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authorAndreas Müller <andreas.mueller@ost.ch>2021-02-25 13:11:56 +0100
committerAndreas Müller <andreas.mueller@ost.ch>2021-02-25 13:11:56 +0100
commitc375af98f136f158bc00b8895e8843be8feaa758 (patch)
treef22992f3c68b896f14e32b0b48d4199044fd3722 /vorlesungen/slides/1
parentadd missing files (diff)
downloadSeminarMatrizen-c375af98f136f158bc00b8895e8843be8feaa758.tar.gz
SeminarMatrizen-c375af98f136f158bc00b8895e8843be8feaa758.zip
MathSemMSE slides session1
Diffstat (limited to '')
-rw-r--r--vorlesungen/slides/1/bruch.tex3
-rw-r--r--vorlesungen/slides/1/ganz.tex12
2 files changed, 9 insertions, 6 deletions
diff --git a/vorlesungen/slides/1/bruch.tex b/vorlesungen/slides/1/bruch.tex
index f6e551b..65521a2 100644
--- a/vorlesungen/slides/1/bruch.tex
+++ b/vorlesungen/slides/1/bruch.tex
@@ -28,6 +28,7 @@ Idee: $\displaystyle\frac{b}{a} = (b,a)$
\item<5-> Äquivalenzrelation
\[
(b,a)\sim (d,c)
+\ifthenelse{\boolean{presentation}}{
\only<5>{
\Leftrightarrow
\text{``
@@ -35,7 +36,7 @@ $\displaystyle
\frac{b}{a}=\frac{d}{c}
$
''}
-}
+}}{}
\only<6->{
\Leftrightarrow
bc=ad
diff --git a/vorlesungen/slides/1/ganz.tex b/vorlesungen/slides/1/ganz.tex
index 196a495..f1022f4 100644
--- a/vorlesungen/slides/1/ganz.tex
+++ b/vorlesungen/slides/1/ganz.tex
@@ -31,10 +31,11 @@ Idee: $b-a = (b,a)$
\item<5-> Äquivalenzrelation
\[
(b,a)\sim (d,c)
+\ifthenelse{\boolean{presentation}}{
\only<6>{\Leftrightarrow
\text{``\strut}
b-a=c-d
-\text{\strut''}}
+\text{\strut''}}}{}
\only<7->{
\Leftrightarrow
b+d=c+a}
@@ -61,15 +62,16 @@ $\Rightarrow$ alle Differenzen in $\mathbb{Z}$}
\setlength{\belowdisplayskip}{5pt}
\uncover<11->{%
\begin{block}{Gruppe}
-Halbgruppe $\only<11>{\mathbb{Z}}\only<12->{G}$ mit inversem Element
+Halbgruppe $\ifthenelse{\boolean{presentation}}{\only<11>{\mathbb{Z}}}{}\only<12->{G}$ mit inversem Element
\[
-a\in \only<11>{\mathbb{Z}}\only<12->{G}
+a\in \ifthenelse{\boolean{presentation}}{\only<11>{\mathbb{Z}}}\only<12->{G}
\Rightarrow
-\only<11>{-a\in\mathbb{Z}}\only<12->{a^{-1}\in G}
+\ifthenelse{\boolean{presentation}}{\only<11>{-a\in\mathbb{Z}}}{}\only<12->{a^{-1}\in G}
\text{ mit }
+\ifthenelse{\boolean{presentation}}{
\only<11>{
a+(-a)=0
-}
+}}{}
\only<12->{
\left\{
\begin{aligned}