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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% amsmath.4ht 2005-10-23-04:19 %
+% Copyright (C) 1997--2005 Eitan M. Gurari %
+% %
+% This work may be distributed and/or modified under the %
+% conditions of the LaTeX Project Public License, either %
+% version 1.3 of this license or (at your option) any %
+% later version. The latest version of this license is %
+% in %
+% http://www.latex-project.org/lppl.txt %
+% and version 1.3 or later is part of all distributions %
+% of LaTeX version 2003/12/01 or later. %
+% %
+% This work has the LPPL maintenance status "maintained".%
+% %
+% This Current Maintainer of this work %
+% is Eitan M. Gurari. %
+% %
+% If you modify this program your changing its signature %
+% with a directive of the following form will be %
+% appreciated. %
+% \message{signature} %
+% %
+% gurari@cse.ohio-state.edu %
+% http://www.cse.ohio-state.edu/~gurari %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\immediate\write-1{version 2005-10-23-04:19}
+
+\HRestore\cases
+\HRestore\matrix
+\HRestore\pmatrix
+\append:def\a:display{\@displaytrue}
+\expandafter\append:defIII\csname
+ c:$$:\endcsname{\append:def\a:display{\@displaytrue}}
+
+
+
+\expandafter\ifx \csname tmp:muskip\endcsname\relax
+ \csname newmuskip\endcsname \tmp:muskip
+\fi
+\expandafter\def\csname :tempc\endcsname#1#2#3{%
+ \ifmmode
+ \bgroup
+ \tmp:muskip #1#2\edef\mathglue{\the\tmp:muskip}%
+ \tmp:dim #1#3\edef\textspace{\the\tmp:dim}\a:tmspace
+ \egroup
+ \else \kern #1#3\fi \relax
+}
+\HLet\tmspace=\:tempc
+\NewConfigure{tmspace}{1}
+\Configure{tmspace}{\mskip\mathglue}
+\HRestore\over
+\def\:tempc{\pic:gobble\a:over \o:@@over: \pic:gobble\b:over}
+\HLet\@@over\:tempc
+\HRestore\atop
+\def\:tempc{\pic:gobble\a:atop \o:@@atop: \pic:gobble\b:atop}
+\HLet\@@atop\:tempc
+\def\::above{\pic:gobble\a:above \o:@@above:\tmp:dim
+ \pic:gobble\b:above }
+\def\:above{\afterassignment\::above}
+\def\:tempc{\Protect\:above \tmp:dim=}
+\HLet\@@above\:tempc
+\HRestore\abovewithdelims
+\def\::abovewithdelims#1#2{\pic:gobble\a:abovewithdelims
+ \o:@@abovewithdelims:#1#2\tmp:dim\pic:gobble\b:abovewithdelims}
+\def\:abovewithdelims#1#2{\def\:temp{\::abovewithdelims#1#2}%
+ \afterassignment\:temp\tmp:dim}
+\def\:tempc{\Protect\:abovewithdelims }
+\HLet\@@abovewithdelims\:tempc
+\NewConfigure{abovewithdelims}{2}
+\HRestore\overwithdelims
+\def\:overwithdelims#1#2{\pic:gobble\a:overwithdelims
+ \o:@@overwithdelims:#1#2\pic:gobble\b:overwithdelims}
+\def\:tempc{\Protect\:overwithdelims}
+\HLet\@@overwithdelims\:tempc
+\NewConfigure{overwithdelims}{2}
+\HRestore\atopwithdelims
+\def\:atopwithdelims#1#2{\pic:gobble\a:atopwithdelims
