%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% mathml.4ht                            2009-04-18-11:08 %
% Copyright (C) 1999--2009       Eitan M. Gurari         %
%                                                        %
% This work may be distributed and/or modified under the %
% conditions of the LaTeX Project Public License, either %
% version 1.3 of this license or (at your option) any    %
% later version. The latest version of this license is   %
% in                                                     %
%   http://www.latex-project.org/lppl.txt                %
% and version 1.3 or later is part of all distributions  %
% of LaTeX version 2003/12/01 or later.                  %
%                                                        %
% This work has the LPPL maintenance status "maintained".%
%                                                        %
% This Current Maintainer of this work                   %
% is Eitan M. Gurari.                                    %
%                                                        %
% If you modify this program your changing its signature %
% with a directive of the following form will be         %
% appreciated.                                           %
%            \message{signature}                         %
%                                                        %
%                             gurari@cse.ohio-state.edu  %
%                 http://www.cse.ohio-state.edu/~gurari  %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\immediate\write-1{version 2009-04-18-11:08}

\exit:ifnot{Preamble,% 
accents,% 
amsbsy,% 
amscd,% 
amsfonts,% 
amsmath,% 
amsopn,% 
amssymb,% 
amstex,% 
amstex1,% 
amstext,% 
array,% 
bm,% 
dcolumn,% 
etex4ht,% 
fontmath,% 
gauss,% 
latex,% 
mathtools,% 
plain,% 
rlbabel,% 
sistyle,% 
subeqnarray,% 
tex4ht,% 
ushort,% 
vanilla}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{Preamble}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{PROLOG}{VERSION,DOCTYPE,*XML-STYLESHEET}
\:CheckOption{no-DOCTYPE} \if:Option
   \Configure{PROLOG}{VERSION,*XML-STYLESHEET}
\fi
\ifx \a:mathml\:UnDef
   \NewConfigure{mathml}{1}
   \Configure{mathml}{}
\fi
\def\mml:class{\a:mathml class}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{tex4ht}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{DviMath}
    {\a:DviMathML \mathmltrue
       \ifOption{mml-fonts}{}{\NoFonts}%
       \IgnoreRule \HCode{<!--l.
       \the\inputlineno-->}\Tg<\a:mathml math\Hnewline
           \csname a:math-xmlns\endcsname \Hnewline \a:@math>\a:math
       \edef\sv:ignore{\if:nopar
    \noexpand\IgnorePar\else \noexpand\ShowPar\fi}%
\IgnorePar}
    {\Tg</\a:mathml math>\EndIgnoreRule
     \ifOption{mml-fonts}{}{\EndNoFonts}%
     \mathmlfalse \b:DviMathML \sv:ignore
}
\NewConfigure{DviMathML}{2}
\NewConfigure{math-xmlns}{1}
\Configure{math-xmlns}
  { xmlns="http://www.w3.org/1998/Math/MathML" }
\newif\ifmathml \mathmlfalse
\newif\ifmtext \mtextfalse
\LinkCommand\mtxt:link{\a:mathml mtext,%
   xlink:type="simple"
   xmlns:xlink="http://www.w3.org/1999/xlink"
   xlink:href,
   id, \mml:class="label",,}
\LinkCommand\msp:link{\a:mathml mstyle,%
   xlink:type="simple"
   xmlns:xlink="http://www.w3.org/1999/xlink"
   xlink:href,
   id, \mml:class="label",,}
\let\M:Link\Link
\def\Link{\ifmathml
     \ifmtext \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext>}%
              \expandafter\expandafter\expandafter\mtxt:link
     \else    \expandafter\expandafter\expandafter\msp:link\fi
   \else \expandafter\M:Link\fi}
\let\M:EndLink\EndLink
\edef\:temp{\catcode`\#=\the\catcode`\#}
\catcode`\#=12
   \def\EndLink{\ifmathml
      \ifmtext    \ht:special{t4ht@,}%
%
          \Endmtxt:link \HCode{<\a:mathml mtext\Hnewline
                  \mml:class="endlabel">}\ht:special{t4ht@,&#x00A0;}%
%
           \else  \HCode{</\a:mathml mstyle><!--endlabel-->}\fi
       \else \expandafter\M:EndLink\fi}
\:temp

\NewConfigure{math}{1}
\NewConfigure{@math}{1}
\def\IgnoreRule{\ht:special{t4ht@\string_}}
\def\EndIgnoreRule{\ht:special{t4ht@\string_\string_}}
\Configure{$$}
   {\Configure{@math}{%\a:mathml
 display="block"
}\IgnorePar
    \ifvmode\else \HCode{<!--tex4ht:inline-->}\fi
\EndP\DviMath}
   {\EndDviMath\ShowPar\par{\csname HCondtrue\endcsname\noindent}}
   {\DisplayMathtrue}
\Configure{$}
   {\Configure{@math}{%\a:mathml
 display="inline"
}\DviMath}
   {\EndDviMath}{}
\newif\ifDisplayMath  \DisplayMathfalse
\Configure{radical}
  {\Tg<\a:mathml msqrt>%
   \special{t4ht\string~!e<<\a:mathml mrow>}%
   \special{t4ht\string~!e></\a:mathml mrow></\a:mathml msqrt>}%
   \special{t4ht\string~!ee/}%
   \special{t4ht\string~!ese-}%
  }
\def\:MT{\ifmathml \a:mathml m\fi}
\Configure{halignTB}{\HCode{<\:MT table }\halignTBL}{\HCode{>}}
\Configure{halignTBL}
   {t}{}
   {b}{}
   {c}{}
   {}
\def\t:HA{\HCode{</\:MT table>}}
\def\R:HA{\HCode{<\:MT tr \Hnewline style="vertical-align:baseline">}}
\def\r:HA{\HCode{</\:MT tr>}}
\def\D:HA{\SaveEndP
\HCode{<\:MT td
                        \ifnum \HMultispan>1 colspan="\HMultispan"\fi}%
   \halignTD \HCode{\Hnewline>}}
\def\d:HA{\HCode{</\:MT td>}\RecallEndP
}

\Configure{SUB}
   {\Send{BACK}
     {<\a:mathml msub><\a:mathml mrow\Hnewline>}%
     \Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>\trap:base}
   {\Tg</\a:mathml mrow>\TG</\a:mathml msub\Hnewline>}
\Configure{SUP}
   {\Send{BACK}
      {<\a:mathml msup><\a:mathml mrow\Hnewline>}%
      \Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>\trap:base}
   {\Tg</\a:mathml mrow>\TG</\a:mathml msup\Hnewline>}
\Configure{SUBSUP}
   {\Send{BACK}
      {<\a:mathml msubsup><\a:mathml mrow\Hnewline>}%
      \Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>\trap:base}
   {\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>\trap:base}
   {\Tg</\a:mathml mrow>\TG</\a:mathml msubsup\Hnewline>}
\def\trap:base{{\HCode{}}}

\Configure{nolimits}{\HCode{<!--nolimits-->}}
\Configure{limits}
   {\let\pl:SUB =\:UnDef
\let\pl:SUP  =\:UnDef
\ifx \:temp\sp \def\pl:SUP{\Configure{SUP}}%
\expandafter\append:def
   \expandafter\pl:SUP\expandafter{\expandafter{\a:SUP}}%
\expandafter\append:def
   \expandafter\pl:SUP\expandafter{\expandafter{\b:SUP}}%
%
\Configure{SUP}
   {\Send{BACK}{<\a:mathml mover
             \mml:class="msup"><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup
     \ifx \pl:SUBSUP
\:UnDef \else
   \let\SUBSUP:=\pl:SUBSUP
%
\fi
%
     \Configure{SUP}
   {\Send{BACK}{<\a:mathml msup><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup
    \Configure{SUP}
   {\Send{BACK}{<\a:mathml msup><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup \trap:base}
   {\egroup \Tg</\a:mathml mrow>\TG</\a:mathml msup\Hnewline>%
}%
\trap:base}
   {\egroup\Tg</\a:mathml mrow>\TG</\a:mathml mover\Hnewline>\aftergroup\pl:SUP  %
}%
\trap:base}
   {}%
\else
    \ifx \:temp\sb \def\pl:SUB{\Configure{SUB}}%
\expandafter\append:def
   \expandafter\pl:SUB\expandafter{\expandafter{\a:SUB}}%
\expandafter\append:def
   \expandafter\pl:SUB\expandafter{\expandafter{\b:SUB}}%
%
\Configure{SUB}
   {\Send{BACK}{<\a:mathml munder
             \mml:class="msub"><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup
     \ifx \pl:SUBSUP
\:UnDef \else
   \let\SUBSUP:=\pl:SUBSUP
%
\fi
%
     \Configure{SUB}
   {\Send{BACK}{<\a:mathml msub><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup
    \Configure{SUB}
   {\Send{BACK}{<\a:mathml msub><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup \trap:base}
   {\egroup \Tg</\a:mathml mrow>\TG</\a:mathml msub\Hnewline>%
}%
\trap:base}
   {\egroup\Tg</\a:mathml mrow>\TG</\a:mathml
              munder\Hnewline>\aftergroup\pl:SUB %
}%
\trap:base}
   {}%
\fi
\fi
\let\pl:SUBSUP
=\SUBSUP:
%
\Configure{SUBSUP}
   {\ifx \pl:SUB \:UnDef\else  \pl:SUB \fi
    \ifx \pl:SUP  \:UnDef\else  \pl:SUP  \fi
    \ifx \pl:SUBSUP
\:UnDef \else
   \let\SUBSUP:=\pl:SUBSUP
%
\fi
%
    \Send{BACK}
      {<\a:mathml munderover \a:mathml accentunder="false"
                             \a:mathml accent="false"><\a:mathml mrow
          \Hnewline>}%
    \Tg</\a:mathml mrow>\Tg<\a:mathml
           mrow\Hnewline>\trap:base
   }
   {\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>\trap:base}
   {\Tg</\a:mathml mrow>\TG</\a:mathml munderover\Hnewline>}
%
}
\Configure{displaylimits}
   {\ifDisplayMath \expandafter\disp:limits\fi}
\def\disp:limits{\let\pl:SUB =\:UnDef
\let\pl:SUP  =\:UnDef
\ifx \:temp\sp \def\pl:SUP{\Configure{SUP}}%
\expandafter\append:def
   \expandafter\pl:SUP\expandafter{\expandafter{\a:SUP}}%
\expandafter\append:def
   \expandafter\pl:SUP\expandafter{\expandafter{\b:SUP}}%
%
\Configure{SUP}
   {\Send{BACK}{<\a:mathml mover
             \mml:class="msup"><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup
     \ifx \pl:SUBSUP
\:UnDef \else
   \let\SUBSUP:=\pl:SUBSUP
%
\fi
%
     \Configure{SUP}
   {\Send{BACK}{<\a:mathml msup><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup
    \Configure{SUP}
   {\Send{BACK}{<\a:mathml msup><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup \trap:base}
   {\egroup \Tg</\a:mathml mrow>\TG</\a:mathml msup\Hnewline>%
}%
\trap:base}
   {\egroup\Tg</\a:mathml mrow>\TG</\a:mathml mover\Hnewline>\aftergroup\pl:SUP  %
}%
\trap:base}
   {}%
\else
    \ifx \:temp\sb \def\pl:SUB{\Configure{SUB}}%
\expandafter\append:def
   \expandafter\pl:SUB\expandafter{\expandafter{\a:SUB}}%
\expandafter\append:def
   \expandafter\pl:SUB\expandafter{\expandafter{\b:SUB}}%
%
\Configure{SUB}
   {\Send{BACK}{<\a:mathml munder
             \mml:class="msub"><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup
     \ifx \pl:SUBSUP
\:UnDef \else
   \let\SUBSUP:=\pl:SUBSUP
%
\fi
%
     \Configure{SUB}
   {\Send{BACK}{<\a:mathml msub><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup
    \Configure{SUB}
   {\Send{BACK}{<\a:mathml msub><\a:mathml mrow\Hnewline>}%
\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>%
\bgroup \trap:base}
   {\egroup \Tg</\a:mathml mrow>\TG</\a:mathml msub\Hnewline>%
}%
\trap:base}
   {\egroup\Tg</\a:mathml mrow>\TG</\a:mathml
              munder\Hnewline>\aftergroup\pl:SUB %
}%
\trap:base}
   {}%
\fi
\fi
\let\pl:SUBSUP
=\SUBSUP:
%
\Configure{SUBSUP}
   {\ifx \pl:SUB \:UnDef\else  \pl:SUB \fi
    \ifx \pl:SUP  \:UnDef\else  \pl:SUP  \fi
    \ifx \pl:SUBSUP
\:UnDef \else
   \let\SUBSUP:=\pl:SUBSUP
%
\fi
%
    \Send{BACK}
      {<\a:mathml munderover \a:mathml accentunder="false"
                             \a:mathml accent="false"><\a:mathml mrow
          \Hnewline>}%
    \Tg</\a:mathml mrow>\Tg<\a:mathml
           mrow\Hnewline>\trap:base
   }
   {\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>\trap:base}
   {\Tg</\a:mathml mrow>\TG</\a:mathml munderover\Hnewline>}
%
}
\ifx \a:putSUB\:UnDef \else
   \pend:def\a:putSUB{\ifx \pl:SUBSUP
\:UnDef\else
         \let\SUBSUP:=\pl:SUBSUP
%
         \let\pl:SUBSUP
=\:UnDef
      \fi}%
\fi
\ifx \a:putSUP\:UnDef \else
   \pend:def\a:putSUP{\ifx \pl:SUBSUP
\:UnDef\else
         \let\SUBSUP:=\pl:SUBSUP
%
         \let\pl:SUBSUP
=\:UnDef
      \fi}%
\fi

