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+%%
+%% An UIT Edition example
+%%
+%% Example 04-01-3 on page 70.
+%%
+%% Copyright (C) 2012 Vo\ss
+%%
+%% It may be distributed and/or modified under the conditions
+%% of the LaTeX Project Public License, either version 1.3
+%% of this license or (at your option) any later version.
+%%
+%% See http://www.latex-project.org/lppl.txt for details.
+%%
+
+% Show page(s) 1,2,3
+
+%% ====
+\PassOptionsToClass{}{beamer}
+\documentclass{exabeamer}
+% graphic converted to gray in book
+\usepackage[utf8]{inputenc}
+
+%\StartShownPreambleCommands
+\useinnertheme{circles}
+\useinnertheme{inmargin}
+%\StopShownPreambleCommands
+
+\begin{document}
+\title{Introduction to Analytic Geometry}
+\author{Gerhard Kowalewski}
+\date{1910}
+\frame{\maketitle}
+\section{Research and studies}
+\begin{frame}{The integral and its geometric applications.}
+We assume that the theory of irrational numbers is known.
+
+\begin{enumerate}[<+->]
+ \item The \emph{interval} $\langle a,b\rangle$ consists of all numbers $x$
+ that satisfy the condition $a\le x\le b$.
+ \item A \emph{sequence of numbers} or \emph{sequence} is created by replacing each
+ member of the infinite sequence of numbers $1,2,3,\ldots$ by some rational or
+ irrational number, i.e.\ each $n$ by a number $x_n$.
+ \item $\lim x_n=g$ means that almost all members of the sequence are within each
+ neighbourhood of $g$.
+ \item \textbf{Convergence criterion}: The sequence $x_1,x_2,x_3,\ldots$ converges
+ if and only if \textbf{each} sub-sequence $x^\prime_1,x^\prime_2,
+ x^\prime_3,\ldots$ satisfies the relation $\lim(x_n-x^\prime_n)=0$.
+\end{enumerate}
+\end{frame}
+\end{document}