%%%%%%%%%%%%%%%%%%%%%%%%%%CUT HERE%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This is proc2e.sty.
% This file may be freely distributed but may not be altered in any way.
% Any comments or questions regarding these macros should be directed to:
% Corey Gray
% SIAM
% 3600 University City Science Center
% Philadelphia, PA 19104-2688
% USA
% Telephone: (215) 382-9800
% Fax: (215) 386-7999
% e-mail: gray@siam.org
% This is a file of macros and definitions for creating a chapter for
% publication in the SIAM Proceedings series using LaTeX2e.
% Report the version.
\message{*** SIAM LaTeX2e Proceedings Series macro package, version 1.1,
October 28, 1996 ***}
\pretolerance=800
\tolerance=10000
\sloppy
\vsize=56pc
\hsize=36pc
\baselineskip=13pt
\hoffset -.5in
\voffset -.5in
\footskip=18pt
\topmargin 24pt
\headheight 12pt
\headsep 15pt
\textheight 53.5pc \advance\textheight by \topskip
\textwidth 36pc
\parskip 0pt
\parindent 18pt
\def\topfraction{.9}
\def\textfraction{.1}
\def\topnumber{2}
%% footnotes to be set 8/10
\def\footnotesize{\@setsize\footnotesize{11pt}\ixpt\@ixpt
% \indent
\abovedisplayskip \z@
\belowdisplayskip\z@
\abovedisplayshortskip\abovedisplayskip
\belowdisplayshortskip\belowdisplayshortskip
\def\@listi{\leftmargin\leftmargini \topsep 3pt plus 1pt minus 1pt
\parsep 2pt plus 1pt minus 1pt
\itemsep \parsep}}
\let\referencesize\footnotesize
\footnotesep 0pt
\skip\footins 12pt plus 12pt
\def\footnoterule{\kern3\p@ \hrule width 3em\vspace{3pt}} % the \hrule is .4pt high
\def\ps@plain{\let\@mkboth\@gobbletwo
\def\@oddfoot{{\hfil\small\thepage\hfil}}%
\def\@oddhead{}
\def\@evenhead{}\def\@evenfoot{}}
\def\ps@headings{\let\@mkboth\markboth
\def\@oddfoot{}\def\@evenfoot{}%
\def\@evenhead{{\rm\thepage}\hspace*{2pc}{\sc\leftmark}\hfil}%
\def\@oddhead{\hfil{\noindent\sc\rightmark}\hspace*{2pc}{\rm\thepage}}%
\def\ps@myheadings{\let\@mkboth\@gobbletwo
\def\@oddfoot{}\def\@evenfoot{}%
\def\@oddhead{\hfil{\sc\rightmark}\hspace*{2pc}{\normalsize\rm\thepage}}%
\def\@evenhead{{\normalsize\rm\thepage}\hspace*{2pc}{\sc\leftmark}\hfil}%
% \def\chaptermark##1{}%
% \def\sectionmark##1{}\def\subsectionmark##1{}}
}}
\def\theequation{\arabic{equation}}
\def\abstract{\if@twocolumn
\section*{Abstract}
\else \small
\begin{center}
{\bf Abstract\vspace{-.5em}\vspace{3pt}}
\end{center}
\quotation
\fi}
\def\endabstract{\if@twocolumn\else\endquotation\fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% THEOREMS, PROOFS, ALGORITHMS %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% defined proof environment by theorem model (took out counter)
\def\qed{{\qquad \vbox{\hrule\hbox{%
\vrule height1.3ex\hskip0.8ex\vrule}\hrule
}}\par}
\def\newproof#1{\@nprf{#1}}
\def\@nprf#1#2{\@xnprf{#1}{#2}}
\def\@xnprf#1#2{\expandafter\@ifdefinable\csname #1\endcsname
\global\@namedef{#1}{\@prf{#1}{#2}}\global\@namedef{end#1}{\@endproof}}
\def\@prf#1#2{\@xprf{#1}{#2}}
\def\@xprf#1#2{\@beginproof{#2}{\csname the#1\endcsname}\ignorespaces}
%%% defined algorithm environment by theorem model
\def\newalgorithm#1{\@ifnextchar[{\@oalg{#1}}{\@nalg{#1}}}
\def\@nalg#1#2{%
\@ifnextchar[{\@xnalg{#1}{#2}}{\@ynalg{#1}{#2}}}
