%     This is a newer version of warticle.sty developed originally by
% Charles Wells as a replacement for article.sty and now modified to
% permit the use of pointsizes from 8 to 20, in the form npt, n = 8, 9,
% 10, 11, 12, 14, 17, 20.  At some of the extreme sizes, especially 8 and
% 9, it might not be possible to do mathematics because the full range of
% fonts is missing.  At the high end you may also be missing fonts.  This
% style file also regularizes some (seeming) inconsistencies in the specs
% used by the standard article sizes.
%
% May, 1995
 
\typeout{Document Style `newwart' <May '95>.}
 
\def\partname{Part}
\def\contentsname{Contents}
\def\listfigurename{List of Figures}
\def\listtablename{List of Tables}
\def\refname{References}
\def\indexname{Index}
\def\figurename{Figure}
\def\tablename{Table}
\def\abstractname{Abstract}
 
\def\@ptsize{10} %% default
\@namedef{ds@8pt}{\def\@ptsize{8}}
\@namedef{ds@9pt}{\def\@ptsize{9}}
\@namedef{ds@10pt}{\def\@ptsize{10}}  %% 10pt option allowed
\@namedef{ds@11pt}{\def\@ptsize{11}}
\@namedef{ds@12pt}{\def\@ptsize{12}}
\@namedef{ds@14pt}{\def\@ptsize{14}}
\@namedef{ds@17pt}{\def\@ptsize{17}}
\@namedef{ds@20pt}{\def\@ptsize{20}}
 
\font\egtsfb=cmss8
\font\ninsfb=cmss9
\font\tensfb=cmssbx10
\font\elvsfb=cmssbx10 scaled\magstephalf
\font\twlsfb=cmssbx10 scaled\magstep1
\font\frtnsfb=cmssbx10 scaled\magstep2
\font\svtnsfb=cmssbx10 scaled\magstep3
\font\twtysfb=cmssbx10 scaled\magstep4
\font\twfvsfb=cmssbx10 scaled\magstep5
 
\font\fivfrak=eufm5
\font\sixfrak=eufm5 scaled\magstep1
\font\svnfrak=eufm7
\font\egtfrak=eufm7 scaled\magstephalf
\font\ninfrak=eufm7 scaled\magstep1
\font\tenfrak=eufm10
\font\elvfrak=eufm10 scaled\magstephalf
\font\twlfrak=eufm10 scaled\magstep1
\font\frtnfrak=eufm10 scaled\magstep2
\font\svtnfrak=eufm10 scaled\magstep3
\font\twtyfrak=eufm10 scaled\magstep4
\font\twfvfrak=eufm10 scaled\magstep5
 
\font\svnex=cmex7
\font\egtex=cmex8
\font\ninex=cmex9
\font\tenex=cmex10
\font\elvex=cmex10 scaled\magstephalf
\font\twlex=cmex10 scaled\magstep1
\font\frtnex=cmex10 scaled\magstep2
\font\svtnex=cmex10 scaled\magstep3
\font\twtyex=cmex10 scaled\magstep4
\font\twfvex=cmex10 scaled\magstep5
 
\font\fivsc=rsfs5
\font\sixsc=rsfs5 scaled\magstep1
\font\svnsc=rsfs7
\font\egtsc=rsfs7 scaled\magstephalf
\font\ninsc=rsfs7 scaled\magstep1
\font\tensc=rsfs10
\font\elvsc=rsfs10 scaled\magstephalf
\font\twlsc=rsfs10 scaled\magstep1
\font\frtnsc=rsfs10 scaled\magstep2
\font\svtnsc=rsfs10 scaled\magstep3
\font\twtysc=rsfs10 scaled\magstep4
\font\twfvsc=rsfs10 scaled\magstep5
 
\def\@vpt{%
\textfont\thr@@\svnex \scriptfont\thr@@\svnex
\scriptscriptfont\thr@@\svnex
\textfont11=\egtsfb \scriptfont11=\egtsfb \scriptscriptfont11=\egtsfb
\textfont12=\fivfrak \scriptfont12=\fivfrak \scriptscriptfont12=\fivfrak
\textfont13=\fivsc \scriptfont13=\fivsc \scriptscriptfont13=\fivsc
\def\pfk{\fam12\fivfrak}%
}
 
