\NeedsTeXFormat{LaTeX2e}[1997/06/01] % % Based on Young Ryu's pxfonts.sty, v.3.2.1 % Text and math are now loaded in separate sty files---the text % font family need not be px---any other Palatino clone should work. % The text font loaded when this package % is processed is used for operator names, mathrm, mathit, % and likewise for mathsf and mathtt. % The original pxfonts math fonts have been replaced by virtual fonts which % render less tightly so that there are many fewer instances % of glyph collisions. % These modifications are by Michael Sharpe, msharpe at ucsd dot edu \def\fileversion{1.232} \def\filedate{2015/04/07} \ProvidesPackage{newpxmath} [\filedate\space v\fileversion] \@ifundefined{newpxmathLoaded}{}{\endinput} \message{`newpxmath' v\fileversion, \filedate\space Math macros based on pxfonts (msharpe)} \csname newpxmathLoaded\endcsname \let\newpxmathLoaded\endinput \RequirePackage{amsmath} % for better \left \def\ly@one{LY1} \def\t@one{T1} \input{binhex} \RequirePackage{xkeyval} \let\npxmath@scaled\@empty \define@key{npxmath}{scaled}[1.0]{\def\npxmath@scaled{#1}} \DeclareOption*{% \begingroup \edef\x{\endgroup \noexpand\setkeys{npxmath}{\CurrentOption}}% \x} \DeclareOption{varg}{\def\X@s@v@rg{}} \newcount\px@Isdigit \newif\ifpx@ams \newif\ifpx@slantedG \newif\ifpx@cmint \newif\ifpx@braces \newif\ifpx@varbb \newif\ifpx@vvarbb \newif\ifpx@symbolsC \newif\ifpx@bigdelims \newif\ifpx@frenchm % french math \px@symbolsCtrue \DeclareOption{bigdelims}{\px@bigdelimstrue} \DeclareOption{varbb}{\px@varbbtrue} \DeclareOption{vvarbb}{\px@vvarbbtrue} \DeclareOption{nosymbolsc}{\px@symbolsCfalse} \DeclareOption{cmintegrals}{\px@cminttrue} \DeclareOption{cmbraces}{\px@bracestrue} \DeclareOption{noamssymbols}{\px@amsfalse} \DeclareOption{amssymbols}{\px@amstrue} \DeclareOption{uprightGreek}{\px@slantedGfalse} \DeclareOption{slantedGreek}{\px@slantedGtrue} \DeclareOption{frenchmath}{\px@frenchmtrue} \ExecuteOptions{% amssymbols,uprightGreek} \ProcessOptions* % frenchmath implies uprightGreek \ifpx@frenchm\px@slantedGfalse\fi %bigdelims cancels cmbraces \ifpx@bigdelims\px@bracesfalse\fi % Use existing text fonts for operators, mathrm, etc \DeclareSymbolFont{operators}{\encodingdefault}{\rmdefault}{m}{n} \SetSymbolFont{operators}{bold}{\encodingdefault}{\rmdefault}{b}{n} \def\operator@font{\mathgroup\symoperators} \DeclareMathAlphabet{\mathsf}{\encodingdefault}{\sfdefault}{m}{n} \DeclareMathAlphabet{\mathit}{\encodingdefault}{\rmdefault}{m}{it} \DeclareMathAlphabet{\mathtt}{\encodingdefault}{\ttdefault}{m}{n} \DeclareSymbolFontAlphabet{\mathrm}{operators} \DeclareMathAlphabet{\mathbf}{\encodingdefault}{\rmdefault}{b}{n} \SetMathAlphabet{\mathit}{bold}{\encodingdefault}{\rmdefault}{b}{it} \SetMathAlphabet{\mathsf}{bold}{\encodingdefault}{\sfdefault}{b}{n} \SetMathAlphabet{\mathtt}{bold}{\encodingdefault}{\ttdefault}{b}{n} % change default def of \hbar in case noamssymbols \ifx\encodingdefault\t@one \renewcommand{\hbar}{\raisebox{-.04ex}{\mbox{$\mathchar'11$}}\mkern-7.3mu h}% \else \renewcommand{\hbar}{\raisebox{-.04ex}{\mbox{$\mathchar'26$}}\mkern-7.3mu h}% \fi %%%%%%%%%%%%%%% % Math Italic % %%%%%%%%%%%%%%% \DeclareSymbolFont{letters}{OML}{npxmi}{m}{it} \SetSymbolFont{letters}{bold}{OML}{npxmi}{b}{it} \DeclareFontSubstitution{OML}{npxmi}{m}{it} %%%%%%%%%%%%%%%%% % Math Italic A % %%%%%%%%%%%%%%%%% \DeclareSymbolFont{lettersA}{U}{npxmia}{m}{it} \SetSymbolFont{lettersA}{bold}{U}{npxmia}{b}{it} \DeclareFontSubstitution{U}{npxmia}{m}{it} \DeclareSymbolFontAlphabet{\mathfrak}{lettersA} %%%%%%%%%%%%%%% % Math Symbol % %%%%%%%%%%%%%%% \DeclareSymbolFont{symbols}{OMS}{npxsy}{m}{n} \SetSymbolFont{symbols}{bold}{OMS}{npxsy}{b}{n} \DeclareFontSubstitution{OMS}{npxsy}{m}{n} \DeclareSymbolFontAlphabet{\symb@ls@lph@}{symbols} \ifx\AmSfont\@undefined\else \renewcommand{\AmSfont}{{% \usefont{OMS}{npxsy}{\if\@xp\@car\f@series\@nil bb\else m\fi}{n}}} \fi %%%%%%%%%%%%%%%%%%%%%%%%% % AMS math symbols are now combined into a single font, AMSm %%%%%%%%%%%%%%%%%%%%%%%%% \ifpx@ams% % \DeclareSymbolFont{AMSa}{U}{npxsya}{m}{n} % \SetSymbolFont{AMSa}{bold}{U}{npxsya}{b}{n} % \DeclareFontSubstitution{U}{npxsya}{m}{n} \DeclareSymbolFont{AMSm}{U}{npxsym}{m}{n} \SetSymbolFont{AMSm}{bold}{U}{npxsym}{b}{n} \DeclareFontSubstitution{U}{npxsym}{m}{n} \DeclareSymbolFontAlphabet{\mathbb}{AMSm} \fi %%%%%%%%%%%%%%%%%%%%%%%%% % Math Symbols B (MSBM) % %%%%%%%%%%%%%%%%%%%%%%%%% % \DeclareSymbolFont{AMSb}{U}{npxsyb}{m}{n} % \SetSymbolFont{AMSb}{bold}{U}{npxsyb}{b}{n} % \DeclareFontSubstitution{U}{npxsyb}{m}{n} % \DeclareSymbolFontAlphabet{\mathbb}{AMSb} %\fi %%%%%%%%%%%%%%%%%% % Math Symbols C % %%%%%%%%%%%%%%%%%% \ifpx@symbolsC \DeclareSymbolFont{symbolsC}{U}{npxsyc}{m}{n} \SetSymbolFont{symbolsC}{bold}{U}{npxsyc}{b}{n} \DeclareFontSubstitution{U}{npxsyc}{m}{n} \fi %%%%%%%%%%%%%%%%%% % Math Extension % %%%%%%%%%%%%%%%%%% % no OMX used \expandafter\ifx\csname npxmath@scaled\endcsname\relax \let\npxmath@@scaled\@empty% \else \edef\npxmath@@scaled{s*[\csname npxmath@scaled\endcsname]}% \fi \DeclareFontEncoding{LMX}{}{} \DeclareFontSubstitution{LMX}{npxexx}{m}{n} \DeclareFontFamily{LMX}{npxexx}{} \DeclareFontShape{LMX}{npxexx}{m}{n}{<-> \npxmath@@scaled zplexx}{} \DeclareFontShape{LMX}{npxexx}{b}{n}{<-> \npxmath@@scaled zplbexx}{} \DeclareFontShape{LMX}{npxexx}{bx}{n}{<->ssub npxexx/b/n}{} \DeclareSymbolFont{largesymbols}{LMX}{npxexx}{m}{n} \SetSymbolFont{largesymbols}{bold}{LMX}{npxexx}{b}{n} \ifpx@bigdelims %default definitions of \big etc need some changes %\renewcommand{\big}{\bBigg@\@ne} \AtBeginDocument{\renewcommand{\Big}{\bBigg@{1.3}} \renewcommand{\bigg}{\bBigg@{1.73}} \renewcommand{\Bigg}{\bBigg@{2.16}} } \fi% %%%%%%%%%%%%%%%%%%%% % Math Extension A % %%%%%%%%%%%%%%%%%%%% \DeclareSymbolFont{largesymbolsPXA}{U}{npxexa}{m}{n} \SetSymbolFont{largesymbolsPXA}{bold}{U}{npxexa}{b}{n} \DeclareFontSubstitution{U}{npxexa}{m}{n} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Common Macros %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \def\re@DeclareMathSymbol#1#2#3#4{% \let#1=\undefined \DeclareMathSymbol{#1}{#2}{#3}{#4}} \def\re@DeclareMathDelimiter#1#2#3#4#5#6{% \let#1=\undefined \DeclareMathDelimiter{#1}{#2}{#3}{#4}{#5}{#6}} \def\re@DeclareMathAccent#1#2#3#4{% \let#1=\undefined \DeclareMathAccent{#1}{#2}{#3}{#4}} \def\DeclareMathSymbolCtr#1#2#3#4{% \DeclareMathSymbol{#1}{#2}{#3}{#4} \advance #4 by1} \def\px@isdigit#1{% #1 should be a single character \px@Isdigit=\z@ % \count0=\number`#1\relax% \ifnum\count0>47\relax% \ifnum\count0<58\relax% \px@Isdigit=\@ne % \fi% \fi% } \def\px@XXX#1#2\@nil{% #1=first character, #2=rest of string \px@isdigit{#1}% \ifnum\px@Isdigit>\z@ $#1$\else#1\fi% \if\relax\detokenize{#2}\relax \else \edef\px@XXXcmd{\noexpand\px@XXX #2\noexpand\@nil}\px@XXXcmd \fi} \def\equalht#1{\px@XXX #1\@nil} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Symols & Notations Definitions %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \def\joinrel{\mathrel{\mkern-2.65mu}} %-3mu in plain TeX %%%%%%%%%%%%%%%%%%%%%% % Text Roman in Math % operators %%%%%%%%%%%%%%%%%%%%%% % LaTeX defaults are set to the following in the roman text font. % Not all text fonts have these available, or not in the same slots. %\DeclareMathSymbol{\Gamma}{\mathalpha}{operators}{0} %\DeclareMathSymbol{\Delta}{\mathalpha}{operators}{1} %\DeclareMathSymbol{\Theta}{\mathalpha}{operators}{2} %\DeclareMathSymbol{\Lambda}{\mathalpha}{operators}{3} %\DeclareMathSymbol{\Xi}{\mathalpha}{operators}{4} %\DeclareMathSymbol{\Pi}{\mathalpha}{operators}{5} %\DeclareMathSymbol{\Sigma}{\mathalpha}{operators}{6} %\DeclareMathSymbol{\Upsilon}{\mathalpha}{operators}{7} %\DeclareMathSymbol{\Phi}{\mathalpha}{operators}{8} %\DeclareMathSymbol{\Psi}{\mathalpha}{operators}{9} %\DeclareMathSymbol{\Omega}{\mathalpha}{operators}{10} %"30-"39: 0-9 %\DeclareMathAccent{\grave}{\mathalpha}{operators}{18} %\DeclareMathAccent{\acute}{\mathalpha}{operators}{19} %\DeclareMathAccent{\check}{\mathalpha}{operators}{20} %\DeclareMathAccent{\breve}{\mathalpha}{operators}{21} %\DeclareMathAccent{\bar}{\mathalpha}{operators}{22} %\DeclareMathAccent{\mathring}{\mathalpha}{operators}{23} %\DeclareMathSymbol{\mathdollar}{\mathord}{operators}{36} %\def\mathsterling{\mathit{\mathchar"7024}} %Change the following two so we can adjust metrics in math mode %\DeclareMathDelimiter{(}{\mathopen}{operators}{40}{largesymbols}{0} %\DeclareMathDelimiter{)}{\mathclose}{operators}{41}{largesymbols}{1} %\DeclareMathDelimiter{(}{\mathopen}{lettersA}{125}{largesymbols}{0} %\DeclareMathDelimiter{)}{\mathclose}{lettersA}{126}{largesymbols}{1} \ifpx@bigdelims \DeclareMathDelimiter{(}{\mathopen}{lettersA}{155}{largesymbols}{130} \DeclareMathDelimiter{)}{\mathclose}{lettersA}{156}{largesymbols}{131} \DeclareMathDelimiter{[}{\mathopen}{lettersA}{157}{largesymbols}{132} \DeclareMathDelimiter{]}{\mathclose}{lettersA}{158}{largesymbols}{133} \DeclareMathDelimiter{\lfloor}{\mathopen}{lettersA}{159}{largesymbols}{134} \DeclareMathDelimiter{\rfloor}{\mathclose}{lettersA}{160}{largesymbols}{135} \DeclareMathDelimiter{\lceil}{\mathopen}{lettersA}{161}{largesymbols}{136} \DeclareMathDelimiter{\rceil}{\mathclose}{lettersA}{162}{largesymbols}{137} \DeclareMathDelimiter{\lbrace}{\mathopen}{lettersA}{163}{largesymbols}{138} \DeclareMathDelimiter{\rbrace}{\mathclose}{lettersA}{164}{largesymbols}{139} \DeclareMathDelimiter{\langle}{\mathopen}{lettersA}{165}{largesymbols}{140} %\DeclareMathDelimiter{<}{\mathopen}{lettersA}{165}{largesymbols}{140} \DeclareMathDelimiter{\rangle}{\mathclose}{lettersA}{166}{largesymbols}{141} %\DeclareMathDelimiter{>}{\mathclose}{lettersA}{166}{largesymbols}{141} \DeclareMathSymbol{\mid}{\mathrel}{lettersA}{96} \DeclareMathDelimiter{|}{\mathord}{lettersA}{96}{largesymbols}{128} \DeclareMathDelimiter{\arrowvert}{\mathord}{lettersA}{167}{largesymbols}{60} \DeclareMathDelimiter{\vert}{\mathord}{lettersA}{96}{largesymbols}{128} %\DeclareMathSymbol{\parallel}{\mathrel}{lettersA}{129} \DeclareMathDelimiter{\Arrowvert}{\mathord}{lettersA}{168}{largesymbols}{61} \DeclareMathDelimiter{\Vert}{\mathord}{lettersA}{128}{largesymbols}{129} \let\|=\Vert \DeclareMathDelimiter{\updownarrow}{\mathrel}{lettersA}{167}{largesymbols}{63} \DeclareMathDelimiter{\Updownarrow}{\mathrel}{lettersA}{167}{largesymbols}{119} \else \ifpx@braces \DeclareMathDelimiter{\lbrace}{\mathopen}{lettersA}{62}{largesymbols}{142} \DeclareMathDelimiter{\rbrace}{\mathclose}{lettersA}{63}{largesymbols}{143} \fi \DeclareMathDelimiter{(}{\mathopen}{lettersA}{125}{largesymbols}{0} \DeclareMathDelimiter{)}{\mathclose}{lettersA}{126}{largesymbols}{1} \fi %\DeclareMathSymbol{+}{\mathbin}{operators}{43} %\DeclareMathDelimiter{/}{\mathord}{operators}{47}{largesymbols}{14} %\DeclareMathSymbol{:}{\mathrel}{operators}{58} %\DeclareMathSymbol{\colon}{\mathpunct}{operators}{58} %\DeclareMathSymbol{;}{\mathpunct}{operators}{59} \DeclareMathSymbol{=}{\mathrel}{lettersA}{53} %\DeclareMathSymbol{?}{\mathclose}{operators}{63} %\DeclareMathDelimiter{[}{\mathopen}{operators}{91}{largesymbols}{2} %\DeclareMathDelimiter{]}{\mathclose}{operators}{93}{largesymbols}{3} %\DeclareMathAccent{\hat}{\mathalpha}{operators}{94} %\DeclareMathAccent{\dot}{\mathalpha}{operators}{95} %\DeclareMathAccent{\tilde}{\mathalpha}{operators}{126} %\DeclareMathAccent{\ddot}{\mathalpha}{operators}{127} \ifx\encodingdefault\t@one% \re@DeclareMathAccent{\grave}{\mathalpha}{operators}{0} \re@DeclareMathAccent{\acute}{\mathalpha}{operators}{1} \re@DeclareMathAccent{\check}{\mathalpha}{operators}{7} \re@DeclareMathAccent{\breve}{\mathalpha}{operators}{8} \re@DeclareMathAccent{\bar}{\mathalpha}{operators}{9} \re@DeclareMathAccent{\mathring}{\mathalpha}{operators}{6} \re@DeclareMathAccent{\hat}{\mathalpha}{operators}{2} \re@DeclareMathAccent{\dot}{\mathalpha}{operators}{10} \re@DeclareMathAccent{\tilde}{\mathalpha}{operators}{3} \re@DeclareMathAccent{\ddot}{\mathalpha}{operators}{4} \else\ifx\encodingdefault\ly@one \re@DeclareMathAccent{\bar}{\mathalpha}{operators}{175} \re@DeclareMathAccent{\hat}{\mathalpha}{operators}{94} \re@DeclareMathAccent{\dot}{\mathalpha}{operators}{5} % \DeclareMathAccent{\tilde}{\mathalpha}{operators}{152} \fi\fi % \ifpx@slantedG \re@DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{0} \re@DeclareMathSymbol{\Delta}{\mathalpha}{letters}{1} \re@DeclareMathSymbol{\Theta}{\mathalpha}{letters}{2} \re@DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{3} \re@DeclareMathSymbol{\Xi}{\mathalpha}{letters}{4} \re@DeclareMathSymbol{\Pi}{\mathalpha}{letters}{5} \re@DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{6} \re@DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{7} \re@DeclareMathSymbol{\Phi}{\mathalpha}{letters}{8} \re@DeclareMathSymbol{\Psi}{\mathalpha}{letters}{9} \re@DeclareMathSymbol{\Omega}{\mathalpha}{letters}{10} \else \re@DeclareMathSymbol{\Gamma}{\mathalpha}{lettersA}{0} \re@DeclareMathSymbol{\Delta}{\mathalpha}{lettersA}{1} \re@DeclareMathSymbol{\Theta}{\mathalpha}{lettersA}{2} \re@DeclareMathSymbol{\Lambda}{\mathalpha}{lettersA}{3} \re@DeclareMathSymbol{\Xi}{\mathalpha}{lettersA}{4} \re@DeclareMathSymbol{\Pi}{\mathalpha}{lettersA}{5} \re@DeclareMathSymbol{\Sigma}{\mathalpha}{lettersA}{6} \re@DeclareMathSymbol{\Upsilon}{\mathalpha}{lettersA}{7} \re@DeclareMathSymbol{\Phi}{\mathalpha}{lettersA}{8} \re@DeclareMathSymbol{\Psi}{\mathalpha}{lettersA}{9} \re@DeclareMathSymbol{\Omega}{\mathalpha}{lettersA}{10} \fi %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Symbol (pxsy) Definition % symbols %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\DeclareMathSymbol{-}{\mathbin}{symbols}{0} %\DeclareMathSymbol{\cdotp}{\mathpunct}{symbols}{1} %\DeclareMathSymbol{\cdot}{\mathbin}{symbols}{1} %\DeclareMathSymbol{\times}{\mathbin}{symbols}{2} %\DeclareMathSymbol{\ast}{\mathbin}{symbols}{3} %\DeclareMathSymbol{*}{\mathbin}{symbols}{3} % %\DeclareMathSymbol{\div}{\mathbin}{symbols}{4} %\DeclareMathSymbol{\diamond}{\mathbin}{symbols}{5} %\DeclareMathSymbol{\pm}{\mathbin}{symbols}{6} %\DeclareMathSymbol{\mp}{\mathbin}{symbols}{7} %\DeclareMathSymbol{\oplus}{\mathbin}{symbols}{8} \let\circledplus\oplus %\DeclareMathSymbol{\ominus}{\mathbin}{symbols}{9} \let\circledminus\ominus %\DeclareMathSymbol{\otimes}{\mathbin}{symbols}{10} \let\circledtimes\otimes %\DeclareMathSymbol{\oslash}{\mathbin}{symbols}{11} \let\circledslash\oslash %\DeclareMathSymbol{\odot}{\mathbin}{symbols}{12} \let\circleddot\odot %\DeclareMathSymbol{\bigcirc}{\mathbin}{symbols}{13} %\DeclareMathSymbol{\circ}{\mathbin}{symbols}{14} %\DeclareMathSymbol{\bullet}{\mathbin}{symbols}{15} %\DeclareMathSymbol{\asymp}{\mathrel}{symbols}{16} %\DeclareMathSymbol{\equiv}{\mathrel}{symbols}{17} %\DeclareMathSymbol{\subseteq}{\mathrel}{symbols}{18} %\DeclareMathSymbol{\supseteq}{\mathrel}{symbols}{19} %\DeclareMathSymbol{\leq}{\mathrel}{symbols}{20} % \let\le=\leq %\DeclareMathSymbol{\geq}{\mathrel}{symbols}{21} % \let\ge=\geq %\DeclareMathSymbol{\preceq}{\mathrel}{symbols}{22} %\DeclareMathSymbol{\succeq}{\mathrel}{symbols}{23} %\DeclareMathSymbol{\sim}{\mathrel}{symbols}{24} %\DeclareMathSymbol{\approx}{\mathrel}{symbols}{25} %\DeclareMathSymbol{\subset}{\mathrel}{symbols}{26} %\DeclareMathSymbol{\supset}{\mathrel}{symbols}{27} %\DeclareMathSymbol{\ll}{\mathrel}{symbols}{28} %\DeclareMathSymbol{\gg}{\mathrel}{symbols}{29} %\DeclareMathSymbol{\prec}{\mathrel}{symbols}{30} %\DeclareMathSymbol{\succ}{\mathrel}{symbols}{31} %\DeclareMathSymbol{\leftarrow}{\mathrel}{symbols}{32} % \let\gets=\leftarrow %\DeclareMathSymbol{\rightarrow}{\mathrel}{symbols}{33} % \let\to=\rightarrow %\DeclareMathDelimiter{\uparrow}{\mathrel}{symbols}{34}{largesymbols}{120} %\DeclareMathDelimiter{\downarrow}{\mathrel}{symbols}{35}{largesymbols}{121} %\DeclareMathSymbol{\leftrightarrow}{\mathrel}{symbols}{36} %\DeclareMathSymbol{\nearrow}{\mathrel}{symbols}{37} %\DeclareMathSymbol{\searrow}{\mathrel}{symbols}{38} %\DeclareMathSymbol{\simeq}{\mathrel}{symbols}{39} %\DeclareMathSymbol{\Leftarrow}{\mathrel}{symbols}{40} %\DeclareMathSymbol{\Rightarrow}{\mathrel}{symbols}{41} %\DeclareMathDelimiter{\Uparrow}{\mathrel}{symbols}{42}{largesymbols}{126} %\DeclareMathDelimiter{\Downarrow}{\mathrel}{symbols}{43}{largesymbols}{127} %\DeclareMathSymbol{\Leftrightarrow}{\mathrel}{symbols}{44} %\DeclareMathSymbol{\nwarrow}{\mathrel}{symbols}{45} %\DeclareMathSymbol{\swarrow}{\mathrel}{symbols}{46} %\DeclareMathSymbol{\propto}{\mathrel}{symbols}{47} %\DeclareMathSymbol{\prime}{\mathord}{symbols}{48} %\DeclareMathSymbol{\infty}{\mathord}{symbols}{49} %\DeclareMathSymbol{\in}{\mathrel}{symbols}{50} %\DeclareMathSymbol{\ni}{\mathrel}{symbols}{51} % \let\owns=\ni %\DeclareMathSymbol{\triangle}{\mathord}{symbols}{52} %\DeclareMathSymbol{\bigtriangleup}{\mathbin}{symbols}{52} %\DeclareMathSymbol{\bigtriangledown}{\mathbin}{symbols}{53} %\DeclareMathSymbol{\not}{\mathrel}{symbols}{54} %\DeclareMathSymbol{\mapstochar}{\mathrel}{symbols}{55} % \def\mapsto{\mapstochar\rightarrow} %\DeclareMathSymbol{\forall}{\mathord}{symbols}{56} %\DeclareMathSymbol{\exists}{\mathord}{symbols}{57} %\DeclareMathSymbol{\neg}{\mathord}{symbols}{58} % \let\lnot=\neg %\DeclareMathSymbol{\emptyset}{\mathord}{symbols}{59} %\DeclareMathSymbol{\Re}{\mathord}{symbols}{60} %\DeclareMathSymbol{\Im}{\mathord}{symbols}{61} %\DeclareMathSymbol{\top}{\mathord}{symbols}{62} %\DeclareMathSymbol{\bot}{\mathord}{symbols}{63} %\DeclareMathSymbol{\perp}{\mathrel}{symbols}{63} %\DeclareMathSymbol{\aleph}{\mathord}{symbols}{64} % "41-"5A: \mathcal{A-Z} %\DeclareMathSymbol{\cup}{\mathbin}{symbols}{91} %\DeclareMathSymbol{\cap}{\mathbin}{symbols}{92} %\DeclareMathSymbol{\uplus}{\mathbin}{symbols}{93} %\DeclareMathSymbol{\wedge}{\mathbin}{symbols}{94} % \let\land=\wedge %\DeclareMathSymbol{\vee}{\mathbin}{symbols}{95} % \let\lor=\vee %\DeclareMathSymbol{\vdash}{\mathrel}{symbols}{96} %\DeclareMathSymbol{\dashv}{\mathrel}{symbols}{97} %\DeclareMathDelimiter{\lfloor}{\mathopen}{symbols}{98}{largesymbols}{4} %\DeclareMathDelimiter{\rfloor}{\mathclose}{symbols}{99}{largesymbols}{5} %\DeclareMathDelimiter{\lceil}{\mathopen}{symbols}{100}{largesymbols}{6} %\DeclareMathDelimiter{\rceil}{\mathclose}{symbols}{101}{largesymbols}{7} %\DeclareMathDelimiter{\lbrace}{\mathopen}{symbols}{102}{largesymbols}{8} %\DeclareMathDelimiter{\rbrace}{\mathclose}{symbols}{103}{largesymbols}{9} %\DeclareMathDelimiter{\langle}{\mathopen}{symbols}{104}{largesymbols}{10} %\DeclareMathDelimiter{<}{\mathopen}{symbols}{104}{largesymbols}{10} %\DeclareMathDelimiter{\rangle}{\mathclose}{symbols}{105}{largesymbols}{11} %\DeclareMathDelimiter{>}{\mathclose}{symbols}{105}{largesymbols}{11} %\DeclareMathSymbol{\mid}{\mathrel}{symbols}{106} %\DeclareMathDelimiter{|}{\mathord}{symbols}{106}{largesymbols}{12} %\DeclareMathDelimiter{\arrowvert}{\mathord}{symbols}{106}{largesymbols}{60} %\DeclareMathDelimiter{\vert}{\mathord}{symbols}{106}{largesymbols}{12} %\DeclareMathSymbol{\parallel}{\mathrel}{symbols}{107} %\DeclareMathDelimiter{\Arrowvert}{\mathord}{symbols}{107}{largesymbols}{61} %\DeclareMathDelimiter{\Vert}{\mathord}{symbols}{107}{largesymbols}{13} % \let\|=\Vert %\DeclareMathDelimiter{\updownarrow}{\mathrel}{symbols}{108}{largesymbols}{63} %\DeclareMathDelimiter{\Updownarrow}{\mathrel}{symbols}{109}{largesymbols}{119} %\DeclareMathSymbol{\setminus}{\mathbin}{symbols}{110} %\DeclareMathDelimiter{\backslash}{\mathord}{symbols}{110}{largesymbols}{15} %\expandafter\DeclareMathDelimiter\@backslashchar{\mathord}{symbols}{110}{largesymbols}{15} %\DeclareMathSymbol{\wr}{\mathbin}{symbols}{111} %\def\surd{{\mathchar"1270}} %\DeclareMathRadical{\sqrtsign}{symbols}{112}{largesymbols}{112} %\DeclareMathSymbol{\amalg}{\mathbin}{symbols}{113} %\DeclareMathSymbol{\nabla}{\mathord}{symbols}{114} %\DeclareMathSymbol{\smallint}{\mathop}{symbols}{115} %\DeclareMathSymbol{\sqcup}{\mathbin}{symbols}{116} %\DeclareMathSymbol{\sqcap}{\mathbin}{symbols}{117} %\DeclareMathSymbol{\sqsubseteq}{\mathrel}{symbols}{118} %\DeclareMathSymbol{\sqsupseteq}{\mathrel}{symbols}{119} %\DeclareMathSymbol{\mathsection}{\mathord}{symbols}{120} %\DeclareMathSymbol{\dagger}{\mathbin}{symbols}{121} %\DeclareMathSymbol{\ddagger}{\mathbin}{symbols}{122} %\DeclareMathSymbol{\mathparagraph}{\mathord}{symbols}{123} %\DeclareMathSymbol{\clubsuit}{\mathord}{symbols}{124} %\DeclareMathSymbol{\diamondsuit}{\mathord}{symbols}{125} %\DeclareMathSymbol{\heartsuit}{\mathord}{symbols}{126} %\DeclareMathSymbol{\spadesuit}{\mathord}{symbols}{127} % Define \overgroup, \undergroup, like \overbrace, \underbrace \DeclareMathSymbol{\groupld}{\mathord}{largesymbols}{160} \DeclareMathSymbol{\grouprd}{\mathord}{largesymbols}{161} \DeclareMathSymbol{\grouplu}{\mathord}{largesymbols}{162} \DeclareMathSymbol{\groupru}{\mathord}{largesymbols}{163} \DeclareMathSymbol{\grouplda}{\mathord}{largesymbols}{164} \DeclareMathSymbol{\grouprda}{\mathord}{largesymbols}{165} \DeclareMathSymbol{\grouplua}{\mathord}{largesymbols}{166} \DeclareMathSymbol{\grouprua}{\mathord}{largesymbols}{167} % Override default definitions of \widehat and \widetilde \re@DeclareMathAccent{\widehat}{\mathalpha}{largesymbols}{98} \re@DeclareMathAccent{\widetilde}{\mathalpha}{largesymbols}{101} \def\overgroup#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern.4\p@}% \downgroupfill\crcr\noalign{\kern1.5\p@\nointerlineskip}% $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits} % \def\undergroup#1{\mathop{\vtop{\ialign{##\crcr% $\hfil\displaystyle{#1}\hfil$\crcr% \noalign{\kern1.5\p@\nointerlineskip}% \upgroupfill\crcr\noalign{\kern.5\p@}}}}\limits} % \def\downgroupfill{$\m@th% \groupld\mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu\grouprd$} % \def\upgroupfill{$\m@th% \grouplu\mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu\groupru$} % same thing but with arrows \def\overgroupra#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern.4\p@}% \downgroupfillra\crcr\noalign{\kern1.5\p@\nointerlineskip}% $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits} % \def\undergroupra#1{\mathop{\vtop{\ialign{##\crcr% $\hfil\displaystyle{#1}\hfil$\crcr% \noalign{\kern1.5\p@\nointerlineskip}% \upgroupfillra\crcr\noalign{\kern.5\p@}}}}\limits} % \def\overgroupla#1{\mathop{\vbox{\ialign{##\crcr\noalign{\kern.4\p@}% \downgroupfillla\crcr\noalign{\kern1.5\p@\nointerlineskip}% $\hfil\displaystyle{#1}\hfil$\crcr}}}\limits} % \def\undergroupla#1{\mathop{\vtop{\ialign{##\crcr% $\hfil\displaystyle{#1}\hfil$\crcr% \noalign{\kern1.5\p@\nointerlineskip}% \upgroupfillla\crcr\noalign{\kern.5\p@}}}}\limits} % \def\downgroupfillra{$\m@th% \groupld\mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu\grouprda$} % \def\upgroupfillra{$\m@th% \grouplu\mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu\grouprua$} % \def\downgroupfillla{$\m@th% \grouplda\mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu\grouprd$} % \def\upgroupfillla{$\m@th% \grouplua\mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu\groupru$} % Place a ring over an overgroup symbol, like yhmath \widering \newcommand{\widering}[1]{\overset{\smash{\vbox to .2ex{% \hbox{$\mathring{}$}}}}{\overgroup{#1}}} % \widearc, \wideOarc \DeclareMathAccent{\widearc}{\mathalpha}{largesymbols}{175} \DeclareMathAccent{\wideOarc}{\mathalpha}{largesymbols}{180} %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Symbol A Definitions % AMSa %%%%%%%%%%%%%%%%%%%%%%%%%%%%% \ifpx@ams \re@DeclareMathSymbol{\boxdot}{\mathbin}{AMSm}{128} \re@DeclareMathSymbol{\boxplus}{\mathbin}{AMSm}{129} \re@DeclareMathSymbol{\boxtimes}{\mathbin}{AMSm}{130} \re@DeclareMathSymbol{\square}{\mathord}{AMSm}{131} \re@DeclareMathSymbol{\blacksquare}{\mathord}{AMSm}{132} \re@DeclareMathSymbol{\centerdot}{\mathbin}{AMSm}{133} \re@DeclareMathSymbol{\lozenge}{\mathord}{AMSm}{134} \re@DeclareMathSymbol{\blacklozenge}{\mathord}{AMSm}{135} \re@DeclareMathSymbol{\circlearrowright}{\mathrel}{AMSm}{136} \re@DeclareMathSymbol{\circlearrowleft}{\mathrel}{AMSm}{137} \re@DeclareMathSymbol{\rightleftharpoons}{\mathrel}{AMSm}{138} \re@DeclareMathSymbol{\leftrightharpoons}{\mathrel}{AMSm}{139} \re@DeclareMathSymbol{\boxminus}{\mathbin}{AMSm}{140} \re@DeclareMathSymbol{\Vdash}{\mathrel}{AMSm}{141} \re@DeclareMathSymbol{\Vvdash}{\mathrel}{AMSm}{142} \re@DeclareMathSymbol{\vDash}{\mathrel}{AMSm}{143} \re@DeclareMathSymbol{\twoheadrightarrow}{\mathrel}{AMSm}{144} \re@DeclareMathSymbol{\twoheadleftarrow}{\mathrel}{AMSm}{145} \re@DeclareMathSymbol{\leftleftarrows}{\mathrel}{AMSm}{146} \re@DeclareMathSymbol{\rightrightarrows}{\mathrel}{AMSm}{147} \re@DeclareMathSymbol{\upuparrows}{\mathrel}{AMSm}{148} \re@DeclareMathSymbol{\downdownarrows}{\mathrel}{AMSm}{149} \re@DeclareMathSymbol{\upharpoonright}{\mathrel}{AMSm}{150} \let\restriction\upharpoonright \re@DeclareMathSymbol{\downharpoonright}{\mathrel}{AMSm}{151} \re@DeclareMathSymbol{\upharpoonleft}{\mathrel}{AMSm}{152} \re@DeclareMathSymbol{\downharpoonleft}{\mathrel}{AMSm}{153} \re@DeclareMathSymbol{\rightarrowtail}{\mathrel}{AMSm}{154} \re@DeclareMathSymbol{\leftarrowtail}{\mathrel}{AMSm}{155} \re@DeclareMathSymbol{\leftrightarrows}{\mathrel}{AMSm}{156} \re@DeclareMathSymbol{\rightleftarrows}{\mathrel}{AMSm}{157} \re@DeclareMathSymbol{\Lsh}{\mathrel}{AMSm}{158} \re@DeclareMathSymbol{\Rsh}{\mathrel}{AMSm}{159} \re@DeclareMathSymbol{\rightsquigarrow}{\mathrel}{AMSm}{160} \re@DeclareMathSymbol{\leftrightsquigarrow}{\mathrel}{AMSm}{161} \re@DeclareMathSymbol{\looparrowleft}{\mathrel}{AMSm}{162} \re@DeclareMathSymbol{\looparrowright}{\mathrel}{AMSm}{163} \re@DeclareMathSymbol{\circeq}{\mathrel}{AMSm}{164} \re@DeclareMathSymbol{\succsim}{\mathrel}{AMSm}{165} \re@DeclareMathSymbol{\gtrsim}{\mathrel}{AMSm}{166} \re@DeclareMathSymbol{\gtrapprox}{\mathrel}{AMSm}{167} \re@DeclareMathSymbol{\multimap}{\mathrel}{AMSm}{168} \re@DeclareMathSymbol{\therefore}{\mathrel}{AMSm}{169} \re@DeclareMathSymbol{\because}{\mathrel}{AMSm}{170} \re@DeclareMathSymbol{\doteqdot}{\mathrel}{AMSm}{171} \let\Doteq\doteqdot \re@DeclareMathSymbol{\triangleq}{\mathrel}{AMSm}{172} \re@DeclareMathSymbol{\precsim}{\mathrel}{AMSm}{173} \re@DeclareMathSymbol{\lesssim}{\mathrel}{AMSm}{174} \re@DeclareMathSymbol{\lessapprox}{\mathrel}{AMSm}{175} \re@DeclareMathSymbol{\eqslantless}{\mathrel}{AMSm}{176} \re@DeclareMathSymbol{\eqslantgtr}{\mathrel}{AMSm}{177} \re@DeclareMathSymbol{\curlyeqprec}{\mathrel}{AMSm}{178} \re@DeclareMathSymbol{\curlyeqsucc}{\mathrel}{AMSm}{179} \re@DeclareMathSymbol{\preccurlyeq}{\mathrel}{AMSm}{180} \re@DeclareMathSymbol{\leqq}{\mathrel}{AMSm}{181} \re@DeclareMathSymbol{\leqslant}{\mathrel}{AMSm}{182} \re@DeclareMathSymbol{\lessgtr}{\mathrel}{AMSm}{183} \re@DeclareMathSymbol{\backprime}{\mathord}{AMSm}{184} \re@DeclareMathSymbol{\risingdotseq}{\mathrel}{AMSm}{186} \re@DeclareMathSymbol{\fallingdotseq}{\mathrel}{AMSm}{187} \re@DeclareMathSymbol{\succcurlyeq}{\mathrel}{AMSm}{188} \re@DeclareMathSymbol{\geqq}{\mathrel}{AMSm}{189} \re@DeclareMathSymbol{\geqslant}{\mathrel}{AMSm}{190} \re@DeclareMathSymbol{\gtrless}{\mathrel}{AMSm}{191} \re@DeclareMathSymbol{\sqsubset}{\mathrel}{AMSm}{192} \re@DeclareMathSymbol{\sqsupset}{\mathrel}{AMSm}{193} \re@DeclareMathSymbol{\vartriangleright}{\mathrel}{AMSm}{194} \re@DeclareMathSymbol{\vartriangleleft}{\mathrel}{AMSm}{195} \re@DeclareMathSymbol{\trianglerighteq}{\mathrel}{AMSm}{196} \re@DeclareMathSymbol{\trianglelefteq}{\mathrel}{AMSm}{197} \re@DeclareMathSymbol{\bigstar}{\mathord}{AMSm}{198} \re@DeclareMathSymbol{\between}{\mathrel}{AMSm}{199} \re@DeclareMathSymbol{\blacktriangledown}{\mathord}{AMSm}{200} \re@DeclareMathSymbol{\blacktriangleright}{\mathrel}{AMSm}{201} \re@DeclareMathSymbol{\blacktriangleleft}{\mathrel}{AMSm}{202} \re@DeclareMathSymbol{\vartriangle}{\mathrel}{AMSm}{205} \re@DeclareMathSymbol{\blacktriangle}{\mathord}{AMSm}{206} \re@DeclareMathSymbol{\triangledown}{\mathord}{AMSm}{207} \re@DeclareMathSymbol{\eqcirc}{\mathrel}{AMSm}{208} \re@DeclareMathSymbol{\lesseqgtr}{\mathrel}{AMSm}{209} \re@DeclareMathSymbol{\gtreqless}{\mathrel}{AMSm}{210} \re@DeclareMathSymbol{\lesseqqgtr}{\mathrel}{AMSm}{211} \re@DeclareMathSymbol{\gtreqqless}{\mathrel}{AMSm}{212} \re@DeclareMathSymbol{\Rrightarrow}{\mathrel}{AMSm}{214} \re@DeclareMathSymbol{\Lleftarrow}{\mathrel}{AMSm}{215} \re@DeclareMathSymbol{\veebar}{\mathbin}{AMSm}{217} \re@DeclareMathSymbol{\barwedge}{\mathbin}{AMSm}{218} \re@DeclareMathSymbol{\doublebarwedge}{\mathbin}{AMSm}{219} \re@DeclareMathSymbol{\angle}{\mathord}{AMSm}{220} \re@DeclareMathSymbol{\measuredangle}{\mathord}{AMSm}{221} \re@DeclareMathSymbol{\sphericalangle}{\mathord}{AMSm}{222} \re@DeclareMathSymbol{\varpropto}{\mathrel}{AMSm}{223} \re@DeclareMathSymbol{\smallsmile}{\mathrel}{AMSm}{224} \re@DeclareMathSymbol{\smallfrown}{\mathrel}{AMSm}{225} \re@DeclareMathSymbol{\Subset}{\mathrel}{AMSm}{226} \re@DeclareMathSymbol{\Supset}{\mathrel}{AMSm}{227} \re@DeclareMathSymbol{\Cup}{\mathbin}{AMSm}{228} \let\doublecup\Cup \re@DeclareMathSymbol{\Cap}{\mathbin}{AMSm}{229} \let\doublecap\Cap \re@DeclareMathSymbol{\curlywedge}{\mathbin}{AMSm}{230} \re@DeclareMathSymbol{\curlyvee}{\mathbin}{AMSm}{231} \re@DeclareMathSymbol{\leftthreetimes}{\mathbin}{AMSm}{232} \re@DeclareMathSymbol{\rightthreetimes}{\mathbin}{AMSm}{233} \re@DeclareMathSymbol{\subseteqq}{\mathrel}{AMSm}{234} \re@DeclareMathSymbol{\supseteqq}{\mathrel}{AMSm}{235} \re@DeclareMathSymbol{\bumpeq}{\mathrel}{AMSm}{236} \re@DeclareMathSymbol{\Bumpeq}{\mathrel}{AMSm}{237} \re@DeclareMathSymbol{\lll}{\mathrel}{AMSm}{238} \let\llless\lll \re@DeclareMathSymbol{\ggg}{\mathrel}{AMSm}{239} \let\gggtr\ggg \re@DeclareMathDelimiter\ulcorner{\mathopen}{AMSm}{240}{AMSm}{240} \re@DeclareMathDelimiter\urcorner{\mathclose}{AMSm}{241}{AMSm}{241} \re@DeclareMathSymbol{\circledS}{\mathord}{AMSm}{243} \re@DeclareMathSymbol{\pitchfork}{\mathrel}{AMSm}{244} \re@DeclareMathSymbol{\dotplus}{\mathbin}{AMSm}{245} \re@DeclareMathSymbol{\backsim}{\mathrel}{AMSm}{246} \re@DeclareMathSymbol{\backsimeq}{\mathrel}{AMSm}{247} \re@DeclareMathDelimiter\llcorner{\mathopen}{AMSm}{248}{AMSm}{248} \re@DeclareMathDelimiter\lrcorner{\mathclose}{AMSm}{249}{AMSm}{249} \re@DeclareMathSymbol{\complement}{\mathord}{AMSm}{251} \re@DeclareMathSymbol{\intercal}{\mathbin}{AMSm}{252} \re@DeclareMathSymbol{\circledcirc}{\mathbin}{AMSm}{253} \re@DeclareMathSymbol{\circledast}{\mathbin}{AMSm}{254} \re@DeclareMathSymbol{\circleddash}{\mathbin}{AMSm}{255} \let\Box=\square % LaTeX symbol \re@DeclareMathSymbol{\rhd}{\mathbin}{AMSm}{194} % LaTeX symbol \re@DeclareMathSymbol{\lhd}{\mathbin}{AMSm}{195} % LaTeX symbol \re@DeclareMathSymbol{\unrhd}{\mathbin}{AMSm}{196} % LaTeX symbol \re@DeclareMathSymbol{\unlhd}{\mathbin}{AMSm}{197} % LaTeX symbol %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Symbol B Definitions % AMSb %%%%%%%%%%%%%%%%%%%%%%%%%%%%% \re@DeclareMathSymbol{\lvertneqq}{\mathrel}{AMSm}{0} \re@DeclareMathSymbol{\gvertneqq}{\mathrel}{AMSm}{1} \re@DeclareMathSymbol{\nleq}{\mathrel}{AMSm}{2} \re@DeclareMathSymbol{\ngeq}{\mathrel}{AMSm}{3} \re@DeclareMathSymbol{\nless}{\mathrel}{AMSm}{4} \re@DeclareMathSymbol{\ngtr}{\mathrel}{AMSm}{5} \re@DeclareMathSymbol{\nprec}{\mathrel}{AMSm}{6} \re@DeclareMathSymbol{\nsucc}{\mathrel}{AMSm}{7} \re@DeclareMathSymbol{\lneqq}{\mathrel}{AMSm}{8} \re@DeclareMathSymbol{\gneqq}{\mathrel}{AMSm}{9} \re@DeclareMathSymbol{\nleqslant}{\mathrel}{AMSm}{10} \re@DeclareMathSymbol{\ngeqslant}{\mathrel}{AMSm}{11} \re@DeclareMathSymbol{\lneq}{\mathrel}{AMSm}{12} \re@DeclareMathSymbol{\gneq}{\mathrel}{AMSm}{13} \re@DeclareMathSymbol{\npreceq}{\mathrel}{AMSm}{14} \re@DeclareMathSymbol{\nsucceq}{\mathrel}{AMSm}{15} \re@DeclareMathSymbol{\precnsim}{\mathrel}{AMSm}{16} \re@DeclareMathSymbol{\succnsim}{\mathrel}{AMSm}{17} \re@DeclareMathSymbol{\lnsim}{\mathrel}{AMSm}{18} \re@DeclareMathSymbol{\gnsim}{\mathrel}{AMSm}{19} \re@DeclareMathSymbol{\nleqq}{\mathrel}{AMSm}{20} \re@DeclareMathSymbol{\ngeqq}{\mathrel}{AMSm}{21} \re@DeclareMathSymbol{\precneqq}{\mathrel}{AMSm}{22} \re@DeclareMathSymbol{\succneqq}{\mathrel}{AMSm}{23} \re@DeclareMathSymbol{\precnapprox}{\mathrel}{AMSm}{24} \re@DeclareMathSymbol{\succnapprox}{\mathrel}{AMSm}{25} \re@DeclareMathSymbol{\lnapprox}{\mathrel}{AMSm}{26} \re@DeclareMathSymbol{\gnapprox}{\mathrel}{AMSm}{27} \re@DeclareMathSymbol{\nsim}{\mathrel}{AMSm}{28} \re@DeclareMathSymbol{\ncong}{\mathrel}{AMSm}{29} \re@DeclareMathSymbol{\diagup}{\mathord}{AMSm}{30} \re@DeclareMathSymbol{\diagdown}{\mathord}{AMSm}{31} \re@DeclareMathSymbol{\varsubsetneq}{\mathrel}{AMSm}{32} \re@DeclareMathSymbol{\varsupsetneq}{\mathrel}{AMSm}{33} \re@DeclareMathSymbol{\nsubseteqq}{\mathrel}{AMSm}{34} \re@DeclareMathSymbol{\nsupseteqq}{\mathrel}{AMSm}{35} \re@DeclareMathSymbol{\subsetneqq}{\mathrel}{AMSm}{36} \re@DeclareMathSymbol{\supsetneqq}{\mathrel}{AMSm}{37} \re@DeclareMathSymbol{\varsubsetneqq}{\mathrel}{AMSm}{38} \re@DeclareMathSymbol{\varsupsetneqq}{\mathrel}{AMSm}{39} \re@DeclareMathSymbol{\subsetneq}{\mathrel}{AMSm}{40} \re@DeclareMathSymbol{\supsetneq}{\mathrel}{AMSm}{41} \re@DeclareMathSymbol{\nsubseteq}{\mathrel}{AMSm}{42} \re@DeclareMathSymbol{\nsupseteq}{\mathrel}{AMSm}{43} \re@DeclareMathSymbol{\nparallel}{\mathrel}{AMSm}{44} \re@DeclareMathSymbol{\nmid}{\mathrel}{AMSm}{45} \re@DeclareMathSymbol{\nshortmid}{\mathrel}{AMSm}{46} \re@DeclareMathSymbol{\nshortparallel}{\mathrel}{AMSm}{47} \re@DeclareMathSymbol{\nvdash}{\mathrel}{AMSm}{48} \re@DeclareMathSymbol{\nVdash}{\mathrel}{AMSm}{49} \re@DeclareMathSymbol{\nvDash}{\mathrel}{AMSm}{50} \re@DeclareMathSymbol{\nVDash}{\mathrel}{AMSm}{51} \re@DeclareMathSymbol{\ntrianglerighteq}{\mathrel}{AMSm}{52} \re@DeclareMathSymbol{\ntrianglelefteq}{\mathrel}{AMSm}{53} \re@DeclareMathSymbol{\ntriangleleft}{\mathrel}{AMSm}{54} \re@DeclareMathSymbol{\ntriangleright}{\mathrel}{AMSm}{55} \re@DeclareMathSymbol{\nleftarrow}{\mathrel}{AMSm}{56} \re@DeclareMathSymbol{\nrightarrow}{\mathrel}{AMSm}{57} \re@DeclareMathSymbol{\nLeftarrow}{\mathrel}{AMSm}{58} \re@DeclareMathSymbol{\nRightarrow}{\mathrel}{AMSm}{59} \re@DeclareMathSymbol{\nLeftrightarrow}{\mathrel}{AMSm}{60} \re@DeclareMathSymbol{\nleftrightarrow}{\mathrel}{AMSm}{61} \re@DeclareMathSymbol{\divideontimes}{\mathbin}{AMSm}{62} %\re@DeclareMathSymbol{\varnothing}{\mathord}{AMSm}{63} \re@DeclareMathSymbol{\nexists}{\mathord}{AMSm}{64} \re@DeclareMathSymbol{\Finv}{\mathord}{AMSm}{96} \re@DeclareMathSymbol{\Game}{\mathord}{AMSm}{97} \re@DeclareMathSymbol{\mho}{\mathord}{AMSm}{102} \re@DeclareMathSymbol{\eth}{\mathord}{AMSm}{103} \re@DeclareMathSymbol{\eqsim}{\mathrel}{AMSm}{104} \re@DeclareMathSymbol{\beth}{\mathord}{AMSm}{105} \re@DeclareMathSymbol{\gimel}{\mathord}{AMSm}{106} \re@DeclareMathSymbol{\daleth}{\mathord}{AMSm}{107} \re@DeclareMathSymbol{\lessdot}{\mathbin}{AMSm}{108} \re@DeclareMathSymbol{\gtrdot}{\mathbin}{AMSm}{109} \re@DeclareMathSymbol{\ltimes}{\mathbin}{AMSm}{110} \re@DeclareMathSymbol{\rtimes}{\mathbin}{AMSm}{111} \re@DeclareMathSymbol{\shortmid}{\mathrel}{AMSm}{112} \re@DeclareMathSymbol{\shortparallel}{\mathrel}{AMSm}{113} \re@DeclareMathSymbol{\smallsetminus}{\mathbin}{AMSm}{114} \re@DeclareMathSymbol{\thicksim}{\mathrel}{AMSm}{115} \re@DeclareMathSymbol{\thickapprox}{\mathrel}{AMSm}{116} \re@DeclareMathSymbol{\approxeq}{\mathrel}{AMSm}{117} \re@DeclareMathSymbol{\precapprox}{\mathrel}{AMSm}{118} \re@DeclareMathSymbol{\succapprox}{\mathrel}{AMSm}{119} \re@DeclareMathSymbol{\curvearrowleft}{\mathrel}{AMSm}{120} \re@DeclareMathSymbol{\curvearrowright}{\mathrel}{AMSm}{121} \re@DeclareMathSymbol{\digamma}{\mathord}{AMSm}{122} %\re@DeclareMathSymbol{\varkappa}{\mathord}{AMSm}{123} \re@DeclareMathSymbol{\Bbbk}{\mathord}{AMSm}{124} \re@DeclareMathSymbol{\hslash}{\mathord}{AMSm}{125} \re@DeclareMathSymbol{\hbar}{\mathord}{AMSm}{126} \re@DeclareMathSymbol{\backepsilon}{\mathrel}{AMSm}{127} \fi %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Symbol C Definitions % symbolsC %%%%%%%%%%%%%%%%%%%%%%%%%%%%% \ifpx@symbolsC \re@DeclareMathSymbol{\mappedfromchar}{\mathrel}{symbolsC}{0} \def\mappedfrom{\leftarrow\mappedfromchar} \let\mapsfrom\mappedfrom \def\longmappedfrom{\longleftarrow\mappedfromchar} \re@DeclareMathSymbol{\Mapstochar}{\mathrel}{symbolsC}{1} \def\Mapsto{\Mapstochar\Rightarrow} \def\Longmapsto{\Mapstochar\Longrightarrow} \re@DeclareMathSymbol{\Mappedfromchar}{\mathrel}{symbolsC}{2} \def\Mappedfrom{\Leftarrow\Mappedfromchar} \let\Mapsfrom\Mappedfrom \def\Longmappedfrom{\Longleftarrow\Mappedfromchar} \re@DeclareMathSymbol{\mmapstochar}{\mathrel}{symbolsC}{3} \def\mmapsto{\mmapstochar\rightarrow} \def\longmmapsto{\mmapstochar\longrightarrow} \re@DeclareMathSymbol{\mmappedfromchar}{\mathrel}{symbolsC}{4} \def\mmappedfrom{\leftarrow\mmappedfromchar} \def\longmmappedfrom{\longleftarrow\mmappedfromchar} \re@DeclareMathSymbol{\Mmapstochar}{\mathrel}{symbolsC}{5} \def\Mmapsto{\Mmapstochar\Rightarrow} \def\Longmmapsto{\Mmapstochar\Longrightarrow} \re@DeclareMathSymbol{\Mmappedfromchar}{\mathrel}{symbolsC}{6} \def\Mmappedfrom{\Leftarrow\Mmappedfromchar} \def\Longmmappedfrom{\Longleftarrow\Mmappedfromchar} \re@DeclareMathSymbol{\medcirc}{\mathbin}{symbolsC}{7} \re@DeclareMathSymbol{\medbullet}{\mathbin}{symbolsC}{8} \re@DeclareMathSymbol{\varparallel}{\mathrel}{symbolsC}{9} \re@DeclareMathSymbol{\varparallelinv}{\mathrel}{symbolsC}{10} \re@DeclareMathSymbol{\nvarparallel}{\mathrel}{symbolsC}{11} \re@DeclareMathSymbol{\nvarparallelinv}{\mathrel}{symbolsC}{12} \re@DeclareMathSymbol{\colonapprox}{\mathrel}{symbolsC}{13} \re@DeclareMathSymbol{\colonsim}{\mathrel}{symbolsC}{14} \re@DeclareMathSymbol{\Colonapprox}{\mathrel}{symbolsC}{15} \re@DeclareMathSymbol{\Colonsim}{\mathrel}{symbolsC}{16} \re@DeclareMathSymbol{\doteq}{\mathrel}{symbolsC}{17} \re@DeclareMathSymbol{\multimapinv}{\mathrel}{symbolsC}{18} \re@DeclareMathSymbol{\multimapboth}{\mathrel}{symbolsC}{19} \re@DeclareMathSymbol{\multimapdot}{\mathrel}{symbolsC}{20} \re@DeclareMathSymbol{\multimapdotinv}{\mathrel}{symbolsC}{21} \re@DeclareMathSymbol{\multimapdotboth}{\mathrel}{symbolsC}{22} \re@DeclareMathSymbol{\multimapdotbothA}{\mathrel}{symbolsC}{23} \re@DeclareMathSymbol{\multimapdotbothB}{\mathrel}{symbolsC}{24} \re@DeclareMathSymbol{\VDash}{\mathrel}{symbolsC}{25} \re@DeclareMathSymbol{\VvDash}{\mathrel}{symbolsC}{26} \re@DeclareMathSymbol{\cong}{\mathrel}{symbolsC}{27} \re@DeclareMathSymbol{\preceqq}{\mathrel}{symbolsC}{28} \re@DeclareMathSymbol{\succeqq}{\mathrel}{symbolsC}{29} \re@DeclareMathSymbol{\nprecsim}{\mathrel}{symbolsC}{30} \re@DeclareMathSymbol{\nsuccsim}{\mathrel}{symbolsC}{31} \re@DeclareMathSymbol{\nlesssim}{\mathrel}{symbolsC}{32} \re@DeclareMathSymbol{\ngtrsim}{\mathrel}{symbolsC}{33} \re@DeclareMathSymbol{\nlessapprox}{\mathrel}{symbolsC}{34} \re@DeclareMathSymbol{\ngtrapprox}{\mathrel}{symbolsC}{35} \re@DeclareMathSymbol{\npreccurlyeq}{\mathrel}{symbolsC}{36} \re@DeclareMathSymbol{\nsucccurlyeq}{\mathrel}{symbolsC}{37} \re@DeclareMathSymbol{\ngtrless}{\mathrel}{symbolsC}{38} \re@DeclareMathSymbol{\nlessgtr}{\mathrel}{symbolsC}{39} \re@DeclareMathSymbol{\nbumpeq}{\mathrel}{symbolsC}{40} \re@DeclareMathSymbol{\nBumpeq}{\mathrel}{symbolsC}{41} \re@DeclareMathSymbol{\nbacksim}{\mathrel}{symbolsC}{42} \re@DeclareMathSymbol{\nbacksimeq}{\mathrel}{symbolsC}{43} %\re@DeclareMathSymbol{\neq}{\mathrel}{symbolsC}{44} % \let\ne=\neq \re@DeclareMathSymbol{\nasymp}{\mathrel}{symbolsC}{45} \re@DeclareMathSymbol{\nequiv}{\mathrel}{symbolsC}{46} \re@DeclareMathSymbol{\nsim}{\mathrel}{symbolsC}{47} \re@DeclareMathSymbol{\napprox}{\mathrel}{symbolsC}{48} %\re@DeclareMathSymbol{\nsubset}{\mathrel}{symbolsC}{49} %\re@DeclareMathSymbol{\nsupset}{\mathrel}{symbolsC}{50} \re@DeclareMathSymbol{\nll}{\mathrel}{symbolsC}{51} \re@DeclareMathSymbol{\ngg}{\mathrel}{symbolsC}{52} \re@DeclareMathSymbol{\nthickapprox}{\mathrel}{symbolsC}{53} \re@DeclareMathSymbol{\napproxeq}{\mathrel}{symbolsC}{54} \re@DeclareMathSymbol{\nprecapprox}{\mathrel}{symbolsC}{55} \re@DeclareMathSymbol{\nsuccapprox}{\mathrel}{symbolsC}{56} \re@DeclareMathSymbol{\npreceqq}{\mathrel}{symbolsC}{57} \re@DeclareMathSymbol{\nsucceqq}{\mathrel}{symbolsC}{58} \re@DeclareMathSymbol{\nsimeq}{\mathrel}{symbolsC}{59} %\re@DeclareMathSymbol{\notin}{\mathrel}{symbolsC}{60} %\re@DeclareMathSymbol{\notni}{\mathrel}{symbolsC}{61} % \let\notowns=\notni \re@DeclareMathSymbol{\nSubset}{\mathrel}{symbolsC}{62} \re@DeclareMathSymbol{\nSupset}{\mathrel}{symbolsC}{63} \re@DeclareMathSymbol{\nsqsubseteq}{\mathrel}{symbolsC}{64} \re@DeclareMathSymbol{\nsqsupseteq}{\mathrel}{symbolsC}{65} \re@DeclareMathSymbol{\coloneqq}{\mathrel}{symbolsC}{66} \re@DeclareMathSymbol{\eqqcolon}{\mathrel}{symbolsC}{67} %\re@DeclareMathSymbol{\coloneq}{\mathrel}{symbolsC}{68} %\re@DeclareMathSymbol{\eqcolon}{\mathrel}{symbolsC}{69} \re@DeclareMathSymbol{\Coloneqq}{\mathrel}{symbolsC}{70} \re@DeclareMathSymbol{\Eqqcolon}{\mathrel}{symbolsC}{71} \re@DeclareMathSymbol{\Coloneq}{\mathrel}{symbolsC}{72} \re@DeclareMathSymbol{\Eqcolon}{\mathrel}{symbolsC}{73} \re@DeclareMathSymbol{\strictif}{\mathrel}{symbolsC}{74} \re@DeclareMathSymbol{\strictfi}{\mathrel}{symbolsC}{75} \re@DeclareMathSymbol{\strictiff}{\mathrel}{symbolsC}{76} \re@DeclareMathSymbol{\invamp}{\mathbin}{symbolsC}{77} \re@DeclareMathDelimiter{\lbag}{\mathopen}{symbolsC}{78}{largesymbolsPXA}{48} \re@DeclareMathDelimiter{\rbag}{\mathclose}{symbolsC}{79}{largesymbolsPXA}{49} \re@DeclareMathSymbol{\Lbag}{\mathopen}{symbolsC}{80} \re@DeclareMathSymbol{\Rbag}{\mathclose}{symbolsC}{81} \re@DeclareMathSymbol{\circledless}{\mathrel}{symbolsC}{82} \re@DeclareMathSymbol{\circledgtr}{\mathrel}{symbolsC}{83} \re@DeclareMathSymbol{\circledwedge}{\mathbin}{symbolsC}{84} \re@DeclareMathSymbol{\circledvee}{\mathbin}{symbolsC}{85} \re@DeclareMathSymbol{\circledbar}{\mathbin}{symbolsC}{86} \re@DeclareMathSymbol{\circledbslash}{\mathbin}{symbolsC}{87} \re@DeclareMathSymbol{\lJoin}{\mathrel}{symbolsC}{88} \re@DeclareMathSymbol{\rJoin}{\mathrel}{symbolsC}{89} \re@DeclareMathSymbol{\Join}{\mathrel}{symbolsC}{90} \let\lrJoin=\Join \re@DeclareMathSymbol{\openJoin}{\mathrel}{symbolsC}{91} \re@DeclareMathSymbol{\lrtimes}{\mathrel}{symbolsC}{92} % \let\bowtie\lrtimes \re@DeclareMathSymbol{\opentimes}{\mathrel}{symbolsC}{93} \re@DeclareMathSymbol{\Diamond}{\mathord}{symbolsC}{94} \re@DeclareMathSymbol{\Diamondblack}{\mathord}{symbolsC}{95} \re@DeclareMathSymbol{\nplus}{\mathbin}{symbolsC}{96} \re@DeclareMathSymbol{\nsqsubset}{\mathrel}{symbolsC}{97} \re@DeclareMathSymbol{\nsqsupset}{\mathrel}{symbolsC}{98} \re@DeclareMathSymbol{\dashleftarrow}{\mathrel}{symbolsC}{99} \re@DeclareMathSymbol{\dashrightarrow}{\mathrel}{symbolsC}{100} \let\dasharrow\dashrightarrow \re@DeclareMathSymbol{\dashleftrightarrow}{\mathrel}{symbolsC}{101} \re@DeclareMathSymbol{\leftsquigarrow}{\mathrel}{symbolsC}{102} \re@DeclareMathSymbol{\ntwoheadrightarrow}{\mathrel}{symbolsC}{103} \re@DeclareMathSymbol{\ntwoheadleftarrow}{\mathrel}{symbolsC}{104} \re@DeclareMathSymbol{\boxast}{\mathbin}{symbolsC}{105} \re@DeclareMathSymbol{\boxbslash}{\mathbin}{symbolsC}{106} \re@DeclareMathSymbol{\boxbar}{\mathbin}{symbolsC}{107} \re@DeclareMathSymbol{\boxslash}{\mathbin}{symbolsC}{108} \re@DeclareMathSymbol{\Wr}{\mathbin}{symbolsC}{109} \re@DeclareMathSymbol{\lambdaslash}{\mathord}{symbolsC}{110} \re@DeclareMathSymbol{\lambdabar}{\mathord}{symbolsC}{111} \re@DeclareMathSymbol{\varclubsuit}{\mathord}{symbolsC}{112} \re@DeclareMathSymbol{\vardiamondsuit}{\mathord}{symbolsC}{113} \re@DeclareMathSymbol{\varheartsuit}{\mathord}{symbolsC}{114} \re@DeclareMathSymbol{\varspadesuit}{\mathord}{symbolsC}{115} \re@DeclareMathSymbol{\Nearrow}{\mathrel}{symbolsC}{116} \re@DeclareMathSymbol{\Searrow}{\mathrel}{symbolsC}{117} \re@DeclareMathSymbol{\Nwarrow}{\mathrel}{symbolsC}{118} \re@DeclareMathSymbol{\Swarrow}{\mathrel}{symbolsC}{119} \re@DeclareMathSymbol{\Top}{\mathord}{symbolsC}{120} \re@DeclareMathSymbol{\Bot}{\mathord}{symbolsC}{121} \re@DeclareMathSymbol{\Perp}{\mathrel}{symbolsC}{121} \re@DeclareMathSymbol\leadstoext{\mathrel}{symbolsC}{122} \re@DeclareMathSymbol\leadsto{\mathrel}{symbolsC}{123} \re@DeclareMathSymbol{\sqcupplus}{\mathbin}{symbolsC}{124} \re@DeclareMathSymbol{\sqcapplus}{\mathbin}{symbolsC}{125} \re@DeclareMathDelimiter{\llbracket}{\mathopen}{symbolsC}{126}{largesymbolsPXA}{18} \re@DeclareMathDelimiter{\rrbracket}{\mathclose}{symbolsC}{127}{largesymbolsPXA}{19} \re@DeclareMathSymbol{\boxright}{\mathrel}{symbolsC}{128} \re@DeclareMathSymbol{\boxleft}{\mathrel}{symbolsC}{129} \re@DeclareMathSymbol{\boxdotright}{\mathrel}{symbolsC}{130} \re@DeclareMathSymbol{\boxdotleft}{\mathrel}{symbolsC}{131} \re@DeclareMathSymbol{\Diamondright}{\mathrel}{symbolsC}{132} \re@DeclareMathSymbol{\Diamondleft}{\mathrel}{symbolsC}{133} \re@DeclareMathSymbol{\Diamonddotright}{\mathrel}{symbolsC}{134} \re@DeclareMathSymbol{\Diamonddotleft}{\mathrel}{symbolsC}{135} \re@DeclareMathSymbol{\boxRight}{\mathrel}{symbolsC}{136} \re@DeclareMathSymbol{\boxLeft}{\mathrel}{symbolsC}{137} \re@DeclareMathSymbol{\boxdotRight}{\mathrel}{symbolsC}{138} \re@DeclareMathSymbol{\boxdotLeft}{\mathrel}{symbolsC}{139} \re@DeclareMathSymbol{\DiamondRight}{\mathrel}{symbolsC}{140} \re@DeclareMathSymbol{\DiamondLeft}{\mathrel}{symbolsC}{141} \re@DeclareMathSymbol{\DiamonddotRight}{\mathrel}{symbolsC}{142} \re@DeclareMathSymbol{\DiamonddotLeft}{\mathrel}{symbolsC}{143} \re@DeclareMathSymbol{\Diamonddot}{\mathord}{symbolsC}{144} \re@DeclareMathSymbol{\circleright}{\mathrel}{symbolsC}{145} \re@DeclareMathSymbol{\circleleft}{\mathrel}{symbolsC}{146} \re@DeclareMathSymbol{\circleddotright}{\mathrel}{symbolsC}{147} \let\circledotright\circleddotright \re@DeclareMathSymbol{\circleddotleft}{\mathrel}{symbolsC}{148} \let\circledotleft\circleddotleft \re@DeclareMathSymbol{\multimapbothvert}{\mathrel}{symbolsC}{149} \re@DeclareMathSymbol{\multimapdotbothvert}{\mathrel}{symbolsC}{150} \re@DeclareMathSymbol{\multimapdotbothBvert}{\mathrel}{symbolsC}{151} \re@DeclareMathSymbol{\multimapdotbothAvert}{\mathrel}{symbolsC}{152} \fi % The following may be used for [[ and ]] without loading symbolsC as a math family. They replace \llbracket and \rrbracket. \def\dlb{\ensuremath\raisebox{.15ex}{\mbox{\usefont{U}{txsyc}{m}{n}\char126}}} \def\drb{\ensuremath\raisebox{.15ex}{\mbox{\usefont{U}{txsyc}{m}{n}\char127}}} % Changes to put some symbolsC glyphs into lettersA \re@DeclareMathSymbol{\nsubset}{\mathrel}{lettersA}{54} \re@DeclareMathSymbol{\nsupset}{\mathrel}{lettersA}{55} \re@DeclareMathSymbol{\notin}{\mathrel}{lettersA}{56} \re@DeclareMathSymbol{\notni}{\mathrel}{lettersA}{57} \let\notowns=\notni \re@DeclareMathSymbol{\coloneq}{\mathrel}{lettersA}{58} \re@DeclareMathSymbol{\eqcolon}{\mathrel}{lettersA}{59} \re@DeclareMathSymbol{\neq}{\mathrel}{lettersA}{60} \let\ne=\neq %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Italic (npxmi) Definition % letters %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %"01-"0A: italic uppercase Greek %\DeclareMathSymbol{\alpha}{\mathord}{letters}{11} %\DeclareMathSymbol{\beta}{\mathord}{letters}{12} %\DeclareMathSymbol{\gamma}{\mathord}{letters}{13} %\DeclareMathSymbol{\delta}{\mathord}{letters}{14} %\DeclareMathSymbol{\epsilon}{\mathord}{letters}{15} %\DeclareMathSymbol{\zeta}{\mathord}{letters}{16} %\DeclareMathSymbol{\eta}{\mathord}{letters}{17} %\DeclareMathSymbol{\theta}{\mathord}{letters}{18} %\DeclareMathSymbol{\iota}{\mathord}{letters}{19} %\DeclareMathSymbol{\kappa}{\mathord}{letters}{20} %\DeclareMathSymbol{\lambda}{\mathord}{letters}{21} %\DeclareMathSymbol{\mu}{\mathord}{letters}{22} %\DeclareMathSymbol{\nu}{\mathord}{letters}{23} %\DeclareMathSymbol{\xi}{\mathord}{letters}{24} %\DeclareMathSymbol{\pi}{\mathord}{letters}{25} %\DeclareMathSymbol{\rho}{\mathord}{letters}{26} %\DeclareMathSymbol{\sigma}{\mathord}{letters}{27} %\DeclareMathSymbol{\tau}{\mathord}{letters}{28} %\DeclareMathSymbol{\upsilon}{\mathord}{letters}{29} %\DeclareMathSymbol{\phi}{\mathord}{letters}{30} %\DeclareMathSymbol{\chi}{\mathord}{letters}{31} %\DeclareMathSymbol{\psi}{\mathord}{letters}{32} %\DeclareMathSymbol{\omega}{\mathord}{letters}{33} %\DeclareMathSymbol{\varepsilon}{\mathord}{letters}{34} %\DeclareMathSymbol{\vartheta}{\mathord}{letters}{35} %\DeclareMathSymbol{\varpi}{\mathord}{letters}{36} %\DeclareMathSymbol{\varrho}{\mathord}{letters}{37} %\DeclareMathSymbol{\varsigma}{\mathord}{letters}{38} %\DeclareMathSymbol{\varphi}{\mathord}{letters}{39} %\DeclareMathSymbol{\leftharpoonup}{\mathrel}{letters}{40} %\DeclareMathSymbol{\leftharpoondown}{\mathrel}{letters}{41} %\DeclareMathSymbol{\rightharpoonup}{\mathrel}{letters}{42} %\DeclareMathSymbol{\rightharpoondown}{\mathrel}{letters}{43} %\DeclareMathSymbol{\lhook}{\mathrel}{letters}{44} %\DeclareMathSymbol{\rhook}{\mathrel}{letters}{45} %\DeclareMathSymbol{\triangleright}{\mathbin}{letters}{46} %\DeclareMathSymbol{\triangleleft}{\mathbin}{letters}{47} %"30-"39: old style numerals %\DeclareMathSymbol{\ldotp}{\mathpunct}{letters}{58} %\DeclareMathSymbol{.}{\mathord}{letters}{58} %\DeclareMathSymbol{,}{\mathpunct}{letters}{59} %\DeclareMathSymbol{<}{\mathrel}{letters}{60} %\DeclareMathSymbol{/}{\mathord}{letters}{61} %\DeclareMathSymbol{>}{\mathrel}{letters}{62} %\DeclareMathSymbol{\star}{\mathbin}{letters}{63} %\DeclareMathSymbol{\partial}{\mathord}{letters}{64} %"41-"5A: A-Z %\DeclareMathSymbol{\flat}{\mathord}{letters}{91} %\DeclareMathSymbol{\natural}{\mathord}{letters}{92} %\DeclareMathSymbol{\sharp}{\mathord}{letters}{93} %\DeclareMathSymbol{\smile}{\mathrel}{letters}{94} %\DeclareMathSymbol{\frown}{\mathrel}{letters}{95} %\DeclareMathSymbol{\ell}{\mathord}{letters}{96} %"61-"7A: a-z %\DeclareMathSymbol{\imath}{\mathord}{letters}{123} %\DeclareMathSymbol{\jmath}{\mathord}{letters}{124} %\DeclareMathSymbol{\wp}{\mathord}{letters}{125} %\DeclareMathAccent{\vec}{\mathord}{letters}{126} %"7F %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Italic A (npxmia) Definition % lettersA %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \re@DeclareMathSymbol{\varkappa}{\mathord}{lettersA}{41} \re@DeclareMathSymbol{\varkappaup}{\mathord}{lettersA}{42} % upright Greek \re@DeclareMathSymbol{\Gammaup}{\mathord}{lettersA}{0} \re@DeclareMathSymbol{\Deltaup}{\mathord}{lettersA}{1} \re@DeclareMathSymbol{\Thetaup}{\mathord}{lettersA}{2} \re@DeclareMathSymbol{\Lambdaup}{\mathord}{lettersA}{3} \re@DeclareMathSymbol{\Xiup}{\mathord}{lettersA}{4} \re@DeclareMathSymbol{\Piup}{\mathord}{lettersA}{5} \re@DeclareMathSymbol{\Sigmaup}{\mathord}{lettersA}{6} \re@DeclareMathSymbol{\Upsilonup}{\mathord}{lettersA}{7} \re@DeclareMathSymbol{\Phiup}{\mathord}{lettersA}{8} \re@DeclareMathSymbol{\Psiup}{\mathord}{lettersA}{9} \re@DeclareMathSymbol{\Omegaup}{\mathord}{lettersA}{10} \re@DeclareMathSymbol{\alphaup}{\mathord}{lettersA}{11} \re@DeclareMathSymbol{\betaup}{\mathord}{lettersA}{12} \re@DeclareMathSymbol{\gammaup}{\mathord}{lettersA}{13} \re@DeclareMathSymbol{\deltaup}{\mathord}{lettersA}{14} \re@DeclareMathSymbol{\epsilonup}{\mathord}{lettersA}{15} \re@DeclareMathSymbol{\zetaup}{\mathord}{lettersA}{16} \re@DeclareMathSymbol{\etaup}{\mathord}{lettersA}{17} \re@DeclareMathSymbol{\thetaup}{\mathord}{lettersA}{18} \re@DeclareMathSymbol{\iotaup}{\mathord}{lettersA}{19} \re@DeclareMathSymbol{\kappaup}{\mathord}{lettersA}{20} \re@DeclareMathSymbol{\lambdaup}{\mathord}{lettersA}{21} \re@DeclareMathSymbol{\muup}{\mathord}{lettersA}{22} \re@DeclareMathSymbol{\nuup}{\mathord}{lettersA}{23} \re@DeclareMathSymbol{\xiup}{\mathord}{lettersA}{24} \re@DeclareMathSymbol{\piup}{\mathord}{lettersA}{25} \re@DeclareMathSymbol{\rhoup}{\mathord}{lettersA}{26} \re@DeclareMathSymbol{\sigmaup}{\mathord}{lettersA}{27} \re@DeclareMathSymbol{\tauup}{\mathord}{lettersA}{28} \re@DeclareMathSymbol{\upsilonup}{\mathord}{lettersA}{29} \re@DeclareMathSymbol{\phiup}{\mathord}{lettersA}{30} \re@DeclareMathSymbol{\chiup}{\mathord}{lettersA}{31} \re@DeclareMathSymbol{\psiup}{\mathord}{lettersA}{32} \re@DeclareMathSymbol{\omegaup}{\mathord}{lettersA}{33} \re@DeclareMathSymbol{\varepsilonup}{\mathord}{lettersA}{34} \re@DeclareMathSymbol{\varthetaup}{\mathord}{lettersA}{35} \re@DeclareMathSymbol{\varpiup}{\mathord}{lettersA}{36} \re@DeclareMathSymbol{\varrhoup}{\mathord}{lettersA}{37} \re@DeclareMathSymbol{\varsigmaup}{\mathord}{lettersA}{38} \re@DeclareMathSymbol{\varphiup}{\mathord}{lettersA}{39} % and, for compatability with other packages (mtpro2, lucida, etc) \let\upGamma\Gammaup \let\upDelta\Deltaup \let\upTheta\Thetaup \let\upLambda\Lambdaup \let\upXi\Xiup \let\upPi\Piup \let\upSigma\Sigmaup \let\upUpsilon\Upsilonup \let\upPhi\Phiup \let\upPsi\Psiup \let\upOmega\Omegaup \let\upalpha\alphaup \let\upbeta\betaup \let\upgamma\gammaup \let\updelta\deltaup \let\upepsilon\epsilonup \let\upzeta\zetaup \let\upeta\etaup \let\uptheta\thetaup \let\upiota\iotaup \let\upkappa\kappaup \let\uplambda\lambdaup \let\upmu\muup \let\upnu\nuup \let\upxi\xiup \let\uppi\piup \let\uprho\rhoup \let\upsigma\sigmaup \let\uptau\tauup \let\upupsilon\upsilonup \let\upphi\phiup \let\upchi\chiup \let\uppsi\psiup \let\upomega\omegaup \let\upvarepsilon\varepsilonup \let\upvartheta\varthetaup \let\upvarpi\varpiup \let\upvarrho\varrhoup \let\upvarsigma\varsigmaup \let\upvarphi\varphiup \let\upvarkappa\varkappaup % the mathgroup of lettersA is stored in macro \symlettersA \ifpx@frenchm \let\alpha\alphaup \let\beta\betaup \let\gamma\gammaup \let\delta\deltaup \let\epsilon\epsilonup \let\zeta\zetaup \let\eta\etaup \let\theta\thetaup \let\iota\iotaup \let\kappa\kappaup \let\lambda\lambdaup \let\mu\muup \let\nu\nuup \let\xi\xiup \let\pi\piup \let\rho\rhoup \let\sigma\sigmaup \let\tau\tauup \let\upsilon\upsilonup \let\phi\phiup \let\chi\chiup \let\psi\psiup \let\omega\omegaup \let\varepsilon\varepsilonup \let\vartheta\varthetaup \let\varpi\varpiup \let\varrho\varrhoup \let\varsigma\varsigmaup \let\varphi\varphiup \let\varkappa\varkappaup \DeclareMathSymbol{A}{\mathalpha}{operators}{65} \DeclareMathSymbol{B}{\mathalpha}{operators}{66} \DeclareMathSymbol{C}{\mathalpha}{operators}{67} \DeclareMathSymbol{D}{\mathalpha}{operators}{68} \DeclareMathSymbol{E}{\mathalpha}{operators}{69} \DeclareMathSymbol{F}{\mathalpha}{operators}{70} \DeclareMathSymbol{G}{\mathalpha}{operators}{71} \DeclareMathSymbol{H}{\mathalpha}{operators}{72} \DeclareMathSymbol{I}{\mathalpha}{operators}{73} \DeclareMathSymbol{J}{\mathalpha}{operators}{74} \DeclareMathSymbol{K}{\mathalpha}{operators}{75} \DeclareMathSymbol{L}{\mathalpha}{operators}{76} \DeclareMathSymbol{M}{\mathalpha}{operators}{77} \DeclareMathSymbol{N}{\mathalpha}{operators}{78} \DeclareMathSymbol{O}{\mathalpha}{operators}{79} \DeclareMathSymbol{P}{\mathalpha}{operators}{80} \DeclareMathSymbol{Q}{\mathalpha}{operators}{81} \DeclareMathSymbol{R}{\mathalpha}{operators}{82} \DeclareMathSymbol{S}{\mathalpha}{operators}{83} \DeclareMathSymbol{T}{\mathalpha}{operators}{84} \DeclareMathSymbol{U}{\mathalpha}{operators}{85} \DeclareMathSymbol{V}{\mathalpha}{operators}{86} \DeclareMathSymbol{W}{\mathalpha}{operators}{87} \DeclareMathSymbol{X}{\mathalpha}{operators}{88} \DeclareMathSymbol{Y}{\mathalpha}{operators}{89} \DeclareMathSymbol{Z}{\mathalpha}{operators}{90} \fi \re@DeclareMathSymbol{\varg}{\mathord}{lettersA}{49} \DeclareMathSymbol{\uppartial}{\mathord}{lettersA}{64} \def\npx@UC{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z} \def\npx@lc{a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z} \def\npx@num{0,1,2,3,4,5,6,7,8,9} %\@for\npx@x:=\npx@UC\do{\edef\npx@tmp{\edef\csname %\DeclareMathSymbol{\m@thbbch@rA}{\mathord}{lettersA}{129} \DeclareMathSymbol{\m@thbbch@rA}{\mathord}{lettersA}{129} \DeclareMathSymbol{\m@thbbch@rB}{\mathord}{lettersA}{130} \DeclareMathSymbol{\m@thbbch@rC}{\mathord}{lettersA}{131} \DeclareMathSymbol{\m@thbbch@rD}{\mathord}{lettersA}{132} \DeclareMathSymbol{\m@thbbch@rE}{\mathord}{lettersA}{133} \DeclareMathSymbol{\m@thbbch@rF}{\mathord}{lettersA}{134} \DeclareMathSymbol{\m@thbbch@rG}{\mathord}{lettersA}{135} \DeclareMathSymbol{\m@thbbch@rH}{\mathord}{lettersA}{136} \DeclareMathSymbol{\m@thbbch@rI}{\mathord}{lettersA}{137} \DeclareMathSymbol{\m@thbbch@rJ}{\mathord}{lettersA}{138} \DeclareMathSymbol{\m@thbbch@rK}{\mathord}{lettersA}{139} \DeclareMathSymbol{\m@thbbch@rL}{\mathord}{lettersA}{140} \DeclareMathSymbol{\m@thbbch@rM}{\mathord}{lettersA}{141} \DeclareMathSymbol{\m@thbbch@rN}{\mathord}{lettersA}{142} \DeclareMathSymbol{\m@thbbch@rO}{\mathord}{lettersA}{143} \DeclareMathSymbol{\m@thbbch@rP}{\mathord}{lettersA}{144} \DeclareMathSymbol{\m@thbbch@rQ}{\mathord}{lettersA}{145} \DeclareMathSymbol{\m@thbbch@rR}{\mathord}{lettersA}{146} \DeclareMathSymbol{\m@thbbch@rS}{\mathord}{lettersA}{147} \DeclareMathSymbol{\m@thbbch@rT}{\mathord}{lettersA}{148} \DeclareMathSymbol{\m@thbbch@rU}{\mathord}{lettersA}{149} \DeclareMathSymbol{\m@thbbch@rV}{\mathord}{lettersA}{150} \DeclareMathSymbol{\m@thbbch@rW}{\mathord}{lettersA}{151} \DeclareMathSymbol{\m@thbbch@rX}{\mathord}{lettersA}{152} \DeclareMathSymbol{\m@thbbch@rY}{\mathord}{lettersA}{153} \DeclareMathSymbol{\m@thbbch@rZ}{\mathord}{lettersA}{154} \DeclareMathSymbol{\m@thbbch@rk}{\mathord}{lettersA}{171} % Original \varmathbb macro, slightly polished \def\DoFutureLet{% \def\@FutureLetDecide{% \ifx\@nil\@FutureLetToken \def\@FutureLetNext{\@EachCharacterDone} \else \def\@FutureLetNext{\@PickUpTheCharacter} \fi \@FutureLetNext }% \futurelet\@FutureLetToken\@FutureLetDecide}% end DoFutureLet %\def\m@keCharacter#1{% % \@tempcnta=`#1\relax \advance\@tempcnta "40\relax % \edef\npx@char{\npx@lettersA\nhex{2}{\the\@tempcnta}} % \expandafter\mathchar\npx@char} %\def\@PickUpTheCharacter#1{\m@keCharacter{#1}\DoFutureLet} %\def\@EachCharacterDone \@nil{}% cleanup---get rid of \@nil %\newif\ifnpx@notnil %\def\@EachCharacter{% % \DoFutureLet{\@EachCharacterDone}{\@PickUpTheCharacter}} % \def\m@keCharacter#1{\csname\F@ntPrefix#1\endcsname} \def\@PickUpTheCharacter#1{\m@keCharacter{#1}\DoFutureLet} \def\@EachCharacterDone \@nil{} % %\DeclareRobustCommand*{\varmathbb}[1]{\gdef\F@ntPrefix{m@thbbch@r}% % \@EachCharacter #1\@nil} \DeclareRobustCommand*{\varmathbb}[1]{\gdef\F@ntPrefix{m@thbbch@r}% \DoFutureLet #1\@nil} % Additional macros to access process a single character only, work with \bm \def\npx@char{} \DeclareRobustCommand*{\vmathbb}[1]{% for original variant bb \@tempcnta=`#1\relax \advance\@tempcnta "40\relax \edef\npx@char{"\hexnumber@\symlettersA\nhex{2}{\the\@tempcnta}} \expandafter\mathchar\npx@char } \DeclareRobustCommand*{\vvmathbb}[1]{% for new (STIX) variant \@tempcnta=`#1\relax \advance\@tempcnta "80\relax \edef\npx@char{"\hexnumber@\symlettersA\nhex{2}{\the\@tempcnta}} \expandafter\mathchar\npx@char } %\DeclareRobustCommand*{\vvmathbbb}[1]{% for new (STIX) variant % \@tempcnta=`#1\relax \advance\@tempcnta "80\relax % \edef\npx@char{"\hexnumber@\symboldlettersA\nhex{2}{\the\@tempcnta}} % \expandafter\mathchar\npx@char %} \ifpx@vvarbb \let\mathbb\vvmathbb \else \ifpx@varbb \let\mathbb\varmathbb \else \ifpx@ams\else\let\mathbb\varmathbb\fi \fi \fi %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Extension (npxex) Definition % largesymbols %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Extension A (npxexa) Definition % largesymbolsPXA %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \re@DeclareMathSymbol{\bignplus}{\mathop}{largesymbolsPXA}{0} \re@DeclareMathSymbol{\bigsqcupplus}{\mathop}{largesymbolsPXA}{2} \re@DeclareMathSymbol{\bigsqcapplus}{\mathop}{largesymbolsPXA}{4} \re@DeclareMathSymbol{\bigsqcap}{\mathop}{largesymbolsPXA}{6} \re@DeclareMathSymbol{\varprod}{\mathop}{largesymbolsPXA}{16} %\re@DeclareMathDelimiter{\llbracket}{\mathopen}{symbolsC}{126}{largesymbolsPXA}{18} %\re@DeclareMathDelimiter{\rrbracket}{\mathclose}{symbolsC}{127}{largesymbolsPXA}{19} \re@DeclareMathSymbol{\br@cext}{\mathord}{largesymbolsPXA}{32} % \ifpx@cmint % added 2012-04-16 \re@DeclareMathSymbol{\ointop}{\mathop}{largesymbolsPXA}{84} \re@DeclareMathSymbol{\intop}{\mathop}{largesymbolsPXA}{86} % \ifx\AmSfont\@undefined % \def\oint{\ointop\nolimits} % \def\int{\intop\nolimits} % \fi \else % use px integrals % \ifx\AmSfont\@undefined\else % % The following are needed if amsmath has been loaded % \let\iint\relax % \let\iiint\relax % \let\iiiint\relax % \let\idotsint\relax % \fi \re@DeclareMathSymbol{\oiintop}{\mathop}{largesymbolsPXA}{8} \def\oiint{\oiintop\ilimits@} \re@DeclareMathSymbol{\ointctrclockwiseop}{\mathop}{largesymbolsPXA}{10} \def\ointctrclockwise{\ointctrclockwiseop\ilimits@} \re@DeclareMathSymbol{\ointclockwiseop}{\mathop}{largesymbolsPXA}{12} \def\ointclockwise{\ointclockwiseop\ilimits@} \re@DeclareMathSymbol{\sqintop}{\mathop}{largesymbolsPXA}{14} \def\sqint{\sqintop\ilimits@} \re@DeclareMathSymbol{\iintop}{\mathop}{largesymbolsPXA}{33} \def\iint{\iintop\ilimits@} \re@DeclareMathSymbol{\iiintop}{\mathop}{largesymbolsPXA}{35} \def\iiint{\iiintop\ilimits@} \re@DeclareMathSymbol{\iiiintop}{\mathop}{largesymbolsPXA}{37} \def\iiiint{\iiiintop\ilimits@} \re@DeclareMathSymbol{\idotsintop}{\mathop}{largesymbolsPXA}{39} \def\idotsint{\idotsintop\ilimits@} \re@DeclareMathSymbol{\oiiintop}{\mathop}{largesymbolsPXA}{41} \def\oiiint{\oiiintop\ilimits@} \re@DeclareMathSymbol{\varointctrclockwiseop}{\mathop}{largesymbolsPXA}{43} \def\varointctrclockwise{\varointctrclockwiseop\ilimits@} \re@DeclareMathSymbol{\varointclockwiseop}{\mathop}{largesymbolsPXA}{45} \def\varointclockwise{\varointclockwiseop\ilimits@} \re@DeclareMathSymbol{\fintop}{\mathop}{largesymbolsPXA}{62} \def\fint{\fintop\ilimits@} \re@DeclareMathSymbol{\oiintctrclockwiseop}{\mathop}{largesymbolsPXA}{64} \def\oiintctrclockwise{\oiintctrclockwiseop\ilimits@} \re@DeclareMathSymbol{\varoiintclockwiseop}{\mathop}{largesymbolsPXA}{66} \def\varoiintclockwise{\varoiintclockwiseop\ilimits@} \re@DeclareMathSymbol{\oiiintctrclockwiseop}{\mathop}{largesymbolsPXA}{68} \def\oiiintctrclockwise{\oiiintctrclockwiseop\ilimits@} \re@DeclareMathSymbol{\varoiiintclockwiseop}{\mathop}{largesymbolsPXA}{70} \def\varoiiintclockwise{\varoiiintclockwiseop\ilimits@} \re@DeclareMathSymbol{\oiintclockwiseop}{\mathop}{largesymbolsPXA}{72} \def\oiintclockwise{\oiintclockwiseop\ilimits@} \re@DeclareMathSymbol{\varoiintctrclockwiseop}{\mathop}{largesymbolsPXA}{74} \def\varoiintctrclockwise{\varoiintctrclockwiseop\ilimits@} \re@DeclareMathSymbol{\oiiintclockwiseop}{\mathop}{largesymbolsPXA}{76} \def\oiiintclockwise{\oiiintclockwiseop\ilimits@} \re@DeclareMathSymbol{\varoiiintctrclockwiseop}{\mathop}{largesymbolsPXA}{78} \def\varoiiintctrclockwise{\varoiiintctrclockwiseop\ilimits@} \re@DeclareMathSymbol{\sqiintop}{\mathop}{largesymbolsPXA}{80} \def\sqiint{\sqiintop\ilimits@} \re@DeclareMathSymbol{\sqiiintop}{\mathop}{largesymbolsPXA}{82} \def\sqiiint{\sqiiintop\ilimits@} \fi %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Common Macros %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%% Use math italic, not text, version of dot, in \vdots and \ddots definitions \def\vdots{\vbox{\baselineskip4\p@ \lineskiplimit\z@ \kern6\p@\hbox{$\m@th.$}\hbox{$\m@th.$}\hbox{$\m@th.$}}} \def\ddots{\mathinner{\mkern1mu\raise7\p@ \vbox{\kern7\p@\hbox{$\m@th.$}}\mkern2mu \raise4\p@\hbox{$\m@th.$}\mkern2mu\raise\p@\hbox{$\m@th.$}\mkern1mu}} %%% \sqrt redefined %\let\sqrt=\undefined %\DeclareRobustCommand\sqrt{\@ifnextchar[\@sqrt{\mathpalette\@x@sqrt}} %\def\@x@sqrt#1#2{% % \setbox\z@\hbox{$\m@th#1\sqrtsign{\mkern1mu #2}$} % \mkern3mu\box\z@} %\ifx\@@undefined\@amsmath@err % \def\r@@t#1#2{% from latex.ltx % \setbox\z@\hbox{$\m@th#1\sqrtsign{\mkern1mu #2}$}% % \dimen@\ht\z@ \advance\dimen@-\dp\z@ %% \mkern5mu\raise.6\dimen@\copy\rootbox % \mkern6mu\raise.68\dimen@\copy\rootbox %% \mkern-10mu\box\z@} % \mkern-9mu\box\z@} %\else % \def\r@@t#1#2{\setboxz@h{$\m@th#1\sqrtsign{\mkern1mu #2}$}% from amsmath.sty % \dimen@\ht\z@\advance\dimen@-\dp\z@ % \setbox\@ne\hbox{$\m@th#1\mskip\uproot@ mu$}% % \advance\dimen@ by1.667\wd\@ne %% \mkern-\leftroot@ mu\mkern5mu\raise.6\dimen@\copy\rootbox % \mkern-\leftroot@ mu\mkern6mu\raise.68\dimen@\copy\rootbox %% \mkern-10mu\mkern\leftroot@ mu\boxz@} % \mkern-9mu\mkern\leftroot@ mu\boxz@} %\fi %%% For \underbrace and \overbrace: %%% use brace extension bar (in "20 of npxexa) instead of vrule %\re@DeclareMathSymbol{\br@cext}{\mathord}{largesymbolsPXA}{32} \re@DeclareMathSymbol{\br@cext}{\mathord}{largesymbols}{168} % \def\downbracefill{$\m@th% \braceld\mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu% \braceru\bracelu% \mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu\bracerd$} \def\upbracefill{$\m@th% \bracelu\mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu% \bracerd\braceld% \mkern-1mu\cleaders\hbox{$\mkern-.5mu\br@cext\mkern-.5mu$}\hfill\mkern-1mu\braceru$} %%% \not redefined: %%% \not= becomes \ne %%% \not< becomes \nless %%% \not> becomes \ngtr %%% if \notXXX is defined, \not\XXX becomes \notXXX; %%% if \nXXX is defined, \not\XXX becomes \nXXX; %%% otherwise, \not\XXX is done in the usual way. \DeclareMathSymbol{\n@tch@r}{\mathrel}{symbols}{54} \DeclareRobustCommand*{\not}[1]{% \ifx #1=\ne\else \ifx #1<\nless\else \ifx #1>\ngtr\else \n@t@@n{#1}\fi\fi\fi} \def\n@t@@n#1{% \begingroup \escapechar\m@ne\xdef\@gtempa{not\string#1}\endgroup% \expandafter\@ifundefined{\@gtempa}% {\not@n@{#1}}% {\@nameuse{\@gtempa}}} \def\not@n@#1{% \begingroup \escapechar\m@ne\xdef\@gtempa{n\string#1}\endgroup% \expandafter\@ifundefined{\@gtempa}% {\n@tch@r #1}% {\@nameuse{\@gtempa}}} %%% %%% for AMS classes %%% \chardef\newpxmath@openbox 131 % was 3 in npxsya \DeclareRobustCommand{\textsquare}{\begingroup \usefont{U}{npxsym}{m}{n}\newpxmath@openbox\endgroup} \DeclareRobustCommand{\openbox}{} % the spaces below after openbox and textsquare should not be removed \expandafter\let\csname openbox \expandafter\endcsname \csname textsquare \endcsname %\DeclareRobustCommand{\textsquare}{\begingroup \usefont{U}{npxsya}{m}{n}\thr@@\endgroup} %\DeclareRobustCommand{\openbox}{\begingroup \usefont{U}{npxsya}{m}{n}\thr@@\endgroup} \def\defaultscriptratio{.73} % default is .7 \def\defaultscriptscriptratio{.55} % default is .5 \DeclareMathSizes{5} {5.5} {5.5} {5.5} \DeclareMathSizes{6} {6.5} {5.5} {5.5} \DeclareMathSizes{7} {7.3} {5.5} {5.5} \DeclareMathSizes{8} {8} {6.2} {5.5} \DeclareMathSizes{9} {9} {7.3} {5.5} \DeclareMathSizes{10} {10} {7.3} {5.5} \DeclareMathSizes{10.95}{10.95}{8} {6.1} \DeclareMathSizes{11} {10.95}{8} {6.1} \DeclareMathSizes{12} {12} {8.8} {6.6} \DeclareMathSizes{14.4} {14.4} {10.5} {7.9} \DeclareMathSizes{17.28}{17.28}{12.5} {9.4} \DeclareMathSizes{20.74}{20.74}{16.1} {11.4} \DeclareMathSizes{24.88}{24.88}{18.2}{13.7} \def\pxf@ntname#1{\expandafter\let\expandafter\@npx@\csname sym#1\endcsname \ifx\@npx@\relax % \else \expandafter\def\csname @@@X\number\@npx@ \endcsname{#1} \fi} \newcommand{\ShowMathFonts}{% \pxf@ntname{operators} \pxf@ntname{boldoperators} \pxf@ntname{symbols} \pxf@ntname{boldsymbols} \pxf@ntname{largesymbols} \pxf@ntname{boldlargesymbols} \pxf@ntname{AMSa} \pxf@ntname{boldAMSa} \pxf@ntname{AMSb} \pxf@ntname{boldAMSb} \pxf@ntname{letters} \pxf@ntname{boldletters} \pxf@ntname{lettersA} \pxf@ntname{boldlettersA} \pxf@ntname{symbolsC} \pxf@ntname{boldsymbolsC} \pxf@ntname{largesymbolsPXA} \pxf@ntname{boldlargesymbolsPXA} \typeout{*** Mathgroups ***} \count@\z@ \loop\ifnum\count@<16 \def\@@npx@{} \expandafter\let\expandafter\@npx@\csname @@@X\the\count@\endcsname \ifx\@npx@\relax\else\def\@@npx@{\space[\@npx@]}\fi \typeout{(\the\count@: \the\textfont\count@ = \fontname\textfont\count@\@@npx@)} \advance\count@\@ne \repeat \typeout{***}} \endinput