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TitlePage.tex
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\begin{center}
\null\vfill
\textbf{%
Optimization with Costly Gradients
}%
\\
\bigskip
By \\
\bigskip
Gabriel Goh \\
\bigskip
B.S. (University of California, Davis) 2001 \\
\bigskip
DISSERTATION \\
\bigskip
Submitted in partial satisfaction of the requirements for the
degree of \\
\bigskip
DOCTOR OF PHILOSOPHY \\
\bigskip
in \\
\bigskip
MATHEMATICS \\
\bigskip
in the \\
\bigskip
OFFICE OF GRADUATE STUDIES \\
\bigskip
of the \\
\bigskip
UNIVERSITY OF CALIFORNIA \\
\bigskip
DAVIS \\
\bigskip
Approved: \\
\bigskip
\bigskip
\makebox[3in]{\hrulefill} \\
Committee Member 1 \\
\bigskip
\bigskip
\makebox[3in]{\hrulefill} \\
Committee Member 2 \\
\bigskip
\bigskip
\makebox[3in]{\hrulefill} \\
Committee Member 3 \\
\bigskip
Committee in Charge \\
\bigskip
2006 \\
\vfill
\end{center}