% plain.4ht (2021-04-25-09:48), generated from tex4ht-4ht.tex
% Copyright 1997-2009 Eitan M. Gurari
% Copyright 2009-2021 TeX Users Group
%
% 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
%   http://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 <http://tug.org/tex4ht>.
%
% If you modify this program, changing the
% version identification would be appreciated.
\immediate\write-1{version 2021-04-25-09:48}

\ifx\SaveMkHalignConf:g\:UnDef \else \expandafter\endinput\fi

\def\:tmp#1#2{%
   \expand:after{\expandafter\let\csname ams:#1\endcsname}%
      \csname #1\endcsname
   \pend:def#2{%
      \expand:after{\expandafter\let\csname #1\endcsname}%
          \csname ams:#1\endcsname}}
   
   \expandafter\ifx \csname amsppt.sty\endcsname\relax
 \else
   \ifx  \plainend\:UnDef \else
      \let\sv:end\end  \let\end\plainend
   \fi
   \let\sv:logo\logo@  \let\logo@\empty
\fi

   



\def\:tempc#1{{\hbox{\pic:gobble\a:big$\pic:gobble\c:big\left#1\vbox
    to8.5\p@{}\right.\n@space\pic:gobble\d:big$\pic:gobble\b:big}}}
\HLet\big=\:tempc
\def\:tempc#1{{\hbox{\pic:gobble\a:Big$\pic:gobble\c:Big\left#1\vbox
    to11.5\p@{}\right.\n@space\pic:gobble\d:Big$\pic:gobble\b:Big}}}
\HLet\Big\:tempc
\def\:tempc#1{{\hbox{\pic:gobble\a:bigg$\pic:gobble\c:bigg\left#1\vbox
    to14.5\p@{}\right.\n@space\pic:gobble\d:bigg$\pic:gobble\b:bigg}}}
\HLet\bigg\:tempc
\def\:tempc#1{{\hbox{\pic:gobble\a:Bigg$\pic:gobble\c:Bigg\left#1\vbox
    to17.5\p@{}\right.\n@space\pic:gobble\d:Bigg$\pic:gobble\b:Bigg}}}
\HLet\Bigg\:tempc
\HLet\Bigg=\:tempc
\NewConfigure{big}{4}
\NewConfigure{Big}{4}
\NewConfigure{bigg}{4}
\NewConfigure{Bigg}{4}

\def\:temp#1{\a:overbrace \mathop{\hbox{\b:overbrace
   $\o:overbrace:{#1}$\c:overbrace}}\limits}
\HLet\overbrace\:temp
\NewConfigure{overbrace}{3}
\def\:temp#1{\a:underbrace \mathop{\hbox{$\b:underbrace
   \o:underbrace:{#1}\c:underbrace$}}\limits}
\HLet\underbrace\:temp
\NewConfigure{underbrace}{3}

\MathSymbol\mathop{angle}
\MathSymbol\mathop{cong}
\MathSymbol\mathop{vdots}
\MathSymbol\mathop{ldots}
\MathSymbol\mathrel{Longleftrightarrow}
\MathSymbol\mathrel{Longrightarrow}
\MathSymbol\mathrel{bowtie}
\MathSymbol\mathrel{cdots}
\MathSymbol\mathrel{ddots}
\MathSymbol\mathrel{doteq}
\MathSymbol\mathrel{hookleftarrow}
\MathSymbol\mathrel{hookrightarrow}
\MathSymbol\mathrel{leftrightharpoons}
\MathSymbol\mathrel{longleftrightarrow}
\MathSymbol\mathrel{longmapsto}
\MathSymbol\mathrel{mapsto}
\MathSymbol+\mathrel{mid}
\MathSymbol\mathrel{models}
\MathSymbol\mathrel{neq} \let\ne\neq   \def\c:ne:{\Configure{neq}}
\MathSymbol\mathrel{notin}
\MathSymbol\mathrel{rightleftharpoons}



