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Diffstat (limited to 'Master/texmf-doc/doc/english/comprehensive/source/symbols.tex')
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diff --git a/Master/texmf-doc/doc/english/comprehensive/source/symbols.tex b/Master/texmf-doc/doc/english/comprehensive/source/symbols.tex deleted file mode 100644 index 98f8cf64c58..00000000000 --- a/Master/texmf-doc/doc/english/comprehensive/source/symbols.tex +++ /dev/null @@ -1,11464 +0,0 @@ -%%% ==================================================================== -%%% @LaTeX-file{ -%%% author = "Scott Pakin", -%%% version = "10.1", -%%% date = "03 January 2008", -%%% time = "11:05:50 MST", -%%% filename = "symbols.tex", -%%% checksum = "11065 11464 36072 469668", -%%% 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} - -\documentclass{article} -\usepackage{array} -\usepackage{longtable} -\usepackage{textcomp} -\usepackage{latexsym} -\usepackage{varioref} -\usepackage{xspace} -\usepackage{makeidx} -\usepackage{verbatim} -\usepackage{graphicx} -\usepackage{tabularx} - -\newcommand{\doctitle}{Comprehensive \LaTeX\ Symbol List} % Reusable -\title{The \doctitle} - -\author{\person{Scott}{Pakin} \texttt{<scott+clsl@pakin.org>}% - \thanks{The original version of this document was written by - \person{David}{Carlisle}, with several additional tables provided by - \person{Alexander}{Holt}. See Section~\vref{about-doc} for more - information about who did what.}} -\date{3 January 2008} - -\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. -%%% * Figure out how to make this file play nice with hyperref. -%%% * 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). -%%% - - -% 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}} -\newcommand{\idxbothbegin}[2]{\mbox{}\index{#1 #2|(}\index{#2>#1|(}} -\newcommand{\idxbothend}[2]{\mbox{}\index{#1 #2|)}\index{#2>#1|)}} - -% Index logical styles. -\newcommand{\pkgname}[1]{% - \textsf{#1}% - \index{#1=\textsf{#1} (package)}% - \index{packages>#1=\textsf{#1}}} -\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{\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% - \ifx\firstarg\empty% - \index{font encodings}% - \else - \index{font encodings>\firstarg}% - \fi -} -\newcommand{\selftex}{\expandafter\filename\expandafter{\jobname.tex}\xspace} -\newcommand{\fontdefdtx}{\filename{fontdef.dtx}\xspace} -\newcommand{\thanhhanthe}{Th\`anh, H\`an Th\diatop[\'|\^e]} % "|" confuses MakeIndex. -\newcommand{\postscript}{PostScript\index{PostScript}\xspace} - -% 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=Comprehensive \string\TeX{} Archive Network}} - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% 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 % -% \restoresymbols{yyy}{XXX}, which renames \origXXX back to \XXX and % -% defines a new command, \yyyXXX, which corresponds to the most recently % -% loaded version of \XXX. % -% % - -% Save a symbol that we know is going to get redefined. -\def\savesymbol#1{% - \expandafter\let\expandafter\origsym\expandafter=\csname#1\endcsname - \expandafter\let\csname orig#1\endcsname=\origsym - \expandafter\let\csname#1\endcsname=\relax -} - -% Restore a previously saved symbol, and rename the current one. -\def\restoresymbol#1#2{% - \expandafter\let\expandafter\newsym\expandafter=\csname#2\endcsname - \expandafter\global\expandafter\let\csname#1#2\endcsname=\newsym - \expandafter\let\expandafter\origsym\expandafter=\csname orig#2\endcsname - \expandafter\global\expandafter\let\csname#2\endcsname=\origsym -} - -% % -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - - -% 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. -\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}% -} -\makeatother - -% We get a few packages for free. -\makeatletter -\@cons\foundpkgs{{textcomp}} -\@cons\foundpkgs{{latexsym}} -\makeatother -\newcommand{\TC}{\pkgname{textcomp}} - -% Typeset a string in various encodings. -\newcommand{\encone}[1]{{\fontencoding{T1}\selectfont#1}} -\newcommand{\encfour}[1]{{\fontencoding{T4}\selectfont#1}} -\newcommand{\encfive}[1]{{\fontencoding{T5}\selectfont#1}} - -% Various punctuation marks confuse makeindex when used directly. -\let\magicrbrack=] -\let\magicequal=\= -\newcommand{\magicequalname}{\texttt{\string\=}} -\newcommand{\magicvertname}{\texttt{|}} -\newcommand{\magicVertname}{\texttt{\string\|}} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\newif\ifAMS -\newcommand\AMS{\AmS\index{AMS=\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} - -\newif\ifWASY -\newcommand\WASY{\pkgname{wasysym}} -\IfStyFileExists{wasysym} - {\WASYtrue - \savesymbol{lightning} - \savesymbol{Box} - \savesymbol{Diamond} - \usepackage{wasysym} - \restoresymbol{WASY}{lightning} - \restoresymbol{WASY}{Box} - \restoresymbol{WASY}{Diamond} - } - {} - -\newif\ifPI -\newcommand\PI{\pkgname{pifont}} -\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}[2000/05/01] % Major rewrite at this version. - \global\MARVtrue - \@ifundefined{Denarius} % \Denarius is a newer symbol. - {\global\MARVfalse} - {} - \@ifundefined{MVRightarrow} % \Mvrightarrow is an even 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} - } - {} - -\newif\ifTIPA -\newcommand\TIPA{\pkgname{tipa}} -\IfStyFileExists{tipa} - {\TIPAtrue\usepackage[safe]{tipa}} - {} - -\newif\ifTIPX -\newcommand\TIPX{\pkgname{tipx}} -\IfStyFileExists{tipx} - {\TIPXtrue\usepackage{tipx}} - {} - -\newif\ifXIPA -\newcommand\XIPA{\pkgname{extraipa}} -\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]{} - % Load txfonts. - \savesymbol{angle} \savesymbol{rightleftharpoons} - \usepackage{txfonts} - \restoresymbol{TX}{angle} \restoresymbol{TX}{rightleftharpoons} - % Restore the old font commands. - \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, \textsterling, \mathcent, \mathsterling, \L, \l, - % and \r the only symbols that get screwed up? - \let\origtextcent=\textcent - \gdef\textcent{{\fontencoding{TS1}\selectfont\origtextcent}} - \let\origtextsterling=\textsterling - \gdef\textsterling{{\fontencoding{TS1}\selectfont\origtextsterling}} - \DeclareTextCommand{\L}{OT1} - {\leavevmode\setbox\z@\hbox{L}\hb@xt@\wd\z@{\hss\@xxxii L}} - \DeclareTextCommand{\l}{OT1} - {{\@xxxii l}} - \DeclareTextAccent{\r}{OT1}{23} - \renewcommand{\mathcent}{\mbox{\usefont{OT1}{txr}{m}{n}\char"A2}} - \renewcommand{\mathsterling}{\mbox{\usefont{OT1}{txr}{m}{n}\char"A3}} - } - {} -\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 - % 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}} -\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{etc} - \savesymbol{see} - \usepackage{skak} - \restoresymbol{SKAK}{etc} - \restoresymbol{SKAK}{see} - \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{\skull}{{\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}}} - {} - -\newif\ifYH -\newcommand\YH{\pkgname{yhmath}} -\IfStyFileExists{yhmath} - {\YHtrue - \let\origRequirePackage=\RequirePackage % We don't want amsmath loaded. - \def\RequirePackage##1{} - \usepackage{yhmath} - \let\RequirePackage=\origRequirePackage - } - {} - -% 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}{psy}{m}{n}\char##4}}% - } - \renewcommand{\SetSymbolFont}[6]{} - \usepackage[Symbol]{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}. We redefine \AtBeginDocument to force - % mathtools to define everything immediately. - \let\origAtBeginDocument=\AtBeginDocument - \def\AtBeginDocument##1{##1} - \usepackage[donotfixamsmathbugs]{mathtools} - \let\AtBeginDocument=\origAtBeginDocument - - \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}} - {} - -\newif\ifARCS -\newcommand\ARCS{\pkgname{arcs}} -\IfStyFileExists{arcs} - {\ARCStrue - \usepackage{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 dblaccent.sty, as these affect other -% things in the document. -\newif\ifVIET -\newcommand\VIET{\pkgname{vntex}} -\makeatletter -\IfStyFileExists{vietnam} - {\VIETtrue\input{t5enc.def}} - {} -\makeatother - -\newif\ifPHONFC -\newcommand\PHONFC{\pkgname{t4phonet}} -\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\usepackage{hieroglf}} - {} - -\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}} - % Symbols from mdputrmb - \DeclareFontEncoding{MDB}{}{} - \DeclareFontFamily{MDB}{mdput}{} - \DeclareFontShape{MDB}{mdput}{m}{n}{<-> mdputrmb}{} - \newcommand*{\textMDESb}[1]{{\usefont{MDB}{mdput}{m}{n}##1}} - \DeclareRobustCommand{\MDESsmallin}{\textMDESb{\char"0}} - \DeclareRobustCommand{\MDESsmallowns}{\textMDESb{\char"1}} - \DeclareRobustCommand{\MDESnotsmallin}{\textMDESb{\char"2}} - \DeclareRobustCommand{\MDESnotsmallowns}{\textMDESb{\char"3}} - \DeclareRobustCommand{\MDESrightangle}{\textMDESb{\char"4}} - \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}} - } - {} - -\newif\ifAREV -\newcommand\AREV{\pkgname{arev}} -\ifMDES % AREV requires MDES to function properly. -\makeatletter -\IfStyFileExists{arev} - {\AREVtrue - % Store the package date but otherwise do nothing. - \let\origRequirePackage=\RequirePackage - \let\RequirePackage=\@gobble - \usepackage{arev} - \let\RequirePackage=\origRequirePackage - % Define the characters we actually plan to display without actually - % changing the font to Arev Sans. - \DeclareFontFamily{U}{zavm}{} - \DeclareFontShape{U}{zavm}{m}{n}{<-> favmr7y}{} - \newcommand*{\textAREV}[1]{{\usefont{U}{zavm}{m}{n}##1}} - \DeclareRobustCommand{\varspade}{\textAREV{\char"55}} - \DeclareRobustCommand{\varheart}{\textAREV{\char"56}} - \DeclareRobustCommand{\vardiamond}{\textAREV{\char"57}} - \DeclareRobustCommand{\varclub}{\textAREV{\char"58}} - \DeclareRobustCommand{\steaming}{\textAREV{\char"59}} - \DeclareRobustCommand{\AREVquarternote}{\textAREV{\char"5A}} - \DeclareRobustCommand{\AREVeighthnote}{\textAREV{\char"5B}} - \DeclareRobustCommand{\AREVsixteenthnote}{\textAREV{\char"5C}} - } - {} -\makeatother -\fi - -% 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}} -\IfStyFileExists{MnSymbol} - {\MNStrue - \let\origProvidesPackage=\ProvidesPackage - \def\ProvidesPackage##1[##2]{\origProvidesPackage{##1}[##2]\endinput} - \usepackage{MnSymbol}[2007/01/21] - \let\ProvidesPackage=\origProvidesPackage - \usepackage{fakeMnSymbol} - } - {} - -% 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}}} - } - {} - -\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{\smallbosonloop}{\feyn{\char"20}} - \DeclareRobustCommand{\bigbosonloop}{\feyn{\char"21}} - } - {} - -% The universal package defines characters only locally within -% \textbayer or in a group containing \bayer. Therefore, we need only -% to make \chardef temporarily export its symbols globally. -\newif\ifBAYER -\newcommand\BAYER{\pkgname{universal}} -\IfStyFileExists{universal} - {\BAYERtrue - \let\origlcurly=\{ - \let\origrcurly=\} - \let\origbar=\| - \let\origS=\S - \savesymbol{baucircle} \savesymbol{bausquare} \savesymbol{bautriangle} - \savesymbol{bauforms} \savesymbol{bauhead} - \usepackage{universal} - \begingroup - \def\chardef##1="##2##3{% - \gdef##1{{\usefont{OT1}{universal}{m}{n}\char"##2##3}}% - }% - \bayer - \endgroup - \let\{=\origlcurly - \let\}=\origrcurly - \let\|=\origbar - \let\S=\origS - \restoresymbol{BAYER}{baucircle} \restoresymbol{BAYER}{bausquare} - \restoresymbol{BAYER}{bautriangle} - \restoresymbol{BAYER}{bauforms} \restoresymbol{BAYER}{bauhead} - } - {} - -\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} - \IGOtrue\usepackage{igo} - \restoresymbol{IGO}{black} - \restoresymbol{IGO}{white} - \restoresymbol{IGO}{repeat} - % Define