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mscs.cls
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%%
%% This is file `mscs.cls'
%%
%% CUP Journal MSCS document class
%% Copyright (1996-2001) Cambridge University Press
%%
%% by Mark A. Reed
%% based on MSCS.STY
%%
%% Bugs (in the case of unchanged files) should be reported to
%%
%% This software may only be used in the preparation of journal articles
%% or books or parts of books to be published by Cambridge University Press.
%% Any other use constitutes an infringement of copyright.
%%
%% \CharacterTable
%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
%% Digits \0\1\2\3\4\5\6\7\8\9
%% Exclamation \! Double quote \" Hash (number) \#
%% Dollar \$ Percent \% Ampersand \&
%% Acute accent \' Left paren \( Right paren \)
%% Asterisk \* Plus \+ Comma \,
%% Minus \- Point \. Solidus \/
%% Colon \: Semicolon \; Less than \<
%% Equals \= Greater than \> Question mark \?
%% Commercial at \@ Left bracket \[ Backslash \\
%% Right bracket \] Circumflex \^ Underscore \_
%% Grave accent \` Left brace \{ Vertical bar \|
%% Right brace \} Tilde \~}
%%
\NeedsTeXFormat{LaTeX2e}[1997/12/01]
\ProvidesClass{mscs}[2001/10/03 v1.27 Mathematical Structures in Computer
^^JScience document class]
\newif\ifprodtf
\DeclareOption{oneside}{\relax}
\DeclareOption{twoside}{\@twosidetrue \@mparswitchtrue}
\DeclareOption{draft}{\setlength\overfullrule{5\p@}}
\DeclareOption{final}{\setlength\overfullrule{\z@}}
\DeclareOption{onecolumn}{\@twocolumnfalse}
\DeclareOption{twocolumn}{\relax}
\DeclareOption{titlepage}{\relax}
\DeclareOption{notitlepage}{\relax}
\DeclareOption{leqno}{\relax}
\DeclareOption{fleqn}{\relax}
\DeclareOption{prodtf}{\prodtftrue}
\ExecuteOptions{twoside,final,onecolumn}
\ProcessOptions\relax
\ifprodtf \RequirePackage{CUPTimes,mscs2esy}\fi
\setlength\lineskip{1\p@}
\setlength\normallineskip{1\p@}
\renewcommand\baselinestretch{}
\renewcommand\normalsize{%
\@setfontsize\normalsize\@xpt{13}%
\abovedisplayskip 6.5\p@ \@plus 1\p@ \@minus 1\p@
\belowdisplayskip \abovedisplayskip
\abovedisplayshortskip 3\p@ \@plus 1\p@
\belowdisplayshortskip \abovedisplayshortskip
\let\@listi\@listI
}
\normalsize
\newdimen\oneem \oneem=1em
\newcommand\small{%
\@setfontsize\small\@ixpt{12}%
\abovedisplayskip 6\p@ \@plus 1\p@ \@minus 1\p@
\belowdisplayskip \abovedisplayskip
\abovedisplayshortskip 3\p@ \@plus 1\p@
\belowdisplayshortskip \abovedisplayshortskip
\def\@listi{\leftmargin\leftmargini
\topsep 2\p@ \@plus 1\p@ \@minus 1\p@
\parsep \z@
\itemsep \parsep}%
}
\newcommand\footnotesize{%
\@setfontsize\footnotesize\@viiipt{10}%
\abovedisplayskip 5\p@ \@plus 1\p@ \@minus 1\p@
\belowdisplayskip \abovedisplayskip
\abovedisplayshortskip \z@ \@plus 1\p@
\belowdisplayshortskip \abovedisplayshortskip
\def\@listi{\leftmargin\leftmargini
\topsep 2\p@ \@plus 1\p@ \@minus 1\p@
\parsep \z@
\itemsep \parsep}%
}
\newcommand\indexsize{\@setfontsize\indexsize\@viiipt{9}}
\newcommand\scriptsize{\@setfontsize\scriptsize\@viipt{8}}
\newcommand\tiny{\@setfontsize\tiny\@vpt{6}}
\newcommand\large{\@setfontsize\large\@xiipt{14}}
\newcommand\Large{\@setfontsize\Large\@xivpt{18}}
\newcommand\LARGE{\@setfontsize\LARGE\@xviipt{21}}
