% ttuthesis.sty      Maintained by Rafal Ablamowicz, Department of Mathematics, Tennessee Tech
%                    (931) 372-3662, rablamowicz@tntech.edu                      
%
% Last edit:
%      
%    o December 3, 2007       Rafal Ablamowicz
%      Fixed a bug in \label and \ref commands. That is, when trying to refer to a section or a subsection with \ref{sectlabel} 
%      or \ref{subsectlabel} after \label{sectlabel} has been added to a section or \label{subsectlabel} has been added to a
%      subsection, after processing thesis.tex, only a current chapter number was showing up in the text and not the expected
%      section or subsection number.  
%
%    o November 25, 2005      Rafal Ablamowicz
%      Added appropriate headers to List of Figures, Symbols, etc. so that , for example, Figure and Page
%      will appear on each page per Graduate School requirement
%
%    o November 21, 2005      Rafal Ablamowicz
%      Subsection number counter was not advancing properly. \addtocounter{subsection}{1} has been added
%      to the definition of \subsection and it works properly now. Subsection numbers show up in TOC now
%      and they advance properly by one. Also, \setcounter{subsection}{0} is reset at the beginning of each 
%      section for proper numbering of sections.
%
%    o April 23, 2003         Rafal Ablamowicz    
%      New logical switch \ifsectionnumbers allows the user to select printing or not printing section
%      and subsection numbers by including \sectionnumberstrue or \sectionnumbersfalse in thesis.tex file.
%      Per TTU Graduate School, subsubsections are not supposed to be used. When used, however, the default
%      that cannot be changed is not to have numbers in front ot subsubsection titles.
%
%    o December 3, 2003		Rafal Ablamowicz
%      To accommodate requirements of the Graduate School per Shelia Kendrick as of 12/1/2003 such as:
%      (a) Name of the graduate dean must appear under his signature line on approval page. The name
%          of the current dean can be changed in Thesis.tex preamble as variable \deansname
%      (b) Names of Graduate Committee chair, co-chair (if present), and members must appear under their
%          signature lines on approval page. These names can be changed in Thesis.tex preamble by the thesis
%          author.
%      (c) On all Roman numbered pages, e.g., Table of Contents, the Graduate School wants all page numbers to 
%          appear at the bottom middle of each page. Until now, they appeared only on the first page at
%          the bottom but if TOC was longer than one page, the following pages had the number printed in
%          the right upper corner.
%
%    o April 25, 2003 Rafal Ablamowicz
%      Remove a hyphen in Vice-President per Shelia Kendrick
%
%    o March 28, 2002           Sasha Shibakov/Rafal Ablamowicz
%      Modified new command \section command so that section and subsection numbers would appear
%      in the TOC and in the sections/subsections themselves.
%
%    o January 30, 2002         Rafal Ablamowicz
%      To accommodate requirements of the Graduate School per Shelia Kendrick as of 1/22/2002 such as:
%      (a) Title must be in inverted pyramid format (this must be controlled by the dissertation author).
%      (b) Extra spaces added between the title, the name, etc. on the title page.
%      (c) Dedication must be vertically centered on page (iv).
%      (d) Acknowledgments must appear only 1 inch below the top margin on page (v).
%      (e) In the Table of Contents there can only be at most level 2 subheadings. This means that
%          commands \subsection and \subsubsection cannot be used in the text.
%      (f) In the Table of Contents title of an appendix should appear as "A: SOME FORMULAS"
%      (g) In the Table of Contents word ``VITA'' is to be used instead of word ``RESUME''.
%      (h) In the body of the thesis, figures and tables must appear at the top or bottom of a page.
%          This is controlled by the option [tb] in the figure and table environments.
%      (i) Words ``Figure'', ``Equation'', ``Table'' where referring to a specific figure, equation or
%          table, e.g., Figure (3.1), must be capitalized.
%
%
%    o January 22, 2002         Rafal Ablamowicz
%      Modified \appendix environment so that word "APPENDIX" does appear in the
%      appendix title when the appendix title page is printed but it does not appear
%      in the Table of Contents where only letters A, B, C, etc. would appear instead
%      of full name "APPENDIX A", "APPENDIX B", "APPENDIX C", etc.
%      
%    o January 22, 2002         Rafal Ablamowicz 
%      Removed printing of duplicate word "Chapter" in the Table of Contents when no
%      page of tables, no page of figures, and no pages of symbols was printed
%
%    o December 3, 2001,        Rafal Ablamowicz
%      Changed "Dean of Graduate Studies" on the certificate page to
%      "Associate Vice-President for Research and Graduate Studies"  
%
%    o September 21, 2000       Rafal Ablamowicz
%      Rather than using \include{...} command to include dedication.tex and
%      preface.tex, user can now decide whether to print page of dedications
%      and/or page of acknowledgments by using the switches \dedicationpage
%      and \acknowledgmentspage. This gives correct 1 inch bottom margin
%      on these two optional pages, while command \include gives wrong
%      bottom margin.
%      Commands \dedicationpage and \acknowledgmentspage take now one parameter in
%      which determines the distance from the top of the page where words
%      DEDICATION and ACKNOWLEDGMENTS are printed. This distance is controlled now
%      by the user in the Thesis.tex file.
%     
%    o June 8, 2000             Mike Baswell and Rafal Ablamowicz
%      Co-chair line option added to the Graduate Committee if
%      \cochair=1 is set in Thesis.tex file; default is \cochair=0
%      for no co-chair.
%
%    o June 8, 2000             Mike Baswell and Rafal Ablamowicz
%      Changed value \vspace*{10pt} to \vspace*{-12pt} to reduce vertical space
%      below "TABLE OF CONTENTS", "LIST OF TABLES", and "LIST OF FIGURES" 
%      which has seemed much too large with \vspace*{10pt}
%
%    o June 8, 2000             Mike Baswell and Rafal Ablamowicz
%      Changed \textheight 8.25in to \textheight 7.75in in pages with:
%      "TABLE OF CONTENTS", "LIST OF TABLES", and "LIST OF FIGURES"
%      because the bottom margin was too small
%
%    o June 8, 2000             Mike Baswell and Rafal Ablamowicz
%      Added \input dedication after "Permission to Use" page as an optional
%      input page to dedicate thesis/dissertation; may be commented out
% 
%    o June 8, 2000             Mike Baswell and Rafal Ablamowicz
%      Input file names changed to more natural as follows:
%
%      prefac.tex      changed to preface.tex
%      append.tex      changed to appendix.tex
%      symbol.tex      changed to symbols.tex
%      reference.tex   changed to references.tex
%
%    o August 31, 1994          Paul J. Tsai
%      Add \graduatemonth and modify \graduatedate.
%      All divided pages, such as appendix and references, are in bold face.