+ \o:@@atopwithdelims:#1#2\pic:gobble\b:atopwithdelims}
+\def\:tempc{\Protect\:atopwithdelims}
+\HLet\@@atopwithdelims\:tempc
+\NewConfigure{atopwithdelims}{2}
+\let\ltx@label\lb:l
+\let\Mathaccent:\mathaccent@
+\def\mathaccent@#1#2{\ifx \EndPicture\:UnDef
+ \DN@{\Picture+{}\Mathaccent:{#1}{#2}\EndPicture}%
+ \else\DN@{\Mathaccent:{#1}{#2}}\fi\next@}
+\def\:tempc#1#2#3{\a:underarrow@
+ \hbox{$\m@th#2#3$}\b:underarrow@
+ \hbox{#1#2}\c:underarrow@
+}
+\HLet\underarrow@\:tempc
+\def\:tempc#1#2#3{\a:overarrow@
+ \hbox{#1#2}\b:overarrow@
+ \hbox{$\m@th#2#3$}\c:overarrow@
+}
+\HLet\overarrow@\:tempc
+\NewConfigure{underarrow@}{3}
+\NewConfigure{overarrow@}{3}
+\def\:temp#1#2{\a:overset\binrel@{#2}%
+ \binrel@@{\mathop{\kern\z@#2}\limits^{#1}}\b:overset}
+\HLet\overset\:temp
+\NewConfigure{overset}{2}
+\def\:temp#1#2{\a:underset\binrel@{#2}%
+ \binrel@@{\mathop{\kern\z@#2}\limits_{#1}}\b:underset}
+\HLet\underset\:temp
+\NewConfigure{underset}{2}
+
+\MathSymbol\mathop{dotsc}
+\MathSymbol\mathop{dotso}
+\MathSymbol\mathrel{longleftarrow}
+\MathSymbol\mathrel{longrightarrow}
+
+\def\:temp#1{{\a:boxed\leavevmode
+ \vbox{\m@th$\displaystyle#1$}\b:boxed}}
+\HLet\boxed\:temp
+\NewConfigure{boxed}{2}
+\def\:temp#1#2{\a:xrightarrow \o:xrightarrow:{#1}\b:xrightarrow}
+\HLet\xrightarrow\:temp
+\NewConfigure{xrightarrow}{2}
+\def\:temp#1#2{\a:xleftarrow \o:xleftarrow:{#1}\b:xleftarrow}
+\HLet\xleftarrow\:temp
+\NewConfigure{xleftarrow}{2}
+
+\def\equation{\bgroup \@fleqnfalse
+%
+ \ifx \EndPicture\:Undef
+ \def\endequation{%
+ \let\tagform@=\:gobble
+ \if@eqnsw \expand:after{%
+ %
+ \o:endequation:\b:equation\equ:no}%
+ \else \expand:after{%
+ \ifx\df@tag\@empty \expand:after{\o:endequation:\egroup}%
+ \else
+ \global\let\df:tag=\df@tag
+ \expand:after{\o:endequation: \expandafter\b:equation\df:tag
+ }\fi
+ }\fi
+ \c:equation\egroup
+ }%
+ \expandafter\a:equation
+ \else
+ \def\endequation{\o:endequation:\egroup}%
+ \fi
+ \o:equation:}
+\expandafter\def\csname genfrac \endcsname#1#2#3#4{%
+ \def\@tempa{#1#2}%
+ \edef\@tempb{\@nx\@genfrac\@mathstyle{#4}%
+ \expandafter\noexpand\csname @@\ifx @#3@over\else above\fi
+ \ifx\@tempa\@empty \else withdelims\fi\endcsname}%
+ \@tempb{#1#2#3}}
+\def\:tempc#1#2#3#4#5{{\a:genfrac#1\b:genfrac{\c:genfrac#4#2#3\relax
+ {\d:genfrac#5\e:genfrac}}\f:genfrac}}
+\HLet\@genfrac\:tempc
+\NewConfigure{genfrac}{6}
+\HRestore\frac
+\def\:temp#1#2{{\a:frac\begingroup
+ #1\endgroup\b:frac \@@over \c:frac #2\d:frac}}
+\expandafter\HLet\csname frac \endcsname\:temp
+\def\math@cr@@[#1]{\ifnum0=`{\fi \iffalse}\fi\math@cr@@@
+ \o:noalign:{\vskip#1\relax}}
+ \catcode`\#13 \catcode`\!6
+\def\reg:align!1!2{%
+ \ifx \ifinany@\:Undef\else \inany@true\fi
