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authorAndreas Müller <andreas.mueller@ost.ch>2021-02-26 13:07:53 +0100
committerAndreas Müller <andreas.mueller@ost.ch>2021-02-26 13:07:53 +0100
commit3eb564bb021d51d6a8201ec3069e0acd08554f98 (patch)
tree15407fb6aa10304f7eb13b4e17a5206dd5a4d82c /vorlesungen/slides/1/ganz.tex
parentPoylnomdivision (diff)
downloadSeminarMatrizen-3eb564bb021d51d6a8201ec3069e0acd08554f98.tar.gz
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-rw-r--r--vorlesungen/slides/1/ganz.tex6
1 files changed, 3 insertions, 3 deletions
diff --git a/vorlesungen/slides/1/ganz.tex b/vorlesungen/slides/1/ganz.tex
index f1022f4..7930826 100644
--- a/vorlesungen/slides/1/ganz.tex
+++ b/vorlesungen/slides/1/ganz.tex
@@ -62,9 +62,9 @@ $\Rightarrow$ alle Differenzen in $\mathbb{Z}$}
\setlength{\belowdisplayskip}{5pt}
\uncover<11->{%
\begin{block}{Gruppe}
-Halbgruppe $\ifthenelse{\boolean{presentation}}{\only<11>{\mathbb{Z}}}{}\only<12->{G}$ mit inversem Element
+Monoid $\ifthenelse{\boolean{presentation}}{\only<11>{\mathbb{Z}}}{}\only<12->{G}$ mit inversem Element
\[
-a\in \ifthenelse{\boolean{presentation}}{\only<11>{\mathbb{Z}}}\only<12->{G}
+a\in \ifthenelse{\boolean{presentation}}{\only<11>{\mathbb{Z}}}{}\only<12->{G}
\Rightarrow
\ifthenelse{\boolean{presentation}}{\only<11>{-a\in\mathbb{Z}}}{}\only<12->{a^{-1}\in G}
\text{ mit }
@@ -95,7 +95,7 @@ a+b=b+a
\uncover<14->{%
\begin{block}{Beispiele}
\begin{itemize}
-\item<15-> Brüche reelle Zahlen
+\item<15-> Brüche, reelle Zahlen
\item<16-> invertierbare Matrizen: $\operatorname{GL}_n(\mathbb{R})$
\item<17-> Drehmatrizen: $\operatorname{SO}(n)$
\item<18-> Matrizen mit Determinante $1$: $\operatorname{SL}_n(\mathbb R)$