%%
%% This is file `mtpro2.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% mtpro2.dtx  (with options: `mtpro')
%% 
%% Copyright 1996 1997 Frank Mittelbach and David Carlisle.
%% Copyright 2001--2009 Frank Mittelbach, David Carlisle, Walter Schmidt, Mike Spivak
\NeedsTeXFormat{LaTeX2e}[1997/06/01]
\ProvidesPackage{mtpro2}
 [2009/4/27 v2.3
 MathTimePro II - added arc accents
 MathTimePro II - fixed rbrace problem with straightbraces and morphedbraces options
 MathTimePro II - fix bug with z = \backslash widetilde{\backslash sum_{x }}%
 MathTimePro II v2 font support (PCTeX/WaS)%
 MathTimePro II v2.1a  Allowed alternate form of I in Math Script Fonts (MS)%
]
\newif\ifmtp@full
\DeclareOption{complete}{\mtp@fulltrue}
\DeclareOption{lite}{\mtp@fullfalse\mtp@amsfalse}
\def\mtp@opterr{%
  \PackageError{mtpro2}%
  {Option \CurrentOption\space cannot be used\MessageBreak
  together with the option `lite'}%
  {Remove the option `lite' or make sure that the complete MT-Pro font set is provided.}
}
\newif\ifmtp@ams
\DeclareOption{noamssymbols}{\mtp@amsfalse}
\DeclareOption{amssymbols}{\ifmtp@full\mtp@amstrue\else\mtp@opterr\fi}
\DeclareOption{uprightGreek}{\let\Gamma=u}
\DeclareOption{slantedGreek}{\let\Gamma=s}
\newif\ifmtp@slops
\DeclareOption{uprightoperators}{\mtp@slopsfalse}
\DeclareOption{slantedoperators}{\mtp@slopstrue}
\newcommand\enablesubscriptcorrection {\catcode`\_=12\relax}
\newcommand\disablesubscriptcorrection{\catcode`\_=8\relax}
\DeclareOption{nosubscriptcorrection}{\disablesubscriptcorrection}
\DeclareOption{subscriptcorrection}  {\enablesubscriptcorrection}
\DeclareOption{zswash}{\mathcode `z="8000}
\DeclareOption{nozswash}{\mathcode `z="717A}
\DeclareOption{curlybraces}{\let\mtp@br=c}
\DeclareOption{straightbraces}{\let\mtp@br=s}
\DeclareOption{morphedbraces}{\let\mtp@br=m}
\DeclareOption{cmcal}    {\let\mathcal=c}
\DeclareOption{lucidacal}{\let\mathcal=l}
\DeclareOption{eucal}    {\let\mathcal=e}
\DeclareOption{mtpluscal}{\let\mathcal=s}
\DeclareOption{mtpcal}   {\ifmtp@full\let\mathcal=a\else\mtp@opterr\fi}
\DeclareOption{mtpccal}  {\ifmtp@full\let\mathcal=u\else\mtp@opterr\fi}
\DeclareOption{lucidascr}{\let\mathscr=l}
\DeclareOption{mtplusscr}{\let\mathscr=s}
\DeclareOption{mtpscr}   {\ifmtp@full\let\mathscr=a\else\mtp@opterr\fi}
\DeclareOption{eufrak}   {\let\mathfrak=e}
\DeclareOption{mtpfrak}  {\ifmtp@full\let\mathfrak=a\else\mtp@opterr\fi}
\newif\ifmtp@greekalpha\mtp@greekalphatrue
\DeclareOption{compatiblegreek}{\mtp@greekalphafalse}
\DeclareOption{amsbb}{\let\mathbb=y}
\DeclareOption{mtpbb}{\let\mathbb=b}
\DeclareOption{mtpbbd}{\let\mathbb=d}
\DeclareOption{mtphrb}{\let\mathbb=h}
\DeclareOption{mtphrd}{\let\mathbb=k}
\DeclareOption{mtpbbi}{\let\mathbb=i}
\DeclareOption{mtphbi}{\let\mathbb=j}
\DeclareOption{errorshow}{%
   \def\@font@info#1{%
         \GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
                     {LaTeX Font Info: \space\space\space#1}}%
    \def\@font@warning#1{%
         \GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
                        {LaTeX Font Warning: #1}}}
\DeclareOption{warningshow}{%
   \def\@font@info#1{%
         \GenericInfo{(Font)\@spaces\@spaces\@spaces\space\space}%
                     {LaTeX Font Info: \space\space\space#1}}%
    \def\@font@warning#1{%
         \GenericWarning{(Font)\@spaces\@spaces\@spaces\space\space}%
                        {LaTeX Font Warning: #1}}}
\DeclareOption{nofontinfo}{%
   \let\@font@info\@gobble
   \let\@font@warning\@gobble}
\ExecuteOptions{%
  complete,amssymbols,uprightGreek,uprightoperators,nosubscriptcorrection,curlybraces,cmcal,errorshow}
\ProcessOptions
\normalfont
\ifmtp@full
\DeclareMathVersion{heavy}
\newcommand\heavymath{\@nomath\heavymath\mathversion{heavy}}
\fi
\DeclareFontEncoding{LMP1}{}{}
\DeclareFontSubstitution{LMP1}{mtt}{m}{it}
\DeclareFontFamily{LMP1}{mtt}{\skewchar\font45}
\DeclareFontShape{LMP1}{mtt}{m}{it}{<-7> mt2mif <7-9> mt2mis <9-> mt2mit}{}
\DeclareFontShape{LMP1}{mtt}{b}{it}{<-7> mt2bmif <7-9> mt2bmis <9-> mt2bmit}{}
\DeclareFontEncoding{LMP2}{}{}
\DeclareFontSubstitution{LMP2}{mtt}{m}{n}
\DeclareFontFamily{LMP2}{mtt}{\skewchar\font48}
\DeclareFontShape{LMP2}{mtt}{m}{n}{<-7> mt2syf <7-9> mt2sys <9-> mt2syt}{\skewchar\font32}
\DeclareFontShape{LMP2}{mtt}{b}{n}{<-7> mt2bsyf <7-9> mt2bsys <9-> mt2bsyt}{\skewchar\font32}
\DeclareFontShape{LMP2}{mtt}{eb}{n}{<-7> mt2hsyf <7-9> mt2hsys <9-> mt2hsyt}{\skewchar\font32}
\DeclareFontEncoding{LMP3}{}{}
\DeclareFontSubstitution{LMP3}{mtt}{m}{n}
\DeclareFontFamily{LMP3}{mtt}{}
\DeclareFontShape{LMP3}{mtt}{m}{n}{<->mt2exa}{}
\DeclareFontShape{LMP3}{mtt}{b}{n}{<->mt2bexa}{}
\DeclareFontShape{LMP3}{mtt}{eb}{n}{<->mt2hexa}{}
\DeclareFontFamily{U}{mtt}{\skewchar\font32}
\DeclareFontShape{U}{mtt}{b}{n}{<-7> mt2mbf <7-9> mt2mbs <9-> mt2mbt}{}% (MJ)
\DeclareSymbolFont{operators}   {\encodingdefault}{\rmdefault}{m}{n}
\DeclareSymbolFont{letters}     {LMP1}{mtt}{m}{it}
\DeclareSymbolFont{symbols}     {LMP2}{mtt}{m}{n}
\DeclareSymbolFont{largesymbols}{LMP3}{mtt}{m}{n}
\ifmtp@full
\SetSymbolFont{operators}   {bold}{\encodingdefault}{\rmdefault}{b}{n}
\SetSymbolFont{letters}     {bold}{LMP1}{mtt}{b}{it}
\SetSymbolFont{symbols}     {bold}{LMP2}{mtt}{b}{n}
\SetSymbolFont{largesymbols}{bold}{LMP3}{mtt}{b}{n}
\SetSymbolFont{symbols}     {heavy}{LMP2}{mtt}{eb}{n}
\SetSymbolFont{largesymbols}{heavy}{LMP3}{mtt}{eb}{n}
\DeclareFontFamily{U}{mt2sya}{}%
\DeclareFontShape{U}{mt2sya}{m}{n}{<-7>mt2syaf<7-9>mt2syas<9->mt2syat}{}%
\DeclareFontShape{U}{mt2sya}{b}{n}{<-7>mt2bsyaf<7-9>mt2bsyas<9->mt2bsyat}{}%
\DeclareFontShape{U}{mt2sya}{eb}{n}{<-7>mt2hsyaf<7-9>mt2hsyas<9->mt2hsyat}{}%
\fi
\normalsize
\dimen@\f@size pt
\edef\tMTPsize{\f@size pt}
\font\MTEXA@=mt2exa at \the\dimen@
\font\MTXL@=mt2xl at \the\dimen@
\multiply\dimen@\tw@
\font\MTEXE@=mt2exe at \the\dimen@
\font\MTXXXL@=mt2xxxl at \the\dimen@
\multiply\dimen@\tw@
\font\MTEXF@=mt2exf at \the\dimen@
\multiply\dimen@\tw@
\font\MTEXG@=mt2exg at \the\dimen@
\alloc@0\count\countdef\insc@unt\pointcount@
\def\getpoints@#1.#2\getpoints@{\pointcount@#1\relax}
\DeclareMathAlphabet{\mathbf}{\encodingdefault}{\rmdefault}{b}{n}
\DeclareMathAlphabet{\mathit}{\encodingdefault}{\rmdefault}{m}{it}
\DeclareMathAlphabet{\mathsf}{\encodingdefault}{\sfdefault}{m}{n}
\DeclareMathAlphabet{\mathtt}{\encodingdefault}{\ttdefault}{m}{n}
\SetMathAlphabet{\mathit}{bold}{\encodingdefault}{\rmdefault}{b}{it}
\SetMathAlphabet{\mathsf}{bold}{\encodingdefault}{\sfdefault}{b}{n}
\SetMathAlphabet{\mathtt}{bold}{\encodingdefault}{\ttdefault}{b}{n}
\DeclareMathAlphabet{\mbf}{U}{mtt}{b}{n}
\DeclareMathAlphabet{\mathbold}{LMP1}{mtt}{b}{it}
\ifx\mathscr s
  \let\mathscr\relax
  \DeclareMathAlphabet{\mathscr}       {U}{mtms}{m}{n}
  \SetMathAlphabet    {\mathscr} {bold}{U}{mtms}{b}{n}
  \DeclareMathAlphabet{\mathbscr}      {U}{mtms}{b}{n}
\fi
\ifx\mathscr l
  \let\mathscr\relax
  \DeclareMathAlphabet{\mathscr}  {OMS}{lbm}{m}{n}
  \SetMathAlphabet{\mathscr}{bold}{OMS}{lbm}{b}{n}
  \DeclareMathAlphabet{\mathbscr} {OMS}{lbm}{b}{n}
\fi
\ifx\mathscr a
  \let\mathscr\relax
  \DeclareRobustCommand*{\mathscr}[1]{{\MTPsetupScript\MTPScript{#1}}}
  \DeclareRobustCommand*{\mathbscr}[1]{{\MTPsetupScript\MTPbScript{#1}}}
\fi
\ifx\mathcal l
  \let\mathcal\relax
  \DeclareMathAlphabet{\mathcal}  {OMS}{lbm}{m}{n}
  \SetMathAlphabet{\mathcal}{bold}{OMS}{lbm}{b}{n}
  \DeclareMathAlphabet{\mathbcal} {OMS}{lbm}{b}{n}
\fi
\ifx\mathcal s
  \let\mathcal\relax
  \DeclareMathAlphabet{\mathcal}  {U}{mtms}{m}{n}
  \SetMathAlphabet{\mathcal}{bold}{U}{mtms}{b}{n}
  \DeclareMathAlphabet{\mathbcal} {U}{mtms}{b}{n}
\fi
\ifx\mathcal e
  \let\mathcal\relax
  \DeclareFontFamily{U}{eus}{\skewchar\font'60}
  \DeclareFontShape{U}{eus}{m}{n}{<-7>eusm5<7-9>eusm7<9->eusm10}{}
  \DeclareFontShape{U}{eus}{b}{n}{<-7>eusb5<7-9>eusb7<9->eusb10}{}
  \DeclareMathAlphabet{\mathcal}  {U}{eus}{m}{n}
  \SetMathAlphabet{\mathcal}{bold}{U}{eus}{b}{n}
  \DeclareMathAlphabet{\mathbcal} {U}{eus}{b}{n}
\fi
\ifx\mathcal c
  \let\mathcal\relax
  \DeclareMathAlphabet{\mathcal}  {OMS}{cmsy}{m}{n}
  \SetMathAlphabet{\mathcal}{bold}{OMS}{cmsy}{b}{n}
  \DeclareMathAlphabet{\mathbcal} {OMS}{cmsy}{b}{n}
\fi
\ifx\mathcal a
  \let\mathcal\relax
  \DeclareRobustCommand*{\mathcal}[1]{{\MTPsetupScript\MTPScript{#1}}}
  \DeclareRobustCommand*{\mathbcal}[1]{{\MTPsetupScript\MTPbScript{#1}}}
\fi
\ifx\mathcal u
  \let\mathcal\relax
  \DeclareRobustCommand*{\mathcal}[1]{{\MTPsetupCurly\MTPCurly{#1}}}
  \def\mathbcal{\PackageError{mtpro2}
    {There is no bold variant of the Curly font}
    {Type <return> to proceed; \protect\mathbcal\space will be ignored.}
  }
\fi
\ifx\mathfrak e
  \let\mathfrak\relax
  \DeclareFontFamily{U}{euf}{}%
  \DeclareFontShape{U}{euf}{m}{n}{<-7>eufm5<7-9>eufm7<9->eufm10}{}%
  \DeclareFontShape{U}{euf}{b}{n}{<-7>eufb5<7-9>eufb7<9->eufb10}{}%
  \DeclareMathAlphabet{\mathfrak}{U}{euf}{m}{n}
  \SetMathAlphabet{\mathfrak}{bold}{U}{euf}{b}{n}
\fi
\ifx\mathfrak a
  \DeclareRobustCommand*{\mathfrak}[1]{{\MTPsetupFrak\MTPFrak{#1}}}
\fi
\ifmtp@full
\DeclareMathSymbol{\imath}{\mathalpha}{letters}{"7B}
\DeclareMathSymbol{\jmath}{\mathalpha}{letters}{"7C}
\newcommand{\altC}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altC}C}
\newcommand{\altG}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altG}G}
\newcommand{\altI}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altI}I}
\newcommand{\altL}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altL}L}
\newcommand{\altM}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altM}M}
\newcommand{\altN}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altN}N}
\newcommand{\altQ}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altQ}Q}
\newcommand{\altS}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altS}S}
\newcommand{\altY}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altY}Y}