+ \inalign@true \ifx \displaybreak@\:UnDef
+ \chardef\dspbrk@context\z@
+\else
+ \displaybreak@
+\fi
+\intertext@
+ \ifingather@\else\displ@y@\fi\Let@ \let\math@cr@@@\math@cr@@@align
+ \ifxxat@\else \let\tag\tag@in@align \fi
+ \let\label\label@in@display !1% set st@r
+ \ifst@rred\else \global\@eqnswtrue \fi \measure@{!2}%
+ \global\row@\z@ \tabskip\eqnshift@
+ \Configure{PauseMkHalign}
+ {\Configure{PauseMkHalign}{}{}{}{}\expandafter\clean:span}{}{}{}%
+%
+ \SaveMkHalignConf:g{\align:type}\HRestore\noalign
+\MkHalign#{\span
+ &\@lign$\m@th\displaystyle{{\HCode{}}%
+#}$%
+ &\@lign$\m@th\displaystyle{{\HCode{}}%
+#}$%
+}!2%
+}
+ \catcode`\#=6 \catcode`\!=12
+\def\clean:span#1\c:halign{\TeXhalign \bgroup \:span}
+\ifx \ifinany@\:Undef
+ \def\:tempc{%
+ \math@cr
+ \EndMkHalign \RecallMkHalignConfig \csname b:\align:type\endcsname
+ \ifingather@ \restorealignstate@ \egroup \nonumber
+ \ifnum0=`{\fi\iffalse}\fi%
+ \else $$\fi
+ \global\@ignoretrue
+}
+
+\else
+ \def\:tempc{%
+ \math@cr
+ \EndMkHalign \RecallMkHalignConfig \csname b:\align:type\endcsname
+ \ifingather@ \restorealignstate@ \egroup \nonumber
+ \ifnum0=`{\fi}%
+ \else $$\fi
+ \global\@ignoretrue
+}
+
+\fi
+\HLet\endalign\:tempc
+\def\:tempc{\pic:MkHalign{\align:type}}
+\HLet\align@\:tempc
+\def\Config:alg#1#2#3#4#5#6#7{%
+ \expandafter\c:def\csname a:#7\endcsname{\global
+ \let\sv:amps\add:amps #1}%
+ \expandafter\c:def\csname b:#7\endcsname{#2\global
+ \let\add:amps\sv:amps}%
+ \expandafter\c:def\csname c:#7\endcsname{#3}%
+ \expandafter\c:def\csname d:#7\endcsname{#4}%
+ \expandafter\c:def\csname e:#7\endcsname{\expandafter\align:td
+ \expandafter{\csname f:#7\endcsname}{#5}{#6}}%
+}
+\def\align:td#1#2#3{\iftag@
+ \ifnum \add:amps>0
+ \gHAdvance\add:amps -1 \gHAdvance\HCol -1
+ \global\let#1\empty
+ \ifnum \add:amps=0 \gHAdvance\HCol1 #2\gdef#1{#3}\fi
+ \else #2\gdef#1{#3}\fi
+ \else \gHAssign\add:amps\HCol\relax #2\gdef#1{#3}\fi}%
+
+\def\:tempc#1{%
+ \expandafter\pend:def\csname #1\endcsname{\def\align:type{#1}}%
+ \NewConfigure{#1}[6]{\Config:alg{##1}{##2}{##3}{##4}{##5}{##6}{#1}}%
+ \Configure{#1}{}{}{}{}{}{}%
+ \def\:temp{#1}\def\:tempa{align}\ifx \:temp\:tempa\else
+ \@xp\let\csname reg:#1\endcsname\reg:align
+ \@xp\let\csname end#1\endcsname\endalign
+ \fi }
+\:tempc{alignat}
+\:tempc{alignat*}
+\:tempc{xalignat}
+\:tempc{xalignat*}
+\:tempc{xxalignat}
+\:tempc{align}
+\:tempc{align*}
+\:tempc{flalign}
+\:tempc{flalign*}
+\pend:defIII\start@align{\Configure{$$}{}{}{}}
+ \catcode`\#13 \catcode`\!6
+\def\reg:multline!1{%
+ \ifx \ifinany@\:Undef\else \inany@true\fi
+ \Let@
+ \@display@init{\global\advance\row@\@ne \global\dspbrk@lvl\m@ne}%
+ \ifx \displaybreak@\:UnDef
+ \chardef\dspbrk@context\z@
