From 95c9a63dbb58815be30d393a0a1891b0bddc8ae8 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Mon, 22 Feb 2021 11:19:24 +0100
Subject: phases

---
 vorlesungen/slides/1/algebrastruktur.tex | 102 ++++++++++++++++++-------------
 vorlesungen/slides/1/dreieck.tex         |   1 +
 vorlesungen/slides/1/speziell.tex        |   6 +-
 3 files changed, 66 insertions(+), 43 deletions(-)

(limited to 'vorlesungen/slides/1')

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}
-- 
cgit v1.2.1