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% -*- coding: utf-8 -*-\documentclass{beamer}% https://github.com/zohooo/epyt% \usetheme{epyt}\newtheorem{thm}{Theorem}\begin{document}\title{Online LaTeX Editor}\author{JaxEdit Project}\date{July 3rd, 2012}\begin{frame}\titlepage\end{frame}\section[Introduction]{Long Introduction}\begin{frame}We have the Cauchy-Schwarz inequality: \[ \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \]where $a_k$ and $b_k$ are real numbers, for any $k$.\end{frame}\section{Calculus}\begin{frame}\begin{thm}If we have the following conditions:\begin{enumerate}\item $f(x)$ is continuous on $[a,b]$,\item $f(a)$ and $f(b)$ are of different signs,\end{enumerate}Then there exists a point $\xi\in(a,b)$ such that $f(\xi)=0$.\end{thm}\end{frame}\end{document}
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