\def\@vipt{%
\textfont\thr@@\svnex \scriptfont\thr@@\svnex
\scriptscriptfont\thr@@\svnex
\textfont11=\egtsfb \scriptfont11=\egtsfb \scriptscriptfont11=\egtsfb
\textfont12=\sixfrak \scriptfont12=\fivfrak \scriptscriptfont12=\fivfrak
\textfont13=\sixsc \scriptfont13=\fivsc \scriptscriptfont13=\fivsc
\def\pfk{\fam12\sixfrak}%
}
 
\def\@viipt{%
\textfont\thr@@\svnex \scriptfont\thr@@\svnex
\scriptscriptfont\thr@@\svnex
\textfont11=\egtsfb \scriptfont11=\egtsfb \scriptscriptfont11=\egtsfb
\textfont12=\svnfrak \scriptfont12=\fivfrak \scriptscriptfont12=\fivfrak
\textfont13=\svnsc \scriptfont13=\fivsc \scriptscriptfont13=\fivsc
\def\pfk{\fam12\svnfrak}%
}
 
\def\@viiipt{%
\textfont\thr@@\egtex \scriptfont\thr@@\svnex
\scriptscriptfont\thr@@\svnex
\textfont11=\egtsfb \scriptfont11=\egtsfb \scriptscriptfont11=\egtsfb
\textfont12=\egtfrak \scriptfont12=\sixfrak \scriptscriptfont12=\fivfrak
\textfont13=\egtsc \scriptfont13=\sixsc \scriptscriptfont13=\fivsc
\def\pfk{\fam12\egtfrak}%
}
 
\def\@ixpt{%
\textfont\thr@@\ninex \scriptfont\thr@@\svnex
\scriptscriptfont\thr@@\svnex
\textfont11=\ninsfb \scriptfont11=\egtsfb \scriptscriptfont11=\egtsfb
\textfont12=\ninfrak \scriptfont12=\svnfrak \scriptscriptfont12=\fivfrak
\textfont13=\ninsc \scriptfont13=\svnsc \scriptscriptfont13=\fivsc
\def\pfk{\fam12\ninfrak}%
}
 
\def\@xpt{%
\textfont\thr@@\tenex \scriptfont\thr@@\egtex
\scriptscriptfont\thr@@\svnex
\textfont11=\tensfb \scriptfont11=\egtsfb \scriptscriptfont11=\egtsfb
\textfont12=\tenfrak \scriptfont12=\svnfrak \scriptscriptfont12=\fivfrak
\textfont13=\tensc \scriptfont13=\svnsc \scriptscriptfont13=\fivsc
\def\pfk{\fam12\tenfrak}%
}
 
\def\@xipt{%
\textfont\thr@@\elvex \scriptfont\thr@@\ninex
\scriptscriptfont\thr@@\svnex
\textfont11=\elvsfb \scriptfont11=\egtsfb \scriptscriptfont11=\egtsfb
\textfont12=\elvfrak \scriptfont12=\egtfrak \scriptscriptfont12=\sixfrak
\textfont13=\elvsc \scriptfont13=\egtsc \scriptscriptfont13=\sixsc
\def\pfk{\fam12\elvfrak}%
}
 
\def\@xiipt{\textfont\thr@@\twlex \scriptfont\thr@@\ninex
\scriptscriptfont\thr@@\svnex
\textfont11=\twlsfb \scriptfont11=\ninsfb \scriptscriptfont11=\egtsfb
\textfont12=\twlfrak \scriptfont12=\ninfrak \scriptscriptfont12=\sixfrak
\textfont13=\twlsc \scriptfont13=\ninsc \scriptscriptfont13=\sixsc
\def\pfk{\fam12\twlfrak}%
}
 
\def\@xivpt{\textfont\thr@@\frtnex \scriptfont\thr@@\tenex
\scriptscriptfont\thr@@\svnex
\textfont11=\frtnsfb \scriptfont11=\tensfb \scriptscriptfont11=\egtsfb
\textfont12=\frtnfrak \scriptfont12=\tenfrak \scriptscriptfont12=\svnfrak
\textfont13=\frtnsc \scriptfont13=\tensc \scriptscriptfont13=\svnsc
\def\pfk{\fam12\frtnfrak}%
}
 
\def\@xviipt{\textfont\thr@@\svtnex \scriptfont\thr@@\twlex
\scriptscriptfont\thr@@\ninex
\textfont11=\svtnsfb \scriptfont11=\twlsfb \scriptscriptfont11=\ninsfb
\textfont12=\svtnfrak \scriptfont12=\twlfrak \scriptscriptfont12=\ninfrak
\textfont13=\svtnsc \scriptfont13=\twlsc \scriptscriptfont13=\ninsc
\def\pfk{\fam12\svtnfrak}%
}
 