a version of \whitestone and \blackstone that avoid - % bracketed arguments. - \DeclareRobustCommand{\igowhitestone}[1]{\whitestone[##1]} - \DeclareRobustCommand{\igoblackstone}[1]{\blackstone[##1]} - } - {} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -% 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{geometry} - \@ifpackagelater{geometry}{2000/01/01}{\geometry{compat2}} - } - {} -\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 ot2enc.def, use it (to show how to produce a Cyrillic "sha"). -\newif\ifOTII -\IfFileExists{ot2enc.def} - {\OTIItrue\input{ot2enc.def}} - {} - -% If we have needspace.sty, use it. Otherwise, define \needspace as a no-op. -\IfStyFileExists*{needspace} - {\usepackage{needspace}} - {\newcommand{\needspace}[1]{}} - -% 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}} - {} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% 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}}} - {} - -\IfStyFileExists{calligra} - {\savesymbol{filename} - \usepackage{calligra} - \restoresymbol{CAL}{filename} - \newcommand{\mathcalligra}[1]{\mbox{\usefont{T1}{calligra}{m}{n} ##1}} - } - {} - -\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}}} - {} - -\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 - -% % -% % -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -% 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 - \newcommand{\indexpunct}[2][]{% - \def\first@arg{#1}% - \ifx\first@arg\@empty - \expandafter\index\expandafter{_=\string\verb+\string#2+}% - \else - \expandafter\index\expandafter{_=\string\verb+\string#2+ (#1)}% - \fi - } -\makeatother - -% Enable the use of makeindex's nicer-looking gind.ist style. -% I swiped the following from doc.dtx. -\makeatletter -\newif\ifscan@allowed -\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}% -\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 count the number of lines in the -% .ind file that contain "\item \verb". Write an empty definition of -% \approxcount and the correct definition of \prevtotalsymbols to the -% .aux file. -\makeatletter - \@ifundefined{prevtotalsymbols}{% - \def\prevtotalsymbols{\fbox{\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[-\adp]{\awd}{\aht}}}} - {\newcommand*{\graybox}{\rule[-\adp]{\awd}{\aht}}} - -% Define \blackacc to display an accented box, given an accent command. -% Define \blackacchack to display an accented "a" and then black out -% the "a". -\newlength\awd -\newlength\aht -\newlength\adp -\settowidth{\awd}{a} -\settoheight{\aht}{a} -\settodepth{\adp}{a} -\advance\aht by \adp -\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[#1]{#2}#1 &\ttfamily\string#2} - \def\K@no@opt@arg#1{\incsyms\indexcommand[#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\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\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} -\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} -\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{\incsyms\indexaccent[\string\encone{\string\blackacc{\string#1}}]{#1}{\encone{#1{A}#1{a}}} & - \ttfamily\string#1\string{A\string}\string#1\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\Tp#1{\incsyms\indexcommand{\ding}\ding{#1} &\ttfamily\string\ding\string{#1\string}} -\def\Tm#1{\incsyms\indexcommand{\maya}$\mayadigit{#1}$ &\ttfamily\string\maya\string{#1\string}} -\newcommand{\V}[2][]{\incsyms#1 & \indexcommand[#2]{#2}#2 &\ttfamily\string#2} -\newcommand{\Vp}[2][]{\incsyms#1 & \indexpunct[$#2$]{#2}#2 &\ttfamily\string#2} -\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\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\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. \cmdIp is also similar to \cmdI but -% takes no optional argument and 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}[1]{\texttt{\string#1}\indexpunct[$#1$]{#1}} -\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{\ltextregistered}{\textcircled{\scshape r}} -\DeclareTextCommandDefault{\ltexttrademark}{\textsuperscript{TM}} -\DeclareTextCommandDefault{\ltextordfeminine}{\textsuperscript{a}} -\DeclareTextCommandDefault{\ltextordmasculine}{\textsuperscript{o}} - - -% 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}{% - \begin{tablenote} - Where two symbols are present, the left one is the ``faked'' symbol - that \latexE{} provides by default, and the right one is the ``true'' - symbol that \TC\ makes available. - \end{tablenote} -} - -\newcommand{\notpredefinedmessage}{% - \begin{tablenote}[*] - Not predefined in \latexE. Use one of the packages - \pkgname{latexsym}, \pkgname{amsfonts}, \pkgname{amssymb}, - \pkgname{txfonts}, \pkgname{pxfonts}, or \pkgname{wasysym}. - \end{tablenote} -} - -\newcommand{\notpredefinedmessageABX}{% - \begin{tablenote}[*] - Not predefined in \latexE. Use one of the packages - \pkgname{latexsym}, \pkgname{amsfonts}, \pkgname{amssymb}, - \pkgname{mathabx}, \pkgname{txfonts}, \pkgname{pxfonts}, or - \pkgname{wasysym}. - \end{tablenote} -} - -\newcommand{\usetextmathmessage}[1][]{% - \begin{tablenote}[#1] - It's generally preferable to use the corresponding symbol from - Table~\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% -} - - -% 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 a subsubsection that looks like a -% subsection), 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} -\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} - \addtocounter{table}{1}% - \protected@edef\@currentlabel{\thetable}% - \addcontentsline{toc}{subsubsection}{% - \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 - \needspace{7\baselineskip}% - \mbox{}% - \begin{center}% - \addtocounter{table}{1}% - \protected@edef\@currentlabel{\thetable}% - \addcontentsline{toc}{subsubsection}{% - \protect\numberline{\tablename~\thetable:}{#2}}% - \@makecaption{\fnum@table}{#2}% - \def\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. - \addtocounter{table}{-1} % Make up for longtable's counter increment. - \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]{\mbox{}\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 - -% Make sure we have enough room in the table of contents for -% the word "Table" at the beginning of each symtable entry. -\makeatletter -\settowidth{\@tempdimc}{Table~999:\hspace*{0.5em}} -\renewcommand*\l@subsubsection{\@dottedtocline{3}{1.5em}{\the\@tempdimc}} -\makeatother - -% 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 but must be -% declared here in the preamble. -\ifAMS - \DeclareMathOperator{\newlogsym}{newlogsym} - \DeclareMathOperator*{\newlogsymSTAR}{newlogsym} - \DeclareMathOperator{\atan}{atan} - \DeclareMathOperator*{\lcm}{lcm} -\fi -\DeclareFontFamily{U}{lightbulb}{} -\DeclareFontShape{U}{lightbulb}{m}{n}{<-> lightbulb10}{} -\newcommand{\lightbulb}{{\usefont{U}{lightbulb}{m}{n}A}} - -% 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. -\ifx\pdfoutput\undefined -\else - \ifx\pdfoutput\relax - \else - \ifcase\pdfoutput - \else - \DeclareGraphicsExtensions{.png,.pdf,.jpg,.mps,.tif,.eps} - \DeclareGraphicsRule{.eps}{mps}{*}{} - \fi - \fi -\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}}% -} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\begin{document} -\sloppy -\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 - Comprehensive\idxCTAN{} \TeX{} Archive Network - (\url{http://www.ctan.org/}). -\end{abstract} - -\tableofcontents - -% 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}% - {\clearpage\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) -% * Mellin transform (script M) -% * null space (script N) -% * order of (script o) -% * radius (script r) -% * real line (script R) -% * Schwartz class (script S) -% * volume (script V) -% -\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 -\indexMA[\mathscr{F}]{Fourier transform} -\indexMA[\mathscr{H}]{Hamiltonian} -\indexMA[\mathscr{H}]{Hilbert space} -\indexMA[\mathscr{L}]{Lagrangian} -\indexMA[\mathscr{L}]{Laplace transform} -\indexMA[\mathcal{L}]{Lie derivative} -\indexMA[\mathscr{P}]{power set} -\indexMA[\mathscr{E}]{electromotive force} -\indexMA[\mathcal{O}]{local ring} -\indexMA[$\mathbbm{C}$]{complex numbers} -%\indexMA{imaginary numbers} -\indexMA[$\mathbbm{Z}$]{integers} -\indexMA[$\mathbbm{N}$]{natural numbers} -\indexMA{number sets} -%\indexMA{prime numbers} -\indexMA[$\mathbbm{1}$]{unity} -\indexMA[$\mathbbm{D}$]{open unit disk} -\indexMA[$\mathbbm{D}$]{unit disk} -\indexMA[$\mathbbm{H}$]{quaternions} -\indexMA[$\mathbbm{Q}$]{rational numbers} -\indexMA[$\mathbbm{R}$]{real numbers} -\indexMA[$\mathbbm{T}$]{torus} -\indexMA{script letters} -\indexMA{blackboard bold} -\indexMA{fraktur} -\indexMA{moduli space} -\indexMA{Schwartz distribution spaces} - -% Provide "see ..."s for every accent whose name I happen to know. -\index{arc|see{accents}} -\index{breve|see{accents}} -\index{caron|see{accents}} -\index{cedilla|see{accents}} -\index{circumflex|see{accents}} -\index{diaeresis=di\ae{}resis|see{accents}} -\index{hacek=h\'{a}\v{c}ek|see{accents}} -\index{Hungarian umlaut|see{accents}} -\index{macron|see{accents}} -\index{ogonek|see{accents}} -\index{umlaut|see{accents}} - -% Provide "see ..."s for the common logical 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|see{\texttt{\string\wedge}}} -\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{operators>set|see{set operators}} -\index{union|see{\texttt{\string\cup}}} -\index{intersection|see{\texttt{\string\cap}}} -\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}}} - -% 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\#}}} -\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{\texttt{\string\_}}} -\index{less-than signs|see{inequalities}} -\index{greater-than signs|see{inequalities}} -\index{plus-or-minus sign|see{\texttt{\string\pm}}} - -% Provide "see ..."s for various musical symbols. -\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}} - -% Provide a few other useful "see ..."s. -\index{CTAN|see{Comprehensive \TeX{} Archive Network}} -\index{letters|see{alphabets}} -\index{numbers|see{digits}} -\index{degrees|see{\texttt{\string\textdegree}}} -\index{registered trademark|see{\texttt{\string\textregistered}}} -\index{trademark|see{\texttt{\string\texttrademark}}} -\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}}} -\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{transversality|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}}} -\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}}} -\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{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{par|see{\texttt{\string\invamp}}} -\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{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|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 -\ifSKAK - \index{king|see{chess symbols}} - \index{queen|see{chess symbols}} - \index{castle|see{chess symbols}} - \index{rook|see{chess symbols}} - \index{bishop|see{chess symbols}} - \index{knight|see{chess symbols}} - \index{pawn|see{chess symbols}} -\fi % SKAK test -\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 - -% "See also"s should appear after all page references. -\providecommand*\seealso[2]{\emph{\alsoname}#1} -\providecommand*\alsoname{see