      
\long\def\comment#1{}
\hbadness=10000
\oddsidemargin 0.5in \evensidemargin 0.5in
\textwidth 6truein
\topmargin -0.25in
\headheight 12pt
\headsep 20pt
\textheight 8.4in
\footskip 0.3in     
\topskip 0pt
\parindent 3em						       
\def\setstretch#1{\renewcommand{\baselinestretch}{#1}} 
   \def\@setsize#1#2#3#4{\@nomath#1                                              
   \let\@currsize#1\baselineskip                                               
   #2\baselineskip\baselinestretch\baselineskip                                
   \parskip\baselinestretch\parskip                                            
   \setbox\strutbox\hbox{\vrule height.7\baselineskip                          
      depth.3\baselineskip width\z@}                                          
   \normalbaselineskip\baselineskip#3#4} 
   \def\@xfloat#1[#2]{\ifhmode \@bsphack\@floatpenalty -\@Mii\else                
   \@floatpenalty-\@Miii\fi\def\@captype{#1}\ifinner                           
      \@parmoderr\@floatpenalty\z@                                             
    \else\@next\@currbox\@freelist{\@tempcnta\csname ftype@#1\endcsname        
       \multiply\@tempcnta\@xxxii\advance\@tempcnta\sixt@@n                    
       \@tfor \@tempa :=#2\do                                                  
			{\if\@tempa h\advance\@tempcnta \@ne\fi                
			 \if\@tempa t\advance\@tempcnta \tw@\fi                
			 \if\@tempa b\advance\@tempcnta 4\relax\fi             
			 \if\@tempa p\advance\@tempcnta 8\relax\fi             
	 }\global\count\@currbox\@tempcnta}\@fltovf\fi                         
    \global\setbox\@currbox\vbox\bgroup                                        
    \def\baselinestretch{1}\small\normalsize                                   
    \boxmaxdepth\z@                                                            
    \hsize\columnwidth \@parboxrestore}                                        
\long\def\@footnotetext#1{\insert\footins{\def\baselinestretch{1}
    \footnotesize\interlinepenalty\interfootnotelinepenalty
    \splittopskip\footnotesep                                                  
    \splitmaxdepth \dp\strutbox \floatingpenalty \@MM                          
    \hsize\columnwidth \@parboxrestore                                         
   \edef\@currentlabel{\csname p@footnote\endcsname\@thefnmark}\@makefntext    
    {\rule{\z@}{\footnotesep}\ignorespaces                                     
      #1\strut}}}                                                                                                                          
\def\singlespace{                                                            
\vskip\parskip                                                                
\vskip\baselineskip                                                           
\def\baselinestretch{1}                                                       
\ifx\@currsize\normalsize\@normalsize\else\@currsize\fi                       
\vskip-\parskip                                                               
\vskip-\baselineskip                                                          
}                                                                                   
\def\endsinglespace{\par}								
\def\doublespacing{                                                             
\vskip\parskip                                                            
\vskip\baselineskip                                                           
\def\baselinestretch{1.655}                                                     
\ifx\@currsize\normalsize\@normalsize\else\@currsize\fi                      
\vskip-\parskip                                                           
\vskip-\baselineskip                                                          
}                                                                              
\def\enddoublespacing{\par}                                                                                                               
\def\spacing#1{\par                                                      
 \def\baselinestretch{#1}                                                     
 \ifx\@currsize\normalsize\@normalsize\else\@currsize\fi}                      
\def\endspacing{\par                                                          
\vskip \parskip                                                             
\vskip \baselineskip                                                         
\endgroup                                                              
\vskip -\parskip                                                         
\vskip -\baselineskip                                                        
\begingroup}
\def\onehalfspace{\spacing{1.5}}                                               
\let\endonehalfspace=\endspacing
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%                                                           
\everydisplay{                                                                 
   \abovedisplayskip 4ex plus .2ex                     
   \belowdisplayskip \abovedisplayskip                                                  
   \abovedisplayshortskip 4ex plus .2ex                
   \belowdisplayshortskip  \abovedisplayshortskip}             
\doublehyphendemerits=100000     % No consecutive line hyphens
\brokenpenalty=10000             % No broken words across columns/pages
\widowpenalty=10000              % No orphans at bottom of page
\clubpenalty=10000               % No widows at top of page
\setstretch{1.655}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\report#1{\gdef\@report{#1}}
   \def\@report{Thesis}
\def\TTU{TENNESSEE TECHNOLOGICAL UNIVERSITY}
\def\ttu{Tennessee Technological University}
\def\department#1{\gdef\@department{#1}}
   \def\@department{Department of Mathematics}
\def\degree#1{\gdef\@degree{#1}}
   \def\@degree{Master of Arts}
\def\graduatemonth#1{\gdef\@graduatemonth{#1}}
   \def\@graduatemonth{September}
\def\graduateyear#1{\gdef\@graduateyear{#1}}
   \def\@graduateyear{2005}
\def\graduatedate#1{\gdef\@graduatedate{#1}}
   \def\@graduatedate{\@graduatemonth\ \@graduateyear}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcount\committee \committee=3
\newcount\cochair   \cochair=1       %Added by Rafal Ablamowicz 6/8/2000
\newcount\captiontype \captiontype=1 
\newif\ifcopyrightpage 
\newif\iffigurespage 
\newif\iftablespage 
\newif\ifsymbolpage
\newif\ifpermissionpage
\newif\ifdedicationpage       %9/21/2000 R.Ablamowicz
\newif\ifacknowledgmentspage  %9/21/2000 R.Ablamowicz
\newif\ifsectionnumbers
\permissionpagetrue  
\copyrightpagefalse    
\figurespagetrue     
\tablespagetrue     
\symbolpagetrue
\sectionnumberstrue
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\symbolfile#1{\gdef\@symfile{#1}}
\def\@symfile{symbol}     
\def\approvalskip#1{\gdef\@pprovalskip{#1}}
\def\@pprovalskip{\ifnum\committee<3 1.35\baselineskip
		   \else \baselineskip \fi}
\leftmargini 4.4em
\leftmarginii 2.2em     % > \labelsep + width of '(m)'
\leftmarginiii 1.87em   % > \labelsep + width of 'vii.'
\leftmarginiv 1.7em     % > \labelsep + width of 'M.'
\leftmarginv 1em
\leftmarginvi 1em
\leftmargin\leftmargini
\labelsep .5em
\labelwidth\leftmargini\advance\labelwidth-\labelsep
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\@listI{\leftmargin\leftmargini \parsep \z@ \topsep \z@ \itemsep \parsep}
\let\@listi\@listI
\@listi 
\def\@listii{\leftmargin\leftmarginii
   \labelwidth\leftmarginii\advance\labelwidth-\labelsep
    \topsep \z@ \parsep \z@ \itemsep \parsep}
\def\@listiii{\leftmargin\leftmarginiii
    \labelwidth\leftmarginiii\advance\labelwidth-\labelsep
    \topsep \z@ \parsep \z@ \partopsep 1pt plus 0pt minus 1pt
    \itemsep \topsep}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%    
\def\titlep{
    \thispagestyle{empty}
    \vspace*{-25pt}
    \noindent
	\def\baselinestretch{1.6}
    \begin{center} 
    \bf    \uppercase\expandafter{\@title} 
    \end{center}
	 \vfill
  \hfil     \hbox{\vrule width 1.75in height 0.02in} \hfil
	\vfill
    \begin{center}
	A \@report \\
	Presented to \\
	the Faculty of the Graduate School \\
	\ttu \\
	by \\
	\@author 
     \end{center}
	\vfill
  \hfil     \hbox{\vrule width 1.75in height 0.02in} \hfil
	\vfill
    \begin{center}
	In Partial Fulfillment \\
	of the Requirements for the Degree \\
	{\uppercase\expandafter{\@degree}} \\
	\@department 
     \end{center}
	\vfill
  \hfil     \hbox{\vrule width 1.75in height 0.02in} \hfil
	\vfill
    \begin{center}
	 \@graduatedate
    \end{center}
     \newpage}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\gdef\copyrightpage{%
 \ifcopyrightpage
    \thispagestyle{empty}
    \vspace*{1pt}
    \vfill
    \noindent
	\def\baselinestretch{1.6}
    \begin{center}
    Copyright \copyright\  {\bf \@author}, \@graduateyear \\
	    All rights reserved
    \end{center}
	 \vfill
     \newpage
  \fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%This new counter is needed to display names of committee members properly by \memberlong
\newcounter{numb}
\setcounter{numb}{0}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\global\newcommand{\approvalpage}[7]{
\vspace*{-25pt}
\begin{center}
\bf CERTIFICATE OF APPROVAL OF \uppercase\expandafter{\@report}\\[\baselineskip]
{\uppercase\expandafter{\@title}}\\
by \\
\@author
\end{center}
\vfill
\advance\committee by -3%in order to use \ifcase  
\global\def\chairlong{
\hbox to 3.5in{\shortstack[l]{\vrule width 2.4in height 0.01in \\ \gradcommitteechair, Chairperson}
  \shortstack{\vrule width 1in height 0.01in \\ date}}
} 
\global\newcommand{\memberlong}[7]{
\hbox to 3.5in{\shortstack[l]{\vrule width 2.4in height 0.01in \\ 
                \ifcase\thenumb\hbox{#1}\or\hbox{#2}\or\hbox{#3}\or\hbox{#4}\or\hbox{#5}\or\hbox{#6}\or\hbox{#7}\fi}
 \shortstack{\vrule width 1in height 0.01in \\ date}}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%The following added by Rafal Ablamowicz 6/8/2000 \ifnum\thenumb=1\hbox{#1}\else\hbox{#2}\fi
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\cochairlong{
\hbox to 3.5in{\shortstack[l]{\vrule width 2.4in height 0.01in \\ \gradcommitteecochair, Co-Chair}
 \shortstack{\vrule width 1in height 0.01in \\ date}} 
}
   Graduate Advisory Committee: \\[\@pprovalskip]
  \chairlong  \\[\@pprovalskip]
\ifcase\cochair%for \cochair=0
       \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb} \\[\@pprovalskip] %%use this line if no co-chair is needed
\or%for \cochair=1
       \cochairlong \\[\@pprovalskip]     %%use this line if co-chair is needed
\else
   \typeout{*******************************************************************}
   \typeout{*** Set \cochair=1 in Thesis.tex if co-chair line is needed     ***}
   \typeout{*** set \cochair=0 in Thesis.tex if no co-chair line is needed. ***}
   \typeout{*******************************************************************}
{\bf Set cochair=1 in Thesis.tex if co-chair line is needed}\\
{\bf or set cochair=0 in Thesis.tex if no co-chair line is needed.}\\
{\bf For more help contact Dr. Rafal Ablamowicz, Department of Mathematics, TTU.}\\
\fi
\ifcase\committee%for \committee=3
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb} \\
\or%for \committee=4
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb} \\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb} \\
\or%for \committee=5
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb} \\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb} \\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb} \\
\or%for \committee=6
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\
\or%for \committee=7
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\
\or%for \committee=8
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\[\@pprovalskip]
  \memberlong{1}{2}{3}{4}{5}{6}{7} \stepcounter{numb}\\
\else
   \typeout{*******************************************************************}
   \typeout{*** See Dr. Ablamowicz for committee members more than 8.       ***}
   \typeout{*******************************************************************}
{\large \bf See Dr. Ablamowicz for committee members more than 8.}\\
\fi
\vfill