\def\mml:htfsym{\Configure
   {htf}{254}{+}{<\a:mathml mglyph\Hnewline fontfamily="}{\%s"}{
   index="\%s"}{ mathsize="\%d\%\%"}{}{ alt="}{"/>}}
\def\ext:htfsym{\Configure{htf}{254}{+}{}{}{}{}{}{}{}}
\Configure{over}
   {\Send{GROUP}{0}
      {<\a:mathml mfrac><\a:mathml mrow>}\HCode{</\a:mathml mrow>}}
   {\HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}
      {</\a:mathml mrow></\a:mathml mfrac>}}
\Configure{atop}
   {\Send{GROUP}{0}{<\a:mathml mfrac linethickness="0"><\a:mathml mrow>}\HCode{</\a:mathml mrow>}}
   {\HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}}
\Configure{above}
   {\Send{GROUP}{0}{<\a:mathml mfrac linethickness="\the\tmp:dim"><\a:mathml mrow>}%
    \HCode{</\a:mathml mrow>}\o:over:\:gobbleII}
   {\HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}}
\Configure{abovewithdelims}
   {\abovewithdelims:III}
   {}
\def\abovewithdelims:III#1#2#3{%
   \def\:temp{#2#3}\def\:tempa{..}\ifx \:temp\:tempa
      \Send{GROUP}{0}{<\a:mathml mfrac linethickness="\the\tmp:dim"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}
   \else
      \Send{GROUP}{0}{<\a:mathml mfenced separators=""\Hnewline
          open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          linethickness="\the\tmp:dim"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml
                                mrow></\a:mathml mfrac></\a:mathml mfenced>}
   \fi
   \tmp:dim
 }
\Configure{atopwithdelims}
   {\atopwithdelims:III}
   {}
\def\atopwithdelims:III#1#2#3{%
   \def\:temp{#2#3}\def\:tempa{..}\ifx \:temp\:tempa
      \Send{GROUP}{0}{<\a:mathml mfrac linethickness="0"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:atop:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}
   \else
      \Send{GROUP}{0}{<\a:mathml mfenced separators=""\Hnewline
          open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          linethickness="0"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:atop:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml
                              mrow></\a:mathml mfrac></\a:mathml mfenced>}
   \fi
 }
\Configure{overwithdelims}
   {\overwithdelims:III}
   {}
\def\overwithdelims:III#1#2#3{%
   \def\:temp{#2#3}\def\:tempa{..}\ifx \:temp\:tempa
      \Send{GROUP}{0}{<\a:mathml mfrac><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}
   \else
      \Send{GROUP}{0}{<\a:mathml mfenced separators=""\Hnewline
          open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml
                               mrow></\a:mathml mfrac></\a:mathml mfenced>}
   \fi
 }
\Configure{halignTD} {}{}
   {<}{\HCode{ \a:mathml columnalign="left"}}
   {-}{\HCode{ \a:mathml columnalign="center"}}
   {>}{\HCode{ \a:mathml columnalign="right"}}
   {^}{\HCode{ \a:mathml rowalign="top"}}
   {=}{\HCode{ \a:mathml rowalign="baseline"}}
   {|}{\HCode{ \a:mathml rowalign="center"}}
   {_}{\HCode{ \a:mathml rowalign="bottom"}}
   {p}{\HCode{ \a:mathml columnalign="left"}}
   {}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{etex4ht}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \def\:tempc#1{\a:middle\mathrel{\left:right#1\:EMPTY}\b:middle}
\HLet\middle=\:tempc
\NewConfigure{middle}{2}
\Configure{middle}
   {\bgroup
        \Configure{mathrel}{*}
          {<mo \mml:class="MathClass-rel"
                     fence="true" stretchy="true" >}
          {</mo>}
        {\Configure{mathrel}{}{}{}{}}%
        }
        {\egroup}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{latex}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \:CheckOption{core}\if:Option \expandafter\endinput \fi
\let\A:equation\a:equation
\let\B:equation\b:equation
\let\C:equation\c:equation
\Configure{equation}
  {\A:equation\Configure{$$}
   {\Configure{@math}{%\a:mathml
 display="block"
%
                       \mml:class="equation"}\IgnorePar\EndP\DviMath}
   {\EndDviMath\EndP}
   {\DisplayMathtrue}%
}
  {\B:equation}{\C:equation}
\Configure{hspace}
  {\ifmathml\ifmtext\else \Tg<\a:mathml mspace width="\the\tmp:dim"/>\fi\fi}{}{ }
\Configure{romannumeral}
   {\ifmathml\ifmtext\else \HCode{<\a:mathml mrow  \mml:class="romannumeral">}\fi\fi}
   {\ifmathml\ifmtext\else \HCode{</\a:mathml mrow>}\fi\fi}
\Configure{newline}
  {\ht:special{t4ht@,}%
\HCode{</\a:mathml mtext\Hnewline><\a:mathml
                         mtext \mml:class="newline">}\ht:special{t4ht@,&\#x00A0;}%
}
\Configure{[]}
  {\Configure{@math}{%\a:mathml
 display="block"
}\csname a:mathml[]\endcsname
   \DviMath\Tg<\a:mathml mrow\Hnewline>$$\DisplayMathtrue }
  {$$\Tg</\a:mathml mrow>\EndDviMath\csname b:mathml[]\endcsname}
\Configure{()}
  {\Configure{@math}{%\a:mathml
 display="inline"
}\csname a:mathml()\endcsname
   \DviMath\Tg<\a:mathml mrow\Hnewline>$}
  {$\Tg</\a:mathml mrow>\EndDviMath\csname b:mathml()\endcsname}
\NewConfigure{mathml[]}{2}
\NewConfigure{mathml()}{2}
\Configure{halignTB<>}{array}{\HCode{\Hnewline
   \a:mathml equalrows="false"
   \a:mathml columnlines="\columnlines"
   \a:mathml equalcolumns="false" \a:mathml class="array"}<>\HAlign}
\Configure{array}
   {\halignTB{array}}
   {\ifvmode \IgnorePar\fi \expandafter\tmp:toks\expandafter{\Clr}%
\HCode{<!--\the\tmp:toks-->}%
\Tg</\a:mathml mtable>}
   {\Tg<\a:mathml mtr>}{\Tg</\a:mathml mtr>}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="array"
   \ifnum 1<\HMultispan columnspan="\HMultispan"\fi}%
   \halignTD    \HCode{>}%
}
   {\Tg</\a:mathml mtd>}
\ConfigureEnv{array}
   {\bgroup\Configure{$}{}{}{}}
   {\egroup}
   {}{}
\Configure{VBorder}
   {\HAssign\NewGroup = 0
    \HAssign\borderlines = 0
\global\let\columnlines=\relax
}
   {\ifx \columnlines\relax \gHAssign\borderlines = 1
                      \else \gHAdvance\borderlines by 2 \fi
%
    \HAssign\NewGroup = 0}
   {\Advance:\NewGroup by 1
    \ifnum \borderlines>1 \gHAdvance\borderlines by -2 \fi
\ifx \columnlines\relax
    \global\let\columnlines\empty
\else
    \ifnum \NewGroup=1
       \xdef\columnlines{\columnlines\ifx\columnlines\empty
                                     \else \space\fi solid}%
    \else
       \xdef\columnlines{\columnlines\ifx\columnlines\empty
                                     \else \space\fi none}%
    \fi
\fi
}
   {}

\def\:MM{m}
\Configure{HBorder}
   {<\a:mathml mtr\Hnewline \mml:class="hline">}
   {<\a:mathml mtd><mo> \string&\#x0332; </mo></\a:mathml mtd>
}
   {</\a:mathml mtr>}
   {<\a:mathml mtr\Hnewline \mml:class="cline">}
   {<\a:mathml mtd></\a:mathml mtd>}
   {<\a:mathml mtd><mo> \string&\#x0332; </mo></\a:mathml mtd>
}
   {</\a:mathml mtr>}
   {<\a:mathml mtr\Hnewline
         \mml:class="vspace" style="font-size:\HBorderspace">}
   {<\a:mathml mtd\Hnewline></\a:mathml mtd>}
   {</\a:mathml mtr>}
\Configure{texttt}
   {\ifmathml \Configure{@mtext}{\mml:class="texttt"
         mathvariant="monospace" }\fi}
   {}%
\Configure{textit}
   {\ifmathml \Configure{@mtext}{\mml:class="textit"
         mathvariant="italic" }\fi}
   {}%
\Configure{textrm}
   {\ifmathml \Configure{@mtext}{\mml:class="textrm"
         mathvariant="normal" }\fi}
   {}%
\Configure{textup}
   {\ifmathml \Configure{@mtext}{\mml:class="textup"
         mathvariant="normal" }\fi}
   {}%
\Configure{textsl}
   {\ifmathml \Configure{@mtext}{\mml:class="textsl"
         mathvariant="italic" }\fi}
   {}%
\Configure{textsf}
   {\ifmathml \Configure{@mtext}{\mml:class="textsf"
         mathvariant="sans-serif" }\fi}
   {}%
\Configure{textbf}
   {\ifmathml \Configure{@mtext}{\mml:class="textbf"
         mathvariant="bold" }\fi}
   {}%
\Configure{textsc}
   {\ifmathml \Configure{@mtext}{\mml:class="textsc"
         mathvariant="normal" }\fi}
   {}%
\Configure{emph}
   {\ifmathml \Configure{@mtext}{\mml:class="emph"
         mathvariant="italic" }\fi}
   {}%

\let\A:fbox=\a:fbox
\let\B:fbox=\b:fbox
\let\OLDn:fbox:\n:fbox:
\def\OLDf:box{\ifx \EndPicture \:UnDef
    \expandafter \OLDn:fbox: \else\expandafter \o:fbox: \fi}
\def\:temp{\relax\ifmmode
    \Configure{fbox}{\leavevmode\Configure{HtmlPar}{}{}{}{}\IgnoreRule
                     \AA:text{fbox}}{\BB:text\EndIgnoreRule}\else
    \Configure{fbox}{\leavevmode
                     \IgnoreRule\A:fbox}{\B:fbox\EndIgnoreRule}\fi
    \OLDf:box}
\HLet\fbox\:temp
\let\A:mbox\a:mbox
\let\B:mbox\b:mbox
\let\OLD:mbox\mbox
\def\mbox{\relax\ifmmode \Configure{mbox}{\AA:text{mbox}}{\BB:text}\else
                   \Configure{mbox}{\A:mbox}{\B:mbox}\fi\OLD:mbox}
\NewConfigure{@mtext}{1}
\Configure{@mtext}{ }
\def\AA:text#1{\mtexttrue
\HCode{<\a:mathml mstyle\Hnewline \mml:class="#1"><\a:mathml
   mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \Configure{$}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}}%
  {\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
\Configure{()}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}$}%
  {$\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
%
}
\def\BB:text{\mtextfalse\EndPauseMathClass\ht:special{t4ht@,}%
\HCode
     {</\a:mathml mtext></\a:mathml mstyle>}%
}

\Configure{frac}
   {\Tg<\a:mathml mfrac>\Tg<\a:mathml mrow\Hnewline>}
   {\Tg</\a:mathml mrow>\Configure{over}{}{}}
   {\Tg<\a:mathml mrow\Hnewline>}
   {\Tg</\a:mathml mrow>\Tg</\a:mathml mfrac>}
\ConfigureEnv{eqnarray}
   {\ifvmode \IgnorePar \fi \EndP}
   {\ifvmode \IgnorePar \fi \EndP \ShowPar \par}
   {}{}
\Configure{eqnarray}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="eqnarray\ifx
       \@seqncr\@eqncr\else-star\fi"
       \a:mathml columnalign="right center left" >}}%
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}  {\HCode{</\a:mathml mtr>}}
   {\Tg<\a:mathml mtd\Hnewline \mml:class="eqnarray-\HCol">
      \ifnum \HCol=4
        \Tg<\a:mathml mtext
             \mml:class="eqnarray">\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
        \mtexttrue
        \Configure{$}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}}%
  {\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
\Configure{()}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}$}%
  {$\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
%
      \fi}
   {\ifnum \HCol=4 \mtextfalse
      \EndPauseMathClass\ht:special{t4ht@,}%
\Tg</\a:mathml mtext>\fi
      \Tg</\a:mathml mtd>}
\def\:temp#1#2{{\a:stackrel{#1}\b:stackrel {#2}\c:stackrel}}
\HLet\stackrel\:temp
\:CheckOption{stackrel-}     \if:Option
   \Configure{stackrel}
      {\mathrel\bgroup \HCode{<\a:mathml mglyph\Hnewline
          alt="\string\stackrel}\afterassignment\put:arg\tmp:toks}
      {\afterassignment\put:arg\tmp:toks}
      {\HCode{" />}\egroup}
   \def\put:arg{\HCode{{\the\tmp:toks}}}
\else
   \Configure{stackrel}
     {\HCode{<\a:mathml mover\Hnewline
             \mml:class="stackrel"><\a:mathml mrow\Hnewline>}\inv:i:iii}
     {\HCode{</\a:mathml mrow><\a:mathml
               mrow\Hnewline>}\Configure{mathop*}{*}
         {<\a:mathml mrow>}
         {</\a:mathml mrow>}
         {\Configure{mathop}{}{}{}{}}%
\mathop}
     {\HCode{</\a:mathml mrow></\a:mathml mover>}}
   \def\inv:i:iii#1#2#3{{#3}#2{#1}}
\fi
\Configure{overline}
   {\bgroup \HCode{<\a:mathml mover  accent="false"\Hnewline
\mml:class="mml-overline"><\a:mathml mrow>}%
}
   {\HCode{</\a:mathml mrow><\a:mathml mo\Hnewline
 accent="true">&\#x00AF;</\a:mathml mo>%
</\a:mathml mover>}%
\egroup}
\Configure{underline}
   {\bgroup \ifmmode \HCode{<\a:mathml munder \a:mathml accentunder="false"\Hnewline
\mml:class="mml-underline"><\a:mathml mrow>}%
\else
     \expandafter\everymath
\expandafter{\expandafter\everymath
             \expandafter{\the\everymath}}%
\let\o::@underline:\o:@@underline:
\def\o:@@underline:{\let\o:@@underline:\o::@underline:}%
\fi}
   {\HCode{</\a:mathml mrow><\a:mathml mo\Hnewline
accent="true">&\#x0332;</\a:mathml mo></\a:mathml munder>}%
\egroup}




\let\A:displaylines\a:displaylines
\let\B:displaylines\b:displaylines
\let\C:displaylines\c:displaylines
\let\D:displaylines\d:displaylines
\Configure{displaylines}
   {\ifmmode
     \def\A:displaylines{\HCode{<\a:mathml mtable
                                   \mml:class="displaylines">}}%
     \def\B:displaylines{\HCode{</\a:mathml mtable>}}%
     \def\C:displaylines{\HCode{<\a:mathml mtr\Hnewline
                              \mml:class="displaylines"><\a:mathml mtd>}}%
     \def\D:displaylines{\HCode{</\a:mathml mtd></\a:mathml mtr>}}%
    \fi
    \A:displaylines}
   {\B:displaylines} {\C:displaylines}{\D:displaylines}
\let\mathml:on\relax
\Configure{ }
   {\ifmathml \ifmtext \space \else\Tg<\a:mathml mspace
    width="1em" \mml:class="nbsp" />\fi
    \else \:nbsp\fi}
\:CheckOption{new-accents}     \if:Option \else
  \Configure{accent}\widetilde\widetilde{{}{}}
  {}
  {\HCode{<\a:mathml mover\Hnewline accent="false"><\a:mathml mrow\Hnewline>}#2\HCode{</\a:mathml mrow>}%
    \:widetilde:over  \HCode{</\a:mathml mover>}}
  \Configure{accent}\widehat\widehat{{}{}}
  {}
  {\HCode{<\a:mathml mover\Hnewline accent="false"><\a:mathml mrow\Hnewline>}#2\HCode{</\a:mathml mrow>}%
    \:widehat:over  \HCode{</\a:mathml mover>}}
\fi
\:CheckOption{new-accents}     \if:Option \else
   \ifx \mathml:on\:UnDef
      \Configure{accents}
        {\ifmmode \expandafter\mathord\fi
         {\leavevmode
\if !#1!\ht:special{t4ht@+\string&{35}x#2;}%
\else \expandafter \ifx\csname U#2#1\endcsname\relax
    \ht:special{t4ht@+\string&{35}x#2;}%
\else
    \ht:special{t4ht@+\string&{35}x\csname U#2#1\endcsname;}%
\fi \fi x%
%
          \ht:special{t4ht@[}\if!#1!x\else#2\fi\ht:special{t4ht@]}}}
        {\Tg<\a:mathml mrow
                \mml:class="accent#1">\mathord{#3}\Tg</\a:mathml mrow>%
        }%
   \fi
\fi
\let\mml:TeX\TeX
\def\TeX{\ifmathml
   \HCode{<\a:mathml mtext
      \mml:class="TeX">TeX</\a:mathml mtext>}\else \mml:TeX\fi}
\Configure{afterSUB}{'}{\def\SUB:prime{\SUB:SUP}}
\Configure{'}
   {\let\:primes=\empty}
   {\relax \csname SUB:prime\endcsname\sp{%
      \global\let\SUB:prime=\:UnDef
      \def\:tempa{\prime\prime}\ifx \:tempa\:primes
              \mathop{\HCode{\string&\#x2033;}}\else
      \def\:tempa{\prime\prime\prime}\ifx \:tempa\:primes
              \mathop{\HCode{\string&\#x2034;}}\else
              \:primes \fi\fi}%
   }
   {\let\prime=\relax \xdef\:primes{\:primes\prime}}
\def\:temp#1{\a:left{#1}\o:left:.\b:left{#1}}   \HLet\left\:temp
\def\:temp#1{\a:right{#1}\o:right:.\b:right{#1}}\HLet\right\:temp
\Configure{left}
   {}
   {\HCode{<\a:mathml mfenced separators=""\Hnewline
       open="\expandafter
\ifx \csname \string#1:lr del\endcsname\relax #1\else
     \csname \string#1:lr del\endcsname\fi
"\space }\bgroup
                              \HCode{><\a:mathml mrow>}\bgroup}
\Configure{right}
   {\egroup\Send{GROUP}{0}{ close="\expandafter
\ifx \csname \string#1:lr del\endcsname\relax #1\else
     \csname \string#1:lr del\endcsname\fi
"\space}\egroup}
   {\HCode{</\a:mathml mrow></\a:mathml mfenced>}}
\def\def:DEL#1{\def\:DEL{#1}}
\def\check:DEL#1#2{\def\:tempa{#1}\ifx \:tempa\:DEL \def\:DEL{#2}\fi}
\NewConfigure{mfenced}[2]{\append:defI\def:DEL{\check:DEL{#1}{#2}}}
\NewConfigure{Biggl}{2}
\NewConfigure{Biggm}{2}
\NewConfigure{Biggr}{2}
\NewConfigure{Bigl}{2}
\NewConfigure{Bigm}{2}
\NewConfigure{Bigr}{2}
\NewConfigure{biggl}{2}
\NewConfigure{biggm}{2}
\NewConfigure{biggr}{2}
\NewConfigure{bigl}{2}
\NewConfigure{bigm}{2}
\NewConfigure{bigr}{2}
\Configure{Biggm}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathrel}{*}
          {<mo \mml:class="MathClass-rel"
                     fence="true" mathsize="2.45em" >}
          {</mo>}
          {\Configure{mathrel}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigm}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathrel}{*}
          {<mo \mml:class="MathClass-rel"
                     fence="true" mathsize="1.61em" >}
          {</mo>}
          {\Configure{mathrel}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggm}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathrel}{*}
          {<mo \mml:class="MathClass-rel"
                     fence="true" mathsize="2.03em" >}
          {</mo>}
          {\Configure{mathrel}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigm}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathrel}{*}
          {<mo \mml:class="MathClass-rel"
                     fence="true" mathsize="1.19em" >}
          {</mo>}
          {\Configure{mathrel}{}{}{}{}}%
   }
   {\egroup}

