% a test file for the Auburn University style options
%       aums.sty (Masters Thesis)
%       auphd.sty (Ph.D. Dissertation)

% Use the following with LaTeX2e
%\documentclass[11pt]{report}
%\usepackage{aums}       % For Master's papers
%\usepackage{auphd}     % For Ph.D.
%\usepackage{ulem}       % underlining on style-page; see \normalem below

% Original LaTeX (or LaTeX2e with beta AmS-LaTeX)
%\documentstyle[11pt,auphd,ulem]{report}

\documentstyle[amsfonts,12pt,auphd,ulem,amssym,std,xy,graphicx]{report}


%% define box for proof outside environment
\def\cvd{~\vbox{\hrule\hbox{%
   \vrule height1.3ex\hskip0.8ex\vrule}\hrule } }

%This environments are numbered within each section together with
%theorems, lemmas, etc.
%note: {\rm .... } should be used to have
%text in roman letters.

% May want theorems numbered by chapter
\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{remark}[theorem]{Remark}
\newtheorem{example}[theorem]{Example}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{algorithm}[theorem]{Algorithm}
%the command \reals will give you the symbol for real numbers.

\font\germ=eufm10
\input xy
\xyoption{all}
\def\a{{\mbox{\germ a}}}
\def\b{{\mbox{\germ b}}}
\def\c{{\mbox{\germ c}}}
\def\d{{\mbox{\germ d}}}
\def\g{{\mbox{\germ g}}}
\def\l{{\mbox{\germ l}}}
\def\s{{\mbox{\germ s}}}
\def\gt{{\mbox{\germ t}}}
\def\gl{{\mbox{\germ gl}}}
\def\sL{{\mbox{\germ sl}}}
\def\su{{\mbox{\germ su}}}
\def\sp{{\mbox{\germ sp}}}
\def\h{{\mbox{\germ h}}}
\def\p{{\mbox{\germ p}}}
\def\k{{\mbox{\germ k}}}
\def\l{{\mbox{\germ l}}}
\def\m{{\mbox{\germ m}}}
\def\n{{\mbox{\germ n}}}
\def\q{{\mbox{\germ q}}}
\def\s{{\mbox{\germ s}}}
\def\t{{\mbox{\germ t}}}
\def\u{{\mbox{\germ u}}}
\def\z{{\mbox{\germ z}}}
\def\so{{\mbox{\germ so}}}
\def\sp{{\mbox{\germ sp}}}
\def\Z{{\mathbb Z}}
\def\R{{\mathbb R}}
\def\C{{\mathbb C}}
\def\Cnn{{\mathbb C}_{n\times n}}
\def\Rnn{{\mathbb R}_{n\times n}}
\def\H{\mathbb H}
\def\F{\mathbb F}
\def\N{{\mathcal N}}
\def\E{{\mathcal E}}
\def\re{{\rm Re}\,}
\def\im{{\rm Im}\,}
\def\span{{\rm span}\,}
\def\End{{\rm End}\,}
\def\Int{{\rm Int}\,}
\def\Aut{{\rm Aut}\,}
\def\conv{{\mbox{conv}\,}}
\def\diag{{\mbox{diag}\,}}
\def\dim{{\mbox{dim}\,}}
\def\vf{{\varphi}}
\def\ve{{\varepsilon}}
\def\bR{{\bf R}}
\def\bC{{\bf C}}
\def\bZ{{\bf Z}}
\def\ad{{\rm ad\,}}
\def\Ad{{\rm Ad}}
\def\tr{{\rm tr\;}}
\def\Sp{{\mbox{\rm Sp}}}
\def\SL{{\mbox{\rm SL}}}
\def\SO{{\mbox{\rm SO}}}
\def\SU{{\mbox{\rm SU}}}
\def\GL{{\mbox{\rm GL}}}
\def\U{{\mbox{\rm U}}}
\def\O{{\mbox{\rm O}}}
\def\Spin{{\mbox{\rm Spin}}}
\def\D{\mbox{dual}\,}
\def\sign{\mbox{sign}\,}
\def\Pf{\mbox{Pf}\,}
\def\deg{\mbox{deg}\,}

\def\endproof{\vbox{\hrule height0.6pt\hbox{%
 \vrule height1.3ex width0.6pt\hskip0.8ex
 \vrule width0.6pt}\hrule height0.6pt
}}

% Put the title, author, and date in.
\title{The title of your Ph.D dissertation}

%\author{Except where reference is made to the work of others, the
%work described in this thesis is my own or was done in
%collaboration with my advisory committee. This thesis does not
%include proprietary or classified information.}

\author{Name of author}
\date{December 8, 2005}

% List previous degrees here, one \previousdegree for each degree.

\previousdegree{M.S., Auburn University, 1997} \previousdegree{B.S., Auburn University, 1994}

% Put the Thesis Adviser here.
\adviser{Dr. T.}


% Put the committee here (including the adviser), one \professor for each.
% The advisor must be first, and the dean of the graduate school must be last.
\professor{Dr. T, chair\\
 Professor\\Mathematics and Statistics}


\professor{Dr. H\\
Associate Professor\\
Mathematics and Statistics}

\professor{Dr. L\\
Professor\\
Mathematics and Statistics}

\professor{Dr. N\\
 Professor\\
Mathematics and Statistics}

\professor{Dr. Z  \\Dean\\ Graduate School}



% Information for style-page
% Note: Due to the way underlining is handled, any "extra" braces here will
% create a box which cannot be broken across lines. The \style argument below
% shows how emphasis should be done.

\style{Transactions of the American Mathematical Society (together
with the style known as ``auphd'').  Bibliography follows van
Leunen's {\it A} {\it Handbook} {\it for} {\it Scholars}.}


\software{The document preparation package \TeX{} (specifically
\LaTeX) together with the departmental style-file {\tt auphd.sty}.}



\begin{document}

\begin{romanpages}      % roman-numbered pages





\ApprovalPage   % May comment-out until final version.
\TitlePage \CopyrightPage
% Does nothing in auphd

\begin{vita}
Student A, son/daughter of B and C, was born in ABC, Auburn, Alabama, USA, on Feb 31, 1965.  He attended the Auburn High School. After
graduating from Auburn High School, he entered Auburn University in September, 2000, from which he received his B.S. (Math) in June, 2001. He
started his graduate study in the Department of Mathematics of Auburn University in August, 2001 and received his M.S. (Math) in January, 2000.
He continued his graduate study in the Department of Mathematics of Auburn University in August, 2000.

\end{vita}




\begin{abstract}

\end{abstract}

\begin{acknowledgments}
The author would like to thank Dr. T for his excellent guidance throughout the course of this research, his parents for their constant support
and encouragement, his wife D for her loving patience and support.
\end{acknowledgments}

\StylePage  \tableofcontents\listoffigures


\end{romanpages}        % All done with roman-numbered pages

\chapter{Introduction}


\chapter{A proof}


\chapter{Preliminaries}


\chapter{The complex case}

\chapter{The real case}


See \cite{HJ} for more discussion.


\begin{thebibliography}{99}


\bibitem{HJ} R.A. Horn and C.R. Johnson, ``Matrix Analysis,''
Cambridge University Press, 1985

\end{thebibliography}




\end{document}