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% This is preamble.tex
% You don't need to make any changes to this file if
% you have one advisor and two committee members
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\documentclass[12pt, letterpaper]{article}

\hsize=6in
\vsize=9in
\hoffset=.25in
\voffset=.25in

\begin{document}
%\renewcommand{\baselinestretch}{1.3}

\include{mydata}

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%statement of understanding
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\begin{titlepage}
\vspace{ 2.5in}
\noindent{\bf Distribution Agreement} \\

\vspace{ .25in}
%\begin{titlepage}
%\vspace{2.5in}

\noindent
In presenting this thesis or dissertation as a partial fulfillment of the requirements for an advanced
degree from Emory University, I hereby grant to Emory University and its agents the non-exclusive
license to archive, make accessible, and display my thesis or dissertation in whole or in part in all
forms of media, now or hereafter known, including display on the world wide web. I understand
that I may select some access restrictions as part of the online submission of this thesis or
dissertation. I retain all ownership rights to the copyright of the thesis or dissertation. I also retain
the right to use in future works (such as articles or books) all or part of this thesis or dissertation.




% In presenting this thesis or dissertation as a partial fulfillment of the requirements for an
% advanced degree from Emory University, I hereby grant to Emory University and its agents the
% non-exclusive license to archive, make accessible, and display my thesis or dissertation in whole or
% in part in all forms of media, now or hereafter known, including display on the world wide web. I
% understand that I may select some access restrictions as part of the online submission of this
% thesis or dissertation. I retain all ownership rights to the copyright of the thesis or
% dissertation. I also retain the right to use in future works (such as articles or books) all or part
% of this thesis or dissertation. In addition, it is understood that any copying from, or publication
% of, this thesis which involves potential financial gain will not be allowed without written
% permission from the author.

%%%%OLD%%%%%%%%%%%%%%%%OLD%%%%%%%%%%%%%%OLD%%%%%%%%%%%%%%%%%OLD%%%%
% In presenting this thesis as a partial fulfillment of the
% requirements for an advanced degree from Emory University,
% I agree that the Library of the University shall make it
% available for inspection and circulation in accordance with its
% regulations governing materials of this type.  I agree that
% permission to copy from, or to publish, this thesis may be granted
% by the professor under whose direction it was written, or, in his
% absence, by the Dean of the Graduate School when such copying
% or publication is solely for scholarly purposes and does not involve
% potential financial gain.  It is understood that any copying
% from, or publication of, this thesis which involves potential
% financial gain will not be allowed without written permission.

\vspace{1.5in}
\noindent Signature:
\vspace{.35in}

%\hrule{3in} \hspace{.5in} \hrule{1.5in}
%Kinnari V. Amin \hspace{2in} Date

\begin{flushleft}
  $\overline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \hspace{0.75in} \overline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$ \\
  {\mbox{Kinnari V. Amin \hspace{2.4in} Date~~~~~~~~~~~~~~~~~~~}} 
\end{flushleft}


\end{titlepage}

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%signature page
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\begin{titlepage}

\vspace{0.01in}
\centerline{\LARGE \mytitle}
\vspace{.25in}

\centerline{By}
\vspace{.25in}
\centerline{\myname}
\centerline{\thisdegree}

\vspace{ .25in}
\centerline{Mathematics}
\vspace{ .5in}


\begin{center}
\begin{tabular}{c}
\\ \\
\hline
\myadvisor\\
Advisor \\
\\ \\ 
\hline
\committeeone\\
Committee Member\\
\\ \\ 
\hline
\committeetwo\\
Committee Member \\
\\ \\ 
\hline
\committeethree\\
Committee Member \\
\\ \\
Accepted:
\\ \\ \\
\hline
Lisa A. Tedesco, Ph.D.\\
Dean of the James T. Laney School of Graduate Studies \\
\\ \\
\hline
Date \\
\end{tabular}
\end{center}
\end{titlepage}

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%abstract title page
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\begin{titlepage}
\vspace{ 1.5in}
\centerline{\LARGE \mytitle}
\vspace{ .75in}
\centerline{By}
\vspace{ .75in}
\centerline{\myname}
\centerline{\mydegree}
\vspace{ .75in}
\centerline{Advisor: \myadvisor}
\vspace{1.5in}

\centerline{An abstract of}
\centerline{A \typeofthesis~submitted to the Faculty of the}
\centerline{James T. Laney School of Graduate Studies of Emory University}
\centerline{in partial fulfillment of the requirements of the degree of}
\centerline{\thisdegree}
\centerline{in Mathematics}
\centerline{\thisyear}

\end{titlepage}
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%abstract page
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\begin{titlepage}
\thispagestyle{empty}
\centerline{\bf Abstract}
\vspace{1cm}
\centerline{\large \mytitle}
\centerline{By \myname}
\vspace{1cm}
\myabstract
\end{titlepage}

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%thesis title page
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\begin{titlepage}

\vspace{ 1.5in}
\centerline{\LARGE \mytitle}
\vspace{.75in}
\centerline{By}
\vspace{ .75in}
\centerline{\myname}
\centerline{\mydegree}
\vspace{ .75in}
\centerline{Advisor: \myadvisor}
\vspace{1.75in}

\centerline{A \typeofthesis~submitted to the Faculty of the}
\centerline{James T. Laney School of Graduate Studies of Emory University}
\centerline{in partial fulfillment of the requirements of the degree of}
\centerline{\thisdegree}
\centerline{in Mathematics}
\centerline{\thisyear}
\end{titlepage}

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%acknowledgements page
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\begin{titlepage}
\centerline{{\bf Acknowledgments}}
\vspace{.7in}
\myacknowledgements
\end{titlepage}

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%dedication page
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\begin{titlepage}
\vspace{2in}
\centerline{\emph{\mydedication}}
\end{titlepage}

\end{document}