\newcommand\huge{\@setfontsize\huge\@xxpt{25}}
\newcommand\Huge{\@setfontsize\Huge\@xxvpt{30}}
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
\DeclareRobustCommand*{\cal}{\@fontswitch{\relax}{\mathcal}}
\DeclareRobustCommand*{\mit}{\@fontswitch{\relax}{\mathnormal}}
\ifprodtf \else
\setlength\oddsidemargin{2pc}
\setlength\evensidemargin{2pc}
\setlength\topmargin{3pc}
\fi
\setlength\marginparwidth{2.0cm}
\setlength\marginparsep{10\p@}
\setlength\headheight{13\p@}
\setlength\headsep{13\p@}
\setlength\topskip{13\p@}
\setlength\footskip{26\p@}
\setlength\textheight{43\baselineskip}
\addtolength\textheight{\topskip}
\setlength\textwidth{32pc}
\setlength\columnsep{10\p@}
\setlength\columnseprule{\z@}
\setlength\footnotesep{6.65\p@}
\setlength{\skip\footins}{19.5\p@ \@plus 12\p@ \@minus 1\p@}
\setlength\floatsep{13\p@ \@plus 6.5\p@ \@minus 1\p@}
\setlength\textfloatsep{15\p@ \@plus 4.5\p@ \@minus 3\p@}
\setlength\intextsep{13\p@ \@plus 6.5\p@ \@minus 2\p@}
\setlength\dblfloatsep{13\p@ \@plus 6.5\p@ \@minus 2\p@}
\setlength\dbltextfloatsep{15\p@ \@plus 4.5\p@ \@minus 3\p@}
\setlength\@fptop{\z@ \@plus 0fil}
\setlength\@fpsep{13\p@ \@plus 0fil}
\setlength\@fpbot{\z@ \@plus 3fil}
\setlength\@dblfptop{\z@ \@plus 0fil}
\setlength\@dblfpsep{13\p@ \@plus 0fil}
\setlength\@dblfpbot{\z@ \@plus 3fil}
\setlength\marginparpush{5\p@}
\setlength\parskip{\z@ \@plus .3\p@}
\setlength\parindent{1em}
\setlength\partopsep{\z@ \@plus 1\p@}
\@lowpenalty 51
\@medpenalty 151
\@highpenalty 301
\@beginparpenalty -\@lowpenalty
\@endparpenalty -\@lowpenalty
\@itempenalty -\@lowpenalty
\clubpenalty\z@
\widowpenalty\@M
\newcommand\section{%
\@startsection{section}{1}{\z@}
{-19.5\p@ \@plus -6.5\p@ \@minus -3.25\p@}
{6.5\p@ \@minus 1\p@}
{\normalsize\normalfont\bfseries\raggedright}%
}
\newcommand\subsection{%
\@startsection{subsection}{2}{\z@}
{-19.5\p@ \@plus -3.25\p@ \@minus -3.25\p@}
{6.5\p@ \@minus 1\p@}
{\normalsize\normalfont\itshape\raggedright}%
}
\newcommand\subsubsection{%
\@startsection{subsubsection}{3}{\z@}
{13\p@ \@plus 3.25\p@ \@minus 1\p@}
{-0.5em}
{\normalsize\normalfont\itshape}%
}
\newcommand\paragraph{%
\@startsection{paragraph}{4}{\z@}
{13\p@ \@plus 3.25\p@ \@minus 1\p@}
{-0.5em}
{\normalsize\normalfont\rmfamily}%
}
\newcommand\subparagraph{%
\@startsection{subparagraph}{4}{\parindent}
{13\p@ \@plus 3.25\p@ \@minus 1\p@}
{-0.5em}
{\normalsize\normalfont\rmfamily}%
}
\newcommand\xhead{% as \section
\@startsection{section}{5}{\z@}
{-19.5\p@ \@plus -6.5\p@ \@minus -3.25\p@}
{6.5\p@ \@minus 1\p@}
{\normalsize\normalfont\bfseries\raggedright}%
}
\newif\ifappendix \appendixfalse
\def\@startsection#1#2#3#4#5#6{% FROM LATEX.LTX
\if@noskipsec \leavevmode \fi
\par \@tempskipa #4\relax
\@afterindenttrue
\ifdim \@tempskipa <\z@
\@tempskipa -\@tempskipa \@afterindentfalse
\fi
\if@nobreak
\everypar{}%
\else
\addpenalty{\@secpenalty}\addvspace{\@tempskipa}%
\fi
\@ifstar
{\@ssect{#3\ifappendix\ifnum #2=\@ne \appendixname. %
\addcontentsline{toc}{#1}{\appendixname}\fi\fi}{#4}{#5}{#6}}%
{\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}%
}
\def\rm@seccntformat#1{{\normalfont\rmfamily\csname the#1\endcsname.\enskip}}
\def\bf@seccntformat#1{{\normalfont\bfseries\ifappendix \appendixname\ \fi
