \label{arev-music} \begin{tabular}{ll@{\qquad}ll@{\qquad}ll} \K[\AREVquarternote]\quarternote & \K[\AREVeighthnote]\eighthnote & \K[\AREVsixteenthnote]\sixteenthnote \\ \end{tabular} \end{symtable} \begin{longsymtable}[MSX]{\MSX\ Musical Symbols} \ltidxboth{musical}{symbols} \ltindex{clefs} \ltindex{alla breve} \ltindex{cut time} \label{musixtex-music} \renewcommand{\arraystretch}{1.75} % Prevent tall symbols from touching. \begin{longtable}{*2{ll@{\qqquad}}ll} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\MSXallabreve]\allabreve & \K[\MSXlsf]\lsf & \K[\MSXshake]\shake \\ \K[\MSXaltoclef]\altoclef & \K[\MSXlsfz]\lsfz & \K[\MSXShake]\Shake \\ \K[\MSXbackturn]\backturn & \K[\MSXmaxima]\maxima & \K[\MSXShakel]\Shakel \\ \K[\MSXbassclef]\bassclef & \K[\MSXmeterplus]\meterplus & \K[\MSXShakene]\Shakene \\ \K[\MSXcaesura]\caesura & \K[\MSXmordent]\mordent & \K[\MSXShakenw]\Shakenw \\ \K[\MSXcoda]\coda & \K[\MSXMordent]\Mordent & \K[\MSXShakesw]\Shakesw \\ \K[\MSXCoda]\Coda & \K[\MSXPAUSe]\PAUSe & \K[\MSXsmallaltoclef]\smallaltoclef \\ \K[\MSXDep]\Dep & \K[\MSXPAuse]\PAuse & \K[\MSXsmallbassclef]\smallbassclef \\ \K[\MSXdoublethumb]\doublethumb & \K[\MSXpause]\pause & \K[\MSXsmalltrebleclef]\smalltrebleclef \\ \K[\MSXdownbow]\downbow & \K[\MSXPed]\Ped & \K[\MSXsPed]\sPed \\ \K[\MSXds]\ds & \K[\MSXqp]\qp & \K[\MSXtrebleclef]\trebleclef \\ \K[\MSXduevolte]\duevolte & \K[\MSXqqs]\qqs & \K[\MSXtrill]\trill \\ \K[\MSXfermatadown]\fermatadown & \K[\MSXqs]\qs & \K[\MSXturn]\turn \\ \K[\MSXfermataup]\fermataup & \K[\MSXreverseallabreve]\reverseallabreve & \K[\MSXupbow]\upbow \\ \K[\MSXflageolett]\flageolett & \K[\MSXreverseC]\reverseC & \K[\MSXusf]\usf \\ \K[\MSXhpause]\hpause & \K[\MSXsDep]\sDep & \K[\MSXusfz]\usfz \\ \K[\MSXhs]\hs & \K[\MSXSegno]\Segno & \K[\MSXwq]\wq \\ \K[\MSXlonga]\longa & \K[\MSXsegno]\segno & \K[\MSXwqq]\wqq \\ \end{longtable} \bigskip \begin{tablenote} All of these symbols are intended to be used in the context of typesetting musical scores. \seedocs{\MSX}. \end{tablenote} \end{longsymtable} \begin{symtable}[MSX]{\MSX\ Alternative Clefs} \idxboth{musical}{symbols} \index{Gregorian music} \index{liturgical music} \index{clefs} \index{percussion} \label{musixtex-clefs} \renewcommand{\arraystretch}{1.75} % Prevent tall symbols from touching. \begin{tabular}{ll@{\qquad}ll} \K[\MSXdrumclef]\drumclef & \K[\MSXgregorianFclef]\gregorianFclef \\ \K[\MSXgregorianCclef]\gregorianCclef & \K[\MSXoldGclef]\oldGclef \\ \end{tabular} \bigskip \begin{tablenote} In addition to \MSX, \cmdI[\string\MSXdrumclef]{\drumclef} requires the \pkgname[pkg=musixtex]{musixper} package; \cmdI[\string\MSXoldGclef]{\oldGclef} requires the \pkgname[pkg=musixtex]{musixlit} package; and both \cmdI[\string\MSXgregorianCclef]{\gregorianCclef} and \cmdI[\string\MSXgregorianFclef]{\gregorianFclef} require the \pkgname[pkg=musixtex]{musixgre} package. Together with \MSX, these packages provide a complete system for typesetting percussion notation (\pkgname[pkg=musixtex]{musixper}), liturgical music (\pkgname[pkg=musixtex]{musixlit}), and Gregorian chants (\pkgname[pkg=musixtex]{musixgre}, including the staffs and all of the necessary neumes\index{neumes}. \seedocs{\MSX}. \end{tablenote} \end{symtable} \begin{symtable}[HARM]{\HARM\ Musical Symbols} \idxboth{musical}{symbols} \label{harmony-music} \begin{tabular}{*4{ll@{\qqquad}}ll} \K\AAcht & \K\DDohne & \K\Halb & \K\SechBR & \K\VM \\ \K\Acht & \K\Dohne & \K\HaPa & \K\SechBr & \K\Zwdr \\ \K\AchtBL & \K\Ds & \K\Pu & \K\SePa & \K\ZwPa \\ \K\AchtBR & \K\DS & \K\Sech & \K\UB & \\ \K\AcPa & \K\Ganz & \K\SechBL & \K\Vier & \\ \K\DD & \K\GaPa & \K\SechBl & \K\ViPa & \\ \end{tabular} \bigskip \begin{tablenote} The \MSX\ package must be installed to use \HARM. \end{tablenote} \end{symtable} \begin{symtable}[MUSICOG]{\MUSICOG\ Musical Symbols} \idxboth{musical}{symbols} \label{musicography-music} \begin{tabular}{*2{ll@{\qqquad}}ll} \K\musDoubleFlat & \K\musNatural & \K\musSixtyFourth \\ \K\musDoubleSharp & \K\musQuarter & \K\musSixtyFourthDotted \\ \K\musEighth & \K\musQuarterDotted & \K\musThirtySecond \\ \K\musEighthDotted & \K\musSegno & \K\musThirtySecondDotted \\ \K\musFlat & \K\musSharp & \K\musWhole \\ \K\musHalf & \K\musSixteenth & \K\musWholeDotted \\ \K\musHalfDotted & \K\musSixteenthDotted & \\ \end{tabular} \bigskip \begin{tablenote} \MUSICOG\ defines \cmdI{\fl}, \cmdI{\sh}, and \cmdI{\na} as shorthands for \cmdI{\musFlat}, \cmdI{\musSharp}, and \cmdI{musNatural}, respectively. It also defines \cmdI{\musCorchea} as an alias for \cmdI{\musEighth}, \cmdI{\musCorcheaDotted} as an alias for \cmdI{\musEighthDotted}, \cmdI{\musFusa} as an alias for \cmdI{\musEighth}, \cmdI{\musFusaDotted} as an alias for \cmdI{\musEighthDotted}, \cmdI{\musMinim} as an alias for \cmdI{\musHalf}, \cmdI{\musMinimDotted} as an alias for \cmdI{\musHalfDotted}, \cmdI{\musSemibreve} as an alias for \cmdI{\musWhole}, \cmdI{\musSemibreveDotted} as an alias for \cmdI{\musWholeDotted}, \cmdI{\musSemiminim} as an alias for \cmdI{\musQuarter}, and \cmdI{\musSeminiminimDotted} as an alias for \cmdI{\musQuarterDotted}. The \MSX\ package must be installed to use \MUSICOG. \end{tablenote} \end{symtable} \begin{symtable}[MUSICOG]{\MUSICOG\ Time Signatures} \idxboth{musical}{symbols} \index{time signatures} \index{alla breve} \index{cut time} \label{musicography-time-sig} \renewcommand{\arraystretch}{1.25} % Prevent tall symbols from touching. \begin{tabular}{*2{ll@{\qqquad}}ll} \K\meterC & \K\meterCThreeTwo & \K\meterCZ \\ \K\meterCThree & \K\meterCutC & \K\meterO \\ \end{tabular} \bigskip \begin{tablenote} Other time signatures can be specified with \cmd{\musMeter}, as in \vspace{-\baselineskip} \begin{center} \verb|\musMeter{2}{4}| \quad $\rightarrow$ \quad \raisebox{-0.5\baselineskip}{\musMeter{2}{4}} \end{center} The \MSX\ package must be installed to use \MUSICOG. \end{tablenote} \end{symtable} \begin{symtable}[HARM]{\HARM\ Musical Accents} \idxboth{musical}{symbols} \index{accents} \index{time signatures} \index{alla breve} \index{cut time} \label{harmony-accents} \renewcommand{\arraystretch}{1.6} % Prevent tall symbols from touching. \begin{tabular}{ll@{\qqquad}ll} \Q\Ferli$^*$ & \Q\Ohne$^*$ \\ \Q\Fermi & \Q\Umd$^*$ \\ \Qc\Kr & \\ \end{tabular} \bigskip \begin{tablenote}[*] These symbols take an optional argument which shifts the accent either horizontally or vertically (depending on the command) by the given distance. \end{tablenote} \bigskip \begin{tablenote} In addition to the accents shown above, \cmd{\HH} is a special accent command that accepts five period-separated characters and typesets them such that ``\verb|\HH.X.a.b.c.d.|'' produces ``\harmHH.X.a.b.c.d.''. All arguments except the first can be omitted: ``\verb|\HH.X.....|'' produces ``\harmHH.X.....''. \cmd{\Takt} takes two arguments and composes them into a musical time signature. For example, ``\verb|\Takt{12}{8}|'' produces ``\Takt{12}{8}''. As two special cases, ``\verb|\Takt{c}{0}|'' produces ``\Takt{c}{0}'' and ``\verb|\Takt{c}{1}|'' produces ``\Takt{c}{1}''. The \MSX\ package must be installed to use \HARM. \end{tablenote} \end{symtable} \begin{longsymtable}[LILY]{\LILY\ Single Notes} \ltidxboth{musical}{symbols} \label{lily-notes} \begin{longtable}{*2{ll}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\eighthNote & \K\quarterNoteDottedDown \\ \K\eighthNoteDotted & \K\quarterNoteDown \\ \K\eighthNoteDottedDouble & \K\sixteenthNote \\ \K\eighthNoteDottedDoubleDown & \K\sixteenthNoteDotted \\ \K\eighthNoteDottedDown & \K\sixteenthNoteDottedDouble \\ \K\eighthNoteDown & \K\sixteenthNoteDottedDoubleDown \\ \K\halfNote & \K\sixteenthNoteDottedDown \\ \K\halfNoteDotted & \K\sixteenthNoteDown \\ \K\halfNoteDottedDouble & \K\thirtysecondNote \\ \K\halfNoteDottedDoubleDown & \K\thirtysecondNoteDotted \\ \K\halfNoteDottedDown & \K\thirtysecondNoteDottedDouble \\ \K\halfNoteDown & \K\thirtysecondNoteDottedDoubleDown \\ \K\quarterNote & \K\thirtysecondNoteDottedDown \\ \K\quarterNoteDotted & \K\thirtysecondNoteDown \\ \K\quarterNoteDottedDouble & \K\wholeNote \\ \K\quarterNoteDottedDoubleDown & \K\wholeNoteDotted \\ \end{longtable} \LILY\ defines synonyms for all of the preceding symbols: \begin{longtable}{*2{ll}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\crotchet & \K\minimDottedDown \\ \K\crotchetDotted & \K\minimDown \\ \K\crotchetDottedDouble & \K\quaver \\ \K\crotchetDottedDoubleDown & \K\quaverDotted \\ \K\crotchetDottedDown & \K\quaverDottedDouble \\ \K\crotchetDown & \K\quaverDottedDoubleDown \\ \K\demisemiquaver & \K\quaverDottedDown \\ \K\demisemiquaverDotted & \K\quaverDown \\ \K\demisemiquaverDottedDouble & \K\semibreve \\ \K\demisemiquaverDottedDoubleDown & \K\semibreveDotted \\ \K\demisemiquaverDottedDown & \K\semiquaver \\ \K\demisemiquaverDown & \K\semiquaverDotted \\ \K\minim & \K\semiquaverDottedDouble \\ \K\minimDotted & \K\semiquaverDottedDoubleDown \\ \K\minimDottedDouble & \K\semiquaverDottedDown \\ \K\minimDottedDoubleDown & \K\semiquaverDown \\ \end{longtable} \end{longsymtable} \begin{symtable}[LILY]{\LILY\ Beamed Notes} \idxboth{musical}{symbols} \renewcommand{\arraystretch}{1.5} % Prevent tall symbols from touching. \begin{tabular}{*2{ll}} \K\twoBeamedQuavers & \K\threeBeamedQuaversII \\ \K\threeBeamedQuavers & \K\threeBeamedQuaversIII \\ \K\threeBeamedQuaversI & \\ \end{tabular} \end{symtable} \begin{symtable}[LILY]{\LILY\ Clefs} \idxboth{musical}{symbols} \index{clefs} \label{lily-clefs} \begin{tabular}{ll@{\qquad}ll@{\qquad}ll} \K\clefC & \K\clefF & \K\clefG \\ \end{tabular} \bigskip \begin{tablenote} Each of these symbols provides a smaller, ``inline'' form (\cmd{\clefCInline}, \cmd{\clefFInline}, and \cmd{\clefGInline}, respectively) intended for use within a paragraph. \seedocs{\LILY}. \end{tablenote} \end{symtable} \begin{symtable}[LILY]{\LILY\ Time Signatures} \idxboth{musical}{symbols} \index{time signatures} \index{alla breve} \index{cut time} \label{lily-time} \begin{tabular}{ll@{\qquad}ll} \K\lilyTimeC & \K\lilyTimeCHalf \\ \end{tabular} \bigskip \begin{tablenote} \LILY\ also provides a \cmd{\lilyTimeSignature} command that lets a user typeset single and compound time signatures by specifying a numerator and a denominator. \seedocs{\LILY}. \end{tablenote} \end{symtable} \begin{symtable}[LILY]{\LILY\ Accidentals} \idxboth{musical}{symbols} \label{lily-accidentals} \renewcommand{\arraystretch}{1.5} % Try to even out the line spacing a bit. \begin{tabular}{*2{ll}} \K\doublesharp & \K\sharpArrowdown \\ \K[\LILYflat]\flat & \K\sharpArrowup \\ \K\flatflat & \K\sharpSlashslashslashStem \\ \K[\LILYnatural]\natural & \K\sharpSlashslashslashStemstem \\ \K[\LILYsharp]\sharp & \K\sharpSlashslashStem \\ \K\sharpArrowboth & \K\sharpSlashslashStemstemstem \\ \end{tabular} \end{symtable} \begin{symtable}[LILY]{\LILY\ Rests} \idxboth{musical}{symbols} \label{lily-rests} \begin{tabular}{*2{ll}} \K\crotchetRest & \K\quaverRestDotted \\ \K\crotchetRestDotted & \K\semiquaverRest \\ \K\halfNoteRest & \K\semiquaverRestDotted \\ \K\halfNoteRestDotted & \K\wholeNoteRest \\ \K\quaverRest & \K\wholeNoteRestDotted \\ \end{tabular} \bigskip \begin{tablenote} Multiply dotted rests can be produced with the \cmd{\lilyPrintMoreDots} command. \seedocs{\LILY}. \end{tablenote} \end{symtable} \begin{symtable}[LILY]{\LILY\ Dynamics Letters} \index{forte=forte (\LILYdyn{-1pt}{f})} \index{mezzo=mezzo (\LILYdyn{0pt}{m})} \index{piano=piano (\LILYdyn{-2pt}{p})} \index{rinforzando (\noexpand\lilyRF)} \idxboth{musical}{symbols} \label{lily-dyn-alpha} \begin{tabular}{ll@{\qquad}ll} \Tld{-2pt}{f} & \Tld{0pt}{r} \\ \Tld{-2pt}{p} & \Tld{0pt}{s} \\ \Tld{0pt}{m} & \Tld{0pt}{z} \\[3ex] \K\lilyRF & \K\lilyRFZ \\ \end{tabular} \bigskip \begin{tablenote} These letters and the digits~0--9 are the only alphanumerics defined by \LILY's underlying \PSfont{Emmentaler} fonts. \end{tablenote} \end{symtable} \begin{symtable}[LILY]{\LILY\ Dynamics Symbols} \idxboth{musical}{symbols} \label{lily-dyn-sym} \begin{tabular}{ll@{\qqquad}ll} \K\crescHairpin & \K\decrescHairpin \\ \end{tabular} \end{symtable} \begin{symtable}[LILY]{\LILY\ Articulations} \index{thumb pizzicato|see{\texttt{\string\lilyThumb}}} \idxboth{musical}{symbols} \label{lily-articulations} \begin{tabular}{*3{ll}} \K\lilyAccent & \K\marcato & \K\staccatissimo \\ \K\lilyEspressivo & \K\marcatoDown & \K\tenuto \\ \K\lilyStaccato & \K\portato & \\ \K\lilyThumb & \K\portatoDown & \\ \end{tabular} \end{symtable} \begin{symtable}[LILY]{\LILY\ Scripts} \idxboth{musical}{symbols} \label{lily-scripts} \begin{tabular}{ll} \K\fermata \end{tabular} \end{symtable} \begin{symtable}[LILY]{\LILY\ Accordion Notation} \index{accordion notation} \idxboth{musical}{symbols} \label{lily-accordion} \begin{tabular}{*3{ll}} \K\accordionBayanBass & \K\accordionOldEE & \K\accordionStdBass \\ \K\accordionDiscant & \K\accordionPull & \\ \K\accordionFreeBass & \K\accordionPush & \\ \end{tabular} \end{symtable} \begin{symtable}[LILY]{\LILY\ Named Time Signatures} \idxboth{musical}{symbols} \index{time signatures} \index{alla breve} \index{cut time} \label{lily-gen-timesig} \begin{tabular}{*2{ll}} \Tlg{timesig.C22} & \Tlg{timesig.mensural98} \\ \Tlg{timesig.C44} & \Tlg{timesig.neomensural22} \\ \Tlg{timesig.mensural22} & \Tlg{timesig.neomensural24} \\ \Tlg{timesig.mensural24} & \Tlg{timesig.neomensural32} \\ \Tlg{timesig.mensural32} & \Tlg{timesig.neomensural34} \\ \Tlg{timesig.mensural34} & \Tlg{timesig.neomensural44} \\ \Tlg{timesig.mensural44} & \Tlg{timesig.neomensural48} \\ \Tlg{timesig.mensural48} & \Tlg{timesig.neomensural64} \\ \Tlg{timesig.mensural64} & \Tlg{timesig.neomensural68} \\ \Tlg{timesig.mensural68} & \Tlg{timesig.neomensural68alt} \\ \Tlg{timesig.mensural68alt} & \Tlg{timesig.neomensural94} \\ \Tlg{timesig.mensural94} & \Tlg{timesig.neomensural98} \\ \end{tabular} \bigskip \begin{tablenote} \LILY\ defines shorter names for a few of these symbols. See \ref{lily-time}. \end{tablenote} \end{symtable} \begin{longsymtable}[LILY]{\LILY\ Named Scripts} \ltidxboth{musical}{symbols} \label{lily-gen-scripts} \begin{longtable}{*2{ll}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tlg{scripts.arpeggio} & \Tlg{scripts.prallmordent} \\ \Tlg{scripts.arpeggio.arrow.1} & \Tlg{scripts.prallprall} \\ \Tlg{scripts.arpeggio.arrow.M1} & \Tlg{scripts.prallup} \\ \Tlg{scripts.augmentum} & \Tlg{scripts.rcomma} \\ \Tlg{scripts.barline.kievan} & \Tlg{scripts.reverseturn} \\ \Tlg{scripts.caesura.curved} & \Tlg{scripts.rvarcomma} \\ \Tlg{scripts.caesura.straight} & \Tlg{scripts.segno} \\ \Tlg{scripts.circulus} & \Tlg{scripts.sforzato} \\ \Tlg{scripts.coda} & \Tlg{scripts.snappizzicato} \\ \Tlg{scripts.daccentus} & \Tlg{scripts.staccato} \\ \Tlg{scripts.dfermata} & \Tlg{scripts.stopped} \\ \Tlg{scripts.dlongfermata} & \Tlg{scripts.tenuto} \\ \Tlg{scripts.dmarcato} & \Tlg{scripts.thumb} \\ \Tlg{scripts.downbow} & \Tlg{scripts.tickmark} \\ \Tlg{scripts.downmordent} & \Tlg{scripts.trilelement} \\ \Tlg{scripts.downprall} & \Tlg{scripts.trill} \\ \Tlg{scripts.dpedalheel} & \Tlg{scripts.trill_element} \\ \Tlg{scripts.dpedaltoe} & \Tlg{scripts.turn} \\ \Tlg{scripts.dportato} & \Tlg{scripts.uaccentus} \\ \Tlg{scripts.dsemicirculus} & \Tlg{scripts.ufermata} \\ \Tlg{scripts.dshortfermata} & \Tlg{scripts.ulongfermata} \\ \Tlg{scripts.dsignumcongruentiae} & \Tlg{scripts.umarcato} \\ \Tlg{scripts.dstaccatissimo} & \Tlg{scripts.upbow} \\ \Tlg{scripts.dverylongfermata} & \Tlg{scripts.upedalheel} \\ \Tlg{scripts.espr} & \Tlg{scripts.upedaltoe} \\ \Tlg{scripts.flageolet} & \Tlg{scripts.upmordent} \\ \Tlg{scripts.halfopen} & \Tlg{scripts.uportato} \\ \Tlg{scripts.halfopenvertical} & \Tlg{scripts.upprall} \\ \Tlg{scripts.ictus} & \Tlg{scripts.usemicirculus} \\ \Tlg{scripts.lcomma} & \Tlg{scripts.ushortfermata} \\ \Tlg{scripts.lineprall} & \Tlg{scripts.usignumcongruentiae} \\ \Tlg{scripts.lvarcomma} & \Tlg{scripts.ustaccatissimo} \\ \Tlg{scripts.mordent} & \Tlg{scripts.uverylongfermata} \\ \Tlg{scripts.open} & \Tlg{scripts.varcoda} \\ \Tlg{scripts.prall} & \Tlg{scripts.varsegno} \\ \Tlg{scripts.pralldown} & \\ \end{longtable} \bigskip \begin{tablenote} \LILY\ defines \cmd{\fermata} as a shorter name for ``\fermata'' than \verb|\lilyGlyph{scripts.ufermata}|. See \ref{lily-scripts}. \end{tablenote} \end{longsymtable} \begin{symtable}[LILY]{\LILY\ Named Rests} \idxboth{musical}{symbols} \label{lily-gen-rests} \begin{tabular}{*2{ll}} \Tlg{rests.0} & \Tlg{rests.4mensural} \\ \Tlg{rests.0mensural} & \Tlg{rests.4neomensural} \\ \Tlg{rests.0neomensural} & \Tlg{rests.5} \\ \Tlg{rests.0o} & \Tlg{rests.6} \\ \Tlg{rests.1} & \Tlg{rests.7} \\ \Tlg{rests.1mensural} & \Tlg{rests.M1} \\ \Tlg{rests.1neomensural} & \Tlg{rests.M1mensural} \\ \Tlg{rests.1o} & \Tlg{rests.M1neomensural} \\ \Tlg{rests.2} & \Tlg{rests.M1o} \\ \Tlg{rests.2classical} & \Tlg{rests.M2} \\ \Tlg{rests.2mensural} & \Tlg{rests.M2mensural} \\ \Tlg{rests.2neomensural} & \Tlg{rests.M2neomensural} \\ \Tlg{rests.3} & \Tlg{rests.M3} \\ \Tlg{rests.3mensural} & \Tlg{rests.M3mensural} \\ \Tlg{rests.3neomensural} & \Tlg{rests.M3neomensural} \\ \Tlg{rests.4} & \\ \end{tabular} \bigskip \begin{tablenote} \LILY\ defines shorter names for a few of these symbols. See \ref{lily-rests}. \end{tablenote} \end{symtable} \begin{symtable}[LILY]{\LILY\ Named Pedals} \idxboth{musical}{symbols} \label{lily-gen-pedals} \begin{tabular}{ll@{\qquad}ll} \Tlg{pedal.*} & \Tlg{pedal.M} \\ \Tlg{pedal..} & \Tlg{pedal.P} \\ \Tlg{pedal.d} & \Tlg{pedal.Ped} \\ \Tlg{pedal.e} & \\ \end{tabular} \end{symtable} \begin{symtable}[LILY]{\LILY\ Named Flags} \idxboth{musical}{symbols} \label{lily-gen-flags} \begin{tabular}{*2{ll}} \Tlg{flags.d3} & \Tlg{flags.mensuralu03} \\ \Tlg{flags.d4} & \Tlg{flags.mensuralu04} \\ \Tlg{flags.d5} & \Tlg{flags.mensuralu05} \\ \Tlg{flags.d6} & \Tlg{flags.mensuralu06} \\ \Tlg{flags.d7} & \Tlg{flags.mensuralu13} \\ \Tlg{flags.dgrace} & \Tlg{flags.mensuralu14} \\ \Tlg{flags.mensurald03} & \Tlg{flags.mensuralu15} \\ \Tlg{flags.mensurald04} & \Tlg{flags.mensuralu16} \\ \Tlg{flags.mensurald05} & \Tlg{flags.mensuralu23} \\ \Tlg{flags.mensurald06} & \Tlg{flags.mensuralu24} \\ \Tlg{flags.mensurald13} & \Tlg{flags.mensuralu25} \\ \Tlg{flags.mensurald14} & \Tlg{flags.mensuralu26} \\ \Tlg{flags.mensurald15} & \Tlg{flags.u3} \\ \Tlg{flags.mensurald16} & \Tlg{flags.u4} \\ \Tlg{flags.mensurald23} & \Tlg{flags.u5} \\ \Tlg{flags.mensurald24} & \Tlg{flags.u6} \\ \Tlg{flags.mensurald25} & \Tlg{flags.u7} \\ \Tlg{flags.mensurald26} & \Tlg{flags.ugrace} \\ \end{tabular} \end{symtable} \begin{symtable}[LILY]{\LILY\ Named Custodes} \idxboth{musical}{symbols} \label{lily-gen-custodes} \begin{tabular}{ll@{\qquad}ll} \Tlg{custodes.hufnagel.d0} & \Tlg{custodes.mensural.d0} \\ \Tlg{custodes.hufnagel.d1} & \Tlg{custodes.mensural.d1} \\ \Tlg{custodes.hufnagel.d2} & \Tlg{custodes.mensural.d2} \\ \Tlg{custodes.hufnagel.u0} & \Tlg{custodes.mensural.u0} \\ \Tlg{custodes.hufnagel.u1} & \Tlg{custodes.mensural.u1} \\ \Tlg{custodes.hufnagel.u2} & \Tlg{custodes.mensural.u2} \\ \Tlg{custodes.medicaea.d0} & \Tlg{custodes.vaticana.d0} \\ \Tlg{custodes.medicaea.d1} & \Tlg{custodes.vaticana.d1} \\ \Tlg{custodes.medicaea.d2} & \Tlg{custodes.vaticana.d2} \\ \Tlg{custodes.medicaea.u0} & \Tlg{custodes.vaticana.u0} \\ \Tlg{custodes.medicaea.u1} & \Tlg{custodes.vaticana.u1} \\ \Tlg{custodes.medicaea.u2} & \Tlg{custodes.vaticana.u2} \\ \end{tabular} \end{symtable} \begin{longsymtable}[LILY]{\LILY\ Named Clefs} \ltindex{clefs} \ltidxboth{musical}{symbols} \label{lily-gen-clefs} \begin{longtable}{*2{ll}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tlg{clefs.blackmensural.c} & \Tlg{clefs.mensural.g_change} \\ \Tlg{clefs.blackmensural.c_change} & \Tlg{clefs.neomensural.c} \\ \Tlg{clefs.C} & \Tlg{clefs.neomensural.c_change} \\ \Tlg{clefs.C_change} & \Tlg{clefs.percussion} \\ \Tlg{clefs.F} & \Tlg{clefs.percussion_change} \\ \Tlg{clefs.F_change} & \Tlg{clefs.petrucci.c1} \\ \Tlg{clefs.G} & \Tlg{clefs.petrucci.c1_change} \\ \Tlg{clefs.G_change} & \Tlg{clefs.petrucci.c2} \\ \Tlg{clefs.hufnagel.do} & \Tlg{clefs.petrucci.c2_change} \\ \Tlg{clefs.hufnagel.do.fa} & \Tlg{clefs.petrucci.c3} \\ \Tlg{clefs.hufnagel.do.fa_change} & \Tlg{clefs.petrucci.c3_change} \\ \Tlg{clefs.hufnagel.do_change} & \Tlg{clefs.petrucci.c4} \\ \Tlg{clefs.hufnagel.fa} & \Tlg{clefs.petrucci.c4_change} \\ \Tlg{clefs.hufnagel.fa_change} & \Tlg{clefs.petrucci.c5} \\ \Tlg{clefs.kievan.do} & \Tlg{clefs.petrucci.c5_change} \\ \Tlg{clefs.kievan.do_change} & \Tlg{clefs.petrucci.f} \\ \Tlg{clefs.medicaea.do} & \Tlg{clefs.petrucci.f_change} \\ \Tlg{clefs.medicaea.do_change} & \Tlg{clefs.petrucci.g} \\ \Tlg{clefs.medicaea.fa} & \Tlg{clefs.petrucci.g_change} \\ \Tlg{clefs.medicaea.fa_change} & \Tlg{clefs.tab} \\ \Tlg{clefs.mensural.c} & \Tlg{clefs.tab_change} \\ \Tlg{clefs.mensural.c_change} & \Tlg{clefs.vaticana.do} \\ \Tlg{clefs.mensural.f} & \Tlg{clefs.vaticana.do_change} \\ \Tlg{clefs.mensural.f_change} & \Tlg{clefs.vaticana.fa} \\ \Tlg{clefs.mensural.g} & \Tlg{clefs.vaticana.fa_change} \\ \end{longtable} \bigskip \begin{tablenote} \LILY\ defines shorter names for a few of these symbols. See \ref{lily-clefs}. \end{tablenote} \end{longsymtable} \begin{longsymtable}[LILY]{\LILY\ Named Noteheads} \ltindex{crosses} \ltindex{rhombuses} \ltindex{ellipses (ovals)} \ltindex{ovals} \ltindex{squares} \ltindex{rectangles} \ltindex{polygons} \ltindex{triangles} \ltindex{geometric shapes} \ltidxboth{musical}{symbols} \label{lily-gen-noteheads} \begin{longtable}{ll} \multicolumn{2}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[3ex] \multicolumn{2}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tlg{noteheads.d0doFunk} \\ \Tlg{noteheads.d0fa} \\ \Tlg{noteheads.d0faFunk} \\ \Tlg{noteheads.d0faThin} \\ \Tlg{noteheads.d0miFunk} \\ \Tlg{noteheads.d0reFunk} \\ \Tlg{noteheads.d0tiFunk} \\ \Tlg{noteheads.d1do} \\ \Tlg{noteheads.d1doFunk} \\ \Tlg{noteheads.d1doThin} \\ \Tlg{noteheads.d1doWalker} \\ \Tlg{noteheads.d1fa} \\ \Tlg{noteheads.d1faFunk} \\ \Tlg{noteheads.d1faThin} \\ \Tlg{noteheads.d1faWalker} \\ \Tlg{noteheads.d1miFunk} \\ \Tlg{noteheads.d1re} \\ \Tlg{noteheads.d1reFunk} \\ \Tlg{noteheads.d1reThin} \\ \Tlg{noteheads.d1reWalker} \\ \Tlg{noteheads.d1ti} \\ \Tlg{noteheads.d1tiFunk} \\ \Tlg{noteheads.d1tiThin} \\ \Tlg{noteheads.d1tiWalker} \\ \Tlg{noteheads.d1triangle} \\ \Tlg{noteheads.d2do} \\ \Tlg{noteheads.d2doFunk} \\ \Tlg{noteheads.d2doThin} \\ \Tlg{noteheads.d2doWalker} \\ \Tlg{noteheads.d2fa} \\ \Tlg{noteheads.d2faFunk} \\ \Tlg{noteheads.d2faThin} \\ \Tlg{noteheads.d2faWalker} \\ \Tlg{noteheads.d2kievan} \\ \Tlg{noteheads.d2re} \\ \Tlg{noteheads.d2reFunk} \\ \Tlg{noteheads.d2reThin} \\ \Tlg{noteheads.d2reWalker} \\ \Tlg{noteheads.d2ti} \\ \Tlg{noteheads.d2tiFunk} \\ \Tlg{noteheads.d2tiThin} \\ \Tlg{noteheads.d2tiWalker} \\ \Tlg{noteheads.d2triangle} \\ \Tlg{noteheads.d3kievan} \\ \Tlg{noteheads.dM2} \\ \Tlg{noteheads.dM2blackmensural} \\ \Tlg{noteheads.dM2mensural} \\ \Tlg{noteheads.dM2neomensural} \\ \Tlg{noteheads.dM2semimensural} \\ \Tlg{noteheads.dM3blackmensural} \\ \Tlg{noteheads.dM3mensural} \\ \Tlg{noteheads.dM3neomensural} \\ \Tlg{noteheads.dM3semimensural} \\ \Tlg{noteheads.drM2mensural} \\ \Tlg{noteheads.drM2neomensural} \\ \Tlg{noteheads.drM2semimensural} \\ \Tlg{noteheads.drM3mensural} \\ \Tlg{noteheads.drM3neomensural} \\ \Tlg{noteheads.drM3semimensural} \\ \Tlg{noteheads.s0} \\ \Tlg{noteheads.s0blackmensural} \\ \Tlg{noteheads.s0blackpetrucci} \\ \Tlg{noteheads.s0cross} \\ \Tlg{noteheads.s0diamond} \\ \Tlg{noteheads.s0do} \\ \Tlg{noteheads.s0doThin} \\ \Tlg{noteheads.s0doWalker} \\ \Tlg{noteheads.s0faWalker} \\ \Tlg{noteheads.s0harmonic} \\ \Tlg{noteheads.s0kievan} \\ \Tlg{noteheads.s0la} \\ \Tlg{noteheads.s0laFunk} \\ \Tlg{noteheads.s0laThin} \\ \Tlg{noteheads.s0laWalker} \\ \Tlg{noteheads.s0mensural} \\ \Tlg{noteheads.s0mi} \\ \Tlg{noteheads.s0miMirror} \\ \Tlg{noteheads.s0miThin} \\ \Tlg{noteheads.s0miWalker} \\ \Tlg{noteheads.s0neomensural} \\ \Tlg{noteheads.s0petrucci} \\ \Tlg{noteheads.s0re} \\ \Tlg{noteheads.s0reThin} \\ \Tlg{noteheads.s0reWalker} \\ \Tlg{noteheads.s0slash} \\ \Tlg{noteheads.s0sol} \\ \Tlg{noteheads.s0solFunk} \\ \Tlg{noteheads.s0ti} \\ \Tlg{noteheads.s0tiThin} \\ \Tlg{noteheads.s0tiWalker} \\ \Tlg{noteheads.s0triangle} \\ \Tlg{noteheads.s1} \\ \Tlg{noteheads.s1blackpetrucci} \\ \Tlg{noteheads.s1cross} \\ \Tlg{noteheads.s1diamond} \\ \Tlg{noteheads.s1kievan} \\ \Tlg{noteheads.s1la} \\ \Tlg{noteheads.s1laFunk} \\ \Tlg{noteheads.s1laThin} \\ \Tlg{noteheads.s1laWalker} \\ \Tlg{noteheads.s1mensural} \\ \Tlg{noteheads.s1mi} \\ \Tlg{noteheads.s1miMirror} \\ \Tlg{noteheads.s1miThin} \\ \Tlg{noteheads.s1miWalker} \\ \Tlg{noteheads.s1neomensural} \\ \Tlg{noteheads.s1petrucci} \\ \Tlg{noteheads.s1slash} \\ \Tlg{noteheads.s1sol} \\ \Tlg{noteheads.s1solFunk} \\ \Tlg{noteheads.s2} \\ \Tlg{noteheads.s2blackpetrucci} \\ \Tlg{noteheads.s2cross} \\ \Tlg{noteheads.s2diamond} \\ \Tlg{noteheads.s2harmonic} \\ \Tlg{noteheads.s2la} \\ \Tlg{noteheads.s2laFunk} \\ \Tlg{noteheads.s2laThin} \\ \Tlg{noteheads.s2laWalker} \\ \Tlg{noteheads.s2mensural} \\ \Tlg{noteheads.s2mi} \\ \Tlg{noteheads.s2miFunk} \\ \Tlg{noteheads.s2miMirror} \\ \Tlg{noteheads.s2miThin} \\ \Tlg{noteheads.s2miWalker} \\ \Tlg{noteheads.s2neomensural} \\ \Tlg{noteheads.s2petrucci} \\ \Tlg{noteheads.s2slash} \\ \Tlg{noteheads.s2sol} \\ \Tlg{noteheads.s2solFunk} \\ \Tlg{noteheads.s2xcircle} \\ \Tlg{noteheads.shufnagel.lpes} \\ \Tlg{noteheads.shufnagel.punctum} \\ \Tlg{noteheads.shufnagel.virga} \\ \Tlg{noteheads.sM1} \\ \Tlg{noteheads.sM1blackmensural} \\ \Tlg{noteheads.sM1double} \\ \Tlg{noteheads.sM1kievan} \\ \Tlg{noteheads.sM1mensural} \\ \Tlg{noteheads.sM1neomensural} \\ \Tlg{noteheads.sM1semimensural} \\ \Tlg{noteheads.sM2blackligmensural} \\ \Tlg{noteheads.sM2kievan} \\ \Tlg{noteheads.sM2ligmensural} \\ \Tlg{noteheads.sM2semiligmensural} \\ \Tlg{noteheads.sM3blackligmensural} \\ \Tlg{noteheads.sM3ligmensural} \\ \Tlg{noteheads.sM3semiligmensural} \\ \Tlg{noteheads.smedicaea.inclinatum} \\ \Tlg{noteheads.smedicaea.punctum} \\ \Tlg{noteheads.smedicaea.rvirga} \\ \Tlg{noteheads.smedicaea.virga} \\ \Tlg{noteheads.sr1kievan} \\ \Tlg{noteheads.srM1mensural} \\ \Tlg{noteheads.srM1neomensural} \\ \Tlg{noteheads.srM1semimensural} \\ \Tlg{noteheads.srM2ligmensural} \\ \Tlg{noteheads.srM2semiligmensural} \\ \Tlg{noteheads.srM3ligmensural} \\ \Tlg{noteheads.srM3semiligmensural} \\ \Tlg{noteheads.ssolesmes.auct.asc} \\ \Tlg{noteheads.ssolesmes.auct.desc} \\ \Tlg{noteheads.ssolesmes.incl.auctum} \\ \Tlg{noteheads.ssolesmes.incl.parvum} \\ \Tlg{noteheads.ssolesmes.oriscus} \\ \Tlg{noteheads.ssolesmes.stropha} \\ \Tlg{noteheads.ssolesmes.stropha.aucta} \\ \Tlg{noteheads.svaticana.cephalicus} \\ \Tlg{noteheads.svaticana.epiphonus} \\ \Tlg{noteheads.svaticana.inclinatum} \\ \Tlg{noteheads.svaticana.inner.cephalicus} \\ \Tlg{noteheads.svaticana.linea.punctum} \\ \Tlg{noteheads.svaticana.linea.punctum.cavum} \\ \Tlg{noteheads.svaticana.lpes} \\ \Tlg{noteheads.svaticana.plica} \\ \Tlg{noteheads.svaticana.punctum} \\ \Tlg{noteheads.svaticana.punctum.cavum} \\ \Tlg{noteheads.svaticana.quilisma} \\ \Tlg{noteheads.svaticana.reverse.plica} \\ \Tlg{noteheads.svaticana.reverse.vplica} \\ \Tlg{noteheads.svaticana.upes} \\ \Tlg{noteheads.svaticana.vepiphonus} \\ \Tlg{noteheads.svaticana.vlpes} \\ \Tlg{noteheads.svaticana.vplica} \\ \Tlg{noteheads.svaticana.vupes} \\ \Tlg{noteheads.u0doFunk} \\ \Tlg{noteheads.u0fa} \\ \Tlg{noteheads.u0faFunk} \\ \Tlg{noteheads.u0faThin} \\ \Tlg{noteheads.u0miFunk} \\ \Tlg{noteheads.u0reFunk} \\ \Tlg{noteheads.u0tiFunk} \\ \Tlg{noteheads.u1do} \\ \Tlg{noteheads.u1doFunk} \\ \Tlg{noteheads.u1doThin} \\ \Tlg{noteheads.u1doWalker} \\ \Tlg{noteheads.u1fa} \\ \Tlg{noteheads.u1faFunk} \\ \Tlg{noteheads.u1faThin} \\ \Tlg{noteheads.u1faWalker} \\ \Tlg{noteheads.u1miFunk} \\ \Tlg{noteheads.u1re} \\ \Tlg{noteheads.u1reFunk} \\ \Tlg{noteheads.u1reThin} \\ \Tlg{noteheads.u1reWalker} \\ \Tlg{noteheads.u1ti} \\ \Tlg{noteheads.u1tiFunk} \\ \Tlg{noteheads.u1tiThin} \\ \Tlg{noteheads.u1tiWalker} \\ \Tlg{noteheads.u1triangle} \\ \Tlg{noteheads.u2do} \\ \Tlg{noteheads.u2doFunk} \\ \Tlg{noteheads.u2doThin} \\ \Tlg{noteheads.u2doWalker} \\ \Tlg{noteheads.u2fa} \\ \Tlg{noteheads.u2faFunk} \\ \Tlg{noteheads.u2faThin} \\ \Tlg{noteheads.u2faWalker} \\ \Tlg{noteheads.u2kievan} \\ \Tlg{noteheads.u2re} \\ \Tlg{noteheads.u2reFunk} \\ \Tlg{noteheads.u2reThin} \\ \Tlg{noteheads.u2reWalker} \\ \Tlg{noteheads.u2ti} \\ \Tlg{noteheads.u2tiFunk} \\ \Tlg{noteheads.u2tiThin} \\ \Tlg{noteheads.u2tiWalker} \\ \Tlg{noteheads.u2triangle} \\ \Tlg{noteheads.u3kievan} \\ \Tlg{noteheads.uM2} \\ \Tlg{noteheads.uM2blackmensural} \\ \Tlg{noteheads.uM2mensural} \\ \Tlg{noteheads.uM2neomensural} \\ \Tlg{noteheads.uM2semimensural} \\ \Tlg{noteheads.uM3blackmensural} \\ \Tlg{noteheads.uM3mensural} \\ \Tlg{noteheads.uM3neomensural} \\ \Tlg{noteheads.uM3semimensural} \\ \Tlg{noteheads.urM2mensural} \\ \Tlg{noteheads.urM2neomensural} \\ \Tlg{noteheads.urM2semimensural} \\ \Tlg{noteheads.urM3mensural} \\ \Tlg{noteheads.urM3neomensural} \\ \Tlg{noteheads.urM3semimensural} \\ \end{longtable} \end{longsymtable} \begin{symtable}[LILY]{\LILY\ Named Accordion Symbols} \idxboth{musical}{symbols} \label{lily-gen-accordion} \begin{tabular}{*2{ll}} \Tlg{accordion.bayanbass} & \Tlg{accordion.oldEE} \\ \Tlg{accordion.discant} & \Tlg{accordion.pull} \\ \Tlg{accordion.dot} & \Tlg{accordion.push} \\ \Tlg{accordion.freebass} & \Tlg{accordion.stdbass} \\ \end{tabular} \bigskip \begin{tablenote} \LILY\ defines shorter names for all of these symbols except \verb|\lilyGlyph{accordion.dot}|. See \ref{lily-accordion}. \end{tablenote} \end{symtable} \begin{longsymtable}[LILY]{\LILY\ Named Accidentals} \ltidxboth{musical}{symbols} \label{lily-gen-accidentals} \begin{longtable}{ll} \multicolumn{2}{l}{\small\textit{(continued from previous page)}} \\[1ex] \endhead \endfirsthead \\[3ex] \multicolumn{2}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tlg{accidentals.doublesharp} \\ \Tlg{accidentals.flat} \\ \Tlg{accidentals.flat.arrowboth} \\ \Tlg{accidentals.flat.arrowdown} \\ \Tlg{accidentals.flat.arrowup} \\ \Tlg{accidentals.flat.slash} \\ \Tlg{accidentals.flat.slashslash} \\ \Tlg{accidentals.flatflat} \\ \Tlg{accidentals.flatflat.slash} \\ \Tlg{accidentals.hufnagelM1} \\ \Tlg{accidentals.kievan1} \\ \Tlg{accidentals.kievanM1} \\ \Tlg{accidentals.leftparen} \\ \Tlg{accidentals.medicaeaM1} \\ \Tlg{accidentals.mensural1} \\ \Tlg{accidentals.mensuralM1} \\ \Tlg{accidentals.mirroredflat} \\ \Tlg{accidentals.mirroredflat.backslash} \\ \Tlg{accidentals.mirroredflat.flat} \\ \Tlg{accidentals.natural} \\ \Tlg{accidentals.natural.arrowboth} \\ \Tlg{accidentals.natural.arrowdown} \\ \Tlg{accidentals.natural.arrowup} \\ \Tlg{accidentals.rightparen} \\ \Tlg{accidentals.sharp} \\ \Tlg{accidentals.sharp.arrowboth} \\ \Tlg{accidentals.sharp.arrowdown} \\ \Tlg{accidentals.sharp.arrowup} \\ \Tlg{accidentals.sharp.slashslash.stem} \\ \Tlg{accidentals.sharp.slashslash.stemstemstem} \\ \Tlg{accidentals.sharp.slashslashslash.stem} \\ \Tlg{accidentals.sharp.slashslashslash.stemstem} \\ \Tlg{accidentals.vaticana0} \\ \Tlg{accidentals.vaticanaM1} \\ \end{longtable} \begin{tablenote} \LILY\ defines shorter names for a few of these symbols. See \ref{lily-accidentals}. \end{tablenote} \end{longsymtable} \begin{symtable}[LILY]{\LILY\ Named Arrowheads} \idxboth{musical}{symbols} \label{lily-gen-arrowheads} \begin{tabular}{*2{ll}} \Tlg{arrowheads.close.01} & \Tlg{arrowheads.open.01} \\ \Tlg{arrowheads.close.0M1} & \Tlg{arrowheads.open.0M1} \\ \Tlg{arrowheads.close.11} & \Tlg{arrowheads.open.11} \\ \Tlg{arrowheads.close.1M1} & \Tlg{arrowheads.open.1M1} \\ \end{tabular} \end{symtable} \begin{symtable}[LILY]{\LILY\ Named Alphanumerics and Punctuation} \index{numerals} \index{forte=forte (\LILYdyn{-1pt}{f})} \index{mezzo=mezzo (\LILYdyn{0pt}{m})} \index{piano=piano (\LILYdyn{-2pt}{p})} \idxboth{musical}{symbols} \label{lily-gen-alphanum} \begin{tabular}{*3{ll}} \Tlg{zero} & \Tlg{four} & \Tlg{eight} \\ \Tlg{one} & \Tlg{five} & \Tlg{nine} \\ \Tlg{two} & \Tlg{six} & \\ \Tlg{three} & \Tlg{seven} & \\[3ex] \Tlg{f} & \Tlg{p} & \Tlg{s} \\ \Tlg{m} & \Tlg{r} & \Tlg{z} \\[3ex] \Tlg{comma} & \Tlg{period} \\ \Tlg{hyphen} & \Tlg{plus} \\ \end{tabular} \bigskip \begin{tablenote} See \ref{lily-dyn-alpha} for an alternative way to typeset dynamics letters. \LILY\ additionally provides a \cmd{\lilyText} command that can be useful for typesetting groups of the preceding symbols. \seedocs{\LILY}. \end{tablenote} \end{symtable} \begin{symtable}[LILY]{Miscellaneous \LILY\ Named Musical Symbols} \idxboth{musical}{symbols} \label{lily-gen-misc} \begin{tabular}{*2{ll}} \Tlg{brackettips.down} & \Tlg{dots.dotvaticana} \\ \Tlg{brackettips.up} & \Tlg{ties.lyric.default} \\ \Tlg{dots.dot} & \Tlg{ties.lyric.short} \\ \Tlg{dots.dotkievan} & \\ \end{tabular} \end{symtable} \idxbothend{musical}{symbols} \section{Other symbols} \idxbothbegin{miscellaneous}{symbols} \tablesubsections The following are all the symbols that didn't fit neatly or unambiguously into any of the previous sections. \ifcomplete (Do weather symbols belong under ``Science and technology''? Should dice be considered ``mathematics''?) While some of the tables contain clearly related groups of symbols (e.g.,~symbols related to various board games), others represent motley assortments of whatever the font designer felt like drawing. \fi \bigskip \begin{symtable}{\TC\ Genealogical Symbols} \idxboth{genealogical}{symbols} \label{genealogical} \begin{tabular}{*3{ll}} \K\textborn & \K\textdivorced & \K\textmarried \\ \K\textdied & \K\textleaf \\ \end{tabular} \end{symtable} \begin{symtable}[WASY]{\WASY\ General Symbols} \index{symbols>general} \index{smiley faces} \index{frowny faces} \index{faces} \idxboth{clock}{symbols} \index{check marks} \index{rhombuses} \index{sun} \label{wasy-general} \begin{tabular}{*4{ll}} \K\ataribox & \K\diameter & \K\lightning & \K\sun \\ \K\bell & \K\DOWNarrow & \K\phone & \K\UParrow \\ \K\blacksmiley & \K\frownie & \K\pointer & \K\wasycmd$^*$ \\ \K\Bowtie & \K\invdiameter & \K\recorder & \K\wasylozenge \\ \K\brokenvert & \K\kreuz & \K\RIGHTarrow & \\ \K\checked & \K\LEFTarrow & \K\rightturn & \\ \K[\WASYclock]\clock & \K\leftturn & \K\smiley & \\ \end{tabular} \bigskip \begin{tablenote}[*] \WASY\ defines \cmdI{\applecmd} as a synonym for \cmdI[\protect\wasycmd]{\wasycmd}. \end{tablenote} \end{symtable} \begin{symtable}[MAN]{\MAN\ Dangerous Bend Symbols} \idxboth{dangerous bend}{symbols} \index{symbols>Knuth's} \index{Knuth, Donald E.