\newcommand{\altZ}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altZ}Z}
\newcommand{\altr}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altr}r}
\newcommand{\altx}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altx}x}
\newcommand{\alty}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\alty}y}
\newcommand{\altz}{%
  \PackageWarning{mtpro2}{Invalid use of \protect\altz}z}
\newcommand{\MTPsetupScript}{%
  \let\altC=\MTP@C
  \let\altG=\MTP@G
  \let\altI=\MTP@I
  \let\altL=\MTP@L
  \let\altQ=\MTP@Q
  \let\altS=\MTP@S
  \let\altY=\MTP@Y
  \let\altZ=\MTP@Z
  \let\altr=\MTP@r
  \let\altz=\MTP@z}
\newcommand{\MTPsetupFrak}{%
  \let\altY=\MTP@Y
  \let\altx=\MTP@x
  \let\alty=\MTP@y}
\newcommand{\MTPsetupCurly}{%
  \let\altG=\MTP@G
  \let\altM=\MTP@M
  \let\altN=\MTP@N
  \let\altQ=\MTP@Q
  \let\altY=\MTP@Y}
\DeclareMathSymbol{\MTP@C}{\mathalpha}{letters}{'003}
\DeclareMathSymbol{\MTP@G}{\mathalpha}{letters}{'007}
\DeclareMathSymbol{\MTP@I}{\mathalpha}{letters}{'011}
\DeclareMathSymbol{\MTP@L}{\mathalpha}{letters}{'014}
\DeclareMathSymbol{\MTP@M}{\mathalpha}{letters}{'015}
\DeclareMathSymbol{\MTP@N}{\mathalpha}{letters}{'016}
\DeclareMathSymbol{\MTP@Q}{\mathalpha}{letters}{'021}
\DeclareMathSymbol{\MTP@S}{\mathalpha}{letters}{'023}
\DeclareMathSymbol{\MTP@Y}{\mathalpha}{letters}{'031}
\DeclareMathSymbol{\MTP@Z}{\mathalpha}{letters}{'032}
\DeclareMathSymbol{\MTP@r}{\mathalpha}{letters}{'062}
\DeclareMathSymbol{\MTP@x}{\mathalpha}{letters}{'070}
\DeclareMathSymbol{\MTP@y}{\mathalpha}{letters}{'071}
\DeclareMathSymbol{\MTP@z}{\mathalpha}{letters}{'072}
\DeclareMathAlphabet{\MTPScript}  {U}{mt2ms}{m}{it}
\SetMathAlphabet{\MTPScript}{bold}{U}{mt2ms}{b}{it}
\DeclareMathAlphabet{\MTPbScript} {U}{mt2ms}{b}{it}
\DeclareMathAlphabet{\MTPCurly}{U}{mt2ms}{m}{n}
\DeclareMathAlphabet{\MTPFrak}  {U}{mt2mf}{m}{n}
\SetMathAlphabet{\MTPFrak}{bold}{U}{mt2mf}{b}{n}
\fi
\ifx\mathbb i
  \let\mathbb\relax
  \DeclareMathAlphabet{\mathbb}  {U}{mt2bb}{m}{it}
\fi
\ifx\mathbb j
  \let\mathbb\relax
  \DeclareMathAlphabet{\mathbb}  {U}{mt2hrb}{m}{it}
\fi
\ifx\mathbb b
  \let\mathbb\relax
  \DeclareMathAlphabet{\mathbb}  {U}{mt2bb}{m}{n}
  \SetMathAlphabet{\mathbb}{bold}{U}{mt2bb}{b}{n}
\fi
\ifx\mathbb d
  \let\mathbb\relax
  \DeclareMathAlphabet{\mathbb}  {U}{mt2bb}{b}{n}
\fi
\ifx\mathbb h
  \let\mathbb\relax
  \DeclareMathAlphabet{\mathbb}  {U}{mt2hrb}{m}{n}
  \SetMathAlphabet{\mathbb}{bold}{U}{mt2hrb}{b}{n}
\fi
\ifx\mathbb k
  \let\mathbb\relax
  \DeclareMathAlphabet{\mathbb}   {U}{mt2hrb}{b}{n}
\fi
\ifx\mathbb y
  \let\mathbb\relax
  \DeclareFontFamily{U}{msb}{}%
  \DeclareFontShape{U}{msb}{m}{n}{<-7>msbm5<7-9>msbm7<9->msbm10}{}%
  \DeclareMathAlphabet{\mathbb}{U}{msb}{m}{n}
\fi
\DeclareMathSymbol{0}{\mathalpha}{letters}{"30}
\DeclareMathSymbol{1}{\mathalpha}{letters}{"31}
\DeclareMathSymbol{2}{\mathalpha}{letters}{"32}
\DeclareMathSymbol{3}{\mathalpha}{letters}{"33}
\DeclareMathSymbol{4}{\mathalpha}{letters}{"34}
\DeclareMathSymbol{5}{\mathalpha}{letters}{"35}
\DeclareMathSymbol{6}{\mathalpha}{letters}{"36}
\DeclareMathSymbol{7}{\mathalpha}{letters}{"37}
\DeclareMathSymbol{8}{\mathalpha}{letters}{"38}
\DeclareMathSymbol{9}{\mathalpha}{letters}{"39}
\DeclareMathSymbol{!}{\mathclose}{letters}{"8A}
\DeclareMathSymbol{+}{\mathbin}{symbols}{67}
\DeclareMathSymbol{:}{\mathrel}{symbols}{"57}
\DeclareMathSymbol{;}{\mathpunct}{symbols}{"49}
\DeclareMathSymbol{?}{\mathclose}{letters}{"8B}
\DeclareMathSymbol{=}{\mathrel}{symbols}{"44}
\DeclareMathDelimiter{(}{\mathopen}{letters}{46}{largesymbols}{0}
\DeclareMathDelimiter{)}{\mathclose}{letters}{47}{largesymbols}{1}
\DeclareMathDelimiter{[}{\mathopen} {letters}{140}{largesymbols}{"02}
\DeclareMathDelimiter{]}{\mathclose}{letters}{141}{largesymbols}{"03}
\DeclareMathDelimiter{/}{\mathord}{letters}{"3D}{largesymbols}{"0E}
\ifmtp@greekalpha
  \DeclareMathSymbol{\alpha}{\mathalpha}{letters}{"0B}
  \DeclareMathSymbol{\beta}{\mathalpha}{letters}{"0C}
  \DeclareMathSymbol{\gamma}{\mathalpha}{letters}{"0D}
  \DeclareMathSymbol{\delta}{\mathalpha}{letters}{"0E}
  \DeclareMathSymbol{\epsilon}{\mathalpha}{letters}{"0F}
  \DeclareMathSymbol{\zeta}{\mathalpha}{letters}{"10}
  \DeclareMathSymbol{\eta}{\mathalpha}{letters}{"11}
  \DeclareMathSymbol{\theta}{\mathalpha}{letters}{"12}
  \DeclareMathSymbol{\iota}{\mathalpha}{letters}{"13}
  \DeclareMathSymbol{\kappa}{\mathalpha}{letters}{"14}
  \DeclareMathSymbol{\lambda}{\mathalpha}{letters}{"15}
  \DeclareMathSymbol{\mu}{\mathalpha}{letters}{"16}
  \DeclareMathSymbol{\nu}{\mathalpha}{letters}{"17}
  \DeclareMathSymbol{\xi}{\mathalpha}{letters}{"18}
  \DeclareMathSymbol{\pi}{\mathalpha}{letters}{"19}
  \DeclareMathSymbol{\rho}{\mathalpha}{letters}{"1A}
  \DeclareMathSymbol{\sigma}{\mathalpha}{letters}{"1B}
  \DeclareMathSymbol{\tau}{\mathalpha}{letters}{"1C}
  \DeclareMathSymbol{\upsilon}{\mathalpha}{letters}{"1D}
  \DeclareMathSymbol{\phi}{\mathalpha}{letters}{"1E}
  \DeclareMathSymbol{\chi}{\mathalpha}{letters}{"1F}
  \DeclareMathSymbol{\psi}{\mathalpha}{letters}{"20}
  \DeclareMathSymbol{\omega}{\mathalpha}{letters}{"21}
  \DeclareMathSymbol{\varepsilon}{\mathalpha}{letters}{"22}
  \DeclareMathSymbol{\vartheta}{\mathalpha}{letters}{"23}
  \DeclareMathSymbol{\varpi}{\mathalpha}{letters}{"24}
  \DeclareMathSymbol{\varrho}{\mathalpha}{letters}{"25}
  \DeclareMathSymbol{\varsigma}{\mathalpha}{letters}{"26}
  \DeclareMathSymbol{\varphi}{\mathalpha}{letters}{"27}
  \DeclareMathSymbol{\varkappa}{\mathalpha}{letters}{126}% new
  \DeclareMathSymbol{\varbeta}{\mathalpha}{letters}{176} % new
  \DeclareMathSymbol{\vardelta}{\mathalpha}{letters}{178}% new
\else
  \DeclareMathSymbol{\varkappa}{\mathord}{letters}{126}% new
  \DeclareMathSymbol{\varbeta}{\mathord}{letters}{176} % new
  \DeclareMathSymbol{\vardelta}{\mathord}{letters}{178}% new
\fi
\ifx\Gamma s
  \let\Gamma\@undefined
  \DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"00}
  \DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"01}
  \DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"02}
  \DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"03}
  \DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"04}
  \DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"05}
  \DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"06}
  \DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}
  \DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"08}
  \DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"09}
  \DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"0A}
\else
  \let\Gamma\@undefined
  \DeclareMathSymbol{\Gamma}{\mathalpha}{letters}{"80}
  \DeclareMathSymbol{\Delta}{\mathalpha}{letters}{"81}
  \DeclareMathSymbol{\Theta}{\mathalpha}{letters}{"82}
  \DeclareMathSymbol{\Lambda}{\mathalpha}{letters}{"83}
  \DeclareMathSymbol{\Xi}{\mathalpha}{letters}{"84}
  \DeclareMathSymbol{\Pi}{\mathalpha}{letters}{"85}
  \DeclareMathSymbol{\Sigma}{\mathalpha}{letters}{"86}
  \DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"87}
  \DeclareMathSymbol{\Phi}{\mathalpha}{letters}{"88}
  \DeclareMathSymbol{\Psi}{\mathalpha}{letters}{"89}
  \DeclareMathSymbol{\Omega}{\mathalpha}{letters}{"7F}
\fi
 \DeclareMathSymbol{\upGamma}{\mathord}{letters}{"80}
 \DeclareMathSymbol{\upDelta}{\mathord}{letters}{"81}
 \DeclareMathSymbol{\upTheta}{\mathord}{letters}{"82}
 \DeclareMathSymbol{\upLambda}{\mathord}{letters}{"83}
 \DeclareMathSymbol{\upXi}{\mathord}{letters}{"84}
 \DeclareMathSymbol{\upPi}{\mathord}{letters}{"85}
 \DeclareMathSymbol{\upSigma}{\mathord}{letters}{"86}
 \DeclareMathSymbol{\upUpsilon}{\mathord}{letters}{"87}
 \DeclareMathSymbol{\upPhi}{\mathord}{letters}{"88}
 \DeclareMathSymbol{\upPsi}{\mathord}{letters}{"89}
 \DeclareMathSymbol{\upOmega}{\mathord}{letters}{"7F}
 \DeclareMathSymbol{\upalpha}{\mathord}{letters}{"92}
 \DeclareMathSymbol{\upbeta}{\mathord}{letters}{"93}
 \DeclareMathSymbol{\upgamma}{\mathord}{letters}{"94}
 \DeclareMathSymbol{\updelta}{\mathord}{letters}{"95}
 \DeclareMathSymbol{\upepsilon}{\mathord}{letters}{"96}
 \DeclareMathSymbol{\upzeta}{\mathord}{letters}{"97}
 \DeclareMathSymbol{\upeta}{\mathord}{letters}{"98}
 \DeclareMathSymbol{\uptheta}{\mathord}{letters}{"99}
 \DeclareMathSymbol{\upiota}{\mathord}{letters}{"9A}
 \DeclareMathSymbol{\upkappa}{\mathord}{letters}{"9B}
 \DeclareMathSymbol{\uplambda}{\mathord}{letters}{"9C}
 \DeclareMathSymbol{\upmu}{\mathord}{letters}{"9D}
 \DeclareMathSymbol{\upnu}{\mathord}{letters}{"9E}
 \DeclareMathSymbol{\upxi}{\mathord}{letters}{"9F}
 \DeclareMathSymbol{\uppi}{\mathord}{letters}{160}
 \DeclareMathSymbol{\uprho}{\mathord}{letters}{161}
 \DeclareMathSymbol{\upsigma}{\mathord}{letters}{162}
 \DeclareMathSymbol{\uptau}{\mathord}{letters}{163}
 \DeclareMathSymbol{\upupsilon}{\mathord}{letters}{164}
 \DeclareMathSymbol{\upphi}{\mathord}{letters}{165}
 \DeclareMathSymbol{\upchi}{\mathord}{letters}{166}
 \DeclareMathSymbol{\uppsi}{\mathord}{letters}{167}
 \DeclareMathSymbol{\upomega}{\mathord}{letters}{168}
 \DeclareMathSymbol{\upvarepsilon}{\mathord}{letters}{169}
 \DeclareMathSymbol{\upvartheta}{\mathord}{letters}{170}
 \DeclareMathSymbol{\upvarpi}{\mathord}{letters}{171}
 \DeclareMathSymbol{\upvarrho}{\mathord}{letters}{172}
 \DeclareMathSymbol{\upvarsigma}{\mathord}{letters}{173}
 \DeclareMathSymbol{\upvarphi}{\mathord}{letters}{174}
 \DeclareMathSymbol{\upvarkappa}{\mathord}{letters}{175}
 \DeclareMathSymbol{\upvarbeta}{\mathord}{letters}{177}
 \DeclareMathSymbol{\upvardelta}{\mathord}{letters}{179}
\DeclareMathSymbol{\triangleleft}{\mathbin}{symbols}{"47}
\DeclareMathSymbol{\triangleright}{\mathbin}{symbols}{"46}
\DeclareMathSymbol{\ddagger}{\mathbin}{letters}{"8F}
\DeclareMathSymbol{\dagger}{\mathbin}{letters}{"8E}
\let\Relbar\@undefined
\DeclareMathSymbol{\Relbar}{\mathrel}{symbols}{"48}
\DeclareMathSymbol{\ldotp}{\mathpunct}{letters}{"3A}
\let\colon\@undefined % for amsmath!
