% mathml.4ht (2025-10-17-09:06), generated from tex4ht-mathml.tex
% Copyright 2009-2025 TeX Users Group
% Copyright 1999-2009 Eitan M. Gurari
%
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either
% version 1.3c of this license or (at your option) any
% later version. The latest version of this license is in
%   https://www.latex-project.org/lppl.txt
% and version 1.3c or later is part of all distributions
% of LaTeX version 2005/12/01 or later.
%
% This work has the LPPL maintenance status "maintained".
%
% The Current Maintainer of this work
% is the TeX4ht Project <https://tug.org/tex4ht>.
%
% If you modify this program, changing the
% version identification would be appreciated.
\immediate\write-1{version 2025-10-17-09:06}

\exit:ifnot{Preamble,% 
accents,% 
amsbsy,% 
amscd,% 
amsfonts,% 
amsmath,% 
amsopn,% 
amssymb,% 
amstex,% 
amstex1,% 
amstext,% 
array,% 
bm,% 
cancel,% 
dcolumn,% 
esvect,% 
etex4ht,% 
fontmath,% 
gauss,% 
latex,% 
mathtools,% 
mhchem,% 
plain,% 
rlbabel,% 
sistyle,% 
siunitx,% 
stmaryrd,% 
subeqnarray,% 
tex4ht,% 
ulem,% 
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 \a:mathml separators=""\Hnewline
          \a:mathml open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" \a:mathml close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          \a:mathml 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 \a:mathml separators=""\Hnewline
          \a:mathml open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" \a:mathml close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          \a:mathml 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 \a:mathml separators=""\Hnewline
          \a:mathml open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" \a:mathml 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\mathunderscore{\nfss@text{\HChar{95}}}
\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}
\ExplSyntaxOn
\def\:tempa#1#2{% these functions must be protected
  \cs_set_protected:Npn\:tempb{\mathop{\PauseMathClass%
    \HCode{<\a:mathml mi~\mml:class="loglike">} #2\HCode{</\a:mathml mi>%
    <\a:mathml mo>&\#x2061;<!--FUNCTION~APPLICATION--></\a:mathml mo>}\EndPauseMathClass%
    }\nolimits
  }
  \HLet#1\:tempb
}
\ExplSyntaxOff

\:tempa\log{log}
\:tempa\lg{lg}
\:tempa\ln{ln}
\:tempa\sin{sin}
\:tempa\arcsin{arcsin}
\:tempa\sinh{sinh}
\:tempa\cos{cos}
\:tempa\arccos{arccos}
\:tempa\cosh{cosh}
\:tempa\tan{tan}
\:tempa\arctan{arctan}
\:tempa\tanh{tanh}
\:tempa\cot{cot}
\:tempa\coth{coth}
\:tempa\sec{sec}
\:tempa\csc{csc}
\:tempa\arg{arg}
\:tempa\ker{ker}
\:tempa\dim{dim}
\:tempa\hom{hom}
\:tempa\exp{exp}
\:tempa\deg{deg}
\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}
\let\columnlines\empty
\Configure{halignTB<>}{array}{\HCode{\Hnewline
   \a:mathml equalrows="false"
   \ifx\columnlines\empty\else\a:mathml columnlines="\columnlines" \fi
   \a:mathml equalcolumns="false" \a:mathml class="array" \a:mathml displaystyle="true"}<>\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 \mml:class="array-row">}{\Tg</\a:mathml mtr>}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="array-td"
   \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}
\def\mathml:hborder{%
\Configure{HBorder}
   {<\a:mathml mtr\Hnewline \mml:class="array-hline">}
   {<\a:mathml mtd \mml:class="hline-mtd"></\a:mathml mtd>
}
   {</\a:mathml mtr>}
   {<\a:mathml mtr\Hnewline \mml:class="array-cline">}
   {<\a:mathml mtd></\a:mathml mtd>}
   {<\a:mathml mtd \mml:class="hline-mtd"></\a:mathml mtd>
}
   {</\a:mathml mtr>}
   {<\a:mathml mtr\Hnewline
         \mml:class="array-vspace" style="font-size:\HBorderspace">}
   {}
   {</\a:mathml mtr>}
  }

  \mathml:hborder

\def\providemtextclass#1{%
  \Configure{@mtext}{#1}%
}

\Configure{texttt}
   {\ifmathml \providemtextclass{\mml:class="texttt"
         mathvariant="monospace" }\fi}
   {}%
\Configure{textit}
   {\ifmathml \providemtextclass{\mml:class="textit"
         mathvariant="italic" }\fi}
   {}%
\Configure{textrm}
   {\ifmathml \providemtextclass{\mml:class="textrm"
         mathvariant="normal" }\fi}
   {}%
\Configure{textup}
   {\ifmathml \providemtextclass{\mml:class="textup"
         mathvariant="normal" }\fi}
   {}%
\Configure{textsl}
   {\ifmathml \providemtextclass{\mml:class="textsl"
         mathvariant="italic" }\fi}
   {}%
\Configure{textsf}
   {\ifmathml \providemtextclass{\mml:class="textsf"
         mathvariant="sans-serif" }\fi}
   {}%
\Configure{textbf}
   {\ifmathml \providemtextclass{\mml:class="textbf"
         mathvariant="bold" }\fi}
   {}%
\Configure{textsc}
   {\ifmathml \providemtextclass{\mml:class="textsc"
         mathvariant="normal" }\fi}
   {}%
\Configure{emph}
   {\ifmathml \providemtextclass{\mml:class="emph"
         mathvariant="italic" }\fi}
   {}%
\def\:closebf{\HCode{</\a:mathml mi>}\EndPauseMathClass}
\def\:tempa{\ifmmode\expandafter\@firstoftwo\else\expandafter\@secondoftwo\fi{\PauseMathClass\HCode{<\a:mathml mi mathvariant="bold">}\aftergroup\:closebf}{\o:bf:}}
\HLet\bf\:tempa