\:CheckOption{mathml-}     \if:Option
   \Configure{Biggl}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mo \mml:class="MathClass-open"
                     fence="true" mathsize="2.45em" >}
          {</mo>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{Biggr}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathclose}{*}
          {<mo \mml:class="MathClass-close"
                     fence="true" mathsize="2.45em" >}
          {</mo>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigl}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mo \mml:class="MathClass-open"
                     fence="true" mathsize="1.61em" >}
          {</mo>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigr}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathclose}{*}
          {<mo \mml:class="MathClass-close"
                     fence="true" mathsize="1.61em" >}
          {</mo>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggl}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mo \mml:class="MathClass-open"
                     fence="true" mathsize="2.03em" >}
          {</mo>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggr}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathclose}{*}
          {<mo \mml:class="MathClass-close"
                     fence="true" mathsize="2.03em" >}
          {</mo>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigl}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mo \mml:class="MathClass-open"
                     fence="true" mathsize="1.19em" >}
          {</mo>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigr}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathclose}{*}
          {<mo \mml:class="MathClass-close"
                     fence="true" mathsize="1.19em" >}
          {</mo>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}

\else
   \Configure{Biggl}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><mo \mml:class="MathClass-open"
                     fence="true" mathsize="2.45em" >}
          {</mo><mrow>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{Biggr}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathclose}{*}
          {</mrow><mo \mml:class="MathClass-close"
                     fence="true" mathsize="2.45em" >}
          {</mo></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigl}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><mo \mml:class="MathClass-open"
                     fence="true" mathsize="1.61em" >}
          {</mo><mrow>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigr}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathclose}{*}
          {</mrow><mo \mml:class="MathClass-close"
                     fence="true" mathsize="1.61em" >}
          {</mo></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggl}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><mo \mml:class="MathClass-open"
                     fence="true" mathsize="2.03em" >}
          {</mo><mrow>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggr}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathclose}{*}
          {</mrow><mo \mml:class="MathClass-close"
                     fence="true" mathsize="2.03em" >}
          {</mo></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigl}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><mo \mml:class="MathClass-open"
                     fence="true" mathsize="1.19em" >}
          {</mo><mrow>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigr}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathclose}{*}
          {</mrow><mo \mml:class="MathClass-close"
                     fence="true" mathsize="1.19em" >}
          {</mo></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}

\fi
\def\:tempc#1{\ht:special{t4ht@[}(\ht:special{t4ht@]}%
   \a:bigl\mathopen{\left:right\big{#1\:EMPTY}}\b:bigl\:EMPTY}
\HLet\bigl=\:tempc
\def\:tempc#1{\a:bigm\mathrel{\left:right\big{#1\:EMPTY}}\b:bigm}
\HLet\bigm=\:tempc
\def\:tempc#1{\:EMPTY
   \a:bigr\mathclose{\left:right\big{#1\:EMPTY}}\b:bigr%
   \ht:special{t4ht@[})\ht:special{t4ht@]}}
\HLet\bigr=\:tempc
\def\:tempc#1{\ht:special{t4ht@[}(\ht:special{t4ht@]}%
  \a:Bigl\mathopen{\left:right\Big{#1}\:EMPTY}\b:Bigl\:EMPTY}
\HLet\Bigl=\:tempc
\def\:tempc#1{\a:Bigm\mathrel{\left:right\Big{#1\:EMPTY}}\b:Bigm}
\HLet\Bigm=\:tempc
\def\:tempc#1{\:EMPTY
   \a:Bigr\mathclose{\left:right\Big{#1\:EMPTY}}\b:Bigr%
   \ht:special{t4ht@[})\ht:special{t4ht@]}}
\HLet\Bigr=\:tempc
\def\:tempc#1{\ht:special{t4ht@[}(\ht:special{t4ht@]}%
  \a:biggl\mathopen{\left:right\bigg{#1\:EMPTY}}\b:biggl\:EMPTY}
\HLet\biggl=\:tempc
\def\:tempc#1{\a:biggm\mathrel{\left:right\bigg{#1\:EMPTY}}\b:biggm}
\HLet\biggm=\:tempc
\def\:tempc#1{\:EMPTY
   \a:biggr\mathclose{\left:right\bigg{#1\:EMPTY}}\b:biggr%
   \ht:special{t4ht@[})\ht:special{t4ht@]}}
\HLet\biggr=\:tempc
\def\:tempc#1{\ht:special{t4ht@[}(\ht:special{t4ht@]}%
  \a:Biggl\mathopen{\left:right\Bigg{#1\:EMPTY}}\b:Biggl\:EMPTY}
\HLet\Biggl=\:tempc
\def\:tempc#1{\a:Biggm\mathrel{\left:right\Bigg{#1\:EMPTY}}\b:Biggm}
\HLet\Biggm=\:tempc
\def\:tempc#1{\:EMPTY
   \a:Biggr\mathclose{\left:right\Bigg{#1}\:EMPTY}\b:Biggr
   \ht:special{t4ht@[})\ht:special{t4ht@]}}
\HLet\Biggr=\:tempc
\def\:EMPTY{{\HCode{}}}
\def\left:right{%
   \let\left\o:left:
   \let\right\o:right:
   \Configure{left}{}{}\Configure{right}{}{}}

\:CheckOption{new-accents}     \if:Option \else
   \Configure{accents}
  {\ifmmode \expandafter\mathord\fi
     {\leavevmode
\if !#1!\ht:special{t4ht@+\string&{35}x#2;}%
\else \expandafter \ifx\csname U#2#1\endcsname\relax
    \ht:special{t4ht@+\string&{35}x#2;}%
\else
    \ht:special{t4ht@+\string&{35}x\csname U#2#1\endcsname;}%
\fi \fi x%
%
   \ht:special{t4ht@[}\if!#1!x\else#2\fi
   \ht:special{t4ht@]}}}
  {\ifmathml
      \ifmtext \expandafter\ifx \csname :#1:over\endcsname\relax
   \expandafter\ifx \csname :#1:under\endcsname\relax
      \AccentMath{\expandafter\ifx \csname :#1:over\endcsname\relax
  \HCode{<\a:mathml munder\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
      \csname :#1:under\endcsname
   \HCode{</\a:mathml munder>}%
%
\else \expandafter\ifx \csname :#1:under\endcsname\relax
  \HCode{<\a:mathml mover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:over\endcsname
   \HCode{</\a:mathml mover>}%
%
\else
  \HCode{<\a:mathml munderover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:under\endcsname
   \csname :#1:over\endcsname
   \HCode{</\a:mathml munderover>}%
%
\fi \fi
}%
   \else #3\csname :#1:under\endcsname \fi
\else #3\csname :#1:over\endcsname \fi
%
      \else    \AccentMath{\expandafter\ifx \csname :#1:over\endcsname\relax
  \HCode{<\a:mathml munder\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
      \csname :#1:under\endcsname
   \HCode{</\a:mathml munder>}%
%
\else \expandafter\ifx \csname :#1:under\endcsname\relax
  \HCode{<\a:mathml mover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:over\endcsname
   \HCode{</\a:mathml mover>}%
%
\else
  \HCode{<\a:mathml munderover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:under\endcsname
   \csname :#1:over\endcsname
   \HCode{</\a:mathml munderover>}%
%
\fi \fi
}\fi
   \else       \expandafter\ifx \csname :#1:over\endcsname\relax
   \expandafter\ifx \csname :#1:under\endcsname\relax
      \AccentMath{\expandafter\ifx \csname :#1:over\endcsname\relax
  \HCode{<\a:mathml munder\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
      \csname :#1:under\endcsname
   \HCode{</\a:mathml munder>}%
%
\else \expandafter\ifx \csname :#1:under\endcsname\relax
  \HCode{<\a:mathml mover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:over\endcsname
   \HCode{</\a:mathml mover>}%
%
\else
  \HCode{<\a:mathml munderover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:under\endcsname
   \csname :#1:over\endcsname
   \HCode{</\a:mathml munderover>}%
%
\fi \fi
}%
   \else #3\csname :#1:under\endcsname \fi
\else #3\csname :#1:over\endcsname \fi
\fi
  }

\fi
\def\mathinner#1{\Tg<\a:mathml mrow
   \mml:class="mathinner">#1\Tg</\a:mathml mrow>}
\Configure{root}{\rev:root}{}{}
\def\rev:root #1\b:root#2\c:root{
   \Tg<\a:mathml mroot>{\Tg<\a:mathml mrow\Hnewline>#2\Tg</\a:mathml mrow>}%
             {\Tg<\a:mathml mrow\Hnewline>#1\Tg</\a:mathml mrow>}\Tg</\a:mathml mroot>}
\def\AccentMath#1{\relax\ifmmode #1\else $#1$\fi}
\NewConfigure{mfenced}[2]{\expandafter
   \def\csname \string#1:lr del\endcsname{#2}}
\Configure{mfenced}{\|}{\string&\#x2225;}
\Configure{mfenced}{.}{}
\Configure{mfenced}{\langle}{\string&\#x27E8;} 
\Configure{mfenced}{\rangle}{\string&\#x27E9;} 
\Configure{mfenced}{\vert}{|}
\edef\:temp{\noexpand\Configure{mfenced}{\noexpand\{}{\string{}}\:temp
\edef\:temp{\noexpand\Configure{mfenced}{\noexpand\}}{\string}}}\:temp
\edef\:temp{\noexpand
   \Configure{mfenced}{\noexpand\lbrace}{\string{}}\:temp
\edef\:temp{\noexpand
   \Configure{mfenced}{\noexpand\rbrace}{\string}}}\:temp
\Configure{mfenced}{<}{\string&\#x003C;} 
\Configure{mfenced}{>}{\string&\#x003E;} 
\Configure{mfenced}{\lceil}{\string&\#x2308;}
\Configure{mfenced}{\rceil}{\string&\#x2309;}
\Configure{mfenced}{\lfloor}{\string&\#x230A;}
\Configure{mfenced}{\rfloor}{\string&\#x230B;}
\Configure{mfenced}{\Vert}{\string&\#x2225;}
\Configure{mfenced}{\rgroup}{)}
\Configure{mfenced}{\lgroup}{(}
\Configure{mfenced}{\bracevert}{|}
\Configure{mfenced}{\bracevert}{|}
\Configure{mfenced}{\downarrow}{\string&\#x2193;}
\Configure{mfenced}{\uparrow}{\string&\#x2191;}
\Configure{mfenced}{\Uparrow}{\string&\#x21D1;}
\Configure{mfenced}{\updownarrow}{\string&\#x2195;}
\Configure{mfenced}{\Updownarrow}{\string&\#x21D5;}
\Configure{mfenced}{\Downarrow}{\string&\#x21D3;}
\Configure{mfenced}{\backslash}{\string&\#x2216;}
\Configure{mfenced}{\rmoustache}{\string&\#x25DD;}
\Configure{mfenced}{\lmoustache}{\string&\#x25DC;}
\Configure{mfenced}{\Arrowvert}{\string&\#x2225;}
\Configure{mfenced}{\arrowvert}{\string&\#x007C;}

\let\A:oalign\a:oalign
\let\B:oalign\b:oalign
\Configure{oalign}
   {\ifmmode \Configure{$}{\Tg<\a:mathml mrow\Hnewline>}%
                          {\Tg</\a:mathml mrow>}{}%
             \let\halign\TeXhalign
             \Tg<\a:mathml mrow\Hnewline \mml:class="oalign">\else\A:oalign
    \fi}
   {\ifmmode \Tg</\a:mathml mrow>\else\B:oalign\fi}
\def\mathop:prefix#1{%
   \Configure{mathop}{*}{<\a:mathml mo #1\Hnewline>}{</\a:mathml mo>}%
    {\Configure{mathop}{*}{<\a:mathml mo>}{</\a:mathml mo>}{}}}
\def\:nbsp{\ifmtext \leavevmode\special{t4ht@+\string&{35}x00A0{59}}x%
\else\ifmathml
    \Tg<\a:mathml mspace />\else \leavevmode\special{t4ht@+\string&{35}x00A0{59}}x%
\fi\fi}
\Configure{cases}
    {}{} {\Tg<\a:mathml mtable>}{\Tg</\a:mathml mtable>}
    {\Tg<\a:mathml mtr>}{\Tg</\a:mathml mtr>}
    {\Tg<\a:mathml mtd \mml:class="cases">}{\Tg</\a:mathml mtd>}
\Configure{matrix}
   {\Tg<\a:mathml mtable
        \a:mathml equalrows="false" \a:mathml equalcolumns="false"\Hnewline
          \mml:class="matrix">}
   {\Tg</\a:mathml mtable>}
   {\Tg<\a:mathml mtr>}{\Tg</\a:mathml mtr>}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="matrix"
   \ifnum 1<\HMultispan columnspan="\HMultispan"\fi}%
   \halignTD    \HCode{>}%
}{\Tg</\a:mathml mtd>}
\Configure{pmatrix}  {\bgroup\Tg<\a:mathml mrow\Hnewline
   \mml:class="pmatrix">}  {\Tg</\a:mathml mrow>\egroup}
\Configure{quad}{{\ifmathml \ifmtext \o:quad:\else
   {\HCode{<\a:mathml mspace width="1em" \mml:class="quad"/>}}\fi
    \else \o:quad: \fi}}
\Configure{qquad}{{\ifmathml \ifmtext \o:qquad:\else
   {\HCode{<\a:mathml mspace width="2em" \mml:class="qquad"/>}}\fi
    \else \o:qquad: \fi}}
\Configure{,}
   {{\HCode{<\a:mathml mspace width="0em" \mml:class="thinspace"/>}}}

\def\:tempb#1{%
   \expandafter\let\expandafter\:tempc\csname #1\endcsname
   \append:def\:tempc{\limits}%
   \expandafter\HLet\csname #1\endcsname\:tempc
}
\:tempb{lim}
\:tempb{limsup}
\:tempb{liminf}
\:tempb{max}
\:tempb{min}
\:tempb{sup}
\:tempb{inf}
\:tempb{det}
\:tempb{Pr}
\:tempb{gcd}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%







%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{fontmath}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \ifx \tmp:bx\:UnDef \csname newbox\endcsname \tmp:bx \fi
\ifx \find:set:mgroup\:UnDef
   \def\find:set:mgroup#1#2#3{\bgroup
     \def\use@mathgroup##1##2##3{\relax
       \tmp:cnt=##2%
       \xdef\:temp####1{\noexpand\Configure{MathClass}{#2}%
           {}{}{}{\mathchar"0\the\tmp:cnt ####1}}%
     }%
     \setbox\tmp:bx=\hbox{$#1$}\setbox\tmp:bx=\hbox{}%
     \set:mgroup#3{}{}%
     \egroup
   }
\fi
\def\set:mgroup#1#2{\if :#1#2:\else
   \:temp{#1#2}\expandafter\set:mgroup \fi}

\ifx \mathboldcalMathClass\:UnDef
  \NewMathClass\mathboldcalMathClass
\fi
\Configure{MathClass}{\mathboldcalMathClass}{*}
    {<\a:mathml mi\Hnewline
         mathvariant="bold-script">}{</\a:mathml mi>}{}

