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author | LordMcFungus <mceagle117@gmail.com> | 2021-03-22 18:05:11 +0100 |
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committer | GitHub <noreply@github.com> | 2021-03-22 18:05:11 +0100 |
commit | 76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7 (patch) | |
tree | 11b2d41955ee4bfa0ae5873307c143f6b4d55d26 /buch/chapters/10-vektorenmatrizen/images/ideale.tex | |
parent | more chapter structure (diff) | |
parent | add title image (diff) | |
download | SeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.tar.gz SeminarMatrizen-76d2d77ddb2bed6b7c6b8ec56648d85da4103ab7.zip |
Merge pull request #1 from AndreasFMueller/master
update
Diffstat (limited to 'buch/chapters/10-vektorenmatrizen/images/ideale.tex')
-rw-r--r-- | buch/chapters/10-vektorenmatrizen/images/ideale.tex | 72 |
1 files changed, 72 insertions, 0 deletions
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} + |