%%
%% This is file `report.cls',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% classes.dtx  (with options: `report')
%% 
%% This is a generated file.
%% 
%% Copyright 1993 1994 1995 1996 1997 1998 1999
%% The LaTeX3 Project and any individual authors listed elsewhere
%% in this file.
%% 
%% This file is part of the LaTeX base system.
%% -------------------------------------------
%% 
%% It may be distributed and/or modified under the
%% conditions of the LaTeX Project Public License, either version 1.1
%% of this license or (at your option) any later version.
%% The latest version of this license is in
%%    http://www.latex-project.org/lppl.txt
%% and version 1.1 or later is part of all distributions of LaTeX
%% version 1999/06/01 or later.
%% 
%% The list of all files belonging to the LaTeX base distribution is
%% given in the file `manifest.txt'. See also `legal.txt' for additional
%% information.
%% 
%% \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}[1995/12/01]
\ProvidesClass{phdreport}
              [1999/01/07 v1.4a
 Standard LaTeX document class]
\newcommand\@ptsize{}
\newif\if@restonecol
\newif\if@titlepage
\@titlepagetrue
\newif\if@openright

\DeclareOption{letterpaper}
   {\setlength\paperheight {11in}%
    \setlength\paperwidth  {8.5in}%
    \setlength\textheight {9in}%
    \setlength\textwidth  {6in}}

\DeclareOption{10pt}{\renewcommand\@ptsize{0}}

\DeclareOption{11pt}{\renewcommand\@ptsize{1}}
\DeclareOption{12pt}{\renewcommand\@ptsize{2}}

\DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse}


\DeclareOption{final}{\setlength\overfullrule{0pt}}

\DeclareOption{titlepage}{\@titlepagetrue}

\DeclareOption{notitlepage}{\@titlepagefalse}


\DeclareOption{openright}{\@openrighttrue}
\DeclareOption{openany}{\@openrightfalse}


\DeclareOption{onecolumn}{\@twocolumnfalse}

\DeclareOption{twocolumn}{\@twocolumntrue}

\DeclareOption{leqno}{\input{leqno.clo}}
\DeclareOption{fleqn}{\input{fleqn.clo}}
\DeclareOption{openbib}{%
  \AtEndOfPackage{%
   \renewcommand\@openbib@code{%
      \advance\leftmargin\bibindent
      \itemindent -\bibindent
      \listparindent \itemindent
      \parsep \z@
      }%
   \renewcommand\newblock{\par}}%
}
\ExecuteOptions{letterpaper,10pt,oneside,onecolumn,final,openany,titlepage}
\ProcessOptions
\input{size1\@ptsize.clo}
\setlength\lineskip{1\p@}
\setlength\normallineskip{1\p@}
\renewcommand\baselinestretch{}
\setlength\parskip{0\p@ \@plus \p@}
\@lowpenalty   51
\@medpenalty  151
\@highpenalty 301
\setcounter{topnumber}{1}
\renewcommand\topfraction{.7}
\setcounter{bottomnumber}{1}
\renewcommand\bottomfraction{.3}
\setcounter{totalnumber}{2}
\renewcommand\textfraction{.2}
\renewcommand\floatpagefraction{.5}
\setcounter{dbltopnumber}{2}
\renewcommand\dbltopfraction{.7}
\renewcommand\dblfloatpagefraction{.5}

\def\ps@myheadings{%
    \let\@oddfoot\@empty
    \let\@evenfoot\@empty
    \def\@evenhead{\centerline{\thepage}}%
    \def\@oddhead{\centerline{\thepage}}%
    % WE USE ODD CUZ we use single sided
    \let\@mkboth\@gobbletwo
    \let\chaptermark\@gobble
    \let\sectionmark\@gobble
    }

