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diff --git a/src/Lecture3/live/beamer.tex b/src/Lecture3/live/beamer.tex
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+\documentclass[11pt]{beamer}
+\usetheme{Madrid}
+\usepackage[utf8]{inputenc}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{amssymb}
+
+\author[Tronto]{Sebastiano Tronto}
+\title[Example]{Example presentation}
+
+\newtheorem{prop}{Proposition}
+
+\setbeamercovered{transparent} 
+\setbeamertemplate{navigation symbols}{} 
+\logo{\includegraphics[scale=0.05]{unilu.jpg}} 
+
+%\date{} 
+
+
+\begin{document}
+
+\begin{frame}
+\titlepage
+\end{frame}
+
+%\begin{frame}
+%\tableofcontents
+%\end{frame}
+
+\section[this]{This is the first section}
+
+\begin{frame}{Frame number one}
+\uncover<2->{
+\begin{align*}
+        \sum_{i=1}^n\frac{i}{2}
+\end{align*}
+}
+
+\begin{itemize}[<+->]
+\item One item
+\item another random things
+\item third line
+\item fourth element
+\end{itemize}
+\end{frame}
+
+\begin{frame}{A second frame}
+\begin{theorem}
+A theorem
+\end{theorem}
+
+{
+
+\setbeamercolor{block body}{fg=red,bg=gray}
+\begin{prop}
+My proposition
+\end{prop}
+}
+
+\begin{block}{Title of the block}
+this is my custom block
+\end{block}
+
+\end{frame}
+
+\begin{frame}{Columns}
+\begin{columns}
+        \column{0.5\textwidth}
+                \begin{itemize}[<+->]
+                        \item One item
+                        \item another random things
+                        \item third line
+                        \item fourth element
+                \end{itemize}
+        
+        \column{0.2\textwidth}
+                hello
+        
+        \column{0.3\textwidth}
+                \includegraphics[scale=0.1]{unilu.jpg}
+\end{columns}
+\end{frame}
+
+\end{document}
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