\csname the#1\endcsname.\enskip}}
\def\numberline#1{\hb@xt@\@tempdima{#1\hss}}
\def\@sect#1#2#3#4#5#6[#7]#8{% FROM LATEX.LTX
\ifnum #2>\c@secnumdepth
\let\@svsec\@empty
\else
\refstepcounter{#1}%
\ifnum #2>\@ne
\protected@edef\@svsec{\rm@seccntformat{#1}}%
\else
\protected@edef\@svsec{\bf@seccntformat{#1}}%
\fi
\fi
\@tempskipa #5\relax
\ifdim \@tempskipa>\z@
\begingroup #6\relax
\@hangfrom{\hskip #3\relax\@svsec}%
{\interlinepenalty \@M #8\par}%
\endgroup
\csname #1mark\endcsname{#7}%
\addcontentsline{toc}{#1}{%
\ifnum #2>\c@secnumdepth
\else
\protect\numberline{\ifnum#2=\@ne\ifappendix \appendixname\ \fi\fi
\csname the#1\endcsname}%
\fi
\ifnum#2=\@ne\ifappendix \hspace{48\p@}\fi\fi
#7}%
\else
\def\@svsechd{#6\hskip #3\relax
\@svsec #8\csname #1mark\endcsname{#7}%
\addcontentsline{toc}{#1}{%
\ifnum #2>\c@secnumdepth
\else
\protect\numberline{\csname the#1\endcsname}%
\fi
#7}%
}%
\fi
\@xsect{#5}%
}
\newcommand\appendix{\par
\appendixtrue
\setcounter{section}\z@
\setcounter{subsection}\z@
\def\thesection{\@Alph\c@section}%
\def\thesubsection{\thesection.\@arabic\c@subsection}%
\def\thesubsubsection{\thesubsection.\@arabic\c@subsubsection}%
}
\setlength\leftmargini {1.25pc}
\setlength\leftmarginii {1.25pc}
\setlength\leftmarginiii {1.25pc}
\setlength\leftmarginiv {1.25pc}
\setlength\leftmarginv {1pc}
\setlength\leftmarginvi {1pc}
\setlength\leftmargin {\leftmargini}
\setlength\labelsep {2.5\p@}
\setlength\labelwidth {\leftmargini}
\addtolength\labelwidth {-\labelsep}
\def\makeRLlabel#1{\rlap{#1}\hss}
\def\makeRRlabel#1{\hss\llap{#1}}
\def\@listI{%
\leftmargin\leftmargini
\parsep \z@
\topsep 3\p@ \@plus 1\p@ \@minus 1\p@
\itemsep \z@ \@plus 1\p@ \@minus 1\p@
}
\let\@listi\@listI
\@listi
\def\@listii{%
\leftmargin\leftmarginii
\labelwidth\leftmarginii
\advance\labelwidth-\labelsep
\topsep 3\p@ \@plus 1\p@ \@minus 1\p@
\parsep \z@
\itemsep \parsep
}
\def\@listiii{%
\leftmargin\leftmarginiii
\labelwidth\leftmarginiii
\advance\labelwidth-\labelsep
\topsep 3\p@ \@plus 1\p@ \@minus 1\p@
\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
}
\renewenvironment{itemize}
{\ifnum \@itemdepth>\thr@@
\@toodeep
\else
\advance\@itemdepth \@ne
\edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
\list{\csname\@itemitem\endcsname}%
{\let\makelabel\makeRLlabel}%
\fi}
{\endlist}
\newcommand\labelitemi{\normalfont\bfseries ---}
\newcommand\labelitemii{\normalfont\bfseries --}
\newcommand\labelitemiii{$\m@th\bullet$}
\newcommand\labelitemiv{$\m@th\cdot$}
\renewenvironment{enumerate}
{\ifnum \@enumdepth>\thr@@
\@toodeep
\else
\advance\@enumdepth \@ne
\edef\@enumctr{enum\romannumeral\the\@enumdepth}%
\fi
\@ifnextchar [{\@enumeratetwo}{\@enumerateone}}
{\endlist}
\def\@enumeratetwo[#1]{%
\list{\csname label\@enumctr\endcsname}%
{\settowidth\labelwidth{#1}%
\leftmargin\labelwidth
\advance\leftmargin\labelsep
\usecounter{\@enumctr}%
\let\makelabel\makeRLlabel}%
}
\def\@enumerateone{%
\list{\csname label\@enumctr\endcsname}%
{\usecounter{\@enumctr}%
\let\makelabel\makeRLlabel}%
}
\newcommand\labelenumi {\theenumi}
\renewcommand\theenumi {\@arabic\c@enumi}
\newcommand\labelenumii {(\theenumii)}
\renewcommand\theenumii {\@alph\c@enumii}
\renewcommand\p@enumii {\theenumi}
\newcommand\labelenumiii{\theenumiii}