\let\:DL:\empty
\let\:OL:\empty


\long\def\vfootnote#1{%
   \gHAdvance\FNnum  1
   \def\FNmark{#1}\ifx \FNmark\empty
      \def\FNmark{*}%
   \fi
   \a:vfootnote\b:vfootnote\bgroup
   \futurelet\:temp\fnt:body}
\def\fnt:body{\ifx \:temp\bgroup \bgroup
      \aftergroup\end:vfootnote\def\:temp{\let\:temp}%
   \else \def\:temp##1{##1\end:vfootnote}\fi
   \:temp}
\def\end:vfootnote{\egroup\c:vfootnote}
\HAssign\FNnum  0
\NewConfigure{vfootnote}{3}

\def\gt:tab{\def\:temp##1.##2//{##1}\tmp:dim\m:tab\wd\z@}
\def\t@bb@x{\if@cr\egroup \let\TabWidth\empty
%
  \else\hss\egroup  \edef\TabWidth{\expandafter\:temp\the\tmp:dim//}%
%
      \global\setbox\tabsyet\hbox{\unhbox\tabsyet
      \global\setbox\@ne\lastbox}%
    \ifvoid\@ne\global\setbox\@ne\hbox to\wd\z@{}%
    \else\setbox\z@\hbox to\wd\@ne{\unhbox\z@}\fi
    \global\setbox\tabsdone\hbox{\box\@ne\unhbox\tabsdone}\fi
  \ifx \EndPicture\:UnDef \c:tabalgn \fi \box\z@
  \ifx \EndPicture\:UnDef \d:tabalgn \fi}

\def\m@ketabbox{\begingroup
  \global\setbox\tabsyet\copy\tabs
  \global\setbox\tabsdone\null
  \def\cr{\@crtrue\crcr\egroup\egroup
    \ifus@  \ifx \EndPicture\:UnDef \a:tabalgn \fi
        \unvbox\z@\lastbox
        \ifx \EndPicture\:UnDef \b:tabalgn \fi
    \fi\endgroup
    \setbox\tabs\hbox{\unhbox\tabsyet\unhbox\tabsdone}}%
  \setbox\z@\vbox\bgroup\@crfalse
  \everycr{}\tabskip\z@skip\TeXhalign
\bgroup&\t@bbox##\t@bb@x\crcr}

\pend:def\settabs{\e:tabalgn}


\def\:temp{\o:obeylines:
   \let\obeylines\o:obeylines:
   \a:obyln \global\let\x:obln\end:obeylines \aftergroup\x:obln
   \def\:temp{%
      \ifx\:tempa\par \ht:everypar{\ht:everypar{\b:obyln}}%
      \else \ht:everypar{\b:obyln}\fi}%
   \futurelet\:tempa\:temp }
\HLet\obeylines\:temp
\NewConfigure{obeylines}[3]{\c:def\a:obyln{#1}\c:def\b:obyln{#3}%
   \c:def\end:obeylines{#2}}
\def\:temp#1{\leavevmode\a:oalign\o:oalign:{#1}\b:oalign}
\HLet\oalign\:temp
\NewConfigure{oalign}{2}


      \let\makeheadline\empty
      \let\makefootline\empty


\pend:defI\centerline{\pic:gobble\cnt:a}
\append:defI\centerline{\pic:gobble\cnt:b}
\pend:defI\leftline{\pic:gobble\lft:a}
\append:defI\leftline{\pic:gobble\lft:b}
\pend:defI\rightline{\pic:gobble\a:rightline}
\append:defI\rightline{\pic:gobble\b:rightline}

\let\:ins\@ins
\let\:endinsert\endinsert
\def\::ns{\:ins \let\endinsert\:endinsert}
\def\@ins{\ifx \EndPicture\:UnDef \par\a:insert\par\bgroup
      \def\endinsert{\egroup\par\b:insert\par}
   \else \expandafter\::ns\fi }

\HLet\footnote\vfootnote

\:CheckOption{new-accents}     \if:Option
    \def\:temp#1{{\accent24 #1}}
\let\c:accent\c   \HLet\c:accent\:temp   \let\c\c:accent

    \def\:temp#1{{\edef\next{\the\font}\rm\accent0 \next#1}}
\let\b:accent\b   \HLet\b:accent\:temp   \let\b\b:accent
\def\:temp#1{{\edef\next{\the\font}\rm\accent1 \next#1}}
\let\d:accent\d   \HLet\d:accent\:temp   \let\d\d:accent

