\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 % The original pxfonts math fonts have been replaced by virtual fonts which % render less tightly so that there are many fewer instances % of glyph collisions.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{1.533} \def\filedate{2023/11/08} \ProvidesPackage{newpxmath} [\filedate\space v\fileversion] \message{`newpxmath' v\fileversion, \filedate\space Math macros based on pxfonts (msharpe)} %\csname newpxmathLoaded\endcsname %\let\newpxmathLoaded\endinput \RequirePackage{amsmath} % for better \left \RequirePackage{etoolbox} %\RequirePackage{etextools} % for \ifiscs, conflicts with biblatex % replacement for \ifiscs \def\ifiscseq#1{\ifcat$\expandafter\@gobble\string#1$\expandafter\@secondoftwo\else\expandafter\@firstoftwo\fi}%\def\ly@one{LY1} \def\t@one{T1} \def\ot@one{OT1} \input{binhex} \RequirePackage{xkeyval} \RequirePackage{centernot} % for proper handling of negated relations \newif\ifpx@sbc %\newif\ifpx@spc \newif\ifpx@nootone % do not switch to OT1 for operators %\newcommand\enablesbcorrection{\px@sbctrue\AtBeginDocument{\mathcode`\_=\string"8000 \catcode`\_=12\relax}} %\newcommand\disablesbcorrection{\px@sbcfalse\catcode`\_=8\relax} %\newcommand\enablespcorrection{\px@spctrue\AtBeginDocument{\mathcode`\^=\string"8000 \catcode`\^=12\relax}} %\newcommand\disablespcorrection{\px@spcfalse\catcode`\^=7\relax} %\@onlypreamble\enablesbcorrection %\@onlypreamble\disablesbcorrection %\@onlypreamble\enablespcorrection %\@onlypreamble\disablespcorrection % Should test for which math italic font and customize these numbers. \def\px@sb@dflt{% default subscript kerns, usually negative \if\px@next f\mkern-2.5mu\else \if\px@next j\mkern-1.5mu\else \if\px@next p\mkern-1 mu\else \if\px@next y\mkern-1 mu\else \if\px@next A\mkern-1.5mu\else \if\px@next B\mkern-1 mu\else \if\px@next D\mkern-1 mu\else \if\px@next H\mkern-1 mu\else \if\px@next I\mkern-1 mu\else \if\px@next K\mkern-1 mu\else \if\px@next L\mkern-1 mu\else \if\px@next M\mkern-1 mu\else \if\px@next N\mkern-0.5mu\else \if\px@next P\mkern-1 mu\else \if\px@next X\mkern-1 mu\else \ifx\px@next \rho\mkern-1.5mu\else \ifx\px@next \mu\mkern-1 mu\else \fi \fi \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi} %\def\px@sp@dflt{% default superscript kerns, usually positive % \if\px@next f\mkern 2 mu\else % \if\px@next j\mkern 2 mu\else % \if\px@next p\mkern1 mu\else % \if\px@next y\mkern 2 mu\else % \if\px@next \rho\mkern 2 mu\else % \if\px@next \mu\mkern 2 mu\else % \fi % \fi % \fi% % \fi% % \fi% % \fi} %\traceon \newtoks\px@tA % accumulate \if\next \newtoks\px@tB % accumulate \fi \newcommand*{\loadsubfile}[1]{\readsufile{#1}%creates toks px@tA. px@tB \px@tA\expandafter{\the\expandafter\px@tA\the\px@tB} \expandafter\def\expandafter\px@sb\expandafter{\the\px@tA}} %\enablesbcorrection} %\newcommand*{\loadsupfile}[1]{\readsufile{#1}%creates toks px@tA. px@tB %\def\px@sp{\the\px@tA \the\px@tB}\enablespcorrection} \def\px@subs{newpx-subs.tex} % default name of subscript kerns file \newread\px@su \def\readsufile#1{% \px@tA={} \px@tB={} \openin\px@su=#1 \loop\unless\ifeof\px@su \read\px@su to \px@line \if\px@line\par\else \expandafter\px@addrec\px@line \fi \repeat } %\def\px@Prepend#1(to:)#2{\toks0={#1}% % \edef\px@act{\noexpand#2={\the\toks0 \the#2}}% % \px@act} %\def\px@Append#1(to:)#2{\toks0={#1}% % \edef\px@act{\noexpand#2={\the#2 \the\toks0}}% % \px@act} %\def\px@AppendToks#1(to:)#2{% % \edef\px@act{\noexpand#2={\the#2 \the#1}}% % \px@act} \def\px@addrec#1#2{% \ifiscseq{#1}{\px@tA\expandafter{\the\px@tA\ifx}}{\px@tA\expandafter{\the\px@tA\if}} \px@tA\expandafter{\the\px@tA\px@next #1\mkern #2 mu\else} \px@tB\expandafter{\the\px@tB\fi}} %px@AppendToks\toks0(to:)\px@tA \px@AppendToks\fi(to:)\px@tB} %\let\npxmath@scaled\@empty \define@key{npxmath}{scale}[1.0]{\def\npxmath@scaled{#1}} \define@key{npxmath}{scaled}[1.0]{\def\npxmath@scaled{#1}} \def\npxmath@vecsep{.25ex} \define@key{npxmath}{vecsep}[.25ex]{\def\npxmath@vecsep{#1}} \DeclareOption*{% \begingroup \edef\x{\endgroup \noexpand\setkeys{npxmath}{\CurrentOption}}% \x} \DeclareOption{varg}{\def\X@s@v@rg{}} \newif\ifpx@upint %default is sloped \newif\ifpx@smops %default is large binary operators \newcount\px@Isdigit \newif\ifpx@ams \newif\ifpx@slantedG \newif\ifpx@cmint \newif\ifpx@braces \newif\ifpx@upscr \newif\ifpx@curlybraces \newif\ifpx@varbb \newif\ifpx@vvarbb \newif\ifpx@symbolsC \newif\ifpx@bigdelims \newif\ifpx@frenchm % french math \px@symbolsCtrue \DeclareOption{subscriptcorrectionfile}{\def\px@subs{#1}} \DeclareOption{nosubscriptcorrection}{\px@sbcfalse} \DeclareOption{subscriptcorrection}{\px@sbctrue} \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{curlybraces}{\px@curlybracestrue} \DeclareOption{noamssymbols}{\px@amsfalse} \DeclareOption{amssymbols}{\px@amstrue} \DeclareOption{uprightscript}{\px@upscrtrue} \DeclareOption{uprightGreek}{\px@slantedGfalse} \DeclareOption{slantedGreek}{\px@slantedGtrue} \DeclareOption{frenchmath}{\px@frenchmtrue} \DeclareOption{upint}{\px@upinttrue} \DeclareOption{smallerops}{\px@smopstrue} \DeclareOption{noOT1}{\px@nootonetrue} \newif\ifpx@amsthm \DeclareOption{amsthm}{\px@amsthmtrue} \DeclareOption{fracspacing}{% \def\setSYdimens{% \fontdimen 8\font=0.789\fontdimen6\font % was 0.677 of a quad \fontdimen11\font=0.798\fontdimen6\font % was 0.686 of a quad }} \ExecuteOptions{% amssymbols,uprightGreek} \ProcessOptions* \ifpx@amsthm \RequirePackage{amsthm} \typeout{amsthm loaded} \else \typeout{amsthm NOT loaded} \fi % Check if xy is loaded \AtEndPreamble{% \ifpx@sbc \expandafter\ifx\csname xyversion\endcsname\relax \else \PackageError{newpxmath}{xy package is not compatible with the subscriptcorrection macros}{Either remove xy or disable subscriptcorrection} \fi % ifx \IfFileExists{\px@subs}{\loadsubfile{\px@subs}}% {\def\px@sb{\px@sb@dflt}\message{File \px@subs\space not found. Using basic defaults for subscript correction.