From cd89b4b8b98a5ac8bfc3f4182df01b1b80f33c79 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Wed, 19 May 2021 20:42:21 +0200
Subject: new slides

---
 vorlesungen/slides/9/pf/dreieck.tex | 29 +++++++++++++++++++++++++++--
 1 file changed, 27 insertions(+), 2 deletions(-)

(limited to 'vorlesungen/slides/9/pf/dreieck.tex')

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}
-- 
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