    
\else
    \NewConfigure{accents}[2]{\def\a:accents##1##2{#1}%
   \def\b:accents##1##2##3{#2}}

\fi

\pend:def\protect:wrtoc{\Configure{ }{ }}

\NewConfigure{insert}{2}
\NewConfigure{TableOfContents}{5}
\def\E:tabalign#1{\def\e:tabalgn{\ifx \EndPicture\:UnDef #1\fi}}
\def\c:settabs:{\c:def\:tempa{settabs}\futurelet\:temp\:tblgn}
\NewConfigure{line}{1}
\NewConfigure{centerline}[2]{\c:def
   \cnt:a{\a:leftline{#1}}\c:def\cnt:b{\b:leftline{#2}}}
\NewConfigure{leftline}[2]{\c:def
   \lft:a{\a:leftline{#1}}\c:def\lft:b{\b:leftline{#2}}}
\NewConfigure{rightline}[2]{\c:def
   \a:rightline{\a:leftline{#1}}\c:def\b:rightline{\b:leftline{#2}}}
\long\def\a:leftline#1{{\ht:everypar{}#1}\expandafter\hbox\:gobble}
\long\def\b:leftline#1{{\ht:everypar{}#1}}
\NewConfigure{narrower}{2}

\:CheckOption{no-halign} \if:Option \else
   \def\:temp{\everycr{}}
   \HLet\displ@y\:temp
\fi
\def\:tblgn{\ifx [\:temp \expandafter\:tbln
   \else  \expandafter\c:tblgn \fi}
\def\:tbln[#1]#2#3#4#5{%
   \def\m:tab{#2#3#4#5}\ifx \m:tab\empty \else
      \Configure{\:tempa}{#2}{#3}{#4}{#5}{}\fi
   \def\m:tab{#1}}
\long\def\c:tblgn#1#2#3#4{%
   \c:def\a:tabalgn{\ifx \EndPicture\:UnDef
                            \let\TabType\relax #1\fi}%
   \d:def\b:tabalgn{\ifx \EndPicture\:UnDef #2\fi}%
   \d:def\c:tabalgn{\ifx \EndPicture\:UnDef \gt:tab #3\fi}%
   \d:def\d:tabalgn{\ifx \EndPicture\:UnDef #4\fi}\E:tabalign}
\c:def\a:tabalgn{}
\d:def\b:tabalgn{}
\d:def\c:tabalgn{}
\d:def\d:tabalgn{}
\def\pic:MkHalign#1{%
  \csname a:#1\endcsname
  \ifx \EndPicture\:Undef
     \expandafter\expandafter\csname reg:#1\endcsname
  \else
     \vtop\bgroup$$
     \expandafter\def\csname #1\endcsname{\bgroup
         \expandafter\def\csname end#1\endcsname{\csname
              o:#1:\endcsname\egroup}%
         \csname o:#1:\endcsname}%
      \expandafter\def\csname end#1\endcsname{\csname
          o:end#1:\endcsname$$\egroup
         \csname b:#1\endcsname}\expandafter
                               \expandafter\csname o:#1:\endcsname
  \fi}
\def\SaveMkHalignConf:g#1{\SaveMkHalignConfig
   \edef\:temp{\noexpand\Configure{MkHalign} {} {}
     {\expandafter\noexpand\csname c:#1\endcsname}
     {\expandafter\noexpand\csname d:#1\endcsname }
     {\expandafter\noexpand\csname e:#1\endcsname
        \noexpand\RecallMkHalignConfig}
     {\expandafter\noexpand\csname f:#1\endcsname }}\:temp}
\tmp:cnt\time  \divide\tmp:cnt  60
\edef\:temp{\the\tmp:cnt}
\multiply\tmp:cnt  -60 \advance\tmp:cnt  \time
\edef\:today{\the\year-\ifnum \month<10 0\fi
  \the\month-\ifnum \day<10 0\fi\the\day
   \space\ifnum \:temp<10 0\fi \:temp
   :\ifnum \tmp:cnt<10 0\fi\the\tmp:cnt :00}