>symbols by} \idxTBsyms \label{dangerous-bend} \begin{tabular}{*3{ll}} \K\dbend & \K\lhdbend & \K\reversedvideodbend \\ \end{tabular} \bigskip \begin{tablenote} Note that these symbols descend far beneath the baseline. \MAN\ also defines non-descending versions, which it calls, correspondingly, \cmdI[\string\textdbend]{\textdbend}, \cmdI[\string\textlhdbend]{\textlhdbend}, and \cmdI[\string\textreversedvideodbend]{\textreversedvideodbend}. \end{tablenote} \end{symtable} \begin{symtable}[MAN]{Miscellaneous \MAN\ Symbols} \index{symbols>Knuth's} \index{Knuth, Donald E.>symbols by} \index{symbols>Metafontbook=\MF{}book}\index{Metafontbook symbols=\MF{}book symbols} \idxTBsyms \label{knuth} \begin{tabular}{*2{ll}} \K\manboldkidney & \K\manpenkidney \\ \K\manconcentriccircles & \K\manquadrifolium \\ \K\manconcentricdiamond & \K\manquartercircle \\ \K\mancone & \K\manrotatedquadrifolium \\ \K\mancube & \K\manrotatedquartercircle \\ \K\manerrarrow & \K\manstar \\ \K\manfilledquartercircle & \K\mantiltpennib \\ \K\manhpennib & \K\mantriangledown \\ \K\manimpossiblecube & \K\mantriangleright \\ \K\mankidney & \K\mantriangleup \\ \K\manlhpenkidney & \K\manvpennib \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Media Control Symbols} \idxboth{media control}{symbols} \label{marv-navigation} \begin{tabular}{*3{ll}ll} \K\Forward & \K\MoveDown & \K\RewindToIndex & \K\ToTop \\ \K\ForwardToEnd & \K\MoveUp & \K\RewindToStart \\ \K\ForwardToIndex & \K\Rewind & \K\ToBottom \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Laundry Symbols} \idxboth{laundry}{symbols} \label{marv-laundry} \begin{tabular}{*3{ll}} \K\AtForty & \K\Handwash & \K\ShortNinetyFive \\ \K\AtNinetyFive & \K\IroningI & \K\ShortSixty \\ \K\AtSixty & \K\IroningII & \K\ShortThirty \\ \K\Bleech & \K\IroningIII & \K\SpecialForty \\ \K\CleaningA & \K\NoBleech & \K\Tumbler \\ \K\CleaningF & \K\NoChemicalCleaning & \K\WashCotton \\ \K\CleaningFF & \K\NoIroning & \K\WashSynthetics \\ \K\CleaningP & \K\NoTumbler & \K\WashWool \\ \K\CleaningPP & \K\ShortFifty \\ \K\Dontwash & \K\ShortForty \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Information Symbols} \idxboth{information}{symbols} \index{check marks} \index{Xs} \idxboth{clock}{symbols} \label{marv-info} \begin{tabular}{*3{ll}ll} \K\Bicycle & \K\Gentsroom & \K\PointingHand \\ \K\ClockLogo & \K\Industry & \K\Wheelchair \\ \K\Coffeecup & \K\Info & \K\WritingHand \\ \K\Football & \K\Ladiesroom & \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{Other \MARV\ Symbols} \idxboth{miscellaneous}{symbols} \idxboth{yin-yang}{symbols} \index{crosses} \index{crucifixes} \index{smiley faces} \index{frowny faces} \index{faces} \index{man} \index{woman} \index{globe} \index{world} \label{marv-other} \begin{tabular}{*4{ll}} \K\Ankh & \K\Bouquet & \K\Heart & \K\PeaceDove \\ \K\Bat & \K\Celtcross & \K\ManFace & \K\Smiley \\ \K\BOLogo & \K\CircledA & \K\MineSign & \K\WomanFace \\ \K\BOLogoL & \K\Cross & \K\Mundus & \K\Yinyang \\ \K\BOLogoP & \K\Frowny & \K\MVAt & \\ \end{tabular} \end{symtable} \begin{symtable}[UNI]{Miscellaneous \UNI\ Symbols} \index{faces} \index{arrows} \label{uni-misc} \begin{tabular}{*2{ll}} \K\bauforms & \K\bauhead \\ \end{tabular} \end{symtable} \begin{symtable}[FOUR]{Miscellaneous \FOUR\ Symbols} \index{swords} \index{frowny faces} \index{faces} \label{fourier-misc} \begin{tabular}{*4{ll}} \K\bomb & \K\noway & \K\textxswdown$^*$ & \K\warning \\ \K\grimace & \K\textthing$^*$ & \K\textxswup$^*$ & \\ \end{tabular} \bigskip \begin{tablenote}[*] \FOUR\ defines math-mode synonyms for a few of the preceding symbols: \cmdI[\textthing]{\thething}~(``\textthing''), \cmdI[\textxswup]{\xswordsup}~(``\textxswup''), and \cmdI[\textxswdown]{\xswordsdown}~(``\textxswdown''). \end{tablenote} \end{symtable} \begin{symtable}[IFS]{\IFS\ Weather Symbols} \idxboth{weather}{symbols} \index{sun} \label{weather} \begin{tabular}{*4{ll}} \K\Cloud & \K\Hail & \K\Sleet & \K\WeakRain \\ \K\FilledCloud & \K\HalfSun & \K\Snow & \K\WeakRainCloud \\ \K\FilledRainCloud & \K[\ifsLightning]\Lightning & \K\SnowCloud & \K\FilledSnowCloud \\ \K\FilledSunCloud & \K\NoSun & \K[\ifsSun]\Sun & \\ \K\FilledWeakRainCloud & \K\Rain & \K\SunCloud & \\ \K\Fog & \K\RainCloud & \K\ThinFog & \\ \end{tabular} \bigskip \begin{tablenote} \begin{morespacing}{\jot} In addition, \verb|\Thermo{0}|$\ldots$\verb|\Thermo{6}|\indexcommand{\Thermo} produce thermometers that are between 0/6 and 6/6~full of mercury:\quad \mbox{\Thermo{0}~~\Thermo{1}~~\Thermo{2}~~\Thermo{3}~~% \Thermo{4}~~\Thermo{5}~~\Thermo{6}} \end{morespacing} \begin{morespacing}{1pt} Similarly, \cmd{\wind}\verb|{|\meta{sun}\verb|}{|\meta{angle}\verb|}{|\meta{strength}\verb|}| will draw wind symbols with a given amount of sun~(0--4), a given angle (in degrees), and a given strength in km/h~(0--100). For example, \verb|\wind{0}{0}{0}| produces ``\,\wind{0}{0}{0}\unskip'', \verb|\wind{2}{0}{0}| produces ``\,\wind{2}{0}{0}\unskip'', and \verb|\wind{4}{0}{100}| produces ``\,\wind{4}{0}{100}\unskip''. \end{morespacing} \end{tablenote} \end{symtable} \begin{symtable}[IFS]{\IFS\ Alpine Symbols} \idxboth{alpine}{symbols} \index{flags} \label{alpine} \begin{tabular}{*4{ll}} \K\SummitSign & \K\Summit & \K\SurveySign & \K\HalfFilledHut \\ \K\StoneMan & \K\Mountain & \K\Joch & \K\VarSummit \\ \K\Hut & \K\IceMountain & \K\Flag & \\ \K\FilledHut & \K\VarMountain & \K\VarFlag & \\ \K\Village & \K\VarIceMountain & \K\Tent & \\ \end{tabular} \end{symtable} \begin{symtable}[IFS]{\IFS\ Clocks} \idxboth{clock}{symbols} \index{time of day} \begin{tabular}{*4{ll}} \K\Interval & \K\StopWatchStart & \K\VarClock & \K\Wecker \\ \K\StopWatchEnd & \K\Taschenuhr & \K\VarTaschenuhr \\ \end{tabular} \bigskip \begin{tablenote} \IFS\ also exports a \cmd{\showclock} macro. \verb|\showclock{|\meta{hours}\verb|}{|\meta{minutes}\verb|}| outputs a clock displaying the corresponding time. For instance, ``\verb|\showclock{5}{40}|'' produces ``\showclock{5}{40}''. \meta{hours} must be an integer from 0 to~11, and \meta{minutes} must be an integer multiple of~5 from 0 to~55. \end{tablenote} \end{symtable} \begin{symtable}[IFS]{Other \IFS\ Symbols} \idxboth{miscellaneous}{symbols} \index{tally markers} \index{rhombuses} \index{dice} \idxboth{game-related}{symbols} \label{ifs-misc} \begin{tabular}{*3{ll}} \K\FilledSectioningDiamond & \K[\ifsLetter]\Letter & \K\Radiation \\ \K\Fire & \K\PaperLandscape & \K\SectioningDiamond \\ \K\Irritant & \K\PaperPortrait & \K\Telephone \\[2ex] \KED[\allCubes][\Cube][\Cube{1}]\Cube\verb|{1}| & \KED[\allCubes][\Cube][\Cube{3}]\Cube\verb|{3}| & \KED[\allCubes][\Cube][\Cube{5}]\Cube\verb|{5}| \\ \KED[\allCubes][\Cube][\Cube{2}]\Cube\verb|{2}| & \KED[\allCubes][\Cube][\Cube{4}]\Cube\verb|{4}| & \KED[\allCubes][\Cube][\Cube{6}]\Cube\verb|{6}| \\[2ex] \K\StrokeOne & \K\StrokeThree & \K\StrokeFive \\ \K\StrokeTwo & \K\StrokeFour \\ \end{tabular} \end{symtable} \begin{symtable}[CLOCK]{\CLOCK\ Clocks} \idxboth{clock}{symbols} \index{time of day} \label{clock} \newcommand{\showCLOCK}[2]{% \ClockStyle=#1 \ifx#2t \ClockFrametrue \else \ClockFramefalse \fi \clock{15}{41}% } \begin{tabular}{@{}ccc@{}} \toprule \cmd{\ClockStyle} & \cmd{\ClockFramefalse} & \cmd{\ClockFrametrue} \\ \midrule 0 & \showCLOCK{0}{f} & \showCLOCK{0}{t} \\ 1 & \showCLOCK{1}{f} & \showCLOCK{1}{t} \\ 2 & \showCLOCK{2}{f} & \showCLOCK{2}{t} \\ 3 & \showCLOCK{3}{f} & \showCLOCK{3}{t} \\ \bottomrule \end{tabular} \bigskip \begin{tablenote} The \CLOCK\ package provides a \cmdI[\string\clock{15}{41}]{\clock} command to typeset an arbitrary time on an analog clock (and \cmd{\clocktime} to typeset the document's build time). For example, the clocks in the above table were produced with \verb|\clock{15}{41}|. Clock symbols are composed from a font of clock-face fragments using one of four values for \cmd{\ClockStyle} and either \cmd{\ClockFrametrue} or \cmd{\ClockFrametrue} as illustrated above. \seedocs{\CLOCK}. \end{tablenote} \end{symtable} \begin{symtable}[EDICE]{\EDICE\ Dice} \index{dice} \idxboth{game-related}{symbols} \label{edice} \begin{tabular}{ll@{\qquad}ll@{\qquad}ll} \KED[\allepsdice][\epsdice][\epsdice{1}]\epsdice\verb|{1}| & \KED[\allepsdice][\epsdice][\epsdice{3}]\epsdice\verb|{3}| & \KED[\allepsdice][\epsdice][\epsdice{5}]\epsdice\verb|{5}| \\ \KED[\allepsdice][\epsdice][\epsdice{2}]\epsdice\verb|{2}| & \KED[\allepsdice][\epsdice][\epsdice{4}]\epsdice\verb|{4}| & \KED[\allepsdice][\epsdice][\epsdice{6}]\epsdice\verb|{6}| \\ \end{tabular} \end{symtable} \begin{symtable}[HHCNT]{\HHCNT\ Dice} \index{dice} \idxboth{game-related}{symbols} \label{hhdice} \begin{tabular}{ll@{\qquad}ll@{\qquad}ll} \KED[\allfcdice][\fcdice][\fcdice{1}]\fcdice\verb|{1}| & \KED[\allfcdice][\fcdice][\fcdice{3}]\fcdice\verb|{3}| & \KED[\allfcdice][\fcdice][\fcdice{5}]\fcdice\verb|{5}| \\ \KED[\allfcdice][\fcdice][\fcdice{2}]\fcdice\verb|{2}| & \KED[\allfcdice][\fcdice][\fcdice{4}]\fcdice\verb|{4}| & \KED[\allfcdice][\fcdice][\fcdice{6}]\fcdice\verb|{6}| \\ \end{tabular} \bigskip \begin{tablenote} The \verb|\fcdice| command accepts values larger than~6. For example, ``\verb|\fcdice{47}|'' produces ``\fcdice{47}''. \end{tablenote} \end{symtable} \begin{symtable}[STIX]{\STIX\ Dice} \index{dice} \idxboth{game-related}{symbols} \label{stix-dice} \begin{tabular}{ll@{\qquad}ll@{\qquad}ll} \K[\STIXdicei]\dicei & \K[\STIXdiceiii]\diceiii & \K[\STIXdicev]\dicev \\ \K[\STIXdiceii]\diceii & \K[\STIXdiceiv]\diceiv & \K[\STIXdicevi]\dicevi \\ \end{tabular} \end{symtable} \begin{symtable}[BULL]{\BULL\ Tally Markers} \index{tally markers} \label{bullcntr} \renewcommand{\arraystretch}{2} % Prevent tall symbols from touching. \begin{tabular}{ll@{\qquad}ll@{\qquad}ll} \Kbull{1} & \Kbull{4} & \Kbull{7} \\ \Kbull{2} & \Kbull{5} & \Kbull{8} \\ \Kbull{3} & \Kbull{6} & \Kbull{9} \\ \end{tabular} \bigskip \begin{tablenote} The notation for \verb|\bullcntr| used in the above bears explanation. \verb|\bullcntr| does not take a number as its argument but rather a \latex\ counter, whose value it uses to typeset a tally marker. ``\verb|\bullcntr{|\meta{3}\verb|}|'', for example, means to invoke \verb|\bullcntr| with a counter whose value is~3. (\verb|\bullcntr| usage is therefore akin to that of \latex's \cmd{\fnsymbol}.) The intention is to use \verb|\bullcntr| indirectly via the \pkgname{bullenum} package's \cmd{bullenum} environment, which is a variation on the \cmd{enumerate} environment that uses \verb|\bullcntr| to typeset the labels. To typeset individual tally markers, one can define a helper command: \begin{verbatim} \newcounter{bull} \newcommand{\showbullcntr}[1]{% \setcounter{bull}{#1}% \bullcntr{bull}% } \end{verbatim} \BULL's package options \optname{bullcntr}{smallctrbull}, \optname{bullcntr}{largectrbull}, and \optname{bullcntr}{heartctrbull} and corresponding commands \cmd{\smallctrbull}, \cmd{\largectrbull}, and \cmd{\heartctrbull} control the formatting of each tally marker: \qquad \begin{tabular}{@{}lccc@{}} & \texttt{small} & \texttt{large} & \texttt{heart} \\ \verb|\bullcntr{|\meta{5}\verb|}| & \smallctrbull\showbullcntr{5} & \largectrbull\showbullcntr{5} & \heartctrbull\showbullcntr{5} \\ \end{tabular} The default is \optname{bullcntr}{smartctrbull} (\cmd{\smartctrbull}), which maps counter values~1--5 to large pips and 6--9 to small pips. It is also possible to use arbitrary symbols for \verb|\bullcntr|'s pips. \seedocs{\BULL}. \end{tablenote} \end{symtable} \begin{symtable}[HHCNT]{\HHCNT\ Tally Markers} \index{tally markers} \label{hhtally} \begin{tabular}{ll@{\qquad}ll@{\qquad}ll} \KED[\allfcscores][\fcscore][\fcscore{1}]\fcscore\verb|{1}| & \KED[\allfcscores][\fcscore][\fcscore{3}]\fcscore\verb|{3}| & \KED[\allfcscores][\fcscore][\fcscore{5}]\fcscore\verb|{5}| \\ \KED[\allfcscores][\fcscore][\fcscore{2}]\fcscore\verb|{2}| & \KED[\allfcscores][\fcscore][\fcscore{4}]\fcscore\verb|{4}| \\ \end{tabular} \bigskip \begin{tablenote} The \verb|\fcscore| command accepts values larger than~5. For example, ``\verb|\fcscore{47}|'' produces ``\fcscore{47}''. \end{tablenote} \end{symtable} \begin{symtable}[DOZ]{\DOZ\ Tally Markers} \index{dozenal (base 12)>tally markers} \index{base twelve>tally markers} \index{duodecimal (base 12)>tally markers} \idxboth{Pitman's base 12}{symbols} \index{tally markers} \label{dozenal-tally} \begin{tabular}{ll@{\qquad}ll@{\qquad}ll} \KED[\alldoztallies][\tally][\doz{1}]\tally\verb|{1}| & \KED[\alldoztallies][\tally][\doz{3}]\tally\verb|{3}| & \KED[\alldoztallies][\tally][\doz{5}]\tally\verb|{5}| \\ \KED[\alldoztallies][\tally][\doz{2}]\tally\verb|{2}| & \KED[\alldoztallies][\tally][\doz{4}]\tally\verb|{4}| & \KED[\alldoztallies][\tally][\doz{6}]\tally\verb|{6}| \\ \end{tabular} \end{symtable} \begin{symtable}[SKULL]{\SKULL\ Symbols} \index{skulls} \label{skull} \begin{tabular}{ll} \K[\SKULLskull]\skull \end{tabular} \end{symtable} \begin{symtable}[ABX]{Non-Mathematical \ABX\ Symbols} \label{abx-nonmath} \begin{tabular}{ll} \X[\ABXrip]\rip \end{tabular} \end{symtable} \begin{symtable}[SKAK]{\SKAK\ Chess Informator Symbols} \idxboth{game-related}{symbols} \idxboth{chess}{symbols} \idxboth{informator}{symbols} \begin{tabular}{*3{ll}} \K\bbetter & \K\doublepawns & \K\seppawns \\ \K\bdecisive & \K\ending & \K\shortcastling \\ \K\betteris & \K\equal & \K\timelimit \\ \K\bishoppair & \K\file & \K\unclear \\ \K\bupperhand & \K\kside & \K\unitedpawns \\ \K\capturesymbol & \K\longcastling & \K\various \\ \K\castlingchar & \K\markera & \K\wbetter \\ \K\castlinghyphen & \K\markerb & \K\wdecisive \\ \K\centre & \K\mate & \K\weakpt \\ \K\checksymbol & \K\morepawns & \K\with \\ \K\chesscomment & \K\moreroom & \K\withattack \\ \K[\SKAKetc]\chessetc & \K\novelty & \K\withidea \\ \K\chesssee & \K\onlymove & \K\withinit \\ \K\compensation & \K\opposbishops & \K\without \\ \K\counterplay & \K\passedpawn & \K\wupperhand \\ \K\devadvantage & \K\qside & \K\zugzwang \\ \K\diagonal & \K\samebishops & \\ \end{tabular} \end{symtable} \begin{symtable}[SKAK]{\SKAK\ Chess Pieces and Chessboard Squares} \index{bishop} \index{castle} \index{king} \index{knight} \index{pawn} \index{queen} \index{rook} \idxboth{chess}{symbols} \idxboth{game-related}{symbols} \begin{tabular}{*3{ll}} \K\BlackBishopOnBlack & \K\BlackRookOnBlack & \K\WhiteKingOnBlack \\ \K\BlackBishopOnWhite & \K\BlackRookOnWhite & \K\WhiteKingOnWhite \\ \K\BlackEmptySquare & \K\symbishop & \K\WhiteKnightOnBlack \\ \K\BlackKingOnBlack & \K\symking & \K\WhiteKnightOnWhite \\ \K\BlackKingOnWhite & \K\symknight & \K\WhitePawnOnBlack \\ \K\BlackKnightOnBlack & \K\sympawn & \K\WhitePawnOnWhite \\ \K\BlackKnightOnWhite & \K\symqueen & \K\WhiteQueenOnBlack \\ \K\BlackPawnOnBlack & \K\symrook & \K\WhiteQueenOnWhite \\ \K\BlackPawnOnWhite & \K\WhiteBishopOnBlack & \K\WhiteRookOnBlack \\ \K\BlackQueenOnBlack & \K\WhiteBishopOnWhite & \K\WhiteRookOnWhite \\ \K\BlackQueenOnWhite & \K\WhiteEmptySquare & \\ \end{tabular} \bigskip \begin{tablenote} The \SKAK\ package also provides commands for drawing complete chessboards. \seedocs{\SKAK}. \end{tablenote} \end{symtable} \begin{symtable}[IGO]{\IGO\ Go Symbols} \index{symbols>Go stones} \index{Go stones} \index{circles} \index{squares} \index{triangles} \index{crosses} \index{geometric shapes} \idxboth{game-related}{symbols} \idxboth{circled}{numerals} \label{igo} \begin{tabular}{ll@{\qquad}ll} \IGOb\igocircle & \IGOw\igocircle \\ \IGOb\igocross & \IGOw\igocross \\ \IGOb\igonone & \IGOw\igonone \\ \IGOb\igosquare & \IGOw\igosquare \\ \IGOb\igotriangle & \IGOw\igotriangle \\ \end{tabular} \bigskip \begin{tablenote} In addition to the symbols shown above, \IGO's \cmd{\blackstone} and \cmd{\whitestone} commands accept numbers from~1 to~99 and display them circled as \blackstone[1], \blackstone[2], \blackstone[3],~\dots, \blackstone[99] and \whitestone[1], \whitestone[2], \whitestone[3],~\dots, \whitestone[99], respectively. The \IGO\ package is intended to typeset complete Go\index{Go boards} boards (goban\index{goban}). \seedocs{\IGO}. \end{tablenote} \end{symtable} \begin{symtable}[GOPKG]{\GOPKG\ Go Symbols} \index{symbols>Go stones} \index{Go stones} \index{circles} \index{squares} \index{triangles} \index{crosses} \index{geometric shapes} \idxboth{game-related}{symbols} \idxboth{circled}{numerals} \label{go} \begin{tabular}{*3{ll}} \K[\GObotborder]\botborder & \K[\GOlftbotcorner]\lftbotcorner & \K[\GOrttopcorner]\rttopcorner \\ \K[\GOempty]\empty & \K[\GOlfttopcorner]\lfttopcorner & \K[\GOsquare]\square \\ \K[\GOhoshi]\hoshi & \K[\GOrtborder]\rtborder & \K[\GOtopborder]\topborder \\ \K[\GOlftborder]\lftborder & \K[\GOrtbotcorner]\rtbotcorner & \K[\GOtriangle]\triangle \\ \end{tabular} \bigskip \begin{tablenote} In addition to the board fragments and stones shown above, \GOPKG's \cmd{\black} and \cmd{\white} commands accept numbers from~1 to~253 and display them circled as \GOblack{1}, \GOblack{2}, \GOblack{3},~\dots, \GOblack{253} and \GOwhite{1}, \GOwhite{2}, \GOwhite{3},~\dots, \GOwhite{253}, respectively. \cmd{\black} and \cmd{\white} additionally accept \cmdI[\GOsquare]{\square} and \cmdI[\GOtriangle]{\triangle} as arguments, producing {\usefont{U}{gofont}{b}{sl}\char126} and and {\usefont{U}{gofont}{b}{sl}\char127} for \cmd{\black} and {\usefont{U}{gofont}{m}{sl}\char126} and and {\usefont{U}{gofont}{m}{sl}\char127} for \cmd{\white}. The \GOPKG\ package is intended to typeset complete Go\index{Go boards} boards (goban\index{goban}). \seedocs{\GOPKG}. \end{tablenote} \end{symtable} \begin{symtable}[METRE]{\METRE\ Metrical Symbols} \idxboth{metrical}{symbols} \label{metre} \begin{tabular}{*5{ll@{\hspace*{2em}}}ll} \Mt\a & \Mt\bBm & \Mt\cc & \Mt\Mbb & \Mt\Pppp & \Mt\t \\ \Mt\B & \Mt\bbm & \Mt\Ccc & \Mt\mbbx & \Mt\pppp & \Mt\tsbm \\ \Mt\b & \Mt\Bbm & \Mt\m & \Mt\oo & \Mt\Ppppp & \Mt\tsmb \\ \Mt\Bb & \Mt\bbmb & \Mt\M & \Mt\p & \Mt\ppppp & \Mt\tsmm \\ \Mt\BB & \Mt\bbmx & \Mt\ma & \Mt\pm & \Mt\ps & \Mt\vppm \\ \Mt\bb & \Mt\bm & \Mt\Mb & \Mt\pp & \Mt\pxp & \Mt\vpppm \\ \Mt\bB & \Mt\Bm & \Mt\mb & \Mt\Pp & \Mt\Pxp & \Mt\x \\ \Mt\bba & \Mt\c & \Mt\mBb & \Mt\ppm & \Mt\R \\ \Mt\bbb & \Mt\C & \Mt\mbB & \Mt\ppp & \Mt\r \\ \Mt\BBm & \Mt\Cc & \Mt\mbb & \Mt\Ppp & \Mt\T \\ \end{tabular} \bigskip \begin{tablenote} The preceding symbols are valid only within the argument to the \cmd{metre} command. \end{tablenote} \end{symtable} \begin{symtable}[METRE]{\METRE\ Small and Large Metrical Symbols} \idxboth{metrical}{symbols} \label{metre-small-large} \begin{tabular}{ll@{\qqquad}ll} \K\anaclasis & \K\Anaclasis \\ \K[\METREantidiple]\antidiple & \K[\METREAntidiple]\Antidiple \\ \K[\METREantidiplestar]{\antidiple*} & \K[\METREAntidiplestar]{\Antidiple*} \\ \K\antisigma & \K\Antisigma \\ \K\asteriscus & \K\Asteriscus \\ \K\catalexis & \K\Catalexis \\ \K[\METREdiple]\diple & \K[\METREDiple]\Diple \\ \K[\METREdiplestar]{\diple*} & \K[\METREDiplestar]{\Diple*} \\ \K[\METREobelus]\obelus & \K[\METREObelus]\Obelus \\ \K[\METREobelusstar]{\obelus*} & \K[\METREObelusstar]{\Obelus*} \\ \K[\METRErespondens]\respondens & \K[\METRERespondens]\Respondens \\ \K[\METREterminus]\terminus & \K[\METRETerminus]\Terminus \\ \K[\METREterminusstar]{\terminus*} & \K[\METRETerminusstar]{\Terminus*} \\ \end{tabular} \end{symtable} \begin{symtable}[TEUB]{\TEUB\ Metrical Symbols} \idxboth{metrical}{symbols} \label{teubner-metric} \begin{tabular}{*2{ll@{\qquad}}ll} \K\aeolicbii & \K\barbrevis & \K\ipercatal \\ \K\aeolicbiii & \K\bbrevis & \K\longa \\ \K\aeolicbiv & \K\brevis & \K\ubarbbrevis \\ \K\anceps & \K\catal & \K\ubarbrevis \\ \K\ancepsdbrevis & \K\corona & \K\ubarsbrevis \\ \K\banceps & \K\coronainv & \K\ubrevislonga \\ \K\barbbrevis & \K\hiatus & \\ \end{tabular} \bigskip \begin{tablenote} The \TEUB\ package provides a \cmd{\newmetrics} command that helps users combine the preceding symbols as well as other \TEUB\ symbols. For example, the predefined \cmdI{\pentam} symbol uses \cmd{\newmetrics} to juxtapose six \cmdI{\longa}s, two \cmdI{\barbbrevis}es, four \cmdI{\brevis}es, and a \cmdI{\dBar} into ``\pentam''. \seedocs{\TEUB}. \end{tablenote} \end{symtable} \begin{symtable}[DICT]{\DICT\ Dictionary Symbols} \idxboth{dictionary}{symbols} \label{dictionary} \begin{tabular}{*2{ll@{\qqquad}}ll} \K\dsaeronautical & \K\dscommercial & \K\dsmedical \\ \K\dsagricultural & \K\dsheraldical & \K\dsmilitary \\ \K\dsarchitectural & \K\dsjuridical & \K\dsrailways \\ \K\dsbiological & \K\dsliterary & \K\dstechnical \\ \K\dschemical & \K\dsmathematical & \\ \end{tabular} \end{symtable} \begin{symtable}[SIMP]{\SIMP\ Characters from \emph{The Simpsons}} \index{symbols>Simpsons characters} \index{Simpsons characters} \index{faces} \label{simpsons} \begin{tabular}{*3{ll@{\qqquad}}ll} \K\Bart & \K\Homer & \K\Maggie & \K\SNPP \\ \K\Burns & \K\Lisa & \K\Marge & \\ \end{tabular} \bigskip \begin{tablenote} The location of the characters' pupils can be controlled with the \cmd{\Goofy} command. See \emph{A \MF\ of `Simpsons' characters}~\cite{Chen1998} for more information. Also, each of the above can be prefixed with \cmd{\Left} to make the character face left instead of right: \begin{center} \begin{tabular}{ll} \Left\Bart & \verb|\Left\Bart| \\ \end{tabular} \end{center} \end{tablenote} \end{symtable} \begin{symtable}[PMBOX]{\PMBOX\ Box-Drawing Symbols} \idxboth{box-drawing}{symbols} \idxboth{block-element}{symbols} \index{pseudographics} \index{corners, box} \index{IBM PC} \index{Unicode} \index{code page 437} \label{box-drawing} \renewcommand{\arraystretch}{1.25} \begin{tabular}{*4{ll@{\quad}}ll} \K\textblock & \K\textSFli & \K\textSFxli & \K\textSFxxiii \\ \K\textdkshade & \K\textSFlii & \K\textSFxlii & \K\textSFxxiv \\ \K\textdnblock & \K\textSFliii & \K\textSFxliii & \K\textSFxxv \\ \K\textlfblock & \K\textSFliv & \K\textSFxliv & \K\textSFxxvi \\ \K\textltshade & \K\textSFv & \K\textSFxlix & \K\textSFxxvii \\ \K\textrtblock & \K\textSFvi & \K\textSFxlv & \K\textSFxxviii \\ \K\textSFi & \K\textSFvii & \K\textSFxlvi & \K\textSFxxxix \\ \K\textSFii & \K\textSFviii & \K\textSFxlvii & \K\textSFxxxvi \\ \K\textSFiii & \K\textSFx & \K\textSFxlviii & \K\textSFxxxvii \\ \K\textSFiv & \K\textSFxi & \K\textSFxx & \K\textSFxxxviii \\ \K\textSFix & \K\textSFxix & \K\textSFxxi & \K\textshade \\ \K\textSFl & \K\textSFxl & \K\textSFxxii & \K\textupblock \\ \end{tabular} \bigskip \begin{tablenote} Code Page~437 (CP437), which was first utilized by the original IBM~PC, contains the set of box-drawing symbols (sides, corners, and intersections of single- and double-ruled boxes) shown above in character positions~176--223. These symbols also appear in the \href{http://www.unicode.org/charts/}{Unicode Box Drawing and Block Element tables}. The \PMBOX\ package draws the CP437 box-drawing symbols using \tex rules (specifically, \cmd{\vrule}) instead of with a font and thereby provides the ability to alter both rule width and the separation between rules. \seedocs{\PMBOX}. \end{tablenote} \end{symtable} \begin{longsymtable}[STAVE]{\STAVE\ Magical Staves} \index{symbols>staves} \index{symbols>magical signs} \index{magical signs} \index{staves} \index{Icelandic staves} \label{staves} \begin{longtable}{*2{ll@{\qqquad}}ll} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\staveI & \K\staveXXIV & \K\staveXLVII \\ \K\staveII & \K\staveXXV & \K\staveXLVIII \\ \K\staveIII & \K\staveXXVI & \K\staveXLIX \\ \K\staveIV & \K\staveXXVII & \K\staveL \\ \K\staveV & \K\staveXXVIII & \K\staveLI \\ \K\staveVI & \K\staveXXIX & \K\staveLII \\ \K\staveVII & \K\staveXXX & \K\staveLIII \\ \K\staveVIII & \K\staveXXXI & \K\staveLIV \\ \K\staveIX & \K\staveXXXII & \K\staveLV \\ \K\staveX & \K\staveXXXIII & \K\staveLVI \\ \K\staveXI & \K\staveXXXIV & \K\staveLVII \\ \K\staveXII & \K\staveXXXV & \K\staveLVIII \\ \K\staveXIII & \K\staveXXXVI & \K\staveLIX \\ \K\staveXIV & \K\staveXXXVII & \K\staveLX \\ \K\staveXV & \K\staveXXXVIII & \K\staveLXI \\ \K\staveXVI & \K\staveXXXIX & \K\staveLXII \\ \K\staveXVII & \K\staveXL & \K\staveLXIII \\ \K\staveXVIII & \K\staveXLI & \K\staveLXIV \\ \K\staveXIX & \K\staveXLII & \K\staveLXV \\ \K\staveXX & \K\staveXLIII & \K\staveLXVI \\ \K\staveXXI & \K\staveXLIV & \K\staveLXVII \\ \K\staveXXII & \K\staveXLV & \K\staveLXVIII \\ \K\staveXXIII & \K\staveXLVI & \\ \end{longtable} \bigskip \begin{tablenote} The meanings of these symbols are described on the Web site for the Museum of Icelandic Sorcery and Witchcraft\index{Museum of Icelandic Sorcery and Witchcraft} at \url{http://www.galdrasyning.is/index.php?option=com_content&task=category§ionid=5&id=18&Itemid=60} (TinyURL: \url{http://tinyurl.com/25979m}). For example, \cmdI{\staveL}~(``\staveL'') is intended to ward off ghosts\index{ghosts} and evil\index{evil spirits} spirits. \end{tablenote} \end{longsymtable} \begin{symtable}[PIG]{\PIG\ Cipher Symbols} \index{pigpen cipher} \index{masonic cipher} \index{Freemason's cipher} \idxboth{cipher}{symbols} \label{pigpen-cipher} \begin{tabular}{*2{ll@{\qquad}}ll} \Kpig{A} & \Kpig{J} & \Kpig{S} \\ \Kpig{B} & \Kpig{K} & \Kpig{T} \\ \Kpig{C} & \Kpig{L} & \Kpig{U} \\ \Kpig{D} & \Kpig{M} & \Kpig{V} \\ \Kpig{E} & \Kpig{N} & \Kpig{W} \\ \Kpig{F} & \Kpig{O} & \Kpig{X} \\ \Kpig{G} & \Kpig{P} & \Kpig{Y} \\ \Kpig{H} & \Kpig{Q} & \Kpig{Z} \\ \Kpig{I} & \Kpig{R} & \\ \end{tabular} \end{symtable} \begin{symtable}[CHINA]{\CHINA\ Phases of the Moon} \idxboth{astronomical}{symbols} \index{moon} \index{celestial bodies} \index{smiley faces} \index{faces} \label{china-moon} \begin{tabular}{*4{ll}} \Tmoon{1} & \Tmoon{2} & \Tmoon{3} & \Tmoon{4} \\ \end{tabular} \end{symtable} \begin{symtable}[CHINA]{\CHINA\ Recycling Symbols} \idxboth{recycling}{symbols} \label{china-recycle} \begin{tabular}{ll} \K\Greenpoint \\ \end{tabular} \end{symtable} \begin{symtable}[MARV]{\MARV\ Recycling Symbols} \idxboth{recycling}{symbols} \label{marv-recycle} \begin{tabular}{*2{ll}} \K\PackingWaste & \K\Recycling \\ \end{tabular} \end{symtable} \begin{symtable}[RECYC]{\RECYC\ Recycling Symbols} \idxboth{recycling}{symbols} \label{recycling} \begin{tabular}{@{}l@{}} \begin{tabular}{*2{ll}} \K[\RECYCrecycle]\recycle & \Knoidx\Recycle \\ \end{tabular} \\ \\[2ex] \begin{tabular}{ll} \Knoidx\RECYCLE \\ \end{tabular} \end{tabular} \bigskip \begin{tablenote} The \MF\ code that implements the recycling symbols shown above is, in the words of its author, ``awful code [that] doesn't even put the logo in a box (properly)''. Expect to receive ``\texttt{Inconsistent equation (off by} \meta{number}\texttt{)}'' errors from \MF. Fortunately, if you tell \MF\ to proceed past those errors (e.g.,~by pressing Enter after each one or by specifying ``\texttt{-interaction=nonstopmode}'' on the \MF\ command line) it should produce a valid font. The commands listed above should be used within a group (e.g.,~``\verb|{\recycle}|'') because they exhibit the side effect of \emph{changing} the font to the recycle font. \end{tablenote} \end{symtable} \begin{symtable}[CHINA]{Other \CHINA\ Symbols} \index{envelopes} \label{china-misc} \begin{tabular}{*2{ll}} \K[\chinaInfo]\Info & \K\Request \\ \K\Postbox & \K[\chinaTelephone]\Telephone \\ \end{tabular} \end{symtable} \begin{symtable}[SOYO]{\SOYO\ Soyombo Symbols} \idxboth{Soyombo}{symbols} \label{soyombo} \begin{tabular}{@{}*2{ll@{\qquad}}ll@{}} \K\Soyombo & \K[\SOYOsA]\sA$^*$ & \K[\SOYOsO]\sO$^*$ \\ \end{tabular} \bigskip \begin{tablenote}[*] These symbols require that the \PSfont{Soyombo} font be active (``\verb|{\soyombo|~\ldots\ \verb|}|''). \end{tablenote} \end{symtable} \begin{symtable}[KNIT]{\KNIT\ Knitting Symbols} \idxboth{knitting}{symbols} \index{arrows} \index{circles} \label{knitting} \begin{tabular}{@{}*2{ll@{\qquad}}ll@{}} \Tknit{!