\hfill \ \
\begin{minipage}[t]{2.5in}
Approved for the Faculty: \\[\@pprovalskip]
\hbox to 2.5in{\shortstack[l]{\vrule width 2.5in height 0.01in \\
      \deansname\\ 
      Associate Vice-President for\\
      Research and Graduate Studies}} \\[\@pprovalskip]
\hbox to 2.5in{\shortstack[l]{\vrule width 2.5in height 0.01in \\ 
      Date}} 
\end{minipage}
%%%%%%%%%%%%%%%%%%%%%% 
\newpage}
\def\abstract{\singlespace \thispagestyle{empty}\c@page\@ne
\vspace*{-25pt}
\begin{center}
\bf AN ABSTRACT OF A \uppercase\expandafter{\@report}\\ [2\baselineskip] %controls amount of skip
{ \uppercase\expandafter{\@title}} \\[2\baselineskip]
\@author \\[2\baselineskip]
\@degree\ in \@department \\[\baselineskip]
\end{center}
\singlespace \parskip 1.6ex plus .1ex \par}
\def\endabstract{\newpage}
\def\beforepreface{
	\pagenumbering{roman}
	\pagestyle{plain}
	\titlep
	\copyrightpage 
	\approvalpage{\memberB}{\memberC}{\memberD}{\memberE}{\memberF}{\memberG}{\memberH}}    
\def\preface#1{\chapter*{#1}}
\gdef\permissionpage{
 \ifpermissionpage
   \preface{STATEMENT OF PERMISSION TO USE}
   In presenting this thesis in partial fulfillment of the requirements for a 
   \@degree\  degree at Tennessee Technological University, I agree that the 
   University Library shall make it available to borrowers under rules of the 
   Library.  Brief quotations from this thesis are allowable without special 
   permission, provided that accurate acknowledgment of the source is made.