also} -\AtEndDocument{% - \index{carriage return|seealso{\string\texttt{\string\string\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 -} - -% 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 - -% Double brackets are defined by both ST and ABX. -\ifABX - \ifST - \index{semantic valuation|see{\texttt{\string\llbracket}/\texttt{\string\rrbracket} - \emph{and} \texttt{\string\ldbrack}/\texttt{\string\rdbrack}}} - \else - \index{semantic valuation|see{\texttt{\string\ldbrack}/\texttt{\string\rdbrack}}} - \fi -\else - \ifST - \index{semantic valuation|see{\texttt{\string\llbracket}/\texttt{\string\rrbracket}}} - \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{trademark|see{\texttt{\string\texttrademark}}} -%\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} - -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 Comprehensive\idxCTAN{} - \TeX{} Archive Network (\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, not just by - \cmd{\char}\meta{number}. -\end{enumerate} - -\noindent -These 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 -\url{http://www.tex.ac.uk/cgi-bin/texfaq2html?label=instpackages+wherefiles} -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 Table~\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 Section~\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}''. - -Section~\ref{addl-info} contains some additional information about the -symbols in this document. It 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, -presents a \latex{} ASCII\index{ASCII} and Latin~1\index{Latin 1} -tables, 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. - - -\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}, \={\i}, \^{\i}, etc.\ (versus \'i, \`i, \=i, and \^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{$\dashint$} - {\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{tildes}} -\end{symbolfaq} - -\fi % ifcomplete - - -\section{Body-text symbols} -\label{body-text-symbols} -\idxbothbegin{body-text}{symbols} - -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} -\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{space, visible} -\index{inequalities} -\index{tilde} -\index{copyright} -\idxboth{dot}{symbols} -\index{dots (ellipses)} \index{ellipses (dots)} -\idxboth{legal}{symbols} -\label{text-predef} -\begin{tabular}{lll@{\qqquad}lll} -\V\textasciicircum & \V\textless \\ -\V\textasciitilde & \V[\ltextordfeminine]\textordfeminine \\ -\V\textasteriskcentered & \V[\ltextordmasculine]\textordmasculine \\ -\V\textbackslash & \V\textparagraph$^*$ \\ -\V\textbar & \V\textperiodcentered \\ -\V\textbraceleft$^*$ & \V\textquestiondown \\ -\V\textbraceright$^*$ & \V\textquotedblleft \\ -\V\textbullet & \V\textquotedblright \\ -\V[\ltextcopyright]\textcopyright$^*$ - & \V\textquoteleft \\ -\V\textdagger$^*$ & \V\textquoteright \\ -\V\textdaggerdbl$^*$ & \V[\ltextregistered]\textregistered \\ -\V\textdollar$^*$ & \V\textsection$^*$ \\ -\V\textellipsis$^*$ & \V\textsterling$^*$ \\ -\V\textemdash & \V[\ltexttrademark]\texttrademark \\ -\V\textendash & \V\textunderscore$^*$ \\ -\V\textexclamdown & \V\textvisiblespace \\ -\V\textgreater \\ -\end{tabular} - -\bigskip -\twosymbolmessage - -\bigskip -\usetextmathmessage[*] - -\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} -\V\$ & \V\_ & \V\ddag & \Vp\{ \\ -\V\P & \V[\ltextcopyright]\copyright - & \V\dots & \Vp\} \\ -\V\S & \V\dag & \V\pounds \\ -\end{tabular} - -\bigskip -\twosymbolmessage -\end{symtable} - - -\begin{symtable}[AMS]{\AMS\ Commands Defined to Work in Both Math and Text Mode} -\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@{\hspace*{3em}}}ll} -\K\aa & \Ks\DH & \K\L & \K\o & \K\ss \\ -\K\AA & \Ks\dh & \K\l & \K\O & \K\SS \\ -\K\AE & \Ks\DJ & \Ks\NG & \K\OE & \Ks\TH \\ -\K\ae & \Ks\dj & \Ks\ng & \K\oe & \Ks\th \\ -\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}[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} -\label{punc-no-OT1} -\begin{tabular}{*8l} -\Kt\guillemotleft & \Kt\guilsinglleft & \Kt\quotedblbase & \Kt\textquotedbl \\ -\Kt\guillemotright & \Kt\guilsinglright & \Kt\quotesinglbase \\ -\end{tabular} - -\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}} -\Tp{123} & \Tp{125} & \Tp{161} & \Tp{163} \\ -\Tp{124} & \Tp{126} & \Tp{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{symtable}[TIPX]{\TIPX\ 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{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{symtable} - - -\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}{*8l} -\K\DH & \K\dh & \K\openo \\ -\K\Thorn & \K\inve & \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 - (Table~\vref{fc}) - \fi % FC - but using the same names as - \ifTIPA - the \TIPA\ characters presented in Table~\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@{\hspace*{3em}}ll} -\K\Alif & \K\Ayn \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}{Text-mode Accents} -\index{accents} -\label{text-accents} -\begin{tabular}{*3{ll@{\hspace*{3em}}}ll} -\Q\" & \Q\` & \Q\d & \Q\r \\ -\Q\' & \QivBAR\ddag & \Qiv\G\ddag & \Q\t \\ -\Q\. & \Q\~ & \Qv\h\S & \Q\u \\ -\Qe[\magicequal][\magicequalname]\= & \Q\b & \Q\H & \Qiv\U\ddag \\ -\Q\^ & \Q\c & \Qt\k$^\dag$ & \Q\v \\ -\end{tabular} -\par\medskip -\begin{tabular}{ll@{\hspace*{3em}}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} - -\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. For - example, ``\verb|na\"{\i}ve|'' produces a correct ``na\"{\i}ve'', - while ``\verb|na\"{i}ve|'' would yield the rather odd-looking - ``na\"{i}ve''. (``\verb|na\"{i}ve|'' \emph{does} work in encodings - other than OT1, however.) -\end{tablenote} -\end{symtable} - - -\begin{longsymtable}[TIPA]{\TIPA\ Text-mode Accents} -\ltindex{accents} -\index{tilde} -\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\textdotbreve \\ -\Q\textdoublegrave \\ -\Q\textdoublevbaraccent \\ -\Q\textgravecircum \\ -\Q\textgravedot \\ -\Q\textgravemacron \\ -\Q\textgravemid \\ -\Q\textinvsubbridge \\ -\Q\textlowering \\ -\Q\textmidacute \\ -\Q\textovercross \\ -\Q\textoverw \\ -\Q\textpolhook \\ -\Q\textraising \\ -\Q\textretracting \\ -\Q\textringmacron \\ -\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@{\hspace*{3em}}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} -\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 - ``\acbar{\"}{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} -\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 Table~\vref{text-accents}) but - using the same names as - \ifTIPA - the \TIPA\ accents presented in Table~\vref{tipa-accents}. - \else - the \TIPA\ package. - \fi % TIPA -\end{tablenote} -\end{symtable} - - -\begin{symtable}[ARCS]{\ARCS\ Text-mode Accents} -\index{accents} -\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}. -\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@{\hspace*{3em}}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}[WIPA]{\WIPA\ Diacritics} -\index{accents} -\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} -\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. -\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\EUR & \K\EURdig & \K\EURtm & \K\Pfund \\ -\K\Ecommerce & \K\EURcr & \K\EURhv & \K\EyesDollar & \K\Shilling \\ -\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 - Table~\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}[WASY]{\WASY\ Currency Symbols} -\idxboth{currency}{symbols} -\idxboth{monetary}{symbols} -\label{wasy-currency} -\begin{tabular}{*2{ll}} -\K\cent & \K\currency \\ -\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}{\TC\ Legal Symbols} -\index{copyright} -\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 -\medskip -\begin{tablenote} - \hspace*{15pt}% - See \url{http://www.tex.ac.uk/cgi-bin/texfaq2html?label=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}[CCLIC]{\CCLIC\ Creative Commons License Icons} -\index{Creative Commons licenses} -\index{copyright} -\idxboth{legal}{symbols} -\label{creativecommons} -\begin{tabular}{*4{ll@{\hspace*{3em}}}ll} -\K\cc & \K\ccby & \K\ccnc$^*$ & \K\ccnd & \K\ccsa$^*$ \\ -\end{tabular} - -\bigskip -\begin{tablenote}[*] - These symbols utilize the \pkgname{rotating} package and therefore - display improperly in most DVI\index{DVI} viewers. -\end{tablenote} -\end{symtable} - - -\begin{symtable}{\TC\ Old-style Numerals} -\idxboth{old-style}{digits} -\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} -\idxboth{musical}{symbols} -\index{tilde} -\label{tc-misc} -\begin{tabular}{lll@{\qquad}lll} -\V\textasteriskcentered & \V[\ltextordfeminine]\textordfeminine \\ -\V\textbardbl & \V[\ltextordmasculine]\textordmasculine \\ -\V\textbigcircle & \V\textparagraph$^*$ \\ -\V\textblank & \V\textperiodcentered \\ -\V\textbrokenbar & \V\textpertenthousand \\ -\V\textbullet & \V\textperthousand \\ -\V\textdagger$^*$ & \V\textpilcrow \\ -\V\textdaggerdbl$^*$ & \V\textquotesingle \\ -\V\textdblhyphen & \V\textquotestraightbase \\ -\V\textdblhyphenchar & \V\textquotestraightdblbase \\ -\V\textdiscount & \V\textrecipe \\ -\V\textestimated & \V\textreferencemark \\ -\V\textinterrobang & \V\textsection$^*$ \\ -\V\textinterrobangdown & \V\textthreequartersemdash \\ -\V\textmusicalnote & \V\texttildelow \\ -\V\textnumero & \V\texttwelveudash \\ -\V\textopenbullet \\ -\end{tabular} - -\bigskip -\twosymbolmessage - -\bigskip -\usetextmathmessage[*] - -\end{symtable} - - -\begin{symtable}[WASY]{Miscellaneous \WASY\ Text-mode Symbols} -\label{wasy-text} -\begin{tabular}{ll} -\K\permil \\ -\end{tabular} -\end{symtable} - - -\idxbothend{body-text}{symbols} - - -\section{Mathematical symbols} -\label{math-symbols} -\idxbothbegin{mathematical}{symbols} - -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 Table~\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}), -``$\coloneqq$''~(\cmdX{\coloneqq}), 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{math-text} -\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} -\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} -\end{symtable} - - -\begin{symtable}[ST]{\ST\ Binary Operators} -\idxboth{binary}{operators} -\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} -\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} -\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 above 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{symtable}[MNS]{\MNS\ Binary Operators} -\idxboth{binary}{operators} -\label{mns-bin} -\begin{tabular}{*3{ll}} -\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{tabular} - -\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{symtable} - - -\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 Table~\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$^*$ \\ -\end{tabular} - -\bigskip - -\begin{tablenote}[*] - \cmdI[\&]{\with} differs from~``\&'' 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}[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} -\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} -\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{symtable}{Variable-sized Math Operators} -\idxboth{variable-sized}{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[\varint]\int$^\dag$ & \R\iint & \R\iiint \\ -\R\varint$^*$ & \R\varoint$^*$ & \R\oiint \\ -\end{tabular} - -\bigskip -\begin{tablenote} - None of the preceding symbols are defined when \WASY\ is passed the - \optname{wasysym}{nointegrals} option. -\end{tablenote} - -\medskip -\begin{tablenote}[*] - Not defined when \WASY\ is passed the \optname{wasysym}{integrals} option. -\end{tablenote} - -\medskip -\begin{tablenote}[\dag] - Defined only when \WASY\ is passed the \optname{wasysym}{integrals} - option. Otherwise, the default \latex \cmdX{\int} glyph (as shown - in Table~\ref{op}) is used. -\end{tablenote} -\end{symtable} - - -\begin{symtable}[ABX]{\ABX\ Variable-sized Math Operators} -\idxboth{variable-sized}{symbols} -\index{integrals} -\label{abx-large} -\renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. -\begin{tabular}{*2{l@{$\:$}ll@{\qquad}}l@{$\:$}ll} -\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{tabular} -\end{symtable} - - -\begin{symtable}[TX]{\TXPX\ Variable-sized Math Operators} -\idxboth{variable-sized}{symbols} -\index{integrals} -\label{txpx-large} -\renewcommand{\arraystretch}{2.5} % Keep tall symbols from touching. -\begin{tabular}{l@{$\:$}ll@{\hspace{4em}}l@{$\:$}ll} -\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{tabular} -\end{symtable} - - -\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}[MNS]{\MNS\ Variable-sized Math Operators} -\idxboth{variable-sized}{symbols} -\index{integrals} -\label{mns-large} -\renewcommand{\arraystretch}{1.75} % Keep tall symbols from touching. -\begin{tabular}{*2{c@{\quad}cl@{\qquad}}c@{\quad}cl} -\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{tabular} - -\bigskip - -\begin{tablenote}[*] - \MNS\ defines \cmdI[\MNSdbigcupplus]{\biguplus} as a synonym for - \cmdI[\MNSdbigcupplus]{\bigcupplus}. -\end{tablenote} -\end{symtable} - - -\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}[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} -\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 & \X\propto & \X\vdash \\ -\X\dashv & \X\models & \X\sim \\ -\X\doteq & \X\parallel & \X\simeq \\ -\end{tabular} - -\bigskip -\notpredefinedmessageABX -\end{symtable} - - -\begin{symtable}[AMS]{\AMS\ Binary Relations} -\index{binary relations} -\index{relational symbols>binary} -\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} -\index{binary relations} -\index{relational symbols>binary} -\label{mns-rel} -\begin{longtable}{*4{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[\MNSeqcirc]\eqcirc & \K[\MNSnwfree]\nwfree & \K[\MNSshortparallel]\shortparallel \\ -\K[\MNSapproxeq]\approxeq & \K[\MNSeqdot]\eqdot & \K[\MNSnwmodels]\nwmodels & \K[\MNSsim]\sim \\ -\K[\MNSbackapprox]\backapprox & \K[\MNSeqsim]\eqsim & \K[\MNSnwModels]\nwModels & \K[\MNSsimeq]\simeq \\ -\K[\MNSbackapproxeq]\backapproxeq & \K[\MNSequal]\equal & \K[\MNSnwsecrossing]\nwsecrossing & \K[\MNSsucc]\succ \\ -\K[\MNSbackcong]\backcong & \K[\MNSequalclosed]\equalclosed & \K[\MNSnwseline]\nwseline & \K[\MNSsuccapprox]\succapprox \\ -\K[\MNSbackeqsim]\backeqsim & \K[\MNSequiv]\equiv & \K[\MNSNwseline]\Nwseline & \K[\MNSsucccurlyeq]\succcurlyeq \\ -\K[\MNSbacksim]\backsim & \K[\MNSequivclosed]\equivclosed & \K[\MNSnwvdash]\nwvdash & \K[\MNSsucceq]\succeq \\ -\K[\MNSbacksimeq]\backsimeq & \K[\MNSfallingdotseq]\fallingdotseq & \K[\MNSnwVdash]\nwVdash & \K[\MNSsuccsim]\succsim \\ -\K[\MNSbacktriplesim]\backtriplesim & \K[\MNShateq]\hateq & \K[\MNSprec]\prec & \K[\MNSswfootline]\swfootline \\ -\K[\MNSbetween]\between & \K[\MNShcrossing]\hcrossing & \K[\MNSprecapprox]\precapprox & \K[\MNSswfree]\swfree \\ -\K[\MNSbumpeq]\bumpeq & \K[\MNSleftfootline]\leftfootline & \K[\MNSpreccurlyeq]\preccurlyeq & \K[\MNSswmodels]\swmodels \\ -\K[\MNSBumpeq]\Bumpeq & \K[\MNSleftfree]\leftfree & \K[\MNSpreceq]\preceq & \K[\MNSswModels]\swModels \\ -\K[\MNScirceq]\circeq & \K[\MNSleftmodels]\leftmodels & \K[\MNSprecsim]\precsim & \K[\MNSswvdash]\swvdash \\ -\K[\MNSclosedequal]\closedequal & \K[\MNSleftModels]\leftModels & \K[\MNSrightfootline]\rightfootline & \K[\MNSswVdash]\swVdash \\ -\K[\MNSclosedprec]\closedprec & \K[\MNSleftpropto]\leftpropto & \K[\MNSrightfree]\rightfree & \K[\MNStriplesim]\triplesim \\ -\K[\MNSclosedsucc]\closedsucc & \K[\MNSleftrightline]\leftrightline & \K[\MNSrightmodels]\rightmodels & \K[\MNSupdownline]\updownline \\ -\K[\MNScong]\cong & \K[\MNSLeftrightline]\Leftrightline & \K[\MNSrightModels]\rightModels & \K[\MNSUpdownline]\Updownline \\ -\K[\MNScurlyeqprec]\curlyeqprec & \K[\MNSleftslice]\leftslice & \K[\MNSrightpropto]\rightpropto & \K[\MNSupfootline]\upfootline \\ -\K[\MNScurlyeqsucc]\curlyeqsucc & \K[\MNSleftvdash]\leftvdash & \K[\MNSrightslice]\rightslice & \K[\MNSupfree]\upfree \\ -\K[\MNSdoteq]\doteq & \K[\MNSleftVdash]\leftVdash & \K[\MNSrightvdash]\rightvdash & \K[\MNSupmodels]\upmodels \\ -\K[\MNSDoteq]\Doteq & \K[\MNSnefootline]\nefootline & \K[\MNSrightVdash]\rightVdash & \K[\MNSupModels]\upModels \\ -\K[\MNSdownfootline]\downfootline & \K[\MNSnefree]\nefree & \K[\MNSrisingdotseq]\risingdotseq & \K[\MNSuppropto]\uppropto \\ -\K[\MNSdownfree]\downfree & \K[\MNSnemodels]\nemodels & \K[\MNSsefootline]\sefootline & \K[\MNSupvdash]\upvdash \\ -\K[\MNSdownmodels]\downmodels & \K[\MNSneModels]\neModels & \K[\MNSsefree]\sefree & \K[\MNSupVdash]\upVdash \\ -\K[\MNSdownModels]\downModels & \K[\MNSneswline]\neswline & \K[\MNSsemodels]\semodels & \K[\MNSvcrossing]\vcrossing \\ -\K[\MNSdownpropto]\downpropto & \K[\MNSNeswline]\Neswline & \K[\MNSseModels]\seModels & \K[\MNSVvdash]\Vvdash \\ -\K[\MNSdownvdash]\downvdash & \K[\MNSnevdash]\nevdash & \K[\MNSseparated]\separated & \\ -\K[\MNSdownVdash]\downVdash & \K[\MNSneVdash]\neVdash & \K[\MNSsevdash]\sevdash & \\ -\K[\MNSeqbump]\eqbump & \K[\MNSnwfootline]\nwfootline & \K[\MNSseVdash]\seVdash & \\ -\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} -\index{binary relations>negated} -\index{relational symbols>negated binary} -\label{mns-rrel} -\begin{longtable}{*4{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[\MNSneqsim]\neqsim & \K[\MNSnnwModels]\nnwModels & \K[\MNSnsucc]\nsucc \\ -\K[\MNSnapproxeq]\napproxeq & \K[\MNSnequal]\nequal & \K[\MNSnnwseline]\nnwseline & \K[\MNSnsuccapprox]\nsuccapprox \\ -\K[\MNSnbackapprox]\nbackapprox & \K[\MNSnequalclosed]\nequalclosed & \K[\MNSnNwseline]\nNwseline & \K[\MNSnsucccurlyeq]\nsucccurlyeq \\ -\K[\MNSnbackapproxeq]\nbackapproxeq & \K[\MNSnequiv]\nequiv & \K[\MNSnnwvdash]\nnwvdash & \K[\MNSnsucceq]\nsucceq \\ -\K[\MNSnbackcong]\nbackcong & \K[\MNSnequivclosed]\nequivclosed & \K[\MNSnnwVdash]\nnwVdash & \K[\MNSnsuccsim]\nsuccsim \\ -\K[\MNSnbackeqsim]\nbackeqsim & \K[\MNSneswcrossing]\neswcrossing & \K[\MNSnprec]\nprec & \K[\MNSnswfootline]\nswfootline \\ -\K[\MNSnbacksim]\nbacksim & \K[\MNSnfallingdotseq]\nfallingdotseq & \K[\MNSnprecapprox]\nprecapprox & \K[\MNSnswfree]\nswfree \\ -\K[\MNSnbacksimeq]\nbacksimeq & \K[\MNSnhateq]\nhateq & \K[\MNSnpreccurlyeq]\npreccurlyeq & \K[\MNSnswmodels]\nswmodels \\ -\K[\MNSnbacktriplesim]\nbacktriplesim & \K[\MNSnleftfootline]\nleftfootline & \K[\MNSnpreceq]\npreceq & \K[\MNSnswModels]\nswModels \\ -\K[\MNSnbumpeq]\nbumpeq & \K[\MNSnleftfree]\nleftfree & \K[\MNSnprecsim]\nprecsim & \K[\MNSnswvdash]\nswvdash \\ -\K[\MNSnBumpeq]\nBumpeq & \K[\MNSnleftmodels]\nleftmodels & \K[\MNSnrightfootline]\nrightfootline & \K[\MNSnswVdash]\nswVdash \\ -\K[\MNSncirceq]\ncirceq & \K[\MNSnleftModels]\nleftModels & \K[\MNSnrightfree]\nrightfree & \K[\MNSntriplesim]\ntriplesim \\ -\K[\MNSnclosedequal]\nclosedequal & \K[\MNSnleftrightline]\nleftrightline & \K[\MNSnrightmodels]\nrightmodels & \K[\MNSnupdownline]\nupdownline \\ -\K[\MNSncong]\ncong & \K[\MNSnLeftrightline]\nLeftrightline & \K[\MNSnrightModels]\nrightModels & \K[\MNSnUpdownline]\nUpdownline \\ -\K[\MNSncurlyeqprec]\ncurlyeqprec & \K[\MNSnleftvdash]\nleftvdash & \K[\MNSnrightvdash]\nrightvdash & \K[\MNSnupfootline]\nupfootline \\ -\K[\MNSncurlyeqsucc]\ncurlyeqsucc & \K[\MNSnleftVdash]\nleftVdash & \K[\MNSnrightVdash]\nrightVdash & \K[\MNSnupfree]\nupfree \\ -\K[\MNSndoteq]\ndoteq & \K[\MNSnnefootline]\nnefootline & \K[\MNSnrisingdotseq]\nrisingdotseq & \K[\MNSnupmodels]\nupmodels \\ -\K[\MNSnDoteq]\nDoteq & \K[\MNSnnefree]\nnefree & \K[\MNSnsefootline]\nsefootline & \K[\MNSnupModels]\nupModels \\ -\K[\MNSndownfootline]\ndownfootline & \K[\MNSnnemodels]\nnemodels & \K[\MNSnsefree]\nsefree & \K[\MNSnupvdash]\nupvdash \\ -\K[\MNSndownfree]\ndownfree & \K[\MNSnneModels]\nneModels & \K[\MNSnsemodels]\nsemodels & \K[\MNSnupVdash]\nupVdash \\ -\K[\MNSndownmodels]\ndownmodels & \K[\MNSnneswline]\nneswline & \K[\MNSnseModels]\nseModels & \K[\MNSprecnapprox]\precnapprox \\ -\K[\MNSndownModels]\ndownModels & \K[\MNSnNeswline]\nNeswline & \K[\MNSnsevdash]\nsevdash & \K[\MNSprecnsim]\precnsim \\ -\K[\MNSndownvdash]\ndownvdash & \K[\MNSnnevdash]\nnevdash & \K[\MNSnseVdash]\nseVdash & \K[\MNSsuccnapprox]\succnapprox \\ -\K[\MNSndownVdash]\ndownVdash & \K[\MNSnneVdash]\nneVdash & \K[\MNSnshortmid]\nshortmid & \K[\MNSsuccnsim]\succnsim \\ -\K[\MNSneqbump]\neqbump & \K[\MNSnnwfootline]\nnwfootline & \K[\MNSnshortparallel]\nshortparallel & \\ -\K[\MNSneqcirc]\neqcirc & \K[\MNSnnwfree]\nnwfree & \K[\MNSnsim]\nsim & \\ -\K[\MNSneqdot]\neqdot & \K[\MNSnnwmodels]\nnwmodels & \K[\MNSnsimeq]\nsimeq & \\ -\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{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 \\ -\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 -\notpredefinedmessageABX -\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}{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{symtable}[AMS]{\AMS\ Triangle Relations} -\index{triangle relations}\index{relational symbols>triangle} -\label{ams-triangle-rel} -\begin{tabular}{*4{ll}} -\X\blacktriangleleft & \X\ntrianglelefteq & \X\trianglelefteq & \X\vartriangleleft \\ -\X\blacktriangleright & \X\ntriangleright & \X\triangleq & \X\vartriangleright \\ -\X\ntriangleleft & \X\ntrianglerighteq & \X\trianglerighteq \\ -\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}{*4{ll}} -\X[\ABXntriangleleft]\ntriangleleft & \X[\ABXntrianglerighteq]\ntrianglerighteq & \X[\ABXtriangleright]\triangleright & \X[\ABXvartriangleright]\vartriangleright \\ -\X[\ABXntrianglelefteq]\ntrianglelefteq & \X[\ABXtriangleleft]\triangleleft & \X[\ABXtrianglerighteq]\trianglerighteq & \\ -\X[\ABXntriangleright]\ntriangleright & \X[\ABXtrianglelefteq]\trianglelefteq & \X[\ABXvartriangleleft]\vartriangleleft & \\ -\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}{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 Table~\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} -\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} -\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} -\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} -\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{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}[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} -\idxboth{pitchfork}{symbols} -\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}[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}{Log-like Symbols} -\idxboth{log-like}{symbols} -\index{atomic math objects} -\index{limits} -\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 Section~\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 - Section~\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}{Greek Letters} -\index{Greek}\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 ``$\mu$''. See - Section~\ref{bold-math} for examples of how to produce bold Greek - letters.