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authorRoy Seitz <roy.seitz@ost.ch>2021-04-19 11:10:24 +0200
committerRoy Seitz <roy.seitz@ost.ch>2021-04-19 11:10:24 +0200
commit8a32e72ace1b6442b2601b821e4d7ed24047939e (patch)
tree6fc1983625647d7c0e0bf95dd6086da3356e83d8 /vorlesungen/08_dgl
parentMerge branch 'master' of github.com:AndreasFMueller/SeminarMatrizen (diff)
downloadSeminarMatrizen-8a32e72ace1b6442b2601b821e4d7ed24047939e.tar.gz
SeminarMatrizen-8a32e72ace1b6442b2601b821e4d7ed24047939e.zip
Titleseite und Handout.
Diffstat (limited to 'vorlesungen/08_dgl')
-rw-r--r--vorlesungen/08_dgl/MathSem-08-dgl.tex25
1 files changed, 23 insertions, 2 deletions
diff --git a/vorlesungen/08_dgl/MathSem-08-dgl.tex b/vorlesungen/08_dgl/MathSem-08-dgl.tex
index 1bcb946..e4ece1b 100644
--- a/vorlesungen/08_dgl/MathSem-08-dgl.tex
+++ b/vorlesungen/08_dgl/MathSem-08-dgl.tex
@@ -7,8 +7,29 @@
\input{common.tex}
\setboolean{presentation}{true}
\begin{document}
-\begin{frame}
-\titlepage
+ \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}