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author | Andreas Müller <andreas.mueller@ost.ch> | 2021-02-25 13:11:56 +0100 |
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committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-02-25 13:11:56 +0100 |
commit | c375af98f136f158bc00b8895e8843be8feaa758 (patch) | |
tree | f22992f3c68b896f14e32b0b48d4199044fd3722 /vorlesungen/slides/1 | |
parent | add missing files (diff) | |
download | SeminarMatrizen-c375af98f136f158bc00b8895e8843be8feaa758.tar.gz SeminarMatrizen-c375af98f136f158bc00b8895e8843be8feaa758.zip |
MathSemMSE slides session1
Diffstat (limited to '')
-rw-r--r-- | vorlesungen/slides/1/bruch.tex | 3 | ||||
-rw-r--r-- | vorlesungen/slides/1/ganz.tex | 12 |
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} |