\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}{\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
   \ifmmode\else
   \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
}
\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 \a:mathml displaystyle="true"
       \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{$}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}}%
  {\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
\Configure{()}%
  {\EndPauseMathClass \mtextfalse
      \ht:special{t4ht@,}%
\HCode{</\a:mathml mtext><\a:mathml
                                mstyle\Hnewline \mml:class="math">}$}%
  {$\HCode{</\a:mathml mstyle><\a:mathml
       mtext \a:@mtext>}\ht:special{t4ht@,&\#x00A0;}%
\PauseMathClass
   \mtexttrue}%
  {}%
%
      \fi}
   {\ifnum \HCol=4 \mtextfalse
      \EndPauseMathClass\ht:special{t4ht@,}%
\Tg</\a:mathml mtext>\fi
      \Tg</\a:mathml mtd>}
\def\:temp#1#2{{\a:stackrel{#1}\b:stackrel {#2}\c:stackrel}}
\HLet\stackrel\:temp
\:CheckOption{stackrel-}     \if:Option
   \Configure{stackrel}
      {\mathrel\bgroup \HCode{<\a:mathml mglyph\Hnewline
          alt="\string\stackrel}\afterassignment\put:arg\tmp:toks}
      {\afterassignment\put:arg\tmp:toks}
      {\HCode{" />}\egroup}
   \def\put:arg{\HCode{{\the\tmp:toks}}}
\else
   \Configure{stackrel}
     {\HCode{<\a:mathml mover\Hnewline
             \mml:class="stackrel"><\a:mathml mrow\Hnewline>}\inv:i:iii}
     {\HCode{</\a:mathml mrow><\a:mathml
               mrow\Hnewline>}\Configure{mathop*}{*}
         {<\a:mathml mrow>}
         {</\a:mathml mrow>}
         {\Configure{mathop}{}{}{}{}}%
\mathop}
     {\HCode{</\a:mathml mrow></\a:mathml mover>}}
   \def\inv:i:iii#1#2#3{{#3}#2{#1}}
\fi
\ifdefined\MathMLintent
\RenewDocumentCommand{\MathMLintent}{mm}{{%
  \def\${$}% Fix support for the \$ command
  \HCode{<mrow intent="#1">}#2\HCode{</mrow>}%
}}
\fi

\ifdefined\MathMLarg
\RenewDocumentCommand\MathMLarg{mm}{%
  \HCode{<mrow arg="#1">}#2\HCode{</mrow>}%
}
\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="0.33em" \mml:class="nbsp" />\fi
    \else \:nbsp\fi}

% redefine macro from unicode.4ht to produce better accents
\def\unicode:mathop#1{\PauseMathClass\HCode{<\a:mathml mo accent="true">}#1\HCode{</\a:mathml mo>}\EndPauseMathClass}

\:CheckOption{new-accents}     \if:Option \else
  \Configure{accent}\widetilde\widetilde{{}{}}
  {}
  {\HCode{<\a:mathml mover\Hnewline accent="true"><\a:mathml mrow\Hnewline>}#2\HCode{</\a:mathml mrow>}%
    \:widetilde:over  \HCode{</\a:mathml mover>}}
  % this configuration caused problems with text accents.
  % we can use Unicode characters with tilde accents instead even in MathML
  % \Configure{accent}\tilde\tilde{{}{}}
  % {}
  % {\HCode{<\a:mathml mover\Hnewline accent="true"><\a:mathml mrow\Hnewline>}#2\HCode{</\a:mathml mrow>}%
  %   \:tilde:over  \HCode{</\a:mathml mover>}}
  \Configure{accent}\widehat\widehat{{}{}}
  {}
  {\HCode{<\a:mathml mover\Hnewline accent="true"><\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\ifmtext TeX\else
   \HCode{<\a:mathml mtext
      \mml:class="TeX">TeX</\a:mathml mtext>}\fi\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{<\a:mathml mi>\string&\#x2033;</\a:mathml mi>}}\else
      \def\:tempa{\prime\prime\prime}\ifx \:tempa\:primes
              \mathop{\HCode{<\a:mathml mi>\string&\#x2034;</\a:mathml mi>}}\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 mrow><\a:mathml mo \a:mathml fence="true" \a:mathml form="prefix">%
       \expandafter
\ifx \csname \string#1:lr del\endcsname\relax #1\else
     \csname \string#1:lr del\endcsname\fi
</\a:mathml mo>}\bgroup
                              \HCode{<\a:mathml mrow>}\bgroup}
\Configure{right}
{\egroup\egroup}%{\egroup\Send{GROUP}{0}{ \a:mathml close=""\space}\egroup}
   {\HCode{</\a:mathml mrow><\a:mathml mo \a:mathml fence="true" \a:mathml form="postfix">\expandafter
\ifx \csname \string#1:lr del\endcsname\relax #1\else
     \csname \string#1:lr del\endcsname\fi
</\a:mathml mo></\a:mathml mrow>}}
\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}{*}
          {<mrow><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></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigl}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><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></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggl}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><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></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigl}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><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></mrow>}
          {\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>}{}}}
\ifdefined\protect%
\def\:unicodespace{\protect\leavevmode\special{t4ht@+\string&{35}x00A0{59}}x}%
\def\:unicodenspace{\protect\leavevmode\special{t4ht@+\string&{35}x2002{59}}x}%
\else%
\def\:unicodespace{\leavevmode\special{t4ht@+\string&{35}x00A0{59}}x}%
\def\:unicodenspace{\leavevmode\special{t4ht@+\string&{35}x2002{59}}x}%
\fi
\def\:nbsp{\ifmtext \:unicodespace%
\else\ifmathml
    \Tg<\a:mathml mspace />\else \:unicodespace%
\fi\fi}
\def\:ensp{\ifmtext \:unicodenspace%
\else\ifmathml
    \Tg<\a:mathml mspace />\else \:unicodenspace%
\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="0.17em" \mml:class="thinspace"/>}}}
\Configure{:}
   {{\HCode{<\a:mathml mspace width="0.22em" \mml:class="thinspace"/>}}}
\Configure{;}
   {{\HCode{<\a:mathml mspace width="0.28em" \mml:class="thickpace"/>}}}
\Configure{>}
   {{\HCode{<\a:mathml mspace width="0.30em" \mml:class="medspace"/>}}}
\Configure{!}
   {{\HCode{<\a:mathml mspace width="-0.17em" \mml:class="negthinspace"/>}}}