\let\sp:c\space \def\ {\relax\ifx \EndPicture\:UnDef \a:sp
             \else \sp:c\fi}
\NewConfigure{ }[1]{\def\:temp{#1}%
   \ifx \:temp\empty \let\a:sp\sp:c\else\def\a:sp{#1}\fi}
\Configure{ }{\:nbsp}
%
\def\:nbsp{\ifx\EndPicture\:UnDef\leavevmode\ht:special{t4ht@+\string&{35}x00A0{59}}\a:HChar\else\leavevmode\nobreak\ \fi}
\def\:ensp{\leavevmode\ht:special{t4ht@+\string&{35}x2002{59}}\a:HChar}
\expandafter\let\csname  beginsection\endcsname\relax
\NewSection\beginsection{}{}
\let\begin:section\beginsection
\expand:after{\csname outer\endcsname\def}\csname
     beginsection\endcsname#1\par{\smallskip
  \message{#1}\begin:section{#1}\smallskip\noindent}
\edef\:temp{\let\noexpand\o:proclaim:\expandafter\noexpand
   \csname proclaim\endcsname}\:temp
\expandafter\def\csname proclaim\endcsname#1. #2\par{\medbreak
  \a:proclaim\noindent{\bf#1.\enspace}\b:proclaim
  {\sl#2\par}\c:proclaim\medskip}
\NewConfigure{proclaim}{3}


\def\:temp#1{\a:bordermatrix\o:bordermatrix:{#1}\b:bordermatrix}
\HLet\bordermatrix\:temp
\NewConfigure{bordermatrix}{2}

\def\tx:halign#1#2{\csname a:#1\endcsname
   \csname  \ifx \EndPicture\:Undef reg:#1\else o:#1:\fi
   \endcsname{#2}\csname b:#1\endcsname}
\def\:tempc#1{\tx:halign{displaylines}{#1}}
\HLet\displaylines\:tempc
                                    \catcode`\#13 \catcode`\!6
\def\reg:displaylines!1{\tabskip\z@skip
   \SaveMkHalignConf:g{displaylines}\RecallTeXcr
   \MkHalign#{\hbox{$\@lign\displaystyle#$}}!1\crcr
   \EndMkHalign\RecallMkHalignConfig}
                                    \catcode`\#=6 \catcode`\!=12
\NewConfigure{displaylines}{4}


\MathSymbol\mathop{l}
\MathSymbol\mathop{longleftarrow}
\MathSymbol\mathop{longrightarrow}
\MathSymbol\mathop{L}
\MathSymbol\mathrel{buildrelover}

 \def\:tempc{\relax\csname a:,\endcsname}
\HLet\,=\:tempc
\NewConfigure{,}{1}
\NewConfigure{;}{1}
\NewConfigure{!}{1}
\NewConfigure{:}{1}
\NewConfigure{>}{1}
\Configure{,}{\relax \ifmmode \mskip \thinmuskip \else \thinspace \fi}
\def\:temp{\csname a:'\endcsname
   \bgroup \aftergroup\:pr@m@s
\prim@s}
{\catcode`\'=\active \HLet'=\:temp \global\let'=`}
\let\:tempc\prim@s
\pend:def\:tempc{\csname c:'\endcsname\:gobble}
\HLet\prim@s\:tempc
\NewConfigure{'}{3}
\Configure{'}{}{}{\prime}

\def\:temp#1{{\a:sqrt{\radical"270370 {#1}}\b:sqrt}}
\HLet\sqrt\:temp
\NewConfigure{sqrt}{2}
\def\:tempc#1{\a:overrightarrow
   \o:overrightarrow:{#1}\b:overrightarrow}
\HLet\overrightarrow\:tempc
\NewConfigure{overrightarrow}{2}
\def\:tempc#1{\a:overleftarrow
   \o:overleftarrow:{#1}\b:overleftarrow}
\HLet\overleftarrow\:tempc
\NewConfigure{overleftarrow}{2}
\def\:temp#1{\relax \ifvmode\leavevmode\fi
   \a:underline\hbox{$#1$}\b:underline}
\HLet\underline\:temp
\NewConfigure{underline}{2}

