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-rw-r--r--vorlesungen/slides/1/algebrastruktur.tex102
-rw-r--r--vorlesungen/slides/1/dreieck.tex1
-rw-r--r--vorlesungen/slides/1/speziell.tex6
3 files changed, 66 insertions, 43 deletions
diff --git a/vorlesungen/slides/1/algebrastruktur.tex b/vorlesungen/slides/1/algebrastruktur.tex
index 9647c04..d7794a3 100644
--- a/vorlesungen/slides/1/algebrastruktur.tex
+++ b/vorlesungen/slides/1/algebrastruktur.tex
@@ -13,34 +13,43 @@
\begin{tikzpicture}[>=latex,thick]
\pgfmathparse{atan(7/4)}
\xdef\a{\pgfmathresult}
-\fill[color=red!40,opacity=0.5]
- ({-4-2.5},{2+1.0})
- --
- ({-2.5},{-3-1.0})
- --
- ({2.5},{-3-1.0})
- --
- ({-4+2.5},{2+1.0})
- -- cycle;
-\fill[color=blue!40,opacity=0.5]
- ({4-2.5},{2+1.0})
- --
- ({-2.5},{-3-1.0})
- --
- ({2.5},{-3-1.0})
- --
- ({4+2.5},{2+1.0})
- -- cycle;
-\fill[color=darkgreen!40,opacity=0.5]
- ({-4-2.5},{2+1.0})
- --
- ({-4-2.5+2*(4/7)},{2-1})
- --
- ({+4+2.5-2*(4/7)},{2-1})
- --
- ({+4+2.5},{2+1})
- --
- cycle;
+\uncover<2->{
+ \fill[color=red!40,opacity=0.5]
+ ({-4-2.5},{2+1.0})
+ --
+ ({-2.5},{-3-1.0})
+ --
+ ({2.5},{-3-1.0})
+ --
+ ({-4+2.5},{2+1.0})
+ -- cycle;
+}
+
+\uncover<4->{
+ \fill[color=blue!40,opacity=0.5]
+ ({4-2.5},{2+1.0})
+ --
+ ({-2.5},{-3-1.0})
+ --
+ ({2.5},{-3-1.0})
+ --
+ ({4+2.5},{2+1.0})
+ -- cycle;
+}
+
+\uncover<6->{
+ \fill[color=darkgreen!40,opacity=0.5]
+ ({-4-2.5},{2+1.0})
+ --
+ ({-4-2.5+2*(4/7)},{2-1})
+ --
+ ({+4+2.5-2*(4/7)},{2-1})
+ --
+ ({+4+2.5},{2+1})
+ --
+ cycle;
+}
+
\node at ({-3-0.5},2) {Skalarmultiplikation};
\node at (3.5,2.2) {Multiplikation};
@@ -49,22 +58,33 @@
\node at (0,-2.8) {Addition};
\node at (0,-3.2) {\tiny Gruppe};
-\node[color=blue] at (4.8,-0.5) [rotate=\a] {Ring\strut};
-\node[color=red] at (-4.8,-0.5) [rotate=-\a] {Vektorraum\strut};
+\uncover<4->{
+ \node[color=blue] at (4.8,-0.5) [rotate=\a] {Ring\strut};
+}
+
+\uncover<2->{
+ \node[color=red] at (-4.8,-0.5) [rotate=-\a] {Vektorraum\strut};
+}
-\node[color=darkgreen] at (0,2.6) {$(\lambda a)b=\lambda(ab)$};
+\uncover<6->{
+ \node[color=darkgreen] at (0,2.6) {$(\lambda a)b=\lambda(ab)$};
+}
-\node[color=red] at (-2.5,-0.5) {$\displaystyle
-\begin{aligned}
-\lambda(a+b)&=\lambda a + \lambda b\\
-(\lambda+\mu)a&=\lambda a +\mu a
-\end{aligned}$};
+\uncover<3->{
+ \node[color=red] at (-2.5,-0.5) {$\displaystyle
+ \begin{aligned}
+ \lambda(a+b)&=\lambda a + \lambda b\\
+ (\lambda+\mu)a&=\lambda a +\mu a
+ \end{aligned}$};
+}
-\node[color=blue] at (2.5,-0.5) {$\displaystyle
-\begin{aligned}
-a(b+c)&=ab+ac\\
-(a+b)c&=ac+bc
-\end{aligned}$};
+\uncover<5->{
+ \node[color=blue] at (2.5,-0.5) {$\displaystyle
+ \begin{aligned}
+ a(b+c)&=ab+ac\\
+ (a+b)c&=ac+bc
+ \end{aligned}$};
+}
\end{tikzpicture}
\end{center}
diff --git a/vorlesungen/slides/1/dreieck.tex b/vorlesungen/slides/1/dreieck.tex
index f38f78d..3797e4b 100644
--- a/vorlesungen/slides/1/dreieck.tex
+++ b/vorlesungen/slides/1/dreieck.tex
@@ -5,6 +5,7 @@
%
\begin{frame}[t]
\frametitle{Dreiecksmatrizen}
+\vspace{-10pt}
\begin{columns}[t,onlytextwidth]
\begin{column}{0.31\textwidth}
\begin{block}{Dreiecksmatrix}
diff --git a/vorlesungen/slides/1/speziell.tex b/vorlesungen/slides/1/speziell.tex
index 83b3735..5b93da6 100644
--- a/vorlesungen/slides/1/speziell.tex
+++ b/vorlesungen/slides/1/speziell.tex
@@ -23,6 +23,7 @@ AI=IA=A
\end{block}
\end{column}
\begin{column}{0.58\textwidth}
+\uncover<2->{%
\begin{block}{Diagonalmatrix}
\[
\operatorname{diag}(\lambda_1,\lambda_2,\dots,\lambda_n)
@@ -34,11 +35,12 @@ AI=IA=A
0&0&\dots&\lambda_n
\end{pmatrix}
\]
-\end{block}
+\end{block}}
+\uncover<3->{%
\begin{block}{Hadamard-Algebra}
Die Algebra der Diagonalmatrizen ist die Hadamard-Algebra
(siehe später)
-\end{block}
+\end{block}}
\end{column}
\end{columns}
\end{frame}