\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}


\def\:limspaces#1#2{\HCode{<\a:mathml mi>#1</\a:mathml mi><\a:mathml mspace class="thinspace"  width="0.17em"></\a:mathml mspace><\a:mathml mi>#2</\a:mathml mi><\a:mathml mspace class="thinspace" width="0.17em"></\a:mathml mspace>}}
\def\:tempa{\mathop{\:limspaces{lim}{sup}}\limits}
\HLet\limsup\:tempa
\def\:tempa{\mathop{\:limspaces{lim}{inf}}\limits}
\HLet\liminf\:tempa
\def\:temp#1#2{\def\:tempa{\PauseMathClass{\HCode{<mi mathvariant="normal">}\ht:special{t4ht@+\string&{35}x#2{59}}\a:HChar\HCode{</mi>}}\EndPauseMathClass}\HLet#1\:tempa}
\:temp\Gamma{0393}
\:temp\Delta{0394}
\:temp\Theta{0398}
\:temp\Lambda{039B}
\:temp\Xi{039E}
\:temp\Pi{03A0}
\:temp\Sigma{03A3}
\:temp\Upsilon{03A5}
\:temp\Phi{03A6}
\:temp\Psi{03A8}
\:temp\Omega{03A9}

\AtBeginDocument{%
\Configure{mathop*}{*}{}{}{\Configure{mathop}{*}{<\a:mathml mo>}{</\a:mathml mo>}{}}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\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

\def\:tempa#1{\bgroup\HCode{<\a:mathml mstyle\Hnewline mathvariant="script">}#1\HCode{</\a:mathml mstyle>}\egroup}
\HLet\mathcal\:tempa

\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$\Tg<\a:mathml mover accent="true" class="overrightarrow">%
   \Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\HCode{<\a:mathml mo>&\#x2192;</\a:mathml mo>}%
   \Tg</\a:mathml mover>$\egroup}
\Configure{overleftarrow}
  {\leavevmode\hbox\bgroup$\Tg<\a:mathml mover accent="true" class="overleftarrow">%
   \Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\HCode{<\a:mathml mo>&\#x2190;</\a:mathml mo>}%
   \Tg</\a:mathml mover>$\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
               &\#x23DF;</\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 mi\Hnewline
             \mml:class="MathClass-op">}{</\a:mathml mi><\a:mathml mo> &\#x2061;<!--FUNCTION APPLICATION--></\a:mathml mo>}{}
\Configure{MathClass}{2}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-bin" \a:mathml stretchy="false">}{</\a:mathml mo>}{}
\Configure{MathClass}{3}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-rel" \a:mathml stretchy="false">}{</\a:mathml mo>}{}
\Configure{MathClass}{4}{*}{<\a:mathml mo\Hnewline
          \mml:class="MathClass-open" \a:mathml stretchy="false">}
                        {</\a:mathml mo>}{}
\Configure{MathClass}{5}{*}{<\a:mathml mo\Hnewline
          \mml:class="MathClass-close" \a:mathml stretchy="false">}
                        {</\a:mathml mo>}{}
\Configure{MathClass}{6}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-punc" \a:mathml stretchy="false">}{</\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"]  {
      font-weight: bold;
      font-style: normal;
   }
}
\Css{
   math mstyle[mathvariant="normal"]  {
      font-weight: normal;
      font-style: normal;
   }
}
\NewConfigure{mathversion-style}[2]{\expandafter\gdef\csname :mathversion-#1\endcsname{#2}}
% ToDo: Add support for other mathversions
\Configure{mathversion-style}{bold}{\a:mathml mathvariant="bold-italic"}
\append:defI\mathversion{%
    % \a:DviMathML is executed at the beginning of math \a:@math is hook for attributes. we need to append out tags to it
    \Configure{DviMathML}{\append:def\a:@math{\ifcsname :mathversion-\math@version\endcsname\expandafter\csname :mathversion-\math@version\endcsname\fi}}{}%
}

\def\:tempd#1#2{%
   \expandafter\def\csname #1\endcsname{\mathchar"13#2\relax}%
   \MathSymbol\mathop{#1}%
   \expandafter\def\csname #1:limits\endcsname{\expandafter
                    \:same \math:sym\mathop{#1}\limits}%
   \expandafter\ProvideDocumentCommand\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{}\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}
\def\:tempc{\ifDisplayMath\mathop:prefix{}\fi\o:n:int::}
\HLet\n:int:\:tempc

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\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 \a:mathml displaystyle="true"
        \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\%; }   }
\def\eq:mathopen#1{\ifx\relax#1\relax\else\a:mathopen\fi\o:mathopen:{#1}}