   Permission for extensive quotation from or reproduction of this thesis may
   be granted by my major professor when the proposed use of the material is 
   for scholarly purposes. Any copying or use of the material in this thesis
   for financial gain shall not be allowed without my written permission.
   \\[2\baselineskip]
   Signature {\vrule  width 2.26in height 0.01in depth 0pt} \\
   Date {\vrule width 2.6in height 0.01in}\\ 
 \fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%The following definition lowers words DEDICATION and ACKNOWLEDGMENTS (R. Ablamowicz 9/21/00)
\def\lowchapterttitle#1#2{\chapter*{\vspace*{#2} #1}}
\def\vcenterchaptertitle#1{\chapter*{\vfill #1}}      %%For vcentered text on dedication page
\def\normalchaptertitle#1{\chapter*{#1}}              %%For acknowledgment page
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%Definition of the dedication page by R. Ablamowicz, January 30, 2002
%%%%%Text on the dedication page is now vertically centered
\gdef\dedicationpage{%
 \ifdedicationpage
   \textheight 8.4in
   \newpage
   \vcenterchaptertitle{DEDICATION}
   \input{dedication}
  \vfill
  \eject
\fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%Definition of the acknowledgments page by R. Ablamowicz, January 30, 2002
\gdef\acknowledgmentspage{%
 \ifacknowledgmentspage
   \textheight 8.4in
   \newpage
   \preface{ACKNOWLEDGMENTS}
   \input{preface}
  \vfill
\fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%Definition of the acknowledgments page by R. Ablamowicz, September 21, 2000
%\gdef\acknowledgmentspage#1{%
% \ifacknowledgmentspage
%   \textheight 8.4in
%   \newpage
%   \lowchapterttitle{ACKNOWLEDGMENTS}{#1}
%   \vspace*{-0.25in}
%   \input{preface}
%  \vfill
%\fi}

%%%%%%%% End of Permission, Dedication, and Acknowledgments pages.   9/21/00R. Ablamowicz %%%
\def\tocheader#1{\gdef\@tocheader{#1}}
   \def\@tocheader{Chapter}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\afterpreface{
	       \newpage
	       \textheight 8.4in
             \def\ps@headings{\let\@mkboth\@gobbletwo%only used by headings
		 \headheight 48pt   
		 \headsep 24pt     
		 \def\@oddfoot{} \def\@evenfoot{}
		 \def\@oddhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
				     \hbox to \textwidth{\@tocheader \hfil Page}}}
		 \def\@evenhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
				     \hbox to \textwidth{\@tocheader \hfil Page}} }
		}
		\def\ps@myheadings{\let\@mkboth\@gobbletwo
		  \headheight 12pt 
		  \headsep 20pt    % \thispagestyle{myheadings}
		  \def\@oddhead{}  \def\@evenhead{}  %1st page of toc,lot,lof
		  \def\@oddfoot{\hbox{}\sl\rightmark \hfil \rm\thepage \hfil}
		  \def\@evenfoot{\hbox{}\sl\rightmark \hfil \rm\thepage \hfil}}
	        \pagestyle{headings}  %%Changed by R. Ablamowicz to 'plain' on 12-01-03
                %\pagestyle{plain}
                \tableofcontents         
	\iftablespage
	       \textheight 8.4in
	       \newpage
	       \textheight 7.75in  
	       \def\ps@headings{\let\@mkboth\@gobbletwo
		 \headheight 48pt    %8/26/94 16pt%8/10/94 48pt
		 \headsep 24pt       %8/10/94 28pt
		 \def\@oddfoot{} \def\@evenfoot{}
		 \def\@oddhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				      \vspace*{24pt}
				      \hbox to \textwidth{Table \hfil Page}}}
		 \def\@evenhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				      \vspace*{24pt}
				      \hbox to \textwidth{Table \hfil Page}} }
		 }
            \pagestyle{headings}%%Changed by R. Ablamowicz to 'plain' on 12-01-03
            \pagestyle{plain}
		\listoftables
	\fi

	\iffigurespage
	       \textheight 8.4in
	       \newpage
	       \textheight 7.75in 
	       \def\ps@headings{\let\@mkboth\@gobbletwo
		 \headheight 48pt
		 \headsep 20pt  
		 \def\@oddfoot{} \def\@evenfoot{}
		 \def\@oddhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
				     \hbox to \textwidth{Figure \hfil Page}}}
		 \def\@evenhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
				     \hbox to \textwidth{Figure \hfil Page}} }
		  }

	       \pagestyle{headings}%%Changed by R. Ablamowicz to 'plain' on 12-01-03
               \pagestyle{plain}
             \listoffigures
	\fi
	\ifsymbolpage
	       \textheight 8.4in
	       \newpage
	       \textheight 8.25in   
	       \def\ps@headings{\let\@mkboth\@gobbletwo
		 \headheight 48pt    
		 \headsep 20pt       
		 \def\@oddfoot{} \def\@evenfoot{}
		 \def\@oddhead{\vbox{\hbox to \textwidth{\hfil \thepage}
		 		     \vspace*{24pt}}}
		 \def\@evenhead{\vbox{\hbox to \textwidth{\hfil \thepage}
		 		     \vspace*{24pt}}}
		 }
	       \pagestyle{headings}%%Changed by R. Ablamowicz to 'plain' on 12-01-03
               \pagestyle{plain}
		 \listofsymbols 
		 \input \@symfile
	\fi
\iftablespage
    \addtocontents{toc}{\vskip\parskip\vskip\baselineskip
    \hbox to \textwidth{Chapter \hfill \mbox{}}}
\else
    \iffigurespage
         \addtocontents{toc}{\vskip\parskip\vskip\baselineskip
	   \hbox to \textwidth{Chapter \hfill \mbox{}}}
    \else
         \ifsymbolpage
              \addtocontents{toc}{\vskip\parskip\vskip\baselineskip
              \hbox to \textwidth{Chapter \hfill \mbox{}}}
         \fi
    \fi
\fi

	\textheight 8.4in     
	\ttutext%}            
    }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\triplespace{4ex plus .2ex minus .1ex}
\def\doublespace{1.3ex plus .1ex}
\def\@chapapp{CHAPTER}%TTU thesis manual 6th edition

\setcounter{tocdepth}{3}%including subsubsection
\def\numberline#1{\hskip -2.1em \hbox to \@tempdima{\hfil #1}\hskip 1.2em
		  \advance \leftskip by 2.1em}
\def\@dottedtocline#1#2#3#4#5{
    \ifnum #1>\c@tocdepth
    \else
	 \vskip\baselineskip

       {\leftskip #2\relax \rightskip \@tocrmarg 
%\spaceskip 0.3333em \xspaceskip 0.5em %\pretolerance=-1 \tolerance=10000
 \parfillskip -\rightskip \nohyphen
	  \parindent #2\relax \@afterindenttrue \interlinepenalty \@M
	  \leavevmode \@tempdima #3\relax \advance \leftskip \@tempdima
	  \hbox {}\hskip -\leftskip #4 \nobreak
	  \leaders \hbox {$\m@th \mkern \@dotsep mu.\mkern \@dotsep mu$}\hfill
	  \nobreak \hbox to \@pnumwidth {\hfil \rm #5}\par}\fi}