\renewcommand\theenumiii{\@roman\c@enumiii}
\renewcommand\p@enumiii {\theenumi(\theenumii)}
\newcommand\labelenumiv {\theenumiv}
\renewcommand\theenumiv {\@Alph\c@enumiv}
\renewcommand\p@enumiv {\p@enumiii\theenumiii}
\newcommand*\descriptionlabel[1]{\hspace\labelsep \normalfont\bfseries #1}
\newenvironment{description}
{\list{}{\labelwidth\z@
\itemindent-\leftmargin
\let\makelabel\descriptionlabel}}
{\endlist}
\newenvironment{verse}
{\let\\=\@centercr
\list{}{\itemsep\z@
\itemindent -1.25pc
\listparindent \itemindent
\rightmargin\leftmargin
\advance\leftmargin 1.25pc}\item[]}
{\endlist}
\newenvironment{quotation}
{\list{}{\listparindent 1em%
\itemindent\listparindent
\leftmargin\z@
\rightmargin\leftmargin
\parsep \z@ \@plus 1\p@}\item[]%
\small\normalfont}
{\endlist}
\newenvironment{quote}
{\quotation}
{\endquotation}
\newcommand\maketitle{\par
\begingroup
\def\@makefnmark{{$^{\@thefnmark}$}}%
\newpage
\global\@topnum\z@
\@maketitle \thispagestyle{titlepage}\@thanks
\endgroup
\setcounter{footnote}\z@
\global\let\@maketitle\relax
\global\let\@thanks\relax
\global\let\@title\relax
\global\let\@author\relax
\global\let\maketitle\relax
\global\let\thanks\relax
}
\renewcommand\and{%
\end{author@tabular}\vskip 6\p@\par
\begin{author@tabular}[t]{@{}l@{}}%
}
\let\addressbreak\relax
\def\author@tabular{\def\@halignto{}\@authortable}
\let\endauthor@tabular=\endtabular
\def\author@tabularcr{{\ifnum0=`}\fi
\@xtabularcr[5\p@]\small\normalfont\itshape\ignorespaces}
\def\author@tabularcrnospace{{\ifnum0=`}\fi
\@xtabularcr[-2\p@]\small\normalfont\itshape\ignorespaces}
\def\@authortable{\leavevmode \hbox \bgroup $\let\@acol\@tabacol
\let\@classz\@tabclassz \let\@classiv\@tabclassiv
\let\\\author@tabularcr \@tabarray}
\def\@maketitle{%
\newpage
\vspace*{3\p@}%
{\raggedright \sloppy
{\LARGE\strut \normalfont\bfseries \@title \par}%
\vskip 14\p@
{\normalsize\normalfont
\let\addressbreak\author@tabularcrnospace
\begin{author@tabular}[t]{@{}l@{}}\@author
\end{author@tabular}\par}%
\vskip 13\p@
{\small\strut\normalfont\itshape Received \@date}}%
\par\noindent
\vskip 37\p@
}
\newenvironment{abstract}
{\list{}{\leftmargin\z@
\rightmargin 2pc
\parsep \z@ \@plus 1\p@}%
\raggedright\item[]\small\normalfont}
{\endlist}
\mark{{}{}}
\gdef\@author{\mbox{}}
\renewcommand\author{\@ifnextchar [{\@authortwo}{\@authorone}}
\def\@authortwo[#1]#2{\gdef\@author{#2}\gdef\@shortauthor{#1}}
\def\@authorone#1{\gdef\@author{#1}\gdef\@shortauthor{#1}}
\newcommand\shortauthor[1]{\gdef\@shortauthor{#1}}
\gdef\@shortauthor{}
\gdef\@title{\mbox{}}
\renewcommand\title{\@ifnextchar [{\@titletwo}{\@titleone}}
\def\@titletwo[#1]#2{\gdef\@title{#2}\gdef\@shorttitle{#1}}
\def\@titleone#1{\gdef\@title{#1}\gdef\@shorttitle{#1}}
\newcommand\shorttitle[1]{\gdef\@shorttitle{#1}}
\gdef\@shorttitle{}
\newcommand\pubyear[1]{\gdef\@year{#1}}
\gdef\@year{19XX}
\newcommand\volume[1]{\gdef\@volume{#1}}
\gdef\@volume{00}
\newcommand\pagerange[1]{\gdef\@pagerange{#1}}
\gdef\@pagerange{1--000}
\def\press{DOI: \@doi\quad {Printed in the United Kingdom}}
\newcommand\doi[1]{\gdef\@doi{10.1017/#1}}
\gdef\@doi{10.1017/S0000000000000000}
\newcommand\journal[1]{\gdef\@journal{#1}}
\def\@journal{%
\vbox to 5.6\p@{\noindent