\def\:tempc#1{\tx:halign{eqalign}{#1}}
\HLet\eqalign\:tempc
                                 \catcode`\#13 \catcode`\!6
\def\reg:eqalign!1{\null\vcenter{\m@th
  \Mk:ialign:egroup
  {$\displaystyle{#}$&$\displaystyle{{}#}$%
}{eqalign}{!1}#{}}}
                                 \catcode`\#=6 \catcode`\!=12
\NewConfigure{eqalign}{6}
\def\Mk:ialign:egroup#1#2#3#4#5{%
%    \csname a:#2\endcsname
     \ifx \EndPicture\:UnDef
        \SaveMkHalignConfig
\Configure{MkHalign}
  {} {}
  {\csname c:#2\endcsname} {\csname d:#2\endcsname }
  {\csname e:#2\endcsname}
  {\csname f:#2\endcsname }%
#5\RecallTeXcr
        \MkHalign#4{#1}#3\crcr\EndMkHalign
        \RecallMkHalignConfig
     \else
        \csname o:#2:\endcsname{#3}%
     \fi
%   \csname b:#2\endcsname
}
\def\:tempc#1{\tx:halign{eqalignno}{#1}}
\HLet\eqalignno\:tempc
                                 \catcode`\#13 \catcode`\!6
\def\reg:eqalignno!1{\Mk:ialign:egroup
   {$\@lign\displaystyle{#}$%
&$\@lign\displaystyle{{}#}$%
&\hbox{$\@lign#$}%
}{eqalignno}{!1}#{}}
                                 \catcode`\#=6 \catcode`\!=12
\NewConfigure{eqalignno}{6}
\def\:eqalignno:{\Configure{noalign}{}{}}
\def\:tempc#1{\tx:halign{leqalignno}{#1}}
\HLet\leqalignno\:tempc
                                 \catcode`\#13 \catcode`\!6
\def\reg:leqalignno!1{\Mk:ialign:egroup
  {$\@lign\displaystyle{#}$%
&$\@lign\displaystyle{{}#}$%
&\hbox{$\@lign#$}%
}{leqalignno}{!1}#{}}
                                 \catcode`\#=6 \catcode`\!=12
\NewConfigure{leqalignno}{6}

\def\bigl#1{\mathopen{\big{#1}}}
\def\bigm#1{\mathrel{\big{#1}}}
\def\bigr#1{\mathclose{\big{#1}}}
\def\Bigl#1{\mathopen{\Big{#1}}}
\def\Bigm#1{\mathrel{\Big{#1}}}
\def\Bigr#1{\mathclose{\Big{#1}}}
\def\biggl#1{\mathopen{\bigg{#1}}}
\def\biggm#1{\mathrel{\bigg{#1}}}
\def\biggr#1{\mathclose{\bigg{#1}}}
\def\Biggl#1{\mathopen{\Bigg{#1}}}
\def\Biggm#1{\mathrel{\Bigg{#1}}}
\def\Biggr#1{\mathclose{\Bigg{#1}}}
\def\:tempc{\a:quad}   \HLet\quad\:tempc
\def\:tempc{\a:qquad}  \HLet\qquad\:tempc
\NewConfigure{quad}{1}        \Configure{quad}{\o:quad:}
\NewConfigure{qquad}{1}       \Configure{qquad}{\o:qquad:}
\def\atop:choose#1#2#3{\a:choose}
\def\:temp{%
   \expandafter \ifx\csname a:choose\endcsname\relax \else
   \ifx\a:choose\empty \else
      \Configure{atopwithdelims}{\atop:choose}{}%
   \fi\fi
   \o:choose:}
\HLet\choose=\:temp
\NewConfigure{choose}{1}
\def\:temp#1#2{\a:mthpl\o:mathpalette:{#1}{#2}\b:mthpl}
\HLet\mathpalette\:temp
\NewConfigure{mathpalette}[2]{\c:def\a:mthpl{#1}\c:def\b:mthpl{#2}}
\Configure{mathpalette}{}{}
\def\:temp{\relax
  \ifmmode \expandafter\o:mathpalette:\expandafter\mathph@nt
  \else  \expandafter\makeph@nt  \fi}
\HLet\ph@nt\:temp
\def\:temp{\relax
  \ifmmode  \expandafter\o:mathpalette:\expandafter\mathsm@sh
  \else     \expandafter\makesm@sh  \fi}
\HLet\smash\:temp