\DeclareMathSymbol{\colon}{\mathpunct}{symbols}{"57}
\@ifpackageloaded{mathdots}{}{%
  \newcommand\hb@xmdot{\hbox{$\m@th.$}}
  \def\vdots{\vbox{\baselineskip4\p@ \lineskiplimit\z@
    \kern6\p@\hb@xmdot\hb@xmdot\hb@xmdot}}
  \def\ddots{\mathinner{\mkern1mu\raise7\p@\vbox{\kern7\p@
    \hb@xmdot}\mkern2mu
    \raise4\p@\hb@xmdot\mkern2mu\raise\p@\hb@xmdot\mkern1mu}}
}
\DeclareMathAccent{\vec}{\mathord}{symbols}{69}
\DeclareMathAccent{\grave}{\mathord}{symbols}{74}
\DeclareMathAccent{\acute}{\mathord}{symbols}{75}
\DeclareMathAccent{\check}{\mathord}{symbols}{76}
\DeclareMathAccent{\breve}{\mathord}{symbols}{77}
\DeclareMathAccent{\bar}{\mathord}{symbols}{78}
\DeclareMathAccent{\hat}{\mathord}{symbols}{79}
\DeclareMathAccent{\dot}{\mathord}{symbols}{80}
\DeclareMathAccent{\tilde}{\mathord}{symbols}{81}
\DeclareMathAccent{\ddot}{\mathord}{symbols}{82}
\DeclareMathAccent{\mathring}{\mathord}{symbols}{86}
\DeclareMathSymbol{\braceld}{\mathord}{largesymbols}{"82}
\DeclareMathSymbol{\bracerd}{\mathord}{largesymbols}{"83}
\DeclareMathSymbol{\bracelu}{\mathord}{largesymbols}{"84}
\DeclareMathSymbol{\braceru}{\mathord}{largesymbols}{"85}
\DeclareMathSymbol{\mathparagraph}{\mathord}{letters}{"91}
\DeclareMathSymbol{\mathsection}{\mathord}{letters}{"90}
\def\curlybraces{\def\lbrace{\delimiter"4266308 }\let\{=\lbrace
 \def\rbrace{\delimiter"5267309 }\let\}=\rbrace}
\def\straightbraces{\def\lbrace{\delimiter"42B93AE }\let\{=\lbrace
 \def\rbrace{\delimiter"52BA3AF }\let\}=\rbrace}
\def\morphedbraces{\def\lbrace{\delimiter"42663B6 }\let\{=\lbrace
 \def\rbrace{\delimiter"52673B7 }\let\}=\rbrace}
\let\lcbrace=\lbrace\let\rcbrace=\rbrace
\ifx\mtp@br c \curlybraces \fi
\ifx\mtp@br s \straightbraces \fi
\ifx\mtp@br m \morphedbraces \fi
\DeclareMathSymbol{\slsumop}{\mathop}{largesymbols}{160}
\DeclareMathSymbol{\slprodop}{\mathop}{largesymbols}{162}
\DeclareMathSymbol{\slcoprodop}{\mathop}{largesymbols}{164}
\DeclareMathSymbol{\upsumop}{\mathop}{largesymbols}{"50}
\DeclareMathSymbol{\upprodop}{\mathop}{largesymbols}{"51}
\DeclareMathSymbol{\upcoprodop}{\mathop}{largesymbols}{"60}
\let\slsum\empty
\let\slprod\empty
\let\slcoprod\empty
\let\upsum\empty
\let\upprod\empty
\let\upcoprod\empty
\DeclareMathSymbol{\openclubsuit}{\mathord}{symbols}{"80}
\DeclareMathSymbol{\shadedclubsuit}{\mathord}{symbols}{"81}
\DeclareMathSymbol{\openspadesuit}{\mathord}{symbols}{"82}
\DeclareMathSymbol{\shadedspadesuit}{\mathord}{symbols}{"83}
\DeclareMathSymbol{\hslash}{\mathord}{symbols}{175}
\DeclareMathSymbol{\digamma}{\mathord}{symbols}{177}
\DeclareMathSymbol{\dbar}{\mathord}{letters}{181}
\DeclareMathSymbol{\updbar}{\mathord}{letters}{182}
\DeclareMathSymbol{\comp}{\mathbin}{symbols}{66}
\DeclareMathSymbol{\setdif}{\mathbin}{symbols}{88}
\DeclareMathSymbol{\cupprod}{\mathbin}{symbols}{89}
\DeclareMathSymbol{\capprod}{\mathbin}{symbols}{90}
\DeclareMathSymbol{\simarrow}{\mathrel}{symbols}{176}
\DeclareMathSymbol{\varland}{\mathbin}{symbols}{178}
\DeclareMathSymbol{\contraction}{\mathbin}{symbols}{179}
\DeclareMathSymbol{\coloneq}{\mathrel}{symbols}{180}
\DeclareMathSymbol{\eqcolon}{\mathrel}{symbols}{181}
\DeclareMathSymbol{\hateq}{\mathrel}{symbols}{182}
\DeclareMathSymbol{\circdashbullet}{\mathrel}{symbols}{183}
\DeclareMathSymbol{\bulletdashcirc}{\mathrel}{symbols}{184}
\DeclareMathSymbol{\bigcupprod}{\mathop}{largesymbols}{"8E}
\DeclareMathSymbol{\bigcapprod}{\mathop}{largesymbols}{"90}
\DeclareMathSymbol{\bigvarland}{\mathop}{largesymbols}{166}
\DeclareMathSymbol{\bigast}{\mathop}{largesymbols}{168}
\DeclareMathAccent{\dotup}{\mathord}{symbols}{"54}
\DeclareMathAccent{\ddotup}{\mathord}{symbols}{"55}
\DeclareMathAccent{\dddotup}{\mathord}{symbols}{173}
\DeclareMathAccent{\ddddotup}{\mathord}{symbols}{174}
\let\oacc\mathring
\DeclareMathAccent{\what}  {\mathord}{symbols}{"79}
\DeclareMathAccent{\wtilde}{\mathord}{symbols}{"7A}
\DeclareMathAccent{\wcheck}{\mathord}{symbols}{"7B}
\DeclareMathAccent{\wbar}  {\mathord}{symbols}{"78}
\DeclareMathAccent{\wwhat}  {\mathord}{largesymbols}{"80}
\DeclareMathAccent{\wwtilde}{\mathord}{largesymbols}{"81}
\DeclareMathAccent{\wwcheck}{\mathord}{largesymbols}{"7D}
\DeclareMathAccent{\wwbar}  {\mathord}{symbols}     {"53}
\DeclareMathSymbol{\hbar}  {\mathord}{symbols}{"84}
\let\notin\@undefined
\DeclareMathSymbol{\notin} {\mathrel}{symbols}{"85}
\let\angle\@undefined
\DeclareMathSymbol{\angle} {\mathord}{symbols}{"86}
\let\models\@undefined
\DeclareMathSymbol{\models}{\mathrel}{symbols}{"88}
\let\bowtie\@undefined
\DeclareMathSymbol{\bowtie}{\mathrel}{symbols}{"89}
\let\cong\@undefined
\DeclareMathSymbol{\cong}  {\mathrel}{symbols}{"8A}
\let\Longleftrightarrow\@undefined
\DeclareMathSymbol{\Longleftrightarrow} {\mathrel}{symbols}{"94}
\let\rightleftharpoons\@undefined
\DeclareMathSymbol{\rightleftharpoons}  {\mathrel}{symbols}{"95}
\DeclareMathSymbol{\notless}          {\mathrel}{symbols}{"96}
\DeclareMathSymbol{\notleq}           {\mathrel}{symbols}{"97}
\DeclareMathSymbol{\notprec}          {\mathrel}{symbols}{"98}
\DeclareMathSymbol{\notpreceq}        {\mathrel}{symbols}{"99}
\DeclareMathSymbol{\notsubset}        {\mathrel}{symbols}{"9A}
\DeclareMathSymbol{\notsubseteq}      {\mathrel}{symbols}{"9B}
\DeclareMathSymbol{\notsqsubseteq}    {\mathrel}{symbols}{"9C}
\DeclareMathSymbol{\notgr}            {\mathrel}{symbols}{"9D}
\DeclareMathSymbol{\notgeq}           {\mathrel}{symbols}{"9E}
\DeclareMathSymbol{\notsucc}          {\mathrel}{symbols}{"9F}
\DeclareMathSymbol{\notsucceq}        {\mathrel}{symbols}{160}
\DeclareMathSymbol{\notsupset}        {\mathrel}{symbols}{161}
\DeclareMathSymbol{\notsupseteq}      {\mathrel}{symbols}{162}
\DeclareMathSymbol{\notsqsupseteq}    {\mathrel}{symbols}{163}
\let\neq\@undefined
\DeclareMathSymbol{\neq}              {\mathrel}{symbols}{164}
\let\ne=\neq
\DeclareMathSymbol{\notequiv}         {\mathrel}{symbols}{165}
\DeclareMathSymbol{\notsim}           {\mathrel}{symbols}{166}
\DeclareMathSymbol{\notsimeq}         {\mathrel}{symbols}{167}
\DeclareMathSymbol{\notapprox}        {\mathrel}{symbols}{168}
\DeclareMathSymbol{\notcong}          {\mathrel}{symbols}{169}
\DeclareMathSymbol{\notasymp}         {\mathrel}{symbols}{170}
\let\nless=\notless
\let\nleq=\notleq
\let\nprec=\notprec
\let\npreceq=\notpreceq
\let\nsubset=\notsubset
\let\nsubseteq=\notsubseteq
\let\nsqsubseteq=\notsqsubseteq
\let\ngtr=\notgr
\let\ngeq=\notgeq
\let\nsucc=\notsucc
\let\nsucceq=\notsucceq
\let\nsupset=\notsupset
\let\nsupseteq=\notsupseteq
\let\nsqsupseteq=\notsqsupseteq
\let\ncong=\notcong
\let\nasymp=\notasymp
\let\nequiv=\notequiv
\let\nsimeq=\notsimeq
\let\napprox=\notapprox
\@ifpackageloaded{amsmath}{}{%
  \let\doteq\@undefined
  \let\hookleftarrow\@undefined
  \let\hookrightarrow\@undefined
  \let\longleftarrow\@undefined
  \let\longrightarrow\@undefined
  \let\Longleftarrow\@undefined
  \let\Longrightarrow\@undefined
  \let\mapsto\@undefined
  \let\longmapsto\@undefined
  \let\longleftrightarrow\@undefined
  \DeclareMathSymbol{\doteq} {\mathrel}{symbols}{"87}
  \DeclareMathSymbol{\hookleftarrow} {\mathrel}{symbols}{"8B}
  \DeclareMathSymbol{\hookrightarrow}{\mathrel}{symbols}{"8C}
  \DeclareMathSymbol{\longleftarrow} {\mathrel}{symbols}{"8D}
  \DeclareMathSymbol{\longrightarrow}{\mathrel}{symbols}{"8E}
  \DeclareMathSymbol{\Longleftarrow} {\mathrel}{symbols}{"8F}
  \DeclareMathSymbol{\Longrightarrow}{\mathrel}{symbols}{"90}
  \DeclareMathSymbol{\mapsto}    {\mathrel}{symbols}{"91}
  \DeclareMathSymbol{\longmapsto}{\mathrel}{symbols}{"92}
  \DeclareMathSymbol{\longleftrightarrow} {\mathrel}{symbols}{"93}
}
\DeclareMathSymbol{\iintop}{\mathop}{largesymbols}{"92}
\DeclareMathSymbol{\iiintop}{\mathop}{largesymbols}{"94}
\DeclareMathSymbol{\oiintop}{\mathop}{largesymbols}{"96}
\DeclareMathSymbol{\oiiintop}{\mathop}{largesymbols}{"98}
\DeclareMathSymbol{\cwointop}{\mathop}{largesymbols}{"9A}
\DeclareMathSymbol{\awointop}{\mathop}{largesymbols}{"9C}
\DeclareMathSymbol{\cwintop}{\mathop}{largesymbols}{"9E}
\DeclareMathSymbol{\barintop}{\mathop}{largesymbols}{170}
\DeclareMathSymbol{\slashintop}{\mathop}{largesymbols}{172}