%%% Commands to generate signature page.
%%%
\newcommand{\committeechair}{Name of Chair of Committee}
\newcommand{\departmenthead}{Name of Department Head}
\newcommand{\graduatedean}{Name of Graduate Dean}
\newcommand{\thesissignaturepage}{%
    %\thispagestyle{empty}
    \begin{center}\noindent
    \begin{minipage}{6in}
    {\setlength{\baselineskip}{36pt}
    \vspace{1in}
    \begin{center}
        APPROVAL\\
        of a dissertation submitted by\\
        Roger Evan Griffiths
    \end{center}
    \par}
    \vspace{36pt}
    \noindent
    {\setlength{\baselineskip}{12pt}This dissertation has been read by each
	member of the dissertation committee and has been found to be satisfactory
	regarding content, English usage, format, citations, bibliographic style,
	and consistency, and is ready for submission to the college of Graduate
	Studies.\par}
    \vspace{36pt}
    \par\noindent
    \noindent
    \setlength{\unitlength}{1in}
    \begin{picture}(6,3)(0,3.5)
    \put(0,6.0){Dr. Mark C. Pernarowski}
    \put(1.9,6.0){\line(1,0){2.6}}
    \put(1.9,5.82){(Signature)}
    \put(4.7,6.0){\line(1,0){1.3}}
    \put(4.7,5.82){Date}
    \put(1,5.25){Approved for Department of Mathematical Sciences}
    \put(0,4.75){\departmenthead}
    \put(1.9,4.75){\line(1,0){2.6}}
    \put(1.9,4.57){(Signature)}
    \put(4.7,4.75){\line(1,0){1.3}}
    \put(4.7,4.57){Date}
    \put(1,4.0){Approved for the College of Graduate Studies}
    \put(0,3.5){\graduatedean}
    \put(1.9,3.5){\line(1,0){2.6}}
    \put(1.9,3.32){(Signature)}
    \put(4.7,3.5){\line(1,0){1.3}}
    \put(4.7,3.32){Date}
    \end{picture}
    \end{minipage}
    \end{center}}
%%%

    
\newcommand\maketitle{\begin{titlepage}%
    {\null\par}\vskip 1in%
    \begin{center}%
%    \vspace{-1in}
%    \vspace{.5in}
        { \@title \par}%
        \vskip 48pt%
        {by \par}%
        {\@author \par}%
        \vskip 84pt%
        {\setlength{\baselineskip}{12pt} A dissertation submitted in partial
    		fullfillment\par
   		 of the requirements for the degree \par}%
        	of\\ 
        	Doctor of Philosophy\\
        	in\\
        	{Mathematical Sciences \par}
        \vskip 1.4in
       {\setlength{\baselineskip}{12pt} MONTANA STATE UNIVERSITY\\
        Bozeman, Montana\par}%
        \vskip 24pt
        { \@date \par}%       
    \end{center}\par
%%%%%    \vfil\null
    \end{titlepage}%
    \setcounter{footnote}{0}%
    %%%\setcounter{page}{2}%
    \global\let\thanks\relax
    \global\let\maketitle\relax
    \global\let\@author\@empty
    \global\let\@date\@empty
    \global\let\@title\@empty
    \global\let\@committeechair\@empty
    \global\let\author\relax
    \global\let\date\relax
    \global\let\title\relax
    \global\let\committeechair\relax
    \global\let\and\relax
}

\newcommand*\chaptermark[1]{}
\setcounter{secnumdepth}{2}
\newcounter {part}
\newcounter {chapter}
\newcounter {section}[chapter]
\newcounter {subsection}[section]
\newcounter {subsubsection}[subsection]
\newcounter {paragraph}[subsubsection]
\newcounter {subparagraph}[paragraph]
\renewcommand\thepart {}
\renewcommand\thechapter {\@arabic\c@chapter}
\renewcommand\thesection {}
\renewcommand\thesubsection   {}
\renewcommand\thesubsubsection{}
\renewcommand\theparagraph    {}
\renewcommand\thesubparagraph {}
\newcommand\@chapapp{\chaptername}
\newcommand\part{%
  \if@openright
    \cleardoublepage
  \else
    \clearpage
  \fi
  \thispagestyle{plain}% 
  \if@twocolumn
    \onecolumn
    \@tempswatrue
  \else 
    \@tempswafalse
  \fi
  \null\vfil
  \secdef\@part\@spart
  }