\def\:temp #1\of #2{%
    {\a:root #1\b:root#2\c:root}}
\HLet\root\:temp
\NewConfigure{root}{3}
\NewConfigure{cases}[8]{\c:def\a:cases{#1}\c:def\b:cases{#2}%
    \c:def\c:cases{#5}\c:def\d:cases{#6}\c:def\e:cases{#7}%
    \c:def\f:cases{#8}\c:def\g:cases{#3}\c:def\h:cases{#4}}
\Configure{cases}{}{}{}{}{}{}{}{}
\def\:tempc#1{\tx:halign{cases}{#1}}
\HLet\cases\:tempc
                                    \catcode`\#13 \catcode`\!6
\def\reg:cases!1{\left\{\vcenter{\normalbaselines\m@th  \g:cases
   \SaveMkHalignConf:g{cases}\RecallTeXcr
   \MkHalign#{$#$&{#}}!1\crcr
   \EndMkHalign\RecallMkHalignConfig   \h:cases}\right.}
                                    \catcode`\#=6 \catcode`\!=12
\def\:tempc#1{\tx:halign{matrix}{#1}}
\HLet\matrix\:tempc
                                    \catcode`\#13 \catcode`\!6
\def\reg:matrix!1{\null\,\vcenter{\normalbaselines\m@th
   \SaveMkHalignConf:g{matrix}\RecallTeXcr
   \MkHalign#{$#$&&$#$}!1\crcr
   \EndMkHalign\RecallMkHalignConfig}}
                                    \catcode`\#=6 \catcode`\!=12
\NewConfigure{matrix}{6}
\:CheckOption{no-pmatrix} \if:Option \else
   \def\:temp#1{\a:pmatrix\o:pmatrix:{#1}\b:pmatrix}
\HLet\pmatrix\:temp
\NewConfigure{pmatrix}{2}

\fi
\def\:temp#1{\relax\ifvmode\leavevmode\fi
   \a:overline\hbox{${\HCode{}}#1$}\b:overline}
\HLet\overline\:temp
\NewConfigure{overline}{2}

\footline={\hfil}   \headline={\hfil}

\:CheckOption{plain-} \if:Option \else
   \Log:Note{for reduced implementation,
       use the command line option `plain-'}
   \def\textindent#1{\indent \ifx \EndPicture\:UnDef \expandafter\hbox
   \else\expandafter\llap\fi {{#1\enspace}}\ignorespaces}
\def\:temp#1{\:ilist \let\:ilist\empty
   \def\EnditemList{\end:ilist \let\EnditemList\empty}%
   \a:item {#1}\b:item}
\HLet\item\:temp
\long\def\c:item:#1#2#3#4{
   \let\EnditemList\empty
   \c:def\:ilist{#1}
   \c:def\end:ilist{#2\c:def\:iilist{#1}}
   \c:def\a:item{#3}
   \c:def\b:item{#4}}
\pend:def\line{\ifx \EndPicture\:UnDef \hbox{\ht:everypar{}\a:line}\fi}
\pend:def\narrower{\ifx \EndPicture\:UnDef
    \aftergroup\b:narrower \a:narrower \fi}

   \def\:temp#1{\:iilist \let\:iilist\empty
   \def\EnditemitemList{\end:iilist \let\EnditemitemList\empty}%
   \a:iitem {#1}\b:iitem}
\HLet\itemitem\:temp
\long\def\c:itemitem:#1#2#3#4{
   \let\EnditemitemList\empty
   \c:def\:iilist{#1}%
   \c:def\end:iilist{#2\c:def\:iilist{#1}}
   \c:def\a:iitem{#3}
   \c:def\b:iitem{#4}}

\fi
             
\Hinput{plain}
\endinput

