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authorAndreas Müller <andreas.mueller@othello.ch>2021-04-04 10:02:05 +0200
committerAndreas Müller <andreas.mueller@othello.ch>2021-04-04 10:02:05 +0200
commitb4867d6eecff66204bd083e3fe1da46a7f1aef42 (patch)
tree2c111adf4611a22b27ea03608057974e94ebc7b3 /buch/chapters/60-gruppen
parentInfo über Mannigfaltigkeiten hinzufügen (diff)
downloadSeminarMatrizen-b4867d6eecff66204bd083e3fe1da46a7f1aef42.tar.gz
SeminarMatrizen-b4867d6eecff66204bd083e3fe1da46a7f1aef42.zip
fix phi_4
Diffstat (limited to 'buch/chapters/60-gruppen')
-rw-r--r--buch/chapters/60-gruppen/images/kartenkreis.tex9
1 files changed, 8 insertions, 1 deletions
diff --git a/buch/chapters/60-gruppen/images/kartenkreis.tex b/buch/chapters/60-gruppen/images/kartenkreis.tex
index be6d6b3..8f2d9d5 100644
--- a/buch/chapters/60-gruppen/images/kartenkreis.tex
+++ b/buch/chapters/60-gruppen/images/kartenkreis.tex
@@ -55,12 +55,19 @@
\node at (1.01,1.32)
[right] {$\varphi_3\circ \varphi_1^{-1}(y)=\sqrt{1-y^2}$};
+\node at (1.6,1.6) {$\varphi_{31}$};
+
\node at (1.01,-1.28)
[right] {$\varphi_1\circ \varphi_4^{-1}(x)=-\sqrt{1-x^2}$};
+\node at (1.6,-1.6) {$\varphi_{14}$};
+
\node at (-1.24,1.32)
[left] {$\varphi_2\circ\varphi_4^{-1}(x)=\sqrt{1-x^2}$};
+\node at (-1.6,-1.6) {$\varphi_{42}$};
+
\node at (-1.18,-1.28)
[left] {$\varphi_4\circ\varphi_2^{-1}(y)=-\sqrt{1-y^2}$};
+\node at (-1.6,1.6) {$\varphi_{23}$};
\foreach \y in {0.1,0.3,...,0.9}{
\draw[->,color=red,shorten >= 0.1cm,shorten <= 0.3cm]
@@ -166,7 +173,7 @@
\node[color=blue] at (-1.25,0) [left] {$\varphi_2$};
\node[color=darkgreen] at (115:1) [below right] {$U_{y>0}$};
-\node[color=darkgreen] at (0,1.25) [above] {$\varphi_4$};
+\node[color=darkgreen] at (0,1.25) [above] {$\varphi_3$};
\node[color=orange] at (-115:1) [above right] {$U_{y<0}$};
\node[color=orange] at (0,-1.25) [below] {$\varphi_4$};