\index{Greek>bold} -\end{tablenote} -\end{symtable} - - -\begin{symtable}[AMS]{\AMS\ Greek Letters} -\index{Greek}\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{Greek}\index{alphabets>Greek} -\index{Greek>upright} -\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} -\end{symtable} - - -\begin{symtable}[UPGR]{\UPGR\ Upright Greek Letters} -\index{Greek}\index{alphabets>Greek} -\index{Greek>upright} -\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 the - \postscript \PSfont{Symbol} font (depicted above) or Euler - Roman.\index{Euler Roman} As a result, the glyphs may appear - slightly different from the above. Contrast, for example, - ``\Upgamma\Updelta\Uptheta\upalpha\upbeta\upgamma''~(Symbol) with - ``{\usefont{U}{eur}{m}{n}\char"00\char"01\char"02\char"0B\char"0C\char"0D}''~(Euler). -\end{tablenote} -\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}[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 Table~\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}{Letter-like Symbols} -\idxboth{letter-like}{symbols} -\index{tacks} -\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\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} -\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}[TRF]{\TRF\ Letter-like Symbols} -\idxboth{letter-like}{symbols} -\label{trf-letter-like} -\begin{tabular}{ll@{\hspace*{3em}}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 Table~\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@{\hspace*{3em}}}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}[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}[NATH]{\NATH\ Delimiters} -\index{delimiters} -\label{nath-del} -\begin{tabular}{ll@{\hspace*{3em}}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+|+, and \cmdX{\Vert} is a synonym for - \verb+\|+. - - $\varepsilon$-\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} -\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 - (Table~\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} -\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} -\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{symtable}[MNS]{\MNS\ Variable-sized Delimiters} -\index{delimiters} -\index{delimiters>variable-sized} -\idxboth{wavy-line}{delimiters} -\label{mns-var-dels} -\renewcommand{\arraystretch}{3} % Keep tall symbols from touching. -\begin{tabular}{lll@{\qquad}lll@{\hspace*{3em}}lll@{\qquad}lll} - -\KNbig[\MNStlceil][\MNSdlceil]\lceil & \KNbig[\MNStrceil][\MNSdrceil]\rceil & \KNbig[\MNStulcorner][\MNSdulcorner]\ulcorner & \KNbig[\MNSturcorner][\MNSdurcorner]\urcorner \\ -\KNbig[\MNStlfloor][\MNSdlfloor]\lfloor & \KNbig[\MNStrfloor][\MNSdrfloor]\rfloor & \KNbig[\MNStllcorner][\MNSdllcorner]\llcorner & \KNbig[\MNStlrcorner][\MNSdlrcorner]\lrcorner \\ -\KNbig[\MNStlwavy][\MNSdlwavy]\lwavy & \KNbig[\MNStrwavy][\MNSdrwavy]\rwavy & \KNbig[\MNStlangle][\MNSdlangle]\langle & \KNbig[\MNStrangle][\MNSdrangle]\rangle \\ -\KNbig[\MNStlWavy][\MNSdlWavy]\lWavy & \KNbig[\MNStrWavy][\MNSdrWavy]\rWavy & \KNbig[\MNStlanglebar][\MNSdlanglebar]\langlebar & \KNbig[\MNStranglebar][\MNSdranglebar]\ranglebar \\ -\KNbig[\MNStlparen][\MNSdlparen]( & \KNbig[\MNStrparen][\MNSdrparen]) & \KNbig[\MNStlgroup][\MNSdlgroup]\lgroup & \KNbig[\MNStrgroup][\MNSdrgroup]\rgroup \\ -\KNbig[\MNStlsem][\MNSdlsem]\lsem & \KNbig[\MNStrsem][\MNSdrsem]\rsem & \KNbig[\MNStllangle][\MNSdllangle]\llangle & \KNbig[\MNStrrangle][\MNSdrrangle]\rrangle \\ -\KNbig[\MNStlmoustache][\MNSdlmoustache]\lmoustache & \KNbig[\MNStrmoustache][\MNSdrmoustache]\rmoustache & \KNbig[\MNStlbrace][\MNSdlbrace]\lbrace & \KNbig[\MNStrbrace][\MNSdrbrace]\rbrace \\ -\KNbig[\MNStslash][\MNSdslash]/ & \KNbig[\MNStbackslash][\MNSdbackslash]\backslash & \KNbig[\MNStless][\MNSdless]< & \KNbig[\MNStgreater][\MNSdgreater]> \\ -\KNbig[\MNStlbracket][\MNSdlbracket]{[} & \KNbig[\MNStrbracket][\MNSdrbracket]{]} & \KNbig[\MNStullcorner][\MNSdullcorner]\ullcorner & \KNbig[\MNStulrcorner][\MNSdulrcorner]\ulrcorner \\ -\KNbig[\MNStvert][\MNSdvert]| & \KNbig[\MNStVert][\MNSdVert]\| & \KNbig[\MNStbracevert][\MNSdbracevert]\bracevert \\ -\KNbig[\MNStarrowvert][\MNSdarrowvert]\arrowvert & \KNbig[\MNStArrowvert][\MNSdArrowvert]\Arrowvert \\ -\end{tabular} - -\bigskip - -\begin{tablenote} - \cmdX{\vert} is a synonym for \verb+|+. \cmdX{\Vert} is a synonym - for \verb+\|+. \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{symtable} - - -\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} -\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+|+'' is a left or right delimiter. -\end{tablenote} - -\bigskip -\begin{tablenote} - All of the symbols in Table~\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 - Table~\ref{nath-var-dels-double}, \cmd{\ltriple} and \cmd{\rtriple} - must be used instead of \cmd{\triple} to disambiguate whether - ``\verb+|+'' 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}{\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}@{\hspace*{3em}}*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{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} - Also note the existence of \cmdX{\imath} and \cmdX{\jmath}, which - produce dotless versions of ``\textit{i}'' and ``\textit{j}''. (See - Table~\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} -\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}[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} -\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} since - June,~1998~\cite{ltnews09}. -\end{tablenote} -\end{symtable} - - -\begin{symtable}{Extensible Accents} -\index{accents} -\idxboth{extensible}{accents} -\idxboth{extensible}{arrows} -\index{tilde} -\index{tilde>extensible} -\index{extensible tildes} -\index{symbols>extensible} -\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}}} - - \index{long division|(} - \index{division|(} - \index{polynomial division|(} - - As demonstrated in a 1997 TUGboat\index{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\idxCTAN{} as - \texttt{longdiv.tex}% - \index{longdiv=\textsf{longdiv} (package)}% - \index{packages>\textsf{longdiv}}) that automatically solves and - typesets---by putting an \cmdW{\overline} atop ``\verb|\big)|'' and - the desired text---long-division problems. See also the - \pkgname{polynom} package, which automatically solves and typesets - polynomial-division problems in a similar manner. - - \index{long division|)} - \index{division|)} - \index{polynomial division|)} -\end{tablenote} - -\bigskip - -\begin{tablenote}[*] - These symbols are made more extensible by the \MNS\ package and even - more extensible by the \YH\ package. -\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} -\label{yhmath-extensible-accents} -\renewcommand{\arraystretch}{1.5} -\begin{tabular}{*4l} -\W\wideparen{abc} & \W\widetriangle{abc} \\[5pt] -\W\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} -\index{symbols>extensible} -\label{mns-extensible-accents} -\renewcommand{\arraystretch}{1.75} -\begin{tabular}{ll@{\qquad}ll} -\W[\MNSoverbrace]\overbrace{abc} & \W[\MNSunderbrace]\underbrace{abc} \\ -\W[\MNSovergroup]\overgroup{abc} & \W[\MNSundergroup]\undergroup{abc} \\ -\W[\MNSoverlinesegment]\overlinesegment{abc} & \W[\MNSunderlinesegment]\underlinesegment{abc} \\ -\W[\MNSoverleftharpoon]\overleftharpoon{abc} & \W[\MNSoverrightharpoon]\overrightharpoon{abc} \\ -\W[\MNSwidehat]\widehat{abc} & \W[\MNSwidetilde]\widetilde{abc} \\ -\W[\MNSwideparen]\wideparen{abc} \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[MTOOLS]{\MTOOLS\ Extensible Accents} -\idxboth{extensible}{accents} -\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} -\index{symbols>extensible} -\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}[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}[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\ package. -\end{tablenote} -\end{symtable} - - -\begin{symtable}[AMS]{\AMS\ Extensible 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} -\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} -\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} -\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}[TRF]{\TRF\ Extensible Arrows} -\index{accents} -\index{transforms} -\index{symbols>extensible} -\label{trf-arrows} -\begin{tabular}{ll@{\hspace*{2em}}ll} -\W\dft{a} & \W\DFT{a} \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[EXTAR]{\EXTAR\ Extensible 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} -\idxboth{extensible}{arrows} -\index{symbols>extensible} -\label{extpfeil-extensible-arrows} -\renewcommand{\arraystretch}{1.5} -\begin{tabular}{ll@{\qquad}ll} -\W[\XPFEILxlongequal]\xlongequal{abc} & \W[\XPFEILxmapsto]\xmapsto{abc} \\ -\W\xtwoheadleftarrow{abc} & \W\xtwoheadrightarrow{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}[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 Section~\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} 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 Table~\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 Table~\vref{mns-bin}. Also, unlike most of - the other dot symbols in this document, \MNS's dots are defined as - single characters instead of as composites of multiple single-dot - characters. -\end{tablenote} -\end{symtable} - - -\begin{symtable}[MDOTS]{\MDOTS\ Dots} -\index{dots (ellipses)} \index{ellipses (dots)} -\idxboth{dot}{symbols} -\label{mathdots-dots} -\begin{tabular}{ll} -\X[\MDOTSiddots]\iddots -\end{tabular} -\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}{\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}[ABX]{\ABX\ Mayan Digits} -\index{digits>Mayan} -\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}[MARV]{\MARV\ Digits} -\index{digits} -\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{fge-digits} -\idxboth{Frege logic}{symbols} -\label{fge-digits} -\begin{tabular}{ll@{\qquad}ll} -\K\fgestruckzero & \K\fgestruckone \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}{Miscellaneous \latexE{} Math Symbols} -\idxboth{miscellaneous}{symbols} -\index{card suits} -\index{diamonds (suit)} -\index{hearts (suit)} -\index{clubs (suit)} -\index{spades (suit)} -\idxboth{musical}{symbols} -\index{dots (ellipses)} -\index{ellipses (dots)} -\index{null set} -\index{dotless i=dotless $i~(\imath)$>math mode} -\index{dotless j=dotless $j~(\jmath)$>math mode} -\index{angles} -\label{ord} -\ifAMS - \def\AMSfn{$^\ddag$} -\else - \def\AMSfn{} -\fi -\begin{tabular}{*4{ll}} -\X\aleph & \X\Diamond$^*$ & \X\infty & \X\prime \\ -\X\angle & \X\diamondsuit & \X\mho$^*$ & \X\sharp \\ -\X\backslash & \X\emptyset\AMSfn & \X\nabla & \X\spadesuit \\ -\X\Box$^{*,\dag}$ & \X\flat & \X\natural & \X\surd \\ -\X\clubsuit & \X\heartsuit & \X\neg & \X\triangle \\ -\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}~(``$\lozenge$''); -\else - \cmd{\lozenge}; -\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} - (``$\varnothing$'', Table~\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{angles} -\label{ams-misc} -\begin{tabular}{*3{ll}} -\X[\AMSangle]\angle & \X\blacktriangledown & \X\mho \\ -\X\backprime & \X\diagdown & \X\sphericalangle \\ -\X\bigstar & \X\diagup & \X\square \\ -\X\blacklozenge & \X\eth & \X\triangledown \\ -\X\blacksquare & \X\lozenge & \X\varnothing \\ -\X\blacktriangle & \X\measuredangle & \X\vartriangle \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[WASY]{Miscellaneous \WASY\ Math Symbols} -\index{angles} -\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{card suits} -\index{diamonds (suit)} -\index{hearts (suit)} -\index{clubs (suit)} -\index{spades (suit)} -\label{txpx-misc} -\begin{tabular}{*3{ll}} -\X\Diamondblack & \X\lambdaslash & \X\varheartsuit \\ -\X\Diamonddot & \X\varclubsuit & \X\varspadesuit \\ -\X\lambdabar & \X\vardiamondsuit \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[ABX]{Miscellaneous \ABX\ Math Symbols} -\idxboth{miscellaneous}{symbols} -\index{null set} -\index{semidirect products} -\index{angles} -\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{angles} -\index{card suits} -\index{diamonds (suit)} -\index{hearts (suit)} -\index{clubs (suit)} -\index{spades (suit)} -\index{integrals} -\idxboth{musical}{symbols} -\label{mns-misc} -\begin{tabular}{*4{ll}} -\K[\MNSangle]\angle & \K[\MNSdiamondsuit]\diamondsuit & \K[\MNSmaltese]\maltese & \K[\MNSsharp]\sharp \\ -\K[\MNSbackneg]\backneg & \K[\MNSflat]\flat & \K[\MNSmeasuredangle]\measuredangle & \K[\MNSsmallint]\smallint \\ -\K[\MNSbackprime]\backprime & \K[\MNSheartsuit]\heartsuit & \K[\MNSnabla]\nabla & \K[\MNSspadesuit]\spadesuit \\ -\K[\MNScheckmark]\checkmark & \K[\MNSinfty]\infty & \K[\MNSnatural]\natural & \K[\MNSsphericalangle]\sphericalangle \\ -\K[\MNSclubsuit]\clubsuit & \K[\MNSinvbackneg]\invbackneg & \K[\MNSneg]\neg & \\ -\K[\MNSdiameter]\diameter & \K[\MNSinvneg]\invneg & \K[\MNSprime]\prime & \\ -\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 Table~\vref{mns-large} but can - nevertheless be used in isolation. -\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) 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}[MARV]{Miscellaneous \MARV\ Math Symbols} -\index{angles} -\label{marv-misc} -\begin{tabular}{*3{ll@{\qquad}}ll} -\K\Anglesign & \K\Squaredot & \K\Vectorarrowhigh \\ -\K\Corresponds & \K\Vectorarrow \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[FGE]{Miscellaneous \FGE\ Math Symbols} -\index{angles} -\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} - - -\begin{symtable}[AREV]{Miscellaneous \AREV\ Math Symbols} -\idxboth{miscellaneous}{symbols} -\index{card suits} -\index{diamonds (suit)} -\index{hearts (suit)} -\index{clubs (suit)} -\index{spades (suit)} -\label{arev-misc} -\begin{tabular}{*3{ll}} -\K\steaming & \K\vardiamond & \K\varspade \\ -\K\varclub & \K\varheart & \\ -\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}{@{}*3l@{}} -\toprule -Font sample & Generating command & Required package \\ -\midrule -\Wf\mathrm{ABCdef123} & \textit{none} \\ -\Ww\textit\mathit{ABCdef123} & \textit{none} \\ -\Wf\mathnormal{ABCdef123}& \textit{none} \\ -\Ww\CMcal\mathcal{ABC} & \textit{none} \\ - -\ifx\mathscr\undefined\else -\Wf\mathscr{ABC} & \pkgname{mathrsfs} \\ -\multicolumn{1}{r@{}}{\emph{or}} - &\verb|\mathcal{ABC}| - & \pkgname{calrsfs} \\ -\fi - -\ifEU -\Wf\mathcal{ABC} & \pkgname{euscript} with the - \optname{euscript}{mathcal} option \\ -\multicolumn{1}{r@{}}{\emph{or}} - &\verb|\mathscr{ABC}| - & \pkgname{euscript} with the - \optname{euscript}{mathscr} option \\ -\fi - -\ifx\mathpzc\undefined\else -\Wf\mathpzc{ABCdef123} & \textit{none}; manually defined$^*$ \\ -\fi - -\ifx\mathbb\undefined\else -\Wf\mathbb{ABC} & \pkgname{amsfonts},% - \ifx\MSYMmathbb\undefined\else$^\S$~\fi - \pkgname{amssymb}, \pkgname{txfonts}, or - \pkgname{pxfonts} \\ -\fi - -\ifx\varmathbb\undefined\else -\Wf\varmathbb{ABC} & \pkgname{txfonts} or \pkgname{pxfonts} \\ -\fi - -\ifx\BBmathbb\undefined\else -\Ww\BBmathbb\mathbb{ABCdef123} - & \pkgname{bbold} or \pkgname{mathbbol}$^\dag$ \\ -\fi - -\ifx\MBBmathbb\undefined\else -\Ww\MBBmathbb\mathbb{ABCdef123} - & \pkgname{mbboard}$^\dag$ \\ -\fi - -\ifx\mathbbm\undefined\else -\Wf\mathbbm{ABCdef12} & \pkgname{bbm} \\ -\Wf\mathbbmss{ABCdef12} & \pkgname{bbm} \\ -\Wf\mathbbmtt{ABCdef12} & \pkgname{bbm} \\ -\fi - -\ifx\mathds\undefined\else -\Wf\mathds{ABC1} & \pkgname{dsfont} \\ -\Ww\mathdsss\mathds{ABC1} - & \pkgname{dsfont} with the - \optname{dsfont}{sans} option \\ -\fi - -\ifx\mathfrak\undefined\else -\Wf\mathfrak{ABCdef123} & \pkgname{eufrak} \\ -\fi - -\ifx\textfrak\undefined\else -\Wf\textfrak{ABCdef123} & \pkgname{yfonts}$^\ddag$ \\ -\Wf\textswab{ABCdef123} & \pkgname{yfonts}$^\ddag$ \\ -\Wf\textgoth{ABCdef123} & \pkgname{yfonts}$^\ddag$ \\ -\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} -\ifx\mathpzc\undefined\else -\bigskip -\begin{tablenote}[*] - Put ``\verb|\DeclareMathAlphabet{\mathpzc}{OT1}{pzc}{m}{it}|'' in your - document's preamble to make \verb|\mathpzc| typeset its argument in - \PSfont{Zapf Chancery}. -\ifx\mathcalligra\undefined\else - As a similar trick, you can typeset the \PSfont{Calligra} font's - script ``{\Large\mathcalligra{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 -\end{tablenote} -\fi - -\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{matbbol}---Greek\index{Greek>blackboard bold} 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} - 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} - 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\textfrak\undefined\else -\bigskip -\begin{tablenote}[\ddag] - As their \verb|\text|\dots{} names imply, the fonts provided by the - \pkgname{yfonts} package are actually text fonts. They are - included in Table~\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\idxCTAN{}, 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} - -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} -\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} -\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@{\hspace{3em}}}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{mm<DDD>mm}|'' to get - ``\textifsym{mm<DDD>mm}'' 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}{digits} digits, as would appear on an - LCD\idxboth{LCD}{digits}: ``\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}[WASY]{\WASY\ Astronomical Symbols} -\idxboth{astronomical}{symbols} -\idxboth{astrological}{symbols} -\idxboth{zodiacal}{symbols} -\index{planets} -\index{celestial bodies} -\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{celestial bodies} -\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}[ABX]{\ABX\ Astronomical Symbols} -\idxboth{astronomical}{symbols} -\idxboth{astrological}{symbols} -\idxboth{zodiacal}{symbols} -\index{planets} -\index{celestial bodies} -\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}[WASY]{\WASY\ APL Symbols} -\index{APL>symbols} -\index{symbols>APL} -\label{wasy-APLsym} -\begin{tabular}{*6l} -\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 \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[WASY]{\WASY\ APL Modifiers} -\index{APL>modifiers} -\index{accents} -\label{wasy-APLmod} -\begin{tabular}{*2{ll@{\qqquad}}ll} -\W\APLcirc{} & \W\APLnot{} & \W\APLvert{} \\ -\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} -\label{keystroke} -\renewcommand{\arraystretch}{1.25} % Keep the symbols from touching. -\begin{tabular}{*2{ll@{\hspace*{3em}}}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{smiley faces} -\index{nonbreaking space} -\index{code page 437} -\index{faces} -\label{ibm-ascii} -\begin{tabular}{*4{ll@{\hspace{3em}}}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}[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} -\label{wasy-bio} -\begin{tabular}{*2{ll}} -\K\female & \K\male \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[MARV]{\MARV\ Biological Symbols} -\idxboth{biological}{symbols} -\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}[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{subatomic particles} -\label{feyn} -\renewcommand{\arraystretch}{1.75} % Keep tall symbols from touching. -\begin{tabular}{*3{ll}ll} -\K\bigbosonloop & \Kfeyn{fu} & \Kfeyn{gvs} & \Kfeyn{h} \\ -\Kfeyn{a} & \Kfeyn{fv} & \Kfeyn{gv} & \Kfeyn{ms} \\ -\Kfeyn{c} & \Kfeyn{f} & \Kfeyn{g} & \Kfeyn{m} \\ -\Kfeyn{fd} & \Kfeyn{glu} & \Kfeyn{hd} & \Kfeyn{p} \\ -\Kfeyn{fl} & \Kfeyn{gl} & \Kfeyn{hs} & \Kfeyn{x} \\ -\Kfeyn{fs} & \Kfeyn{gu} & \Kfeyn{hu} & \K\smallbosonloop \\ -\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} - - -\idxbothend{scientific}{symbols} -\idxbothend{technological}{symbols} - - -\section{Dingbats} -\idxbothbegin{dingbat}{symbols} - -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}} -\Tp{212} & \Tp{221} & \Tp{230} & \Tp{239} & \Tp{249} \\ -\Tp{213} & \Tp{222} & \Tp{231} & \Tp{241} & \Tp{250} \\ -\Tp{214} & \Tp{223} & \Tp{232} & \Tp{242} & \Tp{251} \\ -\Tp{215} & \Tp{224} & \Tp{233} & \Tp{243} & \Tp{252} \\ -\Tp{216} & \Tp{225} & \Tp{234} & \Tp{244} & \Tp{253} \\ -\Tp{217} & \Tp{226} & \Tp{235} & \Tp{245} & \Tp{254} \\ -\Tp{218} & \Tp{227} & \Tp{236} & \Tp{246} \\ -\Tp{219} & \Tp{228} & \Tp{237} & \Tp{247} \\ -\Tp{220} & \Tp{229} & \Tp{238} & \Tp{248} \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[BAYER]{\BAYER\ Arrows} -\index{arrows} -\label{bayer-arrows} -\begin{tabular}{*2{ll}} -\K\bauarrow & \K\bauwhitearrow \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[MARV]{\MARV\ Scissors} -\index{scissors} -\label{marv-scissors} -\begin{tabular}{*3{ll}} -\K\Cutleft & \K\Cutright & \K\Leftscissors \\ -\K\Cutline & \K\Kutline & \K\Rightscissors \\ -\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}} -\Tp{33} & \Tp{34} & \Tp{35} & \Tp{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}[DING]{\DING\ Pencils and Nibs} -\index{pencils} -\index{nibs} -\label{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}} -\Tp{46} & \Tp{47} & \Tp{48} & \Tp{49} & \Tp{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}} -\Tp{42} & \Tp{43} & \Tp{44} & \Tp{45} \\ -\end{tabular} -\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}} -\Tp{57} & \Tp{59} & \Tp{61} & \Tp{63} \\ -\Tp{58} & \Tp{60} & \Tp{62} & \Tp{64} \\ -\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}} -\Tp{51} & \Tp{53} & \Tp{55} \\ -\Tp{52} & \Tp{54} & \Tp{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}[BAYER]{\BAYER\ Xs} -\index{Xs} -\label{bayer-check-marks} -\begin{tabular}{ll} -\K\baucross \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[PI]{\PI\ Circled Numbers} -\index{circled numbers} -\index{numbers>circled} -\label{circled-numbers} -\begin{tabular}{*4{ll}} -\Tp{172} & \Tp{182} & \Tp{192} & \Tp{202} \\ -\Tp{173} & \Tp{183} & \Tp{193} & \Tp{203} \\ -\Tp{174} & \Tp{184} & \Tp{194} & \Tp{204} \\ -\Tp{175} & \Tp{185} & \Tp{195} & \Tp{205} \\ -\Tp{176} & \Tp{186} & \Tp{196} & \Tp{206} \\ -\Tp{177} & \Tp{187} & \Tp{197} & \Tp{207} \\ -\Tp{178} & \Tp{188} & \Tp{198} & \Tp{208} \\ -\Tp{179} & \Tp{189} & \Tp{199} & \Tp{209} \\ -\Tp{180} & \Tp{190} & \Tp{200} & \Tp{210} \\ -\Tp{181} & \Tp{191} & \Tp{201} & \Tp{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{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{sparkles} -\index{snowflakes} -\index{stars} -\label{pi-star-like} -\begin{tabular}{*5{ll}} -\Tp{65} & \Tp{74} & \Tp{83} & \Tp{92} & \Tp{101} \\ -\Tp{66} & \Tp{75} & \Tp{84} & \Tp{93} & \Tp{102} \\ -\Tp{67} & \Tp{76} & \Tp{85} & \Tp{94} & \Tp{103} \\ -\Tp{68} & \Tp{77} & \Tp{86} & \Tp{95} & \Tp{104} \\ -\Tp{69} & \Tp{78} & \Tp{87} & \Tp{96} & \Tp{105} \\ -\Tp{70} & \Tp{79} & \Tp{88} & \Tp{97} & \Tp{106} \\ -\Tp{71} & \Tp{80} & \Tp{89} & \Tp{98} & \Tp{107} \\ -\Tp{72} & \Tp{81} & \Tp{90} & \Tp{99} \\ -\Tp{73} & \Tp{82} & \Tp{91} & \Tp{100} \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[WASY]{\WASY\ Geometric Shapes} -\index{polygons} -\index{geometric shapes} -\label{wasy-geometrical} -\begin{tabular}{*8l} -\K\hexagon & \K\octagon & \K\pentagon & \K\varhexagon -\end{tabular} -\end{symtable} - - -\begin{symtable}[MNS]{\MNS\ Geometric Shapes} -\index{polygons} -\index{stars} -\index{geometric shapes} -\label{mns-geometrical} -\begin{tabular}{*4{ll}} -\K[\MNSfilledlargestar]\filledlargestar & \K[\MNSlargediamond]\largediamond & \K[\MNSlargestar]\largestar & \K[\MNSsmalllozenge]\smalllozenge \\ -\K[\MNSfilledlozenge]\filledlozenge & \K[\MNSlargelozenge]\largelozenge & \K[\MNSlargestarofdavid]\largestarofdavid & \\ -\K[\MNSfilledmedlozenge]\filledmedlozenge & \K[\MNSlargepentagram]\largepentagram & \K[\MNSmedlozenge]\medlozenge & \\ -\K[\MNSlargecircle]\largecircle & \K[\MNSlargesquare]\largesquare & \K[\MNSmedstarofdavid]\medstarofdavid & \\ -\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}[IFS]{\IFS\ Geometric Shapes} -\index{circles} -\index{diamonds} -\index{geometric shapes} -\index{squares} -\index{triangles} -\label{ifs-geometrical} -\begin{tabular}{*3{ll}} -\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{tabular} - -\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 Section~\ref{combining-symbols} - for more information about constructing new symbols out of - existing symbols. - \end{morespacing} -\end{tablenote} -\end{symtable} - - -\begin{symtable}[DING]{\DING\ Geometric Shapes} -\index{circles} -\index{diamonds} -\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{diamonds} -\index{geometric shapes} -\index{rectangles} -\index{squares} -\index{triangles} -\label{pi-geometrical} -\begin{tabular}{*5{ll}} -\Tp{108} & \Tp{111} & \Tp{114} & \Tp{117} & \Tp{121} \\ -\Tp{109} & \Tp{112} & \Tp{115} & \Tp{119} & \Tp{122} \\ -\Tp{110} & \Tp{113} & \Tp{116} & \Tp{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}[BAYER]{\BAYER\ Geometric Shapes} -\index{circles} -\index{squares} -\index{triangles} -\index{geometric shapes} -\label{bayer-geometrical} -\begin{tabular}{*3{ll}} -\K[\BAYERbaucircle]\baucircle & \K\bauhole & \K[\BAYERbausquare]\bausquare \\ -\K\baueclipse & \K\baupunct & \K[\BAYERbautriangle]\bautriangle \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[IGO]{\IGO\ Go Stones} -\index{symbols>Go stones} -\index{Go stones} -\index{circles} -\index{squares} -\index{triangles} -\index{crosses} -\index{geometric shapes} -\index{circled numbers} -\index{numbers>circled} -\label{go-stones} -\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 Go\index{Go boards} boards - (goban\index{goban}). \seedocs{\IGO}. -\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}[SKULL]{\SKULL\ Symbols} -\label{skull} -\begin{tabular}{ll} -\K\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}[MARV]{\MARV\ Information Symbols} -\idxboth{information}{symbols} -\index{check marks} -\index{Xs} -\label{marv-info} -\begin{tabular}{*3{ll}ll} -\K\Bicycle & \K\Football & \K\Pointinghand \\ -\K\Checkedbox & \K\Gentsroom & \K\Wheelchair \\ -\K\Clocklogo & \K\Industry & \K\Writinghand \\ -\K\Coffeecup & \K\Info \\ -\K\Crossedbox & \K\Ladiesroom \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[ARK]{Miscellaneous \ARK\ Dingbats} -\idxboth{miscellaneous}{symbols} -\index{check marks} -\index{carriage return} -\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} -\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{diamonds (suit)} -\index{hearts (suit)} -\index{clubs (suit)} -\index{spades (suit)} -\label{pi-misc} -\begin{tabular}{*5{ll}} -\Tp{37} & \Tp{40} & \Tp{164} & \Tp{167} & \Tp{171} \\ -\Tp{38} & \Tp{41} & \Tp{165} & \Tp{168} & \Tp{169} \\ -\Tp{39} & \Tp{118} & \Tp{166} & \Tp{170} \\ -\end{tabular} -\end{symtable} - -\idxbothend{dingbat}{symbols} - - -\section{Other symbols} -\idxbothbegin{miscellaneous}{symbols} - -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., musical notes), 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{faces} -\label{wasy-general} -\begin{tabular}{*4{ll}} -\K\ataribox & \K\clock & \K\LEFTarrow & \K\smiley \\ -\K\bell & \K\diameter & \K\lightning & \K\sun \\ -\K\blacksmiley & \K\DOWNarrow & \K\phone & \K\UParrow \\ -\K\Bowtie & \K\frownie & \K\pointer & \K\wasylozenge \\ -\K\brokenvert & \K\invdiameter & \K\recorder \\ -\K\checked & \K\kreuz & \K\RIGHTarrow \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[WASY]{\WASY\ Circles} -\index{circles} -\label{wasy-circles} -\begin{tabular}{*8l} -\K\CIRCLE & \K\LEFTcircle & \K\RIGHTcircle & \K\rightturn \\ -\K\Circle & \K\Leftcircle & \K\Rightcircle \\ -\K\LEFTCIRCLE & \K\RIGHTCIRCLE & \K\leftturn \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[WASY]{\WASY\ Musical Symbols} -\idxboth{musical}{symbols} -\label{wasy-music} -\begin{tabular}{*{10}l} -\K\eighthnote & \K\halfnote & \K\twonotes & -\K\fullnote & \K\quarternote \\ -\end{tabular} - -\bigskip -\begin{tablenote} - See also \cmdX{\flat}, \cmdX{\sharp}, and \cmdX{\natural} - (Table~\vref{ord}). -\end{tablenote} -\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} - -\bigskip -\begin{tablenote} - See also \cmdX{\flat}, \cmdX{\sharp}, and \cmdX{\natural} - (Table~\vref{ord}). -\end{tablenote} -\end{symtable} - - -\begin{symtable}[HARM]{\HARM\ Musical Symbols} -\idxboth{musical}{symbols} -\label{harmony-music} -\begin{tabular}{*4{ll@{\hspace{3em}}}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 \pkgname{musixtex} package must be installed to use \HARM. -\end{tablenote} -\end{symtable} - - -\begin{symtable}[HARM]{\HARM\ Musical Accents} -\idxboth{musical}{symbols} -\index{accents} -\label{harmony-accents} -\begin{tabular}{ll@{\hspace{3em}}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 which 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 \pkgname{musixtex} package must be installed to use \HARM. -\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\ Navigation Symbols} -\idxboth{navigation}{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]{Other \MARV\ Symbols} -\idxboth{miscellaneous}{symbols} -\index{crosses} -\index{crucifixes} -\index{smiley faces} -\index{faces} -\label{marv-other} -\begin{tabular}{*4{ll}} -\K\Ankh & \K\Cross & \K\Heart & \K\Smiley \\ -\K\Bat & \K\FHBOlogo & \K\MartinVogel & \K\Womanface \\ -\K\Bouquet & \K\FHBOLOGO & \K\Mundus & \K\Yinyang \\ -\K\Celtcross & \K\Frowny & \K\MVAt \\ -\K\CircledA & \K\FullFHBO & \K\MVRightarrow \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[UNI]{Miscellaneous \UNI\ Symbols} -\index{faces} -\label{uni-misc} -\begin{tabular}{*2{ll}} -\K\bauforms & \K\bauhead \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[BAYER]{Miscellaneous \BAYER\ Symbols} -\index{window} -\index{faces} -\label{bayer-misc} -\begin{tabular}{*4{ll}} -\K\baudash & \K[\BAYERbauforms]\bauforms & \K\bauquarter & \K\varQ \\ -\K\bauequal & \K[\BAYERbauhead]\bauhead & \K\bauquestion & \\ -\K\bauface & \K\bauplus & \K\bauwindow & \\ -\end{tabular} -\end{symtable} - - -\begin{symtable}[IFS]{\IFS\ Weather Symbols} -\idxboth{weather}{symbols} -\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} -\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} -\label{clocks} -\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{dice} -\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] - -\K\StrokeOne & \K\StrokeThree & \K\StrokeFive \\ -\K\StrokeTwo & \K\StrokeFour \\ -\end{tabular} - -\bigskip -\begin{tablenote} - \begin{morespacing}{\jot} - In addition, - \verb|\Cube{1}|$\ldots$\verb|\Cube{6}|\indexcommand{\Cube} produce - dice with the corresponding number of spots:\quad - \mbox{\Cube{1}~~\Cube{2}~~\Cube{3}~~\Cube{4}~~\Cube{5}~~\Cube{6}} - \end{morespacing} -\end{tablenote} -\end{symtable} - - -\begin{symtable}[EDICE]{\EDICE\ Dice} -\idxboth{miscellaneous}{symbols} -\index{dice} -\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} - -\bigskip - -\begin{tablenote} - The \EDICE\ package does not provide a font but rather an interface - to a set of graphics drawn in Encapsulated \postscript. - Consequently, \EDICE\ does not work with pdf\LaTeX. -\end{tablenote} -\end{symtable} - - -\begin{symtable}[SKAK]{\SKAK\ Chess Informator Symbols} -\idxboth{chess}{symbols} -\idxboth{informator}{symbols} -\begin{tabular}{*4{ll}} -\K\bbetter & \K\doublepawns & \K\novelty & \K\various \\ -\K\bdecisive & \K\ending & \K\onlymove & \K\wbetter \\ -\K\betteris & \K\equal & \K\opposbishops & \K\wdecisive \\ -\K\bishoppair & \K[\SKAKetc]\etc & \K\passedpawn & \K\weakpt \\ -\K\bupperhand & \K\file & \K\qside & \K\with \\ -\K\centre & \K\kside & \K\samebishops & \K\withattack \\ -\K\comment & \K\markera & \K[\SKAKsee]\see & \K\withidea \\ -\K\compensation & \K\markerb & \K\seppawns & \K\withinit \\ -\K\counterplay & \K\mate & \K\timelimit & \K\without \\ -\K\devadvantage & \K\morepawns & \K\unclear & \K\wupperhand \\ -\K\diagonal & \K\moreroom & \K\unitedpawns & \K\zugzwang \\ -\end{tabular} - -\bigskip -\begin{tablenote} - \font\chessfont=skak10 - \def\chs#1{{\chessfont#1}} - - The preceding symbols are merely the named informator symbol. - \SKAK\ can typeset many more chess-related symbols, including those - for all of the pieces (\chs{KQRBNP}\slash\chs{kqrbnp}), but only in - the context of moves and boards, not as individual, named \latex - symbols. -\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@{\hspace*{3em}}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}[PHAI]{\PHAI\ Symbols from the Phaistos Disk} -\index{Phaistos disk} -\index{symbols>Phaistos disk} -\label{phaistos} -\begin{tabular}{*2{ll@{\hspace*{3em}}}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} -\label{protosem} -\begin{tabular}{*4{ll@{\hspace*{3em}}}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} -\label{hieroglf} -\begin{tabular}{*3{ll@{\hspace*{3em}}}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\HF]\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{symtable}[DICT]{\DICT\ Dictionary Symbols} -\idxboth{dictionary}{symbols} -\label{dictionary} -\begin{tabular}{*2{ll@{\hspace*{3em}}}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@{\hspace*{3em}}}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{Chen1997} 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{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@{\hspace*{3em}}}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} - - -\idxbothend{miscellaneous}{symbols} - - -\section{Additional Information} -\label{addl-info} - -Unlike the previous sections of this document, Section~\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. -Table~\ref{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} -\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} \\ - \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 Table~\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\idxCTAN. - -\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 Table~\ref{name-clashes} because they are designed -to be compatible with the symbols they replace. -Table~\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. Table~\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 -\texttt{.tfm} file) in terms of up to five segments, as illustrated by -Figure~\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, the - \IFS\ command to draw dice\index{dice} is ``\cmd{\Cube}''; 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.