\let\oiint\empty
\let\oiiint\empty
\let\cwoint\empty
\let\awoint\empty
\let\cwint\empty
\let\barint\empty
\let\slashint\empty
\AtBeginDocument{%
  \@ifpackageloaded{amsmath}{%
     \let\Relbar\@undefined
     \DeclareMathSymbol{\Relbar}{\mathrel}{symbols}{"48}
     \def\accentclass@{0}
     \def\iint{\DOTSI\iintop\ilimits@}
     \def\iiint{\DOTSI\iiintop\ilimits@}
     \def\oiint{\DOTSI\oiintop\ilimits@}
     \def\oiiint{\DOTSI\oiiintop\ilimits@}
     \def\cwoint{\DOTSI\cwointop\ilimits@}
     \def\awoint{\DOTSI\awointop\ilimits@}
     \def\cwint{\DOTSI\cwintop\ilimits@}
     \def\barint{\DOTSI\barintop\ilimits@}
     \def\slashint{\DOTSI\slashintop\ilimits@}
     \gdef\slsum{\DOTSB\slsumop\slimits@}
     \gdef\slprod{\DOTSB\slprodop\slimits@}
     \gdef\slcoprod{\DOTSB\slcoprodop\slimits@}
     \gdef\upsum{\DOTSB\upsumop\slimits@}
     \gdef\upprod{\DOTSB\upprodop\slimits@}
     \gdef\upcoprod{\DOTSB\upcoprodop\slimits@}
  }{%
     \def\iint{\iintop\nolimits}
     \def\iiint{\iiintop\nolimits}
     \def\oiint{\oiintop\nolimits}
     \def\oiiint{\oiiintop\nolimits}
     \def\cwoint{\cwointop\nolimits}
     \def\awoint{\awointop\nolimits}
     \def\cwint{\cwintop\nolimits}
     \def\barint{\barintop\nolimits}
     \def\slashint{\slashintop\nolimits}
     \let\slsum\slsumop\let\slprod\slprodop\let\slcoprod\slcoprodop
     \let\upsum\upsumop\let\upprod\upprodop\let\upcoprod\upcoprodop
\newdimen\big@size
\addto@hook\every@math@size{\setbox\z@\vbox{\hbox{$($}\kern\z@}%
   \global\big@size 1.2\ht\z@}
\def\bBigg@#1#2{%
   {\hbox{$\left#2\vcenter to#1\big@size{}\right.\n@space$}}}
\def\big{\bBigg@\@ne}
\def\Big{\bBigg@{1.5}}
\def\bigg{\bBigg@\tw@}
\def\Bigg{\bBigg@{2.5}}
  }%
     \ifmtp@slops
        \let\sum\slsum\let\prod\slprod\let\coprod\slcoprod
     \else
        \let\sum\upsum\let\prod\upprod\let\coprod\upcoprod
     \fi
  \let\dddot\@undefined\let\ddddot\@undefined
  \DeclareMathAccent{\dddot}{\mathord}{symbols}{171}
  \DeclareMathAccent{\ddddot}{\mathord}{symbols}{172}
}
\newbox\prePbox@
\newbox\Pbox@
\newif\ifPEX@
\def\PEX@#1{\setbox\Pbox@\vbox{$$\left.\vcenter{\copy\prePbox@}\right)$$}%
 \setbox\Pbox@\vbox{\unvbox\Pbox@\unskip\unpenalty
 \setbox\Pbox@\lastbox
 \setbox\Pbox@\hbox{\unhbox\Pbox@\setbox\Pbox@\lastbox
 \setbox\Pbox@\hbox{\unhbox\Pbox@\setbox\Pbox@\lastbox
 \setbox\z@\hbox{#1}%
 \ifdim\dp\Pbox@>\dp\z@\global\PEX@true\else
 \global\PEX@false\fi}}}}
\def\EXtest@#1{\setbox\prePbox@\hbox{$\displaystyle{#1}$}%
 \PEX@{\MTEXA@\char32}%
 \ifPEX@
  {\textfont3=\MTEXE@\PEX@{\MTEXE@\char12}}%
  \ifPEX@
   {\textfont3=\MTEXF@\PEX@{\MTEXF@\char12}}%
   \ifPEX@
    \def\EXtest@@{\textfont3=\MTEXG@}%
   \else
    \def\EXtest@@{\textfont3=\MTEXF@}%
   \fi
  \else
   \def\EXtest@@{\textfont3=\MTEXE@}%
  \fi
 \else
  \def\EXtest@@{\textfont3=\MTEXA@}%
 \fi}
\def\vc@nt@r#1{\hbox{$\vcenter{\hbox{$\displaystyle{#1}$}}$}}
\newbox\LRbox@
\def\LEFTRIGHT@#1#2#3{\setbox\LRbox@\vc@nt@r{#3}%
 \EXtest@{\vc@nt@r{#3}}%
 \vcenter{\hbox{\curlybraces\EXtest@@$\displaystyle\left#1\box\LRbox@\right#2$}}}%
\def\PARENS#1{\LEFTRIGHT@(){#1}}%
\newif\ifspecdelim@
\def\specdelim@#1{\ifx#1(\specdelim@true
 \else\ifx#1)\specdelim@true
 \else\ifx#1<\specdelim@true
 \else\ifx#1\langle\specdelim@true
 \else\ifx#1>\specdelim@true
 \else\ifx#1\rangle\specdelim@true
 \else\ifx#1/\specdelim@true
 \else\ifx#1\backslash\specdelim@true
 \else\ifx#1\lbrace\specdelim@true
 \else\ifx#1\rbrace\specdelim@true
 \else\ifx#1\lcbrace\specdelim@true
 \else\ifx#1\rcbrace\specdelim@true
 \else\specdelim@false\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi}
\def\LEFTRIGHT#1#2#3{%
 \specdelim@#1%
 \ifspecdelim@
  \LEFTRIGHT@#1.{\vc@nt@r{#3}}%
 \else
  \left#1
  \vc@nt@r{#3}%
  \right.%
 \fi
 \kern-2\nulldelimiterspace\mskip-\thinmuskip
 \specdelim@#2%
 \ifspecdelim@
  \LEFTRIGHT@.#2{\vphantom{\vc@nt@r{#3}}}%
 \else
  \left.%
  \vphantom{\vc@nt@r{#3}}%
  \right#2%
 \fi}
\def\vcorrection#1{\vrule width\z@ height#1\relax}
\newcommand{\ccases}[1]{{%
  \def\arraystretch{1.2}%
  \LEFTRIGHT\lbrace.{\,\array{@{}l@{\quad}l@{}}#1\endarray}%
}}
\newbox\HATbox@
\def\widehat{\mathpalette\@widehat}
\def\@widehat#1#2{\setbox\HATbox@\hbox{$#1{#2}$}%
\setbox0\hbox{\MTEXF@;}%
\ifdim\wd\HATbox@>\wd0
\def\HAT@{\textfont3=\MTEXG@}%
\else
\setbox0\hbox{\MTEXE@9}%
\ifdim\wd\HATbox@>\wd0
\def\HAT@{\textfont3=\MTEXF@}%
\else
\setbox0\hbox{\MTEXA@ d}%
\ifdim\wd\HATbox@>\wd0
\def\HAT@{\textfont3=\MTEXE@}%
\else
\def\HAT@{\textfont3=\MTEXA@}%
\fi
\fi
\fi
\hbox{\HAT@$\mathaccent"0362 {\box\HATbox@}$}}%
\newbox\TDbox@
\def\widetilde{\mathpalette\@widetilde}
\def\@widetilde#1#2{\setbox\TDbox@\hbox{$#1{#2}$}%
\setbox0\hbox{\MTEXF@ K}%
\ifdim\wd\TDbox@>\wd0
\def\TD@{\textfont3=\MTEXG@}%
\else
\setbox0\hbox{\MTEXE@ I}%
\ifdim\wd\TDbox@>\wd0
\def\TD@{\textfont3=\MTEXF@}%
\else
\setbox0\hbox{\MTEXA@ d}%
\ifdim\wd\TDbox@>\wd0
\def\TD@{\textfont3=\MTEXE@}%
\else
\def\TD@{\textfont3=\MTEXA@}%
\fi
\fi
\fi
\hbox{\TD@$\mathaccent"0365 {\box\TDbox@}$}}
\newbox\CHbox@
\def\widecheck{\mathpalette\@widecheck}
\def\@widecheck#1#2{\setbox\CHbox@\hbox{$#1{#2}$}%
\setbox0\hbox{\MTEXF@[}%
\ifdim\wd\CHbox@>\wd0
\def\CHECK@{\textfont3=\MTEXG@}%
\else
\setbox0\hbox{\MTEXE@ Y}%
\ifdim\wd\CHbox@>\wd0
\def\CHECK@{\textfont3=\MTEXF@}%
\else
\setbox0\hbox{\MTEXA@ z}%
\ifdim\wd\CHbox@>\wd0
\def\CHECK@{\textfont3=\MTEXE@}%
\else
\def\CHECK@{\textfont3=\MTEXA@}%
\fi
\fi
\fi
\hbox{\CHECK@$\mathaccent"037A {\box\CHbox@}$}}%
\def\widehatdown#1#2{\setbox\HATbox@\hbox{$\displaystyle{#2}$}%
 \setbox\z@\hbox{\MTEXF@;}%
 \ifdim\wd\HATbox@>\wd\z@
  \def\HAT@{\textfont3=\MTEXG@}%
 \else
  \setbox\z@\hbox{\MTEXE@9}%
  \ifdim\wd\HATbox@>\wd\z@
   \def\HAT@{\textfont3=\MTEXF@}%
  \else
   \setbox\z@\hbox{\MTEXA@ d}%
   \ifdim\wd\HATbox@>\wd\z@
    \def\HAT@{\textfont3=\MTEXE@}%
   \else
    \def\HAT@{\textfont3=\MTEXA@}%
   \fi
  \fi
 \fi
 \dimen@\ht\HATbox@\advance\dimen@-#1\relax
 \ht\HATbox@\dimen@
 \hbox{\HAT@$\mathaccent"0362 {\box\HATbox@}$}}%
\def\widetildedown#1#2{\setbox\TDbox@\hbox{$\displaystyle{#2}$}%
 \setbox\z@\hbox{\MTEXF@ K}%
 \ifdim\wd\TDbox@>\wd\z@
  \def\TD@{\textfont3=\MTEXG@}%
 \else
  \setbox\z@\hbox{\MTEXE@ I}%
  \ifdim\wd\TDbox@>\wd\z@
   \def\TD@{\textfont3=\MTEXF@}%
  \else
   \setbox\z@\hbox{\MTEXA@ d}%
   \ifdim\wd\TDbox@>\wd\z@
    \def\TD@{\textfont3=\MTEXE@}%
   \else
    \def\TD@{\textfont3=\MTEXA@}%
   \fi
  \fi
 \fi
 \dimen@\ht\TDbox@\advance\dimen@-#1\relax
 \ht\TDbox@\dimen@
 \hbox{\TD@$\mathaccent"0365 {\box\TDbox@}$}}
\def\widecheckdown#1#2{\setbox\CHbox@\hbox{$\displaystyle{#2}$}%
 \setbox\z@\hbox{\MTEXF@[}%
 \ifdim\wd\CHbox@>\wd\z@
  \def\CHECK@{\textfont3=\MTEXG@}%
 \else
  \setbox\z@\hbox{\MTEXE@ Y}%
  \ifdim\wd\CHbox@>\wd\z@
   \def\CHECK@{\textfont3=\MTEXF@}%
  \else
   \setbox\z@\hbox{\MTEXA@ z}%
   \ifdim\wd\CHbox@>\wd\z@
    \def\CHECK@{\textfont3=\MTEXE@}%
   \else
    \def\CHECK@{\textfont3=\MTEXA@}%
   \fi
  \fi
 \fi
 \dimen@\ht\CHbox@\advance\dimen@-#1\relax
 \ht\CHbox@\dimen@
 \hbox{\CHECK@$\mathaccent"037A {\box\CHbox@}$}}%
\def\arc{\mathaccent"03C3 }
\def\Arc{\mathaccent"03BE }
\newbox\ARCbox@
\def\widearc#1{\setbox\ARCbox@\hbox{$\displaystyle{#1}$}%
  \setbox\z@\hbox{\MTEXF@\char'267}%
   \ifdim\wd\ARCbox@>\wd\z@
    \hbox{\textfont3=\MTEXG@ $\mathaccent"03B1 {\box\ARCbox@}$}%
   \else
    \setbox\z@\hbox{\MTEXE@\char'326}%
    \ifdim\wd\ARCbox@>\wd\z@
     \hbox{\textfont3=\MTEXF@ $\mathaccent"03B1 {\box\ARCbox@}$}%
    \else
     \setbox\z@\hbox{\MTEXA@ \char'302}%
     \ifdim\wd\ARCbox@>\wd\z@
      \hbox{\textfont3=\MTEXE@ $\mathaccent"03D0 {\box\ARCbox@}$}%
     \else
      \hbox{\textfont3=\MTEXA@ $\mathaccent"03BF {\box\ARCbox@}$}%
     \fi
    \fi
   \fi}
\newbox\preSbox@
\newbox\Sbox@
\newif\ifSQEX@
\def\SQEX@#1{\setbox\Sbox@\vbox{$$\radical"270370{\copy\preSbox@}$$}%
\setbox\Sbox@\vbox{\unvbox\Sbox@\unskip\unpenalty
\setbox\Sbox@\lastbox\setbox\Sbox@\hbox{\unhbox\Sbox@\setbox\Sbox@\lastbox
\setbox\Sbox@\hbox{\unhbox\Sbox@\setbox\Sbox@\lastbox\setbox\Sbox@\lastbox
\setbox0\hbox{#1}%
\ifdim\dp\Sbox@>\dp0\global\SQEX@true\else