\expandafter\ifx\csname mv@bold\endcsname\relax  \else
\bgroup
\mathversion{bold}%
\find:set:mgroup{\mathcal{A}}{\mathboldcalMathClass}%
  {4142434445464748494A4B4C4D4E4F505152535455565758595A} 
\egroup
\fi

\expandafter\ifx \csname o@everypar\endcsname\relax \else
\expandafter\ifx \csname ht:everypar\endcsname\relax
  \let\ht:everypar\o@everypar
\fi\fi

\Configure{MathClass}{1}{}{}{}{
   \mathchar"1360
   \mathchar"1357
   \mathchar"1356
   \mathchar"1355
   \mathchar"1354
   \mathchar"1353
   \mathchar"1352
   \mathchar"1351
   \mathchar"1350
   \mathchar"134E
   \mathchar"134C
   \mathchar"134A
   \mathchar"1348
   \mathchar"1346
   \mathchar"1273
   \mathchar"3234 
\mathchar"3238 
\mathchar"3239 
\mathchar"323A 
\mathchar"323E 
\mathchar"323F 
\mathchar"3272 
\mathchar"3278 
\mathchar"327B 
\mathchar"327C 
\mathchar"327D 
\mathchar"327E 
\mathchar"327F 
%
}
\Configure{MathClass}{2}{}{}{}{
*-+/
\mathchar"212F
\mathchar"212E
\mathchar"2234
\mathchar"2235
\mathchar"225E
\mathchar"225F
\mathchar"225C
\mathchar"225B
\mathchar"227A
\mathchar"2279
\mathchar"2275
\mathchar"2274
\mathchar"225D
\mathchar"2271
\mathchar"2205
\mathchar"220F
\mathchar"226F
\mathchar"2204
\mathchar"220C
\mathchar"220B
\mathchar"220A
\mathchar"2209
\mathchar"2208
\mathchar"2207
\mathchar"2206
\mathchar"220E
\mathchar"220D
\mathchar"226E
\mathchar"2201
\mathchar"2203
\mathchar"2202
\mathchar"213F
\mathchar"6201 % cdot
}
\Configure{MathClass}{3}{}{}{}{
   \mathchar"3128
   \mathchar"3129
   \mathchar"312A
   \mathchar"312B
   \mathchar"315E
   \mathchar"315F
   \mathchar"3210
   \mathchar"3211
   \mathchar"3212
   \mathchar"3213
   \mathchar"3214
   \mathchar"3215
   \mathchar"3216
   \mathchar"3217
   \mathchar"3218
   \mathchar"3219
   \mathchar"321A
   \mathchar"321B
   \mathchar"321C
   \mathchar"321D
   \mathchar"321E
   \mathchar"321F
   \mathchar"3220
   \mathchar"3221
   \mathchar"3224
   \mathchar"3227
   \mathchar"3232
   \mathchar"3233
   \mathchar"3236
   \mathchar"3237
   \mathchar"323F
   :=><
   \mathchar"322F
   \mathchar"3276
   \mathchar"3277
   \mathchar"326B
   \mathchar"326A
   \mathchar"3261
   \mathchar"3260
   \mathchar"3225
   \mathchar"3226
   \mathchar"322D
   \mathchar"322E
   \mathchar"322C
   \mathchar"3228
   \mathchar"3229
}
\Configure{MathClass}{4}{}{}{}{}
\Configure{MathDelimiters}{(}{)}
\Configure{MathDelimiters}{[}{]}
\Configure{MathDelimiters}{\mathchar"4262}{\mathchar"5263}
\Configure{MathDelimiters}{\mathchar"4264}{\mathchar"5265}
\Configure{MathDelimiters}{\mathchar"4266}{\mathchar"5267}
\Configure{MathDelimiters}{\mathchar"4268}{\mathchar"5269}
\Configure{MathDelimiters}{\mathchar"4300}{\mathchar"5301}
\Configure{MathDelimiters}{\mathchar"4302}{\mathchar"5303}
\Configure{MathDelimiters}{\mathchar"4304}{\mathchar"5305}
\Configure{MathDelimiters}{\mathchar"4306}{\mathchar"5307}
\Configure{MathDelimiters}{\mathchar"4308}{\mathchar"5309}
\Configure{MathDelimiters}{\mathchar"430A}{\mathchar"530B}
\Configure{MathClass}{6}{}{}{}{
\mathchar"613A % ldot
\mathchar"603A % colon
!?; ,
}

\Configure{overrightarrow}
  {\leavevmode\hbox\bgroup$\Tg<\a:mathml mover class="overrightarrow">%
   \Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\mathop{\HCode{&\#x20D7;}}%
   \Tg</\a:mathml mover>$\egroup}
\Configure{overleftarrow}
  {\leavevmode\hbox\bgroup$\Tg<\a:mathml mover class="overleftarrow">%
   \Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\mathop{\HCode{&\#x20D6;}}%
   \Tg</\a:mathml mover>$\egroup}
\Configure{big}
   {}{}
   {\HCode{<\a:mathml mstyle mathsize="1.19em">}}
   {\HCode{</\a:mathml mstyle>}}
\Configure{Big}
   {}{}
   {\HCode{<\a:mathml mstyle mathsize="1.61em">}}
   {\HCode{</\a:mathml mstyle>}}
\Configure{bigg}
   {}{}
   {\HCode{<\a:mathml mstyle mathsize="2.03em">}}
   {\HCode{</\a:mathml mstyle>}}
\Configure{Bigg}
   {}{}
   {\HCode{<\a:mathml mstyle mathsize="2.45em">}}
   {\HCode{</\a:mathml mstyle>}}
\def\:tempc#1{{\hbox{\a:big$\c:big
   \left#1\hbox{}\right.\n@space\d:big$\b:big}}}
\HLet\big=\:tempc
\def\:tempc#1{{\hbox{\a:Big$\c:Big
   \left#1\hbox{}\right.\n@space\d:Big$\b:Big}}}
\HLet\Big=\:tempc
\def\:tempc#1{{\hbox{\a:bigg$\c:bigg
   \left#1\hbox{}\right.\n@space\d:bigg$\b:bigg}}}
\HLet\bigg=\:tempc
\def\:tempc#1{{\hbox{\a:Bigg$\c:Bigg
   \left#1\hbox{}\right.\n@space\d:Bigg$\b:Bigg}}}
\HLet\Bigg=\:tempc
\Configure{overbrace}
   {\Configure{mathop*}{*}
         {<\a:mathml mover \a:mathml accent="false"><\a:mathml mrow>}
         {</\a:mathml mrow><\a:mathml mo>\string
               &\#xFE37;</\a:mathml mo></\a:mathml mover>}
         {\Configure{mathop}{}{}{}{}}%
   }
   {\let\o:overbrace:=\displaystyle}
   {}
\Configure{underbrace}
   {\Configure{mathop*}{*}
         {<\a:mathml munder
                 \a:mathml accentunder="false"><\a:mathml mrow>}
         {</\a:mathml mrow><\a:mathml mo>\string
               &\#xFE38;</\a:mathml mo></\a:mathml munder>}
         {\Configure{mathop}{}{}{}{}}%
   }
   {\let\o:underbrace:=\displaystyle}
   {}
\Configure{MathClass}{0}{*}{<\a:mathml mi\Hnewline>}{</\a:mathml mi>}{}
\Configure{MathClass}{1}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-op">}{</\a:mathml mo>}{}
\Configure{MathClass}{2}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-bin">}{</\a:mathml mo>}{}
\Configure{MathClass}{3}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-rel">}{</\a:mathml mo>}{}
\:CheckOption{mathml-}     \if:Option
   \Configure{MathClass}{4}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-open">}
                           {</\a:mathml mo>}{}
   \Configure{MathClass}{5}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-close">}
                           {</\a:mathml mo>}{}
\else
   \Log:Note{for sources failing to produce
       clean mathml code, try the command line option `mathml-'}%
   \Configure{MathClass}{4}{*}{<\a:mathml mrow
                                     ><\a:mathml mo\Hnewline
             \mml:class="MathClass-open">}
                           {</\a:mathml mo><\a:mathml mrow>}{}
   \Configure{MathClass}{5}{*}{</\a:mathml mrow><\a:mathml mo\Hnewline
             \mml:class="MathClass-close">}
                           {</\a:mathml mo></\a:mathml mrow>}{}
\fi
\Configure{MathClass}{6}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-punc">}{</\a:mathml mo>}{}
\Configure{MathClass}{7}{*}{<\a:mathml mn>}{</\a:mathml mn>}
                           {0123456789}
\ifx \mathordMathClass\:UnDef
  \NewMathClass\mathordMathClass
\fi
\Configure{MathClass}{\mathordMathClass}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-ord">}{</\a:mathml mo>}{}
\Configure{FormulaClass}{0}{}{}{}
\Configure{FormulaClass}{1}{}{}{}
\Configure{FormulaClass}{2}{}{}{}
\Configure{FormulaClass}{3}{}{}{}
\Configure{FormulaClass}{4}{}{}{}
\Configure{FormulaClass}{5}{}{}{}
\Configure{FormulaClass}{6}{}{}{}
\Css{mo.MathClass-op + mi{margin-left:0.3em}}
\Css{mi + mo.MathClass-op{margin-left:0.3em}}

\def\bold:version{bold}
\Configure{mathbf}%
  {\bgroup \Tg<\a:mathml mstyle
             mathvariant="bold">}%
  {\Tg</\a:mathml mstyle>\egroup }%
\Configure{mathit}%
  {\bgroup \Tg<\a:mathml mstyle  mathvariant="\ifx
                 \bold:version\math@version bold-\fi italic">}%
  {\Tg</\a:mathml mstyle>\egroup }%
\Configure{mathrm}%
  {\bgroup \Tg<\a:mathml mstyle
             mathvariant="\ifx
                 \bold:version\math@version bold\else normal\fi">}%
  {\Tg</\a:mathml mstyle>\egroup }%
\Configure{mathsf}%
  {\bgroup \Tg<\a:mathml mstyle  mathvariant="\ifx
            \bold:version\math@version bold-\fi sans-serif">}%
  {\Tg</\a:mathml mstyle>\egroup }%
\Configure{mathtt}%
  {\bgroup \Tg<\a:mathml mstyle mathvariant="monospace">}%
  {\Tg</\a:mathml mstyle>\egroup }%
\Css{
   math mstyle[mathvariant="bold"]  mi {
      font-weight: bold;
      font-style: normal;
   }
}
\Css{
   math mstyle[mathvariant="normal"]  mi {
      font-weight: normal;
      font-style: normal;
   }
}
\def\:tempd#1#2{%
   \expandafter\def\csname #1\endcsname{\mathchar"13#2}%
   \MathSymbol\mathop{#1}%
   \expandafter\def\csname #1:limits\endcsname{\expandafter
                    \:same \math:sym\mathop{#1}\limits}%
   \expandafter\def\csname #1:nolimits\endcsname{\expandafter
                  \:same \math:sym\mathop{#1}\nolimits}%
   \expandafter\edef\csname n:#1:\endcsname{\noexpand\ifDisplayMath
          \noexpand\expandafter \expandafter\noexpand \csname #1:limits\endcsname
          \noexpand\else \noexpand\expandafter
                         \expandafter\noexpand
                         \csname #1:nolimits\endcsname\noexpand\fi}%
   \expandafter\pend:def\csname n:#1:\endcsname{\ifDisplayMath
          \mathop:prefix{mathsize="big"}\fi}%
}
\:tempd{bigcap}{54}
\:tempd{bigcup}{53}
\:tempd{bigodot}{4A}
\:tempd{bigoplus}{4C}
\:tempd{bigotimes}{4E}
\:tempd{bigsqcup}{46}
\:tempd{biguplus}{55}
\:tempd{bigvee}{57}
\:tempd{bigwedge}{56}
\:tempd{coprod}{60}
\:tempd{intop}{52}
\:tempd{ointop}{48}
\:tempd{prod}{51}
\:tempd{sum}{50}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



















%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{amsbsy}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{pmb}
   {\ifmmode \HCode{<!--binary math rel, tripple hight-->}\fi}
   {\ifmmode \HCode{<!--/binary math rel, tripple hight-->}\fi}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{amsmath}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{underarrow@}
   {\Tg<\a:mathml munder>\Tg<\a:mathml mrow\Hnewline>}
   {\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>}
   {\Tg</\a:mathml mrow>\Tg</\a:mathml munder>}
\Configure{overarrow@}
   {\Tg<\a:mathml mover accent="true">\Tg<\a:mathml mrow\Hnewline>}
   {\Tg</\a:mathml mrow>\Tg<\a:mathml mrow>}
   {\Tg</\a:mathml mrow>\Tg</\a:mathml mover>}
\def\:tempc#1#2#3{\a:overarrow@
      \hbox{$\m@th#2#3$}\b:overarrow@
      \hbox{#1#2}\c:overarrow@
   }
\HLet\overarrow@\:tempc

\Configure{equation}
  {\Configure{gather}
     {\HCode{<\a:mathml mtable\Hnewline
        \mml:class="equation"><\a:mathml mtr><\a:mathml mtd>}\IgnorePar }
     {\HCode{</\a:mathml mtd></\a:mathml mtr></\a:mathml mtable>}}
     {}
     {}
     {\ifnum\HCol=2 \IgnorePar
         \HCode{</\a:mathml mtd><\a:mathml mtd>}\fi }
     {}
  }{}{}
\Css{.equation-star td{text-align:center; vertical-align:middle; }}
\Css{table.equation-star { width:100\%; }   }
\Configure{above}
   {\Send{GROUP}{0}{<\a:mathml mfrac
                      linethickness="\the\tmp:dim"><\a:mathml mrow>}%
    \HCode{</\a:mathml mrow>}\o:@@over:\:gobbleII}
   {\HCode{<\a:mathml
      mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}}
\def\overwithdelims:III#1#2#3{%
   \def\:temp{#2#3}\def\:tempa{..}\ifx \:temp\:tempa
      \Send{GROUP}{0}{<\a:mathml mfrac linethickness="0"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}
   \else
      \Send{GROUP}{0}{<\a:mathml mfenced separators=""\Hnewline
          open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          linethickness="0"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:@@over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml
                                    mrow></\a:mathml mfrac></\a:mathml mfenced>}
   \fi
 }
\Configure{tmspace}
   {\ifdim \textspace>0.2em
       \HCode{<\a:mathml mspace
                         width="\textspace" \mml:class="tmspace"/>}%
    \else \HCode{<\a:mathml mspace
                            width="0.3em" \mml:class="thinspace"/>}\fi
   }
\Configure{mfenced}{\lvert}{\string&\#x007C;} 
\Configure{mfenced}{\rvert}{\string&\#x007C;} 
\Configure{mfenced}{\lVert}{\string&\#x2016;}
\Configure{mfenced}{\rVert}{\string&\#x2016;}
\Configure{split}
   {\HCode{<\a:mathml mtable \Hnewline
           \a:mathml  columnalign="right left"
           \mml:class="split">}}
   {\ifvmode\IgnorePar\fi \HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr \mml:class="split-mtr">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="split-mtd">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{multline}
   {\HCode{<\a:mathml mtable\Hnewline  \mml:class="multline">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>%
           <\a:mathml mtd\Hnewline \mml:class="multline">}}
   {\HCode{</\a:mathml mtd></\a:mathml mtr>}}
   {\HCode{</\a:mathml mtd><\a:mathml mtd>}}
   {}
\Configure{multline*}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="multline-star">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr><\a:mathml mtd\Hnewline
                                        \mml:class="multline-star">}}
   {\HCode{</\a:mathml mtd></\a:mathml mtr>}}
\Configure{gather}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="gather">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
   {\HCode{\Hnewline<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}
\Configure{gather*}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="gather-star">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
   {\HCode{\Hnewline<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}
\Configure{subarray}
   {\HCode{<\a:mathml mtable \mml:class="subarray\if c\Hlcr-c\fi"
      \a:mathml rowspacing="0"
      \if c\Hlcr \a:mathml columnalign="center"\fi>}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr><\a:mathml mtd>}}
   {\HCode{</\a:mathml mtd></\a:mathml mtr>}}
\Configure{smallmatrix}
   {\HCode{<\a:mathml mtable>}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline \mml:class="smallmatrix">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{\Hnewline<\a:mathml mtd>}}
   {\HCode{</\a:mathml mtd>}}
\def\:tempc#1#2{%
   \ConfigureEnv{#1}
     {\def\end:al:env{}\ifmmode\else
       \ifvmode\else \def\end:al:env{\par\ShowPar\IgnoreIndent}\fi\fi}
     {\end:al:env }
     {}{}%
   \Configure{#1}
   {\IgnorePar
    \ifvmode \EndP  \else \EndP  \HCode{<!--tex4ht:inline-->}\fi
    \ifmathml
       \Tg<\a:mathml mrow>\def\end:mathalign{\Tg</\a:mathml mrow>}%
    \else
       \Configure{@math}{%\a:mathml
 display="block"
}\DviMath
       \def\end:mathalign{\EndDviMath \DisplayMathfalse}%
       \DisplayMathtrue
    \fi
    \HCode{<\a:mathml mtable\Hnewline
                \a:mathml columnalign="left" \mml:class="#2">}}
   {\HCode{</\a:mathml mtable>}\end:mathalign }
   {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline
      \ifodd\HCol \a:mathml  columnalign="right" \fi
%
      \mml:class="align-\ifnum \HCol>\maxfields@ label\else
         \ifodd\HCol\space  odd\else     even\fi
       \fi">}}
   {\HCode{\ifodd\HCol\space\else
       <\a:mathml mspace width="2em"/>\fi
</\a:mathml mtd>}}}
\:tempc{align}{align}
\:tempc{alignat}{alignat}
\:tempc{xalignat}{xalignat}
\:tempc{xxalignat}{xxalignat}
\:tempc{flalign}{flalign}
\:tempc{align*}{align-star}
\:tempc{alignat*}{alignat-star}
\:tempc{xalignat*}{xalignat-star}
\:tempc{flalign*}{flalign-star}
\Configure{gathered}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="gathered">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
   {\HCode{\Hnewline<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}
\Configure{underrightarrow}
  {\Tg<\a:mathml munder>\Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\mathop{\rightarrow}\Tg</\a:mathml munder>}
\Configure{underleftarrow}
  {\Tg<\a:mathml munder>\Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\mathop{\leftarrow}\Tg</\a:mathml munder>}
\Configure{overleftrightarrow}
  {\Tg<\a:mathml mover class="overleftrightarrow">\Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\mathop{\HCode{&\#x20E1;}}\Tg</\a:mathml mover>}
\Configure{underleftrightarrow}
  {\Tg<\a:mathml munder>\Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\mathop{\leftrightarrow}\Tg</\a:mathml munder>}
\def\m:env#1{\HCode{<\a:mathml mtable
  \mml:class="#1"><\a:mathml mtr><\a:mathml mtd>}%
   \def\endm:env{\HCode
      {</\a:mathml mtd></\a:mathml mtr></\a:mathml mtable>}}}