\def\l@text{\@dottedtocline{0}{0em}{0em}}
\def\l@chapter{\@dottedtocline{0}{1.8em}{1.8em}}
\def\l@section{\@dottedtocline{1}{5.7em}{1.2em}}
\def\l@subsection{\@dottedtocline{2}{6.7em}{1.2em}}
\def\l@subsubsection{\@dottedtocline{3}{7.7em}{1.2em}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\tableofcontents{\@restonecolfalse
    \if@twocolumn\@restonecoltrue\onecolumn \fi
    \chapterc*{TABLE OF CONTENTS \@mkboth{\@tocheader}{Page}}
    \vspace*{-12pt}   %Changed by Rafal Ablamowicz on 6/12/2000
    {\iftablespage   \hbox to \textwidth{\mbox{}\hfill Page}
    \else {\iffigurespage \hbox to \textwidth{\mbox{}\hfill Page}
    \else {\ifsymbolpage \hbox to \textwidth{\mbox{}\hfill Page}
    \else \hbox to \textwidth{\@tocheader \hfill Page}
	   \fi \relax}
         \fi \relax}
         \fi \relax}
    {\singlespace \@starttoc{toc}}\if@restonecol\twocolumn\fi}

\def\listoffigures{\@restonecolfalse
    \if@twocolumn\@restonecoltrue\onecolumn \fi
    \chapterc*{LIST OF FIGURES \@mkboth{Figure}{Page}}
    \def\@oddhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
   				     \hbox to \textwidth{Figure \hfil Page}}} %Added by R.A. 11-25-05
    \def\@evenhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
				     \hbox to \textwidth{Figure \hfil Page}}} %Added by R.A. 11-25-05
    \vspace*{-12pt} %changed by Rafal Ablamowicz on 6/12/2000
    \hbox to \textwidth{Figure \hfill Page}
     \addcontentsline{toc}{text}{LIST OF FIGURES}
    {\singlespace \@starttoc{lof}}\if@restonecol\twocolumn\fi}
\def\l@figure{\@dottedtocline{0}{1.8em}{1.8em}}

