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% siam12.sty 5 Feb 88, based on art12.sty 22 Dec 87
\lineskip 1pt \normallineskip 1pt
\def\baselinestretch{1}

\def\@normalsize{\@setsize\normalsize{15pt}\xiipt\@xiipt
\abovedisplayskip 12pt plus3pt minus7pt\belowdisplayskip \abovedisplayskip
\abovedisplayshortskip \abovedisplayskip
\belowdisplayshortskip \belowdisplayskip \let\@listi\@listI}
\def\small{\@setsize\small{13.6pt}\xipt\@xipt
\abovedisplayskip 11pt plus3pt minus6pt\belowdisplayskip \abovedisplayskip
\abovedisplayshortskip \abovedisplayskip\belowdisplayshortskip \belowdisplayskip
\def\@listi{\leftmargin\leftmargini \topsep \z@\parsep \z@
\itemsep \parsep}}
\def\footnotesize{\@setsize\footnotesize{12pt}\xpt\@xpt
\abovedisplayskip 10pt plus2pt minus5pt\belowdisplayskip \abovedisplayskip
\abovedisplayshortskip \abovedisplayskip\belowdisplayshortskip \belowdisplayskip
\def\@listi{\leftmargin\leftmargini \topsep \z@\parsep \z@
\itemsep \parsep}}
\def\scriptsize{\@setsize\scriptsize{9.5pt}\viiipt\@viiipt}
\def\tiny{\@setsize\tiny{7pt}\vipt\@vipt}
\def\large{\@setsize\large{18pt}\xivpt\@xivpt}
\def\Large{\@setsize\Large{22pt}\xviipt\@xviipt}
\def\LARGE{\@setsize\LARGE{25pt}\xxpt\@xxpt}
\def\huge{\@setsize\huge{30pt}\xxvpt\@xxvpt}
\let\Huge=\huge
\normalsize 

\voffset -.4in
\if@twoside \oddsidemargin .5in \evensidemargin -.15in
\else \oddsidemargin  .25in \evensidemargin .25in \fi
\marginparwidth 1in \marginparsep .25in
 \topmargin \z@ \headheight 12pt \headsep .24in \footskip .2in

\textheight 9in \textwidth 6.15in \columnsep 12pt \columnseprule 0pt 

\footnotesep 8pt 
\skip\footins 16pt plus 5pt minus 3pt 
\floatsep 14pt plus 4pt minus 4pt \textfloatsep 20pt plus 2pt minus 4pt
\intextsep 14pt plus 4pt minus 4pt \@maxsep 20pt \dblfloatsep 12pt plus 2pt
minus 2pt \dbltextfloatsep 20pt plus 2pt minus 4pt \@dblmaxsep 20pt 
\@fptop 0pt plus 1fil \@fpsep 8pt plus 2fil \@fpbot 0pt plus 1fil 
\@dblfptop 0pt plus 1fil \@dblfpsep 8pt plus 2fil \@dblfpbot 0pt plus 1fil
\marginparpush 5pt 

\parskip 0pt plus 1pt \parindent .3in \partopsep \z@
\@lowpenalty 51 \@medpenalty 151 \@highpenalty 301 
\@beginparpenalty -\@lowpenalty \@endparpenalty -\@lowpenalty \@itempenalty
-\@lowpenalty 


\def\part{\par \addvspace{4ex} \@afterindentfalse \secdef\@part\@spart} 
\def\@part[#1]#2{\ifnum \c@secnumdepth >\m@ne \refstepcounter{part}
\addcontentsline{toc}{part}{\thepart \hspace{1em}#1}\else
\addcontentsline{toc}{part}{#1}\fi { \parindent 0pt \raggedright 
 \ifnum \c@secnumdepth >\m@ne \bf Part \thepart \par \nobreak \fi
\bf #2\markboth{}{}\par } \nobreak \vskip 3ex \@afterheading } 
\def\@spart#1{{\parindent 0pt \raggedright 
 \bf 
 #1\par} \nobreak \vskip 3ex \@afterheading } 
\def\section{\@startsection {section}{1}{.3in}{1.6ex plus .6ex minus 
    .2ex}{-.5em plus -.1em}{\bf}}
\def\subsection{\@startsection {subsection}{2}{.3in}{1.6ex plus .6ex minus 
    .2ex}{-.5em plus -.1em}{\bf}}
\def\subsubsection{\@startsection {subsubsection}{3}{.3in}{1.6ex plus .6ex minus 
    .2ex}{-.5em plus -.1em}{\bf}}
\def\paragraph{\@startsection {paragraph}{4}{.3in}{1.6ex plus .6ex minus 
    .2ex}{-.5em plus -.1em}{\it}}
\def\subparagraph{\@startsection {subparagraph}{4}{.3in}{1.6ex plus .6ex minus 
    .2ex}{-.5em plus -.1em}{\it}}


\setcounter{secnumdepth}{3}

\def\appendix{\par
 \setcounter{section}{0}
 \setcounter{subsection}{0}
 \def\thesection{\Alph{section}}}


\leftmargini .6in
\leftmarginii 2.2em \leftmarginiii 1.87em \leftmarginiv 1.7em \leftmarginv 1em
\leftmarginvi 1em
\leftmargin\leftmargini
\labelsep .5em
\labelwidth\leftmargini\advance\labelwidth-\labelsep
\def\@listI{\leftmargin\leftmargini \parsep \z@ \topsep \z@ \itemsep \parsep}
\let\@listi\@listI
\@listi 
\def\@listii{\leftmargin\leftmarginii
 \labelwidth\leftmarginii\advance\labelwidth-\labelsep
 \topsep \z@
 \parsep \z@
 \itemsep \parsep}
\def\@listiii{\leftmargin\leftmarginiii
 \labelwidth\leftmarginiii\advance\labelwidth-\labelsep
 \topsep \z@
 \parsep \z@ \partopsep \z@
 \itemsep \topsep}
\def\@listiv{\leftmargin\leftmarginiv
 \labelwidth\leftmarginiv\advance\labelwidth-\labelsep}
\def\@listv{\leftmargin\leftmarginv
 \labelwidth\leftmarginv\advance\labelwidth-\labelsep}
\def\@listvi{\leftmargin\leftmarginvi
 \labelwidth\leftmarginvi\advance\labelwidth-\labelsep}