} & \Tknit{[} & \Tknit{Q} \\ \Tknit{"} & \Tknit{]} & \Tknit{q} \\ \Tknit{(} & \Tknit{A} & \Tknit{R} \\ \Tknit{)} & \Tknit{a} & \Tknit{r} \\ \Tknit{*} & \Tknit{B} & \Tknit{S} \\ \Tknit{-} & \Tknit{b} & \Tknit{s} \\ \Tknit{2} & \Tknit{E} & \Tknit{T} \\ \Tknit{3} & \Tknit{F} & \Tknit{t} \\ \Tknit{4} & \Tknit{f} & \Tknit{U} \\ \Tknit{5} & \Tknit{H} & \Tknit{u} \\ \Tknit{6} & \Tknit{h} & \Tknit{V} \\ \Tknit{7} & \Tknit{I} & \Tknit{v} \\ \Tknit{8} & \Tknit{i} & \Tknit{W} \\ \Tknit{9} & \Tknit{J} & \Tknit{w} \\ \Tknit{:} & \Tknit{j} & \Tknit{X} \\ \Tknit{;} & \Tknit{L} & \Tknit{x} \\ \Tknit{<} & \Tknit{l} & \Tknit{Y} \\ \Tknit{=} & \Tknit{M} & \Tknit{y} \\ \Tknit{>} & \Tknit{m} & \Tknit{Z} \\ \Tknit{@} & \Tknit{O} & \Tknit{z} \\ \end{tabular} \bigskip \begin{tablenote} The \KNIT\ package is intended to typeset complete knitting charts. \seedocs{\KNIT}. Some symbols behave differently when used as part of a sequence. For example, contrast \verb|\textknit{1}|~(``\textknit{1}''), \verb|\textknit{11}|~(``\textknit{11}''), and \verb|\textknit{111}|~(``\textknit{111}''). Similarly, contrast \verb|\textknit{"}|~(``\textknit{"}\,'') and \verb|\textknit{""}|~(``\,\textknit{""}''). Again, \expandafter\MakeLowercase\seedocs{\KNIT}. \end{tablenote} \end{symtable} \begin{longsymtable}[COE]{\COE\ Country Maps} \idxboth{European}{countries} \index{symbols>countries} \index{symbols>maps} \index{maps} \index{land masses} \label{CountriesOfEurope} \renewcommand{\arraystretch}{2} % Prevent tall symbols from touching. \begin{longtable}{@{}ll@{\hspace{4em}}ll@{}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Kcoe\Albania & \Kcoe\Latvia \\ \Kcoe\Andorra & \Kcoe\Liechtenstein \\ \Kcoe\Austria & \Kcoe\Lithuania \\ \Kcoe\Belarus & \Kcoe\Luxembourg \\ \Kcoe\Belgium & \Kcoe\Macedonia \\ \Kcoe\Bosnia & \Kcoe\Malta \\ \Kcoe\Bulgaria & \Kcoe\Moldova \\ \Kcoe\Croatia & \Kcoe\Montenegro \\ \Kcoe\Czechia & \Kcoe\Netherlands \\ \Kcoe\Denmark & \Kcoe\Norway \\ \Kcoe\Estonia & \Kcoe\Poland \\ \Kcoe\Finland & \Kcoe\Portugal \\ \Kcoe\France & \Kcoe\Romania \\ \Kcoe\Germany & \Kcoe\Serbia \\ \Kcoe\GreatBritain & \Kcoe\Slovakia \\ \Kcoe\Greece & \Kcoe\Slovenia \\ \Kcoe\Hungary & \Kcoe\Spain \\ \Kcoe\Iceland & \Kcoe\Sweden \\ \Kcoe\Ireland & \Kcoe\Switzerland \\ \Kcoe\Italy & \\ \end{longtable} \bigskip \begin{tablenote} The preceding commands work only when the \PSfont{CountriesOfEurope} font family is active. For convenience, the package defines a \cmd{\countriesofeuropefamily} command that switches to that font family. By default, countries are drawn in the current font size. Hence, ``\verb|{\countriesofeuropefamily\France}|'' draws a nearly unrecognizable ``{\countriesofeuropefamily\France}''. For clarity of presentation, \ref{CountriesOfEurope} scales each glyph to 72\,pt.\ via an explicit \verb|\fontsize{72}{72}|. An alternative is to specify the \optname{CountriesOfEurope}{scaled} package option to scale all country glyphs by a given factor of the font size. \end{tablenote} \end{longsymtable} \begin{symtable}[EUFLAG]{\EUFLAG\ European Union flag} \index{flags} \label{euflag} \begin{tabular}{ll} \K\euflag \\ \end{tabular} \bigskip \begin{tablenote} The \texttt{\string\euflag} flag is drawn using the \latex\ \texttt{picture} environment. \end{tablenote} \end{symtable} \begin{symtable}[AREV]{Miscellaneous \AREV\ Symbols} \index{smiley faces} \index{frowny faces} \index{faces} \index{quotation marks} \index{skulls} \idxboth{miscellaneous}{symbols} \idxboth{recycling}{symbols} \idxboth{yin-yang}{symbols} \label{arev-misc} \begin{tabular}{*4{ll}} \K[\AREVanchor]\anchor & \K[\AREVinvsmileface]\invsmileface & \K[\AREVskull]\skull & \K[\AREVwarning]\warning \\ \K[\AREVbiohazard]\biohazard & \K[\AREVradiation]\radiation & \K[\AREVsmileface]\smileface & \K[\AREVyinyang]\yinyang \\ \K[\AREVheavyqtleft]\heavyqtleft & \K[\AREVrecycle]\recycle & \K[\AREVsteaming]\steaming & \\ \K[\AREVheavyqtright]\heavyqtright & \K[\AREVsadface]\sadface & \K[\AREVswords]\swords & \\ \end{tabular} \end{symtable} \begin{symtable}[COOK]{\COOK\ Cooking Symbols} \idxboth{cooking}{symbols} \label{cookingsymbols} \begin{tabular}{*4{ll}} \K\Bottomheat & \K\Fork & \K\Knife & \K\Topbottomheat \\ \K\Dish & \K\Gasstove & \K\Oven & \K\Topheat \\ \K\Fanoven & \K\Gloves & \K\Spoon & \\ \end{tabular} \end{symtable} \begin{symtable}[TIKZSYM]{\TIKZSYM\ Cooking Symbols} \idxboth{cooking}{symbols} \label{tikzsym-cooking} \begin{tabular}{*4{ll}} \K\bakingplate & \K\eggbeater & \K\pan & \K\squeezer \\ \K\blender & \K\fryingpan & \K\peeler & \K\trident \\ \K\bottle & \K\garlicpress & \K\pot & \\ \K\bowl & \K\grater & \K\rollingpin & \\ \K\cooker & \K\oven & \K\sieve & \\ \end{tabular} \bigskip \begin{tablenote} \TIKZSYM\ defines German-language aliases for each of the above: \cmdI{\Backblech} for \cmdI{\bakingplate}, \cmdI{\Bratpfanne} for \cmdI{\fryingpan}, \cmdI{\Dreizack} for \cmdI{\trident}, \cmdI{\Flasche} for \cmdI{\bottle}, \cmdI{\Herd} for \cmdI{\cooker}, \cmdI{\Kochtopf} for \cmdI{\pot}, \cmdI{\Knoblauchpresse} for \cmdI{\garlicpress}, \cmdI{\Nudelholz} for \cmdI{\rollingpin}, \cmdI{\Ofen} for \cmdI{\oven}, \cmdI{\Pfanne} for \cmdI{\pan}, \cmdI{\Purierstab} for \cmdI{\blender}, \cmdI{\Reibe} for \cmdI{\grater}, \cmdI{\Saftpresse} for \cmdI{\squeezer}, \cmdI{\Schaler} for \cmdI{\peeler}, \cmdI{\Schneebesen} for \cmdI{\eggbeater}, \cmdI{\Schussel} for \cmdI{\bowl}, and \cmdI{\Sieb} for \cmdI{\sieve}. \tikzsymbolsaregraphics. \end{tablenote} \end{symtable} \begin{symtable}[TIKZSYM]{\TIKZSYM\ Emoticons} \index{emoticons} \index{smiley faces} \index{frowny faces} \index{faces} \label{tikzsym-emoticons} \newcommand*{\zero}{\texttt{\string{0\string}}} \newcommand*{\one}{\texttt{\string{1\string}}} \begin{tabular}{*4{ll}} \K\Annoey & \K\Laughey & \K\rWalley & \K\Tongey \\ \K\Cat & \K\Neutrey & \K\Sadey & \K\Vomey \\ \K[\cChangey{1}]\cChangey\one & \K\NiceReapey & \K[\SchrodingersCat{0}]\SchrodingersCat\zero & \K\Walley \\ \K[\Changey{1}]\Changey\one & \K\Ninja & \K\Sey & \K\Winkey \\ \K\Cooley & \K\Nursey & \K\Sleepey & \K\wInnocey \\ \K\Innocey & \K\oldWinkey & \K\Smiley & \K\Xey \\ \end{tabular} \bigskip \begin{tablenote} \tikzsymbolsaregraphics. Hence, symbols like \cmdI{\Ninja} can include color. In fact, most of the commands shown above accept one or more color arguments for further customization. Also note that \texttt{\string\cChangey}, \texttt{\string\Changey}, and \texttt{\string\SchrodingersCat} take a mandatory argument. \seedocs{\TIKZSYM}. \end{tablenote} \end{symtable} \begin{symtable}[TIKZSYM]{\TIKZSYM\ 3D Emoticons} \index{emoticons} \index{smiley faces} \index{frowny faces} \index{faces} \label{tikzsym-emoticons-3d} \newcommand*{\one}{\texttt{\string{1\string}}} \begin{tabular}{*4{ll}} \K\dAnnoey & \K\dLaughey & \K\dSadey & \K\dVomey \\ \K[\dcChangey{1}]\dcChangey\one & \K\dNeutrey & \K\dSey & \K\dWalley \\ \K[\dChangey{1}]\dChangey\one & \K\dNinja & \K\dSleepey & \K\dWinkey \\ \K\dCooley & \K\dNursey & \K\dSmiley & \K\dXey \\ \K\dInnocey & \K\drWalley & \K\dTongey & \K\olddWinkey \\ \end{tabular} \bigskip \begin{tablenote} \tikzsymbolsaregraphics. Hence, all of the symbols shown above can include color. In fact, each command in \ref{tikzsym-emoticons-3d} accepts one or more color arguments for further customization. Note that \texttt{\string\dcChangey} and \texttt{\string\dChangey} also take a mandatory argument. \seedocs{\TIKZSYM}. \end{tablenote} \end{symtable} \begin{symtable}[TIKZSYM]{\TIKZSYM\ Trees} \index{trees} \label{tikzsym-trees} \begin{tabular}{*3{ll}} \K\Autumntree & \K\Summertree & \K\WorstTree \\ \K\Springtree & \K\Wintertree & \\ \end{tabular} \bigskip \begin{tablenote} \tikzsymbolsaregraphics. Hence, all of the symbols shown above can include color. \TIKZSYM\ additionally defines a \cmd{\BasicTree} command that supports customization of trunk and leaf colors. \seedocs{\TIKZSYM}. \end{tablenote} \end{symtable} \begin{symtable}[TIKZSYM]{Miscellaneous \TIKZSYM\ Symbols} \idxboth{miscellaneous}{symbols} \index{man} \index{stick figures} \index{snowmen} \label{tikzsym-misc} \begin{tabular}{*5{ll}} \K\Bed & \K\Chair & \K\Fire & \K\Snowman & \K\Tribar \\ \K\Candle & \K\Coffeecup & \K\Moai & \K\Strichmaxerl & \\ \end{tabular} \bigskip \begin{tablenote} \tikzsymbolsaregraphics. \cmdI{\Tribar} supports customization of the fill color for each bar. \cmdI{\Strichmaxerl} supports customization of the angles at which the stick figure's arms and legs are drawn. \seedocs{\TIKZSYM}. \end{tablenote} \end{symtable} \begin{symtable}[SCSNOW]{\SCSNOW\ Snowmen} \index{snowmen} \label{scsnowman} \begin{tabular}{ll} \K\scsnowman \\ \end{tabular} \bigskip \begin{tablenote}[*] \cmdI[\scsnowmanFANCY]{\scsnowman} is drawn using \TikZ\@. The command accepts a number of options for controlling the presence, appearance, and color of the snowman's body, eyes, nose, mouth, arms, hat, and more. \seedocs{\SCSNOW}, but the following examples showcase a subset of the possibilities (drawn large for clarity): \vspace{-\baselineskip} \begin{center} \begin{tabular}{c@{\hspace{1cm}}c} \scsnowman[scale=5] & \scsnowmanFANCY[scale=5] \\ \texttt{\string\scsnowman} & \multicolumn{1}{p{5cm}}{% \texttt{\string\scsnowman[\snowargs]}% } \\ \end{tabular} \end{center} \end{tablenote} \end{symtable} \begin{longsymtable}[BCLOGO]{Miscellaneous \BCLOGO\ Symbols} \ltindex{bomb} \ltindex{male} \ltindex{female} \ltindex{flags} \ltindex{clefs} \ltindex{smiley faces} \ltindex{frowny faces} \ltindex{faces} \ltindex{card suits} \ltindex{hearts} \ltindex{spades} \ltindex{flowers} \ltindex{paperclip} \ltindex{sun} \ltidxboth{yin-yang}{symbols} \ltidxboth{weather}{symbols} \ltidxboth{clock}{symbols} \ltidxboth{recycling}{symbols} \ltidxboth{musical}{symbols} \ltidxboth{miscellaneous}{symbols} \label{bclogo} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\bcattention & \K\bcetoile & \K\bcpanchant \\ \K\bcbombe & \K\bcfemme & \K\bcpeaceandlove \\ \K\bcbook & \K\bcfeujaune & \K\bcpluie \\ \K\bccalendrier & \K\bcfeurouge & \K\bcplume \\ \K\bccle & \K\bcfeutricolore & \K\bcpoisson \\ \K\bcclefa & \K\bcfeuvert & \K\bcquestion \\ \K\bcclesol & \K\bcfleur & \K\bcrecyclage \\ \K\bccoeur & \K\bchomme & \K\bcrosevents \\ \K\bccrayon & \K\bchorloge & \K\bcsmbh \\ \K\bccube & \K\bcicosaedre & \K\bcsmmh \\ \K\bcdallemagne & \K\bcinfo & \K\bcsoleil \\ \K\bcdanger & \K\bcinterdit & \K\bcspadesuit \\ \K\bcdautriche & \K\bclampe & \K\bcstop \\ \K\bcdbelgique & \K\bcloupe & \K\bctakecare \\ \K\bcdbulgarie & \K\bcneige & \K\bctetraedre \\ \K\bcdfrance & \K\bcnote & \K\bctrefle \\ \K\bcditalie & \K\bcnucleaire & \K\bctrombone \\ \K\bcdluxembourg & \K\bcoctaedre & \K\bcvaletcoeur \\ \K\bcdodecaedre & \K\bcoeil & \K\bcvelo \\ \K\bcdpaysbas & \K\bcorne & \K\bcyin \\ \K\bcdz & \K\bcours & \\ \K\bceclaircie & \K\bcoutil & \\ \end{longtable} \begin{tablenote} All \BCLOGO\ symbols are implemented with \TikZ\ (or alternatively, \PSTricks) graphics, not with a font. This is how the symbols shown above can include color. \end{tablenote} \end{longsymtable} \begin{longsymtable}[FNTAWE]{\FNTAWE\ Web-Related Icons} \ltindex{arrows} \ltindex{check marks} \ltindex{faces} \ltindex{female} \ltindex{flags} \ltindex{frowny faces} \ltindex{geometric shapes} \ltindex{hearts} \ltindex{male} \ltindex{scissors} \ltindex{smiley faces} \ltidxboth{Web}{symbols} \ltidxboth{computer}{symbols} \ltidxboth{cooking}{symbols} \ltidxboth{file}{symbols} \ltidxboth{game-related}{symbols} \ltidxboth{letter-like}{symbols} \ltidxboth{media control}{symbols} \ltidxboth{musical}{symbols} \ltidxboth{recycling}{symbols} \label{fontawesome} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K[\faicon{500px}]\fa500px & \K\faFemale & \K\faPlane \\ \K\faAdjust & \K\faFighterJet & \K\faPlay \\ \K\faAdn & \K\faFile & \K\faPlayCircle \\ \K\faAlignCenter & \K\faFileArchiveO & \K\faPlayCircleO \\ \K\faAlignJustify & \K\faFileAudioO & \K\faPlug \\ \K\faAlignLeft & \K\faFileCodeO & \K\faPlus \\ \K\faAlignRight & \K\faFileExcelO & \K\faPlusCircle \\ \K\faAmazon & \K\faFileImageO & \K\faPlusSquare \\ \K\faAmbulance & \K\faFileO & \K\faPlusSquareO \\ \K\faAnchor & \K\faFilePdfO & \K\faPowerOff \\ \K\faAndroid & \K\faFilePowerpointO & \K\faPrint \\ \K\faAngellist & \K\faFilesO & \K\faPuzzlePiece \\ \K\faAngleDoubleDown & \K\faFileText & \K\faQq \\ \K\faAngleDoubleLeft & \K\faFileTextO & \K\faQrcode \\ \K\faAngleDoubleRight & \K\faFileVideoO & \K\faQuestion \\ \K\faAngleDoubleUp & \K\faFileWordO & \K\faQuestionCircle \\ \K\faAngleDown & \K\faFilm & \K\faQuoteLeft \\ \K\faAngleLeft & \K\faFilter & \K\faQuoteRight \\ \K\faAngleRight & \K\faFire & \K\faRandom \\ \K\faAngleUp & \K\faFireExtinguisher & \K\faRebel \\ \K\faApple & \K\faFirefox & \K\faRecycle \\ \K\faArchive & \K\faFlag & \K\faReddit \\ \K\faAreaChart & \K\faFlagCheckered & \K\faRedditSquare \\ \K\faAsterisk & \K\faFlagO & \K\faRefresh \\ \K\faAt & \K\faFlask & \K\faRenren \\ \K\faBackward & \K\faFlickr & \K\faReply \\ \K\faBalanceScale & \K\faFloppyO & \K\faReplyAll \\ \K\faBan & \K\faFolder & \K\faRetweet \\ \K\faBarChart & \K\faFolderO & \K\faRoad \\ \K\faBarcode & \K\faFolderOpen & \K\faRocket \\ \K\faBars & \K\faFolderOpenO & \K\faRss \\ \K\faBatteryEmpty & \K\faFont & \K\faRssSquare \\ \K\faBatteryFull & \K\faFonticons & \K\faSafari \\ \K\faBatteryHalf & \K\faForumbee & \K\faScissors \\ \K\faBatteryQuarter & \K\faForward & \K\faSearch \\ \K\faBatteryThreeQuarters & \K\faFoursquare & \K\faSearchMinus \\ \K\faBed & \K\faFrownO & \K\faSearchPlus \\ \K\faBeer & \K\faFutbolO & \K\faSellsy \\ \K\faBehance & \K\faGamepad & \K\faServer \\ \K\faBehanceSquare & \K\faGavel & \K\faShare \\ \K\faBell & \K\faGetPocket & \K\faShareAlt \\ \K\faBellO & \K\faGg & \K\faShareAltSquare \\ \K\faBellSlash & \K\faGgCircle & \K\faShareSquare \\ \K\faBellSlashO & \K\faGift & \K\faShareSquareO \\ \K\faBicycle & \K\faGit & \K\faShield \\ \K\faBinoculars & \K\faGithub & \K\faShip \\ \K\faBirthdayCake & \K\faGithubAlt & \K\faShirtsinbulk \\ \K\faBitbucket & \K\faGithubSquare & \K\faShoppingCart \\ \K\faBitbucketSquare & \K\faGitSquare & \K\faSignal \\ \K\faBlackTie & \K\faGlass & \K\faSignIn \\ \K\faBold & \K\faGlobe & \K\faSignOut \\ \K\faBolt & \K\faGoogle & \K\faSimplybuilt \\ \K\faBomb & \K\faGooglePlus & \K\faSitemap \\ \K\faBook & \K\faGooglePlusSquare & \K\faSkyatlas \\ \K\faBookmark & \K\faGoogleWallet & \K\faSkype \\ \K\faBookmarkO & \K\faGraduationCap & \K\faSlack \\ \K\faBriefcase & \K\faGratipay & \K\faSliders \\ \K\faBug & \K\faHackerNews & \K\faSlideshare \\ \K\faBuilding & \K\faHddO & \K\faSmileO \\ \K\faBuildingO & \K\faHeader & \K\faSort \\ \K\faBullhorn & \K\faHeadphones & \K\faSortAlphaAsc \\ \K\faBullseye & \K\faHeart & \K\faSortAlphaDesc \\ \K\faBus & \K\faHeartbeat & \K\faSortAmountAsc \\ \K\faBuysellads & \K\faHeartO & \K\faSortAmountDesc \\ \K\faCalculator & \K\faHistory & \K\faSortAsc \\ \K\faCalendar & \K\faHome & \K\faSortDesc \\ \K\faCalendarCheckO & \K\faHospitalO & \K\faSortNumericAsc \\ \K\faCalendarMinusO & \K[\faicon{hourglass}]\faHourglass & \K\faSortNumericDesc \\ \K\faCalendarO & \K\faHourglassEnd & \K\faSoundcloud \\ \K\faCalendarPlusO & \K\faHourglassHalf & \K\faSpaceShuttle \\ \K\faCalendarTimesO & \K\faHourglassO & \K\faSpinner \\ \K\faCamera & \K\faHourglassStart & \K\faSpoon \\ \K\faCameraRetro & \K\faHouzz & \K\faSpotify \\ \K\faCar & \K\faHSquare & \K\faStackExchange \\ \K\faCaretDown & \K[\faicon{html5}]{\faHtml5} & \K\faStackOverflow \\ \K\faCaretLeft & \K\faICursor & \K\faSteam \\ \K\faCaretRight & \K\faInbox & \K\faSteamSquare \\ \K\faCaretSquareODown & \K\faIndent & \K\faStepBackward \\ \K\faCaretSquareOLeft & \K\faIndustry & \K\faStepForward \\ \K\faCaretSquareORight & \K\faInfo & \K\faStethoscope \\ \K\faCaretSquareOUp & \K\faInfoCircle & \K\faStickyNote \\ \K\faCaretUp & \K\faInstagram & \K\faStickyNoteO \\ \K\faCartArrowDown & \K\faInternetExplorer & \K\faStop \\ \K\faCartPlus & \K\faIoxhost & \K\faStreetView \\ \K\faCc & \K\faItalic & \K\faStrikethrough \\ \K\faCcAmex & \K\faJoomla & \K\faStumbleupon \\ \K\faCcDinersClub & \K\faJsfiddle & \K\faStumbleuponCircle \\ \K\faCcDiscover & \K\faKey & \K\faSubscript \\ \K\faCcJcb & \K\faKeyboardO & \K\faSubway \\ \K\faCcMastercard & \K\faLanguage & \K\faSuitcase \\ \K\faCcPaypal & \K\faLaptop & \K\faSuperscript \\ \K\faCcStripe & \K\faLastfm & \K\faTable \\ \K\faCcVisa & \K\faLastfmSquare & \K\faTablet \\ \K\faCertificate & \K\faLeaf & \K\faTachometer \\ \K\faChainBroken & \K\faLeanpub & \K\faTag \\ \K\faChild & \K\faLemonO & \K\faTags \\ \K\faChrome & \K\faLevelDown & \K\faTasks \\ \K\faClipboard & \K\faLevelUp & \K\faTaxi \\ \K\faClockO & \K\faLifeRing & \K\faTelevision \\ \K\faClone & \K\faLightbulbO & \K\faTencentWeibo \\ \K\faCloud & \K\faLineChart & \K\faTerminal \\ \K\faCloudDownload & \K\faLink & \K\faTextHeight \\ \K\faCloudUpload & \K\faLinkedin & \K\faTextWidth \\ \K\faCode & \K\faLinkedinSquare & \K\faTh \\ \K\faCodeFork & \K\faLinux & \K\faThLarge \\ \K\faCodepen & \K\faList & \K\faThList \\ \K\faCoffee & \K\faListAlt & \K\faThumbTack \\ \K\faCog & \K\faListOl & \K\faTicket \\ \K\faCogs & \K\faListUl & \K\faTint \\ \K\faColumns & \K\faLocationArrow & \K\faToggleOff \\ \K\faComment & \K\faLock & \K\faToggleOn \\ \K\faCommenting & \K\faMagic & \K\faTrain \\ \K\faCommentingO & \K\faMagnet & \K\faTrash \\ \K\faCommentO & \K\faMale & \K\faTrashO \\ \K\faComments & \K\faMap & \K\faTree \\ \K\faCommentsO & \K\faMapMarker & \K\faTrello \\ \K\faCompass & \K\faMapO & \K\faTripadvisor \\ \K\faCompress & \K\faMapPin & \K\faTrophy \\ \K\faConnectdevelop & \K\faMapSigns & \K\faTruck \\ \K\faContao & \K\faMaxcdn & \K\faTty \\ \K\faCreditCard & \K\faMeanpath & \K\faTumblr \\ \K\faCrop & \K\faMedium & \K\faTumblrSquare \\ \K\faCrosshairs & \K\faMedkit & \K\faTwitch \\ \K[\faicon{css3}]{\faCss3} & \K\faMehO & \K\faTwitter \\ \K\faCube & \K\faMicrophone & \K\faTwitterSquare \\ \K\faCubes & \K\faMicrophoneSlash & \K\faUmbrella \\ \K\faCutlery & \K\faMinus & \K\faUnderline \\ \K\faDashcube & \K\faMinusCircle & \K\faUniversity \\ \K\faDatabase & \K\faMinusSquare & \K\faUnlock \\ \K\faDelicious & \K\faMinusSquareO & \K\faUnlockAlt \\ \K\faDesktop & \K\faMobile & \K\faUpload \\ \K\faDeviantart & \K\faMoney & \K\faUser \\ \K\faDiamond & \K\faMotorcycle & \K\faUserMd \\ \K\faDigg & \K\faMousePointer & \K\faUserPlus \\ \K\faDownload & \K\faMusic & \K\faUsers \\ \K\faDribbble & \K\faNewspaperO & \K\faUserSecret \\ \K\faDropbox & \K\faObjectGroup & \K\faUserTimes \\ \K\faDrupal & \K\faObjectUngroup & \K\faVideoCamera \\ \K\faEject & \K\faOdnoklassniki & \K\faVimeo \\ \K\faEllipsisH & \K\faOdnoklassnikiSquare & \K\faVimeoSquare \\ \K\faEllipsisV & \K\faOpencart & \K\faVine \\ \K\faEmpire & \K\faOpenid & \K\faVk \\ \K\faEnvelope & \K\faOpera & \K\faVolumeDown \\ \K\faEnvelopeO & \K\faOptinMonster & \K\faVolumeOff \\ \K\faEnvelopeSquare & \K\faOutdent & \K\faVolumeUp \\ \K\faEraser & \K\faPagelines & \K\faWeibo \\ \K\faExchange & \K\faPaintBrush & \K\faWeixin \\ \K\faExclamation & \K\faPaperclip & \K\faWhatsapp \\ \K\faExclamationCircle & \K\faPaperPlane & \K\faWheelchair \\ \K\faExclamationTriangle & \K\faPaperPlaneO & \K\faWifi \\ \K\faExpand & \K\faParagraph & \K\faWikipediaW \\ \K\faExpeditedssl & \K\faPause & \K\faWindows \\ \K\faExternalLink & \K\faPaw & \K\faWordpress \\ \K\faExternalLinkSquare & \K\faPaypal & \K\faWrench \\ \K\faEye & \K\faPhone & \K\faXing \\ \K\faEyedropper & \K\faPhoneSquare & \K\faXingSquare \\ \K\faEyeSlash & \K\faPictureO & \K\faYahoo \\ \K\faFacebook & \K\faPieChart & \K\faYCombinator \\ \K\faFacebookOfficial & \K\faPiedPiper & \K\faYelp \\ \K\faFacebookSquare & \K\faPiedPiperAlt & \K\faYoutube \\ \K\faFastBackward & \K\faPinterest & \K\faYoutubePlay \\ \K\faFastForward & \K\faPinterestP & \K\faYoutubeSquare \\ \K\faFax & \K\faPinterestSquare & \\ \end{longtable} \FNTAWE\ defines synonyms for many of the preceding symbols: \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \K\faAutomobile & \K\faFileZipO & \K\faRa \\ \K\faBank & \K\faFlash & \K\faReorder \\ \K\faBarChartO & \K\faGe & \K\faSave \\ \K[\faBatteryEmpty]{\faBattery0} & \K\faGear & \K\faSend \\ \K[\faBatteryQuarter]{\faBattery1} & \K\faGears & \K\faSendO \\ \K[\faBatteryHalf]{\faBattery2} & \K\faGittip & \K\faSoccerBallO \\ \K[\faBatteryThreeQuarters]{\faBattery3} & \K\faGroup & \K\faSortDown \\ \K[\faBatteryFull]{\faBattery4} & \K\faHotel & \K\faSortUp \\ \K\faCab & \K\faImage & \K\faSupport \\ \K\faChain & \K\faInstitution & \K\faToggleDown \\ \K\faCopy & \K\faLegal & \K\faToggleLeft \\ \K\faCut & \K\faLifeBouy & \K\faToggleRight \\ \K\faDashboard & \K\faLifeSaver & \K\faToggleUp \\ \K\faDedent & \K\faMailForward & \K\faTv \\ \K\faEdit & \K\faMailReply & \K\faUnlink \\ \K\faFacebookF & \K\faMailReplyAll & \K\faUnsorted \\ \K\faFeed & \K\faMobilePhone & \K\faWarning \\ \K\faFileMovieO & \K\faMortarBoard & \K\faWechat \\ \K\faFilePhotoO & \K\faNavicon & \K\faYc \\ \K\faFilePictureO & \K\faPaste & \K\faYCombinatorSquare \\ \K\faFileSoundO & \K\faPhoto & \K\faYcSquare \\ \end{longtable} \end{longsymtable} \begin{symtable}[RUBIK]{\RUBIK\ Rubik's Cube Rotations} \index{Rubik's Cube} \index{cube rotations} \label{rubik-rot} \renewcommand{\arraystretch}{1.5} % Prevent tall symbols from touching. \begin{tabular}{*5{ll}} \K\rrhD & \K\rrhF & \K\rrhLw & \K\rrhRw & \K\rrhU \\ \K\rrhDa & \K\rrhFp & \K\rrhLwp & \K\rrhRwp & \K\rrhUa \\ \K\rrhDap & \K\rrhFw & \K\rrhM & \K\rrhSd & \K\rrhUap \\ \K\rrhDp & \K\rrhFwp & \K\rrhMp & \K\rrhSdp & \K\rrhUp \\ \K\rrhDs & \K\rrhL & \K\rrhR & \K\rrhSl & \K\rrhUs \\ \K\rrhDsp & \K\rrhLa & \K\rrhRa & \K\rrhSlp & \K\rrhUsp \\ \K\rrhDw & \K\rrhLap & \K\rrhRap & \K\rrhSr & \K\rrhUw \\ \K\rrhDwp & \K\rrhLp & \K\rrhRp & \K\rrhSrp & \K\rrhUwp \\ \K\rrhE & \K\rrhLs & \K\rrhRs & \K\rrhSu & \\ \K\rrhEp & \K\rrhLsp & \K\rrhRsp & \K\rrhSup & \\ \end{tabular} \bigskip \begin{tablenote} All \RUBIK\ symbols are implemented with \TikZ\ graphics, not with a font. In addition to the symbols shown above, the \RUBIK\ package defines commands for combinations of textual and graphical representations of rotations (e.g.,~\cmdI{\textRubikUa} produces ``\textRubikUa'') as well as commands that produce colored illustrations of Rubik's Cube configurations and rotations. \seedocs{\RUBIK}. \end{tablenote} \end{symtable} \idxbothend{miscellaneous}{symbols} \section{Fonts with minimal \latex\ support} \label{min-latex-support} \tablesubsections The symbol fonts shown in this section are provided without a corresponding \latexE\ style file that assigns a convenient name to each glyph. Consequently, each glyph must be accessed by number. To help with this, the \pkgname{pifont} package defines a \cmd{\Pisymbol} command that typesets a specified character by number from a specified \latex\ font family. Alas, most of the fonts in this section do not even define a \latex\ font family. Hence, except where otherwise specified, a document will need to include code like the following in its preamble: \bigskip \indent \begin{tabular}{|l|} \hline \verb|\usepackage{pifont}| \\ \verb|\DeclareFontFamily{U}{|\meta{name}\verb|}{}| \\ \verb|\DeclareFontShape{U}{|\meta{name}\verb|}{m}{n}{<-> |\meta{font}\verb|}{}| \\ \hline \end{tabular} \bigskip \noindent where \meta{font} is the name of the \fileext{tfm} font file (or \fileext{mf} font file, from which a \fileext{tfm} font file can be generated automatically), and \meta{name} is a name to use to refer to that font. It's generally good practice to use the name of the font file for \meta{name}, as in the following: \bigskip \indent \begin{tabular}{|l|} \hline \verb|\usepackage{pifont}| \\ \verb|\DeclareFontFamily{U}{hands}{}| \\ \verb|\DeclareFontShape{U}{hands}{m}{n}{<-> hands}{}| \\ \hline \end{tabular} \bigskip \begin{symtable}[HANDS]{\HANDS\ Fists} \index{fists} \label{hands-fists} \begin{tabular}{*4{ll}} \Tpi{hands}{65} & \Tpi{hands}{67} \\ \Tpi{hands}{66} & \Tpi{hands}{68} \\ \end{tabular} \end{symtable} \begin{symtable}[GRPNT]{\GRPNT\ Recycling Symbols} \idxboth{recycling}{symbols} \label{greenpoint} \begin{tabular}{ll} \Tpi{greenpoint}{71} \\ \end{tabular} \end{symtable} \begin{longsymtable}[NKARTA]{\NKARTA\ Map Symbols} \ltidxboth{map}{symbols} \ltindex{stars} \ltindex{polygons} \ltindex{rhombuses} \ltindex{circles} \ltindex{ellipses (ovals)} \ltindex{ovals} \ltindex{rectangles} \ltindex{squares} \ltindex{triangles} \ltindex{geometric shapes} \ltindex{arrows} \ltindex{numerals} \ltindex{crosses} \ltindex{plusses} \ltindex{crucifixes} \ltindex{man} \ltindex{compass} \label{nkarta} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{nkarta}{33} & \Tpi{nkarta}{96} & \Tpi{nkarta}{193} \\ \Tpi{nkarta}{34} & \Tpi{nkarta}{97} & \Tpi{nkarta}{194} \\ \Tpi{nkarta}{35} & \Tpi{nkarta}{98} & \Tpi{nkarta}{195} \\ \Tpi{nkarta}{36} & \Tpi{nkarta}{99} & \Tpi{nkarta}{196} \\ \Tpi{nkarta}{37} & \Tpi{nkarta}{100} & \Tpi{nkarta}{197} \\ \Tpi{nkarta}{38} & \Tpi{nkarta}{101} & \Tpi{nkarta}{198} \\ \Tpi{nkarta}{39} & \Tpi{nkarta}{102} & \Tpi{nkarta}{199} \\ \Tpi{nkarta}{40} & \Tpi{nkarta}{103} & \Tpi{nkarta}{200} \\ \Tpi{nkarta}{41} & \Tpi{nkarta}{104} & \Tpi{nkarta}{201} \\ \Tpi{nkarta}{42} & \Tpi{nkarta}{105} & \Tpi{nkarta}{202} \\ \Tpi{nkarta}{43} & \Tpi{nkarta}{106} & \Tpi{nkarta}{203} \\ \Tpi{nkarta}{44} & \Tpi{nkarta}{107} & \Tpi{nkarta}{204} \\ \Tpi{nkarta}{45} & \Tpi{nkarta}{108} & \Tpi{nkarta}{205} \\ \Tpi{nkarta}{46} & \Tpi{nkarta}{109} & \Tpi{nkarta}{206} \\ \Tpi{nkarta}{47} & \Tpi{nkarta}{110} & \Tpi{nkarta}{207} \\ \Tpi{nkarta}{48} & \Tpi{nkarta}{111} & \Tpi{nkarta}{208} \\ \Tpi{nkarta}{49} & \Tpi{nkarta}{112} & \Tpi{nkarta}{209} \\ \Tpi{nkarta}{50} & \Tpi{nkarta}{113} & \Tpi{nkarta}{210} \\ \Tpi{nkarta}{51} & \Tpi{nkarta}{114} & \Tpi{nkarta}{211} \\ \Tpi{nkarta}{52} & \Tpi{nkarta}{115} & \Tpi{nkarta}{212} \\ \Tpi{nkarta}{53} & \Tpi{nkarta}{116} & \Tpi{nkarta}{213} \\ \Tpi{nkarta}{54} & \Tpi{nkarta}{117} & \Tpi{nkarta}{214} \\ \Tpi{nkarta}{55} & \Tpi{nkarta}{118} & \Tpi{nkarta}{215} \\ \Tpi{nkarta}{56} & \Tpi{nkarta}{119} & \Tpi{nkarta}{216} \\ \Tpi{nkarta}{57} & \Tpi{nkarta}{120} & \Tpi{nkarta}{217} \\ \Tpi{nkarta}{58} & \Tpi{nkarta}{121} & \Tpi{nkarta}{218} \\ \Tpi{nkarta}{59} & \Tpi{nkarta}{122} & \Tpi{nkarta}{219} \\ \Tpi{nkarta}{60} & \Tpi{nkarta}{123} & \Tpi{nkarta}{220} \\ \Tpi{nkarta}{61} & \Tpi{nkarta}{124} & \Tpi{nkarta}{221} \\ \Tpi{nkarta}{62} & \Tpi{nkarta}{125} & \Tpi{nkarta}{222} \\ \Tpi{nkarta}{63} & \Tpi{nkarta}{126} & \Tpi{nkarta}{223} \\ \Tpi{nkarta}{64} & \Tpi{nkarta}{161} & \Tpi{nkarta}{224} \\ \Tpi{nkarta}{65} & \Tpi{nkarta}{162} & \Tpi{nkarta}{225} \\ \Tpi{nkarta}{66} & \Tpi{nkarta}{163} & \Tpi{nkarta}{226} \\ \Tpi{nkarta}{67} & \Tpi{nkarta}{164} & \Tpi{nkarta}{227} \\ \Tpi{nkarta}{68} & \Tpi{nkarta}{165} & \Tpi{nkarta}{228} \\ \Tpi{nkarta}{69} & \Tpi{nkarta}{166} & \Tpi{nkarta}{229} \\ \Tpi{nkarta}{70} & \Tpi{nkarta}{167} & \Tpi{nkarta}{230} \\ \Tpi{nkarta}{71} & \Tpi{nkarta}{168} & \Tpi{nkarta}{231} \\ \Tpi{nkarta}{72} & \Tpi{nkarta}{169} & \Tpi{nkarta}{232} \\ \Tpi{nkarta}{73} & \Tpi{nkarta}{170} & \Tpi{nkarta}{233} \\ \Tpi{nkarta}{74} & \Tpi{nkarta}{171} & \Tpi{nkarta}{234} \\ \Tpi{nkarta}{75} & \Tpi{nkarta}{172} & \Tpi{nkarta}{235} \\ \Tpi{nkarta}{76} & \Tpi{nkarta}{173} & \Tpi{nkarta}{236} \\ \Tpi{nkarta}{77} & \Tpi{nkarta}{174} & \Tpi{nkarta}{237} \\ \Tpi{nkarta}{78} & \Tpi{nkarta}{175} & \Tpi{nkarta}{238} \\ \Tpi{nkarta}{79} & \Tpi{nkarta}{176} & \Tpi{nkarta}{239} \\ \Tpi{nkarta}{80} & \Tpi{nkarta}{177} & \Tpi{nkarta}{240} \\ \Tpi{nkarta}{81} & \Tpi{nkarta}{178} & \Tpi{nkarta}{241} \\ \Tpi{nkarta}{82} & \Tpi{nkarta}{179} & \Tpi{nkarta}{242} \\ \Tpi{nkarta}{83} & \Tpi{nkarta}{180} & \Tpi{nkarta}{243} \\ \Tpi{nkarta}{84} & \Tpi{nkarta}{181} & \Tpi{nkarta}{244} \\ \Tpi{nkarta}{85} & \Tpi{nkarta}{182} & \Tpi{nkarta}{245} \\ \Tpi{nkarta}{86} & \Tpi{nkarta}{183} & \Tpi{nkarta}{246} \\ \Tpi{nkarta}{87} & \Tpi{nkarta}{184} & \Tpi{nkarta}{247} \\ \Tpi{nkarta}{88} & \Tpi{nkarta}{185} & \Tpi{nkarta}{248} \\ \Tpi{nkarta}{89} & \Tpi{nkarta}{186} & \Tpi{nkarta}{249} \\ \Tpi{nkarta}{90} & \Tpi{nkarta}{187} & \Tpi{nkarta}{250} \\ \Tpi{nkarta}{91} & \Tpi{nkarta}{188} & \Tpi{nkarta}{251} \\ \Tpi{nkarta}{92} & \Tpi{nkarta}{189} & \Tpi{nkarta}{252} \\ \Tpi{nkarta}{93} & \Tpi{nkarta}{190} & \Tpi{nkarta}{253} \\ \Tpi{nkarta}{94} & \Tpi{nkarta}{191} & \Tpi{nkarta}{254} \\ \Tpi{nkarta}{95} & \Tpi{nkarta}{192} & \\ \end{longtable} \end{longsymtable} \begin{symtable}[MOON]{\MOON\ Astronomical Symbols} \idxboth{astronomical}{symbols} \idxboth{astrological}{symbols} \index{moon} \index{faces} \index{smiley faces} \label{moonphase} \begin{tabular}{*2{ll}} \Tpi{moonphase}{0} & \Tpi{moonphase}{2} \\ \Tpi{moonphase}{1} & \Tpi{moonphase}{3} \\ \end{tabular} \end{symtable} \begin{longsymtable}[ASTRO]{\ASTRO\ Astronomical Symbols} \ltidxboth{astronomical}{symbols} \ltidxboth{astrological}{symbols} \ltidxboth{zodiacal}{symbols} \ltindex{planets} \ltindex{moon} \ltindex{celestial bodies} \ltindex{male} \ltindex{female} \ltindex{faces} \ltindex{smiley faces} \label{astrosym} \begin{longtable}{*2{ll}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{astrosym}{0} & \Tpi{astrosym}{132} \\ \Tpi{astrosym}{1} & \Tpi{astrosym}{133} \\ \Tpi{astrosym}{2} & \Tpi{astrosym}{134} \\ \Tpi{astrosym}{3} & \Tpi{astrosym}{135} \\ \Tpi{astrosym}{4} & \Tpi{astrosym}{136} \\ \Tpi{astrosym}{5} & \Tpi{astrosym}{137} \\ \Tpi{astrosym}{6} & \Tpi{astrosym}{138} \\ \Tpi{astrosym}{7} & \Tpi{astrosym}{139} \\ \Tpi{astrosym}{8} & \Tpi{astrosym}{140} \\ \Tpi{astrosym}{9} & \Tpi{astrosym}{141} \\ \Tpi{astrosym}{10} & \Tpi{astrosym}{142} \\ \Tpi{astrosym}{11} & \Tpi{astrosym}{143} \\ \Tpi{astrosym}{12} & \Tpi{astrosym}{144} \\ \Tpi{astrosym}{13} & \Tpi{astrosym}{145} \\ \Tpi{astrosym}{14} & \Tpi{astrosym}{146} \\ \Tpi{astrosym}{15} & \Tpi{astrosym}{147} \\ \Tpi{astrosym}{16} & \Tpi{astrosym}{148} \\ \Tpi{astrosym}{17} & \Tpi{astrosym}{149} \\ \Tpi{astrosym}{18} & \Tpi{astrosym}{150} \\ \Tpi{astrosym}{19} & \Tpi{astrosym}{151} \\ \Tpi{astrosym}{20} & \Tpi{astrosym}{152} \\ \Tpi{astrosym}{21} & \Tpi{astrosym}{153} \\ \Tpi{astrosym}{22} & \Tpi{astrosym}{154} \\ \Tpi{astrosym}{23} & \Tpi{astrosym}{155} \\ \Tpi{astrosym}{24} & \Tpi{astrosym}{156} \\ \Tpi{astrosym}{25} & \Tpi{astrosym}{157} \\ \Tpi{astrosym}{26} & \Tpi{astrosym}{158} \\ \Tpi{astrosym}{27} & \Tpi{astrosym}{159} \\ \Tpi{astrosym}{28} & \Tpi{astrosym}{160} \\ \Tpi{astrosym}{29} & \Tpi{astrosym}{161} \\ \Tpi{astrosym}{30} & \Tpi{astrosym}{162} \\ \Tpi{astrosym}{31} & \Tpi{astrosym}{163} \\ \Tpi{astrosym}{32} & \Tpi{astrosym}{164} \\ \Tpi{astrosym}{33} & \Tpi{astrosym}{165} \\ \Tpi{astrosym}{34} & \Tpi{astrosym}{166} \\ \Tpi{astrosym}{35} & \Tpi{astrosym}{167} \\ \Tpi{astrosym}{36} & \Tpi{astrosym}{168} \\ \Tpi{astrosym}{37} & \Tpi{astrosym}{169} \\ \Tpi{astrosym}{38} & \Tpi{astrosym}{178} \\ \Tpi{astrosym}{39} & \Tpi{astrosym}{179} \\ \Tpi{astrosym}{40} & \Tpi{astrosym}{180} \\ \Tpi{astrosym}{41} & \Tpi{astrosym}{181} \\ \Tpi{astrosym}{42} & \Tpi{astrosym}{182} \\ \Tpi{astrosym}{43} & \Tpi{astrosym}{183} \\ \Tpi{astrosym}{44} & \Tpi{astrosym}{184} \\ \Tpi{astrosym}{45} & \Tpi{astrosym}{185} \\ \Tpi{astrosym}{46} & \Tpi{astrosym}{186} \\ \Tpi{astrosym}{47} & \Tpi{astrosym}{187} \\ \Tpi{astrosym}{48} & \Tpi{astrosym}{188} \\ \Tpi{astrosym}{49} & \Tpi{astrosym}{189} \\ \Tpi{astrosym}{50} & \Tpi{astrosym}{190} \\ \Tpi{astrosym}{51} & \Tpi{astrosym}{191} \\ \Tpi{astrosym}{52} & \Tpi{astrosym}{200} \\ \Tpi{astrosym}{53} & \Tpi{astrosym}{201} \\ \Tpi{astrosym}{54} & \Tpi{astrosym}{202} \\ \Tpi{astrosym}{55} & \Tpi{astrosym}{203} \\ \Tpi{astrosym}{56} & \Tpi{astrosym}{204} \\ \Tpi{astrosym}{57} & \Tpi{astrosym}{205} \\ \Tpi{astrosym}{58} & \Tpi{astrosym}{206} \\ \Tpi{astrosym}{59} & \Tpi{astrosym}{207} \\ \Tpi{astrosym}{60} & \Tpi{astrosym}{208} \\ \Tpi{astrosym}{61} & \Tpi{astrosym}{209} \\ \Tpi{astrosym}{62} & \Tpi{astrosym}{210} \\ \Tpi{astrosym}{63} & \Tpi{astrosym}{211} \\ \Tpi{astrosym}{64} & \Tpi{astrosym}{212} \\ \Tpi{astrosym}{65} & \Tpi{astrosym}{213} \\ \Tpi{astrosym}{66} & \Tpi{astrosym}{214} \\ \Tpi{astrosym}{67} & \Tpi{astrosym}{215} \\ \Tpi{astrosym}{68} & \Tpi{astrosym}{216} \\ \Tpi{astrosym}{69} & \Tpi{astrosym}{217} \\ \Tpi{astrosym}{90} & \Tpi{astrosym}{218} \\ \Tpi{astrosym}{91} & \Tpi{astrosym}{219} \\ \Tpi{astrosym}{92} & \Tpi{astrosym}{220} \\ \Tpi{astrosym}{93} & \Tpi{astrosym}{221} \\ \Tpi{astrosym}{94} & \Tpi{astrosym}{222} \\ \Tpi{astrosym}{95} & \Tpi{astrosym}{223} \\ \Tpi{astrosym}{100} & \Tpi{astrosym}{224} \\ \Tpi{astrosym}{101} & \Tpi{astrosym}{225} \\ \Tpi{astrosym}{102} & \Tpi{astrosym}{226} \\ \Tpi{astrosym}{103} & \Tpi{astrosym}{227} \\ \Tpi{astrosym}{104} & \Tpi{astrosym}{228} \\ \Tpi{astrosym}{105} & \Tpi{astrosym}{229} \\ \Tpi{astrosym}{106} & \Tpi{astrosym}{230} \\ \Tpi{astrosym}{107} & \Tpi{astrosym}{231} \\ \Tpi{astrosym}{108} & \Tpi{astrosym}{232} \\ \Tpi{astrosym}{109} & \Tpi{astrosym}{233} \\ \Tpi{astrosym}{110} & \Tpi{astrosym}{234} \\ \Tpi{astrosym}{111} & \Tpi{astrosym}{235} \\ \Tpi{astrosym}{112} & \Tpi{astrosym}{236} \\ \Tpi{astrosym}{113} & \Tpi{astrosym}{237} \\ \Tpi{astrosym}{114} & \Tpi{astrosym}{238} \\ \Tpi{astrosym}{115} & \Tpi{astrosym}{239} \\ \Tpi{astrosym}{116} & \Tpi{astrosym}{240} \\ \Tpi{astrosym}{117} & \Tpi{astrosym}{241} \\ \Tpi{astrosym}{118} & \Tpi{astrosym}{242} \\ \Tpi{astrosym}{119} & \Tpi{astrosym}{243} \\ \Tpi{astrosym}{120} & \Tpi{astrosym}{244} \\ \Tpi{astrosym}{121} & \Tpi{astrosym}{245} \\ \Tpi{astrosym}{122} & \Tpi{astrosym}{246} \\ \Tpi{astrosym}{123} & \Tpi{astrosym}{247} \\ \Tpi{astrosym}{124} & \Tpi{astrosym}{248} \\ \Tpi{astrosym}{125} & \Tpi{astrosym}{249} \\ \Tpi{astrosym}{126} & \Tpi{astrosym}{250} \\ \Tpi{astrosym}{127} & \Tpi{astrosym}{251} \\ \Tpi{astrosym}{128} & \Tpi{astrosym}{252} \\ \Tpi{astrosym}{129} & \Tpi{astrosym}{253} \\ \Tpi{astrosym}{130} & \Tpi{astrosym}{254} \\ \Tpi{astrosym}{131} & \Tpi{astrosym}{255} \\ \end{longtable} \end{longsymtable} \begin{longsymtable}[WEBO]{\WEBO\ Decorative Borders} \ltindex{fancy borders} \ltindex{decorative borders} \ltindex{borders} \ltindex{flowers} \ltindex{fleurons} \ltindex{leaves} \ltindex{ornaments} \label{webomints} \begin{longtable}{*2{ll}} \multicolumn{4}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{4}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{WebOMintsGD}{47} & \Tpi{WebOMintsGD}{87} \\ \Tpi{WebOMintsGD}{48} & \Tpi{WebOMintsGD}{88} \\ \Tpi{WebOMintsGD}{49} & \Tpi{WebOMintsGD}{89} \\ \Tpi{WebOMintsGD}{50} & \Tpi{WebOMintsGD}{90} \\ \Tpi{WebOMintsGD}{51} & \Tpi{WebOMintsGD}{91} \\ \Tpi{WebOMintsGD}{52} & \Tpi{WebOMintsGD}{93} \\ \Tpi{WebOMintsGD}{53} & \Tpi{WebOMintsGD}{97} \\ \Tpi{WebOMintsGD}{54} & \Tpi{WebOMintsGD}{98} \\ \Tpi{WebOMintsGD}{55} & \Tpi{WebOMintsGD}{99} \\ \Tpi{WebOMintsGD}{56} & \Tpi{WebOMintsGD}{100} \\ \Tpi{WebOMintsGD}{57} & \Tpi{WebOMintsGD}{101} \\ \Tpi{WebOMintsGD}{65} & \Tpi{WebOMintsGD}{102} \\ \Tpi{WebOMintsGD}{66} & \Tpi{WebOMintsGD}{103} \\ \Tpi{WebOMintsGD}{67} & \Tpi{WebOMintsGD}{104} \\ \Tpi{WebOMintsGD}{68} & \Tpi{WebOMintsGD}{105} \\ \Tpi{WebOMintsGD}{69} & \Tpi{WebOMintsGD}{106} \\ \Tpi{WebOMintsGD}{70} & \Tpi{WebOMintsGD}{107} \\ \Tpi{WebOMintsGD}{71} & \Tpi{WebOMintsGD}{108} \\ \Tpi{WebOMintsGD}{72} & \Tpi{WebOMintsGD}{109} \\ \Tpi{WebOMintsGD}{73} & \Tpi{WebOMintsGD}{110} \\ \Tpi{WebOMintsGD}{74} & \Tpi{WebOMintsGD}{111} \\ \Tpi{WebOMintsGD}{75} & \Tpi{WebOMintsGD}{112} \\ \Tpi{WebOMintsGD}{76} & \Tpi{WebOMintsGD}{113} \\ \Tpi{WebOMintsGD}{77} & \Tpi{WebOMintsGD}{114} \\ \Tpi{WebOMintsGD}{78} & \Tpi{WebOMintsGD}{115} \\ \Tpi{WebOMintsGD}{79} & \Tpi{WebOMintsGD}{116} \\ \Tpi{WebOMintsGD}{80} & \Tpi{WebOMintsGD}{117} \\ \Tpi{WebOMintsGD}{81} & \Tpi{WebOMintsGD}{118} \\ \Tpi{WebOMintsGD}{82} & \Tpi{WebOMintsGD}{119} \\ \Tpi{WebOMintsGD}{83} & \Tpi{WebOMintsGD}{120} \\ \Tpi{WebOMintsGD}{84} & \Tpi{WebOMintsGD}{121} \\ \Tpi{WebOMintsGD}{85} & \Tpi{WebOMintsGD}{122} \\ \Tpi{WebOMintsGD}{86} & \\ \end{longtable} \begin{tablenote} \WEBO\ provides a \filename{uwebo.fd} font-definition file. Instead of using \PI\ and \cmd{\Pisymbol} to typeset a glyph, a document can select the \WEBO\ font directly. For example, \verb|{\usefont{U}{webo}{xl}{n}\char73\char74}|---alternatively, \verb|{\usefont{U}{webo}{xl}{n}IJ}|---will typeset ``{\usefont{U}{webo}{xl}{n}\char73\char74}''. This can be useful for typesetting a number of \WEBO\ glyphs in a row. \niceframemessage{\WEBO}. \end{tablenote} \end{longsymtable} \begin{longsymtable}[UMRANDA]{\UMRANDA\ Decorative Borders} \ltidxboth{yin-yang}{symbols} \ltindex{fancy borders} \ltindex{decorative borders} \ltindex{borders} \ltindex{flowers} \ltindex{ornaments} \ltindex{fish} \ltindex{snakes} \ltindex{circles} \ltindex{ellipses (ovals)} \ltindex{ovals} \ltindex{squares} \ltindex{spirals} \label{umranda} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{umranda}{0} & \Tpi{umranda}{34} & \Tpi{umranda}{68} \\ \Tpi{umranda}{1} & \Tpi{umranda}{35} & \Tpi{umranda}{69} \\ \Tpi{umranda}{2} & \Tpi{umranda}{36} & \Tpi{umranda}{70} \\ \Tpi{umranda}{3} & \Tpi{umranda}{37} & \Tpi{umranda}{71} \\ \Tpi{umranda}{4} & \Tpi{umranda}{38} & \Tpi{umranda}{72} \\ \Tpi{umranda}{5} & \Tpi{umranda}{39} & \Tpi{umranda}{73} \\ \Tpi{umranda}{6} & \Tpi{umranda}{40} & \Tpi{umranda}{74} \\ \Tpi{umranda}{7} & \Tpi{umranda}{41} & \Tpi{umranda}{75} \\ \Tpi{umranda}{8} & \Tpi{umranda}{42} & \Tpi{umranda}{76} \\ \Tpi{umranda}{9} & \Tpi{umranda}{43} & \Tpi{umranda}{77} \\ \Tpi{umranda}{10} & \Tpi{umranda}{44} & \Tpi{umranda}{78} \\ \Tpi{umranda}{11} & \Tpi{umranda}{45} & \Tpi{umranda}{79} \\ \Tpi{umranda}{12} & \Tpi{umranda}{46} & \Tpi{umranda}{80} \\ \Tpi{umranda}{13} & \Tpi{umranda}{47} & \Tpi{umranda}{81} \\ \Tpi{umranda}{14} & \Tpi{umranda}{48} & \Tpi{umranda}{82} \\ \Tpi{umranda}{15} & \Tpi{umranda}{49} & \Tpi{umranda}{83} \\ \Tpi{umranda}{16} & \Tpi{umranda}{50} & \Tpi{umranda}{84} \\ \Tpi{umranda}{17} & \Tpi{umranda}{51} & \Tpi{umranda}{85} \\ \Tpi{umranda}{18} & \Tpi{umranda}{52} & \Tpi{umranda}{86} \\ \Tpi{umranda}{19} & \Tpi{umranda}{53} & \Tpi{umranda}{87} \\ \Tpi{umranda}{20} & \Tpi{umranda}{54} & \Tpi{umranda}{88} \\ \Tpi{umranda}{21} & \Tpi{umranda}{55} & \Tpi{umranda}{89} \\ \Tpi{umranda}{22} & \Tpi{umranda}{56} & \Tpi{umranda}{90} \\ \Tpi{umranda}{23} & \Tpi{umranda}{57} & \Tpi{umranda}{91} \\ \Tpi{umranda}{24} & \Tpi{umranda}{58} & \Tpi{umranda}{92} \\ \Tpi{umranda}{25} & \Tpi{umranda}{59} & \Tpi{umranda}{93} \\ \Tpi{umranda}{26} & \Tpi{umranda}{60} & \Tpi{umranda}{94} \\ \Tpi{umranda}{27} & \Tpi{umranda}{61} & \Tpi{umranda}{95} \\ \Tpi{umranda}{28} & \Tpi{umranda}{62} & \Tpi{umranda}{96} \\ \Tpi{umranda}{29} & \Tpi{umranda}{63} & \Tpi{umranda}{97} \\ \Tpi{umranda}{30} & \Tpi{umranda}{64} & \Tpi{umranda}{98} \\ \Tpi{umranda}{31} & \Tpi{umranda}{65} & \Tpi{umranda}{99} \\ \Tpi{umranda}{32} & \Tpi{umranda}{66} & \Tpi{umranda}{100} \\ \Tpi{umranda}{33} & \Tpi{umranda}{67} & \Tpi{umranda}{101} \\ \end{longtable} \begin{tablenote} \niceframemessage{\UMRANDA}. \end{tablenote} \end{longsymtable} \begin{longsymtable}[UMRANDB]{\UMRANDB\ Decorative Borders} \ltindex{fancy borders} \ltindex{decorative borders} \ltindex{borders} \label{umrandb} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{umrandb}{0} & \Tpi{umrandb}{42} & \Tpi{umrandb}{84} \\ \Tpi{umrandb}{1} & \Tpi{umrandb}{43} & \Tpi{umrandb}{85} \\ \Tpi{umrandb}{2} & \Tpi{umrandb}{44} & \Tpi{umrandb}{86} \\ \Tpi{umrandb}{3} & \Tpi{umrandb}{45} & \Tpi{umrandb}{87} \\ \Tpi{umrandb}{4} & \Tpi{umrandb}{46} & \Tpi{umrandb}{88} \\ \Tpi{umrandb}{5} & \Tpi{umrandb}{47} & \Tpi{umrandb}{89} \\ \Tpi{umrandb}{6} & \Tpi{umrandb}{48} & \Tpi{umrandb}{90} \\ \Tpi{umrandb}{7} & \Tpi{umrandb}{49} & \Tpi{umrandb}{91} \\ \Tpi{umrandb}{8} & \Tpi{umrandb}{50} & \Tpi{umrandb}{92} \\ \Tpi{umrandb}{9} & \Tpi{umrandb}{51} & \Tpi{umrandb}{93} \\ \Tpi{umrandb}{10} & \Tpi{umrandb}{52} & \Tpi{umrandb}{94} \\ \Tpi{umrandb}{11} & \Tpi{umrandb}{53} & \Tpi{umrandb}{95} \\ \Tpi{umrandb}{12} & \Tpi{umrandb}{54} & \Tpi{umrandb}{96} \\ \Tpi{umrandb}{13} & \Tpi{umrandb}{55} & \Tpi{umrandb}{97} \\ \Tpi{umrandb}{14} & \Tpi{umrandb}{56} & \Tpi{umrandb}{98} \\ \Tpi{umrandb}{15} & \Tpi{umrandb}{57} & \Tpi{umrandb}{99} \\ \Tpi{umrandb}{16} & \Tpi{umrandb}{58} & \Tpi{umrandb}{100} \\ \Tpi{umrandb}{17} & \Tpi{umrandb}{59} & \Tpi{umrandb}{101} \\ \Tpi{umrandb}{18} & \Tpi{umrandb}{60} & \Tpi{umrandb}{102} \\ \Tpi{umrandb}{19} & \Tpi{umrandb}{61} & \Tpi{umrandb}{103} \\ \Tpi{umrandb}{20} & \Tpi{umrandb}{62} & \Tpi{umrandb}{104} \\ \Tpi{umrandb}{21} & \Tpi{umrandb}{63} & \Tpi{umrandb}{105} \\ \Tpi{umrandb}{22} & \Tpi{umrandb}{64} & \Tpi{umrandb}{106} \\ \Tpi{umrandb}{23} & \Tpi{umrandb}{65} & \Tpi{umrandb}{107} \\ \Tpi{umrandb}{24} & \Tpi{umrandb}{66} & \Tpi{umrandb}{108} \\ \Tpi{umrandb}{25} & \Tpi{umrandb}{67} & \Tpi{umrandb}{109} \\ \Tpi{umrandb}{26} & \Tpi{umrandb}{68} & \Tpi{umrandb}{110} \\ \Tpi{umrandb}{27} & \Tpi{umrandb}{69} & \Tpi{umrandb}{111} \\ \Tpi{umrandb}{28} & \Tpi{umrandb}{70} & \Tpi{umrandb}{112} \\ \Tpi{umrandb}{29} & \Tpi{umrandb}{71} & \Tpi{umrandb}{113} \\ \Tpi{umrandb}{30} & \Tpi{umrandb}{72} & \Tpi{umrandb}{114} \\ \Tpi{umrandb}{31} & \Tpi{umrandb}{73} & \Tpi{umrandb}{115} \\ \Tpi{umrandb}{32} & \Tpi{umrandb}{74} & \Tpi{umrandb}{116} \\ \Tpi{umrandb}{33} & \Tpi{umrandb}{75} & \Tpi{umrandb}{117} \\ \Tpi{umrandb}{34} & \Tpi{umrandb}{76} & \Tpi{umrandb}{118} \\ \Tpi{umrandb}{35} & \Tpi{umrandb}{77} & \Tpi{umrandb}{119} \\ \Tpi{umrandb}{36} & \Tpi{umrandb}{78} & \Tpi{umrandb}{120} \\ \Tpi{umrandb}{37} & \Tpi{umrandb}{79} & \Tpi{umrandb}{121} \\ \Tpi{umrandb}{38} & \Tpi{umrandb}{80} & \Tpi{umrandb}{122} \\ \Tpi{umrandb}{39} & \Tpi{umrandb}{81} & \Tpi{umrandb}{123} \\ \Tpi{umrandb}{40} & \Tpi{umrandb}{82} & \\ \Tpi{umrandb}{41} & \Tpi{umrandb}{83} & \\ \end{longtable} \begin{tablenote} \niceframemessage{\UMRANDB}. \end{tablenote} \end{longsymtable} \begin{symtable}[ARK]{\ARK\ Decorative Borders} \index{fancy borders} \index{decorative borders} \index{borders} \index{flourishes} \label{dingbat} \begin{tabular}{*2{ll}} \Tpi{dingbat}{69} & \Tpi{dingbat}{97} \\ \Tpi{dingbat}{70} & \Tpi{dingbat}{98} \\ \Tpi{dingbat}{71} & \Tpi{dingbat}{99} \\ \Tpi{dingbat}{72} & \Tpi{dingbat}{100} \\ \Tpi{dingbat}{74} & \Tpi{dingbat}{101} \\ \Tpi{dingbat}{75} & \Tpi{dingbat}{102} \\ \Tpi{dingbat}{76} & \Tpi{dingbat}{103} \\ \Tpi{dingbat}{77} & \Tpi{dingbat}{104} \\ \end{tabular} \bigskip \begin{tablenote} The preceding table is incomplete in that it includes only unnamed \ARK\ symbols. Named symbols are included in \ref{ark-hands} and \ref{ark-misc} (both intermixed with symbols from the \texttt{ark10} font). The \ARK\ package includes a \filename{udingbat.fd} file so a document does not need to specify the \verb|\DeclareFontFamily| and \verb|\DeclareFontShape| commands list at the beginning of \ref{min-latex-support}. \niceframemessage{\ARK}. \end{tablenote} \end{symtable} \begin{longsymtable}[KNOT]{\KNOT\ Celtic Knots} \ltindex{knots} \ltindex{Celtic knots} \ltindex{fancy borders} \ltindex{decorative borders} \ltindex{borders} \ltindex{ornaments} \label{} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{knot1}{48} & \Tpi{knot1}{68} & \Tpi{knot1}{84} \\ \Tpi{knot1}{49} & \Tpi{knot1}{69} & \Tpi{knot1}{85} \\ \Tpi{knot1}{50} & \Tpi{knot1}{70} & \Tpi{knot1}{86} \\ \Tpi{knot1}{51} & \Tpi{knot1}{71} & \Tpi{knot1}{87} \\ \Tpi{knot1}{52} & \Tpi{knot1}{72} & \Tpi{knot1}{88} \\ \Tpi{knot1}{53} & \Tpi{knot1}{73} & \Tpi{knot1}{96} \\ \Tpi{knot1}{58} & \Tpi{knot1}{74} & \Tpi{knot1}{97} \\ \Tpi{knot1}{59} & \Tpi{knot1}{75} & \Tpi{knot1}{98} \\ \Tpi{knot1}{60} & \Tpi{knot1}{76} & \Tpi{knot1}{99} \\ \Tpi{knot1}{61} & \Tpi{knot1}{77} & \Tpi{knot1}{100} \\ \Tpi{knot1}{62} & \Tpi{knot1}{78} & \Tpi{knot1}{101} \\ \Tpi{knot1}{63} & \Tpi{knot1}{79} & \Tpi{knot1}{102} \\ \Tpi{knot1}{64} & \Tpi{knot1}{80} & \Tpi{knot1}{103} \\ \Tpi{knot1}{65} & \Tpi{knot1}{81} & \Tpi{knot1}{104} \\ \Tpi{knot1}{66} & \Tpi{knot1}{82} & \Tpi{knot1}{105} \\ \Tpi{knot1}{67} & \Tpi{knot1}{83} & \\[3ex] \Tpi{knot2}{48} & \Tpi{knot2}{68} & \Tpi{knot2}{84} \\ \Tpi{knot2}{49} & \Tpi{knot2}{69} & \Tpi{knot2}{85} \\ \Tpi{knot2}{50} & \Tpi{knot2}{70} & \Tpi{knot2}{86} \\ \Tpi{knot2}{51} & \Tpi{knot2}{71} & \Tpi{knot2}{87} \\ \Tpi{knot2}{52} & \Tpi{knot2}{72} & \Tpi{knot2}{88} \\ \Tpi{knot2}{53} & \Tpi{knot2}{73} & \Tpi{knot2}{96} \\ \Tpi{knot2}{58} & \Tpi{knot2}{74} & \Tpi{knot2}{97} \\ \Tpi{knot2}{59} & \Tpi{knot2}{75} & \Tpi{knot2}{98} \\ \Tpi{knot2}{60} & \Tpi{knot2}{76} & \Tpi{knot2}{99} \\ \Tpi{knot2}{61} & \Tpi{knot2}{77} & \Tpi{knot2}{100} \\ \Tpi{knot2}{62} & \Tpi{knot2}{78} & \Tpi{knot2}{101} \\ \Tpi{knot2}{63} & \Tpi{knot2}{79} & \Tpi{knot2}{102} \\ \Tpi{knot2}{64} & \Tpi{knot2}{80} & \Tpi{knot2}{103} \\ \Tpi{knot2}{65} & \Tpi{knot2}{81} & \Tpi{knot2}{104} \\ \Tpi{knot2}{66} & \Tpi{knot2}{82} & \Tpi{knot2}{105} \\ \Tpi{knot2}{67} & \Tpi{knot2}{83} & \\[3ex] \Tpi{knot3}{48} & \Tpi{knot3}{68} & \Tpi{knot3}{84} \\ \Tpi{knot3}{49} & \Tpi{knot3}{69} & \Tpi{knot3}{85} \\ \Tpi{knot3}{50} & \Tpi{knot3}{70} & \Tpi{knot3}{86} \\ \Tpi{knot3}{51} & \Tpi{knot3}{71} & \Tpi{knot3}{87} \\ \Tpi{knot3}{52} & \Tpi{knot3}{72} & \Tpi{knot3}{88} \\ \Tpi{knot3}{53} & \Tpi{knot3}{73} & \Tpi{knot3}{96} \\ \Tpi{knot3}{58} & \Tpi{knot3}{74} & \Tpi{knot3}{97} \\ \Tpi{knot3}{59} & \Tpi{knot3}{75} & \Tpi{knot3}{98} \\ \Tpi{knot3}{60} & \Tpi{knot3}{76} & \Tpi{knot3}{99} \\ \Tpi{knot3}{61} & \Tpi{knot3}{77} & \Tpi{knot3}{100} \\ \Tpi{knot3}{62} & \Tpi{knot3}{78} & \Tpi{knot3}{101} \\ \Tpi{knot3}{63} & \Tpi{knot3}{79} & \Tpi{knot3}{102} \\ \Tpi{knot3}{64} & \Tpi{knot3}{80} & \Tpi{knot3}{103} \\ \Tpi{knot3}{65} & \Tpi{knot3}{81} & \Tpi{knot3}{104} \\ \Tpi{knot3}{66} & \Tpi{knot3}{82} & \Tpi{knot3}{105} \\ \Tpi{knot3}{67} & \Tpi{knot3}{83} & \\[3ex] \Tpi{knot4}{48} & \Tpi{knot4}{68} & \Tpi{knot4}{84} \\ \Tpi{knot4}{49} & \Tpi{knot4}{69} & \Tpi{knot4}{85} \\ \Tpi{knot4}{50} & \Tpi{knot4}{70} & \Tpi{knot4}{86} \\ \Tpi{knot4}{51} & \Tpi{knot4}{71} & \Tpi{knot4}{87} \\ \Tpi{knot4}{52} & \Tpi{knot4}{72} & \Tpi{knot4}{88} \\ \Tpi{knot4}{53} & \Tpi{knot4}{73} & \Tpi{knot4}{96} \\ \Tpi{knot4}{58} & \Tpi{knot4}{74} & \Tpi{knot4}{97} \\ \Tpi{knot4}{59} & \Tpi{knot4}{75} & \Tpi{knot4}{98} \\ \Tpi{knot4}{60} & \Tpi{knot4}{76} & \Tpi{knot4}{99} \\ \Tpi{knot4}{61} & \Tpi{knot4}{77} & \Tpi{knot4}{100} \\ \Tpi{knot4}{62} & \Tpi{knot4}{78} & \Tpi{knot4}{101} \\ \Tpi{knot4}{63} & \Tpi{knot4}{79} & \Tpi{knot4}{102} \\ \Tpi{knot4}{64} & \Tpi{knot4}{80} & \Tpi{knot4}{103} \\ \Tpi{knot4}{65} & \Tpi{knot4}{81} & \Tpi{knot4}{104} \\ \Tpi{knot4}{66} & \Tpi{knot4}{82} & \Tpi{knot4}{105} \\ \Tpi{knot4}{67} & \Tpi{knot4}{83} & \\[3ex] \Tpi{knot5}{48} & \Tpi{knot5}{68} & \Tpi{knot5}{84} \\ \Tpi{knot5}{49} & \Tpi{knot5}{69} & \Tpi{knot5}{85} \\ \Tpi{knot5}{50} & \Tpi{knot5}{70} & \Tpi{knot5}{86} \\ \Tpi{knot5}{51} & \Tpi{knot5}{71} & \Tpi{knot5}{87} \\ \Tpi{knot5}{52} & \Tpi{knot5}{72} & \Tpi{knot5}{88} \\ \Tpi{knot5}{53} & \Tpi{knot5}{73} & \Tpi{knot5}{96} \\ \Tpi{knot5}{58} & \Tpi{knot5}{74} & \Tpi{knot5}{97} \\ \Tpi{knot5}{59} & \Tpi{knot5}{75} & \Tpi{knot5}{98} \\ \Tpi{knot5}{60} & \Tpi{knot5}{76} & \Tpi{knot5}{99} \\ \Tpi{knot5}{61} & \Tpi{knot5}{77} & \Tpi{knot5}{100} \\ \Tpi{knot5}{62} & \Tpi{knot5}{78} & \Tpi{knot5}{101} \\ \Tpi{knot5}{63} & \Tpi{knot5}{79} & \Tpi{knot5}{102} \\ \Tpi{knot5}{64} & \Tpi{knot5}{80} & \Tpi{knot5}{103} \\ \Tpi{knot5}{65} & \Tpi{knot5}{81} & \Tpi{knot5}{104} \\ \Tpi{knot5}{66} & \Tpi{knot5}{82} & \Tpi{knot5}{105} \\ \Tpi{knot5}{67} & \Tpi{knot5}{83} & \\[3ex] \Tpi{knot6}{48} & \Tpi{knot6}{68} & \Tpi{knot6}{84} \\ \Tpi{knot6}{49} & \Tpi{knot6}{69} & \Tpi{knot6}{85} \\ \Tpi{knot6}{50} & \Tpi{knot6}{70} & \Tpi{knot6}{86} \\ \Tpi{knot6}{51} & \Tpi{knot6}{71} & \Tpi{knot6}{87} \\ \Tpi{knot6}{52} & \Tpi{knot6}{72} & \Tpi{knot6}{88} \\ \Tpi{knot6}{53} & \Tpi{knot6}{73} & \Tpi{knot6}{96} \\ \Tpi{knot6}{58} & \Tpi{knot6}{74} & \Tpi{knot6}{97} \\ \Tpi{knot6}{59} & \Tpi{knot6}{75} & \Tpi{knot6}{98} \\ \Tpi{knot6}{60} & \Tpi{knot6}{76} & \Tpi{knot6}{99} \\ \Tpi{knot6}{61} & \Tpi{knot6}{77} & \Tpi{knot6}{100} \\ \Tpi{knot6}{62} & \Tpi{knot6}{78} & \Tpi{knot6}{101} \\ \Tpi{knot6}{63} & \Tpi{knot6}{79} & \Tpi{knot6}{102} \\ \Tpi{knot6}{64} & \Tpi{knot6}{80} & \Tpi{knot6}{103} \\ \Tpi{knot6}{65} & \Tpi{knot6}{81} & \Tpi{knot6}{104} \\ \Tpi{knot6}{66} & \Tpi{knot6}{82} & \Tpi{knot6}{105} \\ \Tpi{knot6}{67} & \Tpi{knot6}{83} & \\[3ex] \Tpi{knot7}{48} & \Tpi{knot7}{68} & \Tpi{knot7}{84} \\ \Tpi{knot7}{49} & \Tpi{knot7}{69} & \Tpi{knot7}{85} \\ \Tpi{knot7}{50} & \Tpi{knot7}{70} & \Tpi{knot7}{86} \\ \Tpi{knot7}{51} & \Tpi{knot7}{71} & \Tpi{knot7}{87} \\ \Tpi{knot7}{52} & \Tpi{knot7}{72} & \Tpi{knot7}{88} \\ \Tpi{knot7}{53} & \Tpi{knot7}{73} & \Tpi{knot7}{96} \\ \Tpi{knot7}{58} & \Tpi{knot7}{74} & \Tpi{knot7}{97} \\ \Tpi{knot7}{59} & \Tpi{knot7}{75} & \Tpi{knot7}{98} \\ \Tpi{knot7}{60} & \Tpi{knot7}{76} & \Tpi{knot7}{99} \\ \Tpi{knot7}{61} & \Tpi{knot7}{77} & \Tpi{knot7}{100} \\ \Tpi{knot7}{62} & \Tpi{knot7}{78} & \Tpi{knot7}{101} \\ \Tpi{knot7}{63} & \Tpi{knot7}{79} & \Tpi{knot7}{102} \\ \Tpi{knot7}{64} & \Tpi{knot7}{80} & \Tpi{knot7}{103} \\ \Tpi{knot7}{65} & \Tpi{knot7}{81} & \Tpi{knot7}{104} \\ \Tpi{knot7}{66} & \Tpi{knot7}{82} & \Tpi{knot7}{105} \\ \Tpi{knot7}{67} & \Tpi{knot7}{83} & \\[3ex] \end{longtable} \begin{tablenote} The following is an example of a basic knot, using \verb|\usefont{U}{knot|\meta{number}\verb|}{m}{n}| to change fonts for multiple characters instead of \cmd{\Pisymbol} to typeset one character at a time. Note that all of the characters in the \KNOT\ fonts lie conveniently within the range of printable \ascii\ characters. \begingroup \newcommand*{\kf}[1]{\usefont{U}{knot#1}{m}{n}} \renewcommand{\arraystretch}{0} \setlength{\tabcolsep}{0.25em} \qquad \begin{tabular}{@{} >{\ttfamily}c >{\kf1}c >{\kf2}c >{\kf3}c >{\kf4}c >{\kf5}c >{\kf6}c >{\kf7}c @{}} \multicolumn{1}{@{}c}{Input} & \multicolumn{1}{c}{\ttfamily knot1} & \multicolumn{1}{c}{\ttfamily knot2} & \multicolumn{1}{c}{\ttfamily knot3} & \multicolumn{1}{c}{\ttfamily knot4} & \multicolumn{1}{c}{\ttfamily knot5} & \multicolumn{1}{c}{\ttfamily knot6} & \multicolumn{1}{c@{}}{\ttfamily knot7} \\[1ex] CDB & CDB & CDB & CDB & CDB & CDB & CDB & CDB \\ FHG & FHG & FHG & FHG & FHG & FHG & FHG & FHG \\ @EA & @EA & @EA & @EA & @EA & @EA & @EA & @EA \\ \end{tabular} \endgroup \niceframemessage{\KNOT}, especially using characters~48--63 of each font variant. \end{tablenote} \end{longsymtable} \begin{longsymtable}[DANCE]{\DANCE\ Dancing Men} \ltindex{stick figures} \ltindex{dancing men} \ltindex{man} \label{dancers} \renewcommand{\arraystretch}{1.5} % Prevent tall symbols from touching. \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{dancers}{0} & \Tpi{dancers}{86} & \Tpi{dancers}{172} \\ \Tpi{dancers}{1} & \Tpi{dancers}{87} & \Tpi{dancers}{173} \\ \Tpi{dancers}{2} & \Tpi{dancers}{88} & \Tpi{dancers}{174} \\ \Tpi{dancers}{3} & \Tpi{dancers}{89} & \Tpi{dancers}{175} \\ \Tpi{dancers}{4} & \Tpi{dancers}{90} & \Tpi{dancers}{176} \\ \Tpi{dancers}{5} & \Tpi{dancers}{91} & \Tpi{dancers}{177} \\ \Tpi{dancers}{6} & \Tpi{dancers}{92} & \Tpi{dancers}{178} \\ \Tpi{dancers}{7} & \Tpi{dancers}{93} & \Tpi{dancers}{179} \\ \Tpi{dancers}{8} & \Tpi{dancers}{94} & \Tpi{dancers}{180} \\ \Tpi{dancers}{9} & \Tpi{dancers}{95} & \Tpi{dancers}{181} \\ \Tpi{dancers}{10} & \Tpi{dancers}{96} & \Tpi{dancers}{182} \\ \Tpi{dancers}{11} & \Tpi{dancers}{97} & \Tpi{dancers}{183} \\ \Tpi{dancers}{12} & \Tpi{dancers}{98} & \Tpi{dancers}{184} \\ \Tpi{dancers}{13} & \Tpi{dancers}{99} & \Tpi{dancers}{185} \\ \Tpi{dancers}{14} & \Tpi{dancers}{100} & \Tpi{dancers}{186} \\ \Tpi{dancers}{15} & \Tpi{dancers}{101} & \Tpi{dancers}{187} \\ \Tpi{dancers}{16} & \Tpi{dancers}{102} & \Tpi{dancers}{188} \\ \Tpi{dancers}{17} & \Tpi{dancers}{103} & \Tpi{dancers}{189} \\ \Tpi{dancers}{18} & \Tpi{dancers}{104} & \Tpi{dancers}{190} \\ \Tpi{dancers}{19} & \Tpi{dancers}{105} & \Tpi{dancers}{191} \\ \Tpi{dancers}{20} & \Tpi{dancers}{106} & \Tpi{dancers}{192} \\ \Tpi{dancers}{21} & \Tpi{dancers}{107} & \Tpi{dancers}{193} \\ \Tpi{dancers}{22} & \Tpi{dancers}{108} & \Tpi{dancers}{194} \\ \Tpi{dancers}{23} & \Tpi{dancers}{109} & \Tpi{dancers}{195} \\ \Tpi{dancers}{24} & \Tpi{dancers}{110} & \Tpi{dancers}{196} \\ \Tpi{dancers}{25} & \Tpi{dancers}{111} & \Tpi{dancers}{197} \\ \Tpi{dancers}{26} & \Tpi{dancers}{112} & \Tpi{dancers}{198} \\ \Tpi{dancers}{27} & \Tpi{dancers}{113} & \Tpi{dancers}{199} \\ \Tpi{dancers}{28} & \Tpi{dancers}{114} & \Tpi{dancers}{200} \\ \Tpi{dancers}{29} & \Tpi{dancers}{115} & \Tpi{dancers}{201} \\ \Tpi{dancers}{30} & \Tpi{dancers}{116} & \Tpi{dancers}{202} \\ \Tpi{dancers}{31} & \Tpi{dancers}{117} & \Tpi{dancers}{203} \\ \Tpi{dancers}{32} & \Tpi{dancers}{118} & \Tpi{dancers}{204} \\ \Tpi{dancers}{33} & \Tpi{dancers}{119} & \Tpi{dancers}{205} \\ \Tpi{dancers}{34} & \Tpi{dancers}{120} & \Tpi{dancers}{206} \\ \Tpi{dancers}{35} & \Tpi{dancers}{121} & \Tpi{dancers}{207} \\ \Tpi{dancers}{36} & \Tpi{dancers}{122} & \Tpi{dancers}{208} \\ \Tpi{dancers}{37} & \Tpi{dancers}{123} & \Tpi{dancers}{209} \\ \Tpi{dancers}{38} & \Tpi{dancers}{124} & \Tpi{dancers}{210} \\ \Tpi{dancers}{39} & \Tpi{dancers}{125} & \Tpi{dancers}{211} \\ \Tpi{dancers}{40} & \Tpi{dancers}{126} & \Tpi{dancers}{212} \\ \Tpi{dancers}{41} & \Tpi{dancers}{127} & \Tpi{dancers}{213} \\ \Tpi{dancers}{42} & \Tpi{dancers}{128} & \Tpi{dancers}{214} \\ \Tpi{dancers}{43} & \Tpi{dancers}{129} & \Tpi{dancers}{215} \\ \Tpi{dancers}{44} & \Tpi{dancers}{130} & \Tpi{dancers}{216} \\ \Tpi{dancers}{45} & \Tpi{dancers}{131} & \Tpi{dancers}{217} \\ \Tpi{dancers}{46} & \Tpi{dancers}{132} & \Tpi{dancers}{218} \\ \Tpi{dancers}{47} & \Tpi{dancers}{133} & \Tpi{dancers}{219} \\ \Tpi{dancers}{48} & \Tpi{dancers}{134} & \Tpi{dancers}{220} \\ \Tpi{dancers}{49} & \Tpi{dancers}{135} & \Tpi{dancers}{221} \\ \Tpi{dancers}{50} & \Tpi{dancers}{136} & \Tpi{dancers}{222} \\ \Tpi{dancers}{51} & \Tpi{dancers}{137} & \Tpi{dancers}{223} \\ \Tpi{dancers}{52} & \Tpi{dancers}{138} & \Tpi{dancers}{224} \\ \Tpi{dancers}{53} & \Tpi{dancers}{139} & \Tpi{dancers}{225} \\ \Tpi{dancers}{54} & \Tpi{dancers}{140} & \Tpi{dancers}{226} \\ \Tpi{dancers}{55} & \Tpi{dancers}{141} & \Tpi{dancers}{227} \\ \Tpi{dancers}{56} & \Tpi{dancers}{142} & \Tpi{dancers}{228} \\ \Tpi{dancers}{57} & \Tpi{dancers}{143} & \Tpi{dancers}{229} \\ \Tpi{dancers}{58} & \Tpi{dancers}{144} & \Tpi{dancers}{230} \\ \Tpi{dancers}{59} & \Tpi{dancers}{145} & \Tpi{dancers}{231} \\ \Tpi{dancers}{60} & \Tpi{dancers}{146} & \Tpi{dancers}{232} \\ \Tpi{dancers}{61} & \Tpi{dancers}{147} & \Tpi{dancers}{233} \\ \Tpi{dancers}{62} & \Tpi{dancers}{148} & \Tpi{dancers}{234} \\ \Tpi{dancers}{63} & \Tpi{dancers}{149} & \Tpi{dancers}{235} \\ \Tpi{dancers}{64} & \Tpi{dancers}{150} & \Tpi{dancers}{236} \\ \Tpi{dancers}{65} & \Tpi{dancers}{151} & \Tpi{dancers}{237} \\ \Tpi{dancers}{66} & \Tpi{dancers}{152} & \Tpi{dancers}{238} \\ \Tpi{dancers}{67} & \Tpi{dancers}{153} & \Tpi{dancers}{239} \\ \Tpi{dancers}{68} & \Tpi{dancers}{154} & \Tpi{dancers}{240} \\ \Tpi{dancers}{69} & \Tpi{dancers}{155} & \Tpi{dancers}{241} \\ \Tpi{dancers}{70} & \Tpi{dancers}{156} & \Tpi{dancers}{242} \\ \Tpi{dancers}{71} & \Tpi{dancers}{157} & \Tpi{dancers}{243} \\ \Tpi{dancers}{72} & \Tpi{dancers}{158} & \Tpi{dancers}{244} \\ \Tpi{dancers}{73} & \Tpi{dancers}{159} & \Tpi{dancers}{245} \\ \Tpi{dancers}{74} & \Tpi{dancers}{160} & \Tpi{dancers}{246} \\ \Tpi{dancers}{75} & \Tpi{dancers}{161} & \Tpi{dancers}{247} \\ \Tpi{dancers}{76} & \Tpi{dancers}{162} & \Tpi{dancers}{248} \\ \Tpi{dancers}{77} & \Tpi{dancers}{163} & \Tpi{dancers}{249} \\ \Tpi{dancers}{78} & \Tpi{dancers}{164} & \Tpi{dancers}{250} \\ \Tpi{dancers}{79} & \Tpi{dancers}{165} & \Tpi{dancers}{251} \\ \Tpi{dancers}{80} & \Tpi{dancers}{166} & \Tpi{dancers}{252} \\ \Tpi{dancers}{81} & \Tpi{dancers}{167} & \Tpi{dancers}{253} \\ \Tpi{dancers}{82} & \Tpi{dancers}{168} & \Tpi{dancers}{254} \\ \Tpi{dancers}{83} & \Tpi{dancers}{169} & \Tpi{dancers}{255} \\ \Tpi{dancers}{84} & \Tpi{dancers}{170} & \\ \Tpi{dancers}{85} & \Tpi{dancers}{171} & \\ \end{longtable} \begin{tablenote} Fans of \person{Sherlock}{Holmes} mysteries will recognize these glyphs as forming the substitution cipher featured in \person{Sir Arthur Conan}{Doyle}'s \emph{The Adventure of the Dancing Men} (1903). \end{tablenote} \end{longsymtable} \begin{longsymtable}[SEMA]{\SEMA\ Semaphore Alphabet} \ltindex{stick figures} \ltindex{man} \ltindex{flags} \ltidxboth{semaphore}{symbols} \label{semaphor} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{smfpr10}{34} & \Tpi{smfpr10}{116} & \Tpi{smfpr10}{184} \\ \Tpi{smfpr10}{35} & \Tpi{smfpr10}{117} & \Tpi{smfpr10}{185} \\ \Tpi{smfpr10}{36} & \Tpi{smfpr10}{118} & \Tpi{smfpr10}{186} \\ \Tpi{smfpr10}{42} & \Tpi{smfpr10}{119} & \Tpi{smfpr10}{187} \\ \Tpi{smfpr10}{46} & \Tpi{smfpr10}{120} & \Tpi{smfpr10}{192} \\ \Tpi{smfpr10}{48} & \Tpi{smfpr10}{121} & \Tpi{smfpr10}{193} \\ \Tpi{smfpr10}{49} & \Tpi{smfpr10}{122} & \Tpi{smfpr10}{194} \\ \Tpi{smfpr10}{50} & \Tpi{smfpr10}{126} & \Tpi{smfpr10}{195} \\ \Tpi{smfpr10}{51} & \Tpi{smfpr10}{128} & \Tpi{smfpr10}{196} \\ \Tpi{smfpr10}{52} & \Tpi{smfpr10}{129} & \Tpi{smfpr10}{197} \\ \Tpi{smfpr10}{53} & \Tpi{smfpr10}{130} & \Tpi{smfpr10}{199} \\ \Tpi{smfpr10}{54} & \Tpi{smfpr10}{131} & \Tpi{smfpr10}{200} \\ \Tpi{smfpr10}{55} & \Tpi{smfpr10}{132} & \Tpi{smfpr10}{201} \\ \Tpi{smfpr10}{56} & \Tpi{smfpr10}{133} & \Tpi{smfpr10}{202} \\ \Tpi{smfpr10}{57} & \Tpi{smfpr10}{134} & \Tpi{smfpr10}{203} \\ \Tpi{smfpr10}{65} & \Tpi{smfpr10}{135} & \Tpi{smfpr10}{204} \\ \Tpi{smfpr10}{66} & \Tpi{smfpr10}{136} & \Tpi{smfpr10}{205} \\ \Tpi{smfpr10}{67} & \Tpi{smfpr10}{137} & \Tpi{smfpr10}{206} \\ \Tpi{smfpr10}{68} & \Tpi{smfpr10}{138} & \Tpi{smfpr10}{207} \\ \Tpi{smfpr10}{69} & \Tpi{smfpr10}{139} & \Tpi{smfpr10}{209} \\ \Tpi{smfpr10}{70} & \Tpi{smfpr10}{140} & \Tpi{smfpr10}{210} \\ \Tpi{smfpr10}{71} & \Tpi{smfpr10}{142} & \Tpi{smfpr10}{211} \\ \Tpi{smfpr10}{72} & \Tpi{smfpr10}{143} & \Tpi{smfpr10}{212} \\ \Tpi{smfpr10}{73} & \Tpi{smfpr10}{144} & \Tpi{smfpr10}{213} \\ \Tpi{smfpr10}{74} & \Tpi{smfpr10}{145} & \Tpi{smfpr10}{214} \\ \Tpi{smfpr10}{75} & \Tpi{smfpr10}{146} & \Tpi{smfpr10}{216} \\ \Tpi{smfpr10}{76} & \Tpi{smfpr10}{147} & \Tpi{smfpr10}{217} \\ \Tpi{smfpr10}{77} & \Tpi{smfpr10}{148} & \Tpi{smfpr10}{218} \\ \Tpi{smfpr10}{78} & \Tpi{smfpr10}{149} & \Tpi{smfpr10}{219} \\ \Tpi{smfpr10}{79} & \Tpi{smfpr10}{150} & \Tpi{smfpr10}{220} \\ \Tpi{smfpr10}{80} & \Tpi{smfpr10}{151} & \Tpi{smfpr10}{221} \\ \Tpi{smfpr10}{81} & \Tpi{smfpr10}{152} & \Tpi{smfpr10}{224} \\ \Tpi{smfpr10}{82} & \Tpi{smfpr10}{153} & \Tpi{smfpr10}{225} \\ \Tpi{smfpr10}{83} & \Tpi{smfpr10}{154} & \Tpi{smfpr10}{226} \\ \Tpi{smfpr10}{84} & \Tpi{smfpr10}{155} & \Tpi{smfpr10}{227} \\ \Tpi{smfpr10}{85} & \Tpi{smfpr10}{157} & \Tpi{smfpr10}{228} \\ \Tpi{smfpr10}{86} & \Tpi{smfpr10}{158} & \Tpi{smfpr10}{229} \\ \Tpi{smfpr10}{87} & \Tpi{smfpr10}{160} & \Tpi{smfpr10}{231} \\ \Tpi{smfpr10}{88} & \Tpi{smfpr10}{161} & \Tpi{smfpr10}{232} \\ \Tpi{smfpr10}{89} & \Tpi{smfpr10}{162} & \Tpi{smfpr10}{233} \\ \Tpi{smfpr10}{90} & \Tpi{smfpr10}{163} & \Tpi{smfpr10}{234} \\ \Tpi{smfpr10}{97} & \Tpi{smfpr10}{164} & \Tpi{smfpr10}{235} \\ \Tpi{smfpr10}{98} & \Tpi{smfpr10}{165} & \Tpi{smfpr10}{236} \\ \Tpi{smfpr10}{99} & \Tpi{smfpr10}{166} & \Tpi{smfpr10}{237} \\ \Tpi{smfpr10}{100} & \Tpi{smfpr10}{167} & \Tpi{smfpr10}{238} \\ \Tpi{smfpr10}{101} & \Tpi{smfpr10}{168} & \Tpi{smfpr10}{239} \\ \Tpi{smfpr10}{102} & \Tpi{smfpr10}{169} & \Tpi{smfpr10}{241} \\ \Tpi{smfpr10}{103} & \Tpi{smfpr10}{170} & \Tpi{smfpr10}{242} \\ \Tpi{smfpr10}{104} & \Tpi{smfpr10}{171} & \Tpi{smfpr10}{243} \\ \Tpi{smfpr10}{105} & \Tpi{smfpr10}{172} & \Tpi{smfpr10}{244} \\ \Tpi{smfpr10}{106} & \Tpi{smfpr10}{174} & \Tpi{smfpr10}{245} \\ \Tpi{smfpr10}{107} & \Tpi{smfpr10}{175} & \Tpi{smfpr10}{246} \\ \Tpi{smfpr10}{108} & \Tpi{smfpr10}{176} & \Tpi{smfpr10}{248} \\ \Tpi{smfpr10}{109} & \Tpi{smfpr10}{177} & \Tpi{smfpr10}{249} \\ \Tpi{smfpr10}{110} & \Tpi{smfpr10}{178} & \Tpi{smfpr10}{250} \\ \Tpi{smfpr10}{111} & \Tpi{smfpr10}{179} & \Tpi{smfpr10}{251} \\ \Tpi{smfpr10}{112} & \Tpi{smfpr10}{180} & \Tpi{smfpr10}{252} \\ \Tpi{smfpr10}{113} & \Tpi{smfpr10}{181} & \Tpi{smfpr10}{253} \\ \Tpi{smfpr10}{114} & \Tpi{smfpr10}{182} & \\ \Tpi{smfpr10}{115} & \Tpi{smfpr10}{183} & \\ \end{longtable} \begin{tablenote} \SEMA\ provides a \filename{semaf.fd} font-definition file. Instead of using \PI\ and \cmd{\Pisymbol} to typeset a glyph, a document can select the \SEMA\ fonts directly, although this does require putting \verb|\input{semaf.fd}| in the document's preamble. For example, \verb|{\usefont{OT1}{smfp}{m}{n}Hello}| will typeset ``{\usefont{OT1}{smfp}{m}{n}Hello}''. This can be useful for typesetting complete messages. Roman, bold, monospace, slanted, and bold+slanted styles are all supported. In addition, \SEMA\ provides three variations of each font: a ``person'' version (\texttt{smfpr10}), which is what is illustrated in the preceding table, a ``pillar'' version (\texttt{smfr10}), which shows the flags on a pillar rather than being held by a person, and an ``empty'' version (\texttt{smfer10}), which shows only the flags and no pillar or person. Contrast these variations of the letter ``H'': \begin{center} \begin{tabular}{c*4{@{\quad}c}} \usefont{OT1}{smfp}{m}{n}\Huge H & vs. & \usefont{OT1}{smf}{m}{n}\Huge H & vs. & \usefont{OT1}{smfe}{m}{n}\Huge H \\[-1ex] \tiny (person) & & \tiny (pillar) & & \tiny (empty) \end{tabular} \end{center} \end{tablenote} \end{longsymtable} \begin{longsymtable}[CRYST]{\CRYST\ Crystallography Symbols} \ltidxboth{crystallography}{symbols} \ltidxboth{scientific}{symbols} \ltindex{polygons} \ltindex{rhombuses} \ltindex{circles} \ltindex{ellipses (ovals)} \ltindex{ovals} \ltindex{squares} \ltindex{triangles} \ltindex{parallelograms} \ltindex{geometric shapes} \ltindex{arrows} \ltindex{harpoons} \label{cryst} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{cryst}{0} & \Tpi{cryst}{63} & \Tpi{cryst}{138} \\ \Tpi{cryst}{2} & \Tpi{cryst}{64} & \Tpi{cryst}{139} \\ \Tpi{cryst}{3} & \Tpi{cryst}{65} & \Tpi{cryst}{140} \\ \Tpi{cryst}{4} & \Tpi{cryst}{66} & \Tpi{cryst}{141} \\ \Tpi{cryst}{5} & \Tpi{cryst}{75} & \Tpi{cryst}{142} \\ \Tpi{cryst}{6} & \Tpi{cryst}{77} & \Tpi{cryst}{143} \\ \Tpi{cryst}{7} & \Tpi{cryst}{78} & \Tpi{cryst}{145} \\ \Tpi{cryst}{8} & \Tpi{cryst}{79} & \Tpi{cryst}{147} \\ \Tpi{cryst}{9} & \Tpi{cryst}{80} & \Tpi{cryst}{148} \\ \Tpi{cryst}{10} & \Tpi{cryst}{81} & \Tpi{cryst}{149} \\ \Tpi{cryst}{12} & \Tpi{cryst}{82} & \Tpi{cryst}{155} \\ \Tpi{cryst}{15} & \Tpi{cryst}{83} & \Tpi{cryst}{157} \\ \Tpi{cryst}{20} & \Tpi{cryst}{84} & \Tpi{cryst}{158} \\ \Tpi{cryst}{21} & \Tpi{cryst}{85} & \Tpi{cryst}{159} \\ \Tpi{cryst}{22} & \Tpi{cryst}{87} & \Tpi{cryst}{175} \\ \Tpi{cryst}{24} & \Tpi{cryst}{88} & \Tpi{cryst}{177} \\ \Tpi{cryst}{25} & \Tpi{cryst}{89} & \Tpi{cryst}{178} \\ \Tpi{cryst}{27} & \Tpi{cryst}{95} & \Tpi{cryst}{179} \\ \Tpi{cryst}{28} & \Tpi{cryst}{97} & \Tpi{cryst}{185} \\ \Tpi{cryst}{29} & \Tpi{cryst}{98} & \Tpi{cryst}{187} \\ \Tpi{cryst}{30} & \Tpi{cryst}{99} & \Tpi{cryst}{188} \\ \Tpi{cryst}{31} & \Tpi{cryst}{102} & \Tpi{cryst}{189} \\ \Tpi{cryst}{32} & \Tpi{cryst}{103} & \Tpi{cryst}{195} \\ \Tpi{cryst}{35} & \Tpi{cryst}{104} & \Tpi{cryst}{197} \\ \Tpi{cryst}{36} & \Tpi{cryst}{105} & \Tpi{cryst}{198} \\ \Tpi{cryst}{37} & \Tpi{cryst}{107} & \Tpi{cryst}{199} \\ \Tpi{cryst}{38} & \Tpi{cryst}{108} & \Tpi{cryst}{202} \\ \Tpi{cryst}{39} & \Tpi{cryst}{109} & \Tpi{cryst}{203} \\ \Tpi{cryst}{40} & \Tpi{cryst}{112} & \Tpi{cryst}{204} \\ \Tpi{cryst}{41} & \Tpi{cryst}{113} & \Tpi{cryst}{210} \\ \Tpi{cryst}{42} & \Tpi{cryst}{120} & \Tpi{cryst}{212} \\ \Tpi{cryst}{43} & \Tpi{cryst}{121} & \Tpi{cryst}{213} \\ \Tpi{cryst}{44} & \Tpi{cryst}{123} & \Tpi{cryst}{220} \\ \Tpi{cryst}{45} & \Tpi{cryst}{124} & \Tpi{cryst}{221} \\ \Tpi{cryst}{47} & \Tpi{cryst}{125} & \Tpi{cryst}{223} \\ \Tpi{cryst}{48} & \Tpi{cryst}{127} & \Tpi{cryst}{224} \\ \Tpi{cryst}{49} & \Tpi{cryst}{128} & \Tpi{cryst}{230} \\ \Tpi{cryst}{50} & \Tpi{cryst}{129} & \Tpi{cryst}{231} \\ \Tpi{cryst}{55} & \Tpi{cryst}{130} & \Tpi{cryst}{232} \\ \Tpi{cryst}{57} & \Tpi{cryst}{131} & \Tpi{cryst}{233} \\ \Tpi{cryst}{58} & \Tpi{cryst}{132} & \Tpi{cryst}{236} \\ \Tpi{cryst}{59} & \Tpi{cryst}{133} & \Tpi{cryst}{240} \\ \Tpi{cryst}{60} & \Tpi{cryst}{135} & \Tpi{cryst}{241} \\ \Tpi{cryst}{61} & \Tpi{cryst}{136} & \Tpi{cryst}{242} \\ \Tpi{cryst}{62} & \Tpi{cryst}{137} & \Tpi{cryst}{243} \\ \end{longtable} \end{longsymtable} \begin{symtable}[DICE]{\DICE\ Dice} \index{dice} \idxboth{game-related}{symbols} \label{dice3d} \begin{tabular}{*3{ll}} \Tpi{dice3d}{49} & \Tpi{dice3d}{101} & \Tpi{dice3d}{111} \\ \Tpi{dice3d}{50} & \Tpi{dice3d}{102} & \Tpi{dice3d}{112} \\ \Tpi{dice3d}{51} & \Tpi{dice3d}{103} & \Tpi{dice3d}{113} \\ \Tpi{dice3d}{52} & \Tpi{dice3d}{104} & \Tpi{dice3d}{114} \\ \Tpi{dice3d}{53} & \Tpi{dice3d}{105} & \Tpi{dice3d}{115} \\ \Tpi{dice3d}{54} & \Tpi{dice3d}{106} & \Tpi{dice3d}{116} \\ \Tpi{dice3d}{97} & \Tpi{dice3d}{107} & \Tpi{dice3d}{117} \\ \Tpi{dice3d}{98} & \Tpi{dice3d}{108} & \Tpi{dice3d}{118} \\ \Tpi{dice3d}{99} & \Tpi{dice3d}{109} & \Tpi{dice3d}{119} \\ \Tpi{dice3d}{100} & \Tpi{dice3d}{110} & \Tpi{dice3d}{120} \\ \end{tabular} \bigskip \begin{tablenote} \DICE\ defines its symbols at a very small design size. The glyphs shown above were scaled up by a factor of four using \verb|\DeclareFontShape{U}{dice3d}{m}{n}{<->| \texttt{\textcolor{blue}{s*[4]}} \verb|dice3d}{}|. An alternative to using \cmd{\Pisymbol} to select a die rotation is to rely on some cleverness in the kerning tables provided by the \DICE\ font. The individual digits ``1'' through ``6'' each produce the corresponding (2D) die face: \verb|{\usefont{U}{dice3d}{m}{n}2 2 1}| produces ``{\usefont{U}{dice3d}{m}{n}2 2 1}'', for example. When followed by a letter ``a'' through ``d'', those pairs are kerned to produce a 3D die rotation with the digit specifying by the top face and the letter specifying one of the four possible front faces, sorted by increasing value. For example, \verb|{\usefont{U}{dice3d}{m}{n}2a 2b 1d}| produces ``{\usefont{U}{dice3d}{m}{n}2a 2b 1d}''. \end{tablenote} \end{symtable} \begin{symtable}[MAGIC]{\MAGIC\ Trading Card Symbols} \index{Wizards of the Coast} \index{Magic: The Gathering symbols=\emph{Magic: The Gathering} symbols} \index{symbols>Magic: The Gathering symbols=\emph{Magic: The Gathering}} \index{trees} \index{skulls} \index{raindrop} \index{sun} \idxboth{game-related}{symbols} \idxboth{circled}{numerals} \label{magic} \begin{tabular}{*3{ll}} \Tpi{magic}{48} & \Tpi{magic}{54} & \Tpi{magic}{82} \\ \Tpi{magic}{49} & \Tpi{magic}{55} & \Tpi{magic}{84} \\ \Tpi{magic}{50} & \Tpi{magic}{56} & \Tpi{magic}{85} \\ \Tpi{magic}{51} & \Tpi{magic}{57} & \Tpi{magic}{87} \\ \Tpi{magic}{52} & \Tpi{magic}{66} & \Tpi{magic}{88} \\ \Tpi{magic}{53} & \Tpi{magic}{71} & \Tpi{magic}{90} \\ \end{tabular} \bigskip \begin{tablenote} The preceding symbols resemble those from Wizards of the Coast's \emph{Magic: The Gathering} trading-card game. An alternative to entering symbols numerically using \cmd{\Pisymbol} is to switch to the \MAGIC\ font with \verb|\usefont{U}{magic}{m}{n}| and employ the following mnemonic characters: \def\mchar#1{\usefont{U}{magic}{m}{n}#1 & #1} \qquad \begin{tabular}{@{}ccl@{}} {\usefont{U}{magic}{m}{n}0}--{\usefont{U}{magic}{m}{n}9} & 0--9 & Circled numerals 0--9 \\ \mchar{B} & Black magic symbol \\ \mchar{G} & Green magic symbol \\ \mchar{R} & Red magic symbol \\ \mchar{T} & Tap symbol (tilted ``T'' in a circle) \\ \mchar{U} & Blue magic symbol \\ \mchar{W} & White magic symbol \\ \mchar{X} & Circled ``X'' (for mana cost, e.g.,~Fireball) \\ \mchar{Z} & Circled ``10'' (for mana cost, e.g.,~Aladdin's Lamp) \\ \end{tabular} \end{tablenote} \end{symtable} \begin{longsymtable}[BARTEL]{\BARTEL\ Chess Pieces and Chessboard Squares} \ltindex{bishop} \ltindex{castle} \ltindex{king} \ltindex{knight} \ltindex{pawn} \ltindex{queen} \ltindex{rook} \ltidxboth{chess}{symbols} \ltidxboth{game-related}{symbols} \label{bartel} \begin{longtable}{*3{ll}} \multicolumn{6}{l}{\small\textit{(continued from previous page)}} \\[3ex] \endhead \endfirsthead \\[3ex] \multicolumn{6}{r}{\small\textit{(continued on next page)}} \endfoot \endlastfoot \Tpi{fselch}{0} & \Tpi{fselch}{55} & \Tpi{fselch}{110} \\ \Tpi{fselch}{1} & \Tpi{fselch}{56} & \Tpi{fselch}{111} \\ \Tpi{fselch}{2} & \Tpi{fselch}{57} & \Tpi{fselch}{112} \\ \Tpi{fselch}{3} & \Tpi{fselch}{58} & \Tpi{fselch}{113} \\ \Tpi{fselch}{4} & \Tpi{fselch}{59} & \Tpi{fselch}{114} \\ \Tpi{fselch}{5} & \Tpi{fselch}{60} & \Tpi{fselch}{115} \\ \Tpi{fselch}{6} & \Tpi{fselch}{61} & \Tpi{fselch}{116} \\ \Tpi{fselch}{7} & \Tpi{fselch}{62} & \Tpi{fselch}{117} \\ \Tpi{fselch}{8} & \Tpi{fselch}{63} & \Tpi{fselch}{118} \\ \Tpi{fselch}{9} & \Tpi{fselch}{64} & \Tpi{fselch}{119} \\ \Tpi{fselch}{10} & \Tpi{fselch}{65} & \Tpi{fselch}{120} \\ \Tpi{fselch}{11} & \Tpi{fselch}{66} & \Tpi{fselch}{121} \\ \Tpi{fselch}{12} & \Tpi{fselch}{67} & \Tpi{fselch}{122} \\ \Tpi{fselch}{13} & \Tpi{fselch}{68} & \Tpi{fselch}{123} \\ \Tpi{fselch}{14} & \Tpi{fselch}{69} & \Tpi{fselch}{124} \\ \Tpi{fselch}{15} & \Tpi{fselch}{70} & \Tpi{fselch}{125} \\ \Tpi{fselch}{16} & \Tpi{fselch}{71} & \Tpi{fselch}{126} \\ \Tpi{fselch}{17} & \Tpi{fselch}{72} & \Tpi{fselch}{127} \\ \Tpi{fselch}{18} & \Tpi{fselch}{73} & \Tpi{fselch}{128} \\ \Tpi{fselch}{19} & \Tpi{fselch}{74} & \Tpi{fselch}{129} \\ \Tpi{fselch}{20} & \Tpi{fselch}{75} & \Tpi{fselch}{130} \\ \Tpi{fselch}{21} & \Tpi{fselch}{76} & \Tpi{fselch}{131} \\ \Tpi{fselch}{22} & \Tpi{fselch}{77} & \Tpi{fselch}{132} \\ \Tpi{fselch}{23} & \Tpi{fselch}{78} & \Tpi{fselch}{133} \\ \Tpi{fselch}{24} & \Tpi{fselch}{79} & \Tpi{fselch}{134} \\ \Tpi{fselch}{25} & \Tpi{fselch}{80} & \Tpi{fselch}{135} \\ \Tpi{fselch}{26} & \Tpi{fselch}{81} & \Tpi{fselch}{136} \\ \Tpi{fselch}{27} & \Tpi{fselch}{82} & \Tpi{fselch}{137} \\ \Tpi{fselch}{28} & \Tpi{fselch}{83} & \Tpi{fselch}{138} \\ \Tpi{fselch}{29} & \Tpi{fselch}{84} & \Tpi{fselch}{139} \\ \Tpi{fselch}{30} & \Tpi{fselch}{85} & \Tpi{fselch}{140} \\ \Tpi{fselch}{31} & \Tpi{fselch}{86} & \Tpi{fselch}{141} \\ \Tpi{fselch}{32} & \Tpi{fselch}{87} & \Tpi{fselch}{142} \\ \Tpi{fselch}{33} & \Tpi{fselch}{88} & \Tpi{fselch}{143} \\ \Tpi{fselch}{34} & \Tpi{fselch}{89} & \Tpi{fselch}{144} \\ \Tpi{fselch}{35} & \Tpi{fselch}{90} & \Tpi{fselch}{145} \\ \Tpi{fselch}{36} & \Tpi{fselch}{91} & \Tpi{fselch}{151} \\ \Tpi{fselch}{37} & \Tpi{fselch}{92} & \Tpi{fselch}{157} \\ \Tpi{fselch}{38} & \Tpi{fselch}{93} & \Tpi{fselch}{163} \\ \Tpi{fselch}{39} & \Tpi{fselch}{94} & \Tpi{fselch}{169} \\ \Tpi{fselch}{40} & \Tpi{fselch}{95} & \Tpi{fselch}{175} \\ \Tpi{fselch}{41} & \Tpi{fselch}{96} & \Tpi{fselch}{180} \\ \Tpi{fselch}{42} & \Tpi{fselch}{97} & \Tpi{fselch}{186} \\ \Tpi{fselch}{43} & \Tpi{fselch}{98} & \Tpi{fselch}{192} \\ \Tpi{fselch}{44} & \Tpi{fselch}{99} & \Tpi{fselch}{198} \\ \Tpi{fselch}{45} & \Tpi{fselch}{100} & \Tpi{fselch}{204} \\ \Tpi{fselch}{46} & \Tpi{fselch}{101} & \Tpi{fselch}{210} \\ \Tpi{fselch}{47} & \Tpi{fselch}{102} & \Tpi{fselch}{216} \\ \Tpi{fselch}{48} & \Tpi{fselch}{103} & \Tpi{fselch}{222} \\ \Tpi{fselch}{49} & \Tpi{fselch}{104} & \Tpi{fselch}{228} \\ \Tpi{fselch}{50} & \Tpi{fselch}{105} & \Tpi{fselch}{234} \\ \Tpi{fselch}{51} & \Tpi{fselch}{106} & \Tpi{fselch}{240} \\ \Tpi{fselch}{52} & \Tpi{fselch}{107} & \Tpi{fselch}{246} \\ \Tpi{fselch}{53} & \Tpi{fselch}{108} & \\ \Tpi{fselch}{54} & \Tpi{fselch}{109} & \\ \end{longtable} \begin{tablenote} In addition to the \texttt{fselch} font showcased above, \BARTEL\ also provides a \texttt{pkelch} font which includes the same symbol set (minus some of the higher-numbered characters) but drawn in a slightly different style. \BARTEL\ provides the \texttt{fselch} and \texttt{pkelch} fonts in various sizes (optically scaled). See ``\latexE Font Selection''~\cite{fntguide} for advice on how to expose these sorts of fonts to \latex using \cmd{\DeclareFontFamily} and \cmd{\DeclareFontShape}. \end{tablenote} \end{longsymtable} \section{Additional Information} \label{addl-info} \realsubsections Unlike the previous sections of this document, \ref{addl-info} does not contain new symbol tables. Rather, it provides additional help in using the \doctitle. First, it draws attention to symbol names used by multiple packages. Next, it provides some guidelines for finding symbols and gives some examples regarding how to construct missing symbols out of existing ones. Then, it comments on the spacing surrounding symbols in math mode. After that, it presents an \ascii and Latin~1 quick-reference guide, showing how to enter all of the standard \ascii/Latin~1 symbols in \latex{}. And finally, it lists some statistics about this document itself. \subsection{Symbol Name Clashes} % Rather than create a rat's nest of \if statements, we keep the table % whole and have each symbol conditionally appear. \makeatletter \DeclareRobustCommand{\trysym}[1]{\@ifundefined{#1}{\mbox{\tiny N/A}}{\csname#1\endcsname}} \makeatother Unfortunately, a number of symbol names are not unique; they appear in more than one package. Depending on how the symbols are defined in each package, \latex{} will either output an error message or replace an earlier-defined symbol with a later-defined symbol. \vref{name-clashes} presents a selection of name clashes that appear in this document. \ifcomplete \else The symbol ``\trysym{NONEXISTENT}'' is used to indicate that the corresponding package was not available when \selftex was compiled. \fi \begin{nonsymtableL}{Symbol Name Clashes} \index{check marks} \label{name-clashes} \begin{tabular}{@{}lp{0.3em}cccccccccc@{}} \toprule Symbol && \latexE & \AMS & \ST & \WASY & \ABX & \MARV & \DING & \IFS & \ARK & \WIPA \\ \cmidrule(r){1-1}\cmidrule(l){3-12} % \cmdI[$\trysym{baro}$ vs.\ \trysym{WSUbaro}]{\baro} && & & $\trysym{baro}$ & & & & & & & \trysym{WSUbaro} \\ \cmdI[$\string\bigtriangledown$ vs.\ $\trysym{STbigtriangledown}$]{\bigtriangledown} && $\bigtriangledown$ & & $\trysym{STbigtriangledown}$ \\ \cmdI[$\string\bigtriangleup$ vs.\ $\trysym{STbigtriangleup}$]{\bigtriangleup} && $\bigtriangleup$ & & $\trysym{STbigtriangleup}$ \\ \cmdI[\trysym{checkmark} vs.\ \trysym{ARKcheckmark}]{\checkmark} && & \trysym{checkmark} & & & & & & & \trysym{ARKcheckmark} \\ \cmdI[\trysym{Circle} vs.\ \trysym{ifsCircle}]{\Circle} && & & & \trysym{Circle} & & & & \trysym{ifsCircle} \\ \cmdI[\trysym{Cross} vs.\ \trysym{dingCross} vs.\ \trysym{ifsCross}]{\Cross} && & & & & & \trysym{Cross} & \trysym{dingCross} & \trysym{ifsCross} \\ \cmdI[$\trysym{ggg}$ vs.\ $\trysym{ABXggg}$]{\ggg} && & $\trysym{ggg}$ & & & $\trysym{ABXggg}$ \\ \cmdI[\trysym{Letter} vs.\ \trysym{ifsLetter}]{\Letter} && & & & & & \trysym{Letter} & & \trysym{ifsLetter} \\ \cmdI[$\trysym{STlightning}$ vs.\ \trysym{WASYlightning}]{\lightning} && & & $\trysym{STlightning}$ & \trysym{WASYlightning} \\ \cmdI[\trysym{Lightning} vs.\ \trysym{ifsLightning}]{\Lightning} && & & & & & \trysym{Lightning} & & \trysym{ifsLightning} \\ \cmdI[$\trysym{lll}$ vs.\ $\trysym{ABXlll}$]{\lll} && & $\trysym{lll}$ & & & $\trysym{ABXlll}$ \\ \cmdI[\trysym{Square} vs.\ \trysym{dingSquare} vs.\ \trysym{ifsSquare}]{\Square} && & & & \trysym{Square} & & & \trysym{dingSquare} & \trysym{ifsSquare} \\ \index{sun}% \cmdI[\trysym{Sun} vs.\ \trysym{ifsSun} vs.\ $\trysym{ABXSun}$]{\Sun} && & & & & $\trysym{ABXSun}$ & \trysym{Sun} & & \trysym{ifsSun} \\ \cmdI[\trysym{TriangleDown} vs.\ \trysym{ifsTriangleDown}]{\TriangleDown} && & & & & & & \trysym{TriangleDown} & \trysym{ifsTriangleDown} \\ \cmdI[\trysym{TriangleUp} vs.\ \trysym{ifsTriangleUp}]{\TriangleUp} && & & & & & & \trysym{TriangleUp} & \trysym{ifsTriangleUp} \\ \bottomrule \end{tabular} \end{nonsymtableL} Using multiple symbols with the same name in the same document---or even merely loading conflicting symbol packages---can be tricky but, as evidenced by the existence of \ref{name-clashes}, not impossible. The general procedure is to load the first package, rename the conflicting symbols, and then load the second package. Examine the \latex{} source for this document (\selftex) for examples of this and other techniques for handling symbol conflicts. Note that \selftex's \cmd{\savesymbol} and \cmd{\restoresymbol} macros have been extracted into the \pkgname{savesym} package, which can be downloaded from \CTAN. \ifTX \TX\ and \PX\ redefine a huge number of symbols---essentially, all of the symbols defined by \pkgname{latexsym}, \TC, the various \AMS\ symbol sets, and \latexE\ itself. \ifABX Similarly, \ABX\ redefines a vast number of math symbols in an attempt to improve their look. The \TX, \PX, and \ABX\ conflicts \else The \TX\ and \PX\ conflicts \fi are not listed in \ref{name-clashes} because they are designed to be compatible with the symbols they replace. \vref{benign-clash} illustrates what ``compatible'' means in this context. \begin{nonsymtable}{Example of a Benign Name Clash} \label{benign-clash} \begin{tabular}{@{}lcc@{}} \toprule & Default & \TX \\ \multicolumn{1}{c}{\raisebox{1ex}[0pt][0pt]{Symbol}} & (\PSfont{Computer Modern}) & (\PSfont{Times Roman}) \\ \cmidrule(r){1-1}\cmidrule(l){2-3} \texttt{R} & \Huge R & {\fontfamily{txr}\selectfont \Huge R} \\ \cmdI{\textrecipe} & \Huge\textrecipe & {\fontfamily{txr}\selectfont \Huge\textrecipe} \\ \bottomrule \end{tabular} \end{nonsymtable} To use the new \TXPX\ symbols without altering the document's main font, merely reset the default font families back to their original values after loading one of those packages: \begin{verbatim} \renewcommand\rmdefault{cmr} \renewcommand\sfdefault{cmss} \renewcommand\ttdefault{cmtt} \end{verbatim} \fi % TX test \subsection{Resizing symbols} \label{resizing-symbols} Mathematical symbols listed in this document as ``variable-sized\idxboth{variable-sized}{symbols}'' are designed to stretch vertically. Each variable-sized\idxboth{variable-sized}{symbols} symbol comes in one or more basic sizes plus a variation comprising both stretchable and nonstretchable segments. \vref{var-sized-syms} presents the symbols \cmdX{\}} and \cmdX{\uparrow} in their default size, in their \cmd{\big}, \cmd{\Big}, \cmd{\bigg}, and \cmd{\Bigg} sizes, in an even larger size achieved using \cmd{\left}\slash\cmd{\right}, and---for contrast---in a large size achieved by changing the font size using \latexE's \cmd{\fontsize} command. Because the symbols shown belong to the \PSfont{Computer Modern} family, the \pkgname{type1cm} package needs to be loaded to support font sizes larger than 24.88\,pt. \begin{nonsymtable}{Sample resized delimiters} \idxboth{variable-sized}{symbols} \label{var-sized-syms} \newcommand{\maketall}[1]{\ensuremath{\left.\rule{0pt}{1.5cm}\right#1}} \newcommand{\makebig}[1]{\fontsize{3cm}{3cm}\selectfont\ensuremath{#1}} \begin{tabular}{@{}*8c@{}} \toprule Symbol & Default size & \cmd{\big} & \cmd{\Big} & \cmd{\bigg} & \cmd{\Bigg} & \cmd{\left}\,/\,\cmd{\right} & \cmd{\fontsize} \\ \midrule \verb|\}| & $\}$ & $\big\}$ & $\Big\}$ & $\bigg\}$ & $\Bigg\}$ & \maketall\} & \makebig\} \\ \verb|\uparrow| & $\uparrow$ & $\big\uparrow$ & $\Big\uparrow$ & $\bigg\uparrow$ & $\Bigg\uparrow$ & \maketall\uparrow & \makebig\uparrow \\ \bottomrule \end{tabular} \end{nonsymtable} Note how \cmd{\fontsize} makes the symbol wider and thicker. (The \pkgname{graphicx} package's \cmd{\scalebox} or \cmd{\resizebox} commands would produce a similar effect.) Also, the \cmd{\fontsize}-enlarged symbol is vertically centered relative to correspondingly large text, unlike the symbols enlarged using \cmd{\big} et al.\ or \cmd{\left}\slash\cmd{\right}, which all use the same math axis regardless of symbol size. However, \cmd{\fontsize} is not limited to mathematical delimiters. Also, \cmd{\scalebox} and \cmd{\resizebox} are more robust to poorly composed symbols (e.g.,~two symbols made to overlap by backspacing a fixed distance) but do not work with every \tex backend and will produce jagged symbols when scaling a bitmapped font. \ifhavemultirow All variable-sized delimiters are defined (by the corresponding \fileext{tfm} file) in terms of up to five segments, as illustrated by \vref{extensible-brace}. The top, middle, and bottom segments are of a fixed size. The top-middle and middle-bottom segments (which are constrained to be the same character) are repeated as many times as necessary to achieve the desired height. \begin{figure}[htbp] \centering \renewcommand{\arraystretch}{2} \newcommand{\cmexchar}{\usefont{OMX}{cmex}{m}{n}\selectfont\char} \newlength{\braceheight} \setlength{\braceheight}{6.5\baselineskip} \begin{tabular}{@{}ccl@{}} \multirow{5}*{$\left.\rule{0pt}{\braceheight}\right\} \longrightarrow$} & \cmexchar'71 & top \\ & \cmexchar'76 & top-middle (extensible) \\ & \cmexchar'75 & middle \\ & \cmexchar'76 & middle-bottom (extensible) \\ & \cmexchar'73 & bottom \\ \\ \end{tabular} \index{symbols>extensible} \caption{Implementation of variable-sized delimiters} \label{extensible-brace} \end{figure} \fi % havemultirow test \subsection{Where can I find the symbol for~\dots?} \label{combining-symbols} If you can't find some symbol you're looking for in this document, there are a few possible explanations: \begin{itemize} \item The symbol isn't intuitively named. As a few examples, \ifIFS the \IFS\ command to draw dice\index{dice} is ``\cmdI[\allCubes]{\Cube}''; \fi % IFS test a plus sign with a circle around it (``exclusive or''\index{exclusive or} to computer engineers) is ``\cmdX{\oplus}''; and lightning bolts in fonts designed by German speakers may have ``blitz'' in their names as in the \ULSY\ package. The moral of the story is to be creative with synonyms when searching the index. \item The symbol is defined by some package that I overlooked (or deemed unimportant). If there's some symbol package that you think should be included in the \doctitle, please send me e-mail at the address listed on the title page. \item The symbol isn't defined in any package whatsoever. \end{itemize} \ifcomplete Even in the last case, all is not lost. Sometimes, a symbol exists in a font, but there is no \latex{} binding for it. For example, the \postscript \PSfont{Symbol} font contains a ``\Pisymbol{psy}{191}''\index{arrows} symbol, which may be useful for representing a carriage\index{carriage return} return, but there is no package (as far as I know) for accessing that symbol. To produce an unnamed symbol, you need to switch to the font explicitly with \latexE's low-level font commands~\cite{fntguide} and use \tex's primitive \cmd{\char} command~\cite{Knuth:ct-a} to request a specific character number in the font. \ifLATMOD % Not covered by \ifcomplete For example, one can define a command to typeset a long~s\index{long s=long s (\LMlongs)}~(``\,\LMlongs\,'') using character~115 from the Latin Modern fonts in the TS1 \fntenc[TS1]:\footnote{Since January 2020, the \WASY\ package provides a \cmdI[\protect\longs]{\longs} symbol. See \ref{wasy-text}.} \begin{verbatim} \newcommand{\textlongs}{{% \fontencoding{TS1}\fontfamily{lmr}\selectfont\char115% }} \end{verbatim} \noindent Then, ``\verb|\textlongs| \verb|ucce\textlongs| \verb|sful|'' will produce ``\LMlongs ucce\LMlongs sful''---in the current font style (roman, italic, bold, etc.) \fi % LATMOD test \ifOTII % Not covered by \ifcomplete In fact, \cmd{\char} is not strictly necesssary in all cases; the character can often be entered symbolically. \index{sha=sha ({\fontencoding{OT2}\selectfont SH})|(} For example, the symbol for an impulse train or Tate-Shafarevich group (``{\fontencoding{OT2}\selectfont SH}'') is actually an uppercase \textit{sha} in the Cyrillic\index{alphabets>Cyrillic} alphabet. (Cyrillic is supported by the OT2 \fntenc[OT2], for instance). While a \textit{sha} can be defined numerically as ``\verb|{\fontencoding{OT2}|\linebreak[0]\verb|\selectfont|\cmd{\char}\verb|88}|'' it may be more intuitive to use the OT2 \fntenc[OT2]'s ``SH'' ligature: ``\verb|{\fontencoding{OT2}|\linebreak[0]\verb|\selectfont SH}|''\index{sha=sha ({\fontencoding{OT2}\selectfont SH})|)}. Another possibility is to use the T2A \fntenc[T2A]'s \cmdI[\enctwoA{\CYRSH}]{\CYRSH} command: ``\verb|{\fontencoding{T2A}|\linebreak[0]\verb|\selectfont|\linebreak[0]\verb|\CYRSH}|''. \fi % OTII test For the specific case of the U~\fntenc[U], which is used for symbol or ``pi''\index{pi fonts=``pi'' fonts}\index{fonts>pi=``pi''} fonts, the \pkgname{pifont} package defines a convenient \cmd{\Pisymbol} command. \cmd{\Pisymbol} typesets a specified character (by number) in a specified font family. For example, ``\cmd{\Pisymbol}\texttt{\string{psy\string}\string{191\string}}'' produces the aforementioned ``\Pisymbol{psy}{191}''\index{carriage return} symbol by typesetting character number~191 in the \texttt{psy} (\postscript \PSfont{Symbol}) font family. \subsubsection{Reflecting and rotating existing symbols} \mbox{}% % Force the \index commands into the paragraph proper. \index{symbols>reversed|(}% \index{symbols>rotated|(}% \index{symbols>upside-down|(}% \index{symbols>inverted|(}% \index{reversed symbols|(}% \index{rotated symbols|(}% \index{upside-down symbols|(}% \index{inverted symbols|(}% \DeclareRobustCommand{\irony}{\textsuperscript{\reflectbox{?}}}% \DeclareRobustCommand{\DEDEpartof}{\mathrel{\raisebox{0.45ex}{$\mathfrak{3}$}}}% \DeclareRobustCommand{\DEDEwholeof}{\mathrel{\reflectbox{$\DEDEpartof$}}}% A common request on \ctt is for a reversed or rotated version of an existing symbol. As a last resort, these effects can be achieved with the \pkgname{graphicx} (or \pkgname{graphics}) package's \cmd{\reflectbox} and \cmd{\rotatebox} macros. \newcommand{\definitedescription}{\rotatebox[origin=c]{180}{$\iota$}} For example, \verb|\textsuperscript{\reflectbox{?}}| produces an \href{http://en.wikipedia.org/wiki/Irony_mark}{irony mark}\index{irony mark=irony mark (\irony)}~(``\,\irony\,''), and \verb|\rotatebox[origin=c]{180}{$\iota$}| produces the definite-description\index{definite-description operator (\definitedescription)}\index{iota, upside-down} operator~(``\rotatebox[origin=c]{180}{$\iota$}''). As noted by \person{Marc}{Olschok} in a July~2011 post on \ctt, \href{http://www.gutenberg.org/}{Project Gutenberg}\index{Project Gutenberg} uses \cmd{\reflectbox} to typeset the part~(``$\DEDEpartof$\indexcommand[$\DEDEpartof$]{\partof}'') and whole~(``$\DEDEwholeof$\indexcommand[$\DEDEwholeof$]{\wholeof}'') relations used in Dedekind's\index{Dedekind, Richard} set notation: \begin{verbatim} \newcommand\partof{\mathrel{\raisebox{0.45ex}{$\mathfrak{3}$}}} \newcommand\wholeof{\mathrel{\reflectbox{$\partof$}}} \end{verbatim} The disadvantage of the \pkgname{graphicx}/\pkgname{graphics} approach is that not every \tex backend handles graphical transformations.\footnote{As an example, Xdvi\index{Xdvi} ignores both \cmd{\reflectbox} and \cmd{\rotatebox}.} Far better is to find a suitable font that contains the desired symbol in the correct orientation. For instance, if the \PHON\ package is available, then \verb|\textit{\riota}| will yield a backend-independent~``\textit{\riota}''. Similarly,\label{page:such-that} \TIPA's \cmdI{\textrevepsilon}~(``\textrevepsilon'') or \WIPA's \cmdI{\revepsilon}~(``\revepsilon'') may be used to express the mathematical notion of ``such\index{such that} that'' in a cleaner manner than with \cmd{\reflectbox} or \cmd{\rotatebox}.\footnote{More common symbols for representing ``such\index{such that} that'' include ``\texttt{|}'', ``\texttt{:}'', and ``\texttt{s.t.}''.} \index{symbols>reversed|)} \index{symbols>rotated|)} \index{symbols>upside-down|)} \index{symbols>inverted|)} \index{reversed symbols|)} \index{rotated symbols|)} \index{inverted symbols|)} \subsubsection{Joining and overlapping existing symbols} Symbols that do not exist in any font can sometimes be fabricated out of existing symbols. The \latexE{} source file \fontdefdtx contains a number of such definitions. For example, \cmdX{\models} (see \vref{rel}) is defined in that file with: \else Even in the last case, all is not lost. Sometimes, a symbol exists in a font, but there is no \latex{} binding for it. \subsubsection{Reflecting and rotating existing symbols} Rotated/reflected versions of an existing symbol can be produced using the \pkgname{graphicx} (or \pkgname{graphics}) package's \cmd{\reflectbox} and \cmd{\rotatebox} macros.