\def\@xxpt{\textfont\thr@@\twtyex \scriptfont\thr@@\frtnex
\scriptscriptfont\thr@@\tenex
\textfont11=\twtysfb \scriptfont11=\frtnsfb \scriptscriptfont11=\tensfb
\textfont12=\twtyfrak \scriptfont12=\frtnfrak \scriptscriptfont12=\tenfrak
\textfont13=\twtysc \scriptfont13=\frtnsc \scriptscriptfont13=\tensc
\def\pfk{\fam12\twtyfrak}%
}
\def\fk{\protect\pfk}
 
 
\def\ds@twoside{\@twosidetrue
           \@mparswitchtrue}
 
\def\ds@draft{\overfullrule 5\p@}
 
\newif\if@titlepage \@titlepagefalse
\def\ds@titlepage{\@titlepagetrue}
 
\def\ds@twocolumn{\@twocolumntrue}
\@options
 
\def\baselinestretch{1}
 
\newdimen\P@
\def\fivpoint#1{\P@=.5\p@\@setsize{#1}{12\P@}\vpt\@vpt}
\def\sixpoint#1{\P@=.6\p@\@setsize{#1}{12\P@}\vipt\@vipt}
\def\sevpoint#1{\P@=.7\p@\@setsize{#1}{12\P@}\viipt\@viipt}
\def\egtpoint#1{\P@=.8\p@\@setsize{#1}{12\P@}\viiipt\@viiipt}
\def\ninpoint#1{\P@=.9\p@\@setsize{#1}{12\P@}\ixpt\@ixpt}
\def\tenpoint#1{\P@=\p@\@setsize{#1}{12\P@}\xpt\@xpt}
\def\elvpoint#1{\P@=1.095\p@\@setsize{#1}{12\P@}\xipt\@xipt}
\def\twlpoint#1{\P@=1.2\p@\@setsize{#1}{12\P@}\xiipt\@xiipt}
\def\frtnpoint#1{\P@=1.44\p@\@setsize{#1}{12\P@}\xivpt\@xivpt}
\def\svtnpoint#1{\P@=1.728\p@\@setsize{#1}{12\P@}\xviipt\@xviipt}
\def\twtypoint#1{\P@=2.0736\p@\@setsize{#1}{12\P@}\xxpt\@xxpt}
\def\twfvpoint#1{\P@=2.48832\p@\@setsize{#1}{12\P@}\xxvpt\@xxvpt}
 
\ifnum\@ptsize=8
\def\@normalsize{\egtpoint\normalsize}
\def\small{\sevpoint\small}
\def\footnotesize{\sixpoint\footnotesize}
\def\scriptsize{\fivpoint\scriptsize}
\let\tiny\scriptsize
\def\large{\ninpoint\large}
\def\Large{\tenpoint\Large}
\def\LARGE{\twlpoint\LARGE}
\def\huge{\frtnpoint\huge}
\def\Huge{\svtnpoint\Huge}
\font\lasyb=lasyb10
 
\else\ifnum\@ptsize=9
\def\@normalsize{\ninpoint\normalsize}
\def\small{\egtpoint\small}
\def\footnotesize{\sevpoint\footnotesize}
\def\scriptsize{\sixpoint\scriptsize}
\def\tiny{\fivpoint\tiny}
\def\large{\tenpoint\large}
\def\Large{\twlpoint\Large}
\def\LARGE{\frtnpoint\LARGE}
\def\huge{\svtnpoint\huge}
\def\Huge{\twtypoint\Huge}
\font\lasyb=lasyb10
 
\else \ifnum\@ptsize=10
\def\@normalsize{\tenpoint\normalsize}
\def\small{\ninpoint\small}
\def\footnotesize{\egtpoint\footnotesize}
\def\scriptsize{\sevpoint\scriptsize}
\def\tiny{\sixpoint\tiny}
\def\large{\twlpoint\large}
\def\Large{\frtnpoint\Large}
\def\LARGE{\svtnpoint\LARGE}
\def\huge{\twtypoint\huge}
\def\Huge{\twfvpoint\Huge}
\font\lasyb=lasyb10
 
