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authorAndreas Müller <andreas.mueller@ost.ch>2021-04-10 21:13:29 +0200
committerAndreas Müller <andreas.mueller@ost.ch>2021-04-10 21:13:29 +0200
commit7242d266e3e348e40209ac51e703a0acb6d78ca3 (patch)
treebf9c603d06b0ed1f8f9a304ec7f69213cf4db14b /vorlesungen/slides/7/parameter.tex
parentnew slides (diff)
downloadSeminarMatrizen-7242d266e3e348e40209ac51e703a0acb6d78ca3.tar.gz
SeminarMatrizen-7242d266e3e348e40209ac51e703a0acb6d78ca3.zip
add rodriguez image
Diffstat (limited to '')
-rw-r--r--vorlesungen/slides/7/parameter.tex17
1 files changed, 14 insertions, 3 deletions
diff --git a/vorlesungen/slides/7/parameter.tex b/vorlesungen/slides/7/parameter.tex
index ec129bb..b719207 100644
--- a/vorlesungen/slides/7/parameter.tex
+++ b/vorlesungen/slides/7/parameter.tex
@@ -4,6 +4,7 @@
% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
%
\bgroup
+\definecolor{darkgreen}{rgb}{0,0.6,0}
\begin{frame}[t]
\setlength{\abovedisplayskip}{5pt}
\setlength{\belowdisplayskip}{5pt}
@@ -41,17 +42,27 @@ $\vec{k}=\vec{\omega}^0=\mathstrut$Drehachse
\[
\vec{x}
\mapsto
+(\vec{x} -(\vec{k}\cdot\vec{x})\vec{k})
\cos\omega
-\vec{x}
+
(\vec{k}\times\vec{x})\sin\omega
+
-\vec{k}(\vec{k}\cdot\vec{x}) (1-\cos\omega)
+\vec{k}(\vec{k}\cdot\vec{x})
\]
-XXX TODO: Bild für Rodriguez Formel
+\vspace{-40pt}
+\begin{center}
+\begin{tikzpicture}[>=latex,thick]
+\node at (0,0) {\includegraphics[width=\textwidth]{../slides/7/images/rodriguez.jpg}};
+\node[color=red] at (1.6,-0.9) {$\vec{x}$};
+\node[color=blue] at (0.5,2) {$\vec{k}$};
+\node[color=darkgreen] at (-3,1.1) {$\vec{k}\times\vec{x}$};
+\node[color=yellow] at (2.2,-0.2) {$\vec{x}-(\vec{x}\cdot\vec{k})\vec{k}$};
+\end{tikzpicture}
+\end{center}
\end{block}
\end{column}
\end{columns}
+\vspace{-15pt}
{\usebeamercolor[fg]{title}Dimension:} $\operatorname{SO}(3)$ ist eine
dreidimensionale Gruppe
\end{frame}