\renewcommand{\xrightarrow}[2][]{%
   \Tg<\a:mathml munderover>%
     \rightarrow
     \Tg<\a:mathml mrow\Hnewline>#1\Tg</\a:mathml mrow>%
     \Tg<\a:mathml mrow\Hnewline>#2\Tg</\a:mathml mrow>%
   \Tg</\a:mathml munderover>}%
\renewcommand{\xleftarrow}[2][]{%
   \Tg<\a:mathml munderover>%
      \leftarrow
      \Tg<\a:mathml mrow\Hnewline>#1\Tg</\a:mathml mrow>%
      \Tg<\a:mathml mrow\Hnewline>#2\Tg</\a:mathml mrow>%
   \Tg</\a:mathml munderover>}%

\def\overset#1#2{{%
      \Tg<\a:mathml mover class="overset">\Tg<\a:mathml
                              mrow\Hnewline>#2\Tg</\a:mathml mrow>%
                \Tg<\a:mathml mrow\Hnewline>#1\Tg</\a:mathml mrow>%
      \Tg</\a:mathml mover>}}%
\def\underset#1#2{{%
      \Tg<\a:mathml munder>\Tg<\a:mathml mrow\Hnewline>#2\Tg</\a:mathml mrow>%
                 \Tg<\a:mathml mrow\Hnewline>#1\Tg</\a:mathml mrow>%
      \Tg</\a:mathml munder>}}%

\def\sideset#1#2#3{{\Tg<\a:mathml mrow \mml:class="sideset"\Hnewline
        >{\HCode{}}#1{\HCode{}#3}#2\Tg</\a:mathml mrow>}}
\ConfigureEnv{eqxample}{}{}{}{}
\ConfigureEnv{gather*}{}{}{}{}
\ConfigureEnv{gathered}{}{}{}{}
\ConfigureEnv{matrix}{}{}{}{}

\def\:tempc{\DOTSI\protect\:idotsint}
\HLet\idotsint\:tempc
\def\:idotsint{%
  \mathop{\intop\cdotp\cdotp\cdotp\intop }\ilimits@
}
\def\:tempc{\HCode{<\a:mathml mspace width="0.2em"/>}\mathbin
  {mod}\HCode{<\a:mathml mspace width="0.2em"/>}}
\HLet\bmod\:tempc
\def\:tempc#1{\allowbreak
  \HCode{<\a:mathml mspace width="0.3em"/>}(#1)}
\HLet\pod=\:tempc
\def\:tempc#1{\pod{\mathop{mod}\HCode{<\a:mathml mspace width="0.3em"/>}#1}}
\HLet\pmod=\:tempc
\def\:tempc#1{\allowbreak
   \HCode{<\a:mathml mspace width="0.3em"/>}\mathop
      {mod}\HCode{<\a:mathml mspace width="0.3em"/>}#1}
\HLet\mod=\:tempc

\Configure{intertext}
    {\IgnorePar \ifinalign@
        \HCode{\ifnum \HRow>0 </\a:mathml mtd></\a:mathml mtr>\fi
          <\a:mathml mtr><\a:mathml mtd
          columnspan="\ifnum \HRow=0 15\else \HCol\fi"
                                            \mml:class="intertext">}%
     \else \ifingather@
        \HCode{<\a:mathml mtr><\a:mathml mtd columnspan="\HCol"
                                            \mml:class="intertext">}%
     \fi\fi
     \AA:text{intertext}%
    }
    {\BB:text \ifvmode \IgnorePar \fi \EndP\ifinalign@
        \HCode{</\a:mathml mtd></\a:mathml mtr>%
           \ifnum \HRow>0 <\a:mathml mtr><\a:mathml mtd>\fi}%
     \else \ifingather@
         \HCode{</\a:mathml mtd></\a:mathml mtr>}%
     \fi\fi
    }
\Configure{maketag}
  {\ifmathml
     \ifmtext \expandafter\expandafter\expandafter\no:maketag\fi
   \else \expandafter\no:maketag\fi
   \AA:text{maketag}\hbox\bgroup\:gobbleIII :@:}
  {\egroup\BB:text }
\def\no:maketag#1:@:#2\b:maketag{\hbox{#2}}
\Configure{abovewithdelims}
   {\abovewithdelims:III}
   {}
\def\abovewithdelims:III#1#2#3{%
   \def\:temp{#2#3}\def\:tempa{..}\ifx \:temp\:tempa
      \Send{GROUP}{0}{<\a:mathml mfrac linethickness="\the\tmp:dim"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:@@over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}
   \else
      \Send{GROUP}{0}{<\a:mathml mfenced separators=""\Hnewline
          open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          linethickness="\the\tmp:dim"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:@@over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml
                                  mrow></\a:mathml mfrac></\a:mathml mfenced>}
   \fi
   \tmp:dim
 }
\Configure{atopwithdelims}
   {\atopwithdelims:III}
   {}
\def\atopwithdelims:III#1#2#3{%
   \def\:temp{#2#3}\def\:tempa{..}\ifx \:temp\:tempa
      \Send{GROUP}{0}{<\a:mathml mfrac linethickness="0"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:@@atop:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}
   \else
      \Send{GROUP}{0}{<\a:mathml mfenced separators=""\Hnewline
          open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          linethickness="0"><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:@@atop:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml
                               mrow></\a:mathml mfrac></\a:mathml mfenced>}
   \fi
 }
\Configure{overwithdelims}
   {\overwithdelims:III}
   {}
\def\overwithdelims:III#1#2#3{%
   \def\:temp{#2#3}\def\:tempa{..}\ifx \:temp\:tempa
      \Send{GROUP}{0}{<\a:mathml mfrac><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:@@over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml mrow></\a:mathml mfrac>}
   \else
      \Send{GROUP}{0}{<\a:mathml mfenced separators=""\Hnewline
          open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac><\a:mathml mrow>}%
      \HCode{</\a:mathml mrow>}\o:@@over:
      \HCode{<\a:mathml mrow>}\Send{EndGROUP}{0}{</\a:mathml
                                 mrow></\a:mathml mfrac></\a:mathml mfenced>}
   \fi
 }
\def\:tempc{\ifDisplayMath\mathop:prefix{mathsize="big"}\fi\o:n:iint::}
\HLet\n:iint:\:tempc
\def\:tempc{\ifDisplayMath\mathop:prefix{mathsize="big"}\fi\o:n:iiint::}
\HLet\n:iiint:\:tempc
\def\:tempc{\ifDisplayMath\mathop:prefix{mathsize="big"}\fi\o:n:idotsint::}
\HLet\n:idotsint:\:tempc
\ifx \ilimits@\o:nolimits:
  \let\ilimits@\nolimits
\fi
\ifx \ilimits@\o:nolimits:
  \let\slimits@\nolimits
\fi
\ifx \ilimits@\o:displaylimits:
   \let\ilimits@\nolimits
\fi
\Configure{aligned}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="aligned">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline>}}   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd
       \a:mathml columnalign="\ifodd\HCol right\else left\fi" >}}
   {\HCode{</\a:mathml mtd>}}
\Configure{alignedat}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="alignedat">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline>}}   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd
       \a:mathml columnalign="\ifodd\HCol right\else left\fi" >}}
   {\HCode{</\a:mathml mtd>}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{amsfonts}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{mathbb}{}{}
\Configure{mathfrak}{}{}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{amstext}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{text}{\AA:text{text}}{\BB:text}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{amstex1}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    % amstex.sty
\Configure{underarrow@}
   {\Tg<\a:mathml munder>\Tg<\a:mathml mrow\Hnewline>}
   {\Tg</\a:mathml mrow>\Tg<\a:mathml mrow\Hnewline>}
   {\Tg</\a:mathml mrow>\Tg</\a:mathml munder>}
\Configure{overarrow@}
   {\Tg<\a:mathml mover accent="true">\Tg<\a:mathml mrow\Hnewline>}
   {\Tg</\a:mathml mrow>\Tg<\a:mathml mrow>}
   {\Tg</\a:mathml mrow>\Tg</\a:mathml mover>}
\def\:tempc#1#2#3{\a:overarrow@
      \hbox{$\m@th#2#3$}\b:overarrow@
      \hbox{#1#2}\c:overarrow@
   }
\HLet\overarrow@\:tempc

\Configure{mfenced}{\lvert}{\string&\#x007C;}
\Configure{mfenced}{\rvert}{\string&\#x007C;}
\Configure{mfenced}{\lVert}{\string&\#x2016;}
\Configure{mfenced}{\rVert}{\string&\#x2016;}
\ConfigureEnv{aligned}{}{}{}{}
\Configure{aligned}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="aligned">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline>}}   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}


\def\:tempc{{\underrightarrow\lim}}  \HLet\varinjlim\:tempc
\def\:tempc{{\underleftarrow\lim}}   \HLet\varprojlim\:tempc
\def\:tempc{{\overline\lim}}         \HLet\varlimsup\:tempc
\def\:tempc{{\underline\lim}}        \HLet\varliminf\:tempc
\def\:tempc#1#2#3{\hbox{{\mtexttrue
   \HCode{<\a:mathml mrow\Hnewline
       \mml:class="text"><\a:mathml mtext
              \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \Configure{$}{\EndPauseMathClass\mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
              mrow\Hnewline \mml:class="math">}}
        {\HCode{</\a:mathml mrow><\a:mathml mtext
           \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\mtexttrue\PauseMathClass}{#1}
   \let\f@size#2\selectfont #3}%
   \mtextfalse \EndPauseMathClass \ht:special{t4ht@,}%
\HCode
      {</\a:mathml mtext></\a:mathml mrow>}}}
\HLet\textdef@\:tempc

  \ifx \o:overrightarrow:\:UnDef\else
   \HRestore\overrightarrow
   \HRestore\overleftarrow
   \HRestore\overleftrightarrow
\fi

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{amstex}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    % amstex.tex
\def\m:env#1{\HCode{<\a:mathml mtable
  \mml:class="#1"><\a:mathml mtr><\a:mathml mtd>}%
   \def\endm:env{\HCode
      {</\a:mathml mtd></\a:mathml mtr></\a:mathml mtable>}}}

\Configure{pmatrix}
   {\bgroup\m:env{pmatrix}}
   {\endm:env\egroup}
\Configure{multline}
   {\HCode{<\a:mathml mtable\mml:class="multline">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline\mml:class="multline"><\a:mathml mtd>}}
   {\HCode{</\a:mathml mtd></\a:mathml mtr>}}
\Configure{smallmatrix}
   {\HCode{<\a:mathml mtable\mml:class="smallmatrix">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline\mml:class="smallmatrix">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline\mml:class="smallmatrix">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{bmatrix}
   {\bgroup\m:env{bmatrix}}
   {\endm:env\egroup}
\Configure{vmatrix}{\bgroup\m:env{vmatrix}}{\endm:env\egroup}
\Configure{Vmatrix}{\bgroup\m:env{Vmatrix}}{\endm:env\egroup}
\Configure{aligned}
   {\HCode{<\a:mathml mtable\mml:class="aligned">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline\mml:class="aligned">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline\mml:class="aligned">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{xalignat}
   {\HCode{<\a:mathml mtable\mml:class="xalignat">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline \mml:class="xalignat">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline  \mml:class="xalignat">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{xxalignat}
   {\HCode{<\a:mathml mtable  \mml:class="xxalignat">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline  \mml:class="xxalignat">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline  \mml:class="xxalignat">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{alignedat}
   {\HCode{<\a:mathml mtable \mml:class="alignedat">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline  \mml:class="alignedat">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="alignedat">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{gathered}
   {\HCode{<\a:mathml mtable \mml:class="gathered">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline \mml:class="gathered">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="gathered">}}
   {\HCode{</\a:mathml mtd>}}
\NewConfigure{@mtext}{1}
\Configure{@mtext}{ }
\def\AA:text#1{\mtexttrue
\HCode{<\a:mathml mstyle\Hnewline \mml:class="#1"><\a:mathml
   mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \Configure{$}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}}%
  {\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
\Configure{()}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}$}%
  {$\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
%
}
\def\BB:text{\mtextfalse\EndPauseMathClass\ht:special{t4ht@,}%
\HCode
     {</\a:mathml mtext></\a:mathml mstyle>}%
}

\Configure{text}{\AA:text{text}}{\BB:text}
\Configure{format}
   {\HCode{<\a:mathml mtable \mml:class="format">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline \mml:class="format">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="format">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{multilimits}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="multilimits">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr><\a:mathml mtd\Hnewline>}}
   {\HCode{</\a:mathml mtd></\a:mathml mtr>}}
\Configure{smallmatrix}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="smallmatrix">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline>}}
   {\HCode{</\a:mathml mtd>}}
\Configure{matrix}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="matrix">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline>}}   {\HCode{</\a:mathml mtr>}}
   {\HCode{\HCode{<\a:mathml mtd\Hnewline \mml:class="matrix"
   \ifnum 1<\HMultispan columnspan="\HMultispan"\fi}%
   \halignTD    \HCode{>}%
}}   {\HCode{</\a:mathml mtd>}}
\Configure{pmatrix}{\Tg<\a:mathml mrow \mml:class="pmatrix">}
                   {\Tg</\a:mathml mrow>}
\Configure{align}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="align">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline>}}   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}
\Configure{aligned}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="aligned">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline>}}   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}
\Configure{cases}
   {\Tg<\a:mathml mrow \mml:class="cases">}
   {\Tg</\a:mathml mrow>}
\Configure{alignat}
   {\HCode{<\a:mathml mtable \mml:class="alignat">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline \mml:class="alignat">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="alignat">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{gather}
   {\HCode{<\a:mathml mtable \mml:class="gather">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline \mml:class="gather">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="gather">}}
   {\HCode{</\a:mathml mtd>}}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%