% fix \mathopen inside equation
\Configure{@begin}{equation}{\let\mathopen\eq:mathopen%
}
\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 \a:mathml separators=""\Hnewline
          \a:mathml open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" \a:mathml close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          \a:mathml 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 \a:mathml displaystyle="true"  \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 \a:mathml displaystyle="true" \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 \a:mathml displaystyle="true" \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 \a:mathml displaystyle="true" \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 displaystyle="true" \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" \a:mathml displaystyle="true"  \mtable:align:attribute>}}
   {\HCode{</\a:mathml mtable>}}
   {\HCode{<\a:mathml mtr>}}    {\HCode{</\a:mathml mtr>}}
   {\HCode{\Hnewline<\a:mathml mtd>}}   {\HCode{</\a:mathml mtd>}}
\Configure{[]}{\begin{equation*}}{\end{equation*}}
\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{boldsymbol}{\bgroup\HCode{<\a:mathml mstyle mathvariant="bold-italic">}}{\HCode{</\a:mathml mstyle>}\egroup}
\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 \a:mathml separators=""\Hnewline
          \a:mathml open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" \a:mathml close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          \a:mathml 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 \a:mathml 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 \a:mathml separators=""\Hnewline
          \a:mathml open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" \a:mathml close="\expandafter
\ifx \csname \string#3:lr del\endcsname\relax #3\else
     \csname \string#3:lr del\endcsname\fi
"><\a:mathml mfrac
          \a:mathml 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 \a:mathml separators=""\Hnewline
          \a:mathml open="\expandafter
\ifx \csname \string#2:lr del\endcsname\relax #2\else
     \csname \string#2:lr del\endcsname\fi
" \a:mathml 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
 }
\pend:def\dfrac{\Configure{genfrac}{\HCode{<\a:mathml mstyle \a:mathml displaystyle="true"><mfrac><mrow>}
  \Configure{over}{}{}}{}{}{\HCode{</mrow><mrow>}
} {}{\HCode{</mrow></mfrac></\a:mathml mstyle>}}}
\pend:def\tfrac{\Configure{genfrac}{\HCode{<\a:mathml mstyle \a:mathml displaystyle="false"><mfrac><mrow>}
  \Configure{over}{}{}}{}{}{\HCode{</mrow><mrow>}
}{}{\HCode{</mrow></mfrac></\a:mathml mstyle>}}}
\pend:def\dbinom{\Configure{genfrac}{\HCode{<\a:mathml mstyle \a:mathml displaystyle="true">}}{}{}{}{}{\HCode{</\a:mathml mstyle>}}}
\pend:def\tbinom{\Configure{genfrac}{\HCode{<\a:mathml mstyle \a:mathml displaystyle="false">}}{}{}{}{}{\HCode{</\a:mathml mstyle>}}}
\def\:tempc{\ifDisplayMath\mathop:prefix{}\fi\o:n:iint::}
\HLet\n:iint:\:tempc
\def\:tempc{\ifDisplayMath\mathop:prefix{}\fi\o:n:iiint::}
\HLet\n:iiint:\:tempc
\def\:tempc{\ifDisplayMath\mathop:prefix{}\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
% thanks to Linas Stonys for this code
\def\mtable:align:attribute{%
  \if t\Hlcr\space\a:mathml align="axis 1"\fi
  \if b\Hlcr\space\a:mathml align="axis -1"\fi
  }

\Configure{aligned}
   {\HCode{<\a:mathml mtable\Hnewline \mml:class="aligned" \a:mathml displaystyle="true" \mtable:align:attribute>}}
   {\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" \a:mathml displaystyle="true"  \mtable:align:attribute>}}
   {\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{boxed}
   {\ifmathml \Tg<\a:mathml menclose \a:mathml notation="box">\Tg<\a:mathml mrow>%
    \else     \HCode{<span class="boxed">}\fi\IgnorePar}
   {\ifmathml \Tg</\a:mathml mrow>\Tg</\a:mathml menclose>%
    \else \HCode{</span>}\fi}
\Css{.boxed{border: 1px solid black; padding-left:2px;
                                     padding-right:2px;}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\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" \a:mathml displaystyle="true">}}
   {\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" \a:mathml displaystyle="true">}}
   {\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" \a:mathml displaystyle="true">}}
   {\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" \a:mathml displaystyle="true">}}
   {\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" \a:mathml displaystyle="true">}}
   {\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
   \ifmmode\else
   \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
}
\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$\Tg<\a:mathml mover accent="true" class="overrightarrow">%
   \Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\HCode{<\a:mathml mo>&\#x2192;</\a:mathml mo>}%
   \Tg</\a:mathml mover>$\egroup}
\Configure{overleftarrow}
  {\leavevmode\hbox\bgroup$\Tg<\a:mathml mover accent="true" class="overleftarrow">%
   \Tg<\a:mathml mrow\Hnewline>\:gobble}
  {\Tg</\a:mathml mrow>\HCode{<\a:mathml mo>&\#x2190;</\a:mathml mo>}%
   \Tg</\a:mathml mover>$\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
               &\#x23DF;</\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 mi\Hnewline
             \mml:class="MathClass-op">}{</\a:mathml mi><\a:mathml mo> &\#x2061;<!--FUNCTION APPLICATION--></\a:mathml mo>}{}
\Configure{MathClass}{2}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-bin" \a:mathml stretchy="false">}{</\a:mathml mo>}{}
\Configure{MathClass}{3}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-rel" \a:mathml stretchy="false">}{</\a:mathml mo>}{}
\Configure{MathClass}{4}{*}{<\a:mathml mo\Hnewline
          \mml:class="MathClass-open" \a:mathml stretchy="false">}
                        {</\a:mathml mo>}{}
\Configure{MathClass}{5}{*}{<\a:mathml mo\Hnewline
          \mml:class="MathClass-close" \a:mathml stretchy="false">}
                        {</\a:mathml mo>}{}
\Configure{MathClass}{6}{*}{<\a:mathml mo\Hnewline
             \mml:class="MathClass-punc" \a:mathml stretchy="false">}{</\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="0.33em" \mml:class="nbsp" />\fi
    \else \:nbsp\fi}

% redefine macro from unicode.4ht to produce better accents
\def\unicode:mathop#1{\PauseMathClass\HCode{<\a:mathml mo accent="true">}#1\HCode{</\a:mathml mo>}\EndPauseMathClass}

