diff options
Diffstat (limited to 'buch/chapters/10-vektorenmatrizen/images')
| -rw-r--r-- | buch/chapters/10-vektorenmatrizen/images/Makefile | 12 | ||||
| -rw-r--r-- | buch/chapters/10-vektorenmatrizen/images/gausszahlen.pdf | bin | 0 -> 19127 bytes | |||
| -rw-r--r-- | buch/chapters/10-vektorenmatrizen/images/gausszahlen.tex | 48 | ||||
| -rw-r--r-- | buch/chapters/10-vektorenmatrizen/images/ideale.pdf | bin | 0 -> 73185 bytes | |||
| -rw-r--r-- | buch/chapters/10-vektorenmatrizen/images/ideale.tex | 72 |
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 Binary files differnew file mode 100644 index 0000000..b717fa6 --- /dev/null +++ b/buch/chapters/10-vektorenmatrizen/images/gausszahlen.pdf 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 Binary files differnew file mode 100644 index 0000000..439afcc --- /dev/null +++ b/buch/chapters/10-vektorenmatrizen/images/ideale.pdf 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} + |