\global\SQEX@false\fi}}}}
\newcount\SQcount@
\def\SQtest@#1{\setbox\preSbox@\hbox{$\displaystyle{#1}$}%
\SQEX@{\MTEXA@ s}%
\ifSQEX@
{\textfont3=\MTEXE@\SQEX@{\MTEXE@ u}}%
\ifSQEX@
{\textfont3=\MTEXF@\SQEX@{\MTEXF@ u}}%
\ifSQEX@
\def\SQtest@@{\textfont3=\MTEXG@}\global\SQcount@3
\else
\def\SQtest@@{\textfont3=\MTEXF@}\global\SQcount@2
\fi
\else
\def\SQtest@@{\textfont3=\MTEXE@}\global\SQcount@1
\fi
\else
\def\SQtest@@{\textfont3=\MTEXA@}\global\SQcount@0
\fi}
\newbox\SQRTbox@
\def\SQR@@T#1{\setbox\SQRTbox@\hbox{$\displaystyle{#1}$}%
\SQtest@{#1}%
\hbox{\SQtest@@$\displaystyle\radical"270370{\box\SQRTbox@}$}}
\newcount\UPROOT@
\newcount\LEFTROOT@
\def\LEFTROOT#1{\relax
  \ifmmode\LEFTROOT@#1\relax
  \else\PackageError{mtpro2}
         {\protect\LEFTROOT\space allowed only in math mode}
         {Type <return> to proceed; the command will be ignored.}
  \fi}
\def\UPROOT#1{\relax
  \ifmmode\UPROOT@#1\relax
  \else\PackageError{mtpro2}
         {\protect\UPROOT\space allowed only in math mode}
         {Type <return> to proceed; the command will be ignored.}
  \fi}
\def\ROOT#1\OF#2{\setbox\rootbox\hbox{$\m@th\scriptscriptstyle{#1}$}%
\mathpalette\R@@T{#2}}
\def\R@@T#1#2{\setbox\z@\hbox{$\UPROOT@\z@\LEFTROOT@\z@\m@th#1\SQR@@T{#2}$}%
\dimen@\ht\z@\advance\dimen@-\dp\z@
\dimen@ii\dimen@
\setbox\tw@\hbox{$\m@th#1\mskip\UPROOT@ mu$}\advance\dimen@ii by1.667\wd\tw@
\setbox\tw@\hbox{$\m@th#1\mskip10mu$}%
\ifcase\SQcount@\advance\dimen@3\wd\tw@\or\advance\dimen@1.5\wd\tw@\or
\advance\dimen@\wd\tw@\fi
\mkern1mu\kern.13\dimen@\mkern-\LEFTROOT@ mu
\raise.5\dimen@ii\copy\rootbox % was .44
\mkern-1mu\kern-.13\dimen@\mkern\LEFTROOT@ mu\box\z@\kern-\wd\rootbox
\LEFTROOT\z@\UPROOT\z@}
\DeclareRobustCommand\SQRT{\@ifnextchar[\SQRT@\SQR@@T}
\def\SQRT@[#1]{\ROOT #1\OF}
\def\space@.{\futurelet\space@\relax}
\space@. %
\def\FNSS@#1{\let\FNSS@@#1\futurelet\next\FNSS@@@}
\def\FNSS@@@{\ifx\next\space@\def\FNSS@@@@.  {\futurelet\next\FNSS@@@}\else
\def\FNSS@@@@.{\FNSS@@}\fi\FNSS@@@@.}
{\catcode`\_=12
\global\let\sbxii@=_}
{\catcode`\_=8
\global\let\sbviii@=_}
\newcount\limtype@
\newcount\xlfont@
\newcount\xlposition@
\newcount\xlposition@ii
\newcount\optype@
\newcount\x@count
\def\xl{\xlposition@ii\z@\xlfont@\z@\x@count\thr@@\futurelet\next\xl@}
\def\xl@{%
\optype@\z@
\limtype@\z@
\ifx\next\bigodot\xlposition@96\else
\ifx\next\bigoplus\xlposition@97\else
\ifx\next\bigotimes\xlposition@98\else
\ifx\next\bigsqcup\xlposition@99\else
\ifx\next\bigcup\xlposition@100\else
\ifx\next\bigcap\xlposition@101\else
\ifx\next\biguplus\xlposition@102\else
\ifx\next\bigwedge\xlposition@103\else
\ifx\next\bigvee\xlposition@104\else
\ifx\next\upsum\xlposition@105\else
\ifx\next\upprod\xlposition@106\else
\ifx\next\upcoprod\xlposition@107\else
\ifx\next\bigcupprod\xlposition@110\else
\ifx\next\bigcapprod\xlposition@111\else
\ifx\next\bigvarland\xlposition@122\else
\ifx\next\bigast\xlposition@123\else
\ifx\next\slsum\optype@\@ne\xlposition@119\else
\ifx\next\slprod\optype@\@ne\xlposition@120\else
\ifx\next\slcoprod\optype@\@ne\xlposition@121\else
\ifx\next\int\limtype@\@ne\optype@\@ne\xlposition@108\else
\ifx\next\oint\limtype@\@ne\optype@\@ne\xlposition@109\else
\ifx\next\cwoint\limtype@\@ne\optype@\@ne\xlposition@112\else
\ifx\next\awoint\limtype@\@ne\optype@\@ne\xlposition@113\else
\ifx\next\cwint\limtype@\@ne\optype@\@ne\xlposition@114\else
\ifx\next\iint\limtype@\@ne\optype@\@ne\xlposition@115\else
\ifx\next\iiint\limtype@\@ne\optype@\@ne\xlposition@116\else
\ifx\next\oiint\limtype@\@ne\optype@\@ne\xlposition@117\else
\ifx\next\oiiint\limtype@\@ne\optype@\@ne\xlposition@118\else
\ifx\next\barint\limtype@\@ne\optype@\@ne\xlposition@124\else
\ifx\next\slashint\limtype@\@ne\optype@\@ne\xlposition@125\else
\PackageError{mtpro2}%
  {Invalid use of \protect\xl}%
  {\protect\xl\space can be applied to `large operators' only.}%
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\def\next@##1{\futurelet\next\getxlims@}\next@}
\def\getxlims@{%
\let\lowerlim@\relax\let\upperlim@\relax
\ifx\next\limits
\def\next@##1{\limtype@\z@\futurelet\next\getxlims@}%
\else\ifx\next\nolimits
\def\next@##1{\limtype@\@ne\futurelet\next\getxlims@}%
\else\ifx\next\sbxii@
\def\next@##1{\getxlowerlim@}%
\else\ifx\next\sbviii@
\def\next@##1{\getxlowerlim@}%
\else\ifcat\sbviii@\noexpand\next
\def\next@##1{\getxlowerlim@}%
\else\ifcat^\noexpand\next
\def\next@##1{\getxupperlim@}%
\else
\let\next@\uselims@
\fi\fi\fi\fi\fi\fi
\next@}
\def\getxlowerlim@#1{\def\lowerlim@{#1}\FNSS@\getxupperlim@@}
\def\getxupperlim@#1{\def\upperlim@{#1}\FNSS@\getxlowerlim@@}
\def\getxupperlim@@{%
\ifcat^\noexpand\next
\def\next@##1##2{\def\upperlim@{##2}\uselims@}%
\else
\let\next@\uselims@  % have limits  now
\fi
\next@}
\def\getxlowerlim@@{%
\ifx\next\sbxii@
\def\next@##1##2{\def\lowerlim@{##2}\uselims@}%
\else\ifx\next\sbviii@
\def\next@##1##2{\def\lowerlim@{##2}\uselims@}%
\else\ifcat\sbviii@\noexpand\next
\def\next@##1##2{\def\lowerlim@{##2}\uselims@}%
\else
\let\next@\uselims@ % have limits now
\fi\fi\fi
\next@}
\def\uselims@{\ifnum\optype@=\z@\xlargeop@\else\xlargeopic@\fi}
\def\xlargeop@{%
\ifnum\limtype@=\z@
\mathop{\hbox{$\vcenter{\hbox{%
\ifnum\xlfont@=\z@\MTXL@\else\MTXXXL@\fi
\char\xlposition@\relax
\ifnum\xlposition@ii=\z@\else\char\xlposition@ii\relax\fi
}}$}}_{\lowerlim@}^{\upperlim@}%
\else
\mathop{\hbox{$\vcenter{\hbox{%
\ifnum\xlfont@=\z@\MTXL@\else\MTXXXL@\fi
\char\xlposition@\relax
\ifnum\xlposition@ii=\z@\else\char\xlposition@ii\relax\fi
}}$}}\nolimits_{\lowerlim@}^{\upperlim@}%
\fi}
\newdimen\maxXLscripts@
\def\xlargeopic@{%
\def\thecharacter@{\ifnum\xlfont@=\z@\MTXL@\else\MTXXXL@\fi\char\xlposition@\relax}%
\ifnum\limtype@=\@ne
\setbox\z@\hbox{\thecharacter@\/}%
\dimen@\wd\z@
\setbox\z@\hbox{\thecharacter@}%
\advance\dimen@-\wd\z@
\mathop{\hbox{$\vcenter{\hbox{\thecharacter@}}$}}
\nolimits_{\lowerlim@}^{\kern\dimen@\upperlim@}%
\else
\setbox\z@\hbox{\ifcase\x@count\kern\tw@\fontdimen8\MTXL@\or
\kern4\fontdimen8\MTXL@\or\kern\tw@\fontdimen8\MTXXXL@\or\kern1.7\fontdimen8\MTXL@\fi}%
\setbox\@ne\hbox{\thecharacter@}%
\setbox\tw@\hbox{$\scriptstyle{\lowerlim@}$}%
\setbox\thr@@\hbox{$\kern\wd\z@\scriptstyle{\upperlim@}$}%
\maxXLscripts@\wd\thr@@\ifdim\maxXLscripts@<\wd\tw@\maxXLscripts@\wd\tw@\fi
\dimen@ii.5\wd\tw@ \advance\dimen@ii-.5\wd\@ne
\dimen@.5\wd\thr@@ \advance\dimen@-\wd\z@  \advance\dimen@-.5\wd\@ne
\ifdim\dimen@>\z@ % if visible part of  superscript extends to left of operator
  \ifdim\dimen@>\dimen@ii % if visible part of superscript to left of  subscript
    \kern\dimen@\kern.5\wd\@ne\kern-.5\maxXLscripts@
  \else %                   only trim to  subscript,
    \kern\dimen@ii\kern.5\wd\@ne\kern-.5\maxXLscripts@
  \fi
\else % visible part of superscript entirely to right of operator, so trim to subscript
  \ifdim\dimen@ii >  \z@
    \kern\dimen@ii\kern.5\wd\@ne\kern-.5\maxXLscripts@
  \else
    \kern.5\wd\@ne\kern-.5\maxXLscripts@
  \fi
\fi
\setbox\@ne\hbox{\thecharacter@\/}\dimen@ii\wd\@ne
\setbox\@ne\hbox{\thecharacter@}\advance\dimen@ii-\wd\@ne
\mathop{\hbox{$\vcenter{\hbox{\thecharacter@}}$}}_{\lowerlim@}^{\kern\wd\z@\upperlim@}%
\kern\dimen@ii
\fi
}
\def\XL{\xlposition@ii\z@\xlfont@\z@\x@count\z@\futurelet\next\XL@}
\def\XL@{\optype@\z@\limtype@\z@
\ifx\next\bigodot\xlposition@0\else
\ifx\next\bigoplus\xlposition@1\else
\ifx\next\bigotimes\xlposition@2\else
\ifx\next\bigsqcup\xlposition@3\else
\ifx\next\bigcup\xlposition@4\else
\ifx\next\bigcap\xlposition@5\else
\ifx\next\biguplus\xlposition@6\else
\ifx\next\bigwedge\xlposition@7\else
\ifx\next\bigvee\xlposition@8\else
\ifx\next\upsum\xlposition@9\else
\ifx\next\upprod\xlposition@10\else
\ifx\next\upcoprod\xlposition@11\else
\ifx\next\bigcupprod\xlposition@14\else
\ifx\next\bigcapprod\xlposition@15\else
\ifx\next\bigvarland\xlposition@26\else
\ifx\next\bigast\xlposition@27\else
\ifx\next\slsum\optype@\@ne\xlposition@23\else
\ifx\next\slprod\optype@\@ne\xlposition@24\else
\ifx\next\slcoprod\optype@\@ne\xlposition@25\else
\ifx\next\int\limtype@\@ne\optype@\@ne\xlposition@12\else
\ifx\next\oint\limtype@\@ne\optype@\@ne\xlposition@13\else