\:CheckOption{new-accents}     \if:Option \else
  \Configure{accent}\widetilde\widetilde{{}{}}
  {}
  {\HCode{<\a:mathml mover\Hnewline accent="true"><\a:mathml mrow\Hnewline>}#2\HCode{</\a:mathml mrow>}%
    \:widetilde:over  \HCode{</\a:mathml mover>}}
  % this configuration caused problems with text accents.
  % we can use Unicode characters with tilde accents instead even in MathML
  % \Configure{accent}\tilde\tilde{{}{}}
  % {}
  % {\HCode{<\a:mathml mover\Hnewline accent="true"><\a:mathml mrow\Hnewline>}#2\HCode{</\a:mathml mrow>}%
  %   \:tilde:over  \HCode{</\a:mathml mover>}}
  \Configure{accent}\widehat\widehat{{}{}}
  {}
  {\HCode{<\a:mathml mover\Hnewline accent="true"><\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\ifmtext TeX\else
   \HCode{<\a:mathml mtext
      \mml:class="TeX">TeX</\a:mathml mtext>}\fi\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{<\a:mathml mi>\string&\#x2033;</\a:mathml mi>}}\else
      \def\:tempa{\prime\prime\prime}\ifx \:tempa\:primes
              \mathop{\HCode{<\a:mathml mi>\string&\#x2034;</\a:mathml mi>}}\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 mrow><\a:mathml mo \a:mathml fence="true" \a:mathml form="prefix">%
       \expandafter
\ifx \csname \string#1:lr del\endcsname\relax #1\else
     \csname \string#1:lr del\endcsname\fi
</\a:mathml mo>}\bgroup
                              \HCode{<\a:mathml mrow>}\bgroup}
\Configure{right}
{\egroup\egroup}%{\egroup\Send{GROUP}{0}{ \a:mathml close=""\space}\egroup}
   {\HCode{</\a:mathml mrow><\a:mathml mo \a:mathml fence="true" \a:mathml form="postfix">\expandafter
\ifx \csname \string#1:lr del\endcsname\relax #1\else
     \csname \string#1:lr del\endcsname\fi
</\a:mathml mo></\a:mathml mrow>}}
\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}{*}
          {<mrow><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></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{Bigl}
   {\bgroup
       \Configure{Big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><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></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{biggl}
   {\bgroup
       \Configure{bigg}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><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></mrow>}
          {\Configure{mathclose}{}{}{}{}}%
   }
   {\egroup}
\Configure{bigl}
   {\bgroup
       \Configure{big}{}{}{}{}%
       \Configure{mathopen}{*}
          {<mrow><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></mrow>}
          {\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>}{}}}
\ifdefined\protect%
\def\:unicodespace{\protect\leavevmode\special{t4ht@+\string&{35}x00A0{59}}x}%
\def\:unicodenspace{\protect\leavevmode\special{t4ht@+\string&{35}x2002{59}}x}%
\else%
\def\:unicodespace{\leavevmode\special{t4ht@+\string&{35}x00A0{59}}x}%
\def\:unicodenspace{\leavevmode\special{t4ht@+\string&{35}x2002{59}}x}%
\fi
\def\:nbsp{\ifmtext \:unicodespace%
\else\ifmathml
    \Tg<\a:mathml mspace />\else \:unicodespace%
\fi\fi}
\def\:ensp{\ifmtext \:unicodenspace%
\else\ifmathml
    \Tg<\a:mathml mspace />\else \:unicodenspace%
\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="0.17em" \mml:class="thinspace"/>}}}
\Configure{:}
   {{\HCode{<\a:mathml mspace width="0.22em" \mml:class="thinspace"/>}}}
\Configure{;}
   {{\HCode{<\a:mathml mspace width="0.28em" \mml:class="thickpace"/>}}}
\Configure{>}
   {{\HCode{<\a:mathml mspace width="0.30em" \mml:class="medspace"/>}}}
\Configure{!}
   {{\HCode{<\a:mathml mspace width="-0.17em" \mml:class="negthinspace"/>}}}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\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{\:limspaces{lim}{inf}}}
\HLet\liminf=\:tempc
\def\:tempc{\qopname\relax m{\:limspaces{lim}{sup}}}
\HLet\limsup=\:tempc
\def\:tempc{\qopname\relax m{\:limspaces{proj}{lim}}}
\HLet\projlim=\:tempc
\def\:tempc{\qopname\relax m{\:limspaces{inj}{lim}}}
\HLet\injlim=\:tempc
\Configure{qopname}
   {\Configure{mathop}{*}
      {<\a:mathml mi \mml:class="qopname">}
  {</\a:mathml mi><\a:mathml mo> &\#x2061;<!--FUNCTION APPLICATION--> </\a:mathml mo>}
      {}}

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

























%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{array}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \let\columnlines\empty
\Configure{halignTB<>}{array}{\HCode{\Hnewline
   \a:mathml equalrows="false"
   \ifx\columnlines\empty\else\a:mathml columnlines="\columnlines" \fi
   \a:mathml equalcolumns="false" \a:mathml class="array" \a:mathml displaystyle="true"}<>\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 \mml:class="array-row">}{\Tg</\a:mathml mtr>}
   {\HCode{<\a:mathml mtd\Hnewline \mml:class="array-td"
   \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>}%
       % the content of this environment is displayed as text, we must switch back to the normal math processing
       % in inline math
       \Configure{$}{\EndPauseMathClass\HCode{</\a:mathml mtext>}}{\PauseMathClass\HCode{<\a:mathml mtext>}}{}%
       \Configure{()}{\HCode{</\a:mathml mtext>}\EndPauseMathClass$}{$\PauseMathClass\HCode{<\a:mathml mtext>}}{}%
    \fi
   }
   {\ifnum\HCol=2
       \EndPauseMathClass
       \HCode{</\a:mathml mtext>}%
    \fi
    \HCode{</\a:mathml mtd>}}
% support bidirectional harpoons
\def\:leftrightharpoons{\HCode{<\a:mathml mo stretchy="true">}\PauseMathClass\x:unicode{21CC}\EndPauseMathClass\HCode{</\a:mathml mo>}}
\def\:righleftharpoons{\HCode{<\a:mathml mo stretchy="true">}\PauseMathClass\x:unicode{21CB}\EndPauseMathClass\HCode{</\a:mathml mo>}}

