aboutsummaryrefslogtreecommitdiffstats
path: root/vorlesungen/08_dgl/MathSem-08-dgl.tex
diff options
context:
space:
mode:
authorJODBaer <JODBaer@github.com>2021-04-20 12:38:29 +0200
committerJODBaer <JODBaer@github.com>2021-04-20 12:38:29 +0200
commitf9154b1070929ac3063a9676e11723e5ec0c8deb (patch)
tree3b2da1b4ee8f80ebe5c05a6c74f48832b57ffc9e /vorlesungen/08_dgl/MathSem-08-dgl.tex
parentMerge remote-tracking branch 'upstream/master' (diff)
parentMerge branch 'master' of github.com:AndreasFMueller/SeminarMatrizen (diff)
downloadSeminarMatrizen-f9154b1070929ac3063a9676e11723e5ec0c8deb.tar.gz
SeminarMatrizen-f9154b1070929ac3063a9676e11723e5ec0c8deb.zip
Merge remote-tracking branch 'upstream/master'
Diffstat (limited to 'vorlesungen/08_dgl/MathSem-08-dgl.tex')
-rw-r--r--vorlesungen/08_dgl/MathSem-08-dgl.tex35
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}