\ifx\next\cwoint\limtype@\@ne\optype@\@ne\xlposition@16\else
\ifx\next\awoint\limtype@\@ne\optype@\@ne\xlposition@17\else
\ifx\next\cwint\limtype@\@ne\optype@\@ne\xlposition@18\else
\ifx\next\iint\limtype@\@ne\optype@\@ne\xlposition@19\else
\ifx\next\iiint\limtype@\@ne\optype@\@ne\xlposition@20\else
\ifx\next\oiint\limtype@\@ne\optype@\@ne\xlposition@21\else
\ifx\next\oiiint\limtype@\@ne\optype@\@ne\xlposition@22\else
\ifx\next\barint\limtype@\@ne\optype@\@ne\xlposition@28\else
\ifx\next\slashint\limtype@\@ne\optype@\@ne\xlposition@29\else
\PackageError{mtpro2}%
  {Invalid use of \protect\XL}%
  {\protect\XL\space can be applied to `large operators' only.}%
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\def\next@##1{\futurelet\next\getxlims@}\next@}
\def\XXL{\xlposition@ii\z@\xlfont@\z@\x@count\@ne\futurelet\next\XXL@}
\def\XXL@{\optype@\z@\limtype@\z@
\ifx\next\bigodot\xlposition@48\else
\ifx\next\bigoplus\xlposition@49\else
\ifx\next\bigotimes\xlposition@50\else
\ifx\next\bigsqcup\xlposition@51\else
\ifx\next\bigcup\xlposition@52\else
\ifx\next\bigcap\xlposition@53\else
\ifx\next\biguplus\xlposition@54\else
\ifx\next\bigwedge\xlposition@55\else
\ifx\next\bigvee\xlposition@56\else
\ifx\next\upsum\xlposition@57\else
\ifx\next\upprod\xlposition@58\else
\ifx\next\upcoprod\xlposition@59\else
\ifx\next\bigcupprod\xlposition@62  \xlposition@ii64\else
\ifx\next\bigcapprod\xlposition@63  \xlposition@ii65\else
\ifx\next\bigvarland\xlposition@76\else
\ifx\next\bigast\xlposition@77\else
\ifx\next\slsum\optype@\@ne\xlposition@73\else
\ifx\next\slprod\optype@\@ne\xlposition@74\else
\ifx\next\slcoprod\optype@\@ne\xlposition@75\else
\ifx\next\int\limtype@\@ne\optype@\@ne\xlposition@60\else
\ifx\next\oint\limtype@\@ne\optype@\@ne\xlposition@61\else
\ifx\next\cwoint\limtype@\@ne\optype@\@ne\xlposition@66\else
\ifx\next\awoint\limtype@\@ne\optype@\@ne\xlposition@67\else
\ifx\next\cwint\limtype@\@ne\optype@\@ne\xlposition@68\else
\ifx\next\iint\limtype@\@ne\optype@\@ne\xlposition@69\else
\ifx\next\iiint\limtype@\@ne\optype@\@ne\xlposition@70\else
\ifx\next\oiint\limtype@\@ne\optype@\@ne\xlposition@71\else
\ifx\next\oiiint\limtype@\@ne\optype@\@ne\xlposition@72\else
\ifx\next\barint\limtype@\@ne\optype@\@ne\xlposition@78\else
\ifx\next\slashint\limtype@\@ne\optype@\@ne\xlposition@79\else
\PackageError{mtpro2}%
  {Invalid use of \protect\XXL}%
  {\protect\XXL\space can be applied to `large operators' only.}%
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\def\next@##1{\futurelet\next\getxlims@}\next@}
\def\XXXL{\xlposition@ii\z@\xlfont@\@ne\x@count\tw@\futurelet\next\XXXL@}
\def\XXXL@{\optype@\z@\limtype@\z@
\ifx\next\bigodot\xlposition@0\else
\ifx\next\bigoplus\xlposition@1\else
\ifx\next\bigotimes\xlposition@2\else
\ifx\next\bigsqcup\xlposition@3\else
\ifx\next\bigcup\xlposition@4\else
\ifx\next\bigcap\xlposition@5\else
\ifx\next\biguplus\xlposition@6\else
\ifx\next\bigwedge\xlposition@7\else
\ifx\next\bigvee\xlposition@8\else
\ifx\next\upsum\xlposition@9\else
\ifx\next\uprod\xlposition@10\else
\ifx\next\ucoprod\xlposition@11\else
\ifx\next\bigcupprod\xlposition@14  \xlposition@ii16\else
\ifx\next\bigcapprod\xlposition@15  \xlposition@ii17\else
\ifx\next\bigvarland\xlposition@ 28  \xlposition@ii29\else
\ifx\next\bigast\xlposition@30\else
\ifx\next\slsum\optype@\@ne\xlposition@25\else
\ifx\next\slprod\optype@\@ne\xlposition@26\else
\ifx\next\slcoprod\optype@\@ne\xlposition@27\else
\ifx\next\int\limtype@\@ne\optype@\@ne\xlposition@12\else
\ifx\next\oint\limtype@\@ne\optype@\@ne\xlposition@13\else
\ifx\next\cwoint\limtype@\@ne\optype@\@ne\xlposition@18\else
\ifx\next\awoint\limtype@\@ne\optype@\@ne\xlposition@19\else
\ifx\next\cwint\limtype@\@ne\optype@\@ne\xlposition@20\else
\ifx\next\iint\limtype@\@ne\optype@\@ne\xlposition@21\else
\ifx\next\iiint\limtype@\@ne\optype@\@ne\xlposition@22\else
\ifx\next\oiint\limtype@\@ne\optype@\@ne\xlposition@23\else
\ifx\next\oiiint\limtype@\@ne\optype@\@ne\xlposition@24\else
\ifx\next\barint\limtype@\@ne\optype@\@ne\xlposition@31\else
\ifx\next\slashint\limtype@\@ne\optype@\@ne\xlposition@32\else
\def\next@{\PackageError{mtpro2}%
  {Invalid use of \protect\XXXL}%
  {\protect\XXXL\space can be applied to `large operators' only.}}%
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
\def\next@##1{\futurelet\next\getxlims@}\next@}
\def\undercbrace#1{\setbox\z@\hbox{$\displaystyle#1$}%
 \dimen@\tMTPsize\relax
 \expandafter\getpoints@\the\dimen@\getpoints@
 \dimen@\wd\z@
 \divide\dimen@\pointcount@
 \expandafter\getpoints@\the\dimen@\getpoints@
 \ifnum\pointcount@<4
  \ifdim\wd\z@<12pt
   \def\thebrace@{\hbox{\MTEXE@\char144}}%
  \else\ifdim\wd\z@<15pt
   \def\thebrace@{\hbox{\MTEXE@\char145}}%
  \else\ifdim\wd\z@<18pt
   \def\thebrace@{\hbox{\MTEXE@\char146}}%
  \else\ifdim\wd\z@<21pt
   \def\thebrace@{\hbox{\MTEXE@\char147}}%
  \else\ifdim\wd\z@<24pt
   \def\thebrace@{\hbox{\MTEXE@\char148}}%
  \else\ifdim\wd\z@<27pt
   \def\thebrace@{\hbox{\MTEXE@\char149}}%
  \else\ifdim\wd\z@<30pt
   \def\thebrace@{\hbox{\MTEXE@\char150}}%
  \else\ifdim\wd\z@<33pt
   \def\thebrace@{\hbox{\MTEXE@\char151}}%
  \else
   \def\thebrace@{\hbox{\MTEXE@\char152}}%
  \fi\fi\fi\fi\fi\fi\fi\fi
 \else
  \ifnum\pointcount@<12
    \advance\pointcount@149
    \def\thebrace@{\hbox{\MTEXE@\char\pointcount@}}%
  \else
   \ifnum\pointcount@<24
    \advance\pointcount@132
    \def\thebrace@{\hbox{\MTEXF@\char\pointcount@}}%
   \else
    \advance\pointcount@120
    \ifnum\pointcount@>149 \pointcount@149 \fi
    \def\thebrace@{\hbox{\MTEXG@\char\pointcount@}}%
   \fi
  \fi
 \fi
 \mathop{\vtop{\ialign{\hfil##\hfil\cr$\displaystyle#1$\crcr\noalign
  {\vskip3pt\nointerlineskip}\thebrace@\cr\noalign{\kern3pt}}}}\limits}%
\def\overcbrace#1{\setbox\z@\hbox{$\displaystyle#1$}%
 \dimen@\tMTPsize\relax
 \expandafter\getpoints@\the\dimen@\getpoints@
 \dimen@\wd\z@
 \divide\dimen@\pointcount@
 \expandafter\getpoints@\the\dimen@\getpoints@
 \ifnum\pointcount@<4
  \ifdim\wd\z@<12pt
   \def\thebrace@{\hbox{\MTEXE@\char176}}%
  \else\ifdim\wd\z@<15pt
   \def\thebrace@{\hbox{\MTEXE@\char177}}%
  \else\ifdim\wd\z@<18pt
   \def\thebrace@{\hbox{\MTEXE@\char178}}%
  \else\ifdim\wd\z@<21pt
   \def\thebrace@{\hbox{\MTEXE@\char179}}%
  \else\ifdim\wd\z@<24pt
   \def\thebrace@{\hbox{\MTEXE@\char180}}%
  \else\ifdim\wd\z@<27pt
   \def\thebrace@{\hbox{\MTEXE@\char181}}%
  \else\ifdim\wd\z@<30pt
   \def\thebrace@{\hbox{\MTEXE@\char182}}%
  \else\ifdim\wd\z@<33pt
   \def\thebrace@{\hbox{\MTEXE@\char183}}%
  \else
   \def\thebrace@{\hbox{\MTEXE@\char184}}%
  \fi\fi\fi\fi\fi\fi\fi\fi
 \else
  \ifnum\pointcount@<12
    \advance\pointcount@181
    \def\thebrace@{\hbox{\MTEXE@\char\pointcount@}}%
  \else
   \ifnum\pointcount@<24
    \advance\pointcount@148
    \def\thebrace@{\hbox{\MTEXF@\char\pointcount@}}%
   \else
    \advance\pointcount@136
    \ifnum\pointcount@>165 \pointcount@165 \fi
    \def\thebrace@{\hbox{\MTEXG@\char\pointcount@}}%
   \fi
  \fi
 \fi
 \mathop{\vbox{\ialign{\hfil##\hfil\cr\noalign{\kern3\p@}\thebrace@\crcr
 \noalign{\kern3\p@\nointerlineskip}$\displaystyle#1$\crcr}}}\limits}%
\ifmtp@ams
\DeclareSymbolFont{AMSa}{U}{mt2sya}{m}{n}
\SetSymbolFont{AMSa}{bold}{U}{mt2sya}{b}{n}
\SetSymbolFont{AMSa}{heavy}{U}{mt2sya}{eb}{n}
\global\let\sqsubset\undefined
\global\let\sqsupset\undefined
\global\let\mho\undefined
\global\let\Diamond\undefined
\global\let\leadsto\undefined
\@ifundefined{checkmark}{%
  \edef\checkmark{\noexpand\mathhexbox{\hexnumber@\symAMSa}58}
}{}
\@ifundefined{circledR}{%
  \edef\circledR{\noexpand\mathhexbox{\hexnumber@\symAMSa}72}
}{}
\@ifundefined{maltese}{%
  \edef\maltese{\noexpand\mathhexbox{\hexnumber@\symAMSa}7A}
}{}
\@ifundefined{yen}{%
  \edef\yen{\noexpand\mathhexbox{\hexnumber@\symAMSa}55}
}{}
\DeclareMathDelimiter{\ulcorner}{\mathopen} {AMSa}{"70}{AMSa}{"70}
\DeclareMathDelimiter{\urcorner}{\mathclose}{AMSa}{"71}{AMSa}{"71}
\DeclareMathDelimiter{\llcorner}{\mathopen} {AMSa}{"78}{AMSa}{"78}
\DeclareMathDelimiter{\lrcorner}{\mathclose}{AMSa}{"79}{AMSa}{"79}
\DeclareMathSymbol{\dashleftarrow}{\mathrel}{AMSa}{219}