+\else
+ \displaybreak@
+\fi
+ \restore@math@cr \let\tag\tag@in@align
+ \global\tag@false \global\let\raise@tag\@empty
+ \let\tag\gobble@tag \ifst@rred \let\label\@gobble \else
+ \stepcounter{equation}%
+ \def\label{\let\cnt:currentlabel\@currentlabel
+ \def\:@currentlabel{\ifx \cnt:currentlabel\@currentlabel
+ \the\c@equation\else \@currentlabel\fi}%
+ \anc:lbl r{equation}\ltx@label}%
+ \edef\@currentlabel{\the\c@equation}%
+\fi
+%
+ \ifst@rred
+ \expandafter\let\csname e:multline*\endcsname\empty
+ \expandafter\let\csname f:multline*\endcsname\empty
+\fi
+\SaveMkHalignConf:g{multline\ifst@rred *\fi}\HRestore\noalign
+\MkHalign#{\hbox{$\m@th\displaystyle{\HCode{}}%
+#$}}!1%
+}
+ \catcode`\#=6 \catcode`\!=12
+\def\:tempc{\ifst@rred\else
+ \e:multline(\theequation)\f:multline
+\fi
+\math@cr \EndMkHalign
+ \RecallMkHalignConfig \csname b:multline\ifst@rred *\fi\endcsname
+ $$\global\@ignoretrue }
+\HLet\endmultline\:tempc
+\def\:tempc{\pic:MkHalign{multline\ifst@rred *\fi}}
+\HLet\multline@\:tempc
+\NewConfigure{multline}{6}
+\@xp\let\csname reg:multline*\endcsname\reg:multline
+\@xp\let\csname endmultline*\endcsname\endmultline
+\NewConfigure{multline*}{4}
+ \catcode`\#13 \catcode`\!6
+\def\reg:gather!1{%
+ \ingather@true \ifx \ifinany@\:Undef
+ \let\split\insplit@ \chardef\dspbrk@context\z@
+\else
+ \inany@true
+\fi
+%
+ \let\tag\tag@in@align \let\label\label@in@display
+ \intertext@ \displ@y@
+ \Let@ \let\math@cr@@@\math@cr@@@gather
+ \global\shifttag@false \global\row@\@ne
+ \SaveMkHalignConf:g{gather\ifst@rred *\fi}\HRestore\noalign
+\MkHalign#{\hbox{$\m@th\displaystyle{{\HCode{}}%
+#}$}%
+&\hbox{{\HCode{}}%
+#}%
+}!1%
+}
+ \catcode`\#=6 \catcode`\!=12
+\def\:tempc{\math@cr \EndMkHalign
+ \RecallMkHalignConfig \csname b:gather\ifst@rred *\fi\endcsname
+ $$\global\@ignoretrue }
+\HLet\endgather\:tempc
+\def\:tempc{\pic:MkHalign{gather\ifst@rred *\fi}}
+\HLet\gather@\:tempc
+\NewConfigure{gather}{6}
+\@xp\let\csname reg:gather*\endcsname\reg:gather
+\@xp\let\csname endgather*\endcsname\endgather
+\NewConfigure{gather*}{6}
+\def\:tempc{%
+ \def\intertext##1{%
+ \ifvmode\else\\\@empty\fi
+ \noalign{%
+ \penalty\postdisplaypenalty\vskip\belowdisplayskip
+ \vbox{\normalbaselines
+ \ifdim\linewidth=\columnwidth
+ \else \parshape\@ne \@totalleftmargin \linewidth
+ \fi
+ \a:intertext \noindent##1\b:intertext\par}%
+ \penalty\predisplaypenalty\vskip\abovedisplayskip%
+ }%
+}}
+\HLet\intertext@=\:tempc
+\NewConfigure{intertext}{2}
+\HLet\leftroot\:gobble
+\HLet\uproot\:gobble
+ \catcode`\#13 \catcode`\!6
+\def\reg:smallmatrix{%
+ \vcenter\bgroup \Let@\restore@math@cr\default@tag
+ \SaveMkHalignConf:g{smallmatrix}%
+\MkHalign#{$\m@th\scriptstyle#$&&%
+ $\m@th\scriptstyle#$}%