\def\@xnalg#1#2[#3]{\expandafter\@ifdefinable\csname #1\endcsname
{\@definecounter{#1}\@addtoreset{#1}{#3}%
\expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand
\csname the#3\endcsname \@thmcountersep \@thmcounter{#1}}%
\global\@namedef{#1}{\@alg{#1}{#2}}\global\@namedef{end#1}{\@endalgorithm}}}
\def\@ynalg#1#2{\expandafter\@ifdefinable\csname #1\endcsname
{\@definecounter{#1}%
\expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%
\global\@namedef{#1}{\@alg{#1}{#2}}\global\@namedef{end#1}{\@endalgorithm}}}
\def\@oalg#1[#2]#3{\expandafter\@ifdefinable\csname #1\endcsname
{\global\@namedef{the#1}{\@nameuse{the#2}}%
\global\@namedef{#1}{\@alg{#2}{#3}}%
\global\@namedef{end#1}{\@endalgorithm}}}
\def\@alg#1#2{\refstepcounter
{#1}\@ifnextchar[{\@yalg{#1}{#2}}{\@xalg{#1}{#2}}}
\def\@xalg#1#2{\@beginalgorithm{#2}{\csname the#1\endcsname}\ignorespaces}
\def\@yalg#1#2[#3]{\@opargbeginalgorithm{#2}{\csname
the#1\endcsname}{#3}\ignorespaces}
\def\@beginproof#1{\rm {\it #1.\ }}
\def\@endproof{\outerparskip 0pt\endtrivlist}
\def\@begintheorem#1#2{\it {\sc #1\ #2.\ }}
\def\@opargbegintheorem#1#2#3{\it
{\sc #1\ #2\ (#3).\ }}
\def\@endtheorem{\outerparskip 0pt\endtrivlist}
%\def\@begindefinition#1#2{\rm \trivlist \item[\hskip \labelsep{\sc #1\ #2.}]}
%\def\@opargbegindefinition#1#2#3{\rm \trivlist
% \item[\hskip \labelsep{\sc #1\ #2.\ (#3)}]}
%\def\@enddefinition{\outerparskip 0pt\endtrivlist}
\def\@beginalgorithm#1#2{\rm \trivlist \item[\hskip \labelsep{\sc #1\ #2.}]}
\def\@opargbeginalgorithm#1#2#3{\rm \trivlist
\item[\hskip \labelsep{\sc #1\ #2.\ (#3)}]}
\def\@endalgorithm{\outerparskip 6pt\endtrivlist}
\newskip\outerparskip
%\def\trivlist{\parsep\outerparskip
% \@trivlist \labelwidth\z@ \leftmargin\z@
% \itemindent\parindent \def\makelabel##1{##1}}
%
%\def\@trivlist{\topsep=0pt\@topsepadd\topsep
% \if@noskipsec \leavevmode \fi
% \ifvmode \advance\@topsepadd\partopsep \else \unskip\par\fi
% \if@inlabel \@noparitemtrue \@noparlisttrue
% \else \@noparlistfalse \@topsep\@topsepadd \fi
% \advance\@topsep \parskip
% \leftskip\z@\rightskip\@rightskip \parfillskip\@flushglue
% \@setpar{\if@newlist\else{\@@par}\fi}%
% \global\@newlisttrue \@outerparskip\parskip}
%
%
%\def\endtrivlist{\if@newlist\@noitemerr\fi
% \if@inlabel\indent\fi
% \ifhmode\unskip \par\fi
% \if@noparlist \else
% \ifdim\lastskip >\z@ \@tempskipa\lastskip \vskip -\lastskip
% \advance\@tempskipa\parskip \advance\@tempskipa -\@outerparskip
% \vskip\@tempskipa
% \fi\@endparenv\fi
% \vskip\outerparskip}
\newproof{@proof}{Proof}
\newenvironment{proof}{\begin{@proof}}{\end{@proof}}
\newtheorem{@theorem}{Theorem}[section]
\newenvironment{theorem}{\begin{@theorem}}{\end{@theorem}}
% \newalgorithm{@algorithm}{Algorithm}[section]
% \newenvironment{algorithm}{\begin{@algorithm}}{\end{@algorithm}}
\newtheorem{lemma}{Lemma}[section]
\newtheorem{fact}{Fact}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{axiom}{Axiom}[section]
\newtheorem{cond}{Condition}[section]
\newtheorem{property}{Property}[section]
\newtheorem{proposition}{Proposition}[section]
\newtheorem{Conjecture}{Conjecture}[section]
\newtheorem{Definition}{Definition}[section]
\newtheorem{Lemma}{Lemma}[section]
