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authorAndreas Müller <andreas.mueller@ost.ch>2021-01-30 12:39:53 +0100
committerAndreas Müller <andreas.mueller@ost.ch>2021-01-30 12:39:53 +0100
commit78a408188971844605dc913dc2a5ddcb99023150 (patch)
tree41b51de430cef9581888d5060baadae29947d29f /buch/chapters/10-vektorenmatrizen/images
parentnew stuff about parrondo (diff)
downloadSeminarMatrizen-78a408188971844605dc913dc2a5ddcb99023150.tar.gz
SeminarMatrizen-78a408188971844605dc913dc2a5ddcb99023150.zip
add more algebra stuff
Diffstat (limited to 'buch/chapters/10-vektorenmatrizen/images')
-rw-r--r--buch/chapters/10-vektorenmatrizen/images/Makefile12
-rw-r--r--buch/chapters/10-vektorenmatrizen/images/gausszahlen.pdfbin0 -> 19127 bytes
-rw-r--r--buch/chapters/10-vektorenmatrizen/images/gausszahlen.tex48
-rw-r--r--buch/chapters/10-vektorenmatrizen/images/ideale.pdfbin0 -> 73185 bytes
-rw-r--r--buch/chapters/10-vektorenmatrizen/images/ideale.tex72
5 files changed, 132 insertions, 0 deletions
diff --git a/buch/chapters/10-vektorenmatrizen/images/Makefile b/buch/chapters/10-vektorenmatrizen/images/Makefile
new file mode 100644
index 0000000..779d571
--- /dev/null
+++ b/buch/chapters/10-vektorenmatrizen/images/Makefile
@@ -0,0 +1,12 @@
+#
+# Makefile -- build images
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+all: ideale.pdf gausszahlen.pdf
+
+ideale.pdf: ideale.tex
+ pdflatex ideale.tex
+
+gausszahlen.pdf: gausszahlen.tex
+ pdflatex gausszahlen.tex
diff --git a/buch/chapters/10-vektorenmatrizen/images/gausszahlen.pdf b/buch/chapters/10-vektorenmatrizen/images/gausszahlen.pdf
new file mode 100644
index 0000000..b717fa6
--- /dev/null
+++ b/buch/chapters/10-vektorenmatrizen/images/gausszahlen.pdf
Binary files differ
diff --git a/buch/chapters/10-vektorenmatrizen/images/gausszahlen.tex b/buch/chapters/10-vektorenmatrizen/images/gausszahlen.tex
new file mode 100644
index 0000000..6786f05
--- /dev/null
+++ b/buch/chapters/10-vektorenmatrizen/images/gausszahlen.tex
@@ -0,0 +1,48 @@
+%
+% gausszahlen.tex -- Ganze Gausssche Zahlen
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usepackage{color}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+\begin{tikzpicture}[>=latex,thick,scale=0.8]
+\draw[->] (-8.5,0) -- (8.5,0) coordinate[label={$\Re z$}];
+\draw[->] (0,-4.5) -- (0,4.5) coordinate[label={right:$\Im z$}];
+\foreach \x in {-8,...,8}{
+ \foreach \y in {-4,...,4}{
+ \fill (\x,\y) circle[radius=0.05];
+ }
+}
+
+
+\coordinate (O) at (0,0);
+\coordinate (A) at (2,2);
+\coordinate (B) at (-3,1);
+\coordinate (C) at (-8,-4);
+\coordinate (D) at (-1,3);
+\draw[line width=0.5pt] (A)--(D)--(B);
+\draw[->,color=red] (O) -- (A);
+\draw[->,color=red] (O) -- (B);
+\draw[->,color=blue] (O) -- (C);
+\draw[->,color=darkgreen] (O) -- (D);
+\fill[color=red] (A) circle[radius=0.08];
+\fill[color=red] (B) circle[radius=0.08];
+\fill[color=blue] (C) circle[radius=0.08];
+\fill[color=darkgreen] (D) circle[radius=0.08];
+\fill[color=black] (O) circle[radius=0.08];
+\node[color=red] at (A) [above right] {$z$};
+\node[color=red] at (B) [above left] {$w$};
+\node[color=darkgreen] at (D) [above] {$z+w$};
+\node[color=blue] at (C) [below right] {$z\cdot w$};
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/chapters/10-vektorenmatrizen/images/ideale.pdf b/buch/chapters/10-vektorenmatrizen/images/ideale.pdf
new file mode 100644
index 0000000..439afcc
--- /dev/null
+++ b/buch/chapters/10-vektorenmatrizen/images/ideale.pdf
Binary files differ
diff --git a/buch/chapters/10-vektorenmatrizen/images/ideale.tex b/buch/chapters/10-vektorenmatrizen/images/ideale.tex
new file mode 100644
index 0000000..9793c8e
--- /dev/null
+++ b/buch/chapters/10-vektorenmatrizen/images/ideale.tex
@@ -0,0 +1,72 @@
+%
+% ideale.tex -- Ideale in den ganzen Gaussschen Zahlen
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\begin{tikzpicture}[>=latex,thick,scale=0.35]
+\begin{scope}[xshift=-9.5cm]
+\begin{scope}
+\clip (-8.3,-8.3) rectangle (8.3,8.3);
+ \foreach \x in {-8,...,8}{
+ \foreach \y in {-8,...,8}{
+ \fill (\x,\y) circle[radius=0.08];
+ }
+ }
+ \foreach \x in {-8,...,8}{
+ \foreach \y in {-8,...,8}{
+ \fill[color=blue]
+ ({\x-2*\y},{2*\x+\y}) circle[radius=0.12];
+ }
+ }
+ \foreach \x in {-8,...,8}{
+ \draw[color=blue,line width=0.5pt]
+ ({\x-2*(-8)},{2*\x+(-8)})
+ --
+ ({\x-2*8},{2*\x+8});
+ }
+ \foreach \y in {-8,...,8}{
+ \draw[color=blue,line width=0.5pt]
+ ({(-8)-2*\y},{2*(-8)+\y})
+ --
+ ({8-2*\y},{2*8+\y});
+ }
+\end{scope}
+ \draw[->] (-8.3,0) -- (9.1,0) coordinate[label={$\Re z$}];
+ \draw[->] (0,-8.3) -- (0,8.9) coordinate[label={right:$\Im z$}];
+\end{scope}
+
+\begin{scope}[xshift=9.5cm]
+\begin{scope}
+\clip (-8.3,-8.3) rectangle (8.3,8.3);
+ \foreach \x in {-8,...,8}{
+ \foreach \y in {-8,...,8}{
+ \fill[color=red] ({\x-\y},{\x+\y}) circle[radius=0.12];
+ }
+ }
+ \foreach \x in {-8,...,8}{
+ \foreach \y in {-8,...,8}{
+ \fill (\x,\y) circle[radius=0.08];
+ }
+ }
+ \foreach \x in {-8,...,8}{
+ \draw[color=red,line width=0.5pt]
+ ({\x+8},{\x-8}) -- ({\x-8},{\x+8});
+ \draw[color=red,line width=0.5pt]
+ ({-8-\x},{-8+\x}) -- ({8-\x},{8+\x});
+ }
+\end{scope}
+ \draw[->] (-8.3,0) -- (9.1,0) coordinate[label={$\Re z$}];
+ \draw[->] (0,-8.3) -- (0,8.9) coordinate[label={right:$\Im z$}];
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+