+}
+ \catcode`\#=6 \catcode`\!=12
+\def\:tempc{\crcr\EndMkHalign
+ \RecallMkHalignConfig \egroup\b:smallmatrix}
+\HLet\endsmallmatrix\:tempc
+\def\:temp{\pic:MkHalign{smallmatrix}}
+\HLet\smallmatrix\:temp
+\NewConfigure{smallmatrix}{6}
+\pend:defI\substack{\a:substack}
+\append:defI\substack{\b:substack}
+\NewConfigure{substack}{2}
+ \catcode`\#13 \catcode`\!6
+\def\reg:subarray!1{%
+ \vcenter\bgroup
+ \Let@ \restore@math@cr \default@tag
+ \baselineskip\fontdimen10 \scriptfont\tw@
+ \advance\baselineskip\fontdimen12 \scriptfont\tw@
+ \lineskip\thr@@\fontdimen8 \scriptfont\thr@@
+ \let\e:subarray\empty \let\f:subarray\empty
+\everycr{}\SaveMkHalignConf:g{subarray}%
+\MkHalign#{$\m@th\scriptstyle#$}%
+}
+ \catcode`\#=6 \catcode`\!=12
+\def\:tempc{\crcr\EndMkHalign
+ \RecallMkHalignConfig \egroup\b:subarray}
+\HLet\endsubarray\:tempc
+\def\:temp#1{\def\Hlcr{#1}\pic:MkHalign{subarray}{#1}}
+\HLet\subarray\:temp
+\NewConfigure{subarray}{4}
+\NewConfigure{split}{6}
+ \catcode`\#13 \catcode`\!6
+\def\:tempc{%
+ \vbox\bgroup
+ \ifx \ifinany@\:Undef
+ \chardef\dspbrk@context\@ne
+\fi
+%
+ \Let@ \restore@math@cr \default@tag \everycr{}\a:split
+ \SaveMkHalignConf:g{split}\HRestore\noalign
+ \MkHalign#{ $\m@th\displaystyle{{\HCode{}}%
+#}$%
+&$\m@th\displaystyle{{\HCode{}}%
+#}$%
+}}
+\HLet\insplit@\:tempc
+ \catcode`\#6 \catcode`\!12
+\def\:tempc{%
+ \crcr\EndMkHalign \b:split \egroup }
+\HLet\endsplit\:tempc
+\Configure{@begin}
+ {split}
+ {\relax
+ \ifx \split\insplit@ \else
+ \def\choose:begin{\global\let\choose:begin\@firstoftwo
+ \@secondoftwo}%
+ \fi
+ }
+\NewConfigure{equations}[2]{\def\pic:equa{#1}\def\pic:equb{#2}}
+\def\str:pic{\ifx \EndPicture\:UnDef
+ \expandafter\Picture\pic:equa{ \pic:equb}%
+ \else \let\EndPicture\empty \fi
+ \let\halign\TeXhalign}
+\def\make@df@tag@@#1{%
+ \gdef\df@tag{\maketag@@@{#1}\def\@currentlabel{#1}%
+ \let\cnt:currentlabel\@currentlabel
+\def\:@currentlabel{\ifx \cnt:currentlabel\@currentlabel
+ \expandafter\the\csname c@equation\endcsname\else \@currentlabel\fi}%
+%
+ \anc:lbl r{}%
+}}
+\def\make@df@tag@@@#1{\gdef\df@tag{\tagform@{#1}%
+ \toks@\@xp{\p@equation{#1}}\edef\@currentlabel{\the\toks@}%
+ \let\cnt:currentlabel\@currentlabel
+\def\:@currentlabel{\ifx \cnt:currentlabel\@currentlabel
+ \expandafter\the\csname c@equation\endcsname\else \@currentlabel\fi}%
+%
+ \anc:lbl r{}%
+ }}
+
+\:CheckOption{new-accents} \if:Option \else
+ \HLet\Hat\hat
+\HLet\Check\check
+\HLet\Tilde\tilde
+\HLet\Acute\acute
+\HLet\Grave\grave
+\HLet\Dot\dot
+\HLet\Ddot\ddot
+\HLet\Breve\breve
+\HLet\Bar\bar
+\HLet\Vec\vec
+
+\fi
+\let\:tempc\measure@
+\pend:defI\:tempc{\bgroup
+ \RecallTeXcr \HRestore\noalign \let\EndPicture\empty
