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authorReto <reto.fritsche@ost.ch>2021-04-24 14:11:30 +0200
committerReto <reto.fritsche@ost.ch>2021-04-24 14:11:30 +0200
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treef4a6e7c4b71500aa588cf626d19439729a38824a /vorlesungen/08_dgl/MathSem-08-dgl.tex
parentadded simple code example of mceliece cryptosystem (diff)
parentadd title slides for presentations (diff)
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Merge remote-tracking branch 'upstream/master' into mceliece
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+%
+% MathSem-08-dgl.tex -- Präsentation
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[aspectratio=169]{beamer}
+\input{common.tex}
+\setboolean{presentation}{true}
+\begin{document}
+ \begin{frame}
+ \titlepage
+ \vspace{-1.5cm}
+ \begin{columns}
+ \begin{column}{.48\textwidth}
+ \centering
+ \includegraphics[width=.7\linewidth]{../slides/10/vektorfelder-6.pdf}
+ \end{column}
+ \begin{column}{.48\textwidth}
+ \begin{align*}
+ x(t)
+ &=
+ \exp(At) x_0
+ \\
+ \exp(At)
+ &=
+ 1 + At + \frac{A^2t^2}{2} + \frac{A^3 t^3}{3!} + \ldots
+ \\
+ &=
+ \lim_{n\to \infty} \left(1 + \frac{At}{n}\right)^n
+ \end{align*}
+ \end{column}
+ \end{columns}
+\end{frame}
+\input{slides.tex}
+\end{document}