\parbox[t]{5in}{%
\ifprodtf
{\normalfont\itshape Math. Struct. in Comp. Science\/}
(\@year), {\normalfont\itshape vol.} \@volume, {\normalfont\itshape pp.}
\@pagerange.\quad \copyright\ \@year\ Cambridge University
Press\\[2.5\p@]
\press
\else
{\normalfont\itshape Under consideration for publication in
Math. Struct. in Comp. Science}%
\fi}%
\vss}%
}
\def\ps@headings{\let\@mkboth\markboth
\def\@oddhead{\normalfont\rmfamily {\itshape\@shorttitle}\hfill \thepage}%
\def\@evenhead{\normalfont\rmfamily {\itshape\@shortauthor}\hfill \thepage}%
\let\@evenfoot\@empty
\let\@oddfoot\@evenfoot
\def\sectionmark##1{\markboth{##1}{}}%
\def\subsectionmark##1{\markright{##1}}%
}
\def\ps@myheadings{\let\@mkboth\@gobbletwo
\def\@oddhead{\normalfont\rmfamily {\itshape\rightmark}\hfill \thepage}%
\def\@evenhead{\normalfont\rmfamily {\itshape\leftmark}\hfill \thepage}%
\let\@oddfoot\@empty
\let\@evenfoot\@oddfoot
\let\sectionmark\@gobble
\let\subsectionmark\@gobble
}
\def\ps@titlepage{\leftskip\z@ \let\@mkboth\@gobbletwo
\def\@oddhead{\footnotesize\normalfont\@journal \hfill}%
\def\@evenhead{\footnotesize\normalfont\@journal \hfill}%
\let\@oddfoot\@empty
\let\@evenfoot\@oddfoot
\let\sectionmark\@gobble
\let\subsectionmark\@gobble
}
\def\@xnthm#1#2[#3]{% FROM LATEX.LTX
\expandafter\@ifdefinable\csname #1\endcsname
{\@definecounter{#1}\@newctr{#1}[#3]%
\expandafter\xdef\csname the#1\endcsname{\expandafter\noexpand
\csname the#3\endcsname \@thmcountersep \@thmcounter{#1}}%
\global\@namedef{#1}{\@thm{#1}{#2}}%
\global\@namedef{#1*}{\@thmstar{#1}{#2}}%
\global\@namedef{end#1}{\@endtheorem}%
\global\@namedef{end#1*}{\@endthmstar}}%
}
\def\@ynthm#1#2{% FROM LATEX.LTX
\expandafter\@ifdefinable\csname #1\endcsname
{\@definecounter{#1}%
\expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%
\global\@namedef{#1}{\@thm{#1}{#2}}%
\global\@namedef{#1*}{\@thmstar{#1}{#2}}%
\global\@namedef{end#1}{\@endtheorem}%
\global\@namedef{end#1*}{\@endthmstar}}%
}
\def\@othm#1[#2]#3{% FROM LATEX.LTX
\@ifundefined{c@#2}{\@nocounterr{#2}}%
{\expandafter\@ifdefinable\csname #1\endcsname
{\global\@namedef{the#1}{\@nameuse{the#2}}%
\global\@namedef{#1}{\@thm{#2}{#3}}%
\global\@namedef{#1*}{\@thmstar{#2}{#3}}%
\global\@namedef{end#1}{\@endtheorem}%
\global\@namedef{end#1*}{\@endthmstar}}}%
}
\def\@thmstar#1#2{\@ifnextchar[{\@ythmstar{#1}{#2}}{\@xthmstar{#1}{#2}}}
\def\@xthmstar#1#2{\@beginthmstar{#2}{\csname the#1\endcsname}\ignorespaces}
\def\@ythmstar#1#2[#3]{\@opargbeginthmstar{#2}{\csname the#1\endcsname}{#3}%
\ignorespaces}
\def\@thmstarcounter#1{{}}
\def\@thmstarcountersep{{}}
\newif\ifrembrks
\newcommand\removebrackets{\rembrkstrue}
\def\thm@body{\topsep .5\baselineskip \@plus .2\baselineskip
\leftmargin\z@ \rightmargin\leftmargin \listparindent\parindent
}
\def\prf@body{\thm@body \itemindent\parindent \labelsep\z@ \labelwidth\z@}
\def\@begintheorem#1#2{\list{}{\thm@body}%
\item[]{\normalfont\bfseries #1\ #2.}%
\normalfont\rmfamily\enskip\ignorespaces}
\def\@opargbegintheorem#1#2#3{\list{}{\thm@body}%
\item[]{\normalfont\bfseries #1\ #2\ %
\ifrembrks #3\global\rembrksfalse\else (#3)\fi.}%
\normalfont\rmfamily\enskip\ignorespaces}
\let\@endtheorem\endlist
\def\@beginthmstar#1#2{\list{}{\thm@body}%