+ \let\halign\TeXhalign \let\span\:span \HRestore\begin
+ \HRestore\end \a:measure@ }
+\append:defI\:tempc{\egroup}
+\HLet\measure@\:tempc
+\NewConfigure{measure@}{1}
+\HLet\savealignstate@\empty
+\renewcommand{\n:smash:}[2][tb]{%
+ \def\smash@{#1}%
+ \ifmmode\@xp\o:mathpalette:\@xp\mathsm@sh\else
+ \@xp\makesm@sh\fi{#2}}
+\let\:tempc\maketag@@@
+\pend:defI\:tempc{\a:maketag}
+\append:defI\:tempc{\b:maketag}
+\NewConfigure{maketag}{2}
+\HLet\maketag@@@\:tempc
+\MathSymbol\mathrel{@cdots}
+\MathSymbol\mathop{doteq}
+ \def\n:doteq:{\expandafter\:same \math:sym\mathop{doteq}\nolimits}
+\HLet\dotsb@=\@cdots
+\HLet\intdots@=\@cdots
+\HRestore\cdots
+\MathSymbol\mathop{iint}
+ \def\n:iint:{\expandafter\:same \math:sym\mathop{iint}\nolimits}
+\MathSymbol\mathop{iiint}
+ \def\n:iiint:{\expandafter\:same \math:sym\mathop{iiint}\nolimits}
+\MathSymbol\mathop{iiiint}
+ \def\n:iiiint:{\expandafter\:same \math:sym\mathop{iiiint}\nolimits}
+\MathSymbol\mathop{idotsint}
+ \def\n:idotsint:{\expandafter\:same \math:sym\mathop{idotsint}\nolimits}
+\def\:tempc#1{\a:underrightarrow
+ \o:underrightarrow:{#1}\b:underrightarrow}
+\HLet\underrightarrow\:tempc
+\NewConfigure{underrightarrow}{2}
+\def\:tempc#1{\a:underleftarrow
+ \o:underleftarrow:{#1}\b:underleftarrow}
+\HLet\underleftarrow\:tempc
+\NewConfigure{underleftarrow}{2}
+\def\:tempc#1{\a:overleftrightarrow
+ \o:overleftrightarrow:{#1}\b:overleftrightarrow}
+\HLet\overleftrightarrow\:tempc
+\NewConfigure{overleftrightarrow}{2}
+\def\:tempc#1{\a:underleftrightarrow
+ \o:underleftrightarrow:{#1}\b:underleftrightarrow}
+\HLet\underleftrightarrow\:tempc
+\NewConfigure{underleftrightarrow}{2}
+
+\def\:tempc#1#2#3{\a:underarrow@
+ \hbox{$\m@th#2#3$}\b:underarrow@
+ \hbox{#1#2}\c:underarrow@
+}
+\HLet\underarrow@\:tempc
+\def\:tempc#1#2#3{\a:overarrow@
+ \hbox{#1#2}\b:overarrow@
+ \hbox{$\m@th#2#3$}\c:overarrow@
+}
+\HLet\overarrow@\:tempc
+\NewConfigure{underarrow@}{3}
+\NewConfigure{overarrow@}{3}
+\def\:temp#1#2{\a:overset\binrel@{#2}%
+ \binrel@@{\mathop{\kern\z@#2}\limits^{#1}}\b:overset}
+\HLet\overset\:temp
+\NewConfigure{overset}{2}
+\def\:temp#1#2{\a:underset\binrel@{#2}%
+ \binrel@@{\mathop{\kern\z@#2}\limits_{#1}}\b:underset}
+\HLet\underset\:temp
+\NewConfigure{underset}{2}
+
+\MathSymbol\mathop{dotsc}
+\MathSymbol\mathop{dotso}
+\MathSymbol\mathrel{longleftarrow}
+\MathSymbol\mathrel{longrightarrow}
+
+\ifx \ifinany@\:Undef
+ \let\:tempc\gather@split
+\append:defIII\:tempc{%
+ \def\endmathdisplay@a{%
+ \math@cr \EndMkHalign
+ \RecallMkHalignConfig \csname b:gather\ifst@rred *\fi\endcsname
+ \egroup
+ }%
+}
+\HLet\gather@split\:tempc
+
+\else
+ \:warning{ams files too old for TeX4ht}
+\fi
+\Hinput{amsmath}
+\endinput
+