\else \ifnum\@ptsize=11
\def\@normalsize{\elvpoint\normalsize}
\def\small{\tenpoint\small}
\def\footnotesize{\ninpoint\footnotesize}
\def\scriptsize{\egtpoint\scriptsize}
\def\tiny{\sevpoint\tiny}
\def\large{\frtnpoint\large}
\def\Large{\svtnpoint\Large}
\def\LARGE{\twtypoint\LARGE}
\def\huge{\twfvpoint\huge}
\let\Huge\huge
\font\tenln    = line10    scaled \magstephalf
\font\tenlnw   = linew10   scaled \magstephalf
\font\tencirc  = lcircle10  scaled \magstephalf
\font\tencircw = lcirclew10 scaled \magstephalf
\font\lasyb=lasyb10 scaled \magstephalf
 
\else \ifnum\@ptsize=12
\def\@normalsize{\twlpoint\normalsize}
\def\small{\elvpoint\small}
\def\footnotesize{\tenpoint\footnotesize}
\def\scriptsize{\ninpoint\scriptsize}
\def\tiny{\egtpoint\tiny}
\def\large{\frtnpoint\large}
\def\Large{\svtnpoint\Large}
\def\LARGE{\twtypoint\LARGE}
\def\huge{\twfvpoint\huge}
\let\Huge\huge
\font\tenln    = line10    scaled \magstep1
\font\tenlnw   = linew10   scaled \magstep1
\font\tencirc  = lcircle10  scaled \magstep1
\font\tencircw = lcirclew10 scaled \magstep1
\font\lasyb=lasyb10 scaled \magstep 1
 
\else \ifnum\@ptsize=14
\def\@normalsize{\frtnpoint\normalsize}
\def\small{\twlpoint\small}
\def\footnotesize{\elvpoint\footnotesize}
\def\scriptsize{\tenpoint\scriptsize}
\def\tiny{\ninpoint\tiny}
\def\large{\svtnpoint\large}
\def\Large{\twtypoint\Large}
\def\LARGE{\twfvpoint\LARGE}
\let\huge\LARGE
\let\Huge\LARGE
\font\tenln    = line10    scaled  \magstep2
\font\tenlnw   = linew10   scaled  \magstep2
\font\tencirc  = lcircle10  scaled \magstep2
\font\tencircw = lcirclew10 scaled \magstep2
\font\lasyb=lasyb10 scaled \magstep 2
 
\else \ifnum\@ptsize=17
\def\@normalsize{\svtnpoint\normalsize}
\def\small{\frtnpoint\small}
\def\footnotesize{\twlpoint\footnotesize}
\def\scriptsize{\elvpoint\scriptsize}
\def\tiny{\tenpoint\tiny}
\def\large{\twtypoint\large}
\def\Large{\twfvpoint\Large}
\let\LARGE\Large
\let\huge\Large
\let\Huge\Large
\font\tenln    = line10    scaled  \magstep3
\font\tenlnw   = linew10   scaled  \magstep3
\font\tencirc  = lcircle10  scaled \magstep3
\font\tencircw = lcirclew10 scaled \magstep3
\font\lasyb=lasyb10 scaled \magstep 3
 
\else \ifnum\@ptsize=20
\def\@normalsize{\twtypoint\normalsize}
\def\small{\svtnpoint\small}
\def\footnotesize{\frtnpoint\footnotesize}
\def\scriptsize{\twlpoint\scriptsize}
\def\tiny{\elvpoint\tiny}
\def\large{\twfvpoint\large}
\let\Large\large
\let\LARGE\large
\let\huge\large
\let\Huge\large
\font\tenln    = line10    scaled  \magstep4
\font\tenlnw   = linew10   scaled  \magstep4
\font\tencirc  = lcircle10  scaled \magstep4
\font\tencircw = lcirclew10 scaled \magstep4
\font\lasyb=lasyb10 scaled \magstep 4
 
\fi \fi \fi \fi \fi \fi \fi \fi
\thinlines
\normalsize
 
\abovedisplayskip 10\P@ plus 3\P@ minus 3\P@
\belowdisplayskip \abovedisplayskip
\abovedisplayshortskip 3\P@ plus 3\p@
\belowdisplayshortskip\abovedisplayshortskip
\def\@listi{\leftmargin\leftmargini \parsep 4\P@ plus2\P@ minus\P@
\topsep 8\P@ plus2\P@ minus4\P@ \itemsep 4\P@ plus2\P@ minus\P@}
 
 
 