\def\listoftables{\@restonecolfalse
    \if@twocolumn\@restonecoltrue\onecolumn \fi
    \chapterc*{LIST OF TABLES \@mkboth{Table}{Page}}
    \def\@oddhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
   				     \hbox to \textwidth{Table \hfil Page}}} %Added by R.A. 11-25-05
    \def\@evenhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
				     \hbox to \textwidth{Table \hfil Page}}} %Added by R.A. 11-25-05
    \vspace*{-12pt} %Changed by Rafal Ablamowicz on 6/12/2000
    \hbox to \textwidth{Table \hfill Page}
     \addcontentsline{toc}{text}{LIST OF TABLES}
    {\singlespace \@starttoc{lot}}\if@restonecol\twocolumn\fi}
\let\l@table\l@figure
\def\listofsymbols{\@restonecolfalse
    \if@twocolumn\@restonecoltrue\onecolumn \fi
    \chapterc*{LIST OF SYMBOLS \@mkboth{Symbol}{Description}}
    \def\@oddhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
   				     \hbox to \textwidth{Symbol \hfil Page}}} %Added by R.A. 11-25-05
    \def\@evenhead{\vbox{\hbox to \textwidth{\hfil \thepage}
				     \vspace*{24pt}
				     \hbox to \textwidth{Symbol \hfil Page}}} %Added by R.A. 11-25-05
    \vspace*{10pt}%\mbox{}\\[0.5ex]
     \addcontentsline{toc}{text}{LIST OF SYMBOLS}
    \singlespace\if@restonecol\twocolumn\fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\@makechapterhead#1{       
   \vspace*{-25pt}
   {\normalsize \centering
   \ifnum \c@secnumdepth > \m@ne
    {\bf \@chapapp{} \thechapter}
     \\ \fi
     {\bf \uppercase{#1}} \\[1.5\baselineskip]
   \nobreak}\relax}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\@makeschapterhead#1{       
   \vspace*{-25pt}
   {\normalsize 
    \begin{center} \bf \uppercase{#1} \end{center} 
    \vspace*{1.5\baselineskip}
   \nobreak}\relax}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\chapter{\textheight=8.4in \clearpage \textheight=8.4in%8/10/94
	     \thispagestyle{plain}\global\@topnum\z@
	     \@afterindenttrue 
	     \secdef\@chapter\@schapter}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\chapterc{\clearpage\thispagestyle{myheadings}\global\@topnum\z@
	     \@afterindenttrue 
	     \secdef\@chapter\@schapter}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\@chapter[#1]#2{\ifnum \c@secnumdepth >\m@ne
     \refstepcounter{chapter}
     \typeout{\@chapapp\space\thechapter.}
     \addcontentsline{toc}{chapter}{\protect\numberline{\thechapter.}#1}
     \else \addcontentsline{toc}{chapter}{#1}\fi
      \chaptermark{#1}
      \if@twocolumn
	      \@topnewpage[\@makechapterhead{#2}]
      \else   \@makechapterhead{#2}%#2=CHAPTER number
	      \@afterheading
      \fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% Redefining \section and \subsection so that section and subsection numbers are 
%% printed or not depending on the logical switch \ifsectionnumbers set to 
%% \sectionnumberstrue or \sectionnumbersfalse.
%%
%% NOTE: subsubsections are not allowed by the TTU Grad School. If used, they will be
%% unnumbered.
%% 
%% By Rafal Ablamowicz, 4-23-2004
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\gdef\section[#1]#2{%
     \ifsectionnumbers
               \refstepcounter{section}
               \addtocounter{section}{-1}
               %\setcounter{subsection}{0}   
               {\@startsection {section}{1}{\z@}%{3.5ex plus 1ex minus .2ex}
               {\triplespace}{\triplespace}
               {\hyphenpenalty=2000  \addtocounter{section}{1}\centering{\normalsize \bf \thesection\ #2}
               \addcontentsline{toc}{section}{\thesection\ #1}}* \relax}
     \else
               {\@startsection {section}{1}{\z@}%{3.5ex plus 1ex minus .2ex}
               {\triplespace}{\triplespace}
               {\hyphenpenalty=2000  \centering{\normalsize \bf #2}
               \addcontentsline{toc}{section}{#1}}* \relax}
     \fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\gdef\section#1{%
%     \ifsectionnumbers
%               \setcounter{subsection}{0}   
%               {\@startsection {section}{1}{\z@}%{3.5ex plus 1ex minus .2ex}
%               {\triplespace}{\triplespace}
%               {\hyphenpenalty=2000  \addtocounter{section}{1}\centering{\normalsize \bf \thesection\ #1}
%               \addcontentsline{toc}{section}{\thesection\ #1}}* \relax}
%     \else
%               {\@startsection {section}{1}{\z@}%{3.5ex plus 1ex minus .2ex}
%               {\triplespace}{\triplespace}
%               {\hyphenpenalty=2000  \centering{\normalsize \bf #1}
%               \addcontentsline{toc}{section}{#1}}* \relax}
%\fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\gdef\subsection[#1]#2{%
     \ifsectionnumbers 
               \refstepcounter{subsection}
               \addtocounter{subsection}{-1}
               {\@startsection {subsection}{2}{\z@}
               {\triplespace}{\triplespace}
               {\hyphenpenalty=2000 \addtocounter{subsection}{1}\raggedright {\normalsize \bf \thesubsection\ #2}
               \addcontentsline{toc}{subsection}{\thesubsection\ #1}}* \relax}
     \else
               {\@startsection {subsection}{2}{\z@}
               {\triplespace}{\triplespace}
               {\hyphenpenalty=2000 \raggedright {\normalsize \bf #2}
               \addcontentsline{toc}{subsection}{#1}}* \relax}
\fi}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%These commands were last revised on March 28, 2002, to include section
%%%numbers in the headers of the sections and in the TOC
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\ifsectionnumbers
%\def\section#1{\@startsection {section}{1}{\z@}%{3.5ex plus 1ex minus .2ex}
%    {\triplespace}{\triplespace}
%    {\hyphenpenalty=2000  \addtocounter{section}{1}\centering{\normalsize \bf \thesection\ #1}
%     \addcontentsline{toc}{section}{\thesection\ #1}}* \relax}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\def\subsection#1{\@startsection {subsection}{2}{\z@}
%    {\triplespace}{\triplespace}
%    {\hyphenpenalty=2000 \raggedright {\normalsize \bf \thesubsection\ #1}
%    \addcontentsline{toc}{subsection}{\thesubsection\ #1}}* \relax}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\def\subsubsection#1{\@startsection {subsubsection}{3}{\parindent}
%    {\doublespace}{-1em}
%    {\hyphenpenalty=2000 \normalsize \hskip\parindent{\bf \thesubsubsection\ #1}
%    \addcontentsline{toc}{subsubsection}{\thesubsubsection\ #1}}* \relax}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\def\section#1{\@startsection {section}{1}{\z@}%{3.5ex plus 1ex minus .2ex}
%    {\triplespace}{\triplespace}
%    {\hyphenpenalty=2000  \centering{\normalsize \bf #1}
%    \addcontentsline{toc}{section}{#1}}* \relax}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\def\subsection#1{\@startsection {subsection}{2}{\z@}
%    {\triplespace}{\triplespace}
%    {\hyphenpenalty=2000 \raggedright {\normalsize \bf #1}
%    \addcontentsline{toc}{subsection}{#1}}* \relax}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\subsubsection[#1]#2{\@startsection {subsubsection}{3}{\parindent}
    {\doublespace}{-1em}
    {\hyphenpenalty=2000 \normalsize \hskip\parindent{\bf #2.}
    \addcontentsline{toc}{subsubsection}{#1}}* \relax}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\nohyphen{
   \hyphenpenalty=10000 \exhyphenpenalty=10000 \pretolerance=10000} %no hyphens
\def\nohyphens{\nohyphen
\penalty10000 \hskip.5em plus 3em \penalty0 \hskip-.17em plus-3em minus.11em}
 \long\def\@makecaption#1#2{
   \vskip 10pt
\ifnum\captiontype=2%It's not supported for \captiontype=2 and 3,  
		    %because of the definition of \thetable and \thefigure
       \setbox\@tempboxa\hbox{#1\hspace{1em}#2}
       {\ifdim \wd\@tempboxa >\hsize   % IF longer than one line:
	   {\rightskip 0pt plus 2em \spaceskip 0.3333em \xspaceskip 0.5em
	   #1\hspace{1em}#2}\par%THEN set as ordinary paragraph.
	\else                        %   ELSE  center.
	   \hbox to\hsize{\hfil\box\@tempboxa\hfil}
	\fi}
\else \ifnum\captiontype=3
	 \begin{center}
	   #1\\[\doublespace]
	   #2
	 \end{center}      
       \else
	 \setbox\@tempboxa\hbox{#1.\hspace{1em}#2}
	 {\ifdim \wd\@tempboxa >\hsize   % IF longer than one line:
	   {\nohyphens
	   \hspace*{3em}#1.\hspace{1em}#2}\par%THEN set as ordinary paragraph.
	 \else                        %   ELSE  center.
	   \hbox to\hsize{\hfil\box\@tempboxa\hfil}
	 \fi}
	\fi
\fi}
\def\fps@figure{htbp}
\def\fps@table{htbp}
\def\bottomfraction{0.9}%0.3=>0.9
\def\topfraction{0.9}%0.7=>0.9
\def\textfraction{0.1}%0.2=>0.1
\def\floatpagefraction{0.9}%0.5=>0.9 5/10/93
\ifx\@Hxfloat\@Hundef\else\expandafter\endinput\fi 
\let\@Hxfloat\@xfloat
\def\@xfloat#1[{\@ifnextchar{H}{\@HHfloat{#1}[}{\@Hxfloat{#1}[}}
\def\@HHfloat#1[H]{%
   \expandafter\let\csname end#1\endcsname\end@Hfloat
   \vskip\intextsep\def\@captype{#1}\parindent\z@ \ignorespaces}
\def\end@Hfloat{\vskip \intextsep}
\def\bibname#1{\gdef\@bibname{#1}}
\def\@bibname{BIBLIOGRAPHY}     
\def\thebibliography#1{\textheight=8.4in\clearpage\textheight=8.4in
 \thispagestyle{plain}\singlespace
  \addcontentsline{toc}{text}{\uppercase\expandafter{\@bibname}}
      \vspace*{1pt}
      \vfill
	    \begin{center}
	     \bf \uppercase\expandafter{\@bibname}%8/31/94 pjt
	    \end{center}
      \vfill
  \list{[\arabic{enumi}]}{\settowidth\labelwidth{[#1]}\leftmargin\labelwidth
    \advance\leftmargin\labelsep
    \usecounter{enumi}}
    \def\newblock{\hskip .11em plus .33em minus .07em}
    \sloppy\clubpenalty4000\widowpenalty4000
    \tolerance10000 \brokenpenalty10000
    \sfcode`\.=1000\relax 
      \clearpage\parskip 3.2ex plus .2ex minus .1ex
}
     
\let\endthebibliography=\endlist
     
\def\@biblabel#1{[#1]}
\def\@cite#1{[#1]}      
\def\appendname#1{\gdef\@appendname{#1}}
    \def\@appendname{APPENDIX}   
\def\appendix{\textheight=8.4in\clearpage\textheight=8.4in
  \thispagestyle{plain}\singlespace
\addcontentsline{toc}{text}{\uppercase\expandafter{\@appendname}}
 \vspace*{1pt}
      \vfill
	    \begin{center}
            \bf APPENDIX \uppercase\expandafter{\@appendname}%01/18/2002 R. Ablamowicz
	    \end{center}
      \vfill
      \pagebreak
\setcounter{chapter}{0}
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\def\@chapapp{APPENDIX}
\def\thechapter{\Alph{chapter}}
}