\def\@part[#1]#2{%
    \ifnum \c@secnumdepth >-2\relax
      \refstepcounter{part}%
      \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%
    \else
      \addcontentsline{toc}{part}{#1}%
    \fi
    \markboth{}{}%
    {\centering
     \interlinepenalty \@M
     \normalfont
     \ifnum \c@secnumdepth >-2\relax
       \huge \thepart
       \par
       \vskip 20\p@
     \fi
     \Huge #2\par}%
    \@endpart}
\def\@spart#1{%
    {\centering
     \interlinepenalty \@M
     \normalfont
     \Huge \bfseries #1\par}%
    \@endpart}
\def\@endpart{\vfil\newpage
              \if@twoside
                \null
                \thispagestyle{empty}%
                \newpage
              \fi
              \if@tempswa
                \twocolumn
              \fi}
\newcommand\chapter{\if@openright\cleardoublepage\else\clearpage\fi
                    %\thispagestyle{plain}%
                    \global\@topnum\z@
                    \@afterindentfalse
                    \secdef\@chapter\@schapter}
\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne
                         \refstepcounter{chapter}%
                         %\typeout{\@chapapp\space\thechapter.}%
                         \addtocontents{toc}{\protect\addvspace{12\p@}}
                         \addcontentsline{toc}{chapter}%
                                   {\protect\numberline{\thechapter.}#1}%
                         \addtocontents{toc}{\protect\addvspace{12\p@}}
                    \else
                      
                      \addcontentsline{toc}{chapter}{#1}%
                    \fi
                    \chaptermark{#1}%
                    %\addtocontents{lof}{\protect\addvspace{0\p@}}%
                    %\addtocontents{lot}{\protect\addvspace{0\p@}}%
                    
                    \if@twocolumn
                      \@topnewpage[\@makechapterhead{#2}]%
                    \else
                      \@makechapterhead{#2}%
                      %\@afterheading
                    \fi}
\def\@makechapterhead#1{%
    \begin{center}
        \ifnum \c@secnumdepth >\m@ne
            \@chapapp\space \thechapter
            \par\nobreak
        \fi
        \interlinepenalty\@M
        \vskip 12\p@
        #1\par\nobreak
        \vskip 0\p@
    \end{center}
    
  }
\def\@schapter#1{\if@twocolumn
                   \@topnewpage[\@makeschapterhead{#1}]%
                 \else
                   \@makeschapterhead{#1}%
                   \@afterheading
                 \fi}
\def\@makeschapterhead#1{%
    \begin{center}
       \interlinepenalty\@M
        \vskip 12\p@
        #1\par\nobreak
        \vskip 0\p@
    \end{center}
    
  }
  
%\newcommand\section{\@startsection{section}{1}{\z@}%
%                                   {-3.5ex \@plus -1ex \@minus -.2ex}%
%                                   {2.3ex \@plus.2ex}%
%                                   {\underline}}
\newcommand\section{%
    \secdef\@section\@ssection
}
\def\@section[#1]#2{%
    \refstepcounter{section}%
    \addcontentsline{toc}{section}{\thesection\hspace{2em}{\sc#1}}%
   
    \markboth{}{}%
    {\centering
     \normalfont
     \underline{#2} \par
     \vspace{12pt}
     }%
 }
\def\@ssection#1{%
    {\centering
     \interlinepenalty \@M
     \normalfont
     \Huge \bfseries #1\par}%
    }
%\newcommand\subsection{\@startsection{subsection}{2}{\z@}%
%                                    {-3.25ex\@plus -1ex \@minus -.2ex}%
%                                    {1.5ex \@plus .2ex}%
%                                    {\underline}}
\newcommand\subsection{%
    \secdef\@subsection\@ssubsection
}
\def\@subsection[#1]#2{%
      \refstepcounter{subsection}%
     \addcontentsline{toc}{subsection}{\thesubsection\hspace{2em}#1}%
       \markboth{}{}%
    { \vspace{24pt} \noindent \underline{#2} \par}%
 }
\def\@ssubsection#1{%
    {\centering
     \interlinepenalty \@M
     \normalfont
     \Huge \bfseries #1\par}%
    }

\newcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}%
                                     {-3.25ex\@plus -1ex \@minus -.2ex}%
                                     {1.5ex \@plus .2ex}%
                                     {\normalfont\normalsize\bfseries}}
\newcommand\paragraph{\@startsection{paragraph}{4}{\z@}%
                                    {3.25ex \@plus1ex \@minus.2ex}%
                                    {-1em}%
                                    {\normalfont\normalsize}}
\newcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}%
                                       {3.25ex \@plus1ex \@minus .2ex}%
                                       {-1em}%
                                      {\normalfont\normalsize\bfseries}}
\setlength\leftmargini  {1.5in}
\setlength\leftmargini  {2.5em}
\setlength\leftmarginii  {2.2em}
\setlength\leftmarginiii {1.87em}
\setlength\leftmarginiv  {1.7em}
\setlength\leftmarginv  {1em}
\setlength\leftmarginvi {1em}

\setlength  \labelsep  {.5em}
\setlength  \labelwidth{\leftmargini}
\addtolength\labelwidth{-\labelsep}
\@beginparpenalty -\@lowpenalty
\@endparpenalty   -\@lowpenalty
\@itempenalty     -\@lowpenalty
\renewcommand\theenumi{\@arabic\c@enumi}
\renewcommand\theenumii{\@alph\c@enumii}
\renewcommand\theenumiii{\@roman\c@enumiii}
\renewcommand\theenumiv{\@Alph\c@enumiv}
\newcommand\labelenumi{\theenumi.}
\newcommand\labelenumii{(\theenumii)}
\newcommand\labelenumiii{\theenumiii.}
\newcommand\labelenumiv{\theenumiv.}
\renewcommand\p@enumii{\theenumi}
\renewcommand\p@enumiii{\theenumi(\theenumii)}
\renewcommand\p@enumiv{\p@enumiii\theenumiii}
\newcommand\labelitemi{\textbullet}
\newcommand\labelitemii{\normalfont\bfseries \textendash}
\newcommand\labelitemiii{\textasteriskcentered}
\newcommand\labelitemiv{\textperiodcentered}
\newenvironment{description}
               {\list{}{\labelwidth\z@ \itemindent-\leftmargin
                        \let\makelabel\descriptionlabel}}
               {\endlist}
\newcommand*\descriptionlabel[1]{\hspace\labelsep
                                \normalfont\bfseries #1}
\if@titlepage
  \newenvironment{abstract}{%
      \titlepage
      \null\vfil
      \@beginparpenalty\@lowpenalty
      \begin{center}%
        \bfseries \abstractname
        \@endparpenalty\@M
      \end{center}}%
     {\par\vfil\null\endtitlepage}
\else
  \newenvironment{abstract}{%
      \if@twocolumn
        \section*{\abstractname}%
      \else
        \small
        \begin{center}%
          {\bfseries \abstractname\vspace{-.5em}\vspace{\z@}}%
        \end{center}%
        \quotation
      \fi}
      {\if@twocolumn\else\endquotation\fi}
\fi
\newenvironment{verse}
               {\let\\\@centercr
                \list{}{\itemsep      \z@
                        \itemindent   -1.5em%
                        \listparindent\itemindent
                        \rightmargin  \leftmargin
                        \advance\leftmargin 1.5em}%
                \item\relax}
               {\endlist}
\newenvironment{quotation}
               {\list{}{\listparindent 1.5em%
                        \itemindent    \listparindent
                        \rightmargin   \leftmargin
                        \parsep        \z@ \@plus\p@}%
                \item\relax}
               {\endlist}
\newenvironment{quote}
               {\list{}{\rightmargin\leftmargin}%
                \item\relax}
               {\endlist}

