% This is the file APS.STY
% from version 2.1 of the REVTEX macro package.
%
% This file is part of a compuscript toolbox distributed by
% the American Physical Society in conjunction with
% the TeX author-prepared program.
%
% All rights not specifically granted are reserved.
% (c) American Physical Society, 1991.
%
% Permission is granted to make and distribute verbatim
% copies of the complete toolbox provided that the README file
% and copyright notices are preserved on all copies.
% Permission is granted to use the style files provided that
% neither the content of the style files nor their names are changed.
% APS macros may be used and distributed provided each use is
% accompanied by an appropriate acknowledgment.
%
% For more information, see the README file.
%
%filename = aps.sty
%March 16, 1989 version

\def\@ptsize{0} \@namedef{ds@11pt}{\def\@ptsize{1}}
\@namedef{ds@12pt}{\def\@ptsize{2}}
\def\ds@twoside{\@twosidetrue \@mparswitchtrue}
\def\ds@draft{\overfullrule 5pt}

\newif\iftwelvepointon %% larger bold math in 12pt style

\@options
\iftwelvepointon\else
\input aps10.sty\fi

\long\def\@makefntext#1{\parindent 1em\noindent
 \hbox to 1.8em{\hss$^{\@thefnmark}$}#1}

\def\labelenumi{\arabic{enumi}.}
\def\theenumi{\arabic{enumi}}
\def\labelenumii{(\alph{enumii})}
\def\theenumii{\alph{enumii}}
\def\p@enumii{\theenumi}
\def\labelenumiii{\roman{enumiii}.}
\def\theenumiii{\roman{enumiii}}
\def\p@enumiii{\theenumi(\theenumii)}
\def\labelenumiv{\Alph{enumiv}.}
\def\theenumiv{\Alph{enumiv}}
\def\p@enumiv{\p@enumiii\theenumiii}

\def\labelitemi{$\bullet$}
\def\labelitemii{\bf --}
\def\labelitemiii{$\ast$}
\def\labelitemiv{$\cdot$}

\def\verse{\let\\=\@centercr
 \list{}{\itemsep\z@ \itemindent -1.5em\listparindent \itemindent
 \rightmargin\leftmargin\advance\leftmargin 1.5em}\item[]}
\let\endverse\endlist
\def\quotation{\list{}{\listparindent 1.5em
 \itemindent\listparindent
 \rightmargin\leftmargin\parsep 0pt plus 1pt}\item[]}
\let\endquotation=\endlist
\def\quote{\list{}{\rightmargin\leftmargin}\item[]}
\let\endquote=\endlist

\def\descriptionlabel#1{\hspace\labelsep \bf #1}
\def\description{\list{}{\labelwidth\z@ \itemindent-\leftmargin
 \let\makelabel\descriptionlabel}}
\let\enddescription\endlist
\newdimen\descriptionmargin
\descriptionmargin=3em




\arraycolsep 5pt \tabcolsep 6pt
\arrayrulewidth .4pt \doublerulesep 2pt
\tabbingsep \labelsep
\skip\@mpfootins = \skip\footins
\fboxsep = 3pt \fboxrule = .4pt

\newcounter{part}
\newcounter {chapter}
\newcounter {section}[chapter]
\newcounter {subsection}[section]
\newcounter {subsubsection}[subsection]
\newcounter {paragraph}[subsubsection]
\newcounter {subparagraph}[paragraph]

\def\thepart {\Roman{part}}
\def\thechapter {\arabic{chapter}}
\def\thesection {\thechapter.\arabic{section}}
\def\thesubsection {\thesection.\arabic{subsection}}
\def\thesubsubsection {\thesubsection .\arabic{subsubsection}}
\def\theparagraph {\thesubsubsection.\arabic{paragraph}}
\def\thesubparagraph {\theparagraph.\arabic{subparagraph}}
\def\@chapapp{Chapter}


\def\@pnumwidth{1.55em}
\def\@tocrmarg {2.55em}
\def\@dotsep{4.5}
\setcounter{tocdepth}{2}

\def\l@chapter#1#2{\pagebreak[3]
 \vskip 1.0em plus 1pt \@tempdima 1.5em \begingroup
 \parindent \z@ \rightskip \@pnumwidth
 \parfillskip -\@pnumwidth
 \bf \leavevmode #1\hfil \hbox to\@pnumwidth{\hss #2}\par
 \endgroup}

\setcounter{topnumber}{2}
\def\topfraction{.7}
\setcounter{bottomnumber}{1}
\def\bottomfraction{.3}
\setcounter{totalnumber}{3}
\def\textfraction{.2}
\def\floatpagefraction{.5}
\setcounter{dbltopnumber}{2}
\def\dbltopfraction{.7}
\def\dblfloatpagefraction{.5}

\long\def\@makecaption#1#2{
 \vskip 10pt
 \setbox\@tempboxa\hbox{#1  #2}
 \ifdim \wd\@tempboxa >\hsize \unhbox\@tempboxa\par \else \hbox
to\hsize{\hfil\box\@tempboxa\hfil}
 \fi}


\mark{{}{}}

\if@twoside
\def\ps@headings{\def\@oddfoot{}\def\@evenfoot{}\def\@evenhead{\rm
\thepage\hfil \sl \leftmark}\def\@oddhead{\hbox{}\sl \rightmark \hfil
\rm\thepage}%
\def\chaptermark##1{\markboth {\uppercase{\ifnum \c@secnumdepth
>\m@ne
 \@chapapp\ \thechapter. \ \fi ##1}}{}}\def\sectionmark##1{\markright
{\uppercase{\ifnum \c@secnumdepth >\z@
 \thesection. \ \fi ##1}}}}
\else
\def\ps@headings{\def\@oddfoot{}\def\@evenfoot{}\def\@oddhead{\hbox
{}\sl \rightmark \hfil \rm\thepage}\def\chaptermark##1{\markright
{\uppercase{\ifnum \c@secnumdepth >\m@ne
 \@chapapp\ \thechapter. \ \fi ##1}}}}
\fi
\def\ps@myheadings{%
\def\@oddhead{\hbox{}\sl\rightmark\hfil\rm\thepage}%
\def\@oddfoot{}\def\@evenhead{\rm \thepage\hfil\sl\leftmark\hbox
{}}\def\@evenfoot{}\def\sectionmark##1{}\def\subsectionmark##1{}}


\def\today{\ifcase\month\or
 January\or February\or March\or April\or May\or June\or
 July\or August\or September\or October\or November\or December\fi
 \space\number\day, \number\year}
\@addtoreset{equation}{chapter}



\ps@plain \pagenumbering{arabic} \onecolumn
\if@twoside\else\raggedbottom\fi
% end of file aps.sty