\providecommand*\:xleftrightharpoons[2][]{%
\ext@arrow 3095\:leftrightharpoons{#1}{#2}}

\providecommand*\:xrightleftharpoons[2][]{%
\ext@arrow 3095\:leftrightharpoons{#1}{#2}}

\HLet\xleftrightharpoons\:xleftrightharpoons
\HLet\xrightleftharpoons\:xrightleftharpoons

% correctly place text under and over arrows
\def\:tempa#1#2#3#4#5#6#7{%
  \bgroup%
  \def\relbar{}% remove relbar in arrow fills
  \def\arrowfill@##1##2##3##4{##1##2##3##4}% remove arrowfill@, to prevent errors
  \@ifempty{#7}{%
    \HCode{<\a:mathml munder><\a:mathml mrow><\a:mathml mo stretchy="true">}\PauseMathClass#5{}\EndPauseMathClass\HCode{</\a:mathml mo></\a:mathml mrow><\a:mathml mrow>}#6\HCode{</\a:mathml mrow></\a:mathml munder>}%
  }{%
    \@ifempty{#6}{%
      \HCode{<\a:mathml mover><\a:mathml mrow><\a:mathml mo stretchy="true">}\PauseMathClass#5{}\EndPauseMathClass\HCode{</\a:mathml mo></\a:mathml mrow><\a:mathml mrow>}#7\HCode{</\a:mathml mrow></\a:mathml mover>}%
    }{%
      \HCode{<\a:mathml munderover><\a:mathml mrow><\a:mathml mo stretchy="true">}\PauseMathClass#5{}\EndPauseMathClass\HCode{</\a:mathml mo></\a:mathml mrow><\a:mathml mrow>}#6\HCode{</\a:mathml mrow><\a:mathml mrow>}#7\HCode{</\a:mathml mrow></\a:mathml munderover>}%
    }%
  }%
  \egroup
}

\HLet\ext@arrow\:tempa

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  
\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{siunitx}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    % redefinitions of Expl 3 syntax commands
\ExplSyntaxOn
% this fixes circle in degree celsius not printed as superscript
\siunitx_declare_unit:Ne \degreeCelsius { \HCode{<\a:mathml msup><\a:mathml mrow /><\a:mathml mi>&\#x2218;</\a:mathml mi></\a:mathml msup>} C }

\ExplSyntaxOff

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

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



































%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{ulem}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{uline-math}
   {\HCode{<\a:mathml menclose class="uline-math" notation="bottom">}\NoFonts} {\EndNoFonts\HCode{</\a:mathml menclose>}}
\Configure{uuline-math}
   {\HCode{<\a:mathml menclose class="uuline-math" notation="bottom">}\NoFonts} {\EndNoFonts\HCode{</\a:mathml menclose>}}
\Css{.uuline-math{ border-bottom:3px double black; }}
\Configure{sout-math}
   {\HCode{<\a:mathml menclose class="sout-math" notation="horizontalstrike">}\NoFonts} {\EndNoFonts\HCode{</\a:mathml menclose>}}
\Configure{xout-math}
   {\HCode{<\a:mathml menclose class="xout-math" notation="horizontalstrike bottom">}\NoFonts}
   {\EndNoFonts\HCode{</\a:mathml menclose>}}
\Configure{uwave-math}
   {\HCode{<\a:mathml menclose class="uwave-math" notation="bottom">}\NoFonts}
   {\EndNoFonts\HCode{</\a:mathml menclose>}}
\Configure{dashuline-math}
   {\HCode{<\a:mathml mstyle class="dashuline-math" notation="bottom">}\NoFonts}
   {\EndNoFonts\HCode{</\a:mathml mstyle>}}
\Css{.dashuline-math {border-bottom: 1px dashed black;}}
\Configure{dotuline-math}
   {\HCode{<\a:mathml mstyle class="dotuline-math" notation="bottom">}\NoFonts}
   {\EndNoFonts\HCode{</\a:mathml mstyle>}}
\Css{.dotuline-math {border-bottom: 1px dotted black;}}

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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{cancel}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{cancel-math}{\HCode{<\a:mathml menclose notation="updiagonalstrike">}}{\HCode{</\a:mathml menclose>}}
\Configure{bcancel-math}{\HCode{<\a:mathml menclose notation="downdiagonalstrike">}}{\HCode{</\a:mathml menclose>}}
\Configure{xcancel-math}{\HCode{<\a:mathml menclose notation="updiagonalstrike downdiagonalstrike">}}{\HCode{</\a:mathml menclose>}}
\Configure{cancelto}
{\HCode{<\a:mathml msup><\a:mathml menclose notation="updiagonalarrow"><\a:mathml mrow>}}
{\HCode{</\a:mathml mrow></\a:mathml menclose><\a:mathml mrow>}}
{\HCode{</\a:mathml mrow></\a:mathml msup>}}

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






























%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{stmaryrd}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    
\def\:tempa{\HCode{<\a:mathml mo fence="false">\string&\#x27E6;</\a:mathml mo>}}
\HLet\llbracket\:tempa
\def\:tempa{\HCode{<\a:mathml mo fence="false">\string&\#x27E7;</\a:mathml mo>}}
\HLet\rrbracket\:tempa
\Configure{mfenced}{\llbracket}{\string&\#x27E6;}
\Configure{mfenced}{\rrbracket}{\string&\#x27E7;}

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














































































































%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{mhchem}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \Configure{mhchemcf}{\bgroup\HCode{<\:mhmathmlorhtml{mrow}{span}\space class="mhchem-cf">}}{\HCode{</\:mhmathmlorhtml{mrow}{span}>}\egroup}
\Configure{mhchemce}{\bgroup\HCode{<\:mhmathmlorhtml{mrow}{span}\space class="mhchem-ce">}}{\HCode{</\:mhmathmlorhtml{mrow}{span}>}\egroup}