\newenvironment{titlepage}
    {%
      \if@twocolumn
        \@restonecoltrue\onecolumn
      \else
        \@restonecolfalse\newpage
      \fi
      \thispagestyle{empty}%
      %%%%\setcounter{page}{1}
    }%
    {\if@restonecol\twocolumn \else \newpage \fi
     \if@twoside\else
        %%%%\setcounter{page}{1}
     \fi
    }

\newcommand\appendix{\par
  \setcounter{chapter}{0}%
  \setcounter{section}{0}%
  \gdef\@chapapp{\appendixname}%
  \gdef\thechapter{\@Alph\c@chapter}}
\setlength\arraycolsep{5\p@}
\setlength\tabcolsep{6\p@}
\setlength\arrayrulewidth{.4\p@}
\setlength\doublerulesep{2\p@}
\setlength\tabbingsep{\labelsep}
\skip\@mpfootins = \skip\footins
\setlength\fboxsep{3\p@}
\setlength\fboxrule{.4\p@}
\@addtoreset {equation}{chapter}
\renewcommand\theequation
  {\ifnum \c@chapter>\z@ \thechapter.\fi \@arabic\c@equation}
\newcounter{figure}
\renewcommand \thefigure
     {\@arabic\c@figure}
\def\fps@figure{tbp}
\def\ftype@figure{1}
\def\ext@figure{lof}
\def\fnum@figure{\figurename~\thefigure:}
\newenvironment{figure}
               {\@float{figure}}
               {\end@float}
\newenvironment{figure*}
               {\@dblfloat{figure}}
               {\end@dblfloat}
\newcounter{table}
\renewcommand \thetable
     {\@arabic\c@table}
\def\fps@table{tbp}
\def\ftype@table{2}
\def\ext@table{lot}
\def\fnum@table{\tablename~\thetable:}
\newenvironment{table}
               {\@float{table}}
               {\end@float}
\newenvironment{table*}
               {\@dblfloat{table}}
               {\end@dblfloat}
\newlength\abovecaptionskip
\newlength\belowcaptionskip
\setlength\abovecaptionskip{10\p@}
\setlength\belowcaptionskip{0\p@}
\long\def\@makecaption#1#2{%
  \vskip\abovecaptionskip
  \sbox\@tempboxa{#1 #2}%
  \ifdim \wd\@tempboxa >\hsize
    #1 #2\par
  \else
    \global \@minipagefalse
    \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}%
  \fi
  \vskip\belowcaptionskip}
\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}
\newcommand\@pnumwidth{1.55em}
\newcommand\@tocrmarg{2.55em}
\newcommand\@dotsep{4.5}
\setcounter{tocdepth}{2}
\newcommand\tableofcontents{%
\setlength{\baselineskip}{12pt}
    \if@twocolumn
      \@restonecoltrue\onecolumn
    \else
      \@restonecolfalse
    \fi
    \chapter*{\contentsname
        \@mkboth{%
           \MakeUppercase\contentsname}{\MakeUppercase\contentsname}}%
    \@starttoc{toc}%
    \if@restonecol\twocolumn\fi
    \setlength{\baselineskip}{24pt}
    }
\newcommand*\l@part[2]{%
  \ifnum \c@tocdepth >-2\relax
    \addpenalty{-\@highpenalty}%
    \addvspace{2.25em \@plus\p@}%
    \begingroup
      \parindent \z@ \rightskip \@pnumwidth
      \parfillskip -\@pnumwidth
      {\leavevmode
       \large #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par
	       %this  \bfseries actually makes the toc page 'appendices appear aas bold
%       \large \bfseries #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par 
       \nobreak
         \global\@nobreaktrue
         \everypar{\global\@nobreakfalse\everypar{}}%
    \endgroup
  \fi}

