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% Beamer Sample File
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% If you want a MS Power Point like presentation use the
% beamer document class
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\documentclass{beamer}

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% If you want to print your presentation for handouts, use the
% handout option (by removing the "%" in front of
% \documentclass[handout]{beamer}. Make sure to put a "%" in
% front of \documentclass{beamer} above). This option will
% collapse all the overlays on one slide onto one page.
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%\documentclass[handout]{beamer}

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% Changes the way the slide titles look
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\usefonttheme{serif}
\usefonttheme{structuresmallcapsserif}

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% Centers the Frame Title
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\setbeamertemplate{frametitle} {
\begin{centering}
\vspace{0.2in}
\insertframetitle
\par
\end{centering}
}

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% Define the new environment itemise
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\newenvironment{itemise}
{\begin{itemize} \setlength{\itemsep}{0.5cm}}
{\end{itemize}}

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% Begin Document
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\begin{document}

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% Slide: Title Page - This creates the title page defined earlier
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% This produces the title page of your presentation
\title{A Sample Presentation using the Beamer Slide Environment}
\author{Mich\`{e}le Tertilt}

% use the command \date{your own date} if you don't want LaTeX to use
% today's date


\section{Title Page}

\begin{frame}
\maketitle
\end{frame}

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% Slide 1: Using the itemize and itemise statements
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% In order to see each slide's name in the TOC, you should define
% every slide as a new section - not essential, but useful for
% navigating your document.
\section{The Itemize Command}

\begin{frame}
\frametitle{The Itemize Command}

\begin{itemise}
    \item<1-> This shows how the itemise command works
    \item<2-> And shows the difference between then
    \begin{itemize}
        \item<2-> itemize
        \item<2-> itemise
    \end{itemize}
    \item<3-> statements
\end{itemise}

\end{frame}

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% Slide 2: Including tables and graphs
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% The best way to include graphs and tables into LaTeX and beamer
% is to save them as pdf files, save them in the same directory as
% your paper or presentation and then use the \includegraphics
% command. To use this command in a paper, you also need to include
% the use package graphicx by specifying \usepackage{graphicx}.
% If you choose this approach, you need to use pdf->LaTeX to compile
% your documents.

% NOTE: If you get an error message when you try to open the compiled
% pdf file that says your file is damaged and could not be repaired,
% it is most likely because beamer could not find one of your files.

\section{Including Tables and Graphs}

\begin{frame}
\frametitle{Including Tables and Graphs}

\centerline{
\includegraphics<1>[width=4.5in]{OriginalNashResult.pdf}%
\includegraphics<2->[width=4.5in]{OriginalFixedResult.pdf}%
}

\end{frame}

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% Slide 3: The Uncover Command
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\section{The Uncover Command}

\begin{frame}
\frametitle{The Uncover Command}

\begin{center}

\uncover<1-> {If you don't like the itemize command,}

\uncover<2-> {you may like the uncover command better.}

\end{center}

\uncover<3-> {And if you don't like your text}

\uncover<4-> {Just leave out the $\backslash$begin\{center\} command.}

\uncover<3-> {to be centered.}

\end{frame}

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% Slide: Using Math
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\section{Using Math}

\begin{frame}
\frametitle{Using Math}

If you like to use math, here we go

\uncover<2->{Aggregate matching function
\begin{equation*}
    m(u,v)=\omega u^{\alpha}  v^{1-\alpha}
\end{equation*}}

\uncover<3->{Workers' job finding rate
\begin{equation*}
    f(x)=\omega x^{1-\alpha}
\end{equation*}}

\uncover<3->{Firms' hiring rate is $f(x)/x$}

\end{frame}

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% End of the Document
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\end{document}