% we configure subscripts and superscripts to have empty bases. it is because if superscript followed subscript, we got wrong
% MathML markup, with mismatched tags. For example: \ce{CrO4^2-}
\Configure{mhchemsub}{%
  \:mhmathmlorhtml{%
  \HCode{<\a:mathml msub><mrow></mrow><\a:mathml mrow>}%
  }{%
  \HCode{<sub>}}%
}{\:mhmathmlorhtml{\Tg</\a:mathml mrow>\TG</\a:mathml msub>}{\HCode{</sub>}}}
\Configure{mhchemsup}{%
  \:mhmathmlorhtml{
  \HCode{<\a:mathml msup><mrow></mrow><\a:mathml mrow>}%
  }{%
  \HCode{<sup>}}%
}{\:mhmathmlorhtml{\Tg</\a:mathml mrow>\TG</\a:mathml msup\Hnewline>}{\HCode{</sup>}}}


\Configure{mhchemsupsub}{\setbox0=\hbox\bgroup$}{$\egroup\setbox1=\hbox\bgroup$}{$\egroup\HCode{<\a:mathml msubsup><\a:mathml mrow></\a:mathml mrow><\a:mathml mrow>}\box1\HCode{</\a:mathml mrow><\a:mathml mrow>}\box0\HCode{</\a:mathml mrow></\a:mathml msubsup>}}
\Configure{mhchemisotope}{\setbox0=\hbox\bgroup$}{$\egroup\setbox1=\hbox\bgroup$}{$\egroup\HCode{<\a:mathml msubsup><\a:mathml mrow></\a:mathml mrow><\a:mathml mrow>}\box1\HCode{</\a:mathml mrow><\a:mathml mrow>}\box0\HCode{</\a:mathml mrow></\a:mathml msubsup>}}



% mhchemoperator is always used inside \HCode, so we need not to use \HCode in it's configuration
\Configure{mhchemoperator}{<\:mhmathmlorhtml{mo \a:mathml stretchy="false" }{span} class="mhchem-operator">}{</\:mhmathmlorhtml{mo}{span}>}

\Configure{mhchemarrow}{\HCode {<\:mhmathmlorhtml{mrow}{span} class="mhchem-arrow">\:mhonlyinmathml{\a:mhchemoperator}}\PauseMathClass}{\EndPauseMathClass\HCode{\:mhonlyinmathml{\b:mhchemoperator}</\:mhmathmlorhtml{mrow}{span}>}}
\Configure{mhchemarrowabove}{\HCode{<\:mhmathmlorhtml{mrow}{span} class="mhchem-above">\:mhonlyinmathml{\a:mhchemoperator}}\PauseMathClass}{\EndPauseMathClass\HCode{\:mhonlyinmathml{\b:mhchemoperator}</\:mhmathmlorhtml{mrow}{span}>}}
\Configure{mhchemarrowyields}{\ensuremath{\HCode{<\:mhmathmlorhtml{mrow}{span} class="mhchem-arrow-normal">\:mhonlyinmathml{\a:mhchemoperator}&\#x27F6;\:mhonlyinmathml{\b:mhchemoperator}</\:mhmathmlorhtml{mrow}{span}>}}}
\Configure{mhchemarrowyieldsLeft}{\ensuremath{\HCode{<\:mhmathmlorhtml{mrow}{span} class="mhchem-arrow-normal">\:mhonlyinmathml{\a:mhchemoperator}&\#x27F5;\:mhonlyinmathml{\b:mhchemoperator}</\:mhmathmlorhtml{mrow}{span}>}}}
\Configure{mhchemarrowyieldsLeftRight}{\ensuremath{\HCode{<\a:mathml munder class="mhchem-arrow-larger"><\a:mathml mrow><\a:mathml mpadded height="0" depth="0.3em"><\a:mathml mo  stretchy="false" >&\#x27F5;</\a:mathml mo></\a:mathml mpadded></\a:mathml mrow>
  <\a:mathml mrow><\a:mathml mpadded depth="0" height="0"><\a:mathml mo stretchy="false">&\#x27F6;</\a:mathml mo></\a:mathml mpadded></\a:mathml mrow></\a:mathml munder>}
}}
\Configure{mhchemarrowmesomerism}{\HCode{<\:mhmathmlorhtml{mrow}{span} class="mhchem-arrow-normal">\:mhonlyinmathml{\a:mhchemoperator}&\#x2194;\:mhonlyinmathml{\b:mhchemoperator}</\:mhmathmlorhtml{mrow}{span}>}}  % todo: improve
% \Configure{mhchemarrowequilibrium}{\ensuremath{\HCode{<\:mhmathmlorhtml{mrow}{span} class="mhchem-arrow-normal">\:mhonlyinmathml{\a:mhchemoperator}&\#x21cc;\:mhonlyinmathml{\b:mhchemoperator}</\:mhmathmlorhtml{mrow}{span}>}}}  % todo: improve
\Configure{mhchemarrowequilibrium}{\ensuremath{\HCode{<\a:mathml munder class="mhchem-arrow-larger"><\a:mathml mrow><\a:mathml mpadded  height="0" depth="0" voffset="-0.1em" ><\a:mathml mo  stretchy="true" >&\#x21c0;</\a:mathml mo></\a:mathml mpadded></\a:mathml mrow>
  <\a:mathml mpadded height="0" depth="0" ><\a:mathml mo stretchy="false">&\#x21bd;</\a:mathml mo></\a:mathml mpadded></\a:mathml munder>}
}}  % todo: improve
% this configuration is inspired by the MathML code from MathJax. There is a problem with vertical positioning of arrows, so we need to use
% the <mpadded> element to fix that. It is still not perfect, moreover, there is a difference in rendering between
% vanilla Firefox and MathJax's MathML
\Configure{mhchemarrowequilibriumRight}
{\ensuremath{\HCode{<\a:mathml munder class="mhchem-arrow-larger"><\a:mathml mrow><\a:mathml mpadded  height="0" depth="1" voffset="3px"><\a:mathml mo  stretchy="true" >&\#x21c0;</\a:mathml mo></\a:mathml mpadded></\a:mathml mrow>
  <\a:mathml mpadded height="0" depth="1" voffset="2px"><\a:mathml mspace width="0.167em"></\a:mathml mspace><\a:mathml mo stretchy="false">&\#x21bd;</\a:mathml mo><\a:mathml mspace width="0.167em"></\a:mathml mspace></\a:mathml mpadded></\a:mathml munder>}
}}  % todo: improve
\Configure{mhchemarrowequilibriumLeft}
{\ensuremath{\HCode{<\a:mathml munder class="mhchem-arrow-larger"><\a:mathml mrow><\a:mathml mpadded  height="0" depth="1" voffset="4px"><\a:mathml mspace width="0.167em"></\a:mathml mspace><\a:mathml mo stretchy="false">&\#x21c0;</\a:mathml mo><\a:mathml mspace width="0.167em"></\a:mathml mspace></\a:mathml mpadded></\a:mathml mrow>
  <\a:mathml mpadded  height="0" depth="1" voffset="2px"><\a:mathml mo  stretchy="true" >&\#x21bd;</\a:mathml mo></\a:mathml mpadded></\a:mathml munder>}
}}  % todo: improve