%\newcommand*\l@chapter[2]{%
%  \ifnum \c@tocdepth >\m@ne
%    \addpenalty{-\@highpenalty}%
%    \vskip 1.0em \@plus\p@
%    \setlength\@tempdima{1.5em}%
%    \begingroup
%      \parindent \z@ \rightskip \@pnumwidth
%      \parfillskip -\@pnumwidth
%      \leavevmode 
%      \advance\leftskip\@tempdima
 %     \hskip -\leftskip
%      #1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par
%      \penalty\@highpenalty
%    \endgroup
%  \fi}

\newcommand*\l@chapter{\@dottedtocline{0}{0em}{1.5em}}
\newcommand*\l@section{\@dottedtocline{1}{1.5em}{2.3em}}
\newcommand*\l@subsection{\@dottedtocline{2}{3.8em}{3.2em}}
\newcommand*\l@subsubsection{\@dottedtocline{3}{7.0em}{4.1em}}
\newcommand*\l@paragraph{\@dottedtocline{4}{10em}{5em}}
\newcommand*\l@subparagraph{\@dottedtocline{5}{12em}{6em}}
\newcommand\listoffigures{%
    \if@twocolumn
      \@restonecoltrue\onecolumn
    \else
      \@restonecolfalse
    \fi
    \chapter*{\listfigurename
      \@mkboth{\MakeUppercase\listfigurename}%
              {\MakeUppercase\listfigurename}}%
    \addtocontents{toc}{\protect\addvspace{12\p@}}
    \addcontentsline{toc}{chapter}{LIST OF FIGURES}
    \@starttoc{lof}%
    %\addtocontents{lof}{\protect\addvspace{0\p@}}
    \addtocontents{lof}{\protect\hbox{\hspace{-0.1in}Figure\hspace{5.27in}Page}}%
    \if@restonecol\twocolumn\fi
    }
\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
\newcommand\listoftables{%
    \if@twocolumn
      \@restonecoltrue\onecolumn
    \else
      \@restonecolfalse
    \fi
    \chapter*{\listtablename
      \@mkboth{%
          \MakeUppercase\listtablename}{\MakeUppercase\listtablename}}%
    \addtocontents{toc}{\protect\addvspace{12\p@}}
    \addcontentsline{toc}{chapter}{LIST OF TABLES}
    \@starttoc{lot}%
    \addtocontents{lot}{\protect\hbox{\hspace{-0.0in}Table\hspace{5.27in}Page}}%
    \if@restonecol\twocolumn\fi
    }
\let\l@table\l@figure
\newdimen\bibindent
\setlength\bibindent{1.5em}
\newenvironment{thebibliography}[1]
     {\chapter*{\bibname
        \@mkboth{\MakeUppercase\bibname}{\MakeUppercase\bibname}}%
        \addtocontents{toc}{\protect\addvspace{12\p@}}
        \addcontentsline{toc}{chapter}{REFERENCES CITED}
      \list{\@biblabel{\@arabic\c@enumiv}}%
           {\settowidth\labelwidth{\@biblabel{#1}}%
            \leftmargin\labelwidth
            \advance\leftmargin\labelsep
            \@openbib@code
            \usecounter{enumiv}%
            \let\p@enumiv\@empty
            \renewcommand\theenumiv{\@arabic\c@enumiv}}%
      \sloppy
      \clubpenalty4000
      \@clubpenalty \clubpenalty
      \widowpenalty4000%
      \sfcode`\.\@m}
     {\def\@noitemerr
       {\@latex@warning{Empty `thebibliography' environment}}%
      \endlist}
\newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em}
\let\@openbib@code\@empty
\newenvironment{theindex}
               {\if@twocolumn
                  \@restonecolfalse
                \else
                  \@restonecoltrue