\footnote{This should be used as a last resort. Not every \tex backend supports graphical transformations.} \subsubsection{Joining and overlapping existing symbols} If a symbol does not exist in any orientation in any font, it may be possible to fabricate it out of existing symbols. The \latexE{} source file \fontdefdtx contains a number of such definitions. For example, \cmdX{\models} (see \vref{rel}) is defined in that file with: \fi % Matches \ifcomplete ... \begin{verbatim} \def\models{\mathrel|\joinrel=} \end{verbatim} \noindent where \cmd{\mathrel} and \cmd{\joinrel} are used to control the horizontal spacing. \verb|\def| is the \tex primitive upon which \latex's \verb|\newcommand| is based. See \TeXbook for more information on all three of those commands. \newcommand{\ismodeledby}{\ensuremath{=\joinrel\mathrel|}} With some simple pattern-matching, one can easily define a backward \cmdX{\models} sign (``\ismodeledby''): \begin{verbatim} \def\ismodeledby{=\joinrel\mathrel|} \end{verbatim} \indexcommand[\string\ismodeledby]{\ismodeledby} In general, arrows/harpoons, horizontal lines (``='', ``-'', ``\cmdX{\relbar}'', and ``\cmdX{\Relbar}''), and the various math-extension characters can be combined creatively with miscellaneous other characters to produce a variety of new symbols. Of course, new symbols can be composed from \emph{any} set of existing characters. For instance, \latex defines \cmdX{\hbar} (``$\hbar$'') as a ``$\mathchar'26$'' character (\verb|\mathchar'26|) followed by a backspace of 9~math units (\verb|\mkern-9mu|), followed by the letter~``$h$'': \begin{verbatim} \def\hbar{{\mathchar'26\mkern-9muh}} \end{verbatim} \noindent We can just as easily define other barred\idxboth{barred}{letters} letters: \def\bbar{{\mathchar'26\mkern-9mu b}} \def\dbar{{\mathchar'26\mkern-12mu d}} \begin{verbatim} \def\bbar{{\mathchar'26\mkern-9mu b}} \def\dbar{{\mathchar'26\mkern-12mu d}} \end{verbatim} \noindent (The space after the ``mu'' is optional but is added for clarity.) \cmdX{\bbar} and \cmdX{\dbar} define ``$\bbar$'' and ``$\dbar$'', respectively. Note that \cmdX{\dbar} requires a greater backward math~kern than \cmdX{\bbar}; a $-9$\,mu~kern would have produced the less-attractive ``$\mathchar'26\mkern-9mu d$'' glyph. The \pkgname{amsmath} package provides \cmd{\overset} and \cmd{\underset} commands for placing one symbol respectively above or below another. For example, \verb|\overset{G}{\sim}|\footnote{\latex's \cmd{\stackrel} command is similar but is limited to placing a symbol above a binary relation.} produces ``$\overset{G}{\sim}$'' (sometimes used for ``equidecomposable\index{equidecomposable} with respect to~$G$''). \DeclareRobustCommand{\asterism}{\smash{% \raisebox{-.5ex}{% \setlength{\tabcolsep}{-.5pt}% \begin{tabular}{@{}cc@{}}% \multicolumn2c*\\[-2ex]*&*% \end{tabular}}}} Sometimes an ordinary \texttt{tabular} environment can be co-opted into juxtaposing existing symbols into a new symbol. Consider the following definition of \cmdI{\asterism}~(``\asterism'') from a June~2007 post to \ctt by \person{Peter}{Flynn}: \begin{verbatim} \newcommand{\asterism}{\smash{% \raisebox{-.5ex}{% \setlength{\tabcolsep}{-.5pt}% \begin{tabular}{@{}cc@{}}% \multicolumn2c*\\[-2ex]*&*% \end{tabular}}}} \end{verbatim} \noindent Note how the space between columns (\cmd{\tabcolsep}) and rows (\verb|\\[|\dots\verb|]|) is made negative to squeeze the asterisks closer together. \bigskip There is a \tex primitive called \cmd{\mathaccent} that centers one mathematical symbol atop another. For\label{page:dotcup} example, one can define \cmdX{\dotcup} (``\dotcup'')---the composition of a \cmdX{\cup} and a \cmdX{\cdot}---as follows: \begin{verbatim} \newcommand{\dotcup}{\ensuremath{\mathaccent\cdot\cup}} \end{verbatim} \noindent The catch is that \cmd{\mathaccent} requires the accent to be a ``math character''. That is, it must be a character in a math font as opposed to a symbol defined in terms of other symbols. See \TeXbook for more information. Another \tex primitive that is useful for composing symbols is \cmd{\vcenter}. \cmd{\vcenter} is conceptually similar to ``\verb|\begin{tabular}{l}|'' in \latex but takes a list of vertical material instead of \verb|\\|-separated rows. Also, it vertically centers the result on the math axis. (Many operators, such as ``$+$'' and ``$-$'' are also vertically centered on the math axis.) \person{Enrico}{Gregorio} posted the following symbol definition to \ctt in March~2004 in response to a query about an alternate way to denote equivalence: \newcommand*{\threesim}{% \mathrel{\vcenter{\offinterlineskip \hbox{$\sim$}\vskip-.35ex\hbox{$\sim$}\vskip-.35ex\hbox{$\sim$}}}} \begin{verbatim} \newcommand*{\threesim}{% \mathrel{\vcenter{\offinterlineskip \hbox{$\sim$}\vskip-.35ex\hbox{$\sim$}\vskip-.35ex\hbox{$\sim$}}}} \end{verbatim} \noindent The \cmdX{\threesim} symbol, which vertically centers three \cmdX{\sim}~(``$\sim$'') symbols with 0.35 $x$-heights of space between them, is rendered as ``$\threesim$''. \cmd{\offinterlineskip} is a macro that disables implicit interline spacing. Without it, \cmdX{\threesim} would have a full line of vertical spacing between each \cmdX{\sim}. Because of \cmd{\vcenter}, \cmdX{\threesim} aligns properly with other math operators: \mbox{$a \div b \threesim c \times d$}. \makeatletter \providecommand\barcirc{\mathpalette\@barred\circ} \def\@barred#1#2{\ooalign{\hfil$#1-$\hfil\cr\hfil$#1#2$\hfil\cr}} \newcommand\stst{^{\protect\barcirc}} \makeatother A related \latex command, borrowed from Plain \tex, is \cmd{\ooalign}. \cmd{\ooalign} vertically overlaps symbols and works both within and outside of math mode. Essentially, it creates a single-column \texttt{tabular} environment with zero vertical distance between rows. However, because it is based directly on \tex's \cmd{\ialign} primitive, \cmd{\ooalign} uses \tex's tabular syntax instead of \latex's (i.e.,~with \cmd{\cr} as the row terminator instead of \cmd{\\}). The following example of \cmd{\ooalign}, a macro that defines a standard-state\index{standard state} symbol~(\cmdX{\stst}, ``$\stst$'') as a superscripted Plimsoll\index{Plimsoll line} line~(\cmdX{\barcirc}, ``$\barcirc$''),% \ifST \footnote{While \cmdX{\barcirc} illustrates how to combine symbols using \cmd{\ooalign}, the \ST\ package's \cmdX{\minuso} command (\vref*{st-bin}) provides a similar glyph~(``$\minuso$'') as a single, indivisible symbol.} \fi % ST test is due to an October~2007 \ctt post by \person{Donald}{Arseneau}: \begin{verbatim} \makeatletter \providecommand\barcirc{\mathpalette\@barred\circ} \def\@barred#1#2{\ooalign{\hfil$#1-$\hfil\cr\hfil$#1#2$\hfil\cr}} \newcommand\stst{^{\protect\barcirc}} \makeatother \end{verbatim} In the preceding code, note the \cmd{\ooalign} call's use of \cmd{\hfil} to horizontally center a minus sign~(``$-$'') and a \cmdX{\circ}~(``$\circ$''). \DeclareRobustCommand{\suchthat}{% \mathrel{\ooalign{$\ni$\cr\kern-1pt$-$\kern-6.5pt$-$}}} As another example of \cmd{\ooalign}, consider the following code (due to \person{Enrico}{Gregorio} in a June~2007 post to \ctt) that overlaps a \cmdX{\ni}~(``$\ni$'') and two minus signs~(``$-$\kern-6.5pt$-$'') to produce ``$\suchthat$''\indexcommand[$\suchthat$]{\suchthat}% \ifcomplete , an obscure variation on the infrequently used ``\textrevepsilon'' symbol for ``such\index{such that} that''% discussed~\vpageref[above]{page:such-that}% \fi : \begin{verbatim} \newcommand{\suchthat}{% \mathrel{\ooalign{$\ni$\cr\kern-1pt$-$\kern-6.5pt$-$}}} \end{verbatim} The \pkgname{slashed} package, although originally designed for producing Feynman\index{Feynman slashed character notation} slashed-character\idxboth{slashed}{letters} notation, in fact facilitates the production of \emph{arbitrary} overlapped symbols. \ifhaveslashed \newcommand{\rqm}{{\declareslashed{}{\text{-}}{0.04}{0}{I}\slashed{I}}} The default behavior is to overwrite a given character with ``$/$''. For example, \cmd{\slashed}\verb|{D}| produces ``$\slashed{D}$''. However, the \cmd{\declareslashed} command provides the flexibility to specify the mathematical context of the composite character (operator, relation, punctuation, etc., as will be discussed in \ref{math-spacing}), the overlapping symbol, horizontal and vertical adjustments in symbol-relative units, and the character to be overlapped. Consider, for example, the symbol for reduced quadrupole moment~(``$\rqm$''). This can be declared as follows: \begin{verbatim} \newcommand{\rqm}{{% \declareslashed{}{\text{-}}{0.04}{0}{I}\slashed{I}}} \end{verbatim} \noindent \newcommand{\curlyarg}{\texttt{\char`\{}$\cdot$\texttt{\char`\}}}% \cmd{\declareslashed}\curlyarg\curlyarg\curlyarg\curlyarg\verb|{I}| affects the meaning of all subsequent \cmd{\slashed}\verb|{I}| commands in the same scope. The preceding definition of \cmdX{\rqm} therefore uses an extra set of curly braces to limit that scope to a single \cmd{\slashed}\verb|{I}|. In addition, \cmdX{\rqm} uses \pkgname{amstext}'s \cmd{\text} macro (described~\vpageref[below]{text-macro}) to make \cmd{\declareslashed} use a text-mode hyphen~(``-'') instead of a math-mode minus sign~(``$-$'') and to ensure that the hyphen scales properly in size in subscripts and superscripts. \fi % haveslashed See \pkgname{slashed}'s documentation (located in \hfilename{http://mirror.ctan.org/macros/latex/contrib/carlisle/slashed.sty}{slashed.sty} itself) for a detailed usage description of the \cmd{\slashed} and \cmd{\declareslashed} commands. Somewhat simpler than \pkgname{slashed} is the \pkgname{centernot} package. \pkgname{centernot} provides a single command, \cmd{\centernot}, which, like \cmd{\not}, puts a slash over the subsequent mathematical symbol. However, instead of putting the slash at a fixed location, \cmd{\centernot} centers the slash over its argument. \cmd{\centernot} might be used, for example, to create a ``does\index{does not imply} not imply'' symbol% \ifhavecenternot : \begin{center} \renewcommand{\arraystretch}{1.25}% \begin{tabular}{cl} $\not\Longrightarrow$ & \verb|\not\Longrightarrow| \\ \multicolumn{2}{c}{vs.} \\ $\centernot\Longrightarrow$ & \verb|\centernot\Longrightarrow| \\ \end{tabular} \end{center} \else . \fi % \havecenternot \seedocs{\pkgname{centernot}}. \subsubsection{Making new symbols work in superscripts and subscripts} \index{subscripts>new symbols used in|(} \index{superscripts>new symbols used in|(} \def\topbotatom#1{\hbox{\hbox to 0pt{$#1\bot$\hss}$#1\top$}} \newcommand*{\topbot}{\mathrel{\mathchoice{\topbotatom\displaystyle} {\topbotatom\textstyle} {\topbotatom\scriptstyle} {\topbotatom\scriptscriptstyle}}} To make composite symbols work properly within subscripts and superscripts, you may need to use \tex's \cmd{\mathchoice} primitive. \cmd{\mathchoice} evaluates one of four expressions, based on whether the current math style is display, text, script, or scriptscript. (See \TeXbook for a more complete description.) For example, the following \latex code---posted to \ctt by \person{Torsten}{Bronger}---composes a sub/superscriptable ``$\topbot$'' symbol out of \cmdX{\top} and \cmdX{\bot} (``$\top$'' and ``$\bot$''): \indexcommand[$\string\topbot$]{\topbot}% \indexcommand{\displaystyle}% \indexcommand{\textstyle}% \indexcommand{\scriptstyle}% \indexcommand{\scriptscriptstyle}% \label{code:topbot}% \begin{verbatim} \def\topbotatom#1{\hbox{\hbox to 0pt{$#1\bot$\hss}$#1\top$}} \newcommand*{\topbot}{\mathrel{\mathchoice{\topbotatom\displaystyle} {\topbotatom\textstyle} {\topbotatom\scriptstyle} {\topbotatom\scriptscriptstyle}}} \end{verbatim} \index{superscripts>new symbols used in|)} \index{subscripts>new symbols used in|)} \index{integrals|(} The following\label{dashint} is another example that uses \cmd{\mathchoice} to construct symbols in different math modes. The code defines a principal value integral symbol, which is an integral sign with a line through it. \indexcommand{\displaystyle}% \indexcommand{\textstyle}% \indexcommand{\scriptstyle}% \indexcommand{\scriptscriptstyle}% \begin{verbatim} \def\Xint#1{\mathchoice {\XXint\displaystyle\textstyle{#1}}% {\XXint\textstyle\scriptstyle{#1}}% {\XXint\scriptstyle\scriptscriptstyle{#1}}% {\XXint\scriptscriptstyle\scriptscriptstyle{#1}}% \!\int} \def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$} \vcenter{\hbox{$#2#3$}}\kern-.5\wd0}} \def\ddashint{\Xint=} \def\dashint{\Xint-} \end{verbatim} \noindent (The preceding code was taken verbatim from the UK \TeX{} Users Group FAQ at \url{http://www.tex.ac.uk/}.) \cmdI[$\string\dashint$]{\dashint} produces a single-dashed integral sign~(``$\dashint$''), while \cmdX{\ddashint} produces a double-dashed one~(``$\ddashint$''). The \verb|\Xint| macro defined above can also be used to generate a wealth of new integrals: \ifAMS ``$\Xint\circlearrowright$'' (\verb|\Xint\circlearrowright|), ``$\Xint\circlearrowleft$'' (\verb|\Xint\circlearrowleft|), ``$\Xint\subset$'' (\verb|\Xint\subset|), ``$\Xint\infty$''\index{infinity} (\verb|\Xint\infty|), and so forth. \else \verb|\Xint\circlearrowright|, \verb|\Xint\circlearrowleft|, \verb|\Xint\subset|, \verb|\Xint\infty|\index{infinity}, and so forth. \fi % AMS test \index{integrals|)} \newcommand\independent{\protect\mathpalette{\protect\independenT}{\perp}} \def\independenT#1#2{\mathrel{\rlap{$#1#2$}\mkern2mu{#1#2}}} \latexE provides a simple wrapper for \cmd{\mathchoice} that sometimes helps produce terser symbol definitions. The macro is called \cmd{\mathpalette} and it takes two arguments. \cmd{\mathpalette} invokes the first argument, passing it one of ``\cmd{\displaystyle}'', ``\cmd{\textstyle}'', ``\cmd{\scriptstyle}'', or ``\cmd{\scriptscriptstyle}'', followed by the second argument. \cmd{\mathpalette} is useful when a symbol macro must know which math style is currently in use (e.g.,~to set it explicitly within an \cmd{\mbox}). \person{Donald}{Arseneau} posted the following \cmd{\mathpalette}-based definition of a probabilistic-independence\index{probabilistic independence}\index{independence>probabilistic}\index{statistical independence}\index{independence>statistical} symbol~(``$\independent$'') to \ctt in June~2000: \begin{verbatim} \newcommand\independent{\protect\mathpalette{\protect\independenT}{\perp}} \def\independenT#1#2{\mathrel{\rlap{$#1#2$}\mkern2mu{#1#2}}} \end{verbatim} \noindent The \cmdX{\independent} macro uses \cmd{\mathpalette} to pass the \verb|\independenT| helper macro both the current math style and the \cmdX{\perp} symbol. \verb|\independenT| typesets \cmdX{\perp} in the current math style, moves two math units to the right, and finally typesets a second---overlapping---copy of \cmdX{\perp}, again in the current math style. \cmd{\rlap}, which enables text overlap, is described~\vpageref[later on this page]{desc:rlap}. \def\DHLhksqrt#1#2{\setbox0=\hbox{$#1\sqrt#2$}\dimen0=\ht0 \advance\dimen0-0.2\ht0 \setbox2=\hbox{\vrule height\ht0 depth -\dimen0}% {\box0\lower0.4pt\box2}} \newcommand{\hksqrt}[2][]{\mathpalette\DHLhksqrt{[#1]{#2\,}}} \index{sqrt=\verb+\sqrt+ ($\blackacc{\sqrt}$)|(} \begin{morespacing}{1pt} Some people like their square-root signs with a trailing ``hook'' (i.e.,~``$\!\hksqrt{~}$\,'') as this helps visually distinguish expressions like~``$\!\sqrt{3x}$\,'' from those like~``$\!\sqrt{3}x$''. In March 2002, \person{Dan}{Luecking} posted a \cmd{\mathpalette}-based definition of a hooked square-root symbol to \ctt. This code was subsequently refined by \person{Max}{Dohse} and \person{Scott}{Pakin} into the version shown below, which accepts a root as an optional argument, for consistency with \verb|\sqrt|. \end{morespacing} \Needspace*{5\baselineskip} \index{hksqrt=\verb+\hksqrt+ ($\blackacc{\hksqrt}$)}% \begin{verbatim} \newcommand{\hksqrt}[2][]{\mathpalette\DHLhksqrt{[#1]{#2\,}}} \def\DHLhksqrt#1#2{\setbox0=\hbox{$#1\sqrt#2$}\dimen0=\ht0 \advance\dimen0-0.2\ht0 \setbox2=\hbox{\vrule height\ht0 depth -\dimen0}% {\box0\lower0.4pt\box2}} \end{verbatim} \noindent Notice how \verb|\hksqrt| uses \cmd{\mathpalette} to pass the current math style (\cmd{\displaystyle}, \cmd{\textstyle}, etc.)\ to \verb|\DHLhksqrt| as argument~\verb|#1|. \verb|\DHLhksqrt| subsequently uses that style within an \verb|\hbox|. The rest of the code is simply using \tex primitives to position a hook of height 0.2~times the \verb|\sqrt| height at the right of the \verb|\sqrt|. See \TeXbook for more understanding of \tex ``boxes'' and ``dimens''. \index{sqrt=\verb+\sqrt+ ($\blackacc{\sqrt}$)|)} \index{arrows>double-headed, diagonal|(} \label{code:neswarrow}% \newcommand{\neswarrow}{\mathrel{\text{$\nearrow$\llap{$\swarrow$}}}} \newcommand{\nwsearrow}{\mathrel{\text{$\nwarrow$\llap{$\searrow$}}}} Sometimes, however, \pkgname{amstext}'s \cmd{\text}\label{text-macro} macro is all that is necessary to make composite symbols appear correctly in subscripts and superscripts, as in the following definitions of \cmdX{\neswarrow} (``$\neswarrow$'') and \cmdX{\nwsearrow} (``$\nwsearrow$''):\footnote{Note that if your goal is to typeset commutative\index{commutative diagrams} diagrams or pushout\index{pushout diagrams}\slash pullback\index{pullback diagrams} diagrams, then you should probably be using \xypic.} \indexcommand[$\string\nearrow$]{\nearrow} \indexcommand[$\string\swarrow$]{\swarrow} \indexcommand[$\string\nwarrow$]{\nwarrow} \indexcommand[$\string\searrow$]{\searrow} \begin{verbatim} \newcommand{\neswarrow}{\mathrel{\text{$\nearrow$\llap{$\swarrow$}}}} \newcommand{\nwsearrow}{\mathrel{\text{$\nwarrow$\llap{$\searrow$}}}} \end{verbatim} \noindent \cmd{\text} resembles \latex's \cmd{\mbox} command but shrinks its argument appropriately when used within a subscript or superscript. \cmd{\llap} (``left overlap'') and its counterpart, \cmd{\rlap}\label{desc:rlap} (``right overlap''), appear frequently when creating composite characters. \cmd{\llap} outputs its argument to the left of the current position, overlapping whatever text is already there. Similarly, \cmd{\rlap} overlaps whatever text would normally appear to the right of its argument. For example, ``\verb|A|\cmd{\llap}\verb|{B}|'' and ``\cmd{\rlap}\verb|{A}B|'' each produce ``A\llap{B}''. However, the result of the former is the width of ``A'', and the result of the latter is the width of ``B''---\cmd{\llap}\verb|{|\dots\verb|}| and \cmd{\rlap}\verb|{|\dots\verb|}| take up zero space. \index{arrows>double-headed, diagonal|)} In a June~2002 post to \ctt, \person{Donald}{Arseneau} presented a general macro for aligning an arbitrary number of symbols on their horizontal centers and vertical baselines: \indexcommand{\ialign}% \begin{verbatim} \makeatletter \def\moverlay{\mathpalette\mov@rlay} \def\mov@rlay#1#2{\leavevmode\vtop{% \baselineskip\z@skip \lineskiplimit-\maxdimen \ialign{\hfil$#1##$\hfil\cr#2\crcr}}} \makeatother \end{verbatim} \noindent The \cmd{\makeatletter} and \cmd{\makeatother} commands are needed to coerce \latex{} into accepting ``\texttt{@}'' as part of a macro name. \cmd{\moverlay} takes a list of symbols separated by \verb|\cr| (\tex's equivalent of \latex's \verb|\\|). For example, the \cmdX{\topbot} command defined \vpageref[above]{code:topbot} could have been expressed as ``\verb|\moverlay{\top\cr\bot}|'' and the \cmdX{\neswarrow} command defined \vpageref[above]{code:neswarrow} could have been expressed as ``\verb|\moverlay{\nearrow\cr\swarrow}|''.% \indexcommand[$\string\nearrow$]{\nearrow}% \indexcommand[$\string\swarrow$]{\swarrow} The basic concept behind \cmd{\moverlay}'s implementation is that \cmd{\moverlay} typesets the given symbols in a table that utilizes a zero \verb|\baselineskip|. This causes every row to be typeset at the same vertical position. See \TeXbook for explanations of the \tex primitives used by \cmd{\moverlay}. \ifx\TSElesssimslant\relax \else \bigskip \person{Steven B.}{Segletes} answered a question on \tex\ Stack Exchange, ``\href{https://tex.stackexchange.com/questions/429758/ams-inequalities-a-variant-of-gtrsim-and-lesssim}{AMS inequalities: a variant of \cmdX{\gtrsim} and \cmdX{\lesssim}}'' on typesetting \cmdX{\gtrsim}~(``$\gtrsim$'') and \cmdX{\lesssim}~(``$\lesssim$'') with the \cmdX{\sim} symbol slanted to match the angle of the greater-than/less-than sign. His solution incorporates the \pkgname{graphicx} package's \cmd{\rotatebox} for rotating the ``$\sim$'', the \pkgname{stackengine} package's \cmd{\stackengine} command for stacking two symbols on top of each other, and the \pkgname{scalerel} package's \cmd{\ThisStyle}, \cmd{\SavedStyle}, and \cmd{\LMex} commands for scaling the symbol based on the surrounding context. The following code due to Segletes defines the \cmdI[$\TSEgtrsimslant$]{\gtrsimslant}~(``$\TSEgtrsimslant$'') and \cmdI[$\TSElesssimslant$]{\lesssimslant}~(``$\TSElesssimslant$'') symbols:\footnote{The code as posted on \tex\ Stack Exchange named these \texttt{\string\vargtrsim} and \texttt{\string\varlesssim}. They are renamed here for naming consistency with symbols such as \cmdX{\geqslant}~(``$\geqslant$'').} \begin{verbatim} \newcommand\lesssimslant{\mathrel{\ensurestackMath{\ThisStyle{% \stackengine{-.4\LMex}{\SavedStyle<}{% \rotatebox{-25}{$\SavedStyle\sim$}}{U}{r}{F}{T}{S}}}}} \newcommand\gtrsimslant{\mathrel{\ensurestackMath{\ThisStyle{% \stackengine{-.4\LMex}{\SavedStyle>}{% \rotatebox{25}{$\SavedStyle\sim$}}{U}{l}{F}{T}{S}}}}} \end{verbatim} \fi % \TSElesssimslant \subsubsection{Modifying \latex-generated symbols} \index{dots (ellipses)|(} \index{ellipses (dots)|(} \index{dot symbols|(} \index{symbols>dot|(} Oftentimes, symbols composed in the \latexE source code can be modified with minimal effort to produce useful variations. For example, \fontdefdtx composes the \cmdX{\ddots} symbol (see \vref{dots}) out of three periods, raised~7\,pt., 4\,pt., and 1\,pt., respectively: \begin{verbatim} \def\ddots{\mathinner{\mkern1mu\raise7\p@ \vbox{\kern7\p@\hbox{.}}\mkern2mu \raise4\p@\hbox{.}\mkern2mu\raise\p@\hbox{.}\mkern1mu}} \end{verbatim} \noindent \cmd{\p@} is a \latexE{} shortcut for ``\texttt{pt}'' or ``\texttt{1.0pt}''. The remaining commands are defined in \TeXbook. To\label{revddots} draw a version of \cmdX{\ddots} with the dots going along the opposite diagonal, we merely have to reorder the \verb|\raise7\p@|, \verb|\raise4\p@|, and \verb|\raise\p@|: \begin{verbatim} \makeatletter \def\revddots{\mathinner{\mkern1mu\raise\p@ \vbox{\kern7\p@\hbox{.}}\mkern2mu \raise4\p@\hbox{.}\mkern2mu\raise7\p@\hbox{.}\mkern1mu}} \makeatother \end{verbatim} \makeatletter \def\revddots{\mathinner{\mkern1mu\raise\p@ \vbox{\kern7\p@\hbox{.}}\mkern2mu \raise4\p@\hbox{.}\mkern2mu\raise7\p@\hbox{.}\mkern1mu}} \makeatother \indexcommand[$\string\revddots$]{\revddots} \noindent \cmdX{\revddots} is essentially identical to the \MDOTS\ package's \ifMDOTS \cmdX{\iddots} \else \cmd{\iddots} \fi command or the \YH\ package's \ifYH \cmdX{\adots} \else \cmd{\adots} \fi command. \index{symbols>dot|)} \index{dot symbols|)} \index{ellipses (dots)|)} \index{dots (ellipses)|)} \subsubsection{Producing complex accents} \ifx\diatop\undefined % The following was copied verbatim from ipa.sty, from the wsuipa package. \def\diatop[#1|#2]{% {\setbox1=\hbox{#1{}}% diacritic mark \setbox2=\hbox{#2{}}% letter (the group {} in case it is a diacritic) \dimen0=\ifdim\wd1>\wd2\wd1\else\wd2\fi% compute the max width % the `natural height' of diacritics is 1ex; % \dimen1 is the shift upwards \dimen1=\ht2\advance\dimen1by-1ex% % center the diacritic mark on the width of the letter: \setbox1=\hbox to\dimen0{\hss#1{}\hss}% \leavevmode % force horizontal mode \rlap{\raise\dimen1\box1}% the raised diacritic mark \hbox to\dimen0{\hss#2\hss}% the letter }% }% \fi \index{accents|(} \index{accents>multiple per character} \index{multiple accents per character} Accents\label{multiple-accents} are a special case of combining existing symbols to make new symbols. While various tables in this document show how to add an accent to an existing symbol, some applications, such as transliterations from non-Latin alphabets, require \emph{multiple} accents per character. For instance, the creator of pdf\TeX\ writes his name as ``H\`an Th\diatop[\'|\^e]\index{Thanh, Han The=\thanhhanthe} Th\`anh''. The \pkgname[pkg=vntex]{dblaccnt} package enables \latex{} to stack accents, as in ``\verb|H\`an| \verb|Th\'{\^e}| \verb|Th\`anh|'' (albeit not in the OT1 \fntenc[OT1]). In addition, the \pkgname{wsuipa} package defines \cmd{\diatop} and \cmd{\diaunder} macros for putting one or more diacritics or accents above or below a given character. \ifTIPA\ifWIPA For example, \verb+\diaunder[{\diatop[\'|\=]}|+\linebreak[0]\verb+\textsubdot{r}]+ produces ``\diaunder[{\diatop[\'|\=]}|\textsubdot{r}]''. \fi\fi \seedocs{\pkgname{wsuipa}}. \index{accents>any character as} The \pkgname{accents} package facilitates the fabrication of accents in math mode. Its \cmd{\accentset} command enables \emph{any} character to be used as an accent. \ifACCENTS For instance, \cmd{\accentset}\verb+{+\cmdX{\star}\verb+}{f}+ produces ``$\accentset{\star}{f}\,$'' and \cmd{\accentset}\verb+{e}{X}+ produces ``$\accentset{e}{X}$''. \fi \cmd{\underaccent} does the same thing, but places the accent beneath the character. \ifACCENTS This enables constructs like \cmd{\underaccent}\verb+{+\cmdI[$\string\blackacc{\string\tilde}$]{\tilde}\verb+}{V}+, which produces ``$\underaccent{\tilde}{V}$''.\index{tilde} \fi \pkgname{accents} provides other accent-related features as well; see the documentation for more information. \index{accents|)} \subsubsection{Creating extensible symbols} \index{symbols>extensible|(} \index{extensible symbols, creating|(} A relatively simple example of creating extensible symbols stems from a \ctt post by \person{Donald}{Arseneau} (June~2003). The following code defines an equals sign that extends as far to the right as possible, just like \latex's \verb|\hrulefill| command: \makeatletter \def\equalsfill{$\m@th\mathord=\mkern-7mu \cleaders\hbox{$\!\mathord=\!$}\hfill \mkern-7mu\mathord=$} \makeatother \begin{verbatim} \makeatletter \def\equalsfill{$\m@th\mathord=\mkern-7mu \cleaders\hbox{$\!\mathord=\!$}\hfill \mkern-7mu\mathord=$} \makeatother \end{verbatim} \noindent \tex's \verb|\cleaders| and \verb|\hfill| primitives are the key to understanding \cmd{\equalsfill}'s extensibility. Essentially, \cmd{\equalsfill} repeats a box containing ``$=$'' plus some negative space until it fills the maximum available horizontal space. \cmd{\equalsfill} is intended to be used with \latex's \cmd{\stackrel} command, which stacks one mathematical expression (slightly reduced in size) atop another. Hence, ``\cmd{\stackrel}\verb|{a}{\rightarrow}|'' produces ``$\stackrel{a}{\rightarrow}$'' and ``X \cmd{\stackrel}\verb|{\text{definition}}{\hbox{|\cmd{\equalsfill}\verb|}}| Y'' produces ``$X \stackrel{\text{definition}}{\hbox{\equalsfill}} Y$''.