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-\begin{frame}{Inhaltsverzeichnis}
- \tableofcontents
-\end{frame}
-
-\section{Motivation}
-
-\subsection{The Basic Problem That We Studied}
-
-\begin{frame}{Make Titles Informative. Use Uppercase Letters. Long Titles are Split Automatically.}{Subtitles are optional.}
- \begin{itemize}
- \item
- Use \texttt{itemize} a lot.
- \item
- Use very short sentences or short phrases.
- \end{itemize}
-\end{frame}
-
-\begin{frame}{Make Titles Informative.}
-
- You can create overlays\dots
- \begin{itemize}
- \item using the \texttt{pause} command:
- \begin{itemize}
- \item
- First item.
- \pause
- \item
- Second item.
- \end{itemize}
- \item
- using overlay specifications:
- \begin{itemize}
- \item<3->
- First item.
- \item<4->
- Second item.
- \end{itemize}
- \item
- using the general \texttt{uncover} command:
- \begin{itemize}
- \uncover<5->{\item
- First item.}
- \uncover<6->{\item
- Second item.}
- \end{itemize}
- \end{itemize}
-\end{frame}
-
-
-\subsection{Previous Work}
-
-\begin{frame}[fragile]{An old algorithm}
-% NB. listings is quite powerful, but not well suited to be used with beamer
-% consider using semiverbatim or the like, see below
-\begin{semiverbatim}
-int main (void)
-{
- std::vector<bool> is_prime (100, true);
- for (int i = 2; i < 100; i++)
- if (is_prime[i])
- {
- std::cout << i << " ";
- for (int j = i; j < 100;
- is_prime [j] = false, j+=i);
- }
- return 0;
-}
-\end{semiverbatim}
-\end{frame}
-
-\begin{frame}[fragile]{An Algorithm For Finding Primes Numbers.}
-\begin{semiverbatim}
-\uncover<1->{\alert<0>{int main (void)}}
-\uncover<1->{\alert<0>{\{}}
-\uncover<1->{\alert<1>{ \alert<4>{std::}vector<bool> is_prime (100, true);}}
-\uncover<1->{\alert<1>{ for (int i = 2; i < 100; i++)}}
-\uncover<2->{\alert<2>{ if (is_prime[i])}}
-\uncover<2->{\alert<0>{ \{}}
-\uncover<3->{\alert<3>{ \alert<4>{std::}cout << i << " ";}}
-\uncover<3->{\alert<3>{ for (int j = i; j < 100;}}
-\uncover<3->{\alert<3>{ is_prime [j] = false, j+=i);}}
-\uncover<2->{\alert<0>{ \}}}
-\uncover<1->{\alert<0>{ return 0;}}
-\uncover<1->{\alert<0>{\}}}
-\end{semiverbatim}
- \visible<4->{Note the use of \alert{\texttt{std::}}.}
-\end{frame}
-
-\section{Our Results/Contribution}
-
-\subsection{Main Results}
-
-\begin{frame}{Make Titles Informative.}
- \begin{example}
- \begin{itemize}
- \item 2 is prime (two divisors: 1 and 2).
- \item 3 is prime (two divisors: 1 and 3).
- \item 4 is not prime (\alert{three} divisors: 1, 2, and 4).
- \end{itemize}
- \end{example}
-\end{frame}
-
-\begin{frame}{Make Titles Informative.}
-\begin{theorem}
- There is no largest prime number and, in addition, $$\int_\Omega \nabla u \cdot \nabla v = - \int_\Omega u \Delta v + \int_{\partial\Omega} u v n$$
- \end{theorem}
- \begin{proof}
- \begin{enumerate}
- \item<1-> Suppose $p$ were the largest prime number.
- \item<2-> Let $q$ be the product of the first $p$ numbers.
- \item<3-> Then $q + 1$ is not divisible by any of them.
- \item<1-> Thus $q + 1$ is also prime and greater than $p$.\qedhere
- \end{enumerate}
- \end{proof}
- \uncover<4->{The proof used \textit{reductio ad absurdum}.}
-\end{frame}
-
-\begin{frame}{Make Titles Informative.}
-\end{frame}
-
-
-\subsection{Basic Ideas for Proofs/Implementation}
-
-\begin{frame}{Make Titles Informative.}
-\end{frame}
-
-\begin{frame}{Make Titles Informative.}
-\end{frame}
-
-\begin{frame}{Make Titles Informative.}
-\end{frame}
-
-
-
-\section*{Summary}
-
-\begin{frame}{Summary}
-
- % Keep the summary *very short*.
- \begin{itemize}
- \item
- The \alert{first main message} of your talk in one or two lines.
- \item
- The \alert{second main message} of your talk in one or two lines.
- \item
- Perhaps a \alert{third message}, but not more than that.
- \end{itemize}
-
- % The following outlook is optional.
- \vskip0pt plus.5fill
- \begin{itemize}
- \item
- Outlook
- \begin{itemize}
- \item
- Something you haven't solved.
- \item
- Something else you haven't solved.
- \end{itemize}
- \end{itemize}
-\end{frame}
-
-
-
-% All of the following is optional and typically not needed.
-\appendix
-\section<presentation>*{\appendixname}
-\subsection<presentation>*{For Further Reading}
-
-\begin{frame}[allowframebreaks]
- \frametitle<presentation>{For Further Reading}
-
- \begin{thebibliography}{10}
-
- \beamertemplatebookbibitems
- % Start with overview books.
-
- \bibitem{Author1990}
- A.~Author.
- \newblock {\em Handbook of Everything}.
- \newblock Some Press, 1990.
-
-
- \beamertemplatearticlebibitems
- % Followed by interesting articles. Keep the list short.
-
- \bibitem{Someone2000}
- S.~Someone.
- \newblock On this and that.
- \newblock {\em Journal of This and That}, 2(1):50--100,
- 2000.
- \end{thebibliography}
-\end{frame}
-