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\documentclass[11pt]{beamer}
\usetheme{Madrid}
\usepackage[utf8]{inputenc}
\usepackage{amsmath, amssymb, amsfonts, amsthm}
\usepackage{xcolor}
\usepackage{tikz-cd}
\author[\texttt{sebastiano.tronto@uni.lu}]{Sebastiano Tronto}
\title{Presentations in LaTeX with Beamer}
\logo{\includegraphics[scale=0.1]{img/unilu.jpg}}
%\institute{University of Luxembourg}
\newcommand{\bs}{\textbackslash}
\date{2021-03-26}
\begin{document}
\begin{frame}
\titlepage
\end{frame}
\begin{frame}{Why presentation with LaTeX?}
Pros:
\vspace{0.2cm}
\begin{itemize}
\item Easy to include formulas and theorems
\item Portability: \texttt{pdf} = \textbf{portable} document format
\item Very fast to get ``good enough'' results (subjective)
\end{itemize}
\vspace{0.5cm}
Cons:
\vspace{0.2cm}
\begin{itemize}
\item Advanced animations not possible with pdf
\item Lack of other presentation-specific features
\end{itemize}
\end{frame}
\begin{frame}{Structure of a Beamer document}
\includegraphics[scale=0.35]{img/beamer.png}
\end{frame}
\begin{frame}{The \texttt{frame} environment}
\texttt{\bs begin\{frame\}[options]\{Title\} \,\dots\, \bs end\{frame\}}
\vspace{0.5cm}
Useful options:
\begin{itemize}
\item \texttt{plain}: no bars on bottom or side
\item \texttt{shrink}: content is shrunk to fit in the slide
\item \texttt{fragile}: when you have \texttt{tikzpicture},
\texttt{listings} or similar
\end{itemize}
\end{frame}
\begin{frame}{Basic animations}
\begin{itemize}
\item \texttt{\bs pause} for a simple break
\vspace{0.3cm}
\item \texttt{\bs only<start-(end)>\{\emph{stuff}\}} to show
\emph{\texttt{stuff}} only on some slides
Shortcut for lists: \texttt{\bs item<\dots>} or
\texttt{\bs begin\{itemize\}[<+->]}
\vspace{0.3cm}
\item Optional:
\texttt{\bs setbeamercovered\{transparent\}} (see end of slides)
\vspace{0.3cm}
\item \texttt{\bs uncover<\dots>} does not take space when invisible
\end{itemize}
\end{frame}
\begin{frame}{Theorems and lists}
\begin{theorem} This is a Theorem \end{theorem}
\begin{proof} With proof \end{proof}
\begin{itemize}
\item \texttt{theorem}, \texttt{proof} and \texttt{definition} already
included with beamer.
\item Define new theorems as usual (they get a box automatically)
\end{itemize}
\end{frame}
\begin{frame}[fragile]{Custom blocks}
{
\setbeamercolor{block title}{fg=blue,bg=green}
\setbeamercolor{block body}{fg=black,bg=pink!50}
\begin{block}{A custom block, with ugly colors}
\begin{verbatim}
{
\setbeamercolor{block title}{fg=blue,bg=green}
\setbeamercolor{block body}{fg=black,bg=pink!50}
\begin{block}{A custom block, with ugly colors}
...
\end{block}
}
\end{verbatim}
\end{block}
}
\end{frame}
\begin{frame}{Multiple columns}
\begin{columns}
\column{0.3\textwidth}
\texttt{\bs begin\{columns\}}
\texttt{\qquad\bs column\{\emph{width}\}}
\texttt{\qquad(stuff)}
\texttt{\qquad\bs column\{\emph{width}\}}
\texttt{\qquad(more stuff)}
\texttt{\qquad\qquad\vdots}
\texttt{\bs end\{columns\}}
\column{0.7\textwidth}
\begin{itemize}
\item \texttt{\emph{width}} is a length (example:
\texttt{0.7\bs textwidth})
\item Example: picture on the left, text on the right
\item Not specific to Beamer
\item Alternative: \texttt{tabular}
\end{itemize}
\end{columns}
\end{frame}
\begin{frame}{Some advice}
\begin{itemize}
\item Do not prepare too many slides (1-2 minutes per slide)
\item Do not write too much in each slide (split if necessary)
\item Pictures and \texttt{itemize}s are great, sentences are not
\item Animations are ok (but are they worth the effort?)
\end{itemize}
\end{frame}
\begin{frame}{Examples}
Three examples will follow:
\begin{itemize}
\item A horrible slide
\item A better slide with the same content
\item A better better slide that took a little more time to write
\end{itemize}
\end{frame}
\begin{frame}{Diophantine equations (bad)}
Diophantine equations are a very old problem, dating back to Diophantus of
Alexandria (III century A.D.).
Despite this, they are still today a very hard problem, and there is
no general method or algorithm to solve them.
A notable example is \emph{Fermat's Last Theorem}, stated for the first time
in 1637 but proved to be true only in 1995, after more than 350 years!
\end{frame}
\begin{frame}{Diophantine Equations (better)}
\begin{itemize}
\item Very old problem
\vspace{0.3cm}
\item Very simple formulation, but very hard to solve!
\vspace{0.3cm}
\item ``Fermat's Last Theorem'': stated in 1637 - proved in 1995
\end{itemize}
\end{frame}
\setbeamercovered{transparent}
\begin{frame}{Diophantine Equations (better better)}
\begin{columns}
\column{0.45\textwidth}
\begin{figure}
\begin{center}
\includegraphics[scale=0.2]{img/diophantus.jpg}
{\footnotesize Diophantus of Alexandria\\ (III century A.D.)}
\end{center}
\end{figure}
\column{0.55\textwidth}
\begin{itemize}
\item<1-> Very old problem
\item<2-> Very simple formulation, but very hard to solve!
\item<3-> \emph{Fermat's Last Theorem}: stated in 1637 - proved in 1995
\end{itemize}
\end{columns}
\end{frame}
\end{document}
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