^^J}} \fi } % frenchmath implies uprightGreek \ifpx@frenchm\px@slantedGfalse\fi %bigdelims cancels cmbraces \ifpx@bigdelims\px@bracesfalse\fi % Use existing text fonts for mathrm, etc but newpxtext for operators %\DeclareSymbolFont{operators}{OT1}{zpltlf}{m}{n} %\SetSymbolFont{operators}{bold}{OT1}{zpltlf}{b}{n} % was formerly existing text fonts for operators \let\px@enc\encodingdefault %: \ifpx@nootone\else \let\px@enc\ot@one\fi \DeclareSymbolFont{operators}{\px@enc}{\rmdefault}{m}{n} \SetSymbolFont{operators}{bold}{\px@enc}{\rmdefault}{b}{n} \def\operator@font{\mathgroup\symoperators} \DeclareMathAlphabet{\mathsf}{\encodingdefault}{\sfdefault}{m}{n} \DeclareMathAlphabet{\mathit}{\px@enc}{\rmdefault}{m}{it} \DeclareMathAlphabet{\mathtt}{\encodingdefault}{\ttdefault}{m}{n} \DeclareSymbolFontAlphabet{\mathrm}{operators} \DeclareMathAlphabet{\mathbf}{\px@enc}{\rmdefault}{b}{n} \SetMathAlphabet{\mathit}{bold}{\px@enc}{\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} %\ifpx@upscr % \DeclareRobustCommand{\mathscr}[1]{\npx@alfa{#1}{196}{222}{248}{249}{}{letters}} %\DeclareMathSymbol{\imathscr}{\mathord}{letters}{248} %\DeclareMathSymbol{\jmathscr}{\mathord}{letters}{249} % %\else % \DeclareRobustCommand{\mathscr}[1]{\npx@alfa{#1}{142}{168}{194}{195}{}{letters}} %\DeclareMathSymbol{\imathscr}{\mathord}{letters}{194} %\DeclareMathSymbol{\jmathscr}{\mathord}{letters}{195} %\fi %%%%%%%%%%%%%%%%% % 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 % %%%%%%%%%%%%%%% \DeclareFontEncoding{LMS}{}{} \DeclareFontSubstitution{LMS}{npxsy}{m}{n} \DeclareSymbolFont{symbols}{LMS}{npxsy}{m}{n} \SetSymbolFont{symbols}{bold}{LMS}{npxsy}{b}{n} \DeclareSymbolFontAlphabet{\symb@ls@lph@}{symbols} \ifx\AmSfont\@undefined\else \renewcommand{\AmS}{{\protect\AmSfont A\kern-.19em\lower.5ex\hbox{M}\kern-.025emS}} \renewcommand{\AmSfont}{% \usefont{LMS}{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} %%%%%%%%%%%%%%%%%%%% % 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\re@DeclareMathRadical#1#2#3#4{% \let#1=\undefined \DeclareMathRadical{#1}{#2}{#3}{#4}} \def\DeclareMathSymbolCtr#1#2#3#4{% \DeclareMathSymbol{#1}{#2}{#3}{#4} \advance #4 by1} \DeclareRobustCommand{\BI@}[1]{% \begingroup\text{\mathversion{bold}$#1$}\endgroup} %\DeclareRobustCommand{\BIA}{\BI@{A}} % etc \newcount\px@cntz \newcount\px@IsAlNum \def\px@isdigit#1{% #1 should be a single character \px@Isdigit=\z@ % \px@cntz=\number`#1\relax% \ifnum\px@cntz>47\relax% \ifnum\px@cntz<58\relax% \px@Isdigit=\@ne % \fi% \fi% } \def\px@isAlNum#1{% #1 should be a single character \px@IsAlNum=\z@ % \px@cntz=\number`#1\relax% \ifnum\px@cntz>47\relax% \ifnum\px@cntz<58\relax% \px@IsAlNum=\@ne % \else \ifnum\px@cntz>64\relax% \ifnum\px@cntz<91\relax% \px@IsAlNum=\tw@ % \else \ifnum\px@cntz>96\relax% \ifnum\px@cntz<123\relax% \px@IsAlNum=3\relax % \fi \fi \fi \fi \fi \fi } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Subscript correction code %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newtoks\px@sbptoks % next 2 macros borrowed from TeX by Topic \def\px@Pop#1(into:)#2{% \edef\px@act{\noexpand\px@SplitOff\the#1% (tx@head:)\noexpand#2(tx@tail:)\noexpand#1}% \px@act} \def\px@SplitOff#1#2(tx@head:)#3(tx@tail:)#4{\def#3{\noexpand #1}#4={#2}} \ifpx@sbc \AtBeginDocument{\mathcode`\_=\string"8000 \catcode`\_=12\relax} \begingroup \catcode`\_=13 % active \gdef_{\expandafter\s@@b@} \endgroup % %\def\s@@b{\expandafter\s@@b@} \def\s@@b@#1{\def\px@next@{#1}% \px@sbptoks={#1}% \px@Pop\px@sbptoks(into:)\px@next% px@next first non-blank token \sb{\px@sb \px@next@}} \fi %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Superscript correction code %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\begingroup % \catcode`\^=13 % active % \gdef^{\s@@p} %\endgroup %\def\s@@p{\ifpx@spc\expandafter\s@@p@\else\expandafter\sp\fi} %\def\s@@p@#1{\def\px@next@{#1}% %\px@sbptoks={#1}% %\px@Pop\px@sbptoks(into:)\px@next% first token %\sp{\px@sp \px@next@}} %\def\px@sp{\px@sp@dflt} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % 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}} \def\mathsterling{\mbox{\textsterling}} %doesn't respect \boldmath \def\mathcent{\mbox{\textcent}} %doesn't respect \boldmath %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 \re@DeclareMathDelimiter{\lgroup}{\mathopen}{largesymbols}{58}{largesymbols}{58} \re@DeclareMathDelimiter{\rgroup}{\mathclose}{largesymbols}{59}{largesymbols}{59} \re@DeclareMathDelimiter{\lmoustache}{\mathopen}{largesymbols}{64}{largesymbols}{64} \re@DeclareMathDelimiter{\rmoustache}{\mathclose}{largesymbols}{65}{largesymbols}{65} \DeclareMathDelimiter{/}{\mathopen}{symbols}{157}{largesymbols}{14} \DeclareMathDelimiter{(}{\mathopen}{symbols}{185}{largesymbols}{0} \DeclareMathDelimiter{)}{\mathclose}{symbols}{186}{largesymbols}{1} \DeclareMathDelimiter{[}{\mathopen}{symbols}{187}{largesymbols}{2} \DeclareMathDelimiter{]}{\mathclose}{symbols}{188}{largesymbols}{3} \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} \ifpx@curlybraces \DeclareMathDelimiter{\lbrace}{\mathopen}{symbols}{215}{largesymbols}{142} \DeclareMathDelimiter{\rbrace}{\mathclose}{symbols}{216}{largesymbols}{143} \else \DeclareMathDelimiter{\lbrace}{\mathopen}{symbols}{102}{largesymbols}{8} \DeclareMathDelimiter{\rbrace}{\mathclose}{symbols}{103}{largesymbols}{9} \fi \DeclareMathDelimiter{\langle}{\mathopen}{symbols}{104}{largesymbols}{10} %\DeclareMathDelimiter{<}{\mathopen}{letters}{60}{largesymbols}{140} \DeclareMathDelimiter{\rangle}{\mathclose}{symbols}{105}{largesymbols}{11} %\DeclareMathDelimiter{>}{\mathclose}{letters}{62}{largesymbols}{141} \re@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} \re@DeclareMathDelimiter{\Vert}{\mathord}{symbols}{107}{largesymbols}{13} \let\|=\Vert \re@DeclareMathDelimiter{\updownarrow}{\mathrel}{symbols}{108}{largesymbols}{63} \re@DeclareMathDelimiter{\Updownarrow}{\mathrel}{symbols}{109}{largesymbols}{119} \re@DeclareMathDelimiter{\llbracket}{\mathopen}{symbols}{201}{largesymbolsPXA}{18} \let\lBrack=\llbracket \re@DeclareMathDelimiter{\rrbracket}{\mathclose}{symbols}{202}{largesymbolsPXA}{19} \let\rBrack=\rrbracket \re@DeclareMathDelimiter{\lvert} {\mathopen} {symbols}{106}{largesymbols}{12} \re@DeclareMathDelimiter{\rvert} {\mathclose} {symbols}{106}{largesymbols}{12} \re@DeclareMathDelimiter{\lVert} {\mathopen} {symbols}{107}{largesymbols}{13} \re@DeclareMathDelimiter{\rVert} {\mathclose} {symbols}{107}{largesymbols}{13} %\fi \re@DeclareMathDelimiter{\smlbrace}{\mathopen}{lettersA}{62}{largesymbols}{8} \re@DeclareMathDelimiter{\smrbrace}{\mathclose}{lettersA}{63}{largesymbols}{9} \re@DeclareMathSymbol{\Perp}{\mathrel}{symbols}{205} % was symbolsC \re@DeclareMathSymbol{\nPerp}{\mathrel}{symbols}{206} % was symbolsC \DeclareMathSymbol{+}{\mathbin}{symbols}{207} %\DeclareMathDelimiter{/}{\mathord}{operators}{47}{largesymbols}{14} %\DeclareMathSymbol{:}{\mathrel}{operators}{58} %\DeclareMathSymbol{\colon}{\mathpunct}{operators}{58} %\DeclareMathSymbol{;}{\mathpunct}{operators}{59} \DeclareMathSymbol{=}{\mathrel}{lettersA}{61} % was 53 \re@DeclareMathSymbol{\hslash}{\mathord}{lettersA}{91} \re@DeclareMathSymbol{\hbar}{\mathord}{lettersA}{92} \DeclareMathSymbol{\lambdabar}{\mathord}{lettersA}{93} \DeclareMathSymbol{\Zbar}{\mathord}{lettersA}{94} \DeclareMathSymbol{\Angstrom}{\mathord}{lettersA}{95} \DeclareMathSymbol{\Euler}{\mathord}{lettersA}{96} \DeclareMathSymbol{\lambdaslash}{\mathord}{lettersA}{251} %\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} \re@DeclareMathAccent{\grave}{\mathaord}{symbols}{158} \re@DeclareMathAccent{\acute}{\mathord}{symbols}{159} \re@DeclareMathAccent{\hat}{\mathord}{symbols}{160} \re@DeclareMathAccent{\tilde}{\mathord}{symbols}{161} \re@DeclareMathAccent{\bar}{\mathord}{symbols}{162} \re@DeclareMathAccent{\breve}{\mathord}{symbols}{163} \re@DeclareMathAccent{\mathring}{\mathord}{symbols}{166} \re@DeclareMathAccent{\check}{\mathord}{symbols}{167} \DeclareMathSymbol{\transp}{\mathord}{symbols}{203} \DeclareMathSymbol{\hermtransp}{\mathord}{symbols}{204} \let\htransp=\hermtransp \re@DeclareMathAccent{\dot}{\mathaord}{symbols}{164} \re@DeclareMathAccent{\ddot}{\mathord}{symbols}{165} \re@DeclareMathAccent{\dddot}{\mathord}{symbols}{168} \re@DeclareMathAccent{\ddddot}{\mathord}{symbols}{200} %\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{\laplace}{\mathord}{symbols}{217} \DeclareMathSymbol{\laplac}{\mathord}{symbols}{218} \DeclareMathSymbol{\dAlembertian}{\mathord}{symbols}{219} %\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}{largesymbolsPXA}{78} \DeclareMathSymbol{\grouprd}{\mathord}{largesymbolsPXA}{79} \DeclareMathSymbol{\grouplu}{\mathord}{largesymbolsPXA}{80} \DeclareMathSymbol{\groupru}{\mathord}{largesymbolsPXA}{81} \DeclareMathSymbol{\grouplda}{\mathord}{largesymbolsPXA}{82} \DeclareMathSymbol{\grouprda}{\mathord}{largesymbolsPXA}{83} \DeclareMathSymbol{\grouplua}{\mathord}{largesymbolsPXA}{84} \DeclareMathSymbol{\grouprua}{\mathord}{largesymbolsPXA}{85} % Override default definitions of \widehat and \widetilde %\re@DeclareMathAccent{\widehat}{\mathalpha}{largesymbols}{98} %\re@DeclareMathAccent{\widetilde}{\mathalpha}{largesymbols}{101} \xdef\widehat#1{\mathaccent"0\hexnumber@\symlargesymbols 62{#1}} \xdef\widetilde#1{\mathaccent"0\hexnumber@\symlargesymbols 65{#1}} \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}{symbols}{175} \DeclareMathAccent{\wideOarc}{\mathalpha}{symbols}{180} %%%%%%% Begin pxvec code 2019-07-31 (adaptive vec) \DeclareMathSymbol{\rVec@h}{\mathrel}{symbols}{198}% vector head \DeclareMathSymbol{\rVec@x}{\mathrel}{symbols}{199}% vector extension %% borrow interface from esvect \def\vv{\@ifstar{\vvstar}{\pxvec}} \def\vvstar#1#2{{\pxvec{#1}}_{\mkern-1mu\relax#2}} %% \newcommand{\pxvec}{\mathpalette{\overVec@\Vecfill@}} % \def\Vecfill@{\@rrowfill@\rVec@x\rVec@h} % \def\@rrowfill@#1#2#3{$\m@th\mkern2mu% \relax#3#1\mkern-1.5mu\cleaders\hbox{$#3\mkern-.4mu#1\mkern-.4mu$}\hfill\mkern-1.5mu#2$} % \def\overVec@#1#2#3{\mathop{\vbox{\ialign{##\crcr\noalign{\kern-.2ex}% #1#2\crcr\noalign{\kern\npxmath@vecsep\nointerlineskip}% kern controls sep to arrow $\m@th\hfil #2#3\hfil$\crcr}}}} %%%%%%%% End pxvec code %%%%%%%%%%%% %Integrals %%%%%%%%%%%% %\def\surd{{\mathchar"13F9}} \re@DeclareMathSymbol{\smallintsl} {\mathop}{symbols}{"80} \re@DeclareMathSymbol{\smalliintsl} {\mathop}{symbols}{"81} \re@DeclareMathSymbol{\smalliiintsl} {\mathop}{symbols}{"82} \re@DeclareMathSymbol{\smallointsl} {\mathop}{symbols}{"83} \re@DeclareMathSymbol{\smalloiintsl} {\mathop}{symbols}{"84} \re@DeclareMathSymbol{\smalloiiintsl} {\mathop}{symbols}{"85} \re@DeclareMathSymbol{\smallvarointclockwisesl}{\mathop}{symbols}{"86} \re@DeclareMathSymbol{\smallointctrclockwisesl}{\mathop}{symbols}{"87} \re@DeclareMathSymbol{\smallsumintsl} {\mathop}{symbols}{"88} \re@DeclareMathSymbol{\smalliiiintsl} {\mathop}{symbols}{"89} \re@DeclareMathSymbol{\smallfintsl} {\mathop}{symbols}{"8A} \re@DeclareMathSymbol{\smallsqintsl} {\mathop}{symbols}{"8B} \re@DeclareMathSymbol{\smallintup} {\mathop}{symbols}{"8C} \re@DeclareMathSymbol{\smalliintup} {\mathop}{symbols}{"8D} \re@DeclareMathSymbol{\smalliiintup} {\mathop}{symbols}{"8E} \re@DeclareMathSymbol{\smallointup} {\mathop}{symbols}{"8F} \re@DeclareMathSymbol{\smalloiintup} {\mathop}{symbols}{"90} \re@DeclareMathSymbol{\smalloiiintup} {\mathop}{symbols}{"91} \re@DeclareMathSymbol{\smallvarointclockwiseup}{\mathop}{symbols}{"92} \re@DeclareMathSymbol{\smallointctrclockwiseup}{\mathop}{symbols}{"93} \re@DeclareMathSymbol{\smallsumintup} {\mathop}{symbols}{"94} \re@DeclareMathSymbol{\smalliiiintup} {\mathop}{symbols}{"95} \re@DeclareMathSymbol{\smallfintup} {\mathop}{symbols}{"96} \re@DeclareMathSymbol{\smallsqintup} {\mathop}{symbols}{"97} \re@DeclareMathSymbol{\intslop} {\mathop}{largesymbols}{"AF} \re@DeclareMathSymbol{\iintslop} {\mathop}{largesymbols}{"B0} \re@DeclareMathSymbol{\iiintslop} {\mathop}{largesymbols}{"B1} \re@DeclareMathSymbol{\ointslop} {\mathop}{largesymbols}{"B2} \re@DeclareMathSymbol{\oiintslop} {\mathop}{largesymbols}{"B3} \re@DeclareMathSymbol{\oiiintslop} {\mathop}{largesymbolsPXA}{"40} \re@DeclareMathSymbol{\varointclockwiseslop} {\mathop}{largesymbolsPXA}{"42} \re@DeclareMathSymbol{\ointctrclockwiseslop} {\mathop}{largesymbolsPXA}{"44} \re@DeclareMathSymbol{\sumintslop} {\mathop}{largesymbolsPXA}{"46} \re@DeclareMathSymbol{\iiiintslop} {\mathop}{largesymbolsPXA}{"48} \re@DeclareMathSymbol{\fintslop} {\mathop}{largesymbolsPXA}{"4A} \re@DeclareMathSymbol{\sqintslop} {\mathop}{largesymbolsPXA}{"4C} \re@DeclareMathSymbol{\intupop} {\mathop}{largesymbols}{"B4} \re@DeclareMathSymbol{\iintupop} {\mathop}{largesymbols}{"B5} \re@DeclareMathSymbol{\iiintupop} {\mathop}{largesymbols}{"B6} \re@DeclareMathSymbol{\ointupop} {\mathop}{largesymbols}{"B7} \re@DeclareMathSymbol{\oiintupop} {\mathop}{largesymbols}{"B8} \re@DeclareMathSymbol{\oiiintupop} {\mathop}{largesymbolsPXA}{"08} \re@DeclareMathSymbol{\varointclockwiseupop} {\mathop}{largesymbolsPXA}{"0A} \re@DeclareMathSymbol{\ointctrclockwiseupop} {\mathop}{largesymbolsPXA}{"0C} \re@DeclareMathSymbol{\sumintupop} {\mathop}{largesymbolsPXA}{"0E} \re@DeclareMathSymbol{\iiiintupop} {\mathop}{largesymbolsPXA}{"21} \re@DeclareMathSymbol{\fintupop} {\mathop}{largesymbolsPXA}{"23} \re@DeclareMathSymbol{\sqintupop} {\mathop}{largesymbolsPXA}{"25} \ifpx@upint \let\smallint=\smallintup \let\smalliint=\smalliintup \let\smalliiint=\smalliiintup \let\smalloint=\smallointup \let\smalloiint=\smalloiintup \let\smalloiiint=\smalloiiintup \let\smallvarointclockwise=\smallvarointclockwiseup \let\smallointctrclockwise=\smallointctrclockwiseup \let\smallsumint=\smallsumintup \let\smalliiiint=\smalliiiintup \let\smallfint=\smallfintup \let\smallsqint=\smallsqintup \let\intop=\intupop \let\iintop=\iintupop \let\iiintop=\iiintupop \let\ointop=\ointupop \let\oiintop=\oiintupop \let\oiiintop=\oiiintupop \let\varointclockwiseop=\varointclockwiseupop \let\ointctrclockwiseop=\ointctrclockwiseupop \let\sumintop=\sumintupop \let\iiiintop=\iiiintupop \let\fintop=\fintupop \let\sqintop=\sqintupop \else \let\smallint=\smallintsl \let\smalliint=\smalliintsl \let\smalliiint=\smalliiintsl \let\smalloint=\smallointsl \let\smalloiint=\smalloiintsl \let\smalloiiint=\smalloiiintsl \let\smallvarointclockwise=\smallvarointclockwisesl \let\smallointctrclockwise=\smallointctrclockwisesl \let\smallsumint=\smallsumintsl \let\smalliiiint=\smalliiiintsl \let\smallfint=\smallfintsl \let\smallsqint=\smallsqintsl \let\intop=\intslop \let\iintop=\iintslop \let\iiintop=\iiintslop \let\ointop=\ointslop \let\oiintop=\oiintslop \let\oiiintop=\oiiintslop \let\varointclockwiseop=\varointclockwiseslop \let\ointctrclockwiseop=\ointctrclockwiseslop \let\sumintop=\sumintslop \let\iiiintop=\iiiintslop \let\fintop=\fintslop \let\sqintop=\sqintslop \fi \def\int{\DOTSI\intop\ilimits@} \def\iint{\DOTSI\iintop\ilimits@} \def\iiint{\DOTSI\iiintop\ilimits@} \def\oint{\DOTSI\ointop\ilimits@} \def\oiint{\DOTSI\oiintop\ilimits@} \def\oiiint{\DOTSI\oiiintop\ilimits@} \def\varointclockwise{\DOTSI\varointclockwiseop\ilimits@} \def\ointctrclockwise{\DOTSI\ointctrclockwiseop\ilimits@} \def\sumint{\DOTSI\sumintop\ilimits@} \def\iiiint{\DOTSI\iiiintop\ilimits@} \def\fint{\DOTSI\fintop\ilimits@} \def\sqint{\DOTSI\sqintop\ilimits@} \let\ointclockwise=\varointclockwise \def\intsl{\DOTSI\intslop\ilimits@} \def\iintsl{\DOTSI\iintslop\ilimits@} \def\iiintsl{\DOTSI\iiintslop\ilimits@} \def\ointsl{\DOTSI\ointslop\ilimits@} \def\oiintsl{\DOTSI\oiintslop\ilimits@} \def\oiiintsl{\DOTSI\oiiintslop\ilimits@} \def\varointclockwisesl{\DOTSI\varointclockwiseslop\ilimits@} \def\ointctrclockwisesl{\DOTSI\ointctrclockwiseslop\ilimits@} \def\sumintsl{\DOTSI\sumintslop\ilimits@} \def\iiiintsl{\DOTSI\iiiintslop\ilimits@} \def\fintsl{\DOTSI\fintslop\ilimits@} \def\sqintsl{\DOTSI\sqintslop\ilimits@} \let\ointclockwisesl=\varointclockwisesl \def\intup{\DOTSI\intupop\ilimits@} \def\iintup{\DOTSI\iintupop\ilimits@} \def\iiintup{\DOTSI\iiintupop\ilimits@} \def\ointup{\DOTSI\ointupop\ilimits@} \def\oiintup{\DOTSI\oiintupop\ilimits@} \def\oiiintup{\DOTSI\oiiintupop\ilimits@} \def\varointclockwiseup{\DOTSI\varointclockwiseupop\ilimits@} \def\ointctrclockwiseup{\DOTSI\ointctrclockwiseupop\ilimits@} \def\sumintup{\DOTSI\sumintupop\ilimits@} \def\iiiintup{\DOTSI\iiiintupop\ilimits@} \def\fintup{\DOTSI\fintupop\ilimits@} \def\sqintup{\DOTSI\sqintupop\ilimits@} \let\ointclockwiseup=\varointclockwiseup %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math extension options %%%%%%%%%%%%%%%%%%%%%%%%%%%%% \ifpx@smops % use smaller form of binary operators \re@DeclareMathSymbol{\bigsqcupop}{\mathop}{largesymbols}{"46} \re@DeclareMathSymbol{\bigodotop}{\mathop}{largesymbols}{"4A} \re@DeclareMathSymbol{\bigoplusop}{\mathop}{largesymbols}{"4C} \re@DeclareMathSymbol{\bigotimesop}{\mathop}{largesymbols}{"4E} \re@DeclareMathSymbol{\sumop}{\mathop}{largesymbols}{"50} \re@DeclareMathSymbol{\prodop}{\mathop}{largesymbols}{"51} \re@DeclareMathSymbol{\bigcupop}{\mathop}{largesymbols}{"53} \re@DeclareMathSymbol{\bigcapop}{\mathop}{largesymbols}{"54} \re@DeclareMathSymbol{\biguplusop}{\mathop}{largesymbols}{"55} \re@DeclareMathSymbol{\bigwedgeop}{\mathop}{largesymbols}{"56} \re@DeclareMathSymbol{\bigveeop}{\mathop}{largesymbols}{"57} \re@DeclareMathSymbol{\bigcupdotop}{\mathop}{largesymbols}{"DF} \re@DeclareMathSymbol{\bigcapplusop}{\mathop}{largesymbolsPXA}{"00} \re@DeclareMathSymbol{\bigsqcupplusop}{\mathop}{largesymbolsPXA}{"02} \re@DeclareMathSymbol{\bigsqcapplusop}{\mathop}{largesymbolsPXA}{"04} \re@DeclareMathSymbol{\bigsqcapop}{\mathop}{largesymbolsPXA}{"06} \re@DeclareMathSymbol{\bigtimesop}{\mathop}{largesymbolsPXA}{"10} \re@DeclareMathSymbol{\coprodop}{\mathop}{largesymbols}{"60} %\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} \else \re@DeclareMathSymbol{\bigsqcupop}{\mathop}{largesymbols}{"C3} \re@DeclareMathSymbol{\bigodotop}{\mathop}{largesymbols}{"C7} \re@DeclareMathSymbol{\bigoplusop}{\mathop}{largesymbols}{"C9} \re@DeclareMathSymbol{\bigotimesop}{\mathop}{largesymbols}{"CB} \re@DeclareMathSymbol{\sumop}{\mathop}{largesymbols}{"CD} \re@DeclareMathSymbol{\prodop}{\mathop}{largesymbols}{"CE} \re@DeclareMathSymbol{\bigcupop}{\mathop}{largesymbols}{"D0} \re@DeclareMathSymbol{\bigcapop}{\mathop}{largesymbols}{"D1} \re@DeclareMathSymbol{\biguplusop}{\mathop}{largesymbols}{"D2} \re@DeclareMathSymbol{\bigwedgeop}{\mathop}{largesymbols}{"D3} \re@DeclareMathSymbol{\bigveeop}{\mathop}{largesymbols}{"D4} \re@DeclareMathSymbol{\bigcupdotop}{\mathop}{largesymbols}{"CF} \re@DeclareMathSymbol{\bigcapplusop}{\mathop}{largesymbolsPXA}{"28} \re@DeclareMathSymbol{\bigsqcupplusop}{\mathop}{largesymbolsPXA}{"2A} \re@DeclareMathSymbol{\bigsqcapplusop}{\mathop}{largesymbolsPXA}{"2C} \re@DeclareMathSymbol{\bigsqcapop}{\mathop}{largesymbolsPXA}{"2E} \re@DeclareMathSymbol{\bigtimesop}{\mathop}{largesymbolsPXA}{"3E} \re@DeclareMathSymbol{\coprodop}{\mathop}{largesymbols}{"DD} \fi \def\prod{\DOTSI\prodop\slimits@} \def\coprod{\DOTSI\coprodop\slimits@} \def\sum{\DOTSI\sumop\slimits@} \def\bigwedge{\DOTSI\bigwedgeop\slimits@} \def\bigvee{\DOTSI\bigveeop\slimits@} \def\bigcap{\DOTSI\bigcapop\slimits@} \def\bigcup{\DOTSI\bigcupop\slimits@} \def\bigodot{\DOTSI\bigodotop\slimits@} \def\bigoplus{\DOTSI\bigoplusop\slimits@} \def\bigotimes{\DOTSI\bigotimesop\slimits@} \def\bigcupdot{\DOTSI\bigcupdotop\slimits@} \def\bignplus{\DOTSI\bigcapplusop\slimits@} \let\bigcapplus=\bignplus \def\biguplus{\DOTSI\biguplusop\slimits@} \let\bigcupplus=\biguplus \def\bigsqcap{\DOTSI\bigsqcapop\slimits@} \def\bigsqcapplus{\DOTSI\bigsqcapplusop\slimits@} \def\bigsqcup{\DOTSI\bigsqcupop\slimits@} \def\bigsqcupplus{\DOTSI\bigsqcupplusop\slimits@} \def\bigtimes{\DOTSI\bigtimesop\slimits@} \let\varprod=\bigtimes %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Symbol Definitions % AMSm %%%%%%%%%%%%%%%%%%%%%%%%%%%%% \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 \edef\checkmark{\noexpand\mathhexbox{\hexnumber@\symAMSm}D8} \edef\circledR{\noexpand\mathhexbox{\hexnumber@\symAMSm}F2} \edef\maltese{\noexpand\mathhexbox{\hexnumber@\symAMSm}FA} %%%%%%%%%%%%%%%%%%%%%%%%%%%%% % 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}{124} % was 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{\colondash}{\mathrel}{symbolsC}{68} \re@DeclareMathSymbol{\dashcolon}{\mathrel}{symbolsC}{69} \re@DeclareMathSymbol{\Coloneq}{\mathrel}{symbolsC}{70} \re@DeclareMathSymbol{\Eqcolon}{\mathrel}{symbolsC}{71} \re@DeclareMathSymbol{\Colondash}{\mathrel}{symbolsC}{72} \re@DeclareMathSymbol{\Dashcolon}{\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} \let\lBrack=\llbracket \re@DeclareMathDelimiter{\rrbracket}{\mathclose}{symbolsC}{127}{largesymbolsPXA}{19} \let\rBrack=\rrbracket \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} \else % \px@symbolsCfalse \newcommand*{\nvarparallel}{\centernot\varparallel} \newcommand*{\nvarparallelinv}{\centernot\varparallelinv} \newcommand*{\nprecsim}{\centernot\precsim} \newcommand*{\nsuccsim}{\centernot\succsim} \newcommand*{\nlesssim}{\centernot\lesssim} \newcommand*{\ngtrsim}{\centernot\gtrsim} \newcommand*{\nlessapprox}{\centernot\lessapprox} \newcommand*{\ngtrapprox}{\centernot\gtrapprox} \newcommand*{\npreccurlyeq}{\centernot\preccurlyeq} \newcommand*{\nsucccurlyeq}{\centernot\succcurlyeq} \newcommand*{\ngtrless}{\centernot\gtrless} \newcommand*{\nlessgtr}{\centernot\lessgtr} \newcommand*{\nbumpeq}{\centernot\bumpeq} \newcommand*{\nBumpeq}{\centernot\Bumpeq} \newcommand*{\nbacksim}{\centernot\backsim} \newcommand*{\nbacksimeq}{\centernot\backsimeq} \newcommand*{\nasymp}{\centernot\asymp} \newcommand*{\nequiv}{\centernot\equiv} %\newcommand*{\nsim}{\centernot\sim} \newcommand*{\napprox}{\centernot\approx} \newcommand*{\nll}{\centernot\ll} \newcommand*{\ngg}{\centernot\gg} \newcommand*{\nthickapprox}{\centernot\thickapprox} \newcommand*{\napproxeq}{\centernot\approxeq} \newcommand*{\nprecapprox}{\centernot\precapprox} \newcommand*{\nsuccapprox}{\centernot\succapprox} \newcommand*{\npreceqq}{\centernot\preceqq} \newcommand*{\nsucceqq}{\centernot\succeqq} \newcommand*{\nsimeq}{\centernot\simeq} \newcommand*{\nSubset}{\centernot\Subset} \newcommand*{\nSupset}{\centernot\Supset} \newcommand*{\nsqsubseteq}{\centernot\sqsubseteq} \newcommand*{\nsqsupseteq}{\centernot\sqsupseteq} \newcommand*{\nplus}{\centernot\plus} \newcommand*{\nsqsubset}{\centernot\sqsubset} \newcommand*{\nsqsupset}{\centernot\sqsupset} \newcommand*{\ntwoheadrightarrow}{\centernot\twoheadrightarrow} \newcommand*{\ntwoheadleftarrow}{\centernot\twoheadleftarrow} \fi %\def\dlb{\ensuremath\raisebox{.15ex}{\mbox{\usefont{U}{pxsyc}{m}{n}\char126}}} %\def\drb{\ensuremath\raisebox{.15ex}{\mbox{\usefont{U}{pxsyc}{m}{n}\char127}}} \let\dlb\llbracket \let\drb\rrbracket % 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 %Additional imath and jmath \DeclareMathSymbol{\imathfrak}{\mathord}{lettersA}{123} \DeclareMathSymbol{\jmathfrak}{\mathord}{lettersA}{124} \DeclareMathSymbol{\imathbb}{\mathord}{lettersA}{125} \DeclareMathSymbol{\jmathbb}{\mathord}{lettersA}{126} \DeclareMathSymbol{\imathup}{\mathord}{lettersA}{188} \DeclareMathSymbol{\jmathup}{\mathord}{lettersA}{189} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % 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 %Added in version 1.3 \re@DeclareMathAccent{\vec}{\mathord}{symbols}{174} \DeclareMathAccent{\lvec}{\mathord}{symbols}{169} \DeclareMathAccent{\lrvec}{\mathord}{symbols}{172} \DeclareMathAccent{\harpoonacc}{\mathord}{symbols}{170} \DeclareMathAccent{\lharpoonacc}{\mathord}{symbols}{171} \DeclareMathAccent{\lrharpoonacc}{\mathord}{symbols}{173} \DeclareMathAccent{\barbar}{\mathord}{symbols}{189} \DeclareMathAccent{\bartilde}{\mathord}{symbols}{190} \DeclareMathAccent{\barhat}{\mathord}{symbols}{191} \DeclareMathAccent{\tildebar}{\mathord}{symbols}{192} \DeclareMathAccent{\tildetilde}{\mathord}{symbols}{193} \DeclareMathAccent{\tildehat}{\mathord}{symbols}{194} \DeclareMathAccent{\hatbar}{\mathord}{symbols}{195} \DeclareMathAccent{\hattilde}{\mathord}{symbols}{196} \DeclareMathAccent{\hathat}{\mathord}{symbols}{197} \DeclareMathSymbol{\cdotB}{\mathord}{symbols}{208} \DeclareMathSymbol{\cdotBB}{\mathord}{symbols}{209} \DeclareMathSymbol{\circS}{\mathord}{symbols}{210} \DeclareMathSymbol{\bulletSSS}{\mathord}{symbols}{211} \DeclareMathSymbol{\bulletSS}{\mathord}{symbols}{212} \DeclareMathSymbol{\bulletS}{\mathord}{symbols}{213} \DeclareMathSymbol{\primeS}{\mathord}{symbols}{214} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Math Italic A (npxmia) Definition % lettersA %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \re@DeclareMathSymbol{\varkappait}{\mathord}{letters}{129} \let\varkappa\varkappait \re@DeclareMathSymbol{\varkappaup}{\mathord}{lettersA}{129} % upright Greek \re@DeclareMathSymbol{\Gammaup}{\mathalpha}{lettersA}{0} \re@DeclareMathSymbol{\Deltaup}{\mathalpha}{lettersA}{1} \re@DeclareMathSymbol{\Thetaup}{\mathalpha}{lettersA}{2} \re@DeclareMathSymbol{\Lambdaup}{\mathalpha}{lettersA}{3} \re@DeclareMathSymbol{\Xiup}{\mathalpha}{lettersA}{4} \re@DeclareMathSymbol{\Piup}{\mathalpha}{lettersA}{5} \re@DeclareMathSymbol{\Sigmaup}{\mathalpha}{lettersA}{6} \re@DeclareMathSymbol{\Upsilonup}{\mathalpha}{lettersA}{7} \re@DeclareMathSymbol{\Phiup}{\mathalpha}{lettersA}{8} \re@DeclareMathSymbol{\Psiup}{\mathalpha}{lettersA}{9} \re@DeclareMathSymbol{\Omegaup}{\mathalpha}{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{\nexists}{\mathord}{symbols}{"9A} \let\nexistsAlt=\nexists \re@DeclareMathSymbol{\exists}{\mathord}{symbols}{57} \let\existsAlt=\exists \re@DeclareMathSymbol{\forall}{\mathord}{symbols}{56} \let\forallAlt=\forall %\DeclareMathSymbol{\forallAlt}{\mathord}{lettersA}{91}%added 20130726 %\DeclareMathSymbol{\nexistsAlt}{\mathord}{lettersA}{93}%added 20130726 %\DeclareMathSymbol{\emptysetAlt}{\mathord}{lettersA}{94}%added 20130726 \re@DeclareMathSymbol{\emptysetAlt}{\mathord}{symbols}{"9B} \re@DeclareMathSymbol{\varnothing}{\mathord}{symbols}{"9C} % \re@DeclareMathSymbol{\Gammait}{\mathalpha}{letters}{0} \re@DeclareMathSymbol{\Deltait}{\mathalpha}{letters}{1} \re@DeclareMathSymbol{\Thetait}{\mathalpha}{letters}{2} \re@DeclareMathSymbol{\Lambdait}{\mathalpha}{letters}{3} \re@DeclareMathSymbol{\Xiit}{\mathalpha}{letters}{4} \re@DeclareMathSymbol{\Piit}{\mathalpha}{letters}{5} \re@DeclareMathSymbol{\Sigmait}{\mathalpha}{letters}{6} \re@DeclareMathSymbol{\Upsilonit}{\mathalpha}{letters}{7} \re@DeclareMathSymbol{\Phiit}{\mathalpha}{letters}{8} \re@DeclareMathSymbol{\Psiit}{\mathalpha}{letters}{9} \re@DeclareMathSymbol{\Omegait}{\mathalpha}{letters}{10} \re@DeclareMathSymbol{\alphait}{\mathord}{letters}{11} \re@DeclareMathSymbol{\betait}{\mathord}{letters}{12} \re@DeclareMathSymbol{\gammait}{\mathord}{letters}{13} \re@DeclareMathSymbol{\deltait}{\mathord}{letters}{14} \re@DeclareMathSymbol{\epsilonit}{\mathord}{letters}{15} \re@DeclareMathSymbol{\zetait}{\mathord}{letters}{16} \re@DeclareMathSymbol{\etait}{\mathord}{letters}{17} \re@DeclareMathSymbol{\thetait}{\mathord}{letters}{18} \re@DeclareMathSymbol{\iotait}{\mathord}{letters}{19} \re@DeclareMathSymbol{\kappait}{\mathord}{letters}{20} \re@DeclareMathSymbol{\lambdait}{\mathord}{letters}{21} \re@DeclareMathSymbol{\muit}{\mathord}{letters}{22} \re@DeclareMathSymbol{\nuit}{\mathord}{letters}{23} \re@DeclareMathSymbol{\xiit}{\mathord}{letters}{24} \re@DeclareMathSymbol{\piit}{\mathord}{letters}{25} \re@DeclareMathSymbol{\rhoit}{\mathord}{letters}{26} \re@DeclareMathSymbol{\sigmait}{\mathord}{letters}{27} \re@DeclareMathSymbol{\tauit}{\mathord}{letters}{28} \re@DeclareMathSymbol{\upsilonit}{\mathord}{letters}{29} \re@DeclareMathSymbol{\phiit}{\mathord}{letters}{30} \re@DeclareMathSymbol{\chiit}{\mathord}{letters}{31} \re@DeclareMathSymbol{\psiit}{\mathord}{letters}{32} \re@DeclareMathSymbol{\omegait}{\mathord}{letters}{33} \re@DeclareMathSymbol{\varepsilonit}{\mathord}{letters}{34} \re@DeclareMathSymbol{\varthetait}{\mathord}{letters}{35} \re@DeclareMathSymbol{\varpiit}{\mathord}{letters}{36} \re@DeclareMathSymbol{\varrhoit}{\mathord}{letters}{37} \re@DeclareMathSymbol{\varsigmait}{\mathord}{letters}{38} \re@DeclareMathSymbol{\varphiit}{\mathord}{letters}{39} \re@DeclareMathSymbol{\varg}{\mathord}{lettersA}{188} % change