\idxboth{definition}{symbols}\label{equalsfill-ex} \index{symbols>actuarial|(} \index{actuarial symbols|(} \index{symbols>annuity|(} \index{annuity symbols|(} \index{symbols>life insurance|(} \index{life-insurance symbols|(} \index{symbols>present value|(} \index{present-value symbols|(} If all that needs to extend are horizontal and vertical lines---as opposed to repeated symbols such as the ``$=$'' in the previous example---\latex's \verb|array| or \verb|tabular| environments may suffice. Consider the following code (due to a February~1999 \ctt post by \person{Donald}{Arseneau} and subsequent modifications by \person{Billy}{Yu} and \person{Scott}{Pakin}) for typesetting annuity and life-insurance symbols: \DeclareRobustCommand{\actuarial}[2][]{% \def\arraystretch{0}% \setlength\arraycolsep{0.5pt}% \setlength\arrayrulewidth{0.5pt}% \setbox0=\hbox{$\scriptstyle#1#2$}% \begin{array}[b]{*2{@{}>{\scriptstyle}c}|} \cline{2-2}% \rule[1.25pt]{0pt}{\ht0}% #1 & #2% \end{array}% } \begin{verbatim} \DeclareRobustCommand{\actuarial}[2][]{% \def\arraystretch{0}% \setlength\arraycolsep{0.5pt}% \setlength\arrayrulewidth{0.5pt}% \setbox0=\hbox{$\scriptstyle#1#2$}% \begin{array}[b]{*2{@{}>{\scriptstyle}c}|} \cline{2-2}% \rule[1.25pt]{0pt}{\ht0}% #1 & #2% \end{array}% } \end{verbatim} \noindent Using the preceding definition, one can type, e.g.,~``\verb|$a_{\actuarial{n}}$|'' to produce ``$a_{\actuarial{n}}$'' and ``\verb|$a_{\actuarial[x:]{n}}$|'' to produce ``$a_{\actuarial[x:]{n}}$''\indexaccent[$\string\blackacc\string\actuarial$]{\actuarial}. \ifACTANG This is similar in concept to how the \ACTANG\ package defines its \verb|\actuarialangle|\indexaccent{\actuarialangle} command (\ref{actuarialangle}). \fi % ACTANG test For a more complete solution for typesetting actuarial symbols see the \pkgname{actuarialsymbol} package. \index{symbols>actuarial|)} \index{actuarial symbols|)} \index{symbols>annuity|)} \index{annuity symbols|)} \index{symbols>life insurance|)} \index{life-insurance symbols|)} \index{symbols>present value|)} \index{present-value symbols|)} \index{accents|(} \index{extensible accents|(} \index{accents>extensible|(} A more complex example of composing accents is the following definition of extensible \cmdW{\overbracket}, \cmdW{\underbracket}, \cmdW{\overparenthesis}, and \cmdW{\underparenthesis} symbols, taken from a May~2002 \ctt post by \person{Donald}{Arseneau}: \indexcommand{\ialign}% \makeatletter \def\overbracket#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern3\p@} \DAdownbracketfill\crcr\noalign{\kern3\p@\nointerlineskip} $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits} \def\underbracket#1{\mathop{\vtop{\ialign{##\crcr $\hfil\displaystyle{#1}\hfil$\crcr\noalign{\kern3\p@\nointerlineskip} \DAupbracketfill\crcr\noalign{\kern3\p@}}}}\limits} \def\overparenthesis#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern3\p@} \downparenthfill\crcr\noalign{\kern3\p@\nointerlineskip} $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits} \def\underparenthesis#1{\mathop{\vtop{\ialign{##\crcr $\hfil\displaystyle{#1}\hfil$\crcr\noalign{\kern3\p@\nointerlineskip} \upparenthfill\crcr\noalign{\kern3\p@}}}}\limits} \def\downparenthfill{$\m@th\braceld\leaders\vrule\hfill\bracerd$} \def\upparenthfill{$\m@th\bracelu\leaders\vrule\hfill\braceru$} \def\DAupbracketfill{$\m@th\makesm@sh{\llap{\vrule\@height3\p@\@width.7\p@}}% \leaders\vrule\@height.7\p@\hfill \makesm@sh{\rlap{\vrule\@height3\p@\@width.7\p@}}$} \def\DAdownbracketfill{$\m@th \makesm@sh{\llap{\vrule\@height.7\p@\@depth2.3\p@\@width.7\p@}}% \leaders\vrule\@height.7\p@\hfill \makesm@sh{\rlap{\vrule\@height.7\p@\@depth2.3\p@\@width.7\p@}}$} \makeatother \indexcommand{\displaystyle}% \indexcommand{\ialign}% \begin{verbatim} \makeatletter \def\overbracket#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern3\p@} \downbracketfill\crcr\noalign{\kern3\p@\nointerlineskip} $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits} \def\underbracket#1{\mathop{\vtop{\ialign{##\crcr $\hfil\displaystyle{#1}\hfil$\crcr\noalign{\kern3\p@\nointerlineskip} \upbracketfill\crcr\noalign{\kern3\p@}}}}\limits} \def\overparenthesis#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern3\p@} \downparenthfill\crcr\noalign{\kern3\p@\nointerlineskip} $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits} \def\underparenthesis#1{\mathop{\vtop{\ialign{##\crcr $\hfil\displaystyle{#1}\hfil$\crcr\noalign{\kern3\p@\nointerlineskip} \upparenthfill\crcr\noalign{\kern3\p@}}}}\limits} \def\downparenthfill{$\m@th\braceld\leaders\vrule\hfill\bracerd$} \def\upparenthfill{$\m@th\bracelu\leaders\vrule\hfill\braceru$} \def\upbracketfill{$\m@th\makesm@sh{\llap{\vrule\@height3\p@\@width.7\p@}}% \leaders\vrule\@height.7\p@\hfill \makesm@sh{\rlap{\vrule\@height3\p@\@width.7\p@}}$} \def\downbracketfill{$\m@th \makesm@sh{\llap{\vrule\@height.7\p@\@depth2.3\p@\@width.7\p@}}% \leaders\vrule\@height.7\p@\hfill \makesm@sh{\rlap{\vrule\@height.7\p@\@depth2.3\p@\@width.7\p@}}$} \makeatother \end{verbatim} \noindent \ref{manual-extensible-accents} showcases these accents. \TeXbook or another book on \tex primitives is indispensible for understanding how the preceding code works. The basic idea is that \cmd{\downparenthfill}, \cmd{\upparenthfill}, \cmd{\downbracketfill}, and \cmd{\upbracketfill} do all of the work; they output a left symbol (e.g.,~\cmdX{\braceld} [``$\braceld$''] for \cmd{\downparenthfill}), a horizontal rule that stretches as wide as possible, and a right symbol (e.g.,~\cmdX{\bracerd} [``$\bracerd$''] for \cmd{\downparenthfill}). \cmdW{\overbracket}, \cmdW{\underbracket}, \cmdW{\overparenthesis}, and \cmdW{\underparenthesis} merely create a table whose width is determined by the given text, thereby constraining the width of the horizontal rules. \begin{nonsymtable}{Manually Composed Extensible Accents} \index{accents} \idxboth{extensible}{accents} \label{manual-extensible-accents} \renewcommand{\arraystretch}{1.75} \begin{tabular}{*2{ll}} \W\overbracket{abc} & \W\overparenthesis{abc} \\ \W\underbracket{abc} & \W\underparenthesis{abc} \\ \end{tabular} \end{nonsymtable} Note that the \pkgname{simplewick} package provides mechanisms for typesetting Wick\index{Wick contractions} contractions, which utilize \cmdW{\overbracket}- and \cmdW{\underbracket}-like brackets of variable width \emph{and} height (or depth). \ifhavesimplewick For example, ``\cmd{\acontraction}\verb|{}{A}{B}{C}|\linebreak[0]% \cmd{\acontraction}\verb|[2ex]{A}{B}{C}{D}|\linebreak[0]% \cmd{\bcontraction}\verb|{}{A}{BC}{D}|\linebreak[0]\verb|ABCD|'' produces \[ \acontraction{}{A}{B}{C} \acontraction[2ex]{A}{B}{C}{D} \bcontraction{}{A}{BC}{D} ABCD \qquad. \] \fi % simplewick test \seedocs{\pkgname{simplewick}}. \index{accents>extensible|)} \index{extensible accents|)} \index{accents|)} \index{symbols>extensible|)} \index{extensible symbols, creating|)} \subsubsection{Developing new symbols from scratch} Sometimes is it simply not possible to define a new symbol in terms of existing symbols. Fortunately, most, if not all, \tex distributions are shipped with a tool called \metafont which is designed specifically for creating fonts to be used with \tex. The \MF{}book~\cite{Knuth:ct-c} is the authoritative text on \metafont. If you plan to design your own symbols with \metafont, The \MF{}book is essential reading. You may also want to read the freely available \MF{} primer located at \url{http://metafont.tutorial.free.fr/}. The following is an extremely brief tutorial on how to create a new \latex symbol using \metafont. Its primary purpose is to cover the \latex-specific operations not mentioned in The \MF{}book and to demonstrate that symbol-font creation is not necessarily a difficult task. Suppose we need a symbol to represent a light bulb~(``\lightbulb'').\footnote{I'm not a very good artist; you'll have to pretend that~``\lightbulb'' looks like a light bulb.} The first step is to draw this in \metafont. It is common to separate the font into two files: a size-dependent file, which specifies the design size and various font-specific parameters that are a function of the design size; and a size-independent file, which draws characters in the given size. \ref{mftoplevel} shows the \metafont code for \filename{lightbulb10.mf}. \filename{lightbulb10.mf} specifies various parameters that produce a 10\,pt.\ light bulb then loads \filename{lightbulb.mf}. Ideally, one should produce \texttt{lightbulb}\meta{size}\fileext{mf} files for a variety of \meta{size}s. This is called ``optical\idxboth{optical}{scaling} scaling''. It enables, for example, the lines that make up the light bulb to retain the same thickness at different font sizes, which looks much nicer than the alternative---and default---``mechanical\idxboth{mechanical}{scaling} scaling''. When a \texttt{lightbulb}\meta{size}\fileext{mf} file does not exist for a given size \meta{size}, the computer mechanically produces a wider, taller, thicker symbol: \begin{center} \begin{tabular}{*{13}c} {\fontsize{10}{10}\lightbulb} & vs.\ & {\fontsize{20}{20}\lightbulb} & vs.\ & {\fontsize{30}{30}\lightbulb} & vs.\ & {\fontsize{40}{40}\lightbulb} & vs.\ & {\fontsize{50}{50}\lightbulb} & vs.\ & {\fontsize{60}{60}\lightbulb} & vs.\ & {\fontsize{70}{70}\lightbulb} \\[-1.5ex] {\tiny 10\,pt.} & & {\tiny 20\,pt.} & & {\tiny 30\,pt.} & & {\tiny 40\,pt.} & & {\tiny 50\,pt.} & & {\tiny 60\,pt.} & & {\tiny 70\,pt.} \\ \end{tabular} \end{center} \begin{figure}[htbp] \centering \begin{codesample} % The following are derived from mftmac.tex. \def\\#1{\textit{#1}} % italic type for identifiers \def\2#1{\mathop{\textbf{#1}\/\kern.05em}} % operator, in bold type \def\9{\hfill$\%} % comment separator % Matching `$' for Emacs font-lock mode \def\SH{\raise.7ex\hbox{$\scriptstyle\#$}} % sharp sign for sharped units \let\BL=\medskip % space for empty line \def\frac#1/#2{\leavevmode\kern.1em \raise.5ex\hbox{\the\scriptfont0 #1}\kern-.1em /\kern-.15em\lower.25ex\hbox{\the\scriptfont0 #2}} % The following are modified from mft's output. $\2{font\_identifier}:=\verb+"LightBulb10"+;\ \9 Name the font.\par $\2{font\_size}10\\{pt}\SH ;\ \9 Specify the design size.\par \BL $\\{em}\SH :=10\\{pt}\SH ;\ \9 ``M'' width is 10 points.\par $\\{cap}\SH :=7\\{pt}\SH ;\ \9 Capital letter height is 7 points above the baseline.\par $\\{sb}\SH :=\frac1/{4}\\{pt}\SH ;\ \9 Leave this much space on the side of each character.\par $o\SH :=\frac1/{16}\\{pt}\SH ;\ \9 Amount that curves overshoot borders.\par \BL $\2{input}\hbox{\tt lightbulb}\9 Load the file that draws the actual glyph.\par % Matching `$' for Emacs font-lock mode \end{codesample} \caption{Sample \metafont size-specific file (\filename{lightbulb10.mf})} \label{mftoplevel} \end{figure} \filename{lightbulb.mf}, shown in \ref{mfmain}, draws a light bulb using the parameters defined in \filename{lightbulb10.mf}. Note that the the filenames ``\filename{lightbulb10.mf}'' and ``\filename{lightbulb.mf}'' do not follow the Berry font-naming scheme~\cite{Berry:fontname}; the Berry font-naming scheme is largely irrelevant for symbol fonts, which generally lack bold, \italic, small-caps, slanted, and other such variants. \begin{figure}[htbp] \centering \begin{codesample} % The following are derived from mftmac.tex. \def\\#1{\textit{#1}} % italic type for identifiers \def\1#1{\mathop{\textrm{#1}}} % operator, in roman type \def\2#1{\mathop{\textbf{#1}\/\kern.05em}} % operator, in bold type \def\3#1{\,\mathclose{\textbf{#1}}} % `fi' and `endgroup' \def\5#1{\textbf{#1}} % `true' and `nullpicture' \def\6#1{\mathbin{\rm#1}} % `++' and `scaled' \def\8#1{\mathrel{\mathcode`\.="8000 \mathcode`\-="8000 #1\unkern}} % `..' and `--' \def\9{\hfill$\%} % comment separator % Matching `$' for Emacs font-lock mode \def\SH{\raise.7ex\hbox{$\scriptstyle\#$}} % sharp sign for sharped units \let\BL=\medskip % space for empty line \def\frac#1/#2{\leavevmode\kern.1em \raise.5ex\hbox{\the\scriptfont0 #1}\kern-.1em /\kern-.15em\lower.25ex\hbox{\the\scriptfont0 #2}} \mathchardef\period=`\. \newbox\shorthyf \setbox\shorthyf=\hbox{-\kern-.05em} {\catcode`\-=\active \global\def-{\copy\shorthyf\mkern3.9mu} \catcode`\.=\active \global\def.{\period\mkern3mu}} % The following are modified from mft's output. $\5{mode\_setup};\ \9 Target a given printer.\par \BL $\2{define\_pixels}(\\{em},\\{cap},\\{sb});\ \9 Convert to device-specific units.\par $\2{define\_corrected\_pixels}(o);\ \9 Same, but add a device-specific fudge factor.\par \BL \%\% Define a light bulb at the character position for ``A''\par \%\% with width $\frac1/{2}\\{em}\SH$, height $\\{cap}\SH$, and depth $1\\{pt}\SH$.\par $\2{beginchar}(\verb+"A"+,\frac1/{2}\\{em}\SH ,\\{cap}\SH ,1\\{pt}\SH );\ \verb+"A light bulb"+;$\par \quad\quad$\2{pickup}\5{pencircle}\6{scaled}\frac1/{2}\\{pt};\ \9 Use a pen with a small, circular tip.\par \BL \quad\quad\%\% Define the points we need.\par \quad\quad$\\{top}\,z_{1}=(w/2,h+o);\ \9 $z_1$ is at the top of a circle.\par \quad\quad$\\{rt}\,z_{2}=(w+\\{sb}+o-x_{4},y_{4});\ \9 $z_2$ is at the same height as $z_4$ but the opposite side.\par \quad\quad$\\{bot}\,z_{3}=(z_{1}-(0,w-\\{sb}-o));\ \9 $z_3$ is at the bottom of the circle.\par \quad\quad$\\{lft}\,z_{4}=(\\{sb}-o,\frac1/{2}[y_{1},y_{3}]);\ \9 $z_4$ is on the left of the circle.\par \quad\quad$\2{path}\\{bulb};\ \9 Define a path for the bulb itself.\par \quad\quad$\\{bulb}=z_{1}\8{..}z_{2}\8{..}z_{3}\8{..}z_{4}\8{..}\1{cycle};\ \9 The bulb is a closed path.\par \BL \quad\quad$z_{5}=\2{point}2-\frac1/{3}\2{of}\\{bulb};\ \9 $z_5$ lies on the bulb, a little to the right of $z_3$.\par \quad\quad$z_{6}=(x_{5},0);\ \9 $z_6$ is at the bottom, directly under $z_5$.\par \quad\quad$z_{7}=(x_{8},0);\ \9 $z_7$ is at the bottom, directly under $z_8$.\par \quad\quad$z_{8}=\2{point}2+\frac1/{3}\2{of}\\{bulb};\ \9 $z_8$ lies on the bulb, a little to the left of $z_3$.\par \quad\quad$\\{bot}\,z_{67}=(\frac1/{2}[x_{6},x_{7}],\\{pen\_bot}-o-\frac1/{8}% \\{pt});\ \9 $z_{67}$ lies halfway between $z_6$ and $z_7$ but a jot lower.\par \BL \quad\quad\%\% Draw the bulb and the base.\par \quad\quad$\2{draw}\\{bulb};\ \9 Draw the bulb proper.\par \quad\quad$\2{draw}z_{5}\8{--}z_{6}\8{..}z_{67}\8{..}z_{7}\8{--}z_{8};\ \9 Draw the base of the bulb.\par \BL \quad\quad\%\% Display key positions and points to help us debug.\par \quad\quad$\\{makegrid}(0,\\{sb},w/2,w-\\{sb})(0,-1\\{pt},y_{2},h);\ \9 Label ``interesting'' $x$ and $y$ coordinates.\par \quad\quad$\\{penlabels}(1,2,3,4,5,6,67,7,8);\ \9 Label control points for debugging.\par $\!\3{endchar};$\par $\!\3{end}$\par % Matching `$' for Emacs font-lock mode \end{codesample} \caption{Sample \metafont size-independent file (\filename{lightbulb.mf})} \label{mfmain} \end{figure} The code in Figures~\ref{mftoplevel} and~\ref{mfmain} is heavily commented and should demonstrate some of the basic concepts behind \metafont usage: declaring variables, defining points, drawing lines and curves, and preparing to debug or fine-tune the output. Again, The \MF{}book~\cite{Knuth:ct-c} is the definitive reference on \metafont programming. \metafont can produce ``proofs'' of fonts---large, labeled versions that showcase the logical structure of each character. In fact, proof mode is \metafont's default mode. To produce a proof of \filename{lightbulb10.mf}, issue the following commands at the operating-system prompt: \bigskip \noindent \begingroup \let\usercmd=\textbf \newlength{\commentlen}% \settowidth{\commentlen}{Produces \filename{lightbulb10.2602gf}}% \leftskip=\parindent \parindent=0pt \obeylines \osprompt \usercmd{mf lightbulb10.mf} \hfill $\Leftarrow$\quad% \makebox[\commentlen][l]{Produces \filename{lightbulb10.2602gf}} \osprompt \usercmd{gftodvi lightbulb10.2602gf} \hfill $\Leftarrow$\quad% \makebox[\commentlen][l]{Produces \filename{lightbulb10.dvi}} \endgroup \bigskip \noindent You can then view \filename{lightbulb10.dvi} with any DVI\index{DVI} viewer. The result is shown in \ref{lightbulb10-proof}. Observe how the grid defined with \textit{makegrid} at the bottom of \ref{mfmain} draws vertical lines at positions~0, \textit{sb}, $w/2$, and $w - \textit{sb}$ and horizontal lines at positions~0, $-1$\textit{pt}, $y_2$, and $h$. Similarly, observe how the \textit{penlabels} command labels all of the important coordinates: $z_1, z_2, \ldots, z_8$ and $z_{67}$, which \filename{lightbulb.mf} defines to lie between $z_6$ and $z_7$. \begin{figure}[htbp] \centering \includegraphics[height=6cm]{lightbulb.eps} \caption{Proof diagram of \filename{lightbulb10.mf}} \label{lightbulb10-proof} \end{figure} Most, if not all, \tex distributions include a Plain \tex file called \testfonttex that is useful for testing new fonts in a variety of ways. One useful routine produces a table of all of the characters in the font: \bigskip \noindent \begingroup \newcommand*{\usercmd}[1]{\textrm{\textbf{#1}}}% \leftskip=\parindent \parindent=0pt \ttfamily \obeylines \obeyspaces% \osprompt \usercmd{tex testfont} This is TeX, Version 3.14159 (Web2C 7.3.1) (/usr/share/texmf/tex/plain/base/testfont.tex Name of the font to test = \usercmd{lightbulb10} Now type a test command (\string\help for help):) *\usercmd{\textbackslash{}table} \vspace{\baselineskip} *\usercmd{\textbackslash{}bye} [1] Output written on testfont.dvi (1 page, 1516 bytes). Transcript written on testfont.log. \endgroup \bigskip \noindent The resulting table, stored in \filename{testfont.dvi} and illustrated in \ref{font-table}, shows every character in the font. To understand how to read the table, note that the character code for~``A''---the only character defined by \filename{lightbulb10.mf}---is 41 in hexadecimal (base~16) and 101 in octal (base~8). \begin{figure}[htbp] \centering \fbox{% \begin{minipage}{0.9\linewidth} \centering \vspace*{\baselineskip} \begin{minipage}{0.95\linewidth} {\tiny Test of lightbulb10 on March 11, 2003 at 1127} \vspace{2\baselineskip} \renewcommand{\tabularxcolumn}[1]{>{\mbox{}\hfill}p{#1}<{\hfill\mbox{}}}% % The following two lines are modified from testfont.tex \def\oct#1{\hbox{\normalfont\'{}\kern-.2em\itshape#1\/\kern.05em}} % octal constant \def\hex#1{\hbox{\normalfont\H{}\ttfamily#1}} % hexadecimal constant \begin{tabularx}{\linewidth}{@{}*9{X|}X@{}} & \oct{0} & \oct{1} & \oct{2} & \oct{3} & \oct{4} & \oct{5} & \oct{6} & \oct{7} & \\ \hline \oct{10x} & & \lightbulb & & & & & & & \raisebox{-0.5\baselineskip}[0pt][0pt]{\hex{4x}} \\ \cline{1-9} \oct{11x} & & & & & & & & & \\ \hline & \hex{8} & \hex{9} & \hex{A} & \hex{B} & \hex{C} & \hex{D} & \hex{E} & \hex{F} & \\ \end{tabularx} \end{minipage} \vspace*{\baselineskip} \end{minipage}} \caption{Font table produced by \testfonttex} \label{font-table} \end{figure} The LightBulb10 font is now usable by \tex. \latexE, however, needs more information before documents can use the font. First, we create a font-description file that tells \latexE how to map fonts in a given font family and encoding to a particular font in a particular font size. For symbol fonts, this mapping is fairly simple. Symbol fonts almost always use the ``U''~(``Unknown'') font encoding and frequently occur in only one variant: normal weight and non-\italic[italicized]. The filename for a font-description file important; it must be of the form ``\meta{encoding}\meta{family}\fileext{fd}'', where \meta{encoding} is the lowercase version of the encoding name (typically~``u'' for symbol fonts) and \meta{family} is the name of the font family. For LightBulb10, let's call this ``bulb''. \ref{bulb-fd-file} lists the contents of \filename{ubulb.fd}. The document ``\latexE Font Selection''~\cite{fntguide} describes \cmd{\DeclareFontFamily} and \cmd{\DeclareFontShape} in detail, but the gist of \filename{ubulb.fd} is first to declare a \texttt{U}-encoded version of the \texttt{bulb} font family and then to specify that a \latexE request for a \texttt{U}-encoded version of \texttt{bulb} with a (\texttt{m})edium font series (as opposed to, e.g., bold) and a (\texttt{n})ormal font shape (as opposed to, e.g., \italic) should translate into a \tex request for \filename{lightbulb10.tfm} mechanically\idxboth{mechanical}{scaling} scaled to the current font size. \begin{figure}[htbp] \centering \begin{tabular}{@{}|l|@{}} \hline \verb+\DeclareFontFamily{U}{bulb}{}+ \\ \verb+\DeclareFontShape{U}{bulb}{m}{n}{<-> lightbulb10}{}+ \\ \hline \end{tabular} \caption{\latexE font-description file (\filename{ubulb.fd})} \label{bulb-fd-file} \end{figure} The final step is to write a \latexE style file that defines a name for each symbol in the font. Because we have only one symbol our style file, \filename{lightbulb.sty} (\ref{bulb-sty-file}), is rather trivial. Note that instead of typesetting ``\texttt{A}'' we could have had \cmdI{\lightbulb} typeset ``\cmd{\char}\texttt{65}'', ``\cmd{\char}\verb+"41+'', or ``\cmd{\char}\verb+'101+'' (respectively, decimal, hexadecimal, and octal character offsets into the font). For a simple, one-character symbol font such as LightBulb10 it would be reasonable to merge \filename{ubulb.fd} into \filename{lightbulb.sty} instead of maintaining two separate files. In either case, a document need only include ``\verb+\usepackage{lightbulb}+'' to make the \verb+\lightbulb+ symbol available. \begin{figure}[htbp] \centering \begin{tabular}{@{}|l|@{}} \hline \verb+\newcommand{\lightbulb}{{\usefont{U}{bulb}{m}{n}A}}+ \\ \hline \end{tabular} \caption{\latexE style file (\filename{lightbulb.sty})} \label{bulb-sty-file} \end{figure} \bigskip \metafont normally produces bitmapped fonts. However, it is also possible, with the help of some external tools, to produce \postscript \PSfont{Type~1} fonts. These have the advantages of rendering better in Adobe\regtm\index{Adobe Acrobat} Acrobat\regtm (at least in versions prior to~6.0) and of being more memory-efficient when handled by a \postscript interpreter. See \TeXFAQ{textrace} for pointers to tools that can produce \PSfont{Type~1} fonts from \metafont. \subsection{Math-mode spacing} \label{math-spacing} Terms such as ``binary operators'', ``relations'', and ``punctuation'' in \ref{math-symbols} primarily regard the surrounding spacing. (See the Short Math Guide for \latex~\cite{Downes:smg} for a nice exposition on the subject.) To use a symbol for a different purpose, you can use the \tex commands \cmd{\mathord}, \cmd{\mathop}, \cmd{\mathbin}, \cmd{\mathrel}, \cmd{\mathopen}, \cmd{\mathclose}, and \cmd{\mathpunct}. For example, if you want to use \cmd{\downarrow} as a variable (an ``ordinary'' symbol) instead of a delimiter, you can write ``\verb|$3 x + \mathord{\downarrow}$|'' to get the properly spaced ``$3 x + \mathord{\downarrow}$'' rather than the awkward-looking ``$3 x + \downarrow$''. Similarly, to create a dotted-union\index{dotted union=dotted union ($\dot\cup$)} symbol (``$\dot\cup$'') that spaces like the ordinary set-union symbol (\cmdX{\cup}) it must be defined with \cmd{\mathbin}, just as \cmdX{\cup} is. Contrast ``\verb|$A \dot{\cup} B$|'' (``$A {\dot\cup} B$'') with ``\verb|$A \mathbin{\dot{\cup}} B$|'' (``$A \mathbin{\dot{\cup}} B$''). See \TeXbook for the definitive description of math-mode spacing. The purpose of the ``log-like symbols'' in \ifAMS \ref{log} and~\ref{ams-log} \else \ref{log} \fi is to provide the correct amount of spacing around and within multiletter function names. \vref{log-spacing} contrasts the output of the log-like symbols with various, na\"{\i}ve alternatives. In addition to spacing, the log-like symbols also handle subscripts properly. For example, ``\verb|\max_{p \in P}|'' produces ``$\max_{p \in P}$'' in text, but ``$\displaystyle\max_{p \in P}$'' as part of a displayed formula. \begin{nonsymtable}{Spacing Around/Within Log-like Symbols} \label{log-spacing} \setlength{\tabcolsep}{1em} \begin{tabular}{@{}ll@{}} \toprule \latex{} expression & Output \\ \midrule \verb|$r \sin \theta$| & $r \sin \theta$ \rlap{\quad (best)} \\ \verb|$r sin \theta$| & $r sin \theta$ \\ \verb|$r \mbox{sin} \theta$| & $r \mbox{sin} \theta$ \\ \verb|$r \mathrm{sin} \theta$| & $r \mathrm{sin} \theta$ \\ \bottomrule \end{tabular} \end{nonsymtable} The \pkgname{amsmath} package makes it straightforward to define new log-like symbols: \begin{verbatim} \DeclareMathOperator{\atan}{atan} \DeclareMathOperator*{\lcm}{lcm} \end{verbatim} \ifAMS \indexcommand[$\string\atan$]{\atan}% \indexcommand[$\string\lcm$]{\lcm} \else \indexcommand{\atan}% \indexcommand{\lcm} \fi % AMS test \noindent The difference between \cmd{\DeclareMathOperator} and \cmd{\DeclareMathOperator*} involves the handling of subscripts. With \cmd{\DeclareMathOperator*}, subscripts are written beneath log-like symbols in display style and to the right in text style. This is useful for limit operators (e.g.,~\cmdX{\lim}) and functions that tend to map over a set (e.g.,~\cmdX{\min}). In contrast, \cmd{\DeclareMathOperator} tells \tex that subscripts should always be displayed to the right of the operator, as is common for functions that take a single parameter (e.g.,~\cmdX{\log} and~\cmdX{\cos}). \ref{new-log-likes} contrasts symbols declared with \cmd{\DeclareMathOperator} and \cmd{\DeclareMathOperator*} in both text style~(\texttt{\$}$\ldots$\texttt{\$}) and display~style~(\texttt{\string\[}$\ldots$\texttt{\string\]}).\footnote{Note that \cmd{\displaystyle} can be used to force display style within~\texttt{\$}$\ldots$\texttt{\$} and \cmd{\textstyle} can be used to force text style within~\texttt{\string\[}$\ldots$\texttt{\string\]}.} \begin{nonsymtable}{Defining new log-like symbols} \label{new-log-likes} \renewcommand{\tabcolsep}{1em} \begin{tabular}{@{}lll@{}} \toprule Declaration function & \texttt{\$\string\newlogsym\_\string{p \string\in~P\string}\$} & \texttt{\string\[~\string\newlogsym\_\string{p \string\in~P\string}~\string\]} \\ \midrule \texttt{\string\DeclareMathOperator} & $\newlogsym_{p \in P}$ & $\displaystyle\newlogsym_{p \in P}$ \\[1ex] \texttt{\string\DeclareMathOperator*} & $\newlogsymSTAR_{p \in P}$ & $\displaystyle\newlogsymSTAR_{p \in P}$ \\ \bottomrule \end{tabular} \end{nonsymtable} It is common to use a thin\idxboth{thin}{space} space~(\cmd{\,}) between the words of a multiword operators, as in ``\verb|\DeclareMathOperator*|\linebreak[0]\verb|{\argmax}|\linebreak[0]\verb|{arg\,max}|''. \cmdX{\liminf}, \cmdX{\limsup}, and all of the log-like\idxboth{log-like}{symbols}\index{atomic math objects} symbols shown in \ref{ams-log} utilize this spacing convention. \subsection{Bold mathematical symbols} \label{bold-math} \idxbothbegin{bold}{symbols} \latex\ does not normally use bold symbols when typesetting mathematics. However, bold symbols are occasionally needed, for example when naming vectors. Any of the approaches described at \TeXFAQ{boldgreek} can be used to produce bold mathematical symbols. \ref{bold-symbols} contrasts the output produced by these various techniques. As the table illustrates, these techniques exhibit variation in their formatting of Latin letters (upright vs.\ \italic), formatting of Greek\index{Greek>bold}\index{Greek>letters} letters (bold vs.\ normal), formatting of operators and relations (bold vs.\ normal), and spacing. \ifXFB \pkgname{xfakebold}'s \cmd{\setBold} command is unique in that it takes a thickness argument and supports arbitrary symbol thickness, although it works only with vector fonts, not bitmapped fonts. \fi % The following was copied verbatim from amsbsy.sty. \makeatletter \DeclareRobustCommand{\pmb}{% \ifmmode\else \expandafter\pmb@@\fi\mathpalette\pmb@} \def\pmb@@#1#2#3{\leavevmode\setboxz@h{#3}% \dimen@-\wdz@ \kern-.5\ex@\copy\z@ \kern\dimen@\kern.25\ex@\raise.4\ex@\copy\z@ \kern\dimen@\kern.25\ex@\box\z@ } \newdimen\pmbraise@ \def\pmb@#1#2{\setbox8\hbox{$\m@th#1{#2}$}% \setboxz@h{$\m@th#1\mkern.5mu$}\pmbraise@\wdz@ \binrel@{#2}% \dimen@-\wd8 % \binrel@@{% \mkern-.8mu\copy8 % \kern\dimen@\mkern.4mu\raise\pmbraise@\copy8 % \kern\dimen@\mkern.4mu\box8 }% } \makeatother \begin{nonsymtable}{Producing bold mathematical symbols} \idxboth{bold}{symbols} \label{bold-symbols} \begin{tabular}{@{}lll@{}} \toprule Package & Code & Output \\ \midrule \textit{none} & \verb!$\alpha + b = \Gamma \div D$! & $\alpha + b = \Gamma \div D$ \rlap{\qquad (no bold)} \\ \textit{none} & \verb!$!\cmd{\mathbf}\verb!{\alpha + b = \Gamma \div D}$! & \ifBM $\alpha + \textbf{b} = \bm{\Gamma} \div \textbf{D}$ \\ \else $\mathbf{\alpha + b = \Gamma \div D}$ \\ \fi \textit{none} & \cmd{\boldmath}\verb!$\alpha + b = \Gamma \div D$! & \boldmath$\alpha + b = \Gamma \div D$ \\ \pkgname{amsbsy} & \verb!$!\cmd{\pmb}\verb!{\alpha + b = \Gamma \div D}$! & $\pmb{\alpha + b = \Gamma \div D}$ \rlap{\qquad (faked bold)} \\ \pkgname{amsbsy} & \verb!$!\cmd{\boldsymbol}\verb!{\alpha + b = \Gamma \div D}$! & \boldmath$\alpha + b = \Gamma \div D$ \\ \ifBM \pkgname{bm} & \verb!$!\cmd{\bm}\verb!{\alpha + b = \Gamma \div D}$! & $\bm{\alpha + b = \Gamma \div D}$ \\ \fi \pkgname{fixmath} & \verb!$!\cmd{\mathbold}\verb!{\alpha + b = \Gamma \div D}$! & \def\GammaIt{\mathord{\usefont{OML}{cmm}{b}{it}\mathchar"7100}}% \boldmath$\alpha + b = \GammaIt \div D$ \\ \ifXFB \pkgname{xfakebold} & \cmd{\setBold}\texttt{[0.3]} & \setBold[0.3]$\alpha + b = \Gamma \div D$\unsetBold \rlap{\qquad\kern3pt (faked bold)} \\ & \verb! $\alpha + b = \Gamma \div D$! \\ & \verb!\unsetBold! \\ \fi \bottomrule \end{tabular} \end{nonsymtable} \idxbothend{bold}{symbols} \subsection{ASCII and Latin~1 quick reference} \label{ascii-quickref} \index{ASCII|(} \vref{ascii-table} amalgamates data from various other tables in this document into a convenient reference for \latexE typesetting of \ascii characters, i.e., the characters available on a typical U.S. computer keyboard. The first two columns list the character's \ascii code in decimal and hexadecimal. The third column shows what the character looks like. The fourth column lists the \latexE command to typeset the character as a text character. And the fourth column lists the \latexE command to typeset the character within a \verb|\texttt{|$\ldots$\verb|}| command (or, more generally, when \verb|\ttfamily| is in effect). \index{ASCII|)} \begin{nonsymtable}{\latexE ASCII Table} \index{ASCII>table} \index{quotation marks} \label{ascii-table} % Define an equivalent of \vdots that's the height of a "9". \newlength{\digitheight} \settoheight{\digitheight}{9} \newcommand{\digitvdots}{\raisebox{-1.5pt}[\digitheight]{$\vdots$}} % Replace all glyphs in a row with vertical dots. \makeatletter \newcommand{\skipped}{% \settowidth{\@tempdima}{99} \makebox[\@tempdima]{\digitvdots} & \settowidth{\@tempdima}{99} \makebox[\@tempdima]{\digitvdots} & \digitvdots & \digitvdots & \digitvdots \\ } \makeatother % Typesetting a symbol by prefixing it with a "\". \newcommand{\bscommand}[1]{#1 & \cmdI{#1} & \cmdI{#1}} \begin{tabular}[t]{@{}*2{>{\ttfamily}r}c*2{>{\ttfamily}l}l@{}} \\ \toprule \multicolumn{1}{@{}c}{Dec} & \multicolumn{1}{c}{Hex} & \multicolumn{1}{c}{Char} & \multicolumn{1}{c}{Body text} & \multicolumn{1}{c@{}}{\ttfamily\string\texttt} \\ \midrule 33 & 21 & ! & ! & ! \\ 34 & 22 & {\fontencoding{T1}\selectfont\textquotedbl} & \string\textquotedbl & " \\ % Not available in OT1 35 & 23 & \bscommand{\#} \\ 36 & 24 & \bscommand{\$} \\ 37 & 25 & \bscommand{\%} \\ 38 & 26 & \bscommand{\&} \\ 39 & 27 & ' & ' & ' \\ 40 & 28 & ( & ( & ( \\ 41 & 29 & ) & ) & ) \\ 42 & 2A & * & * & * \\ 43 & 2B & + & + & + \\ 44 & 2C & , & , & , \\ 45 & 2D & - & - & - \\ 46 & 2E & . & . & . \\ 47 & 2F & / & / & / \\ 48 & 30 & 0 & 0 & 0 \\ 49 & 31 & 1 & 1 & 1 \\ 50 & 32 & 2 & 2 & 2 \\ \skipped 57 & 39 & 9 & 9 & 9 \\ 58 & 3A & : & : & : \\ 59 & 3B & ; & ; & ; \\ 60 & 3C & \textless & \cmdI{\textless} & < \\ % Or $<$ 61 & 3D & = & = & = \\ \bottomrule \end{tabular} \hfil \begin{tabular}[t]{@{}*2{>{\ttfamily}r}c*2{>{\ttfamily}l}l@{}} \\ \toprule \multicolumn{1}{@{}c}{Dec} & \multicolumn{1}{c}{Hex} & \multicolumn{1}{c}{Char} & \multicolumn{1}{c}{Body text} & \multicolumn{1}{c@{}}{\ttfamily\string\texttt} \\ \midrule 62 & 3E & \textgreater & \cmdI{\textgreater} & > \\ % Or $>$ 63 & 3F & ? & ? & ? \\ 64 & 40 & @ & @ & @ \\ 65 & 41 & A & A & A \\ 66 & 42 & B & B & B \\ 67 & 43 & C & C & C \\ \skipped 90 & 5A & Z & Z & Z \\ 91 & 5B & [ & [ & [ \\ 92 & 5C & \textbackslash & \cmdI{\textbackslash} & \verb|\char`\\| \\ % \textbackslash works in non-OT1 93 & 5D & ] & ] & ] \\ 94 & 5E & \^{} & \verb|\^{}| & \verb|\^{}| \\ % Or \textasciicircum 95 & 5F & \_ & \verb|\_| & \verb|\char`\_| \\ % \_ works in non-OT1 96 & 60 & ` & ` & ` \\ 97 & 61 & a & a & a \\ 98 & 62 & b & b & b \\ 99 & 63 & c & c & c \\ \skipped 122 & 7A & z & z & z \\ 123 & 7B & \{ & \verb|\{| & \verb|\char`\{| \\ % \{ works in non-OT1 124 & 7C & \textbar & \cmdI{\textbar} & | \\ % Or $|$ 125 & 7D & \} & \verb|\}| & \verb|\char`\}| \\ % \} works in non-OT1 126 & 7E & \~{} & \verb|\~{}| & \verb|\~{}| \\ % Or \textasciitilde ($\sim$?) \\ \bottomrule \end{tabular} \end{nonsymtable} The following are some additional notes about the contents of \ref{ascii-table}: \begin{itemize} \item ``\indexcommand[\string\encone{\string\textquotedbl}]{\textquotedbl}{\encone{\textquotedbl}}'' is not available in the OT1 \fntenc[OT1]. \item \ref{ascii-table} shows a close quote for character~39 for consistency with the open quote shown for character~96. A straight quote can be typeset using \cmdI{\textquotesingle} (cf.