\item[]{\normalfont\bfseries #1.}%
\normalfont\rmfamily\enskip\ignorespaces}
\def\@opargbeginthmstar#1#2#3{\list{}{\thm@body}%
\item[]{\normalfont\bfseries #1\ %
\ifrembrks #3\global\rembrksfalse\else (#3)\fi.}%
\normalfont\rmfamily\enskip\ignorespaces}
\let\@endthmstar\endlist
\newsavebox{\proofbox}
\savebox{\proofbox}{%
\begin{picture}(7,7)\put(0,0){\framebox(7,7){}}\end{picture}%
}
\newenvironment{proof}
{\@ifnextchar[{\@oprf}{\@nprf}}
{\hspace*{\fill}{\usebox{\proofbox}}\endlist}
\newenvironment{proof*}{\proof}{\endlist}
\def\@oprf[#1]{%
\list{}{\prf@body}%
\item[]{{\normalfont\itshape #1}}%
\normalfont\rmfamily\enskip\ignorespaces
}
\def\@nprf{%
\list{}{\prf@body}%
\item[]{\normalfont\itshape Proof.}%
\normalfont\rmfamily\enskip\ignorespaces
}
\setlength\arraycolsep {5\p@}
\setlength\tabcolsep {6\p@}
\setlength\arrayrulewidth {.5\p@}
\setlength\doublerulesep {1.5\p@}
\setlength\tabbingsep {\labelsep}
\setlength{\skip\@mpfootins} {10\p@ \@plus 5\p@ \@minus 1\p@}
\setlength\fboxsep {3\p@}
\setlength\fboxrule {.5\p@}
\setcounter{secnumdepth}{3}
\newcounter{part}
\newcounter{section}
\newcounter{subsection}[section]
\newcounter{subsubsection}[subsection]
\newcounter{paragraph}[subsubsection]
\newcounter{subparagraph}[paragraph]
\renewcommand\thepart {\@arabic\c@part}
\renewcommand\thesection {\@arabic\c@section}
\renewcommand\thesubsection {\thesection.\@arabic\c@subsection}
\renewcommand\thesubsubsection {\thesubsection.\@arabic\c@subsubsection}
\renewcommand\theparagraph {\thesubsubsection.\@arabic\c@paragraph}
\renewcommand\thesubparagraph {\theparagraph.\@arabic\c@subparagraph}
\def\@pnumwidth{1.55em}
\def\@tocrmarg {2.55em}
\def\@dotsep{4.5}
\setcounter{tocdepth}{2}
\def\@dottedtocline#1#2#3#4#5{% FROM LATEX.LTX
\ifnum #1>\c@tocdepth \else
\vskip \z@ \@plus.2\p@
{\leftskip #2\relax
\rightskip\@tocrmarg \parfillskip -\rightskip
\parindent #2\relax\@afterindenttrue
\interlinepenalty\@M
\leavevmode
\@tempdima #3\relax
\advance\leftskip \@tempdima \null\nobreak\hskip -\leftskip
{#4}\nobreak
% \leaders\hbox{$\m@th
% \mkern \@dotsep mu\hbox{.}\mkern \@dotsep
% mu$}%
\hfill\nobreak
\hb@xt@\@pnumwidth{\hfil\normalfont \normalcolor #5}%
\par}%
\fi}
\newcommand\tableofcontents{%
\xhead*{\contentsname}\@starttoc{toc}%
\par\vspace{13\p@}%
}
\newcommand*\l@section[2]{\addpenalty{\@secpenalty}%
\@tempdima 1.5em%
\begingroup
\parindent \z@ \rightskip \@pnumwidth
\parfillskip -\@pnumwidth \normalfont\rmfamily \leavevmode
\advance\leftskip\@tempdima \hskip -\leftskip
#1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par
\endgroup}
\newcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}}
\newcommand*\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}}
\newcommand*\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}}
\newcommand*\l@subparagraph{\@dottedtocline{5}{10em}{5em}}
\newcommand\listoffigures{%
\xhead*{\listfigurename}\@starttoc{lof}%
}
\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
\let\l@table\l@figure
\newcommand\listoftables{%
\xhead*{\listtablename}\@starttoc{lot}%
}
\newenvironment{thebibliography}[1]
{\xhead*{\refname}%
\addcontentsline{toc}{section}{\refname}%
\list{}{\labelwidth\z@ \leftmargin 1em \itemindent-\leftmargin}%