this %\def\varg{\mathnormal{g}} \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 %} %% Experimental code May 8, 2018 %\newcount\npx@numstart %\newcount\npx@UCstart %\newcount\npx@lcstart %\newcount\npx@tmpc %\newcount\npx@imath %\newcount\npx@jmath %\newif\ifnpx@notempty %\def\npx@fam{} %\def\npx@char{} %\def\npx@alfa#1#2#3#4#5#6#7{%#1=string, #2=UC,#3=lc,#4=imath,#5=jmath,#6=numstart,#7=fam % \npx@UCstart=#2 % %\gdef\xx{x#3x} % \@xp\ifblank\@xp{#3}{\npx@lcstart=512 }{\npx@lcstart=#3} % \@xp\ifblank\@xp{#4}{\npx@imath=512 }{\npx@imath=#4} % \@xp\ifblank\@xp{#5}{\npx@jmath=512 }{\npx@jmath=#5} % \@xp\ifblank\@xp{#6}{\npx@numstart=512 }{\npx@numstart=#6} % \def\npx@fam{#7} % \@xp\ifblank\@xp{#1}{\relax}{\@xp\npx@@alfa #1\@nil}} % %\def\npx@@alfa#1#2\@nil{% % \npx@out{#1} % \ifblank{#2}{\relax}{\npx@@alfa #2\@nil}} % %\def\npx@out#1{% #1 is always a single token---use values from \npx@alfa % %\showthe\npx@numstart % \npx@tmpc=\z@ % \ifx#1\imath\npx@tmpc=128\relax % \ifnum\npx@imath>255\relax #1\npx@tmpc=256 \message{^^JNo imath in this alphabet^^J}\fi % \else % not \imath % \ifx#1\jmath\npx@tmpc=129\relax % \ifnum\npx@jmath>255\relax #1\npx@tmpc=256 \message{^^JNo jmath in this alphabet^^J}\fi % \else % neither \imath nor \jmath % \ifiscseq{#1}{#1\npx@tmpc=256 }{% not a cs % \npx@tmpc=\number\@xp`#1} % \fi % \fi % %\message{^^JCharacter index = \the\npx@tmpc^^J} % \ifnum\npx@tmpc<128\relax % neither \imath nor \jmath nor cs % \px@isAlNum{#1} % %\message{^^JIsAlNum = \the\px@IsAlNum^^J} % \ifnum\px@IsAlNum=\@ne % it's a digit % \ifnum\npx@numstart>255\relax #1\npx@tmpc=256 \message{^^JNo digits in this alphabet^^J} % \else % \advance\npx@tmpc -48 % 0..9 % \advance\npx@tmpc \npx@numstart % \fi % \else % \ifnum\px@IsAlNum=\tw@ % it's UC % \advance\npx@tmpc -65 % 0..25 % \advance\npx@tmpc\npx@UCstart % \else % \ifnum\px@IsAlNum>\tw@ % it's lc % \ifnum\npx@lcstart>255 #1\npx@tmpc=256 \message{^^JNo lowercase in this alphabet^^J} % \else % %\message{^^JCharacter index = \the\npx@tmpc^^J % %lcstart = \the\npx@lcstart^^J} % \advance\npx@tmpc -97 % 0..25 % \advance\npx@tmpc\npx@lcstart % %\message{^^JCharacter index = \the\npx@tmpc^^J} % \fi % \else % it must be a character outside alphanumerics % #1 % \fi % \fi % \fi % \else % npx@tmpc>127 % \ifnum\npx@tmpc=128\relax % imath % \npx@tmpc=\npx@imath % \else % \ifnum\npx@tmpc=129\relax % jmath % \npx@tmpc=\npx@jmath % \fi % \fi % \fi % \ifnum\px@IsAlNum>\z@ % \ifnum\npx@tmpc<256\relax % \edef\npx@char{"\@xp\hexnumber@\csname sym\npx@fam\endcsname\nhex{2}{\the\npx@tmpc}} % %\message{^^Joutput char = \npx@char^^J} % \@xp\mathchar\npx@char%\traceoff % \fi %end of ifnum <256 % \fi % end ifnum>0 %} % %\DeclareRobustCommand{\vmathbb}[1]{\npx@alfa{#1}{132}{158}{186}{187}{43}{lettersA}} %\DeclareRobustCommand{\vvmathbb}[1]{\npx@alfa{#1}{193}{225}{186}{187}{43}{lettersA}} \DeclareMathSymbol{\m@thbbch@rA}{\mathord}{lettersA}{132} \DeclareMathSymbol{\m@thbbch@rB}{\mathord}{lettersA}{133} \DeclareMathSymbol{\m@thbbch@rC}{\mathord}{lettersA}{134} \DeclareMathSymbol{\m@thbbch@rD}{\mathord}{lettersA}{135} \DeclareMathSymbol{\m@thbbch@rE}{\mathord}{lettersA}{136} \DeclareMathSymbol{\m@thbbch@rF}{\mathord}{lettersA}{137} \DeclareMathSymbol{\m@thbbch@rG}{\mathord}{lettersA}{138} \DeclareMathSymbol{\m@thbbch@rH}{\mathord}{lettersA}{139} \DeclareMathSymbol{\m@thbbch@rI}{\mathord}{lettersA}{140} \DeclareMathSymbol{\m@thbbch@rJ}{\mathord}{lettersA}{141} \DeclareMathSymbol{\m@thbbch@rK}{\mathord}{lettersA}{142} \DeclareMathSymbol{\m@thbbch@rL}{\mathord}{lettersA}{143} \DeclareMathSymbol{\m@thbbch@rM}{\mathord}{lettersA}{144} \DeclareMathSymbol{\m@thbbch@rN}{\mathord}{lettersA}{145} \DeclareMathSymbol{\m@thbbch@rO}{\mathord}{lettersA}{146} \DeclareMathSymbol{\m@thbbch@rP}{\mathord}{lettersA}{147} \DeclareMathSymbol{\m@thbbch@rQ}{\mathord}{lettersA}{148} \DeclareMathSymbol{\m@thbbch@rR}{\mathord}{lettersA}{149} \DeclareMathSymbol{\m@thbbch@rS}{\mathord}{lettersA}{150} \DeclareMathSymbol{\m@thbbch@rT}{\mathord}{lettersA}{151} \DeclareMathSymbol{\m@thbbch@rU}{\mathord}{lettersA}{152} \DeclareMathSymbol{\m@thbbch@rV}{\mathord}{lettersA}{153} \DeclareMathSymbol{\m@thbbch@rW}{\mathord}{lettersA}{154} \DeclareMathSymbol{\m@thbbch@rX}{\mathord}{lettersA}{155} \DeclareMathSymbol{\m@thbbch@rY}{\mathord}{lettersA}{156} \DeclareMathSymbol{\m@thbbch@rZ}{\mathord}{lettersA}{157} \DeclareMathSymbol{\m@thbbch@ra}{\mathord}{lettersA}{158} \DeclareMathSymbol{\m@thbbch@rb}{\mathord}{lettersA}{159} \DeclareMathSymbol{\m@thbbch@rc}{\mathord}{lettersA}{160} \DeclareMathSymbol{\m@thbbch@rd}{\mathord}{lettersA}{161} \DeclareMathSymbol{\m@thbbch@re}{\mathord}{lettersA}{162} \DeclareMathSymbol{\m@thbbch@rf}{\mathord}{lettersA}{163} \DeclareMathSymbol{\m@thbbch@rg}{\mathord}{lettersA}{164} \DeclareMathSymbol{\m@thbbch@rh}{\mathord}{lettersA}{165} \DeclareMathSymbol{\m@thbbch@ri}{\mathord}{lettersA}{166} \DeclareMathSymbol{\m@thbbch@rj}{\mathord}{lettersA}{167} \DeclareMathSymbol{\m@thbbch@rk}{\mathord}{lettersA}{168} \DeclareMathSymbol{\m@thbbch@rl}{\mathord}{lettersA}{169} \DeclareMathSymbol{\m@thbbch@rm}{\mathord}{lettersA}{170} \DeclareMathSymbol{\m@thbbch@rn}{\mathord}{lettersA}{171} \DeclareMathSymbol{\m@thbbch@ro}{\mathord}{lettersA}{172} \DeclareMathSymbol{\m@thbbch@rp}{\mathord}{lettersA}{173} \DeclareMathSymbol{\m@thbbch@rq}{\mathord}{lettersA}{174} \DeclareMathSymbol{\m@thbbch@rr}{\mathord}{lettersA}{175} \DeclareMathSymbol{\m@thbbch@rs}{\mathord}{lettersA}{176} \DeclareMathSymbol{\m@thbbch@rt}{\mathord}{lettersA}{177} \DeclareMathSymbol{\m@thbbch@ru}{\mathord}{lettersA}{178} \DeclareMathSymbol{\m@thbbch@rv}{\mathord}{lettersA}{179} \DeclareMathSymbol{\m@thbbch@rw}{\mathord}{lettersA}{180} \DeclareMathSymbol{\m@thbbch@rx}{\mathord}{lettersA}{181} \DeclareMathSymbol{\m@thbbch@ry}{\mathord}{lettersA}{182} \DeclareMathSymbol{\m@thbbch@rz}{\mathord}{lettersA}{183} \DeclareMathSymbol{\m@thbbch@rzero}{\mathord}{lettersA}{43} \DeclareMathSymbol{\m@thbbch@rone}{\mathord}{lettersA}{44} \DeclareMathSymbol{\m@thbbch@rtwo}{\mathord}{lettersA}{45} \DeclareMathSymbol{\m@thbbch@rthree}{\mathord}{lettersA}{46} \DeclareMathSymbol{\m@thbbch@rfour}{\mathord}{lettersA}{47} \DeclareMathSymbol{\m@thbbch@rfive}{\mathord}{lettersA}{48} \DeclareMathSymbol{\m@thbbch@rsix}{\mathord}{lettersA}{49} \DeclareMathSymbol{\m@thbbch@rseven}{\mathord}{lettersA}{50} \DeclareMathSymbol{\m@thbbch@reight}{\mathord}{lettersA}{51} \DeclareMathSymbol{\m@thbbch@rnine}{\mathord}{lettersA}{52} \DeclareMathSymbol{\m@thbbch@rimath}{\mathord}{lettersA}{184} \DeclareMathSymbol{\m@thbbch@rjmath}{\mathord}{lettersA}{185} \DeclareMathSymbol{\m@thbbch@rGamma}{\mathord}{lettersA}{219} \DeclareMathSymbol{\m@thbbch@rPi}{\mathord}{lettersA}{220} \DeclareMathSymbol{\m@thbbch@rgamma}{\mathord}{lettersA}{221} \DeclareMathSymbol{\m@thbbch@rpi}{\mathord}{lettersA}{222} %\@nameuse{m@thbbch@r 