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\usepackage{color} %added

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\def\ds{\displaystyle}
\def\d{\partial}

\begin{document}

\centerline{\large \bf TITLE}

\vspace{.1truein}

\def\thefootnote{\arabic{footnote}}
\begin{center}
  Athor One\footnote{University A},
  Author Two\footnote{University B},
  Author Three\footnote{University C}
\end{center}

\vspace{.3truein}
\centerline{\bf Abstract}

\medskip
--- abstract goes here

\section{Introduction and Motivation}

Some text

Example of enumeration:
\begin{description}
\item{(1)} {\it Item one} - text.
\item{(2)} {\it Item two} - text.
\item{(3)} {\it Item three} - text.
\end{description}

%\begin{figure}[htp]
%\includegraphics[width=.9\textwidth]{subsurface_defects.jpg}
%\caption{Subsurface defects}
%\label{6_types_of_defects}
%\end{figure}

Text ...

Example of a numbered equation:
\begin{equation}
\label{eqn1}
 \frac{d^2n_i}{d x^2} = \beta_i^2 n_i(x) - \gamma_i Q_i(x) \qquad \mbox{for} \quad x\in l_i.
\end{equation}

A reference to the above equation (\ref{eqn1}).

Example of an equation, which is not numbered (when we don't need to refer to it):
\[
 \frac{d^2n_i}{d x^2} = \beta_i^2 n_i(x) - \gamma_i Q_i(x) \qquad \mbox{for} \quad x\in l_i.
\]

Math symbols within the text: $\beta_i$ is the reciprocal of the diffusion length.



\section{Section 2}


\begin{figure}[htp]
\includegraphics[width=3in]{PhasesRA_RC.eps}
\caption{Figure caption.}
\label{fig1}
\end{figure}

This is a reference to figure \ref{fig1}.


A different type of itemizing
\begin{itemize}
\item text
\item text
\item text
\end{itemize}


\begin{figure}[htp]
\begin{minipage}{\textwidth}
\includegraphics[width=.4\textwidth]{PhasesRA_RC.eps}
\includegraphics[width=.4\textwidth]{PhasesRA_RC.eps}
\caption{Figures side by side}
\label{fig2}
\end{minipage}
\end{figure}

This is a regerence to figure \ref{fig2}.

Reference to papers \cite{Pettersson1999, Stubinger2001}.

Reference to table \ref{table1}
\begin{table}[htbp]
\centering
\caption{Example of a table. }
\label{table1}
\begin{tabular}{|l|l|l|}
  % after \\: \hline or \cline{col1-col2} \cline{col3-col4} ...
  \hline
  $\gamma$ & $\sigma$ & $u_{2,1}(1,0)$  \\
  \hline
  \hline
  0.05 & 0.01 & -0.0694 \\
  \cline{2-3}
    & 0.02    & -0.1388 \\
  \cline{2-3}
    & 0.04    & -0.2776 \\
  \hline
  %
  0.1 & 0.01  & -0.0463\\
  \cline{2-3}
      & 0.02  & -0.0927\\
  \cline{2-3}
      & 0.04  & -0.1853\\
  \hline
  %
  0.2 & 0.01  & -0.0297 \\
  \cline{2-3}
      & 0.02  & -0.0595 \\
  \cline{2-3}
      & 0.04  & -0.1190 \\
  \hline
\end{tabular}
\end{table}

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\bibliography{REU_solar}
\end{document}