% \input art\@ptsize.sty\relax
 
\textwidth 345\P@
\ifdim  \textwidth<6.5in \else \textwidth6.5in\fi
 
\if@twoside
    \oddsidemargin=159pt
    \advance\oddsidemargin -115\P@
    \ifdim\oddsidemargin<0pt\oddsidemargin0pt\fi
    \evensidemargin=192pt
    \advance\evensidemargin -110\P@
    \ifdim\evensidemargin<0pt\evensidemargin0pt\fi
    \marginparwidth=217pt
    \advance\marginparwidth -110\P@
    \ifdim\marginparwidth<72pt\marginparwidth0pt\fi
\else
    \oddsidemargin=178pt
    \advance\oddsidemargin -115\P@
    \ifdim\oddsidemargin<0pt\oddsidemargin0pt\fi
    \evensidemargin\oddsidemargin
    \marginparwidth=200pt
    \advance\marginparwidth -110\P@
    \ifdim\marginparwidth<72pt\marginparwidth0pt\fi
\fi
 
 
\topmargin 0pt
 
\headheight 12\P@
\headsep 25\P@
\topskip =10pt
 
\footskip 30\P@
 
\textheight = 7.1in
\advance\textheight by \topskip
 
\columnsep 10pt
\columnseprule 0pt
 
\footnotesep 6.65\P@
 
\skip\footins 9\P@ plus 4\P@ minus 2\P@
 
\floatsep 12\P@ plus 2\P@ minus 2\P@
 
\textfloatsep 20\P@ plus 2\P@ minus 4\P@
 
\intextsep 12\P@ plus 2\P@ minus 2\P@
 
\@maxsep 20\P@
 
\dblfloatsep 12\P@ plus 2\P@ minus 2\P@
 
\dbltextfloatsep 20\P@ plus 2\P@ minus 4\P@
 
\@dblmaxsep 20\P@
 
\@fptop 0pt plus 1fil
 
\@fpsep 8\P@ plus 2fil
\@fpbot 0pt plus 1fil
 
\@dblfptop 0pt plus 1fil
 
\@dblfpsep 8\P@ plus 2fil
\@dblfpbot 0pt plus 1fil
 
\marginparpush 5\P@
 
\parskip 0pt plus 1\P@
 
\parindent 15\P@
 
\partopsep 2\P@ plus 1\P@ minus 1\P@
 
\@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 \Large \bf Part \thepart \par\nobreak \fi \huge
\bf #2\markboth{}{}\par } \nobreak \vskip 3ex \@afterheading }
\def\@spart#1{{\parindent 0pt \raggedright
 \huge \bf
 #1\par} \nobreak \vskip 3ex \@afterheading }
\def\chapter{\@startsection {chapter}{1}{\z@}{-5ex plus -1ex minus
-.2ex}{2.00ex plus .2ex}{\Large\bf}}
\def\section{\@startsection {section}{1}{\z@}{-4ex plus -1ex minus
-.2ex}{1.75ex plus .2ex}{\large\bf}}
\def\ss{\kern-1em}
\def\subsection{\@startsection{subsection}{2}{\z@}{-3.2ex plus -1ex minus
 -.2ex}{-1em plus 1em minus .4em}{\normalsize\bf}}
\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-2.75ex plus
 -1ex minus -.2ex}{-1em}{\normalsize\bf}}
 
\def\paragraph{\@startsection
 {paragraph}{4}{\z@}{3.25ex plus 1ex minus .2ex}{-1em}{\normalsize\bf}}
\def\subparagraph{\@startsection
 {subparagraph}{4}{\parindent}{3.25ex plus 1ex minus
 .2ex}{-1em}{\normalsize\bf}}
 
\setcounter{secnumdepth}{3}
 
\def\appendix{\par
  \setcounter{section}{0}
  \setcounter{subsection}{0}
  \def\thesection{\Alph{section}}}
 
\leftmargini 25\P@
\leftmarginii 22\P@
\leftmarginiii 18.7\P@
\leftmarginiv 17\P@
\leftmarginv 10\P@
\leftmarginvi 10\P@
 
\leftmargin\leftmargini
\labelsep 5\P@
\labelwidth\leftmargini\advance\labelwidth-\labelsep
 
\def\@listI{\leftmargin\leftmargini \parsep 4\P@ plus2\P@ minus\P@
\topsep 8\P@ plus2\P@ minus4\P@
\itemsep 4\P@ plus2\P@ minus\P@}
 
\let\@listi\@listI
\@listi
 
\def\@listii{\leftmargin\leftmarginii
   \labelwidth\leftmarginii\advance\labelwidth-\labelsep
   \topsep 4\P@ plus2\P@ minus\P@
   \parsep 2\P@ plus\P@ minus\P@
   \itemsep \parsep}
 