\newtheorem{Remark}{Remark}[section]
\newproof{Example}{Example}
\newproof{Method}{Method}
\newproof{Exercise}{Exercise}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% TABLE AND FIGURE CAPTIONS %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\@figtxt{figure}
\long\def\@makecaption#1#2{\small
\setlength{\parindent}{18pt}
\baselineskip 14pt
\ifx\@captype\@figtxt
\vskip 10pt
\setbox\@tempboxa\hbox{{\sc #1} {\it #2}}
\ifdim \wd\@tempboxa >\hsize {\sc #1} {\it #2}\par \else \hbox
to\hsize{\hfil\box\@tempboxa\hfil}%
\fi\else\hbox to\hsize{\hfil{\sc #1}\hfil}%
\setbox\@tempboxa\hbox{{\it #2}}%
\ifdim \wd\@tempboxa >\hsize {\it #2}\par \else
\hbox to \hsize{\hfil\box\@tempboxa\hfil}\fi
\vskip 10pt
\fi}
%\newif\iftable \global\tablefalse
%\long\def\@makecaption#1#2{%
%\setlength{\parindent}{18pt}
% \vskip 12pt
% \iftable
% \hbox to \hsize{\hfil\sc #1\hfil}
% \hbox to \hsize{\hfil\it #2\hfil}
% \global\tablefalse
% \else
% \setbox\@tempboxa\hbox{{\small#1} {\small\it#2}}
% \ifdim \wd\@tempboxa >\hsize
% \indent{\small#1}{\small\it#2}\par
% \else
% \hbox to\hsize{\hfil\box\@tempboxa\hfil}\fi
% \fi}
% \vskip 6pt}
%\def\figure{\global\tablefalse\@float{figure}}
\def\fnum@figure{\par\sc Fig. \thefigure.\ }
%\def\fnum@figure{\par\sc Fig. \thefigure\ }
%\def\table{\global\tabletrue\@float{table}}
\def\fnum@table{\small \sc Table \thetable}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% SECTIONS %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\section{\@startsection {section}{1}{\z@}{-3.5ex plus -1ex minus
-.2ex}%{2.3ex plus .2ex}
{2pt}{\large\bf}}
\def\subsection{\@startsection{subsection}{2}{\z@}{-3.25ex plus -1ex minus
-.2ex}%{1.5ex plus .2ex}
{2pt}{\large\bf}}
\def\subsubsection{\@startsection {subsubsection}{3}{\z@}{1.3ex plus .5ex minus
.2ex}{-.5em plus -.1em}{\normalsize\bf}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% %%
%% BIBLIOGRAPHY %%
%% %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\thebibliography#1{%
%\cleardoublepage
\parindent 0em
\vspace{9pt}
\begin{flushleft}\large\bf {References}\end{flushleft}
\addvspace{3pt}\nopagebreak\list
%% default is no labels, for those not using \cite or BibTeX
{[\arabic{enumi}]} {\settowidth\labelwidth{[#1]}
%%{[\arabic{enumi}]}{\settowidth\labelwidth{mm}
\leftmargin\labelwidth
\leftmargin=17pt
\advance\leftmargin\labelsep
\usecounter{enumi}\@bibsetup}
\def\newblock{\hskip .11em plus .33em minus -.07em}
\sloppy\clubpenalty4000\widowpenalty4000
\sfcode`\.=1000\relax}
%% setup 8/10 type
\def\@bibsetup{%\itemindent=0pt
\itemsep=0pt \parsep=0pt
\small}
\def\sameauthor{\leavevmode\vrule height 2pt depth -1.6pt width 23pt}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% INDEX %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%makeindex.sty official version 6.4
%The second line came from /usr/misc/lib/tex82/report.sty.
\def\theindex{\@restonecoltrue\if@twocolumn\@restonecolfalse\fi
\columnseprule \z@
\columnsep 35pt\twocolumn[\chapter*{Index}]
\parskip\z@ plus .3pt\relax\let\item\@idxitem}
\def\printindex{\cleardoublepage\markboth{INDEX}{INDEX}
\addcontentsline{toc}{chapter}{Index}\@input{\jobname.ind}}
\ps@headings
%%% end of style file