\begin
Discover why 18 million people worldwide trust Overleaf with their work.
%% Requires compilation with XeLaTeX or LuaLaTeX
\documentclass[9pt,xcolor={table,dvipsnames},t,aspectratio=169,onlytextwidth,mathserif]{beamer}
\usetheme{PSU}
\setbeamercovered{still covered={\opaqueness<1->{0}},again covered={\opaqueness<1->{40}}}
\title[Your Short Title]{Your Presentation}
\subtitle{Your subtitle (if there's one)}
\author{Your Name}
\institute{Your Faculty/Department}
\date{Date of Presentation}
\begin{document}
\begin{frame}
\titlepage
\end{frame}
% Uncomment these lines for an automatically generated outline.
% \begin{frame}{Outline}
% % \tableofcontents
% \begin{columns}[t]
% \begin{column}{.45\paperwidth}
% \tableofcontents[sections={1-2}]
% \end{column}
% \begin{column}{.45\paperwidth}
% \tableofcontents[sections={3-}]
% \end{column}
% \end{columns}
% \end{frame}
\section{Introduction}
\begin{frame}{Introduction}
\begin{itemize}
\item Your introduction goes here!
\item Use \texttt{itemize} to organize your main points.
\end{itemize}
\begin{block}{Regular Block}
Just a regular block
\end{block}
\begin{exampleblock}{Examples}
Some examples of commonly used commands and features are included, to help you get started.
\end{exampleblock}
\begin{alertblock}{}
Alert block without title
\end{alertblock}
\begin{alertblock}{Alert}
AlertBlock
\end{alertblock}
\end{frame}
\section{Some \LaTeX{} Examples}
\insertsectionframe
\subsection{Mathematics}
\insertsubsectionframe
\begin{frame}{Readable Mathematics 42}
Let $X_1, X_2, \ldots, X_n$ be a sequence of independent and identically distributed random variables with $\text{E}[X_i] = \mu$ and $\text{Var}[X_i] = \sigma^2 < \infty$, and let
$$S_n = \frac{X_1 + X_2 + \cdots + X_n}{n}
= \frac{1}{n}\sum_{i}^{n} X_i$$
denote their mean. Then as $n$ approaches infinity, the random variables $\sqrt{n}(S_n - \mu)$ converge in distribution to a normal $\mathcal{N}(0, \sigma^2)$.{\tiny\cite{nash1951noncooperative}}
\end{frame}
\subsection{Tables and Figures}
{
\smallframetitle
\begin{frame}{Tables and Figures}
\begin{itemize}
\item Use \texttt{tabular} for basic tables --- see Table~\ref{tab:widgets}, for example.
\item You can upload a figure (JPEG, PNG or PDF) using the files menu.
\item To include it in your document, use the \texttt{includegraphics} command (see the comment below in the source code).
\end{itemize}
\begin{table}
\centering
\begin{tabular}{l r}
\tableheadrow
\tableheadcol{Item} & \tableheadcol{Quantity} \\
Widgets & 42 \\
Gadgets & 13
\end{tabular}
\caption{\label{tab:widgets}An example table.}
\end{table}
\end{frame}
}
\begin{frame}
\frametitle{Figure Example}
Commands to include a figure:
\begin{figure}
\includegraphics[width=0.4\textwidth]{chart}
\caption{\label{fig:your-figure}Caption goes here.}
\end{figure}
\end{frame}
{
\normalframetitle
\begin{frame}
\frametitle{Text in Two Columns}
\begin{columns}[T]
\begin{column}{0.48\textwidth}
\small
Lorem ipsum dolor sit amet, consectetur adipiscing elit. Fusce sit amet massa in dolor pellentesque tempor. Integer nunc.
\end{column}
\begin{column}{0.48\textwidth}
\begin{itemize}
\item First bullet goes here
\begin{itemize}
\item Secondary bullet goes here
\begin{itemize}
\item Tertiary bullet goes here
\end{itemize}
\end{itemize}
\end{itemize}
\end{column}
\end{columns}
\end{frame}
}
\begin{frame}
\frametitle{Lorem Ipsum}
\includegraphics[width=.65\textwidth,height=.5\textheight]{photo}
\end{frame}
\begin{frame}[allowframebreaks]{References}
\tiny
\bibliographystyle{apalike}
\bibliography{references}
\end{frame}
\end{document}