\DeclareMathSymbol{\dashrightarrow}{\mathrel}{AMSa}{220}
\global\let\dasharrow\dashrightarrow
\DeclareMathSymbol{\Diamond}      {\mathbin}{AMSa}{"DE}
\DeclareMathSymbol{\leadsto}      {\mathbin}{AMSa}{"DD}
\DeclareMathSymbol{\boxdot}       {\mathbin}{AMSa}{"00}
\DeclareMathSymbol{\boxplus}      {\mathbin}{AMSa}{"01}
\DeclareMathSymbol{\boxtimes}     {\mathbin}{AMSa}{"02}
\DeclareMathSymbol{\square}       {\mathord}{AMSa}{"03}
\DeclareMathSymbol{\blacksquare}  {\mathord}{AMSa}{"04}
\DeclareMathSymbol{\centerdot}    {\mathbin}{AMSa}{"05}
\DeclareMathSymbol{\lozenge}      {\mathord}{AMSa}{"06}
\DeclareMathSymbol{\blacklozenge} {\mathord}{AMSa}{"07}
\DeclareMathSymbol{\circlearrowright}   {\mathrel}{AMSa}{"08}
\DeclareMathSymbol{\circlearrowleft}    {\mathrel}{AMSa}{"09}
\DeclareMathSymbol{\leftrightharpoons}  {\mathrel}{AMSa}{"0B}
\DeclareMathSymbol{\boxminus}     {\mathbin}{AMSa}{"0C}
\DeclareMathSymbol{\Vdash}        {\mathrel}{AMSa}{"0D}
\DeclareMathSymbol{\Vvdash}       {\mathrel}{AMSa}{"0E}
\DeclareMathSymbol{\vDash}        {\mathrel}{AMSa}{"0F}
\DeclareMathSymbol{\twoheadrightarrow}  {\mathrel}{AMSa}{"10}
\DeclareMathSymbol{\twoheadleftarrow}   {\mathrel}{AMSa}{"11}
\DeclareMathSymbol{\leftleftarrows}     {\mathrel}{AMSa}{"12}
\DeclareMathSymbol{\rightrightarrows}   {\mathrel}{AMSa}{"13}
\DeclareMathSymbol{\upuparrows}         {\mathrel}{AMSa}{"14}
\DeclareMathSymbol{\downdownarrows} {\mathrel}{AMSa}{"15}
\DeclareMathSymbol{\upharpoonright} {\mathrel}{AMSa}{"16}
\global\let\restriction\upharpoonright
\DeclareMathSymbol{\downharpoonright}   {\mathrel}{AMSa}{"17}
\DeclareMathSymbol{\upharpoonleft}  {\mathrel}{AMSa}{"18}
\DeclareMathSymbol{\downharpoonleft}{\mathrel}{AMSa}{"19}
\DeclareMathSymbol{\rightarrowtail} {\mathrel}{AMSa}{"1A}
\DeclareMathSymbol{\leftarrowtail}  {\mathrel}{AMSa}{"1B}
\DeclareMathSymbol{\leftrightarrows}{\mathrel}{AMSa}{"1C}
\DeclareMathSymbol{\rightleftarrows}{\mathrel}{AMSa}{"1D}
\DeclareMathSymbol{\Lsh}            {\mathrel}{AMSa}{"1E}
\DeclareMathSymbol{\Rsh}            {\mathrel}{AMSa}{"1F}
\DeclareMathSymbol{\rightsquigarrow}  {\mathrel}{AMSa}{"20}
\DeclareMathSymbol{\leftrightsquigarrow}{\mathrel}{AMSa}{"21}
\DeclareMathSymbol{\looparrowleft}  {\mathrel}{AMSa}{"22}
\DeclareMathSymbol{\looparrowright} {\mathrel}{AMSa}{"23}
\DeclareMathSymbol{\circeq}       {\mathrel}{AMSa}{"24}
\DeclareMathSymbol{\succsim}      {\mathrel}{AMSa}{"25}
\DeclareMathSymbol{\gtrsim}       {\mathrel}{AMSa}{"26}
\DeclareMathSymbol{\gtrapprox}    {\mathrel}{AMSa}{"27}
\DeclareMathSymbol{\multimap}     {\mathrel}{AMSa}{"28}
\DeclareMathSymbol{\therefore}    {\mathrel}{AMSa}{"29}
\DeclareMathSymbol{\because}      {\mathrel}{AMSa}{"2A}
\DeclareMathSymbol{\doteqdot}     {\mathrel}{AMSa}{"2B}
\global\let\Doteq\doteqdot
\DeclareMathSymbol{\triangleq}    {\mathrel}{AMSa}{"2C}
\DeclareMathSymbol{\precsim}      {\mathrel}{AMSa}{"2D}
\DeclareMathSymbol{\lesssim}      {\mathrel}{AMSa}{"2E}
\DeclareMathSymbol{\lessapprox}   {\mathrel}{AMSa}{"2F}
\DeclareMathSymbol{\eqslantless}  {\mathrel}{AMSa}{"30}
\DeclareMathSymbol{\eqslantgtr}   {\mathrel}{AMSa}{"31}
\DeclareMathSymbol{\curlyeqprec}  {\mathrel}{AMSa}{"32}
\DeclareMathSymbol{\curlyeqsucc}  {\mathrel}{AMSa}{"33}
\DeclareMathSymbol{\preccurlyeq}  {\mathrel}{AMSa}{"34}
\DeclareMathSymbol{\leqq}         {\mathrel}{AMSa}{"35}
\DeclareMathSymbol{\leqslant}     {\mathrel}{AMSa}{"36}
\DeclareMathSymbol{\lessgtr}      {\mathrel}{AMSa}{"37}
\DeclareMathSymbol{\backprime}    {\mathord}{AMSa}{"38}
\DeclareMathSymbol{\risingdotseq} {\mathrel}{AMSa}{"3A}
\DeclareMathSymbol{\fallingdotseq}{\mathrel}{AMSa}{"3B}
\DeclareMathSymbol{\succcurlyeq}  {\mathrel}{AMSa}{"3C}
\DeclareMathSymbol{\geqq}         {\mathrel}{AMSa}{"3D}
\DeclareMathSymbol{\geqslant}     {\mathrel}{AMSa}{"3E}
\DeclareMathSymbol{\gtrless}      {\mathrel}{AMSa}{"3F}
\DeclareMathSymbol{\sqsubset}    {\mathrel}{AMSa}{"40}
\DeclareMathSymbol{\sqsupset}    {\mathrel}{AMSa}{"41}
\DeclareMathSymbol{\vartriangleright}{\mathrel}{AMSa}{"42}
\DeclareMathSymbol{\vartriangleleft} {\mathrel}{AMSa}{"43}
\DeclareMathSymbol{\trianglerighteq} {\mathrel}{AMSa}{"44}
\DeclareMathSymbol{\trianglelefteq}  {\mathrel}{AMSa}{"45}
\DeclareMathSymbol{\bigstar}    {\mathord}{AMSa}{"46}
\DeclareMathSymbol{\between}    {\mathrel}{AMSa}{"47}
\DeclareMathSymbol{\blacktriangledown}  {\mathord}{AMSa}{"48}
\DeclareMathSymbol{\blacktriangleright} {\mathrel}{AMSa}{"49}
\DeclareMathSymbol{\blacktriangleleft}  {\mathrel}{AMSa}{"4A}
\DeclareMathSymbol{\vartriangle}        {\mathrel}{AMSa}{"4D}
\DeclareMathSymbol{\blacktriangle}      {\mathord}{AMSa}{"4E}
\DeclareMathSymbol{\triangledown}       {\mathord}{AMSa}{"4F}
\DeclareMathSymbol{\eqcirc}       {\mathrel}{AMSa}{"50}
\DeclareMathSymbol{\lesseqgtr}    {\mathrel}{AMSa}{"51}
\DeclareMathSymbol{\gtreqless}    {\mathrel}{AMSa}{"52}
\DeclareMathSymbol{\lesseqqgtr}   {\mathrel}{AMSa}{"53}
\DeclareMathSymbol{\gtreqqless}   {\mathrel}{AMSa}{"54}
\DeclareMathSymbol{\Rrightarrow}  {\mathrel}{AMSa}{"56}
\DeclareMathSymbol{\Lleftarrow}   {\mathrel}{AMSa}{"57}
\DeclareMathSymbol{\veebar}       {\mathbin}{AMSa}{"59}
\DeclareMathSymbol{\barwedge}     {\mathbin}{AMSa}{"5A}
\DeclareMathSymbol{\doublebarwedge} {\mathbin}{AMSa}{"5B}
\DeclareMathSymbol{\measuredangle}  {\mathord}{AMSa}{"5D}
\DeclareMathSymbol{\sphericalangle} {\mathord}{AMSa}{"5E}
\DeclareMathSymbol{\varpropto}    {\mathrel}{AMSa}{"5F}
\DeclareMathSymbol{\smallsmile}   {\mathrel}{AMSa}{"60}
\DeclareMathSymbol{\smallfrown}   {\mathrel}{AMSa}{"61}
\DeclareMathSymbol{\Subset}       {\mathrel}{AMSa}{"62}
\DeclareMathSymbol{\Supset}       {\mathrel}{AMSa}{"63}
\DeclareMathSymbol{\Cup}          {\mathbin}{AMSa}{"64}
\global\let\doublecup\Cup
\DeclareMathSymbol{\Cap}          {\mathbin}{AMSa}{"65}
\global\let\doublecap\Cap
\DeclareMathSymbol{\curlywedge}   {\mathbin}{AMSa}{"66}
\DeclareMathSymbol{\curlyvee}     {\mathbin}{AMSa}{"67}
\DeclareMathSymbol{\leftthreetimes} {\mathbin}{AMSa}{"68}
\DeclareMathSymbol{\rightthreetimes}{\mathbin}{AMSa}{"69}
\DeclareMathSymbol{\subseteqq}    {\mathrel}{AMSa}{"6A}
\DeclareMathSymbol{\supseteqq}    {\mathrel}{AMSa}{"6B}
\DeclareMathSymbol{\bumpeq}       {\mathrel}{AMSa}{"6C}
\DeclareMathSymbol{\Bumpeq}       {\mathrel}{AMSa}{"6D}
\DeclareMathSymbol{\lll}          {\mathrel}{AMSa}{"6E}
\global\let\llless\lll
\DeclareMathSymbol{\ggg}          {\mathrel}{AMSa}{"6F}
\global\let\gggtr\ggg
\DeclareMathSymbol{\circledS}     {\mathord}{AMSa}{"73}
\DeclareMathSymbol{\pitchfork}    {\mathrel}{AMSa}{"74}
\DeclareMathSymbol{\dotplus}      {\mathbin}{AMSa}{"75}
\DeclareMathSymbol{\backsim}      {\mathrel}{AMSa}{"76}
\DeclareMathSymbol{\backsimeq}    {\mathrel}{AMSa}{"77}
\DeclareMathSymbol{\complement}   {\mathord}{AMSa}{"7B}
\DeclareMathSymbol{\intercal}     {\mathbin}{AMSa}{"7C}
\DeclareMathSymbol{\circledcirc}  {\mathbin}{AMSa}{"7D}
\DeclareMathSymbol{\circledast}   {\mathbin}{AMSa}{"7E}
\DeclareMathSymbol{\circleddash}  {\mathbin}{AMSa}{"7F}
\DeclareMathSymbol{\updownarrows}{\mathrel}{AMSa}{"DF}
\DeclareMathSymbol{\downuparrows}{\mathrel}{AMSa}{224}
\DeclareMathSymbol{\updownharpoons}{\mathrel}{AMSa}{225}
\DeclareMathSymbol{\downupharpoons}{\mathrel}{AMSa}{226}
\DeclareMathSymbol{\upupharpoons}{\mathrel}{AMSa}{227}
\DeclareMathSymbol{\downdownharpoons}{\mathrel}{AMSa}{228}
\DeclareMathSymbol{\undercurvearrowleft}{\mathrel}{AMSa}{229}
\DeclareMathSymbol{\undercurvearrowright}{\mathrel}{AMSa}{230}
\DeclareMathSymbol{\midshaft}    {\mathord}{AMSa}{"39}
\DeclareMathSymbol{\rarrowhead}  {\mathord}{AMSa}{"4B}
\DeclareMathSymbol{\larrowhead}  {\mathord}{AMSa}{"4C}
\DeclareMathSymbol{\lvertneqq}    {\mathrel}{AMSa}{"80}
\DeclareMathSymbol{\gvertneqq}    {\mathrel}{AMSa}{"81}
\DeclareMathSymbol{\lneqq}        {\mathrel}{AMSa}{"88}
\DeclareMathSymbol{\gneqq}        {\mathrel}{AMSa}{"89}
\DeclareMathSymbol{\nleqslant}    {\mathrel}{AMSa}{"8A}
\DeclareMathSymbol{\ngeqslant}    {\mathrel}{AMSa}{"8B}
\DeclareMathSymbol{\lneq}         {\mathrel}{AMSa}{"8C}
\DeclareMathSymbol{\gneq}         {\mathrel}{AMSa}{"8D}