%%%%%%%%%%%%%%%This new command prints word APPENDICES without dots and page number
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\appendixnodots{\textheight=8.4in\clearpage\textheight=8.4in
                    \thispagestyle{plain}\singlespace
\addtocontents{toc}{\vskip\parskip\vskip\baselineskip
   \hbox to \textwidth{\uppercase\expandafter{\@appendname}
   \hfill \mbox{}}}
      \vspace*{1pt}
      \vfill
	    \begin{center}
	      \bf \uppercase\expandafter{\@appendname}%8/31/94 pjt
	    \end{center}
      \vfill
      \pagebreak
\setcounter{chapter}{0}
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\def\@chapapp{APPENDIX}
\def\thechapter{\Alph{chapter}}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\vitaname#1{\gdef\@vitaname{#1}}
\def\@vitaname{VITA}     
\def\vita{
  \chapter*{\uppercase\expandafter{\@vitaname}}   \spacing{1.655}
  \addcontentsline{toc}{text}{\uppercase\expandafter{\@vitaname}}
   }
\def\ttutext{
   \newpage
   \c@page\@ne
   \pagenumbering{arabic}
   \pagestyle{myheadings}
   \spacing{1.655}
   \def\@oddfoot{} \def\evenfoot{}
   \def\@oddhead{\hbox{} \hfil \rm\thepage}
   \def\@evenhead{\hbox{} \hfil \rm\thepage}}
\ttutext
\catcode`\@=11\relax
\newwrite\@unused
\def\typeout#1{{\let\protect\string\immediate\write\@unused{#1}}}
\typeout{psfig/tex 1.2-dvips}     
\def\figurepath{./}
\def\psfigurepath#1{\edef\figurepath{#1}}
\def\@nnil{\@nil}
\def\@empty{}
\def\@psdonoop#1\@@#2#3{}
\def\@psdo#1:=#2\do#3{\edef\@psdotmp{#2}\ifx\@psdotmp\@empty \else
    \expandafter\@psdoloop#2,\@nil,\@nil\@@#1{#3}\fi}
\def\@psdoloop#1,#2,#3\@@#4#5{\def#4{#1}\ifx #4\@nnil \else
       #5\def#4{#2}\ifx #4\@nnil \else#5\@ipsdoloop #3\@@#4{#5}\fi\fi}
\def\@ipsdoloop#1,#2\@@#3#4{\def#3{#1}\ifx #3\@nnil
       \let\@nextwhile=\@psdonoop \else
      #4\relax\let\@nextwhile=\@ipsdoloop\fi\@nextwhile#2\@@#3{#4}}
\def\@tpsdo#1:=#2\do#3{\xdef\@psdotmp{#2}\ifx\@psdotmp\@empty \else
    \@tpsdoloop#2\@nil\@nil\@@#1{#3}\fi}
\def\@tpsdoloop#1#2\@@#3#4{\def#3{#1}\ifx #3\@nnil
       \let\@nextwhile=\@psdonoop \else
      #4\relax\let\@nextwhile=\@tpsdoloop\fi\@nextwhile#2\@@#3{#4}}
\def\psdraft{
	\def\@psdraft{0}
}
\def\psfull{
	\def\@psdraft{100}
}
\psfull
\newif\if@prologfile
\newif\if@postlogfile
\newif\if@noisy
\def\pssilent{
	\@noisyfalse
}
\def\psnoisy{
	\@noisytrue
}
\psnoisy
\newif\if@bbllx
\newif\if@bblly
\newif\if@bburx
\newif\if@bbury
\newif\if@height
\newif\if@width
\newif\if@rheight
\newif\if@rwidth
\newif\if@clip
\newif\if@verbose
\def\@p@@sclip#1{\@cliptrue}
\def\@p@@sfile#1{\def\@p@sfile{null}
		\openin1=#1
		\ifeof1\closein1
		       \openin1=\figurepath#1
			\ifeof1\typeout{Error, File #1 not found}
			\else\closein1
			    \edef\@p@sfile{\figurepath#1}
			\fi
		 \else\closein1
		       \def\@p@sfile{#1}
		 \fi}
\def\@p@@sfigure#1{\def\@p@sfile{null}
		\openin1=#1
		\ifeof1\closein1
		       \openin1=\figurepath#1
			\ifeof1\typeout{Error, File #1 not found}
			\else\closein1
			    \def\@p@sfile{\figurepath#1}
			\fi
		 \else\closein1
		       \def\@p@sfile{#1}
		 \fi}
     