%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{plain}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \:CheckOption{core}\if:Option \expandafter\endinput \fi
 \Configure{eqalign}
   {\HCode{<\a:mathml mtable \mml:class="eqalign">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr \Hnewline \mml:class="eqalign">}}
   {\IgnorePar\HCode{</\a:mathml mtr>}}
   {\HCode{\ifnum \HCol=3 <\a:mathml mtd\Hnewline
       \mml:class="eqalign3"></\a:mathml mtd>\fi
       <\a:mathml mtd \Hnewline  \mml:class="eqalign\HCol">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{overline}
   {\bgroup \HCode{<\a:mathml mover  accent="false"\Hnewline
\mml:class="mml-overline"><\a:mathml mrow>}%
}
   {\HCode{</\a:mathml mrow><\a:mathml mo\Hnewline
 accent="true">&\#x00AF;</\a:mathml mo>%
</\a:mathml mover>}%
\egroup}
\Configure{underline}
   {\bgroup \ifmmode \HCode{<\a:mathml munder \a:mathml accentunder="false"\Hnewline
\mml:class="mml-underline"><\a:mathml mrow>}%
\else
     \expandafter\everymath
\expandafter{\expandafter\everymath
             \expandafter{\the\everymath}}%
\let\o::@underline:\o:@@underline:
\def\o:@@underline:{\let\o:@@underline:\o::@underline:}%
\fi}
   {\HCode{</\a:mathml mrow><\a:mathml mo\Hnewline
accent="true">&\#x0332;</\a:mathml mo></\a:mathml munder>}%
\egroup}


\Configure{eqalignno}
   {\HCode{<\a:mathml mtable \mml:class="eqalignno">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline \mml:class="eqalignno">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd \Hnewline \mml:class="eqalignno-\HCol">}}
   {\HCode{</\a:mathml mtd>}}
\def\:eqalignno:{\Configure{noalign}
  {\HCode{<\a:mathml mtr><\a:mathml mtd \mml:class="noalign" colspan="2">}}%
  {\HCode{</\a:mathml mtd></\a:mathml mtr>}}}
\Configure{leqalignno}
   {\HCode{<\a:mathml mtable \mml:class="leqalignno">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline \mml:class="leqalignno">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd \Hnewline \mml:class="leqalignno-\HCol">}}
   {\HCode{</\a:mathml mtd>}}
\def\:leqalignno:{\Configure{noalign}
  {\HCode{<\a:mathml mtr><\a:mathml mtd \mml:class="noalign" colspan="2">}}%
  {\HCode{</\a:mathml mtd></\a:mathml mtr>}}}

\expandafter\ifx \csname o@everypar\endcsname\relax \else
\expandafter\ifx \csname ht:everypar\endcsname\relax
  \let\ht:everypar\o@everypar
\fi\fi

\Configure{MathClass}{1}{}{}{}{
   \mathchar"1360
   \mathchar"1357
   \mathchar"1356
   \mathchar"1355
   \mathchar"1354
   \mathchar"1353
   \mathchar"1352
   \mathchar"1351
   \mathchar"1350
   \mathchar"134E
   \mathchar"134C
   \mathchar"134A
   \mathchar"1348
   \mathchar"1346
   \mathchar"1273
   \mathchar"3234 
\mathchar"3238 
\mathchar"3239 
\mathchar"323A 
\mathchar"323E 
\mathchar"323F 
\mathchar"3272 
\mathchar"3278 
\mathchar"327B 
\mathchar"327C 
\mathchar"327D 
\mathchar"327E 
\mathchar"327F 
%
}
\Configure{MathClass}{2}{}{}{}{
*-+/
\mathchar"212F
\mathchar"212E
\mathchar"2234
\mathchar"2235
\mathchar"225E
\mathchar"225F
\mathchar"225C
\mathchar"225B
\mathchar"227A
\mathchar"2279
\mathchar"2275
\mathchar"2274
\mathchar"225D
\mathchar"2271
\mathchar"2205
\mathchar"220F
\mathchar"226F
\mathchar"2204
\mathchar"220C
\mathchar"220B
\mathchar"220A
\mathchar"2209
\mathchar"2208
\mathchar"2207
\mathchar"2206
\mathchar"220E
\mathchar"220D
\mathchar"226E
\mathchar"2201
\mathchar"2203
\mathchar"2202
\mathchar"213F
\mathchar"6201 % cdot
}
\Configure{MathClass}{3}{}{}{}{
   \mathchar"3128
   \mathchar"3129
   \mathchar"312A
   \mathchar"312B
   \mathchar"315E
   \mathchar"315F
   \mathchar"3210
   \mathchar"3211
   \mathchar"3212
   \mathchar"3213
   \mathchar"3214
   \mathchar"3215
   \mathchar"3216
   \mathchar"3217
   \mathchar"3218
   \mathchar"3219
   \mathchar"321A
   \mathchar"321B
   \mathchar"321C
   \mathchar"321D
   \mathchar"321E
   \mathchar"321F
   \mathchar"3220
   \mathchar"3221
   \mathchar"3224
   \mathchar"3227
   \mathchar"3232
   \mathchar"3233
   \mathchar"3236
   \mathchar"3237
   \mathchar"323F
   :=><
   \mathchar"322F
   \mathchar"3276
   \mathchar"3277
   \mathchar"326B
   \mathchar"326A
   \mathchar"3261
   \mathchar"3260
   \mathchar"3225
   \mathchar"3226
   \mathchar"322D
   \mathchar"322E
   \mathchar"322C
   \mathchar"3228
   \mathchar"3229
}
\Configure{MathClass}{4}{}{}{}{}
\Configure{MathDelimiters}{(}{)}
\Configure{MathDelimiters}{[}{]}
\Configure{MathDelimiters}{\mathchar"4262}{\mathchar"5263}
\Configure{MathDelimiters}{\mathchar"4264}{\mathchar"5265}
\Configure{MathDelimiters}{\mathchar"4266}{\mathchar"5267}
\Configure{MathDelimiters}{\mathchar"4268}{\mathchar"5269}
\Configure{MathDelimiters}{\mathchar"4300}{\mathchar"5301}
\Configure{MathDelimiters}{\mathchar"4302}{\mathchar"5303}
\Configure{MathDelimiters}{\mathchar"4304}{\mathchar"5305}
\Configure{MathDelimiters}{\mathchar"4306}{\mathchar"5307}
\Configure{MathDelimiters}{\mathchar"4308}{\mathchar"5309}
\Configure{MathDelimiters}{\mathchar"430A}{\mathchar"530B}
\Configure{MathClass}{6}{}{}{}{
\mathchar"613A % ldot
\mathchar"603A % colon
!?; ,
}

\Configure{overrightarrow}
  {\leavevmode\hbox\bgroup$\Tg<\a:mathml mover class="overrightarrow">%
   \Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\mathop{\HCode{&\#x20D7;}}%
   \Tg</\a:mathml mover>$\egroup}
\Configure{overleftarrow}
  {\leavevmode\hbox\bgroup$\Tg<\a:mathml mover class="overleftarrow">%
   \Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\mathop{\HCode{&\#x20D6;}}%
   \Tg</\a:mathml mover>$\egroup}
\Configure{big}
   {}{}
   {\HCode{<\a:mathml mstyle mathsize="1.19em">}}
   {\HCode{</\a:mathml mstyle>}}
\Configure{Big}
   {}{}
   {\HCode{<\a:mathml mstyle mathsize="1.61em">}}
   {\HCode{</\a:mathml mstyle>}}
\Configure{bigg}
   {}{}
   {\HCode{<\a:mathml mstyle mathsize="2.03em">}}
   {\HCode{</\a:mathml mstyle>}}
\Configure{Bigg}
   {}{}
   {\HCode{<\a:mathml mstyle mathsize="2.45em">}}
   {\HCode{</\a:mathml mstyle>}}
\def\:tempc#1{{\hbox{\a:big$\c:big
   \left#1\hbox{}\right.\n@space\d:big$\b:big}}}
\HLet\big=\:tempc
\def\:tempc#1{{\hbox{\a:Big$\c:Big
   \left#1\hbox{}\right.\n@space\d:Big$\b:Big}}}
\HLet\Big=\:tempc
\def\:tempc#1{{\hbox{\a:bigg$\c:bigg
   \left#1\hbox{}\right.\n@space\d:bigg$\b:bigg}}}
\HLet\bigg=\:tempc
\def\:tempc#1{{\hbox{\a:Bigg$\c:Bigg
   \left#1\hbox{}\right.\n@space\d:Bigg$\b:Bigg}}}
\HLet\Bigg=\:tempc
\Configure{overbrace}
   {\Configure{mathop*}{*}
         {<\a:mathml mover \a:mathml accent="false"><\a:mathml mrow>}
         {</\a:mathml mrow><\a:mathml mo>\string
               &\#xFE37;</\a:mathml mo></\a:mathml mover>}
         {\Configure{mathop}{}{}{}{}}%
   }
   {\let\o:overbrace:=\displaystyle}
   {}
\Configure{underbrace}
   {\Configure{mathop*}{*}
         {<\a:mathml munder
                 \a:mathml accentunder="false"><\a:mathml mrow>}
         {</\a:mathml mrow><\a:mathml mo>\string
               &\#xFE38;</\a:mathml mo></\a:mathml munder>}
         {\Configure{mathop}{}{}{}{}}%
   }
   {\let\o:underbrace:=\displaystyle}
   {}
\Configure{MathClass}{0}{*}{<\a:mathml mi\Hnewline>}{</\a:mathml mi>}{}
\Configure{MathClass}{1}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-op">}{</\a:mathml mo>}{}
\Configure{MathClass}{2}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-bin">}{</\a:mathml mo>}{}
\Configure{MathClass}{3}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-rel">}{</\a:mathml mo>}{}
\:CheckOption{mathml-}     \if:Option
   \Configure{MathClass}{4}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-open">}
                           {</\a:mathml mo>}{}
   \Configure{MathClass}{5}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-close">}
                           {</\a:mathml mo>}{}
\else
   \Log:Note{for sources failing to produce
       clean mathml code, try the command line option `mathml-'}%
   \Configure{MathClass}{4}{*}{<\a:mathml mrow
                                     ><\a:mathml mo\Hnewline
             \mml:class="MathClass-open">}
                           {</\a:mathml mo><\a:mathml mrow>}{}
   \Configure{MathClass}{5}{*}{</\a:mathml mrow><\a:mathml mo\Hnewline
             \mml:class="MathClass-close">}
                           {</\a:mathml mo></\a:mathml mrow>}{}
\fi
\Configure{MathClass}{6}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-punc">}{</\a:mathml mo>}{}
\Configure{MathClass}{7}{*}{<\a:mathml mn>}{</\a:mathml mn>}
                           {0123456789}
\ifx \mathordMathClass\:UnDef
  \NewMathClass\mathordMathClass
\fi
\Configure{MathClass}{\mathordMathClass}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-ord">}{</\a:mathml mo>}{}
\Configure{FormulaClass}{0}{}{}{}
\Configure{FormulaClass}{1}{}{}{}
\Configure{FormulaClass}{2}{}{}{}
\Configure{FormulaClass}{3}{}{}{}
\Configure{FormulaClass}{4}{}{}{}
\Configure{FormulaClass}{5}{}{}{}
\Configure{FormulaClass}{6}{}{}{}
\Css{mo.MathClass-op + mi{margin-left:0.3em}}
\Css{mi + mo.MathClass-op{margin-left:0.3em}}



\let\A:displaylines\a:displaylines
\let\B:displaylines\b:displaylines
\let\C:displaylines\c:displaylines
\let\D:displaylines\d:displaylines
\Configure{displaylines}
   {\ifmmode
     \def\A:displaylines{\HCode{<\a:mathml mtable
                                   \mml:class="displaylines">}}%
     \def\B:displaylines{\HCode{</\a:mathml mtable>}}%
     \def\C:displaylines{\HCode{<\a:mathml mtr\Hnewline
                              \mml:class="displaylines"><\a:mathml mtd>}}%
     \def\D:displaylines{\HCode{</\a:mathml mtd></\a:mathml mtr>}}%
    \fi
    \A:displaylines}
   {\B:displaylines} {\C:displaylines}{\D:displaylines}
\let\mathml:on\relax
\Configure{ }
   {\ifmathml \ifmtext \space \else\Tg<\a:mathml mspace
    width="1em" \mml:class="nbsp" />\fi
    \else \:nbsp\fi}
\:CheckOption{new-accents}     \if:Option \else
  \Configure{accent}\widetilde\widetilde{{}{}}
  {}
  {\HCode{<\a:mathml mover\Hnewline accent="false"><\a:mathml mrow\Hnewline>}#2\HCode{</\a:mathml mrow>}%
    \:widetilde:over  \HCode{</\a:mathml mover>}}
  \Configure{accent}\widehat\widehat{{}{}}
  {}
  {\HCode{<\a:mathml mover\Hnewline accent="false"><\a:mathml mrow\Hnewline>}#2\HCode{</\a:mathml mrow>}%
    \:widehat:over  \HCode{</\a:mathml mover>}}
\fi
\:CheckOption{new-accents}     \if:Option \else
   \ifx \mathml:on\:UnDef
      \Configure{accents}
        {\ifmmode \expandafter\mathord\fi
         {\leavevmode
\if !#1!\ht:special{t4ht@+\string&{35}x#2;}%
\else \expandafter \ifx\csname U#2#1\endcsname\relax
    \ht:special{t4ht@+\string&{35}x#2;}%
\else
    \ht:special{t4ht@+\string&{35}x\csname U#2#1\endcsname;}%
\fi \fi x%
%
          \ht:special{t4ht@[}\if!#1!x\else#2\fi\ht:special{t4ht@]}}}
        {\Tg<\a:mathml mrow
                \mml:class="accent#1">\mathord{#3}\Tg</\a:mathml mrow>%
        }%
   \fi
\fi
\let\mml:TeX\TeX
\def\TeX{\ifmathml
   \HCode{<\a:mathml mtext
      \mml:class="TeX">TeX</\a:mathml mtext>}\else \mml:TeX\fi}
\Configure{afterSUB}{'}{\def\SUB:prime{\SUB:SUP}}
\Configure{'}
   {\let\:primes=\empty}
   {\relax \csname SUB:prime\endcsname\sp{%
      \global\let\SUB:prime=\:UnDef
      \def\:tempa{\prime\prime}\ifx \:tempa\:primes
              \mathop{\HCode{\string&\#x2033;}}\else
      \def\:tempa{\prime\prime\prime}\ifx \:tempa\:primes
              \mathop{\HCode{\string&\#x2034;}}\else
              \:primes \fi\fi}%
   }
   {\let\prime=\relax \xdef\:primes{\:primes\prime}}
\def\:temp#1{\a:left{#1}\o:left:.\b:left{#1}}   \HLet\left\:temp
\def\:temp#1{\a:right{#1}\o:right:.\b:right{#1}}\HLet\right\:temp
\Configure{left}
   {}
   {\HCode{<\a:mathml mfenced separators=""\Hnewline
       open="\expandafter
\ifx \csname \string#1:lr del\endcsname\relax #1\else
     \csname \string#1:lr del\endcsname\fi
"\space }\bgroup
                              \HCode{><\a:mathml mrow>}\bgroup}
\Configure{right}
   {\egroup\Send{GROUP}{0}{ close="\expandafter
\ifx \csname \string#1:lr del\endcsname\relax #1\else
     \csname \string#1:lr del\endcsname\fi
"\space}\egroup}
   {\HCode{</\a:mathml mrow></\a:mathml mfenced>}}
\def\def:DEL#1{\def\:DEL{#1}}
\def\check:DEL#1#2{\def\:tempa{#1}\ifx \:tempa\:DEL \def\:DEL{#2}\fi}
\NewConfigure{mfenced}[2]{\append:defI\def:DEL{\check:DEL{#1}{#2}}}
\NewConfigure{Biggl}{2}
\NewConfigure{Biggm}{2}
\NewConfigure{Biggr}{2}
\NewConfigure{Bigl}{2}
\NewConfigure{Bigm}{2}
\NewConfigure{Bigr}{2}
\NewConfigure{biggl}{2}
\NewConfigure{biggm}{2}
\NewConfigure{biggr}{2}
\NewConfigure{bigl}{2}
\NewConfigure{bigm}{2}
\NewConfigure{bigr}{2}
\Configure{Biggm}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathrel}{*}
          {<mo \mml:class="MathClass-rel"
                     fence="true" mathsize="2.45em" >}
          {</mo>}
          {\Configure{mathrel}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigm}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathrel}{*}
          {<mo \mml:class="MathClass-rel"
                     fence="true" mathsize="1.61em" >}
          {</mo>}
          {\Configure{mathrel}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggm}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathrel}{*}
          {<mo \mml:class="MathClass-rel"
                     fence="true" mathsize="2.03em" >}
          {</mo>}
          {\Configure{mathrel}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigm}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathrel}{*}
          {<mo \mml:class="MathClass-rel"
                     fence="true" mathsize="1.19em" >}
          {</mo>}
          {\Configure{mathrel}{}{}{}{}}%
   }
   {\egroup}