\small\normalfont \parindent\z@
\parskip\z@ \@plus .1\p@\relax
\sloppy\clubpenalty\z@ \widowpenalty\@M
\sfcode`\.\@m\relax}
{\def\@noitemerr
{\@latex@warning{Empty `thebibliography' environment}}%
\endlist}
\newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em}
\def\@cite#1#2{(#1\if@tempswa , #2\fi)}% FROM LATEX.LTX
\def\@biblabel#1{}% FROM LATEX.LTX
\def\@citex[#1]#2{% FROM LATEX.LTX
\let\@citea\@empty
\@cite{\@for\@citeb:=#2\do
{\@citea\def\@citea{;\ }%
\edef\@citeb{\expandafter\@firstofone\@citeb\@empty}%
\if@filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi
\@ifundefined{b@\@citeb}{{\normalfont\bfseries ?}%
\G@refundefinedtrue
\@latex@warning
{Citation `\@citeb' on page \thepage \space undefined}}%
{{\csname b@\@citeb\endcsname}}}}{#1}}
\newenvironment{theindex}
{\xhead*{\indexname}%
\addcontentsline{toc}{section}{\indexname}%
\footnotesize\normalfont \parindent\z@ \parskip\z@ \@plus .1\p@\relax
\let\item\@idxitem}
{\relax}
\newcommand\@idxitem {\par\hangindent 1em}
\newcommand\subitem {\par\hangindent 3em\hspace*{1em}}
\newcommand\subsubitem{\par\hangindent 4em \hspace*{2em}}
\newcommand\indexspace{\par\vskip\baselineskip \relax}
\renewcommand\footnoterule{% FROM LATEX.LTX
\kern-3\p@
\hrule\@width.4\columnwidth \@height\z@
\kern 3\p@}
\def\@makefnmark{\@textsuperscript{\normalfont\@thefnmark}} % FROM LATEX.LTX
\newcommand\@makefntext[1]{%
\@setpar{\@@par\@tempdima \hsize
\advance\@tempdima-\oneem
\parshape \@ne \oneem \@tempdima}\par
\noindent \hb@xt@\z@{\hss\@makefnmark\ }#1}
\renewcommand\thefootnote{\@fnsymbol\c@footnote}
\def\@fnsymbol#1{\ensuremath{\ifcase#1\or \dagger\or \ddagger\or % FROM LATEX.LTX
\mathsection\or \mathparagraph\or \|\or \dagger\dagger\or \ddagger\ddagger\or
\mathsection\mathsection\or \mathparagraph\mathparagraph\or \|\| \else
\@ctrerr\fi\relax}}
\setcounter{topnumber}{2}
\setcounter{bottomnumber}{1}
\setcounter{totalnumber}{3}
\setcounter{dbltopnumber}{2}
\renewcommand\topfraction{.9}
\renewcommand\bottomfraction{.9}
\renewcommand\textfraction{.1}
\renewcommand\floatpagefraction{.75}
\renewcommand\dbltopfraction{.9}
\renewcommand\dblfloatpagefraction{.5}
\newif\if@contcap
\let\@@caption\caption
\newcommand\contcaption{\@contcaptrue\addtocounter{\@captype}{-1}\@@caption}
\long\def\@makecaption#1#2{\vskip 6.5\p@
\raggedright\sloppy #1\if@contcap {\normalfont\itshape\ continued}\fi.\ #2\par
\@contcapfalse
}
\newcounter{table}
\renewcommand\thetable{\@arabic\c@table}
\def\fps@table{tbp}
\def\ftype@table{1}
\def\ext@table{lot}
\def\fnum@table{\tablename\ \thetable}
\newenvironment{table}
{\@float{table}}
{\end@float}
\newenvironment{table*}
{\let\SFB@currenthline=\SFB@fullhline
\@dblfloat{table}}
{\end@dblfloat}
\def\fstyle@table{\footnotesize\normalfont\rmfamily}
\def\fjust@table{\raggedright}
\def\fcapjust@table{\raggedright\sloppy}
\def\fcapsize@table{\normalsize\normalfont\rmfamily}
\def\fcapstyle@table{\normalsize\normalfont\itshape}
\newcounter{figure}
\renewcommand\thefigure{\@arabic\c@figure}
\def\fps@figure{tbp}
\def\ftype@figure{2}
\def\ext@figure{lof}
\def\fnum@figure{\figurename\ \thefigure}
\newenvironment{figure}
{\@float{figure}}
{\end@float}
\newenvironment{figure*}
{\@dblfloat{figure}}
{\end@dblfloat}