\def\@listiii{\leftmargin\leftmarginiii
    \labelwidth\leftmarginiii\advance\labelwidth-\labelsep
    \topsep 2\P@ plus\P@ minus\P@
    \parsep \z@ \partopsep \P@ plus\z@ minus\P@
    \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}
 
\def\labelenumi{\theenumi.}
\def\theenumi{\arabic{enumi}}
 
\def\labelenumii{(\theenumii)}
\def\theenumii{\alph{enumii}}
\def\p@enumii{\theenumi}
 
\def\labelenumiii{\theenumiii.}
\def\theenumiii{\roman{enumiii}}
\def\p@enumiii{\theenumi(\theenumii)}
 
\def\labelenumiv{\theenumiv.}
\def\theenumiv{\Alph{enumiv}}
\def\p@enumiv{\p@enumiii\theenumiii}
 
\def\labelitemi{$\m@th\bullet$}
\def\labelitemii{\bf --}
\def\labelitemiii{$\m@th\ast$}
\def\labelitemiv{$\m@th\cdot$}
 
\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 \z@ plus\p@}\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
 
\def\theequation{\arabic{equation}}
 
\def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
     \else \newpage \fi \thispagestyle{empty}\c@page\z@}
 
\def\endtitlepage{\if@restonecol\twocolumn \else \newpage \fi}
 
\arraycolsep 5\P@
 
\tabcolsep 6\P@
 
\arrayrulewidth .4\P@
\doublerulesep 2\P@
 
\tabbingsep \labelsep
 
\skip\@mpfootins = \skip\footins
 
\fboxsep = 3\P@
 
\fboxrule = .4\P@
 
\newcounter{part}
\newcounter {section}
\newcounter {subsection}[section]
\newcounter {subsubsection}[subsection]
\newcounter {paragraph}[subsubsection]
\newcounter {subparagraph}[paragraph]
 
\def\thepart          {\Roman{part}}
\def\thesection       {\arabic{section}}
\def\thesubsection    {\thesection.\arabic{subsection}}
\def\thesubsubsection {\thesubsection .\arabic{subsubsection}}
\def\theparagraph     {\thesubsubsection.\arabic{paragraph}}
\def\thesubparagraph  {\theparagraph.\arabic{subparagraph}}
 
\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 \z@ \raggedright
    \interlinepenalty \@M
    \ifnum \c@secnumdepth >\m@ne
      \Large \bf \partname~\thepart%   THEN Print '\partname' and
      \par\nobreak
    \fi
    \huge \bf
    #2%
    \markboth{}{}\par
   }\nobreak
   \vskip 3ex
   \@afterheading
  }
 
\def\@spart#1{{\parindent \z@ \raggedright
    \interlinepenalty \@M
    \huge \bf
    #1\par}
    \nobreak
    \vskip 3ex
    \@afterheading
  }
 
\def\@pnumwidth{1.55em}
\def\@tocrmarg {2.55em}
\def\@dotsep{4.5}
\setcounter{tocdepth}{3}
 
\def\tableofcontents{\section*{\contentsname
        \@mkboth{\uppercase{\contentsname}}{\uppercase{\contentsname}}}%
  \@starttoc{toc}}
 
\def\l@part#1#2{\addpenalty{\@secpenalty}%
   \addvspace{2.25em plus\p@}%
   \begingroup
   \@tempdima 3em
     \parindent \z@ \rightskip \@pnumwidth
     \parfillskip -\@pnumwidth
     {\large \bf
     \leavevmode
     #1\hfil \hbox to\@pnumwidth{\hss #2}}\par
     \nobreak
   \endgroup}
 
\def\l@section#1#2{\addpenalty{\@secpenalty}% good place for page break
   \addvspace{1.0em plus\p@}%
   \@tempdima 1.5em
   \begingroup
     \parindent \z@ \rightskip \@pnumwidth
     \parfillskip -\@pnumwidth
     \bf
     \leavevmode
      \advance\leftskip\@tempdima
      \hskip -\leftskip
     #1\nobreak\hfil \nobreak\hbox to\@pnumwidth{\hss #2}\par
   \endgroup}
 
\def\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}}
\def\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}}
\def\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}}
\def\l@subparagraph{\@dottedtocline{5}{10em}{5em}}
 
\def\listoffigures{\section*{\listfigurename
    \@mkboth{\uppercase{\listfigurename}}{\uppercase{\listfigurename}}}%
  \@starttoc{lof}}
 