0} \@xp\let\csname m@thbbch@r0\endcsname=\m@thbbch@rzero \@xp\let\csname m@thbbch@r1\endcsname=\m@thbbch@rone \@xp\let\csname m@thbbch@r2\endcsname=\m@thbbch@rtwo \@xp\let\csname m@thbbch@r3\endcsname=\m@thbbch@rthree \@xp\let\csname m@thbbch@r4\endcsname=\m@thbbch@rfour \@xp\let\csname m@thbbch@r5\endcsname=\m@thbbch@rfive \@xp\let\csname m@thbbch@r6\endcsname=\m@thbbch@rsix \@xp\let\csname m@thbbch@r7\endcsname=\m@thbbch@rseven \@xp\let\csname m@thbbch@r8\endcsname=\m@thbbch@reight \@xp\let\csname m@thbbch@r9\endcsname=\m@thbbch@rnine \def\px@@vbb#1#2\@nil{% \ifiscseq{#1}{\ifcsdef{m@thbbch@r\@xp\@gobble\string#1}{\csname m@thbbch@r\@xp\@gobble\string#1\endcsname}{#1}}{%not a cs \csname m@thbbch@r#1\endcsname} \ifblank{#2}{\relax}{\px@@vbb #2\@nil}} \DeclareRobustCommand*{\varmathbb}[1]{\px@@vbb#1\@nil} \let\vmathbb=\varmathbb % was once different, but no longer so \DeclareMathSymbol{\px@BbbA}{\mathord}{lettersA}{193} \DeclareMathSymbol{\px@BbbB}{\mathord}{lettersA}{194} \DeclareMathSymbol{\px@BbbC}{\mathord}{lettersA}{195} \DeclareMathSymbol{\px@BbbD}{\mathord}{lettersA}{196} \DeclareMathSymbol{\px@BbbE}{\mathord}{lettersA}{197} \DeclareMathSymbol{\px@BbbF}{\mathord}{lettersA}{198} \DeclareMathSymbol{\px@BbbG}{\mathord}{lettersA}{199} \DeclareMathSymbol{\px@BbbH}{\mathord}{lettersA}{200} \DeclareMathSymbol{\px@BbbI}{\mathord}{lettersA}{201} \DeclareMathSymbol{\px@BbbJ}{\mathord}{lettersA}{202} \DeclareMathSymbol{\px@BbbK}{\mathord}{lettersA}{203} \DeclareMathSymbol{\px@BbbL}{\mathord}{lettersA}{204} \DeclareMathSymbol{\px@BbbM}{\mathord}{lettersA}{205} \DeclareMathSymbol{\px@BbbN}{\mathord}{lettersA}{206} \DeclareMathSymbol{\px@BbbO}{\mathord}{lettersA}{207} \DeclareMathSymbol{\px@BbbP}{\mathord}{lettersA}{208} \DeclareMathSymbol{\px@BbbQ}{\mathord}{lettersA}{209} \DeclareMathSymbol{\px@BbbR}{\mathord}{lettersA}{210} \DeclareMathSymbol{\px@BbbS}{\mathord}{lettersA}{211} \DeclareMathSymbol{\px@BbbT}{\mathord}{lettersA}{212} \DeclareMathSymbol{\px@BbbU}{\mathord}{lettersA}{213} \DeclareMathSymbol{\px@BbbV}{\mathord}{lettersA}{214} \DeclareMathSymbol{\px@BbbW}{\mathord}{lettersA}{215} \DeclareMathSymbol{\px@BbbX}{\mathord}{lettersA}{216} \DeclareMathSymbol{\px@BbbY}{\mathord}{lettersA}{217} \DeclareMathSymbol{\px@BbbZ}{\mathord}{lettersA}{218} \DeclareMathSymbol{\px@Bbba}{\mathord}{lettersA}{225} \DeclareMathSymbol{\px@Bbbb}{\mathord}{lettersA}{226} \DeclareMathSymbol{\px@Bbbc}{\mathord}{lettersA}{227} \DeclareMathSymbol{\px@Bbbd}{\mathord}{lettersA}{228} \DeclareMathSymbol{\px@Bbbe}{\mathord}{lettersA}{229} \DeclareMathSymbol{\px@Bbbf}{\mathord}{lettersA}{230} \DeclareMathSymbol{\px@Bbbg}{\mathord}{lettersA}{231} \DeclareMathSymbol{\px@Bbbh}{\mathord}{lettersA}{232} \DeclareMathSymbol{\px@Bbbi}{\mathord}{lettersA}{233} \DeclareMathSymbol{\px@Bbbj}{\mathord}{lettersA}{234} \DeclareMathSymbol{\px@Bbbk}{\mathord}{lettersA}{235} \DeclareMathSymbol{\px@Bbbl}{\mathord}{lettersA}{236} \DeclareMathSymbol{\px@Bbbm}{\mathord}{lettersA}{237} \DeclareMathSymbol{\px@Bbbn}{\mathord}{lettersA}{238} \DeclareMathSymbol{\px@Bbbo}{\mathord}{lettersA}{239} \DeclareMathSymbol{\px@Bbbp}{\mathord}{lettersA}{240} \DeclareMathSymbol{\px@Bbbq}{\mathord}{lettersA}{241} \DeclareMathSymbol{\px@Bbbr}{\mathord}{lettersA}{242} \DeclareMathSymbol{\px@Bbbs}{\mathord}{lettersA}{243} \DeclareMathSymbol{\px@Bbbt}{\mathord}{lettersA}{244} \DeclareMathSymbol{\px@Bbbu}{\mathord}{lettersA}{245} \DeclareMathSymbol{\px@Bbbv}{\mathord}{lettersA}{246} \DeclareMathSymbol{\px@Bbbw}{\mathord}{lettersA}{247} \DeclareMathSymbol{\px@Bbbx}{\mathord}{lettersA}{248} \DeclareMathSymbol{\px@Bbby}{\mathord}{lettersA}{249} \DeclareMathSymbol{\px@Bbbz}{\mathord}{lettersA}{250} \DeclareMathSymbol{\px@Bbbimath}{\mathord}{lettersA}{125} \DeclareMathSymbol{\px@Bbbjmath}{\mathord}{lettersA}{126} \@xp\let\csname px@Bbb0\endcsname=\m@thbbch@rzero \@xp\let\csname px@Bbb1\endcsname=\m@thbbch@rone \@xp\let\csname px@Bbb2\endcsname=\m@thbbch@rtwo \@xp\let\csname px@Bbb3\endcsname=\m@thbbch@rthree \@xp\let\csname px@Bbb4\endcsname=\m@thbbch@rfour \@xp\let\csname px@Bbb5\endcsname=\m@thbbch@rfive \@xp\let\csname px@Bbb6\endcsname=\m@thbbch@rsix \@xp\let\csname px@Bbb7\endcsname=\m@thbbch@rseven \@xp\let\csname px@Bbb8\endcsname=\m@thbbch@reight \@xp\let\csname px@Bbb9\endcsname=\m@thbbch@rnine \@xp\let\csname px@BbbGamma\endcsname=\m@thbbch@rGamma \@xp\let\csname px@BbbPi\endcsname=\m@thbbch@rPi \@xp\let\csname px@Bbbgamma\endcsname=\m@thbbch@rgamma \@xp\let\csname px@Bbbpi\endcsname=\m@thbbch@rpi % Changed macros which are not limited to a single character, and can include digits, \imath, \jmath \def\px@@vvbb#1#2\@nil{% \ifiscseq{#1}{\ifcsdef{px@Bbb\@xp\@gobble\string#1}{\csname px@Bbb\@xp\@gobble\string#1\endcsname}{#1}}{%not a cs \csname px@Bbb#1\endcsname} \ifblank{#2}{\relax}{\px@@vvbb #2\@nil}} \DeclareRobustCommand*{\vvmathbb}[1]{\px@@vvbb#1\@nil} \ifpx@vvarbb \let\mathbb\vvmathbb \else \ifpx@varbb \let\mathbb\vmathbb \else \ifpx@ams\else\let\mathbb\vmathbb\fi \fi \fi \DeclareRobustCommand{\Bbbk}{\mathbb{k}} \let\varmathbb\vmathbb \let\vvarmathbb\vvmathbb % Script letters \DeclareMathSymbol{\px@ScrA}{\mathord}{letters}{142} \DeclareMathSymbol{\px@ScrB}{\mathord}{letters}{143} \DeclareMathSymbol{\px@ScrC}{\mathord}{letters}{144} \DeclareMathSymbol{\px@ScrD}{\mathord}{letters}{145} \DeclareMathSymbol{\px@ScrE}{\mathord}{letters}{146} \DeclareMathSymbol{\px@ScrF}{\mathord}{letters}{147} \DeclareMathSymbol{\px@ScrG}{\mathord}{letters}{148} \DeclareMathSymbol{\px@ScrH}{\mathord}{letters}{149} \DeclareMathSymbol{\px@ScrI}{\mathord}{letters}{150} \DeclareMathSymbol{\px@ScrJ}{\mathord}{letters}{151} \DeclareMathSymbol{\px@ScrK}{\mathord}{letters}{152} \DeclareMathSymbol{\px@ScrL}{\mathord}{letters}{153} \DeclareMathSymbol{\px@ScrM}{\mathord}{letters}{154} \DeclareMathSymbol{\px@ScrN}{\mathord}{letters}{155} \DeclareMathSymbol{\px@ScrO}{\mathord}{letters}{156} \DeclareMathSymbol{\px@ScrP}{\mathord}{letters}{157} \DeclareMathSymbol{\px@ScrQ}{\mathord}{letters}{158} \DeclareMathSymbol{\px@ScrR}{\mathord}{letters}{159} \DeclareMathSymbol{\px@ScrS}{\mathord}{letters}{160} \DeclareMathSymbol{\px@ScrT}{\mathord}{letters}{161} \DeclareMathSymbol{\px@ScrU}{\mathord}{letters}{162} \DeclareMathSymbol{\px@ScrV}{\mathord}{letters}{163} \DeclareMathSymbol{\px@ScrW}{\mathord}{letters}{164} \DeclareMathSymbol{\px@ScrX}{\mathord}{letters}{165} \DeclareMathSymbol{\px@ScrY}{\mathord}{letters}{166} \DeclareMathSymbol{\px@ScrZ}{\mathord}{letters}{167} \DeclareMathSymbol{\px@Scra}{\mathord}{letters}{168} \DeclareMathSymbol{\px@Scrb}{\mathord}{letters}{169} \DeclareMathSymbol{\px@Scrc}{\mathord}{letters}{170} \DeclareMathSymbol{\px@Scrd}{\mathord}{letters}{171} \DeclareMathSymbol{\px@Scre}{\mathord}{letters}{172} \DeclareMathSymbol{\px@Scrf}{\mathord}{letters