\:CheckOption{mathml-}     \if:Option
   \Configure{Biggl}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mo \mml:class="MathClass-open"
                     fence="true" mathsize="2.45em" >}
          {</mo>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{Biggr}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathclose}{*}
          {<mo \mml:class="MathClass-close"
                     fence="true" mathsize="2.45em" >}
          {</mo>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigl}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mo \mml:class="MathClass-open"
                     fence="true" mathsize="1.61em" >}
          {</mo>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigr}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathclose}{*}
          {<mo \mml:class="MathClass-close"
                     fence="true" mathsize="1.61em" >}
          {</mo>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggl}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mo \mml:class="MathClass-open"
                     fence="true" mathsize="2.03em" >}
          {</mo>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggr}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathclose}{*}
          {<mo \mml:class="MathClass-close"
                     fence="true" mathsize="2.03em" >}
          {</mo>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigl}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mo \mml:class="MathClass-open"
                     fence="true" mathsize="1.19em" >}
          {</mo>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigr}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathclose}{*}
          {<mo \mml:class="MathClass-close"
                     fence="true" mathsize="1.19em" >}
          {</mo>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}

\else
   \Configure{Biggl}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><mo \mml:class="MathClass-open"
                     fence="true" mathsize="2.45em" >}
          {</mo><mrow>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{Biggr}
   {\bgroup
       \Configure{Bigg}{}{}{}{}%
       \Configure{mathclose}{*}
          {</mrow><mo \mml:class="MathClass-close"
                     fence="true" mathsize="2.45em" >}
          {</mo></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigl}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><mo \mml:class="MathClass-open"
                     fence="true" mathsize="1.61em" >}
          {</mo><mrow>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigr}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathclose}{*}
          {</mrow><mo \mml:class="MathClass-close"
                     fence="true" mathsize="1.61em" >}
          {</mo></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggl}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><mo \mml:class="MathClass-open"
                     fence="true" mathsize="2.03em" >}
          {</mo><mrow>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggr}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathclose}{*}
          {</mrow><mo \mml:class="MathClass-close"
                     fence="true" mathsize="2.03em" >}
          {</mo></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigl}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><mo \mml:class="MathClass-open"
                     fence="true" mathsize="1.19em" >}
          {</mo><mrow>}
          {\Configure{mathopen}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigr}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathclose}{*}
          {</mrow><mo \mml:class="MathClass-close"
                     fence="true" mathsize="1.19em" >}
          {</mo></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}

\fi
\def\:tempc#1{\ht:special{t4ht@[}(\ht:special{t4ht@]}%
   \a:bigl\mathopen{\left:right\big{#1\:EMPTY}}\b:bigl\:EMPTY}
\HLet\bigl=\:tempc
\def\:tempc#1{\a:bigm\mathrel{\left:right\big{#1\:EMPTY}}\b:bigm}
\HLet\bigm=\:tempc
\def\:tempc#1{\:EMPTY
   \a:bigr\mathclose{\left:right\big{#1\:EMPTY}}\b:bigr%
   \ht:special{t4ht@[})\ht:special{t4ht@]}}
\HLet\bigr=\:tempc
\def\:tempc#1{\ht:special{t4ht@[}(\ht:special{t4ht@]}%
  \a:Bigl\mathopen{\left:right\Big{#1}\:EMPTY}\b:Bigl\:EMPTY}
\HLet\Bigl=\:tempc
\def\:tempc#1{\a:Bigm\mathrel{\left:right\Big{#1\:EMPTY}}\b:Bigm}
\HLet\Bigm=\:tempc
\def\:tempc#1{\:EMPTY
   \a:Bigr\mathclose{\left:right\Big{#1\:EMPTY}}\b:Bigr%
   \ht:special{t4ht@[})\ht:special{t4ht@]}}
\HLet\Bigr=\:tempc
\def\:tempc#1{\ht:special{t4ht@[}(\ht:special{t4ht@]}%
  \a:biggl\mathopen{\left:right\bigg{#1\:EMPTY}}\b:biggl\:EMPTY}
\HLet\biggl=\:tempc
\def\:tempc#1{\a:biggm\mathrel{\left:right\bigg{#1\:EMPTY}}\b:biggm}
\HLet\biggm=\:tempc
\def\:tempc#1{\:EMPTY
   \a:biggr\mathclose{\left:right\bigg{#1\:EMPTY}}\b:biggr%
   \ht:special{t4ht@[})\ht:special{t4ht@]}}
\HLet\biggr=\:tempc
\def\:tempc#1{\ht:special{t4ht@[}(\ht:special{t4ht@]}%
  \a:Biggl\mathopen{\left:right\Bigg{#1\:EMPTY}}\b:Biggl\:EMPTY}
\HLet\Biggl=\:tempc
\def\:tempc#1{\a:Biggm\mathrel{\left:right\Bigg{#1\:EMPTY}}\b:Biggm}
\HLet\Biggm=\:tempc
\def\:tempc#1{\:EMPTY
   \a:Biggr\mathclose{\left:right\Bigg{#1}\:EMPTY}\b:Biggr
   \ht:special{t4ht@[})\ht:special{t4ht@]}}
\HLet\Biggr=\:tempc
\def\:EMPTY{{\HCode{}}}
\def\left:right{%
   \let\left\o:left:
   \let\right\o:right:
   \Configure{left}{}{}\Configure{right}{}{}}

\:CheckOption{new-accents}     \if:Option \else
   \Configure{accents}
  {\ifmmode \expandafter\mathord\fi
     {\leavevmode
\if !#1!\ht:special{t4ht@+\string&{35}x#2;}%
\else \expandafter \ifx\csname U#2#1\endcsname\relax
    \ht:special{t4ht@+\string&{35}x#2;}%
\else
    \ht:special{t4ht@+\string&{35}x\csname U#2#1\endcsname;}%
\fi \fi x%
%
   \ht:special{t4ht@[}\if!#1!x\else#2\fi
   \ht:special{t4ht@]}}}
  {\ifmathml
      \ifmtext \expandafter\ifx \csname :#1:over\endcsname\relax
   \expandafter\ifx \csname :#1:under\endcsname\relax
      \AccentMath{\expandafter\ifx \csname :#1:over\endcsname\relax
  \HCode{<\a:mathml munder\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
      \csname :#1:under\endcsname
   \HCode{</\a:mathml munder>}%
%
\else \expandafter\ifx \csname :#1:under\endcsname\relax
  \HCode{<\a:mathml mover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:over\endcsname
   \HCode{</\a:mathml mover>}%
%
\else
  \HCode{<\a:mathml munderover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:under\endcsname
   \csname :#1:over\endcsname
   \HCode{</\a:mathml munderover>}%
%
\fi \fi
}%
   \else #3\csname :#1:under\endcsname \fi
\else #3\csname :#1:over\endcsname \fi
%
      \else    \AccentMath{\expandafter\ifx \csname :#1:over\endcsname\relax
  \HCode{<\a:mathml munder\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
      \csname :#1:under\endcsname
   \HCode{</\a:mathml munder>}%
%
\else \expandafter\ifx \csname :#1:under\endcsname\relax
  \HCode{<\a:mathml mover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:over\endcsname
   \HCode{</\a:mathml mover>}%
%
\else
  \HCode{<\a:mathml munderover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:under\endcsname
   \csname :#1:over\endcsname
   \HCode{</\a:mathml munderover>}%
%
\fi \fi
}\fi
   \else       \expandafter\ifx \csname :#1:over\endcsname\relax
   \expandafter\ifx \csname :#1:under\endcsname\relax
      \AccentMath{\expandafter\ifx \csname :#1:over\endcsname\relax
  \HCode{<\a:mathml munder\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
      \csname :#1:under\endcsname
   \HCode{</\a:mathml munder>}%
%
\else \expandafter\ifx \csname :#1:under\endcsname\relax
  \HCode{<\a:mathml mover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:over\endcsname
   \HCode{</\a:mathml mover>}%
%
\else
  \HCode{<\a:mathml munderover\Hnewline
   accent="true"><\a:mathml mrow\Hnewline>}#3\HCode{</\a:mathml mrow>}%
   \csname :#1:under\endcsname
   \csname :#1:over\endcsname
   \HCode{</\a:mathml munderover>}%
%
\fi \fi
}%
   \else #3\csname :#1:under\endcsname \fi
\else #3\csname :#1:over\endcsname \fi
\fi
  }

\fi
\def\mathinner#1{\Tg<\a:mathml mrow
   \mml:class="mathinner">#1\Tg</\a:mathml mrow>}
\Configure{root}{\rev:root}{}{}
\def\rev:root #1\b:root#2\c:root{
   \Tg<\a:mathml mroot>{\Tg<\a:mathml mrow\Hnewline>#2\Tg</\a:mathml mrow>}%
             {\Tg<\a:mathml mrow\Hnewline>#1\Tg</\a:mathml mrow>}\Tg</\a:mathml mroot>}
\def\AccentMath#1{\relax\ifmmode #1\else $#1$\fi}
\NewConfigure{mfenced}[2]{\expandafter
   \def\csname \string#1:lr del\endcsname{#2}}
\Configure{mfenced}{\|}{\string&\#x2225;}
\Configure{mfenced}{.}{}
\Configure{mfenced}{\langle}{\string&\#x27E8;} 
\Configure{mfenced}{\rangle}{\string&\#x27E9;} 
\Configure{mfenced}{\vert}{|}
\edef\:temp{\noexpand\Configure{mfenced}{\noexpand\{}{\string{}}\:temp
\edef\:temp{\noexpand\Configure{mfenced}{\noexpand\}}{\string}}}\:temp
\edef\:temp{\noexpand
   \Configure{mfenced}{\noexpand\lbrace}{\string{}}\:temp
\edef\:temp{\noexpand
   \Configure{mfenced}{\noexpand\rbrace}{\string}}}\:temp
\Configure{mfenced}{<}{\string&\#x003C;} 
\Configure{mfenced}{>}{\string&\#x003E;} 
\Configure{mfenced}{\lceil}{\string&\#x2308;}
\Configure{mfenced}{\rceil}{\string&\#x2309;}
\Configure{mfenced}{\lfloor}{\string&\#x230A;}
\Configure{mfenced}{\rfloor}{\string&\#x230B;}
\Configure{mfenced}{\Vert}{\string&\#x2225;}
\Configure{mfenced}{\rgroup}{)}
\Configure{mfenced}{\lgroup}{(}
\Configure{mfenced}{\bracevert}{|}
\Configure{mfenced}{\bracevert}{|}
\Configure{mfenced}{\downarrow}{\string&\#x2193;}
\Configure{mfenced}{\uparrow}{\string&\#x2191;}
\Configure{mfenced}{\Uparrow}{\string&\#x21D1;}
\Configure{mfenced}{\updownarrow}{\string&\#x2195;}
\Configure{mfenced}{\Updownarrow}{\string&\#x21D5;}
\Configure{mfenced}{\Downarrow}{\string&\#x21D3;}
\Configure{mfenced}{\backslash}{\string&\#x2216;}
\Configure{mfenced}{\rmoustache}{\string&\#x25DD;}
\Configure{mfenced}{\lmoustache}{\string&\#x25DC;}
\Configure{mfenced}{\Arrowvert}{\string&\#x2225;}
\Configure{mfenced}{\arrowvert}{\string&\#x007C;}

\let\A:oalign\a:oalign
\let\B:oalign\b:oalign
\Configure{oalign}
   {\ifmmode \Configure{$}{\Tg<\a:mathml mrow\Hnewline>}%
                          {\Tg</\a:mathml mrow>}{}%
             \let\halign\TeXhalign
             \Tg<\a:mathml mrow\Hnewline \mml:class="oalign">\else\A:oalign
    \fi}
   {\ifmmode \Tg</\a:mathml mrow>\else\B:oalign\fi}
\def\mathop:prefix#1{%
   \Configure{mathop}{*}{<\a:mathml mo #1\Hnewline>}{</\a:mathml mo>}%
    {\Configure{mathop}{*}{<\a:mathml mo>}{</\a:mathml mo>}{}}}
\def\:nbsp{\ifmtext \leavevmode\special{t4ht@+\string&{35}x00A0{59}}x%
\else\ifmathml
    \Tg<\a:mathml mspace />\else \leavevmode\special{t4ht@+\string&{35}x00A0{59}}x%
\fi\fi}
\Configure{cases}
    {}{} {\Tg<\a:mathml mtable>}{\Tg</\a:mathml mtable>}
    {\Tg<\a:mathml mtr>}{\Tg</\a:mathml mtr>}
    {\Tg<\a:mathml mtd \mml:class="cases">}{\Tg</\a:mathml mtd>}
\Configure{matrix}
   {\Tg<\a:mathml mtable
        \a:mathml equalrows="false" \a:mathml equalcolumns="false"\Hnewline
          \mml:class="matrix">}
   {\Tg</\a:mathml mtable>}
   {\Tg<\a:mathml mtr>}{\Tg</\a:mathml mtr>}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="matrix"
   \ifnum 1<\HMultispan columnspan="\HMultispan"\fi}%
   \halignTD    \HCode{>}%
}{\Tg</\a:mathml mtd>}
\Configure{pmatrix}  {\bgroup\Tg<\a:mathml mrow\Hnewline
   \mml:class="pmatrix">}  {\Tg</\a:mathml mrow>\egroup}
\Configure{quad}{{\ifmathml \ifmtext \o:quad:\else
   {\HCode{<\a:mathml mspace width="1em" \mml:class="quad"/>}}\fi
    \else \o:quad: \fi}}
\Configure{qquad}{{\ifmathml \ifmtext \o:qquad:\else
   {\HCode{<\a:mathml mspace width="2em" \mml:class="qquad"/>}}\fi
    \else \o:qquad: \fi}}
\Configure{,}
   {{\HCode{<\a:mathml mspace width="0em" \mml:class="thinspace"/>}}}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{amsopn}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \def\:tempc{{\underrightarrow\lim}}  \HLet\varinjlim\:tempc
\def\:tempc{{\underleftarrow\lim}}   \HLet\varprojlim\:tempc
\def\:tempc{{\overline\lim}}         \HLet\varlimsup\:tempc
\def\:tempc{{\underline\lim}}        \HLet\varliminf\:tempc
\def\:tempc#1#2#3{\hbox{{\mtexttrue
   \HCode{<\a:mathml mrow\Hnewline
       \mml:class="text"><\a:mathml mtext
              \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \Configure{$}{\EndPauseMathClass\mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
              mrow\Hnewline \mml:class="math">}}
        {\HCode{</\a:mathml mrow><\a:mathml mtext
           \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\mtexttrue\PauseMathClass}{#1}
   \let\f@size#2\selectfont #3}%
   \mtextfalse \EndPauseMathClass \ht:special{t4ht@,}%
\HCode
      {</\a:mathml mtext></\a:mathml mrow>}}}
\HLet\textdef@\:tempc

\def\:tempc{\qopname\relax m{lim inf}}
\HLet\liminf=\:tempc
\def\:tempc{\qopname\relax m{lim sup}}
\HLet\limsup=\:tempc
\def\:tempc{\qopname\relax m{proj lim}}
\HLet\projlim=\:tempc
\def\:tempc{\qopname\relax m{inj lim}}
\HLet\injlim=\:tempc
\Configure{qopname}
   {\Configure{mathop}{*}
      {<\a:mathml mo \mml:class="qopname">}
      {</\a:mathml mo>}
      {}}
\Css{mo.qopname + mi{margin-left:0.3em}}
\Css{mi + mo.qopname{margin-left:0.3em}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%





















