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author | Andreas Müller <andreas.mueller@ost.ch> | 2021-05-19 20:42:21 +0200 |
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committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-05-19 20:42:21 +0200 |
commit | cd89b4b8b98a5ac8bfc3f4182df01b1b80f33c79 (patch) | |
tree | 69cc9fb69e588140c03901d7780d020ca3f32abc /vorlesungen/slides/9/pf/dreieck.tex | |
parent | add new slides (diff) | |
download | SeminarMatrizen-cd89b4b8b98a5ac8bfc3f4182df01b1b80f33c79.tar.gz SeminarMatrizen-cd89b4b8b98a5ac8bfc3f4182df01b1b80f33c79.zip |
new slides
Diffstat (limited to 'vorlesungen/slides/9/pf/dreieck.tex')
-rw-r--r-- | vorlesungen/slides/9/pf/dreieck.tex | 29 |
1 files changed, 27 insertions, 2 deletions
diff --git a/vorlesungen/slides/9/pf/dreieck.tex b/vorlesungen/slides/9/pf/dreieck.tex index ba26e9e..0a572f3 100644 --- a/vorlesungen/slides/9/pf/dreieck.tex +++ b/vorlesungen/slides/9/pf/dreieck.tex @@ -10,9 +10,34 @@ \frametitle{Verallgemeinerte Dreiecksungleichung} \vspace{-20pt} \begin{columns}[t,onlytextwidth] -\begin{column}{0.48\textwidth} +\begin{column}{0.32\textwidth} +\begin{block}{Satz} +\[ +|u+v|\le |u|+|v| +\] +Gleichheit wenn lin.~abh. +\end{block} +\begin{block}{Satz} +\[ +\biggl|\sum_i u_i\biggr| +\le +\sum_i |u_i| +\] +Gleichheit wenn $u_i = \lambda_i u$ +\end{block} +\begin{block}{Satz} +\[ +\biggl|\sum_i z_i\biggr| +\le +\sum_i |z_i| +\] +Gleichheit, wenn $z_i=|z_i|c$, $c\in\mathbb{C}$ +\end{block} \end{column} -\begin{column}{0.48\textwidth} +\begin{column}{0.68\textwidth} +\begin{center} +\includegraphics[width=\textwidth]{../../buch/chapters/80-wahrscheinlichkeit/images/dreieck.pdf} +\end{center} \end{column} \end{columns} \end{frame} |