~\ref{tc-misc}). \item The\label{upside-down}\index{symbols>upside-down|(}\index{upside-down symbols|(} characters ``\texttt{<}'', ``\texttt{>}'', and ``\texttt{|}'' do work as expected in math mode, although they produce, respectively, ``<'', ``>'', and ``|'' in text mode when using the OT1 \fntenc[OT1].\footnote{Donald\index{Knuth, Donald E.} Knuth didn't think such symbols were important outside of mathematics so he omitted them from his text fonts.} The following are some alternatives for typesetting ``\textless'', ``\textgreater'', and ``\textbar'': \begin{itemize} \item Specify a document \fntenc{} other than OT1 (as described~\vpageref[above]{altenc}). \item Use the appropriate symbol commands from \vref{text-predef}, viz.~\cmdI{\textless}, \cmdI{\textgreater}, and \cmdI{\textbar}. \item Enter the symbols in math mode instead of text mode, i.e.,~\verb+$<$+, \verb+$>$+, and \verb+$|$+. \end{itemize} \noindent Note that for typesetting metavariables many people prefer \cmdI{\textlangle} and \cmdI{\textrangle} to \cmdI{\textless} and \cmdI{\textgreater}; i.e., ``\meta{filename}'' instead of ``$<$\textit{filename}$>$''.\index{symbols>upside-down|)}\index{upside-down symbols|)} \item Although ``\texttt{/}'' does not require any special treatment, \latex additionally defines a \cmdI{\slash} command which outputs the same glyph but permits a line~break afterwards. That is, ``\texttt{increase/decrease}'' is always typeset as a single entity while ``\verb|increase\slash{}decrease|'' may be typeset with ``increase/'' on one line and ``decrease'' on the next. \item \label{page:tildes} \index{tilde|(} \cmdI{\textasciicircum} can be used instead of \cmdI[\string\^{}]{\^{}}\verb|{}|, and \cmdI{\textasciitilde} can be used instead of \cmdI[\string\~{}]{\~{}}\verb|{}|. Note that \cmdI{\textasciitilde} and \cmdI[\string\~{}]{\~{}}\verb|{}| produce raised, diacritic tildes. ``Text'' (i.e.,~vertically\index{tilde>vertically centered} centered) tildes can be generated with either the math-mode \cmdX{\sim} command (shown in \vref{rel}), which produces a somewhat wide ``$\sim$'', or the \TC\ package's \cmdI{\texttildelow} (shown in \vref{tc-misc}), which produces a vertically centered ``{\fontfamily{ptm}\selectfont\texttildelow}'' in most fonts but a baseline-oriented ``\texttildelow'' in \PSfont{Computer Modern}, \TX, \PX, and various other fonts originating from the \tex\ world. If your goal is to typeset tildes in URLs or Unix filenames, your best bet is to use the \pkgname{url} package, which has a number of nice features such as proper line-breaking of such names.\index{tilde|)} \item The various \cmd{\char} commands within \verb|\texttt| are necessary only in the OT1 \fntenc[OT1]. In other encodings (e.g.,~T1)\index{font encodings>T1}, commands such as \cmdIp{\{}, \cmdIp{\}}, \cmdI{\_}, and \cmdI{\textbackslash} all work properly. \item The code\index{code page 437} page~437 (IBM~PC\index{IBM PC}) version of \ascii characters~1 to~31 can be typeset using the \ASCII\ package. \ifASCII See \vref{ibm-ascii}. \fi \item To replace~``\verb|`|'' and~``\verb|'|'' with the more computer-like (and more visibly distinct) ``\texttt{\char18}'' and~``\texttt{\char13}'' within a \texttt{verbatim} environment, use the \pkgname{upquote} package. Outside of \texttt{verbatim}, you can use \cmd{\char}\texttt{18} and \cmd{\char}\texttt{13} to get the modified quote characters. (The former is actually a grave accent.) \end{itemize} \index{Latin 1|(} Similar to \ref{ascii-table}, \vref{latin1-table} is an amalgamation of data from other tables in this document. While \ref{ascii-table} shows how to typeset the 7-bit \ascii character set, \ref{latin1-table} shows the Latin~1 (Western European) character set, also known as ISO-8859-1. \index{Latin 1|)} \begin{nonsymtable}{\latexE Latin~1 Table} \index{Latin 1} \index{copyright} \index{trademark} \idxboth{registered}{trademark} \idxboth{legal}{symbols} \label{latin1-table} \newcommand{\accented}[2]{#1#2 & \texttt{\string#1\string{#2\string}}} \newcommand{\idxencone}[1]{\indexcommand[\string\encone{\string#1}]{#1}\encone{#1}} \begin{tabular}[t]{@{}*2{>{\ttfamily}r}c>{\ttfamily}lc@{}} \\ \toprule \multicolumn{1}{@{}c}{Dec} & \multicolumn{1}{c}{Hex} & \multicolumn{1}{c}{Char} & \multicolumn{2}{c@{}}{\latexE} \\ \midrule 161 & A1 & !` & !{}` \\ 162 & A2 & \textcent & \cmdI{\textcent} & (\textsf{tc}) \\ 163 & A3 & \pounds & \cmdI{\pounds} \\ 164 & A4 & \textcurrency & \cmdI{\textcurrency} & (\textsf{tc}) \\ 165 & A5 & \textyen & \cmdI{\textyen} & (\textsf{tc}) \\ 166 & A6 & \textbrokenbar & \cmdI{\textbrokenbar} & (\textsf{tc}) \\ 167 & A7 & \S & \cmdI{\S} \\ 168 & A8 & \textasciidieresis & \cmdI{\textasciidieresis} & (\textsf{tc}) \\ 169 & A9 & \textcopyright & \cmdI{\textcopyright} \\ 170 & AA & \textordfeminine & \cmdI{\textordfeminine} \\ 171 & AB & \idxencone{\guillemetleft} & \string\guillemetleft & (T1) \\ 172 & AC & \textlnot & \cmdI{\textlnot} & (\textsf{tc}) \\ 173 & AD & - & \cmdI[-]{\-} \\ 174 & AE & \textregistered & \cmdI{\textregistered} \\ 175 & AF & \textasciimacron & \cmdI{\textasciimacron} & (\textsf{tc}) \\ 176 & B0 & \textdegree & \cmdI{\textdegree} & (\textsf{tc}) \\ 177 & B1 & \textpm & \cmdI{\textpm} & (\textsf{tc}) \\ 178 & B2 & \texttwosuperior & \cmdI{\texttwosuperior} & (\textsf{tc}) \\ 179 & B3 & \textthreesuperior & \cmdI{\textthreesuperior} & (\textsf{tc}) \\ 180 & B4 & \textasciiacute & \cmdI{\textasciiacute} & (\textsf{tc}) \\ 181 & B5 & \textmu & \cmdI{\textmu} & (\textsf{tc}) \\ 182 & B6 & \P & \cmdI{\P} \\ 183 & B7 & \textperiodcentered & \cmdI{\textperiodcentered} \\ 184 & B8 & \c{} & \cmdI[\string\blackacchack{\string\c}]{\c}\verb|{}| \\ 185 & B9 & \textonesuperior & \cmdI{\textonesuperior} & (\textsf{tc}) \\ 186 & BA & \textordmasculine & \cmdI{\textordmasculine} \\ 187 & BB & \idxencone{\guillemetright} & \string\guillemetright & (T1) \\ 188 & BC & \textonequarter & \cmdI{\textonequarter} & (\textsf{tc}) \\ 189 & BD & \textonehalf & \cmdI{\textonehalf} & (\textsf{tc}) \\ 190 & BE & \textthreequarters & \cmdI{\textthreequarters} & (\textsf{tc}) \\ 191 & BF & ?` & ?{}` \\ 192 & C0 & \accented{\`}{A} \\ 193 & C1 & \accented{\'}{A} \\ 194 & C2 & \accented{\^}{A} \\ 195 & C3 & \accented{\~}{A} \\ 196 & C4 & \accented{\"}{A} \\ 197 & C5 & \usefont{OT1}{cmr}{m}{n}\AA & \string\AA \\ 198 & C6 & \AE & \string\AE \\ 199 & C7 & \accented{\c}{C} \\ 200 & C8 & \accented{\`}{E} \\ 201 & C9 & \accented{\'}{E} \\ 202 & CA & \accented{\^}{E} \\ 203 & CB & \accented{\"}{E} \\ 204 & CC & \accented{\`}{I} \\ 205 & CD & \accented{\'}{I} \\ 206 & CE & \accented{\^}{I} \\ 207 & CF & \accented{\"}{I} \\ 208 & D0 & \idxencone{\DH} & \string\DH & (T1) \\ \bottomrule \end{tabular} \hfil \begin{tabular}[t]{@{}*2{>{\ttfamily}r}c>{\ttfamily}lc@{}} \\ \toprule \multicolumn{1}{@{}c}{Dec} & \multicolumn{1}{c}{Hex} & \multicolumn{1}{c}{Char} & \multicolumn{2}{c@{}}{\latexE} \\ \midrule 209 & D1 & \accented{\~}{N} \\ 210 & D2 & \accented{\`}{O} \\ 211 & D3 & \accented{\'}{O} \\ 212 & D4 & \accented{\^}{O} \\ 213 & D5 & \accented{\~}{O} \\ 214 & D6 & \accented{\"}{O} \\ 215 & D7 & \texttimes & \string\texttimes & (\textsf{tc}) \\ 216 & D8 & \O & \string\O \\ 217 & D9 & \accented{\`}{U} \\ 218 & DA & \accented{\'}{U} \\ 219 & DB & \accented{\^}{U} \\ 220 & DC & \accented{\"}{U} \\ 221 & DD & \accented{\'}{Y} \\ 222 & DE & \idxencone{\TH} & \string\TH & (T1) \\ 223 & DF & \ss & \string\ss \\ 224 & E0 & \accented{\`}{a} \\ 225 & E1 & \accented{\'}{a} \\ 226 & E2 & \accented{\^}{a} \\ 227 & E3 & \accented{\~}{a} \\ 228 & E4 & \accented{\"}{a} \\ 229 & E5 & \usefont{OT1}{cmr}{m}{n}\aa & \string\aa \\ 230 & E6 & \ae & \string\ae \\ 231 & E7 & \accented{\c}{c} \\ 232 & E8 & \accented{\`}{e} \\ 233 & E9 & \accented{\'}{e} \\ 234 & EA & \accented{\^}{e} \\ 235 & EB & \accented{\"}{e} \\ 236 & EC & \accented{\`}{\i} \\ 237 & ED & \accented{\'}{\i} \\ 238 & EE & \accented{\^}{\i} \\ 239 & EF & \accented{\"}{\i} \\ 240 & F0 & \idxencone{\dh} & \string\dh & (T1) \\ 241 & F1 & \accented{\~}{n} \\ 242 & F2 & \accented{\`}{o} \\ 243 & F3 & \accented{\'}{o} \\ 244 & F4 & \accented{\^}{o} \\ 245 & F5 & \accented{\~}{o} \\ 246 & F6 & \accented{\"}{o} \\ 247 & F7 & \textdiv & \string\textdiv & (\textsf{tc}) \\ 248 & F8 & \o & \string\o \\ 249 & F9 & \accented{\`}{u} \\ 250 & FA & \accented{\'}{u} \\ 251 & FB & \accented{\^}{u} \\ 252 & FC & \accented{\"}{u} \\ 253 & FD & \accented{\'}{y} \\ 254 & FE & \idxencone{\th} & \string\th & (T1) \\ 255 & FF & \accented{\"}{y} \\ \bottomrule \end{tabular} \end{nonsymtable} The following are some additional notes about the contents of \ref{latin1-table}: \begin{itemize} \item A ``(\textsf{tc})'' after a symbol name means that the \TC\ package must be loaded to access that symbol. A ``(T1)'' means that the symbol requires the T1 \fntenc[T1]. The \pkgname{fontenc} package can change the \fntenc[document] document-wide. \item Many of the \verb|\text|\dots\ accents can also be produced using the accent commands shown in \vref{text-accents} plus an empty argument. For instance, \verb|\={}|\index{_=\magicequalname{}\verb+{}+ (\magicequal{})} is essentially the same as \cmd{\textasciimacron}. \item The commands in the ``\latexE'' columns work both in body text and within a \verb|\texttt{|$\ldots$\verb|}| command (or, more generally, when \verb|\ttfamily| is in effect). \item The ``\pounds'' and ``\$'' glyphs occupy the same slot~(36) of the OT1 \fntenc[OT1], with ``\pounds'' appearing in \italic\ fonts and ``\$'' appearing in roman fonts. A problem with \latex's default handling of this double-mapping is that ``\texttt{\string{\string\sffamily\linebreak[0]\string\slshape\linebreak[0]\string\pounds\string}}'' produces ``{\fontencoding{OT1}\sffamily\slshape\selectfont\textdollar}'', not ``{\fontencoding{T1}\sffamily\slshape\selectfont\textsterling}''. Other \fntenc{}s use separate slots for the two characters and are therefore robust to the problem of ``\pounds''/''\$'' conflicts. Authors who use \cmdI{\pounds} should select a \fntenc{} other than OT1 (as explained~\vpageref[above]{altenc}) or use the \TC\ package, which redefines \cmdI{\pounds} to use the TS1 \fntenc[TS1]. \item Character~173, \cmdI[-]{\-}, is shown as ``-'' but is actually a discretionary\index{discretionary hyphen}\index{hyphen, discretionary} hyphen; it appears only at the end of a line. \end{itemize} \index{code page 1252|(} Microsoft\regtm\index{Microsoft Windows=Microsoft\regtm\ Windows\regtm} Windows\regtm\index{Windows=Windows\regtm} normally uses a superset of Latin~1 called ``Code Page~1252'' or ``CP1252'' for short. CP1252 introduces symbols in the Latin~1 ``invalid'' range (characters~128--159). \ref{cp1252-table} presents the characters with which CP1252 augments the standard Latin~1\index{Latin 1} table. \index{code page 1252|)} \begin{nonsymtable}{\latexE Code Page~1252 Table} \index{code page 1252>table} \index{quotation marks} \index{trademark} \label{cp1252-table} \newcommand{\accented}[2]{#1#2 & \texttt{\string#1\string{#2\string}}} \newcommand{\idxencone}[1]{\indexcommand[\string\encone{\string#1}]{#1}\encone{#1}} \begin{tabular}[t]{@{}*2{>{\ttfamily}r}c>{\ttfamily}lc@{}} \\ \toprule \multicolumn{1}{@{}c}{Dec} & \multicolumn{1}{c}{Hex} & \multicolumn{1}{c}{Char} & \multicolumn{2}{c@{}}{\latexE} \\ \midrule 128 & 80 & \texteuro & \cmdI{\texteuro} & (\textsf{tc}) \\ 130 & 82 & \idxencone{\quotesinglbase} & \string\quotesinglbase & (T1) \\ 131 & 83 & \textit{f} & \verb|\textit{f}| \\ 132 & 84 & \idxencone{\quotedblbase} & \string\quotedblbase & (T1) \\ 133 & 85 & \dots & \cmdI{\dots} \\ 134 & 86 & \dag & \cmdI{\dag} \\ 135 & 87 & \ddag & \cmdI{\ddag} \\ 136 & 88 & \textasciicircum & \cmdI{\textasciicircum} \\ 137 & 89 & \textperthousand & \cmdI{\textperthousand} & (\textsf{tc}) \\ 138 & 8A & \accented{\v}{S} \\ 139 & 8B & \idxencone{\guilsinglleft} & \string\guilsinglleft & (T1) \\ 140 & 8C & \OE & \cmdI{\OE} \\ 142 & 8E & \accented{\v}{Z} \\ \bottomrule \end{tabular} \hfil \begin{tabular}[t]{@{}*2{>{\ttfamily}r}c>{\ttfamily}lc@{}} \\ \toprule \multicolumn{1}{@{}c}{Dec} & \multicolumn{1}{c}{Hex} & \multicolumn{1}{c}{Char} & \multicolumn{2}{c@{}}{\latexE} \\ \midrule 145 & 91 & ` & ` \\ 146 & 92 & ' & ' \\ 147 & 93 & `` & `` \\ 148 & 94 & '' & '' \\ 149 & 95 & \textbullet & \cmdI{\textbullet} \\ 150 & 96 & -- & -- \\ 151 & 97 & --- & --- \\ 152 & 98 & \textasciitilde & \cmdI{\textasciitilde} \\ 153 & 99 & \texttrademark & \cmdI{\texttrademark} \\ 154 & 9A & \accented{\v}{s} \\ 155 & 9B & \idxencone{\guilsinglright} & \string\guilsinglright & (T1) \\ 156 & 9C & \oe & \cmdI{\oe} \\ 158 & 9E & \accented{\v}{z} \\ 159 & 9F & \accented{\"}{Y} \\ \bottomrule \end{tabular} \end{nonsymtable} The following are some additional notes about the contents of \ref{cp1252-table}: \begin{itemize} \item As in \ref{latin1-table}, a ``(\textsf{tc})'' after a symbol name means that the \TC\ package must be loaded to access that symbol. A ``(T1)'' means that the symbol requires the T1 \fntenc[T1]. The \pkgname{fontenc} package can change the \fntenc[document] document-wide. \item Not all characters in the 128--159 range are defined. \item Look up ``euro signs'' in the index for alternatives to \cmdI{\texteuro}. \end{itemize} \index{ISO character entities|(} \setpkgnameopts{isoent}{link=http://www.bitjungle.com/isoent/} While too large to incorporate into this document, a listing of ISO~8879:1986 SGML\index{SGML}/XML\index{XML} character entities and their \latex{} equivalents is available from \url{http://www.bitjungle.com/isoent/}. Some of the characters presented there make use of \pkgname{isoent}, a \latexE{} package (available from the same URL) that fakes some of the missing ISO glyphs using the \latex\ \texttt{picture} environment.\footnote{\pkgname{isoent} is not featured in this document, because it is not available from \CTAN and because the faked symbols are not ``true'' characters; they exist in only one size, regardless of the body text's font size.} \index{ISO character entities|)} \subsection{Unicode characters} \label{unicode-chars} \index{Unicode|(} \href{http://www.unicode.org/}{Unicode} is a ``universal character set''---a standard for encoding (i.e.,~assigning unique numbers to) the symbols appearing in many of the world's languages. While \ascii can represent 128 symbols and Latin~1 can represent 256 symbols, Unicode can represent an astonishing 1,114,112 symbols. Because \tex and \latex{} predate the Unicode standard and Unicode fonts by almost a decade, support for Unicode has had to be added to the base \tex{} and \latex{} systems. Note first that \latex{} distinguishes between \emph{input} encoding---the characters used in the \fileext{tex} file---and \emph{output} encoding---the characters that appear in the generated \fileext{dvi}, \fileext{pdf}, etc.\ file. \subsubsection{Inputting Unicode characters} To include Unicode characters in a \fileext{tex} file, load the \pkgname[pkg=unicode]{ucs} package and load the \pkgname{inputenc} package with the \optname{inputenc}{utf8x} (``\utfviii extended'') option.\footnote{\utfviii is the 8-bit Unicode Transformation Format, a popular mechanism for representing Unicode symbol numbers as sequences of one to four bytes.} These packages enable \latex{} to translate \utfviii sequences to \latex{} commands, which are subsequently processed as normal. For example, the \utfviii text ``\texttt{Copyright~\textcopyright\ \the\year}''---``\texttt{\textcopyright}'' is not an \ascii character and therefore cannot be input directly without packages such as \pkgname[pkg=unicode]{ucs}/\pkgname{inputenc}---is converted internally by \pkgname{inputenc} to ``\texttt{Copyright} \verb+\textcopyright{}+ \texttt{\the\year}'' and therefore typeset as ``Copyright~\textcopyright\ \the\year''. The \pkgname[pkg=unicode]{ucs}\slash\pkgname{inputenc} combination supports only a tiny subset of Unicode's million-plus symbols. Additional symbols can be added manually using the \cmd{\DeclareUnicodeCharacter} command. \cmd{\DeclareUnicodeCharacter} takes two arguments: a Unicode number and a \latex{} command to execute when the corresponding Unicode character is encountered in the input. For example, the Unicode character ``degree celsius''~(``\,\textcelsius\,'') appears at character position U+2103.\footnote{The Unicode convention is to express character positions as ``U+\meta{hexadecimal number}''.} However, ``\,\texttt{\textcelsius}\,'' is not one of the characters that \pkgname[pkg=unicode]{ucs} and \pkgname{inputenc} recognize. The following document shows how to use \cmd{\DeclareUnicodeCharacter} to tell \latex{} that the ``\,\texttt{\textcelsius}\,'' character should be treated as a synonym for \cmdI{\textcelsius}: \begin{verbatim} \documentclass{article} \usepackage{ucs} \usepackage[utf8x]{inputenc} \usepackage{textcomp} \DeclareUnicodeCharacter{"2103}{\textcelsius} % Enable direct input of U+2103. \end{verbatim} \noindent \verb| \begin{document}| \\ \verb| |\texttt{It was a balmy 21\textcelsius.} \\ \verb| \end{document}| \bigskip \noindent which produces \begin{quotation} It was a balmy 21\textcelsius. \end{quotation} \seedocs{\pkgname[pkg=unicode]{ucs}} and for descriptions of the various options that control \pkgname[pkg=unicode]{ucs}'s behavior. \subsubsection{Outputting Unicode characters} Orthogonal to the ability to include Unicode characters in a \latex\ input file is the ability to include a given Unicode character in the corresponding output file. By far the easiest approach is to use \xelatex instead of pdf\LaTeX\index{pdfLaTeX=pdf\LaTeX} or ordinary \latex. \xelatex handles Unicode input and output natively and can utilize system fonts directly without having to expose them via \fileext{tfm}, \fileext{fd}, and other such files. To output a Unicode character, a \xelatex document can either include that character directly as \utfviii text or use \tex's \cmd{\char} primitive, which \xelatex extends to accept numbers larger than~255. \ifJUNI \newcommand{\versicleIDX}{\index{versicle=versicle (\versicle)}} \newcommand{\responseIDX}{\index{response=response (\response)}} \else \newcommand{\versicleIDX}{\index{versicle}} \newcommand{\responseIDX}{\index{response}} \fi Suppose we want to output the symbols for \ifJUNI versicle\versicleIDX~(``\versicle'') and response\responseIDX~(``\response'') \else versicle\versicleIDX{} and response\responseIDX{} \fi in a document. The \href{http://www.unicode.org/charts/}{Unicode charts} list ``versicle\versicleIDX'' at position~U+2123 and ``response\responseIDX'' at position~U+211F\@. We therefore need to install a font that contains those characters at their proper positions. One such font that is freely available from \CTAN is Junicode (\hfilename{http://mirror.ctan.org/fonts/junicode/fonts/Junicode.ttf}{Junicode.ttf}) from the \JUNI\ package. The \pkgname{fontspec} package makes it easy for a \xelatex document to utilize a system font. The following example defines a \texttt{\string\textjuni} command that uses \pkgname{fontspec} to typeset its argument in Junicode: \begin{verbatim} \documentclass{article} \usepackage{fontspec} \newcommand{\textjuni}[1]{{\fontspec{Junicode}#1}} \begin{document} We use ``\textjuni{\char"2123}'' for a versicle and ``\textjuni{\char"211F}'' for a response. \end{document} \end{verbatim} \ifJUNI \noindent which produces \begin{quotation} We use ``\versicle'' for a versicle\versicleIDX\ and ``\response'' for a response\responseIDX. \end{quotation} \fi \noindent (Typesetting the entire document in Junicode would be even easier. \seedocs{\pkgname{fontspec}} regarding font selection.) Note how the preceding example uses \cmd{\char} to specify a Unicode character by number. The double quotes before the number indicate that the number is represented in hexadecimal instead of decimal. \index{Unicode|)} \subsection{About this document} \label{about-doc} \paragraph{History} \person{David}{Carlisle} wrote the first version of this document in October, 1994. It originally contained all of the native \latex{} symbols (\ref{bin}, \ref{op}, \ref{rel}, \ref{arrow}, \ref{log}, \ref{greek}, \ref{dels}, \ref{ldels}, \ref{math-accents}, \ref{extensible-accents}, \ref{ord}, and a few tables that have since been reorganized) and was designed to be nearly identical to the tables in Chapter~3 of Leslie\index{Lamport, Leslie} Lamport's book~\cite{Lamport:latex}. Even the table captions and the order of the symbols within each table matched! The \AMS\ symbols (\ref{ams-bin}, \ref{ams-rel}, \ref{ams-nrel}, \ref{ams-arrows}, \ref{ams-narrows}, \ref{ams-greek}, \ref{ams-hebrew}, \ref{ams-del}, and \ref{ams-misc}) and an initial Math Alphabets table (\ref{alphabets}) were added thereafter. Later, \person{Alexander}{Holt} provided the \ST\ tables (\ref{st-bin}, \ref{st-large}, \ref{st-rel}, \ref{st-arrows}, \ref{st-ext}, and \ref{st-del}). In January, 2001, \person{Scott}{Pakin} took responsibility for maintaining the symbol list and has since implemented a complete overhaul of the document. The result, now called, ``The \doctitle'', includes the following new features: \begin{itemize} \item the addition of a handful of new math alphabets, dozens of new font tables, and thousands of new symbols \item the categorization of the symbol tables into body-text symbols, mathematical symbols, science and technology symbols, dingbats, ancient languages, and other symbols, to provide a more user-friendly document structure \item an index, table of contents, hyperlinks, and a frequently-requested symbol list, to help users quickly locate symbols \item symbol tables rewritten to list the symbols in alphabetical order \item appendices providing additional information relevant to using symbols in \latex{} \item tables showing how to typeset all of the characters in the \ascii and Latin~1\index{Latin 1} \fntenc[ASCII]s\index{font encodings>Latin 1} \end{itemize} \noindent Furthermore, the internal structure of the document has been completely altered from \person{David}{Carlisle}'s original version. Most of the changes are geared towards making the document easier to extend, modify, and reformat. \paragraph{Build characteristics} \vref{doc-characteristics} lists some of this document's build characteristics. Most important is the list of packages that \latex{} couldn't find, but that \selftex otherwise would have been able to take advantage of. Complete, prebuilt versions of this document are available from \CTAN\ via \url{https://www.ctan.org/pkg/comprehensive/}. \ref{package-dates} shows the package date (specified in the \verb|.sty|~file with \cmd{\ProvidesPackage}) for each package that was used to build this document and that specifies a package date. Packages are not listed in any particular order in either \ref{doc-characteristics} or~\ref{package-dates}. \begin{nonsymtable}{Document Characteristics} \label{doc-characteristics} \bgroup \sffamily \xdef\orighyphenchar{\the\hyphenchar\font} \hyphenchar\font=-1 \egroup \begin{tabular}{@{}lp{0.5\textwidth}@{}} \toprule Characteristic & Value \\ \midrule Source file: & \selftex \\ Build date: & \today \\ Symbols documented: & \approxcount\prevtotalsymbols \\ Packages included: & \makeatletter \def\@elt#1{\pkgname{#1}\xspace} \foundpkgs \makeatother \\ Packages omitted: & \makeatletter \ifcomplete \emph{none} \else \def\@elt#1{\pkgname{#1}\xspace} \missingpkgs \fi \makeatother \\ \bottomrule \end{tabular} \bgroup \sffamily \hyphenchar\font=\orighyphenchar \egroup \end{nonsymtable} % Automatically generate a table of package version numbers. \ifhaveplaceins \FloatBarrier \else \clearpage \fi \makeatletter \begingroup % Given a package name, output the package's date. \def\show@package@date#1/#2/#3#4#5!!!{#1/#2/#3#4} \newcommand{\showpackagedate}[1]{{% \catcode`\&=12% yfonts.sty obnoxiously uses an unescaped "&" in the package description. \xdef\package@date@string{\csname ver@#1.sty\endcsname}% \expandafter\show@package@date\package@date@string!!! }} % Toggle between "&" and "\\". \global\newcount\pkg@column \gdef\pkg@end@entry{% \global\advance\pkg@column by 1\relax \ifnum\pkg@column=3\relax \let\next=\LT@tabularcr \global\pkg@column=0\relax \else \def\next{&&}% \fi \next } % Produce the entire table body as a token list. \newtoks\pkg@date@toks \def\@elt#1{% \expandafter\ifx\csname ver@#1.sty\endcsname\relax \else \expandafter\ifx\csname ver@#1.sty\endcsname\@empty \else \pkgname{#1} & \showpackagedate{#1} \pkg@end@entry \fi \fi } \expandafter\pkg@date@toks\expandafter=\expandafter{\foundpkgs} % Output a formatted table that contains the previously defined token list. \begin{longnonsymtable}{Package versions used in the preparation of this document} \label{package-dates} \begin{longtable}{@{}lr*2{clr}@{}} \multicolumn{8}{@{}l@{}}{% \makebox[0pt][l]{\small\textit{(continued from previous page)}}} \\[3ex] \toprule Name & \multicolumn{1}{l}{Date} & \qquad & Name & \multicolumn{1}{l}{Date} & \qquad & Name & \multicolumn{1}{l@{}}{Date} \\ \cmidrule(r){1-2}\cmidrule(lr){4-5}\cmidrule(l){7-8} \endhead \toprule Name & \multicolumn{1}{l}{Date} & \qquad & Name & \multicolumn{1}{l}{Date} & \qquad & Name & \multicolumn{1}{l@{}}{Date} \\ \cmidrule(r){1-2}\cmidrule(lr){4-5}\cmidrule(l){7-8} \endfirsthead \bottomrule \\[1ex] \multicolumn{8}{@{}r@{}}{% \makebox[0pt][r]{\small\textit{(continued on next page)}}} \endfoot \endlastfoot \the\pkg@date@toks \\ \bottomrule \end{longtable} \end{longnonsymtable} \endgroup \makeatother \subsection{Copyright and license} \noindent \begin{tabular}{@{}l@{}} The \doctitle \\ Copyright~\copyright\ 2007--\number\year, Scott Pakin \\ \end{tabular} \bigskip \noindent This work may be distributed and/or modified under the conditions of the \latex\ Project Public License, either version~1.3c of this license or (at your option) any later version. The latest version of this license is in \begin{center} \url{http://www.latex-project.org/lppl.txt} \end{center} \noindent and version~1.3c or later is part of all distributions of \latex\ version 2006/05/20 or later. \bigskip This work has the LPPL maintenance status ``maintained''. \bigskip The current maintainer of this work is Scott Pakin. % This work consists of the files \filename{symbols.tex}, % \filename{README}, \filename{SYMLIST}, \filename{lightbulb10.mf}, and % \filename{lightbulb.mf}, \filename{lightbulb.map}, and all PDF, % \postscript, Encapsulated \postscript, and \postscript font files % derived from those. % It seems like such a waste to put such a brief bibliography on its own % page. So we temporarily restore \section back to its original % definition, just for the list of references. \vspace{\stretch{1}} \begingroup \let\section=\origsection \realsections \begin{thebibliography}{Knu86b} \bibitem[AMS99]{AMS1999:amsmath} American Mathematical Society. \emph{User's Guide for the \textsf{amsmath} Package (Version~2.0)}, December~13, 1999. Available from \url{ftp://ftp.ams.org/pub/tex/doc/amsmath/amsldoc.pdf}. \bibitem[Ber01]{Berry:fontname} Karl Berry.\index{Berry, Karl} Fontname: Filenames for \tex fonts, June 2001. Available from \url{https://www.ctan.org/pkg/fontname}. \bibitem[Che98]{Chen1998} Raymond Chen.\index{Chen, Raymond} A \MF\ of `Simpsons' characters. \emph{Baskerville}, 4(4):19, February 1998. ISSN~\mbox{1354-5930}. Available from \url{http://uk.tug.org/wp-installed-content/uploads/2008/12/44.pdf}. \bibitem[Dow00]{Downes:smg} Michael Downes.\index{Downes, Michael J.} Short math guide for {\latex}, July~19, 2000. Version~1.07. Available from \url{http://www.ams.org/tex/short-math-guide.html}. \bibitem[Gib97]{Gibbons:longdiv} Jeremy Gibbons.\index{Gibbons, Jeremy} Hey---it works! \emph{\TUGboat}, 18(2):75--78, June 1997. Available from \url{http://www.tug.org/TUGboat/Articles/tb18-2/tb55works.pdf}. \bibitem[Gre09]{Gregorio2009:latex-book} Enrico Gregorio. \emph{Appunti di programmazione in \latex e \TeX}, second edition, June 2009. Available from \url{http://profs.sci.univr.it/~gregorio/introtex.pdf}. \bibitem[Knu86a]{Knuth:ct-a} Donald~E. Knuth.\index{Knuth, Donald E.} \emph{The {\TeX}book}, volume~A of \emph{Computers and Typesetting}. Ad{\-d}i{\-s}on-Wes{\-l}ey, Reading, MA, USA, 1986. \bibitem[Knu86b]{Knuth:ct-c} Donald~E. Knuth.\index{Knuth, Donald E.} \emph{The {\MF}book}, volume~C of \emph{Computers and Typesetting}. Ad{\-d}i{\-s}on-Wes{\-l}ey, Reading, MA, USA, 1986. \bibitem[Lam86]{Lamport:latex} Leslie Lamport.\index{Lamport, Leslie} \emph{\latex: A document preparation system}. Ad{\-d}i{\-s}on-Wes{\-l}ey, Reading, MA, USA, 1986. \bibitem[\LaT{}98]{ltnews09} \latex{}3~Project Team. A new math accent. \emph{\latex News}. Issue~9, June~1998. Available from \url{https://www.latex-project.org/news/latex2e-news/ltnews09.pdf} and also included in many \tex{} distributions. \bibitem[\LaT{}19]{fntguide} \latex{}3~Project Team. \latexE font selection, October 2019. Available from \url{http://mirrors.ctan.org/macros/latex/base/fntguide.pdf} and also included in many \tex{} distributions. \end{thebibliography} \endgroup % "See also"s should appear after all page references. \providecommand*\seealso[2]{\emph{\alsoname}#1} \providecommand*\alsoname{see also} \index{carriage return|seealso{\texttt{\string\hookleftarrow}}} \index{transforms|seealso{alphabets, math}} \ifTX \index{parallel|seealso{\string\texttt{\string\string\string\varparallel}}} \fi \ifST \index{Plimsoll line|seealso{\string\texttt{\string\string\string\minuso}}} \fi \ifKEYS \index{enter|seealso{carriage return}} \else \index{enter|see{carriage return}} \fi \clearpage \realsections \phantomsection \addcontentsline{toc}{section}{Index} \bgroup \def\pkgnameopts{index=false}% \small \printindex \egroup \end{document}