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Diffstat (limited to 'vorlesungen/08_dgl/MathSem-08-dgl.tex')
| -rw-r--r-- | vorlesungen/08_dgl/MathSem-08-dgl.tex | 35 |
1 files changed, 35 insertions, 0 deletions
diff --git a/vorlesungen/08_dgl/MathSem-08-dgl.tex b/vorlesungen/08_dgl/MathSem-08-dgl.tex new file mode 100644 index 0000000..e4ece1b --- /dev/null +++ b/vorlesungen/08_dgl/MathSem-08-dgl.tex @@ -0,0 +1,35 @@ +% +% 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} |