\def\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
 
\def\listoftables{\section*{\listtablename\@mkboth
   {\uppercase{\listtablename}}{\uppercase{\listtablename}}}%
  \@starttoc{lot}}
\let\l@table\l@figure
 
\def\thebibliography#1{\section*{\refname\@mkboth
  {\uppercase{\refname}}{\uppercase{\refname}}}\list
  {\@biblabel{\arabic{enumiv}}}{\settowidth\labelwidth{\@biblabel{#1}}%
    \leftmargin\labelwidth
    \advance\leftmargin\labelsep
    \usecounter{enumiv}%
    \let\p@enumiv\@empty
    \def\theenumiv{\arabic{enumiv}}}%
    \def\newblock{\hskip .11em plus.33em minus.07em}%
    \sloppy\clubpenalty4000\widowpenalty4000
    \sfcode`\.=1000\relax}
 
\def\endthebibliography{%
  \def\@noitemerr{\@warning{Empty `thebibliography' environment}}%
  \endlist}
 
\newif\if@restonecol
 
\def\theindex{\@restonecoltrue\if@twocolumn\@restonecolfalse\fi
\columnseprule \z@
\columnsep 35\p@\twocolumn[\section*{\indexname}]%
    \@mkboth{\uppercase{\indexname}}{\uppercase{\indexname}}%
    \thispagestyle{plain}\parindent\z@
    \parskip\z@ plus.3\p@\relax\let\item\@idxitem}
 
\def\@idxitem{\par\hangindent 40\p@}
 
\def\subitem{\par\hangindent 40\p@ \hspace*{20\p@}}
 
\def\subsubitem{\par\hangindent 40\p@ \hspace*{30\p@}}
 
\def\endtheindex{\if@restonecol\onecolumn\else\clearpage\fi}
 
\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}
 
\def\footnoterule{\kern-3\P@
  \hrule width .4\columnwidth
  \kern 2.6\p@}
 
\long\def\@makefntext#1{\parindent 1em\noindent
            \hbox to1.8em{\hss$\m@th^{\@thefnmark}$}#1}
 
\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 10\p@
   \setbox\@tempboxa\hbox{#1: #2}%
   \ifdim \wd\@tempboxa >\hsize
       #1: #2\par
     \else
       \hbox to\hsize{\hfil\box\@tempboxa\hfil}%
   \fi}
 
\newcounter{figure}
\def\thefigure{\@arabic\c@figure}
 
\def\fps@figure{tbp}
\def\ftype@figure{1}
\def\ext@figure{lof}
\def\fnum@figure{\figurename~\thefigure}
\def\figure{\@float{figure}}
\let\endfigure\end@float
\@namedef{figure*}{\@dblfloat{figure}}
\@namedef{endfigure*}{\end@dblfloat}
 
\newcounter{table}
\def\thetable{\@arabic\c@table}
 
\def\fps@table{tbp}
\def\ftype@table{2}
\def\ext@table{lot}
\def\fnum@table{\tablename~\thetable}
\def\table{\@float{table}}
\let\endtable\end@float
\@namedef{table*}{\@dblfloat{table}}
\@namedef{endtable*}{\end@dblfloat}
 
\def\maketitle{\par
 \begingroup
   \def\thefootnote{\fnsymbol{footnote}}%
   \def\@makefnmark{\hbox
       to\z@{$\m@th^{\@thefnmark}$\hss}}%
   \if@twocolumn
     \twocolumn[\@maketitle]%
     \else \newpage
     \global\@topnum\z@
     \@maketitle \fi\thispagestyle{plain}\@thanks
 \endgroup
 \setcounter{footnote}{0}%
 \let\maketitle\relax
 \let\@maketitle\relax
 \gdef\@thanks{}\gdef\@author{}\gdef\@title{}\let\thanks\relax}
 
\def\@maketitle{\newpage
 \null
 \vskip 2em
 \begin{center}%
  {\LARGE \@title \par}%
  \vskip 1.5em
  {\large
   \lineskip .5em
   \begin{tabular}[t]{c}\@author
   \end{tabular}\par}%
  \vskip 1em
  {\large \@date}%
 \end{center}%
 \par
 \vskip 1.5em}
 
\def\abstract{\if@twocolumn
\section*{\abstractname}%
\else \small
\begin{center}%
{\bf \abstractname\vspace{-.5em}\vspace{\z@}}%
\end{center}%
\quotation
\fi}
 