% this is not the right symbol
% \Configure{mhchemarrowequilibriumRight}{\a:mhchemoperator\HCode{&\#x2942;}\b:mhchemoperator }  % todo: improve
% \Configure{mhchemarrowequilibriumLeft}{\a:mhchemoperator\HCode{&\#x2943;}\b:mhchemoperator}  % todo: improve
\Configure{mhchembondhalf}{\HCode{<span class="mhchem-bond-half-middle">&\#xfe4d;</span>}}
\Configure{mhchembondoneandhalf}{\HCode{<span class="mhchem-rlap">&\#x2212;</span><span class="mhchem-bond-half-top">&\#xfe4d;</span>}}
\Configure{mhchembondtwoandhalf}{\HCode{<span class="mhchem-rlap">=</span><span class="mhchem-bond-half-top">&\#xfe4d;</span>}}
\Configure{mhchembondtwoandhalff}{\HCode{<span class="mhchem-rlap mhchem-bond-top">&\#x2212;</span><span class="mhchem-rlap mhchem-bond-bottom">&\#x2212;</span><span class="mhchem-bond-half-middle">&\#xfe4d;</span>}}

\ExplSyntaxOn
\cs_set_protected:Npn \__mhchem_arrow_deployfourht:nnnnn #1#2#3#4#5
  {
\bgroup
\ensuremath{%
  % we need to test if the text is larger than arrow. if it is, the math operator needs to be stretchy.
  % otherwise, it must be not stretchy, otherwise the text over arrow will be aligned to the right
  \setbox0=\hbox{\tl_if_empty:nF {#3#5}
    {
      \str_case:nnF {#2}
      {
        {   } { \ce{ #5 } }
        { M } { { #5 } }
        { T } {  \text{ #5 } }
        { C } { \ce{ #5 } }
      }
      { \msg_error:nnn { mhchem } { unexpected-arrow-type } {#2} }
  }}
  \setbox1=\hbox{\tl_if_empty:nF {#3#5}
    {
      \str_case:nnF {#2}
      {
        {   } { \ce{ #3 } }
        { M } { { #3 } }
        { T } { \text{ #3 } }
        { C } { \ce{ #3 } }
      }
      { \msg_error:nnn { mhchem } { unexpected-arrow-type } {#2} }
  }}
  % now compare dimensions of boxes and change  math stretchines
  \ifdim \wd0>1em
    \Configure{mhchemoperator}{<\a:mathml mo~\a:mathml stretchy="true"~\a:mathml class="mhchem-operator">}{</\a:mathml mo>}
  \else
    \ifdim \wd1>1em
      \Configure{mhchemoperator}{<\a:mathml mo~\a:mathml stretchy="true"~\a:mathml class="mhchem-operator">}{</\a:mathml mo>}
    \fi
  \fi
\a:mhchemmathlarrow
    \str_case:nnF {#1}
      {
        { yields } {\a:mhchemarrowyields }
        { yieldsLeft } {\a:mhchemarrowyieldsLeft }
        { yieldsLeftRight } {\a:mhchemarrowyieldsLeftRight }  % todo: improve
        { esomerism } {\a:mhchemarrowesomerism }  % todo: improve
        { equilibrium } {\a:mhchemarrowequilibrium }  % todo: improve
        { equilibriumRight } {\a:mhchemarrowequilibriumRight }  % todo: improve
        { equilibriumLeft } {\a:mhchemarrowequilibriumLeft }  % todo: improve
      }
      { \msg_error:nnn { mhchem } { unexpected-arrow-type } {#1} }
\b:mhchemmathlarrow
      \box0
\c:mhchemmathlarrow
      \box1
\d:mhchemmathlarrow
}
\egroup
  }

\HRestore\__mhchem_arrow_deploy:nnnnn
\HLet\__mhchem_arrow_deploy:nnnnn\__mhchem_arrow_deployfourht:nnnnn
\ExplSyntaxOff

\NewConfigure{mhchemmathlarrow}{4}
\Configure{mhchemmathlarrow}{\HCode{<\a:mathml munderover><\a:mathml mrow>}}{\HCode{</\a:mathml mrow><\a:mathml mpadded>}}{\HCode{</\a:mathml mpadded><\a:mathml mpadded>}}{\HCode{</\a:mathml mpadded></\a:mathml munderover>}}


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



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                \ConfigureHinput{esvect}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    \def\:tempa#1{%
\bgroup\HCode{<\a:mathml mover><\a:mathml mrow>}#1\HCode{</\a:mathml mrow><\a:mathml mo \a:mathml stretchy="true">}
\PauseMathClass\fldr\EndPauseMathClass%
\HCode{</\a:mathml mo></\a:mathml mover>}\egroup
}

\HRestore\ESV@vecteur
\HLet\ESV@vecteur\:tempa

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


\endinput