\def\@p@@sbbllx#1{
		\@bbllxtrue
		\dimen100=#1
		\edef\@p@sbbllx{\number\dimen100}
}
\def\@p@@sbblly#1{
		\@bbllytrue
		\dimen100=#1
		\edef\@p@sbblly{\number\dimen100}
}
\def\@p@@sbburx#1{
		\@bburxtrue
		\dimen100=#1
		\edef\@p@sbburx{\number\dimen100}
}
\def\@p@@sbbury#1{
		\@bburytrue
		\dimen100=#1
		\edef\@p@sbbury{\number\dimen100}
}
\def\@p@@sheight#1{
		\@heighttrue
		\dimen100=#1
		\edef\@p@sheight{\number\dimen100}
}
\def\@p@@swidth#1{
		\@widthtrue
		\dimen100=#1
		\edef\@p@swidth{\number\dimen100}
}
\def\@p@@srheight#1{
		\@rheighttrue
		\dimen100=#1
		\edef\@p@srheight{\number\dimen100}
}
\def\@p@@srwidth#1{
		\@rwidthtrue
		\dimen100=#1
		\edef\@p@srwidth{\number\dimen100}
}
\def\@p@@ssilent#1{
		\@verbosefalse
}
\def\@p@@sprolog#1{\@prologfiletrue\def\@prologfileval{#1}}
\def\@p@@spostlog#1{\@postlogfiletrue\def\@postlogfileval{#1}}
\def\@cs@name#1{\csname #1\endcsname}
\def\@setparms#1=#2,{\@cs@name{@p@@s#1}{#2}}
\def\ps@init@parms{
		\@bbllxfalse \@bbllyfalse
		\@bburxfalse \@bburyfalse
		\@heightfalse \@widthfalse
		\@rheightfalse \@rwidthfalse
		\def\@p@sbbllx{}\def\@p@sbblly{}
		\def\@p@sbburx{}\def\@p@sbbury{}
		\def\@p@sheight{}\def\@p@swidth{}
		\def\@p@srheight{}\def\@p@srwidth{}
		\def\@p@sfile{}
		\def\@p@scost{10}
		\def\@sc{}
		\@prologfilefalse
		\@postlogfilefalse
		\@clipfalse
		\if@noisy
			\@verbosetrue
		\else
			\@verbosefalse
		\fi
}
\def\parse@ps@parms#1{
		\@psdo\@psfiga:=#1\do
		   {\expandafter\@setparms\@psfiga,}}
\newif\ifno@bb
\newif\ifnot@eof
\newread\ps@stream
\def\bb@missing{
	\if@verbose{
		\typeout{psfig: searching \@p@sfile \space  for bounding box}
	}\fi
	\openin\ps@stream=\@p@sfile
	\no@bbtrue
	\not@eoftrue
	\catcode`\%=12
	\loop
		\read\ps@stream to \line@in
		\global\toks200=\expandafter{\line@in}
		\ifeof\ps@stream \not@eoffalse \fi
		\@bbtest{\toks200}
		\if@bbmatch\not@eoffalse\expandafter\bb@cull\the\toks200\fi
	\ifnot@eof \repeat
	\catcode`\%=14
}
\catcode`\%=12
\newif\if@bbmatch
\def\@bbtest#1{\expandafter\@a@\the#1%%BoundingBox:\@bbtest\@a@}
\long\def\@a@#1%%BoundingBox:#2#3\@a@{\ifx\@bbtest#2\@bbmatchfalse
       \else\@bbmatchtrue\fi}
\long\def\bb@cull#1 #2 #3 #4 #5 {
	\dimen100=#2 bp\edef\@p@sbbllx{\number\dimen100}
	\dimen100=#3 bp\edef\@p@sbblly{\number\dimen100}
	\dimen100=#4 bp\edef\@p@sbburx{\number\dimen100}
	\dimen100=#5 bp\edef\@p@sbbury{\number\dimen100}
	\no@bbfalse
}
\catcode`\%=14
%
\def\compute@bb{
		\no@bbfalse
		\if@bbllx \else \no@bbtrue \fi
		\if@bblly \else \no@bbtrue \fi
		\if@bburx \else \no@bbtrue \fi
		\if@bbury \else \no@bbtrue \fi
		\ifno@bb \bb@missing \fi
		\ifno@bb \typeout{FATAL ERROR: no bb supplied or found}
			\no-bb-error
		\fi
		%
		\count203=\@p@sbburx
		\count204=\@p@sbbury
		\advance\count203 by -\@p@sbbllx
		\advance\count204 by -\@p@sbblly
		\edef\@bbw{\number\count203}
		\edef\@bbh{\number\count204}
}
\def\in@hundreds#1#2#3{\count240=#2 \count241=#3
		     \count100=\count240        % 100 is first digit #2/#3
		     \divide\count100 by \count241
		     \count101=\count100
		     \multiply\count101 by \count241
		     \advance\count240 by -\count101
		     \multiply\count240 by 10
		     \count101=\count240        %101 is second digit of #2/#3
		     \divide\count101 by \count241
		     \count102=\count101
		     \multiply\count102 by \count241
		     \advance\count240 by -\count102
		     \multiply\count240 by 10
		     \count102=\count240        % 102 is the third digit
		     \divide\count102 by \count241
		     \count200=#1\count205=0
		     \count201=\count200
			\multiply\count201 by \count100
			\advance\count205 by \count201
		     \count201=\count200
			\divide\count201 by 10
			\multiply\count201 by \count101
			\advance\count205 by \count201
		     \count201=\count200
			\divide\count201 by 100
			\multiply\count201 by \count102
			\advance\count205 by \count201
		     \edef\@result{\number\count205}
}
\def\compute@wfromh{
		\in@hundreds{\@p@sheight}{\@bbw}{\@bbh}
		\edef\@p@swidth{\@result}
}
\def\compute@hfromw{
		\in@hundreds{\@p@swidth}{\@bbh}{\@bbw}
		\edef\@p@sheight{\@result}
}
\def\compute@handw{
		\if@height
			\if@width
			\else
				\compute@wfromh
			\fi
		\else
			\if@width
				\compute@hfromw
			\else
				\edef\@p@sheight{\@bbh}
				\edef\@p@swidth{\@bbw}
			\fi
		\fi
}
\def\compute@resv{
		\if@rheight \else \edef\@p@srheight{\@p@sheight} \fi
		\if@rwidth \else \edef\@p@srwidth{\@p@swidth} \fi
}
\def\compute@sizes{
	\compute@bb
	\compute@handw
	\compute@resv
}
\def\psfig#1{\vbox {
	\ps@init@parms
	\parse@ps@parms{#1}
	\compute@sizes
	\ifnum\@p@scost<\@psdraft{
		\if@verbose{
			\typeout{psfig: including \@p@sfile \space }
		}\fi
		\special{ps::[begin]    \@p@swidth \space \@p@sheight \space
				\@p@sbbllx \space \@p@sbblly \space
				\@p@sbburx \space \@p@sbbury \space
				startTexFig \space }
		\if@clip{
			\if@verbose{
				\typeout{(clip)}
			}\fi
			\special{ps:: doclip \space }
		}\fi
		\if@prologfile
		    \special{ps: plotfile \@prologfileval \space } \fi
		\special{ps: plotfile \@p@sfile \space }
		\if@postlogfile
		    \special{ps: plotfile \@postlogfileval \space } \fi
		\special{ps::[end] endTexFig \space }
		\vbox to \@p@srheight true sp{
			\hbox to \@p@srwidth true sp{
				\hss
			}
		\vss
		}
	}\else{
		\vbox to \@p@srheight true sp{
		\vss
			\hbox to \@p@srwidth true sp{
				\hss
				\if@verbose{
					\@p@sfile
				}\fi
				\hss
			}
		\vss
		}
	}\fi
}}
\def\psglobal{\typeout{psfig: PSGLOBAL is OBSOLETE; use psprint -m instead}}
\catcode`\@=12\relax

\psdraft
\newdimen\rotdimen
\def\vspec#1{\special{ps:#1}}%  passes #1 verbatim to the output
\def\rotstart#1{\vspec{gsave currentpoint currentpoint translate
   #1 neg exch neg exch translate}}% #1 can be any origin-fixing transformation
\def\rotfinish{\vspec{currentpoint grestore moveto}}% gets back in synch
\def\rotr#1{\rotdimen=\ht#1\advance\rotdimen by\dp#1%
   \hbox to\rotdimen{\hskip\ht#1\vbox to\wd#1{\rotstart{90 rotate}%
   \box#1\vss}\hss}\rotfinish}
\def\rotl#1{\rotdimen=\ht#1\advance\rotdimen by\dp#1%
   \hbox to\rotdimen{\vbox to\wd#1{\vskip\wd#1\rotstart{270 rotate}%
   \box#1\vss}\hss}\rotfinish}%
\def\rotu#1{\rotdimen=\ht#1\advance\rotdimen by\dp#1%
   \hbox to\wd#1{\hskip\wd#1\vbox to\rotdimen{\vskip\rotdimen
   \rotstart{-1 dup scale}\box#1\vss}\hss}\rotfinish}%
\def\rotf#1{\hbox to\wd#1{\hskip\wd#1\rotstart{-1 1 scale}%
   \box#1\hss}\rotfinish}%
\newbox\rotbox
\newenvironment{sidetable}{\begin{table}[p]%
	\setbox\rotbox\vbox to \textwidth\bgroup\hsize=\textheight\vss}%
	{\vss\egroup \rotl\rotbox\end{table}}
\newenvironment{sidefigure}{\begin{figure}[p]%
	\setbox\rotbox\vbox to \textwidth\bgroup\hsize=\textheight\vss}%
	{\vss\egroup \rotl\rotbox\end{figure}}

%%%End of file