\footnote{\pkgname{pifont} - defines a convenient \cmd{\Pisymbol} command for accessing symbols - in \postscript\index{PostScript fonts} fonts by number. For example, - ``\cmd{\Pisymbol}\texttt{\string{psy\string}\string{191\string}}'' - produces ``\Pisymbol{psy}{191}''.} -\ifOTII % Not covered by \ifcomplete - In fact, \cmd{\char} is not strictly necesssary; 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\char88}|'' - 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})|)} -\fi % OTII test - - - \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{?}}} - 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 - irony\index{irony mark=irony mark (\irony)} mark~(``\,\irony\,''; - cf.~\url{http://en.wikipedia.org/wiki/Irony_mark}), and - \verb|\rotatebox[origin=c]{180}{$\iota$}| produces the - definite-description\index{definite-description operator - (\definitedescription)} - operator~(``\rotatebox[origin=c]{180}{$\iota$}''). 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 Table~\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 Table~\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 - (Table~\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 - Section~\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 -\filename{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% -\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/faq}.) -\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|), ``$\Xint\infty$'' - (\verb|\Xint\infty|), and so forth. -\else - \verb|\Xint\circlearrowright|, \verb|\Xint\circlearrowleft|, - \verb|\Xint\subset|, \verb|\Xint\infty|, 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\hksqrt{\mathpalette\DHLhksqrt} -\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}} - -\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: -\end{morespacing} - -\index{hksqrt=\verb+\hksqrt+ ($\blackacc{\hksqrt}$)}% -\begin{verbatim} - \def\hksqrt{\mathpalette\DHLhksqrt} - \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|\DHLhksqrt| uses \cmd{\mathpalette} to recover the -outer math style (argument~\verb|#1|) from 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 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}. - -\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 -Table~\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{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>life insurance|(} -\index{life-insurance 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}) for typesetting -annuities\index{annuity}: - - \DeclareRobustCommand{\annu}[1]{_{% - \def\arraystretch{0}% - \setlength\arraycolsep{1pt}% adjust these - \setlength\arrayrulewidth{.2pt}% two settings - \begin{array}[b]{@{}c|}\hline - \\[\arraycolsep]% - \scriptstyle #1% - \end{array}% - }} - -\begin{verbatim} - \DeclareRobustCommand{\annu}[1]{_{% - \def\arraystretch{0}% - \setlength\arraycolsep{1pt}% adjust these - \setlength\arrayrulewidth{.2pt}% two settings - \begin{array}[b]{@{}c|}\hline - \\[\arraycolsep]% - \scriptstyle #1% - \end{array}% - }} -\end{verbatim} - -\noindent -One can then use, e.g.,~``\verb|$A\annu{x:n}$|'' to produce -``$A\annu{x:n}$''.\indexaccent[$\string\blackacc\string\annu$]{\annu} - -\index{symbols>actuarial|)} -\index{actuarial symbols|)} -\index{symbols>life insurance|)} -\index{life-insurance 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 -Table~\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. Nevertheless, 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. Figure~\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}\texttt{.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}\texttt{.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 Figure~\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 Figure~\ref{lightbulb10-proof}. -Observe how the grid defined with \textit{makegrid} at the bottom of -Figure~\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 -\filename{testfont.tex} which 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 Figure~\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 \filename{testfont.tex}} -\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-italicized. The -filename for a font-description file important; it must be of the form -``\meta{encoding}\meta{family}\texttt{.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''. Figure~\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} (Figure~\ref{bulb-sty-file}), is -rather trivial. Note that instead of typesetting ``\texttt{A}'' we -could have had \cmdI{\lightbulb} typeset ``\verb+\char65+'', -``\verb+\char"41+'', or ``\verb+\char'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 -\url{http://www.tex.ac.uk/cgi-bin/texfaq2html?label=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 Section~\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 - Tables~\ref{log} and~\ref{ams-log} -\else - Table~\ref{log} -\fi -is to provide the correct amount of spacing around and within -multiletter function names. Table~\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}). -Table~\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 Table~\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 -\url{http://www.tex.ac.uk/cgi-bin/texfaq2html?label=boldgreek} can be -used to produce bold mathematical symbols. Table~\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} letters (bold vs.\ normal), formatting of -operators and relations (bold vs.\ normal), and spacing. - -% 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$\alpha + b = \GammaIt \div D$ \\ - \bottomrule - \end{tabular} -\end{nonsymtable} - -\idxbothend{bold}{symbols} - - -\subsection{ASCII and Latin~1 quick reference} -\label{ascii-quickref} - -\index{ASCII|(} - -Table~\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} - \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 -Table~\ref{ascii-table}: - -\begin{itemize} - \item - ``\indexcommand[\string\encone{\string\textquotedbl}]{\textquotedbl}{\encone{\textquotedbl}}'' - is not available in the OT1 \fntenc[OT1]. - - \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 - Table~\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{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 Table~\vref{rel}), which produces a - somewhat wide ``$\sim$'', or the \TC\ package's \cmdI{\texttildelow} - (shown in Table~\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 \verb|\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\index{ASCII} characters~1 to~31 can be typeset - using the \pkgname{ascii} package. -\ifASCII - See Table~\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 \verb|\char18| and \verb|\char13| to get the modified quote - characters. (The former is actually a grave accent.) -\end{itemize} - -\index{Latin 1|(} - -Similar to Table~\ref{ascii-table}, Table~\vref{latin1-table} is an -amalgamation of data from other tables in this document. While -Table~\ref{ascii-table} shows how to typeset the 7-bit ASCII character -set, Table~\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>table} - \index{copyright} - \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{\guillemotleft} & \string\guillemotleft & (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{\guillemotright} & \string\guillemotright & (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 & \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 & \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 -Table~\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 Table~\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). Table~\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} - \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 -Table~\ref{cp1252-table}: - -\begin{itemize} - \item As in Table~\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|(} -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\idxCTAN{} 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{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 (Tables~\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 -(Tables~\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 (Table~\ref{alphabets}) were added thereafter. -Later, \person{Alexander}{Holt} provided the \ST\ tables -(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, and other symbols, to provide a more user-friendly - document structure - - \item an index, table of contents, 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 to provide additional information relevant to using - symbols in \latex{} - - \item tables showing how to typeset all of the characters in the - ASCII\index{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 David's original version. Most of the changes -are geared towards making the document easier to extend, modify, and -reformat. - - -\paragraph{Build characteristics} -Table~\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\idxCTAN{} (\url{http://www.ctan.org/} or one of -its many mirror sites) in the directory -\texttt{tex-archive/info/symbols/comprehensive}. -Table~\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 -Table~\ref{doc-characteristics} or~\ref{package-dates}. - -\begin{nonsymtable}{Document Characteristics} -\label{doc-characteristics} -\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} -\end{nonsymtable} - - -% Automatically generate a table of package version numbers. -\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]{% - \edef\package@date@string{\csname ver@#1.sty\endcsname}% - \expandafter\show@package@date\package@date@string!!! - } - - % Format a metavariable. - \def\meta#1{\textlangle{\textit{#1}}\textrangle} - - % 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} \\ - \fi - \fi - } - \expandafter\pkg@date@toks\expandafter=\expandafter{\foundpkgs} - - % Output a formatted table which contains the previously defined token list. - \begin{nonsymtable}{Package versions used in the preparation of this document} - \label{package-dates} - \begin{tabular}{@{}ll@{}} - \toprule - Name & Date \\ - \midrule - \the\pkg@date@toks - \bottomrule - \end{tabular} - \end{nonsymtable} -\endgroup -\makeatother - - -\subsection{Copyright and license} - -\mbox{} - -\begin{tabular}{@{}l@{}} - The \doctitle \\ - Copyright~\copyright\ \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. - -This work has the LPPL maintenance status ``maintained''. - -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 - -\addcontentsline{toc}{section}{References} -\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{http://www.ctan.org/tex-archive/info/fontname}. - -\bibitem[Che97]{Chen1997} - Raymond Chen.\index{Chen, Raymond} - A \MF\ of `Simpsons' characters. - \emph{Baskerville}, 4(4):19, September 1997. - ISSN~\mbox{1354-5930}. - Available from - \url{http://tug.ctan.org/usergrps/uktug/baskervi/4_4/bask4_4.ps}. - -\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[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{http://www.ctan.org/tex-archive/macros/latex/doc/ltnews09.pdf} - (also included in many \tex{} distributions). - -\bibitem[\LaT{}00]{fntguide} - \latex{}3~Project Team. - \latexE font selection, - January~30, 2000. - Available from - \url{http://www.ctan.org/tex-archive/macros/latex/doc/fntguide.ps} - (also included in many \tex{} distributions). -\end{thebibliography} -\endgroup - -\clearpage -\addcontentsline{toc}{section}{Index} -{\small\printindex} - -\end{document} |