}{173} \DeclareMathSymbol{\px@Scrg}{\mathord}{letters}{174} \DeclareMathSymbol{\px@Scrh}{\mathord}{letters}{175} \DeclareMathSymbol{\px@Scri}{\mathord}{letters}{176} \DeclareMathSymbol{\px@Scrj}{\mathord}{letters}{177} \DeclareMathSymbol{\px@Scrk}{\mathord}{letters}{178} \DeclareMathSymbol{\px@Scrl}{\mathord}{letters}{179} \DeclareMathSymbol{\px@Scrm}{\mathord}{letters}{180} \DeclareMathSymbol{\px@Scrn}{\mathord}{letters}{181} \DeclareMathSymbol{\px@Scro}{\mathord}{letters}{182} \DeclareMathSymbol{\px@Scrp}{\mathord}{letters}{183} \DeclareMathSymbol{\px@Scrq}{\mathord}{letters}{184} \DeclareMathSymbol{\px@Scrr}{\mathord}{letters}{185} \DeclareMathSymbol{\px@Scrs}{\mathord}{letters}{186} \DeclareMathSymbol{\px@Scrt}{\mathord}{letters}{187} \DeclareMathSymbol{\px@Scru}{\mathord}{letters}{188} \DeclareMathSymbol{\px@Scrv}{\mathord}{letters}{189} \DeclareMathSymbol{\px@Scrw}{\mathord}{letters}{190} \DeclareMathSymbol{\px@Scrx}{\mathord}{letters}{191} \DeclareMathSymbol{\px@Scry}{\mathord}{letters}{192} \DeclareMathSymbol{\px@Scrz}{\mathord}{letters}{193} \DeclareMathSymbol{\px@Scrimath}{\mathord}{letters}{194} \DeclareMathSymbol{\px@Scrjmath}{\mathord}{letters}{195} \DeclareMathSymbol{\px@UScrA}{\mathord}{letters}{196} \DeclareMathSymbol{\px@UScrB}{\mathord}{letters}{197} \DeclareMathSymbol{\px@UScrC}{\mathord}{letters}{198} \DeclareMathSymbol{\px@UScrD}{\mathord}{letters}{199} \DeclareMathSymbol{\px@UScrE}{\mathord}{letters}{200} \DeclareMathSymbol{\px@UScrF}{\mathord}{letters}{201} \DeclareMathSymbol{\px@UScrG}{\mathord}{letters}{202} \DeclareMathSymbol{\px@UScrH}{\mathord}{letters}{203} \DeclareMathSymbol{\px@UScrI}{\mathord}{letters}{204} \DeclareMathSymbol{\px@UScrJ}{\mathord}{letters}{205} \DeclareMathSymbol{\px@UScrK}{\mathord}{letters}{206} \DeclareMathSymbol{\px@UScrL}{\mathord}{letters}{207} \DeclareMathSymbol{\px@UScrM}{\mathord}{letters}{208} \DeclareMathSymbol{\px@UScrN}{\mathord}{letters}{209} \DeclareMathSymbol{\px@UScrO}{\mathord}{letters}{210} \DeclareMathSymbol{\px@UScrP}{\mathord}{letters}{211} \DeclareMathSymbol{\px@UScrQ}{\mathord}{letters}{212} \DeclareMathSymbol{\px@UScrR}{\mathord}{letters}{213} \DeclareMathSymbol{\px@UScrS}{\mathord}{letters}{214} \DeclareMathSymbol{\px@UScrT}{\mathord}{letters}{215} \DeclareMathSymbol{\px@UScrU}{\mathord}{letters}{216} \DeclareMathSymbol{\px@UScrV}{\mathord}{letters}{217} \DeclareMathSymbol{\px@UScrW}{\mathord}{letters}{218} \DeclareMathSymbol{\px@UScrX}{\mathord}{letters}{219} \DeclareMathSymbol{\px@UScrY}{\mathord}{letters}{220} \DeclareMathSymbol{\px@UScrZ}{\mathord}{letters}{221} \DeclareMathSymbol{\px@UScra}{\mathord}{letters}{222} \DeclareMathSymbol{\px@UScrb}{\mathord}{letters}{223} \DeclareMathSymbol{\px@UScrc}{\mathord}{letters}{224} \DeclareMathSymbol{\px@UScrd}{\mathord}{letters}{225} \DeclareMathSymbol{\px@UScre}{\mathord}{letters}{226} \DeclareMathSymbol{\px@UScrf}{\mathord}{letters}{227} \DeclareMathSymbol{\px@UScrg}{\mathord}{letters}{228} \DeclareMathSymbol{\px@UScrh}{\mathord}{letters}{229} \DeclareMathSymbol{\px@UScri}{\mathord}{letters}{230} \DeclareMathSymbol{\px@UScrj}{\mathord}{letters}{231} \DeclareMathSymbol{\px@UScrk}{\mathord}{letters}{232} \DeclareMathSymbol{\px@UScrl}{\mathord}{letters}{233} \DeclareMathSymbol{\px@UScrm}{\mathord}{letters}{234} \DeclareMathSymbol{\px@UScrn}{\mathord}{letters}{235} \DeclareMathSymbol{\px@UScro}{\mathord}{letters}{236} \DeclareMathSymbol{\px@UScrp}{\mathord}{letters}{237} \DeclareMathSymbol{\px@UScrq}{\mathord}{letters}{238} \DeclareMathSymbol{\px@UScrr}{\mathord}{letters}{239} \DeclareMathSymbol{\px@UScrs}{\mathord}{letters}{240} \DeclareMathSymbol{\px@UScrt}{\mathord}{letters}{241} \DeclareMathSymbol{\px@UScru}{\mathord}{letters}{242} \DeclareMathSymbol{\px@UScrv}{\mathord}{letters}{243} \DeclareMathSymbol{\px@UScrw}{\mathord}{letters}{244} \DeclareMathSymbol{\px@UScrx}{\mathord}{letters}{245} \DeclareMathSymbol{\px@UScry}{\mathord}{letters}{246} \DeclareMathSymbol{\px@UScrz}{\mathord}{letters}{247} \DeclareMathSymbol{\px@UScrimath}{\mathord}{letters}{248} \DeclareMathSymbol{\px@UScrjmath}{\mathord}{letters}{249} \def\npx@@scr#1#2\@nil{% \ifiscseq{#1}{\ifcsdef{px@Scr\@xp\@gobble\string#1}{\csname px@Scr\@xp\@gobble\string#1\endcsname}{#1}}{%not a cs \csname px@Scr#1\endcsname} \ifblank{#2}{\relax}{\npx@@scr #2\@nil}} \DeclareRobustCommand*{\mathslscr}[1]{\npx@@scr #1\@nil} \def\npx@@uscr#1#2\@nil{% \ifiscseq{#1}{\ifcsdef{px@UScr\@xp\@gobble\string#1}{\csname px@UScr\@xp\@gobble\string#1\endcsname}{#1}}{%not a cs \csname px@UScr#1\endcsname} \ifblank{#2}{\relax}{\npx@@uscr #2\@nil}} \DeclareRobustCommand*{\mathuscr}[1]{\npx@@uscr #1\@nil} \ifpx@upscr \let\mathscr=\mathuscr \DeclareMathSymbol{\imathscr}{\mathord}{letters}{248} \DeclareMathSymbol{\jmathscr}{\mathord}{letters}{249} \else \let\mathscr=\mathslscr \DeclareMathSymbol{\imathscr}{\mathord}{letters}{194} \DeclareMathSymbol{\jmathscr}{\mathord}{letters}{195} \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} \DeclareMathSymbol{\smallprod}{\mathop}{symbols}{"98} \DeclareMathSymbol{\smallsum}{\mathop}{symbols}{"99} \DeclareMathSymbol{\smallcoprod}{\mathop}{symbols}{113}% % %\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 % \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 \nopxXX; %%% if \nXXX is defined, \not\XXX becomes \nXXX; %%% otherwise, \not\XXX is done in the usual way. \DeclareMathSymbol{\n@tch@r}{\mathrel}{symbols}{54} \@namedef{not=}{\ne} \@namedef{not>}{\ngtr} \@namedef{not<}{\nless} \DeclareRobustCommand*{\not}[1]{% \begingroup \escapechar\m@ne\xdef\@gtempa{not\string#1}\endgroup \@ifundefined{\@gtempa}% {\not@n@{#1}}% {\@nameuse{\@gtempa}}} \def\not@n@#1{% \begingroup \escapechar\m@ne\xdef\@gtempa{n\string#1}\endgroup \@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{AMSm} \pxf@ntname{boldAMSm} \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{***}} %%%%%%% Additional pdf to unicode values not in Ross Moore's collection % Conditional needed for engines other than pdflatex \ifx\pdfglyphtounicode\@undefined \else \pdfglyphtounicode{nPerp}{2AEB 2215}% .. .. \pdfglyphtounicode{periodcentered.B}{00B7} \pdfglyphtounicode{periodcentered.BB}{22C5} \pdfglyphtounicode{openbullet.S}{25CB} \pdfglyphtounicode{bullet.S}{25C5} \pdfglyphtounicode{bullet.SS}{2022} \pdfglyphtounicode{bullet.SSS}{2219} \pdfglyphtounicode{emptyset.alt1}{2300} \pdfglyphtounicode{emptyset.alt2}{2205} \pdfglyphtounicode{transpose}{1D40} \pdfglyphtounicode{hermitconj}{22B9} \fi % For users of older newpxmath \AtBeginDocument{% \providecommand*\Coloneqq{\Coloneq} \providecommand*\Eqqcolon{\Eqcolon} \providecommand*\Coloneq{\Colondash} \providecommand*\Eqcolon{\Dashcolon}} % Fix for use with siunitx and option noOT1 \ifpx@nootone% \AtEndPreamble{% \@ifpackageloaded{siunitx} {\DeclareSIUnit\ohm{\text{\ensuremath\upOmega}}}{}} \fi \endinput