\DeclareMathSymbol{\npreceq}      {\mathrel}{AMSa}{"8E}
\DeclareMathSymbol{\nsucceq}      {\mathrel}{AMSa}{"8F}
\DeclareMathSymbol{\precnsim}     {\mathrel}{AMSa}{"90}
\DeclareMathSymbol{\succnsim}     {\mathrel}{AMSa}{"91}
\DeclareMathSymbol{\lnsim}        {\mathrel}{AMSa}{"92}
\DeclareMathSymbol{\gnsim}        {\mathrel}{AMSa}{"93}
\DeclareMathSymbol{\nleqq}        {\mathrel}{AMSa}{"94}
\DeclareMathSymbol{\ngeqq}        {\mathrel}{AMSa}{"95}
\DeclareMathSymbol{\precneqq}     {\mathrel}{AMSa}{"96}
\DeclareMathSymbol{\succneqq}     {\mathrel}{AMSa}{"97}
\DeclareMathSymbol{\precnapprox}  {\mathrel}{AMSa}{"98}
\DeclareMathSymbol{\succnapprox}  {\mathrel}{AMSa}{"99}
\DeclareMathSymbol{\lnapprox}     {\mathrel}{AMSa}{"9A}
\DeclareMathSymbol{\gnapprox}     {\mathrel}{AMSa}{"9B}
\DeclareMathSymbol{\nsim}         {\mathrel}{AMSa}{"9C}
\DeclareMathSymbol{\diagup}       {\mathord}{AMSa}{"9E}
\DeclareMathSymbol{\diagdown}     {\mathord}{AMSa}{"9F}
\DeclareMathSymbol{\varsubsetneq}   {\mathrel}{AMSa}{160}
\DeclareMathSymbol{\varsupsetneq}   {\mathrel}{AMSa}{161}
\DeclareMathSymbol{\nsubseteqq}     {\mathrel}{AMSa}{162}
\DeclareMathSymbol{\nsupseteqq}     {\mathrel}{AMSa}{163}
\DeclareMathSymbol{\subsetneqq}     {\mathrel}{AMSa}{164}
\DeclareMathSymbol{\supsetneqq}     {\mathrel}{AMSa}{165}
\DeclareMathSymbol{\varsubsetneqq}  {\mathrel}{AMSa}{166}
\DeclareMathSymbol{\varsupsetneqq}  {\mathrel}{AMSa}{167}
\DeclareMathSymbol{\subsetneq}      {\mathrel}{AMSa}{168}
\DeclareMathSymbol{\supsetneq}      {\mathrel}{AMSa}{169}
\DeclareMathSymbol{\nsubseteq}      {\mathrel}{AMSa}{170}
\DeclareMathSymbol{\nsupseteq}      {\mathrel}{AMSa}{171}
\DeclareMathSymbol{\nparallel}      {\mathrel}{AMSa}{172}
\DeclareMathSymbol{\nmid}           {\mathrel}{AMSa}{173}
\DeclareMathSymbol{\nshortmid}      {\mathrel}{AMSa}{174}
\DeclareMathSymbol{\nshortparallel} {\mathrel}{AMSa}{175}
\DeclareMathSymbol{\nvdash}         {\mathrel}{AMSa}{176}
\DeclareMathSymbol{\nVdash}         {\mathrel}{AMSa}{177}
\DeclareMathSymbol{\nvDash}         {\mathrel}{AMSa}{178}
\DeclareMathSymbol{\nVDash}         {\mathrel}{AMSa}{179}
\DeclareMathSymbol{\ntrianglerighteq}{\mathrel}{AMSa}{180}
\DeclareMathSymbol{\ntrianglelefteq}{\mathrel}{AMSa}{181}
\DeclareMathSymbol{\ntriangleleft}  {\mathrel}{AMSa}{182}
\DeclareMathSymbol{\ntriangleright} {\mathrel}{AMSa}{183}
\DeclareMathSymbol{\nleftarrow}     {\mathrel}{AMSa}{184}
\DeclareMathSymbol{\nrightarrow}    {\mathrel}{AMSa}{185}
\DeclareMathSymbol{\nLeftarrow}     {\mathrel}{AMSa}{186}
\DeclareMathSymbol{\nRightarrow}    {\mathrel}{AMSa}{187}
\DeclareMathSymbol{\nLeftrightarrow}{\mathrel}{AMSa}{188}
\DeclareMathSymbol{\nleftrightarrow}{\mathrel}{AMSa}{189}
\DeclareMathSymbol{\divideontimes}  {\mathbin}{AMSa}{190}
\DeclareMathSymbol{\varnothing}     {\mathord}{AMSa}{191}
\DeclareMathSymbol{\nexists}        {\mathord}{AMSa}{192}
\DeclareMathSymbol{\Finv}           {\mathord}{AMSa}{193}
\DeclareMathSymbol{\Game}           {\mathord}{AMSa}{194}
\DeclareMathSymbol{\mho}            {\mathord}{AMSa}{195}
\DeclareMathSymbol{\eth}            {\mathord}{AMSa}{196}
\DeclareMathSymbol{\eqsim}          {\mathrel}{AMSa}{197}
\DeclareMathSymbol{\beth}           {\mathord}{AMSa}{198}
\DeclareMathSymbol{\gimel}          {\mathord}{AMSa}{199}
\DeclareMathSymbol{\daleth}         {\mathord}{AMSa}{200}
\DeclareMathSymbol{\lessdot}        {\mathbin}{AMSa}{201}
\DeclareMathSymbol{\gtrdot}         {\mathbin}{AMSa}{202}
\DeclareMathSymbol{\ltimes}         {\mathbin}{AMSa}{203}
\DeclareMathSymbol{\rtimes}         {\mathbin}{AMSa}{204}
\DeclareMathSymbol{\shortmid}       {\mathrel}{AMSa}{205}
\DeclareMathSymbol{\shortparallel}  {\mathrel}{AMSa}{206}
\let\smallsetminus=\setdif
\DeclareMathSymbol{\thicksim}       {\mathrel}{AMSa}{207}
\DeclareMathSymbol{\thickapprox}    {\mathrel}{AMSa}{208}
\DeclareMathSymbol{\approxeq}       {\mathrel}{AMSa}{209}
\DeclareMathSymbol{\succapprox}     {\mathrel}{AMSa}{210}
\DeclareMathSymbol{\precapprox}     {\mathrel}{AMSa}{211}
\DeclareMathSymbol{\curvearrowleft} {\mathrel}{AMSa}{212}
\DeclareMathSymbol{\curvearrowright}{\mathrel}{AMSa}{213}
\newcommand{\Bbbk}{\mathbb{k}}
\DeclareMathSymbol{\backepsilon}    {\mathrel}{AMSa}{214}
\DeclareMathSymbol{\nsqsubset}      {\mathrel}{AMSa}{215}
\DeclareMathSymbol{\nsqsupset}      {\mathrel}{AMSa}{216}
\let\Box\square
\let\lhd\vartriangleleft
\let\rhd\vartriangleright
\let\unrhd\trianglerighteq
\let\unlhd\trianglelefteq
\let\Join\bowtie
\fi
\def\defaultscriptratio{.7}
\def\defaultscriptscriptratio{.55}
\DeclareMathSizes{5}{5}{5}{5}
\DeclareMathSizes{6}{6}{5}{5}
\DeclareMathSizes{7}{7}{5}{5}
\DeclareMathSizes{8}{8}{6}{5}
\DeclareMathSizes{9}{9}{7}{5.5}
\DeclareMathSizes{\@xpt}{\@xpt}{7}{5.5}
\DeclareMathSizes{\@xipt}{\@xipt}{8}{6}
\DeclareMathSizes{\@xiipt}{\@xiipt}{8}{6}
\DeclareMathSizes{\@xivpt}{\@xivpt}{\@xpt}{7}
\DeclareMathSizes{\@xviipt}{\@xviipt}{\@xiipt}{\@xpt}
\DeclareMathSizes{\@xxpt}{\@xxpt}{\@xivpt}{\@xiipt}
\DeclareMathSizes{\@xxvpt}{\@xxvpt}{\@xxpt}{\@xviipt}
\DeclareTextSymbolDefault{\textless}{LMP1}
\DeclareTextSymbolDefault{\textgreater}{LMP1}
\DeclareTextAccentDefault{\t}{LMP2}
\DeclareTextSymbol{\textless}{LMP1}{`\<}
\DeclareTextSymbol{\textgreater}{LMP1}{`\>}
\DeclareTextAccent{\t}{LMP2}{65}
\DeclareTextSymbolDefault{\textasteriskcentered}{LMP2}
\DeclareTextSymbolDefault{\textbackslash}{LMP2}
\DeclareTextSymbolDefault{\textbar}{LMP2}
\DeclareTextSymbolDefault{\textbraceleft}{LMP2}
\DeclareTextSymbolDefault{\textbraceright}{LMP2}
\DeclareTextSymbolDefault{\textbullet}{LMP2}
\DeclareTextSymbolDefault{\textperiodcentered}{LMP2}
\DeclareTextAccentDefault{\textcircled}{LMP2}
\DeclareTextSymbol{\textasteriskcentered}{LMP2}{3}
\DeclareTextSymbol{\textbackslash}{LMP2}{110}
\DeclareTextSymbol{\textbar}{LMP2}{106}
\DeclareTextSymbol{\textbraceleft}{LMP2}{102}
\DeclareTextSymbol{\textbraceright}{LMP2}{103}
\DeclareTextSymbol{\textbullet}{LMP2}{15}
\DeclareTextSymbol{\textperiodcentered}{LMP2}{1}
\DeclareTextCommand{\textcircled}{LMP2}[1]{{%
   \ooalign{%
      \hfil \raise .07ex\hbox {\upshape#1}\hfil \crcr
      \char13}}}
\@ifpackageloaded{textcomp}{}{%
  \DeclareTextSymbolDefault{\textdagger}{LMP1}
  \DeclareTextSymbolDefault{\textdaggerdbl}{LMP1}
  \DeclareTextSymbolDefault{\textsection}{LMP1}
  \DeclareTextSymbolDefault{\textparagraph}{LMP1}
  \DeclareTextSymbol{\textdagger}{LMP1}{"8E}
  \DeclareTextSymbol{\textdaggerdbl}{LMP1}{"8F}
  \DeclareTextSymbol{\textsection}{LMP1}{"90}
  \DeclareTextSymbol{\textparagraph}{LMP1}{"91}}
\def\@tempa{LY1}
\ifx\encodingdefault\@tempa
    \DeclareMathSymbol{\mathsterling}{\mathord}{operators}{163}
    \let\mathunderscore\@undefined
    \DeclareMathSymbol{\mathunderscore}{\mathord}{operators}{95}
\else
  \def\@tempa{T1}
  \ifx\encodingdefault\@tempa
    \DeclareMathSymbol\mathsterling{\mathord}{operators}{191}
    \let\mathunderscore\@undefined
    \DeclareMathSymbol\mathunderscore{\mathord}{operators}{95}
  \fi
\fi
\begingroup
 \catcode`\_=13
 \gdef_{\futurelet\next\s@@b}
\endgroup
\def\s@@b{\ifcat\relax\noexpand\next\expandafter\sb\else
 \expandafter\s@@b@\fi}
\def\s@@b@#1{\sb{\futurelet\next\sb@#1}}
\def\sb@{%
 \ifx\next\space@\def\next@. {\futurelet\next\sb@}\else
  \def\next@.{%
   \ifx\next f\mkern-\thr@@ mu\else
   \ifx\next j\mkern-\tw@ mu\else
   \ifx\next p\mkern-\tw@ mu\else
   \ifx\next t\mkern\@ne mu\else
   \ifx\next y\mkern-\@ne mu\else
   \ifx\next A\mkern-\tw@ mu\else
   \ifx\next B\mkern-\@ne mu\else
   \ifx\next D\mkern-\@ne mu\else
   \ifx\next H\mkern-\@ne mu\else
   \ifx\next I\mkern-\@ne mu\else
   \ifx\next K\mkern-\@ne mu\else
   \ifx\next L\mkern-\@ne mu\else
   \ifx\next M\mkern-\@ne mu\else
   \ifx\next P\mkern-\@ne mu\else
   \ifx\next X\mkern-\tw@ mu\else
   \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi}%
 \fi
 \next@.}
\mathcode`\_=\string"8000
\DeclareMathSymbol{\mtp@z}{\mathalpha}{letters}{`z}
\DeclareMathSymbol{\mtp@@z}{\mathalpha}{letters}{"B4}
\begingroup
\lccode`\~=`\z
\lowercase{\gdef ~{\ifnum\the\mathgroup=\m@ne \mtp@@z \else \mtp@z \fi}}
\endgroup
\endinput
%%
%% End of file `mtpro2.sty'.