%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{array}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{halignTB<>}{array}{\HCode{\Hnewline
   \a:mathml equalrows="false"
   \a:mathml columnlines="\columnlines"
   \a:mathml equalcolumns="false" \a:mathml class="array"}<>\HAlign}
\Configure{array}
   {\halignTB{array}}
   {\ifvmode \IgnorePar\fi \expandafter\tmp:toks\expandafter{\Clr}%
\HCode{<!--\the\tmp:toks-->}%
\Tg</\a:mathml mtable>}
   {\Tg<\a:mathml mtr>}{\Tg</\a:mathml mtr>}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="array"
   \ifnum 1<\HMultispan columnspan="\HMultispan"\fi}%
   \halignTD    \HCode{>}%
}
   {\Tg</\a:mathml mtd>}
\ConfigureEnv{array}
   {\bgroup\Configure{$}{}{}{}}
   {\egroup}
   {}{}
\Configure{VBorder}
   {\HAssign\NewGroup = 0
    \HAssign\borderlines = 0
\global\let\columnlines=\relax
}
   {\ifx \columnlines\relax \gHAssign\borderlines = 1
                      \else \gHAdvance\borderlines by 2 \fi
%
    \HAssign\NewGroup = 0}
   {\Advance:\NewGroup by 1
    \ifnum \borderlines>1 \gHAdvance\borderlines by -2 \fi
\ifx \columnlines\relax
    \global\let\columnlines\empty
\else
    \ifnum \NewGroup=1
       \xdef\columnlines{\columnlines\ifx\columnlines\empty
                                     \else \space\fi solid}%
    \else
       \xdef\columnlines{\columnlines\ifx\columnlines\empty
                                     \else \space\fi none}%
    \fi
\fi
}
   {}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%






















%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{amscd}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \ConfigureEnv{CD}{}{}{}{}
\Configure{CD}
   {\HCode{<\a:mathml mtable class="CD"\Hnewline>}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd\Hnewline>}}
   {\HCode{</\a:mathml mtd>}}
\Configure{ @>}
  {\Configure{mathrel*}{*}
          {<mrow \mml:class="rightarrow" >}
          {</mrow>}
          {}}
\Configure{ @<}
  {\Configure{mathrel*}{*}
          {<mrow \mml:class="leftarrow" >}
          {</mrow>}
          {}}
\Configure{ @V}
   {\HCode{<mphantom>}
    \hbox{$\m@th\vcenter{\hbox{$\scriptstyle#2$}}$}%%
    \HCode{</mphantom>}}
   {\HCode{<mphantom>}
    \hbox{$\m@th\vcenter{\hbox{$\m@th\vcenter{\hbox
                           {$\scriptstyle#1$}}$}}$}%
    \HCode{</mphantom>}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


















%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{vanilla}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
          \Configure{align}
   {\EndP\HCode{<\a:mathml mtable\Hnewline \mml:class="align">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}   {\HCode{</\a:mathml mtr>}}
   {\HCode{<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}

  
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



















%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{amssymb}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \def\:tempa#1"#2#3///{%
   \edef\:next{\noexpand\Configure{MathClass}{\ifnum 0=#2
                                     \mathordMathClass \else #2\fi}}%
   \:next
}
% \def\:tempb#1{\:tempa#1///{}{}{}{#1}}
% \def\:tempc#1"#2//{\:tempb{\mathchar"#2}}
% \def\:temp#1{\expandafter\:tempc\meaning#1//}
\def\:temp#1{\expandafter\:tempc\meaning#1//}
\def\:tempb#1{\:tempa#1///{}{}{}{#1}}
\def\:tempc#1"#2//{\:tempd#2...//}
\def\:tempd#1#2#3#4#5//{%
   \if #4.\:tempb{\mathchar"0#1#2#3}\else
          \:tempb{\mathchar"#1#2#3#4}\fi
}
\:temp \boxdot
\:temp \boxplus
\:temp \boxtimes
\:temp \centerdot
\:temp \boxminus
\:temp \veebar
\:temp \barwedge
\:temp \doublebarwedge
\:temp \Cup
\:temp \Cap
\:temp \curlywedge
\:temp \curlyvee
\:temp \leftthreetimes
\:temp \rightthreetimes
\:temp \dotplus
\:temp \intercal
\:temp \circledcirc
\:temp \circledast
\:temp \circleddash
\:temp \divideontimes
\:temp \lessdot
\:temp \gtrdot
\:temp \ltimes
\:temp \rtimes
\:temp \smallsetminus
\:temp \circlearrowright
\:temp \circlearrowleft
\:temp \leftrightharpoons
\:temp \Vdash
\:temp \Vvdash
\:temp \vDash
\:temp \twoheadrightarrow
\:temp \twoheadleftarrow
\:temp \leftleftarrows
\:temp \rightrightarrows
\:temp \upuparrows
\:temp \downdownarrows
\:temp \upharpoonright
\:temp \downharpoonright
\:temp \upharpoonleft
\:temp \downharpoonleft
\:temp \rightarrowtail
\:temp \leftarrowtail
\:temp \leftrightarrows
\:temp \rightleftarrows
\:temp \Lsh
\:temp \Rsh
\:temp \rightsquigarrow
\:temp \leftrightsquigarrow
\:temp \looparrowleft
\:temp \looparrowright
\:temp \circeq
\:temp \succsim
\:temp \gtrsim
\:temp \gtrapprox
\:temp \multimap
\:temp \therefore
\:temp \because
\:temp \doteqdot
\:temp \triangleq
\:temp \precsim
\:temp \lesssim
\:temp \lessapprox
\:temp \eqslantless
\:temp \eqslantgtr
\:temp \curlyeqprec
\:temp \curlyeqsucc
\:temp \preccurlyeq
\:temp \leqq
\:temp \leqslant
\:temp \lessgtr
\:temp \risingdotseq
\:temp \fallingdotseq
\:temp \succcurlyeq
\:temp \geqq
\:temp \geqslant
\:temp \gtrless
\:temp \vartriangleright
\:temp \vartriangleleft
\:temp \trianglerighteq
\:temp \trianglelefteq
\:temp \between
\:temp \blacktriangleright
\:temp \blacktriangleleft
\:temp \vartriangle
\:temp \eqcirc
\:temp \lesseqgtr
\:temp \gtreqless
\:temp \lesseqqgtr
\:temp \gtreqqless
\:temp \Rrightarrow
\:temp \Lleftarrow
\:temp \varpropto
\:temp \smallsmile
\:temp \smallfrown
\:temp \Subset
\:temp \Supset
\:temp \subseteqq
\:temp \supseteqq
\:temp \bumpeq
\:temp \Bumpeq
\:temp \lll
\:temp \ggg
\:temp \pitchfork
\:temp \backsim
\:temp \backsimeq
\:temp \lvertneqq
\:temp \gvertneqq
\:temp \nleq
\:temp \ngeq
\:temp \nless
\:temp \ngtr
\:temp \nprec
\:temp \nsucc
\:temp \lneqq
\:temp \gneqq
\:temp \nleqslant
\:temp \ngeqslant
\@ifpackageloaded{program}{}{\:temp \lneq}
\:temp \gneq
\:temp \npreceq
\:temp \nsucceq
\:temp \precnsim
\:temp \succnsim
\:temp \lnsim
\:temp \gnsim
\:temp \nleqq
\:temp \ngeqq
\:temp \precneqq
\:temp \succneqq
\:temp \precnapprox
\:temp \succnapprox
\:temp \lnapprox
\:temp \gnapprox
\:temp \nsim
\:temp \ncong
\:temp \varsubsetneq
\:temp \varsupsetneq
\:temp \nsubseteqq
\:temp \nsupseteqq
\:temp \subsetneqq
\:temp \supsetneqq
\:temp \varsubsetneqq
\:temp \varsupsetneqq
\:temp \subsetneq
\:temp \supsetneq
\:temp \nsubseteq
\:temp \nsupseteq
\:temp \nparallel
\:temp \nmid
\:temp \nshortmid
\:temp \nshortparallel
\:temp \nvdash
\:temp \nVdash
\:temp \nvDash
\:temp \nVDash
\:temp \ntrianglerighteq
\:temp \ntrianglelefteq
\:temp \ntriangleleft
\:temp \ntriangleright
\:temp \nleftarrow
\:temp \nrightarrow
\:temp \nLeftarrow
\:temp \nRightarrow
\:temp \nLeftrightarrow
\:temp \nleftrightarrow
\:temp \eqsim
\:temp \shortmid
\:temp \shortparallel
\:temp \thicksim
\:temp \thickapprox
\:temp \approxeq
\:temp \succapprox
\:temp \precapprox
\:temp \curvearrowleft
\:temp \curvearrowright
\:temp \backepsilon
\:temp \square
\:temp \blacksquare
\:temp \lozenge
\:temp \blacklozenge
\:temp \backprime
\:temp \bigstar
\:temp \blacktriangledown
\:temp \blacktriangle
\:temp \triangledown
\:temp \measuredangle
\:temp \sphericalangle
\:temp \circledS
\:temp \complement
\:temp \diagup
\:temp \diagdown
\:temp \varnothing
\:temp \nexists
\:temp \Finv
\:temp \Game
\:temp \eth
\:temp \beth
\:temp \gimel
\:temp \daleth
\:temp \digamma
\:temp \varkappa
\:temp \Bbbk
\:temp \hslash

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{gauss}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{gmatrix}
   {\HCode{<\a:mathml mtable \mml:class="gmatrix-\g@environment">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr\Hnewline \mml:class="gmatrix">}}
   {\HCode{</\a:mathml mtr>}}
   {\HCode{\Hnewline<\a:mathml mtd>}}
   {\HCode{</\a:mathml mtd>}}
\Css{mtr.gmatrix mtd {margin-left:0em; margin-right:0em;
                padding-left:0em; padding-right:0em;
                text-indent:0pt;
}}
\Css{mfenced mtable {margin-left:0em; margin-right:0em;
                padding-left:0em; padding-right:0em;
                text-indent:0pt;
}}
\Configure{rowops}
   {\HCode{<mtable class="rowops">
           <mtr><mtd columnspan="3"><mtext>Row ops:</mtext></mtd></mtr>
   }}
   {\HCode{</mtable>}}
\Configure{colops}
   {\HCode{<mtable class="colops">
           <mtr><mtd columnspan="3"><mtext>Col ops:</mtext></mtd></mtr>
   }}
   {\HCode{</mtable>}}
\Css{mtable.rowops, mtable.colops {
          margin-left:0.2em;
          margin-right:0.2em;
          font-size:75\%;
   }}
\Css{mtable.rowops mtr, mtable.colops mtr,
     mtable.rowops mtd, mtable.colops mtd
   {
     margin:0em; padding:0em;
   }}
\Configure{add}
   {\HCode{<mtr><mtd>}\mbox{add }\HCode{</mtd><mtd>}}
   {,\HCode{</mtd><mtd>}}
   {\HCode{</mtd></mtr>}}
\Configure{mult}
   {\HCode{<mtr><mtd>}\mbox{mult }\HCode{</mtd><mtd>}}
   {,\HCode{</mtd><mtd>}}
   {\HCode{</mtd></mtr>}}
\Configure{swap}
   {\HCode{<mtr><mtd>}\mbox{swap }\HCode{</mtd><mtd>}}
   {,\HCode{</mtd><mtd>}}
   {\HCode{</mtd></mtr>}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%





%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{rlbabel}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{[]}
  {\Configure{@math}{%\a:mathml
 display="block"
}\csname a:mathml[]\endcsname
   \DviMath\Tg<\a:mathml mrow\Hnewline>$$\DisplayMathtrue }
  {$$\Tg</\a:mathml mrow>\EndDviMath\csname b:mathml[]\endcsname
   \if@rl\else\beginR\fi }

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%























%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{dcolumn}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{dcolumn}
  {\NoFonts\Configure{$}{}{}{}}
  {\EndNoFonts}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

















































%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{mathtools}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{MT_gathered_env}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="MT-gathered-env">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
   {\HCode{\Hnewline<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}
\ConfigureEnv{MT_gathered_env}{}{}{}{}
\ConfigureEnv{gathered}
    {%
     \Configure{MT_gathered_env}
        {\HCode{<\a:mathml mtable\Hnewline
                          \mml:class="gathered" columnalign="center" >}}
        {\HCode{</\a:mathml mtable>}}
        {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
        {\HCode{\Hnewline<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}%
    }
    {}{}{}
\ConfigureEnv{lgathered}
    {%
     \Configure{MT_gathered_env}
        {\HCode{<\a:mathml mtable\Hnewline
                          \mml:class="lgathered" columnalign="left" >}}
        {\HCode{</\a:mathml mtable>}}
        {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
        {\HCode{\Hnewline<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}%
    }
    {}{}{}
\ConfigureEnv{rgathered}
    {%
     \Configure{MT_gathered_env}
        {\HCode{<\a:mathml mtable\Hnewline
                          \mml:class="rgathered" columnalign="right" >}}
        {\HCode{</\a:mathml mtable>}}
        {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
        {\HCode{\Hnewline<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}%
    }
    {}{}{}
\ConfigureEnv{cases}
   {\HCode{<\a:mathml mrow \mml:class="cases" >}}
   {\HCode{</\a:mathml mrow>}}
   {}{}
\Configure{dcases}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="dcases">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
   {\HCode{\Hnewline<\a:mathml mtd columnalign="left">}}
   {\HCode{</\a:mathml mtd>}}
\Configure{dcases*}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="dcases-star">}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
   {\HCode{\Hnewline<\a:mathml mtd columnalign="left">}%
    \ifnum\HCol=2
       \PauseMathClass
       \HCode{<\a:mathml mtext>}%
    \fi
   }
   {\ifnum\HCol=2
       \EndPauseMathClass
       \HCode{</\a:mathml mtext>}%
    \fi
    \HCode{</\a:mathml mtd>}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%































































%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{accents}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{accentset}
   {\HCode{<mover accent="true" class="accentset"><mrow>}}
   {\HCode{</mrow><mrow> }}
   {\HCode{</mrow></mover>}}
\Configure{underaccent}
   {\HCode{<munder class="underaccent"><mrow>}}
   {\HCode{</mrow><mrow> }}
   {\HCode{</mrow></munder>}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%








%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{subeqnarray}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{subeqnarray}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="subeqnarray\ifx
       \@seqncr\@eqncr\else-star\fi"
       \a:mathml columnalign="right center left" >}}%
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}  {\HCode{</\a:mathml mtr>}}
   {\Tg<\a:mathml mtd\Hnewline \mml:class="subeqnarray-\HCol">
      \ifnum \HCol=4
        \Tg<\a:mathml mtext
             \mml:class="subeqnarray">\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
        \mtexttrue
        \Configure{$}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}}%
  {\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
\Configure{()}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}$}%
  {$\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
%
      \fi}
   {\ifnum \HCol=4 \mtextfalse
      \EndPauseMathClass\ht:special{t4ht@,}%
\Tg</\a:mathml mtext>\fi
      \Tg</\a:mathml mtd>}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{sistyle}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{thousandsep}
  {\ifmathml
     \ifmtext\else \Tg<\a:mathml mspace width="0.25em"/>\fi
   \fi}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{ushort}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{ushort}
   {\bgroup
    \expandafter\ushort:data
   }
   {\egroup}
\Configure{ushortw}
   {\bgroup
    \expandafter\ushort:data
   }
   {\egroup}
\Configure{ushortd}
   {\bgroup
    \expandafter\ushortd:data
   }
   {\egroup}
\Configure{ushortdw}
   {\bgroup
    \expandafter\ushortd:data
   }
   {\egroup}
\Configure{ushortdline}
   {\bgroup\expandafter\ushortdline:data }
   {\egroup}
\def\ushort:data#1#2{\underline{\:gobbleIII #2}}
\def\ushortd:data#1#2{\underline{\underline{\:gobbleIII #2}}}
\def\ushortdline:data#1#2{#1{#1{\:gobble #2}}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{bm}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{bm}
  {\ifmmode \ifmtext \else
     \Tg<\a:mathml mstyle
             mathvariant="bold">%
     \expandafter\expandafter\expandafter\:gobble
   \fi\fi}
  {\ifmmode \ifmtext \else \Tg</\a:mathml mstyle>\fi\fi}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\endinput\empty\empty\empty\empty\empty\empty
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



















































































































\endinput