                \fi
                \columnseprule \z@
                \columnsep 35\p@
                \twocolumn[\@makeschapterhead{\indexname}]%
                \@mkboth{\MakeUppercase\indexname}%
                        {\MakeUppercase\indexname}%
                \thispagestyle{plain}\parindent\z@
                \parskip\z@ \@plus .3\p@\relax
                \let\item\@idxitem}
               {\if@restonecol\onecolumn\else\clearpage\fi}
\newcommand\@idxitem{\par\hangindent 40\p@}
\newcommand\subitem{\@idxitem \hspace*{20\p@}}
\newcommand\subsubitem{\@idxitem \hspace*{30\p@}}
\newcommand\indexspace{\par \vskip 10\p@ \@plus5\p@ \@minus3\p@\relax}
\renewcommand\footnoterule{%
  \kern-3\p@
  \hrule\@width.4\columnwidth
  \kern2.6\p@}
\@addtoreset{footnote}{chapter}
\newcommand\@makefntext[1]{%
    \parindent 1em%
    \noindent
    \hb@xt@1.8em{\hss\@makefnmark}#1}
\newcommand\contentsname{TABLE OF CONTENTS}
\newcommand\listfigurename{LIST OF FIGURES}
\newcommand\listtablename{LIST OF TABLES}
\newcommand\bibname{REFERENCES CITED}
\newcommand\indexname{INDEX}
\newcommand\figurename{Figure}
\newcommand\tablename{Table}
\newcommand\partname{Part}
\newcommand\chaptername{CHAPTER}
\newcommand\appendixname{APPENDIX}
\newcommand\abstractname{ABSTRACT}
\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}
\setlength\columnsep{10\p@}
\setlength\columnseprule{0\p@}
\pagestyle{plain}
\pagenumbering{arabic}
\if@twoside
\else
  \raggedbottom
\fi
\if@twocolumn
  \twocolumn
  \sloppy
  \flushbottom
\else
  \onecolumn
\fi
%% begin theorem def
\def\newtheorem#1{%
  \@ifnextchar[{\@othm{#1}}{\@nthm{#1}}}
\def\@nthm#1#2{%
  \@ifnextchar[{\@xnthm{#1}{#2}}{\@ynthm{#1}{#2}}}
\def\@xnthm#1#2[#3]{%
  \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{end#1}{\@endtheorem}}}
\def\@ynthm#1#2{%
  \expandafter\@ifdefinable\csname #1\endcsname
    {\@definecounter{#1}%
     \expandafter\xdef\csname the#1\endcsname{\@thmcounter{#1}}%
     \global\@namedef{#1}{\@thm{#1}{#2}}%
     \global\@namedef{end#1}{\@endtheorem}}}
\def\@othm#1[#2]#3{%
  \@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{end#1}{\@endtheorem}}}}
\def\@thm#1#2{%
  \refstepcounter{#1}%
  \@ifnextchar[{\@ythm{#1}{#2}}{\@xthm{#1}{#2}}}
\def\@xthm#1#2{%
  \@begintheorem{#2}{\csname the#1\endcsname}\ignorespaces}
\def\@ythm#1#2[#3]{%
  \@opargbegintheorem{#2}{\csname the#1\endcsname}{#3}\ignorespaces}
\def\@thmcounter#1{\noexpand\arabic{#1}}
\def\@thmcountersep{.}
\def\@begintheorem#1#2{\trivlist
   \item[\hskip \labelsep{\bfseries #1\ #2.}]\itshape} %%%%added .
\def\@opargbegintheorem#1#2#3{\trivlist
      \item[\hskip \labelsep{\bfseries #1\ #2\ (#3).}]\itshape} %%%%added .
\def\@endtheorem{\endtrivlist}
%%end theorem def
%\def\addcontentsline#1#2#3{%
%\def\ch{chapter}
%\if\ch#2
%    \addtocontents{#1}{12pt}
%\else
%    \addtocontents{#1}{:#2:}
%\fi
%\addtocontents{#1}{\protect\contentsline{#2}{#3}{\thepage}}}
\endinput
%%
%% End of file `report.cls'.