\def\fstyle@figure{\small\normalfont\rmfamily}
\def\fjust@figure{\raggedright}
\def\fcapjust@figure{\raggedright\sloppy}
\def\fcapsize@figure{\small\normalfont\rmfamily}
\def\fcapstyle@figure{\small\normalfont\rmfamily}
\newif\ifwide@float
\long\def\@caption#1[#2]#3{% FROM LATEX.LTX
\par
\addcontentsline{\csname ext@#1\endcsname}{#1}%
{\protect\numberline{\csname the#1\endcsname}{\ignorespaces #2}}%
\begingroup
\ifwide@float \@parboxrestore\else \@myparboxrestore\fi
\if@minipage
\@setminipage
\fi
\@makecaption{\csname fcapjust@#1\endcsname \csname fcapsize@#1\endcsname
\csname fnum@#1\endcsname}
{\csname fcapstyle@#1\endcsname \ignorespaces #3}\par
\endgroup}
\def\@xfloat #1[#2]{% FROM LATEX.LTX
% \@nodocument
\def \@captype {#1}%
\def \@fps {#2}%
\@onelevel@sanitize \@fps
\def \reserved@b {!}%
\ifx \reserved@b \@fps
\@fpsadddefault
\else
\ifx \@fps \@empty
\@fpsadddefault
\fi
\fi
\ifhmode
\@bsphack
\@floatpenalty -\@Mii
\else
\@floatpenalty-\@Miii
\fi
\ifinner
\@parmoderr\@floatpenalty\z@
\else
\@next\@currbox\@freelist
{%
\@tempcnta \sixt@@n
\expandafter \@tfor \expandafter \reserved@a
\expandafter :\expandafter =\@fps
\do
{%
\if \reserved@a h%
\ifodd \@tempcnta
\else
\advance \@tempcnta \@ne
\fi
\fi
\if \reserved@a t%
\@setfpsbit \tw@
\fi
\if \reserved@a b%
\@setfpsbit 4%
\fi
\if \reserved@a p%
\@setfpsbit 8%
\fi
\if \reserved@a !%
\ifnum \@tempcnta>15
\advance\@tempcnta -\sixt@@n\relax
\fi
\fi
}%
\@tempcntb \csname ftype@\@captype \endcsname
\multiply \@tempcntb \@xxxii
\advance \@tempcnta \@tempcntb
\global \count\@currbox \@tempcnta
}%
\@fltovf
\fi
\global \setbox\@currbox
\color@vbox
\normalcolor
\vbox \bgroup
\hsize\columnwidth
\ifwide@float
\@parboxrestore \linewidth\textwidth
\else
\advance\hsize -2pc \@rightskip 2pc%
\@myparboxrestore \linewidth\hsize
\fi
\@floatboxreset
\csname fstyle@#1\endcsname \csname fjust@#1\endcsname
}
\def\@myarrayparboxrestore{%
\let\if@nobreak\iffalse
\let\if@noskipsec\iffalse
\let\par\@@par
\let\-\@dischyph
\let\'\@acci\let\`\@accii\let\=\@acciii
\parindent\z@ \parskip\z@skip
\everypar{}%
\linewidth\hsize
\@totalleftmargin\z@
\leftskip\z@skip \rightskip\@rightskip
\parfillskip\@flushglue \lineskip\normallineskip
\baselineskip\normalbaselineskip
\sloppy}
\def\@myparboxrestore{\@myarrayparboxrestore\let\\\@normalcr}
\let\@@dblfloat\@dblfloat
\def\@dblfloat{\wide@floattrue\@@dblfloat}% FROM LATEX.LTX
\let\@@end@dblfloat\end@dblfloat
\def\end@dblfloat{\@@end@dblfloat\wide@floatfalse}% FROM LATEX.LTX
\def\SFB@fullhline{%
\noalign{\ifnum0=`}\fi
\vskip 3\p@
\hrule \@height\arrayrulewidth \@width\textwidth
\vskip 3\p@
\futurelet \@tempa\@xhline
}
\def\SFB@hline{%
\noalign{\ifnum0=`}\fi
\vskip 3\p@
\hrule \@height \arrayrulewidth
\vskip 3\p@
\futurelet \@tempa\@xhline
}
\let\SFB@currenthline=\SFB@hline
\renewcommand\hline{% FROM LATEX.LTX
\noalign{\ifnum0=`}\fi
\vskip 6\p@
\hrule \@height \arrayrulewidth
\vskip 6\p@
\futurelet \@tempa\@xhline
}
\def\@xhline{%
\ifx\@tempa\hline
\vskip -12\p@
\vskip \doublerulesep
\fi
\ifnum0=`{\fi}%
}
\let\SFB@currenthline\SFB@hline
\renewcommand\tabular{\let\@halignto\@empty % FROM LATEX.LTX
\let\hline\SFB@currenthline
\def\@xhline{%
\ifx\@tempa\hline
\vskip -6\p@
\vskip \doublerulesep
\fi
\ifnum0=`{\fi}%
}