\def\endabstract{\if@twocolumn\else\endquotation\fi}
 
\mark{{}{}}
 
\if@twoside
 \def\ps@headings{\let\@mkboth\markboth
  \def\@oddfoot{}\def\@evenfoot{}%       No feet.
  \def\@evenhead{\rm \thepage\hfil \sl \leftmark}%        Left heading.
  \def\@oddhead{{\sl \rightmark}\hfil \rm\thepage}% Right heading.
  \def\sectionmark##1{\markboth {\uppercase{\ifnum \c@secnumdepth >\z@
    \thesection\hskip 1em\relax \fi ##1}}{}}%
  \def\subsectionmark##1{\markright {\ifnum \c@secnumdepth >\@ne
          \thesubsection\hskip 1em\relax \fi ##1}}}
\else
 \def\ps@headings{\let\@mkboth\markboth
  \def\@oddfoot{}\def\@evenfoot{}%     No feet.
  \def\@oddhead{{\sl \rightmark}\hfil \rm\thepage}% Heading.
  \def\sectionmark##1{\markright {\uppercase{\ifnum \c@secnumdepth >\z@
    \thesection\hskip 1em\relax \fi ##1}}}}
\fi
 
\def\ps@myheadings{\let\@mkboth\@gobbletwo
 \def\@oddhead{{\sl\rightmark}\hfil \rm\thepage}%
 \def\@oddfoot{}\def\@evenhead{\rm \thepage\hfil\sl\leftmark}%
 \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}
 
\ps@plain
\pagenumbering{arabic}
\if@twoside\else\raggedbottom\fi
\if@twocolumn
 \@@input twocolum.sty\relax
\else
 \onecolumn
\fi
 
\if@titlepage
  \@@input titlepag.sty\relax
\fi
 
\textheight=8.0in \headheight=0in \headsep=0in
\textwidth=6.2in \oddsidemargin=0.0in
\advance\textheight by \topskip
\columnsep 10pt \columnseprule 0pt
 
%Slight changes in spacing
\fontdimen2\twlrm=4.1pt% space instead of 3.91663
\fontdimen3\twlrm=2.0pt%stretch instead of 1.95831
\fontdimen4\twlrm=1.0pt%shrink instead of 1.30554
 
\def\proclamation{\@startsection{subsection}{2}{\z@}{-\medskipamount
}{-1em plus 1em minus .4em}{\normalsize\bf}}
\def\theorem{\proclamation{Theorem}\begingroup\em}
\def\proposition{\proclamation{Proposition}\begingroup\em}
\def\corollary{\proclamation{Corollary}\begingroup\em}
\def\lemma{\proclamation{Lemma}\begingroup\em}
\def\example{\proclamation{Example}}
\def\endtheorem{\endgroup \par\addvspace{\medskipamount}}
\def\pr@@f[#1]{\par\addvspace{\medskipamount}\noindent Proof#1.\enskip}
\def\proof{\@ifnextchar[{\pr@@f}{\pr@@f[]}}
\def\Box{\vbox{\hrule\hbox{\vrule\kern.5ex
   \vbox{\kern1ex}\kern.5ex\vrule}\hrule}}
\def\endproof{~\hfill$\Box$\par\addvspace{\medskipamount}}
 
\def\addtotextheight#1{\advance\textheight by #1 \advance\@colht by #1
   \advance\@colroom by @1 \advance\vsize by #1}
\def\ps@footings{\let\@mkboth\@gobbletwo
     \def\@oddhead{}\def\@oddfoot{\rm\hfil\thepage}
     \def\@evenhead{}\def\@evenfoot{\rm\thepage\hfil}}
\def\ps@tick{\let\@mkboth\@gobbletwo
\def\@oddhead{\smash{\kern-.8in\lower2.7in \hbox{-}}\hfil}%
\def\@oddfoot{}\def\@evenhead{}\def\@evenfoot{}}
 
% Added to reduce extra space in \eqnarray
\def\eqnarray{\stepcounter{equation}\let\@currentlabel=\theequation
\global\@eqnswtrue
\global\@eqcnt\z@\tabskip\@centering\let\\=\@eqncr
$$\halign to \displaywidth\bgroup\@eqnsel
  $\displaystyle\tabskip\z@{##}$&\global\@eqcnt\@ne
  \hfil${{}##{}}$\hfil
  &\global\@eqcnt\tw@  $\displaystyle\tabskip\z@{##}$\hfil
   \tabskip\@centering&\llap{##}\tabskip\z@\cr}
\let\@eqnsel = \hfil
 
\def\lefteqn#1{\hbox to 4\arraycolsep{$\displaystyle #1$\hss}}
 
\endinput