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authorJoshua Baer <the.baer.joshua@gmail.ch>2021-04-12 21:51:55 +0200
committerJoshua Baer <the.baer.joshua@gmail.ch>2021-04-12 21:51:55 +0200
commit2db90bfe4b174570424c408f04000902411d8755 (patch)
treee297a6274ff748de27257bffd7097c6b362ba12d /buch/chapters/70-graphen/images
parentadd new files (diff)
downloadSeminarMatrizen-2db90bfe4b174570424c408f04000902411d8755.tar.gz
SeminarMatrizen-2db90bfe4b174570424c408f04000902411d8755.zip
update to current state of book
Diffstat (limited to '')
-rw-r--r--buch/chapters/70-graphen/images/Makefile44
-rw-r--r--buch/chapters/70-graphen/images/fundamental.tex108
2 files changed, 76 insertions, 76 deletions
diff --git a/buch/chapters/70-graphen/images/Makefile b/buch/chapters/70-graphen/images/Makefile
index bd77756..c1bc5df 100644
--- a/buch/chapters/70-graphen/images/Makefile
+++ b/buch/chapters/70-graphen/images/Makefile
@@ -1,22 +1,22 @@
-#
-# Makefile -- Bilder für Kapitel Graphen
-#
-# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
-#
-all: peterson.pdf adjazenzu.pdf adjazenzd.pdf kreis.pdf fundamental.pdf
-
-peterson.pdf: peterson.tex
- pdflatex peterson.tex
-
-adjazenzu.pdf: adjazenzu.tex
- pdflatex adjazenzu.tex
-
-adjazenzd.pdf: adjazenzd.tex
- pdflatex adjazenzd.tex
-
-kreis.pdf: kreis.tex
- pdflatex kreis.tex
-
-fundamental.pdf: fundamental.tex
- pdflatex fundamental.tex
-
+#
+# Makefile -- Bilder für Kapitel Graphen
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+all: peterson.pdf adjazenzu.pdf adjazenzd.pdf kreis.pdf fundamental.pdf
+
+peterson.pdf: peterson.tex
+ pdflatex peterson.tex
+
+adjazenzu.pdf: adjazenzu.tex
+ pdflatex adjazenzu.tex
+
+adjazenzd.pdf: adjazenzd.tex
+ pdflatex adjazenzd.tex
+
+kreis.pdf: kreis.tex
+ pdflatex kreis.tex
+
+fundamental.pdf: fundamental.tex
+ pdflatex fundamental.tex
+
diff --git a/buch/chapters/70-graphen/images/fundamental.tex b/buch/chapters/70-graphen/images/fundamental.tex
index b7fe9c4..388bdf7 100644
--- a/buch/chapters/70-graphen/images/fundamental.tex
+++ b/buch/chapters/70-graphen/images/fundamental.tex
@@ -1,54 +1,54 @@
-%
-% fundamental.tex -- template for standalon tikz images
-%
-% (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}
-\def\skala{1}
-\begin{tikzpicture}[>=latex,thick,scale=\skala]
-
-\begin{scope}[xshift=-4.6cm]
- \draw[color=red,line width=2pt] (1.8,0) -- (1.8,2);
- \draw[color=red,line width=2pt] (0,0) -- (4,0);
- \node at (1.8,0) [below] {$i$};
- \draw[->] (-0.1,0) -- (4.3,0) coordinate[label={$x$}];
- \draw[->] (0,-2.1) -- (0,2.3) coordinate[label={right:$y$}];
-
- \node at (2,-2.3) [below] {Standarbasis};
-\end{scope}
-
-\begin{scope}
- \draw[color=red,line width=1.4pt]
- plot[domain=0:360,samples=100] ({\x/90},{2*sin(\x)});
- \draw[color=blue,line width=1.4pt]
- plot[domain=0:360,samples=100] ({\x/90},{2*cos(\x)});
- \node[color=blue] at (1,-1) {$\Re f_i$};
- \node[color=red] at (2,1) {$\Im f_i$};
- \draw[->] (-0.1,0) -- (4.3,0) coordinate[label={$x$}];
- \draw[->] (0,-2.1) -- (0,2.3) coordinate[label={right:$y$}];
- \node at (2,-2.3) [below] {Eigenbasis};
-\end{scope}
-
-\begin{scope}[xshift=4.6cm]
- \foreach \t in {0.02,0.05,0.1,0.2,0.5}{
- \draw[color=red,line width=1.0pt]
- plot[domain=-1.8:2.2,samples=100]
- ({\x+1.8},{exp(-\x*\x/(4*\t))/(sqrt(4*3.1415*\t))});
- }
- \fill[color=red] (1.8,0) circle[radius=0.08];
- \node at (1.8,0) [below] {$\xi$};
- \draw[->] (-0.1,0) -- (4.3,0) coordinate[label={$x$}];
- \draw[->] (0,-2.1) -- (0,2.3) coordinate[label={right:$y$}];
- \node at (2,-2.3) [below] {Fundamentallösung};
-\end{scope}
-
-\end{tikzpicture}
-\end{document}
-
+%
+% fundamental.tex -- template for standalon tikz images
+%
+% (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}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\begin{scope}[xshift=-4.6cm]
+ \draw[color=red,line width=2pt] (1.8,0) -- (1.8,2);
+ \draw[color=red,line width=2pt] (0,0) -- (4,0);
+ \node at (1.8,0) [below] {$i$};
+ \draw[->] (-0.1,0) -- (4.3,0) coordinate[label={$x$}];
+ \draw[->] (0,-2.1) -- (0,2.3) coordinate[label={right:$y$}];
+
+ \node at (2,-2.3) [below] {Standarbasis};
+\end{scope}
+
+\begin{scope}
+ \draw[color=red,line width=1.4pt]
+ plot[domain=0:360,samples=100] ({\x/90},{2*sin(\x)});
+ \draw[color=blue,line width=1.4pt]
+ plot[domain=0:360,samples=100] ({\x/90},{2*cos(\x)});
+ \node[color=blue] at (1,-1) {$\Re f_i$};
+ \node[color=red] at (2,1) {$\Im f_i$};
+ \draw[->] (-0.1,0) -- (4.3,0) coordinate[label={$x$}];
+ \draw[->] (0,-2.1) -- (0,2.3) coordinate[label={right:$y$}];
+ \node at (2,-2.3) [below] {Eigenbasis};
+\end{scope}
+
+\begin{scope}[xshift=4.6cm]
+ \foreach \t in {0.02,0.05,0.1,0.2,0.5}{
+ \draw[color=red,line width=1.0pt]
+ plot[domain=-1.8:2.2,samples=100]
+ ({\x+1.8},{exp(-\x*\x/(4*\t))/(sqrt(4*3.1415*\t))});
+ }
+ \fill[color=red] (1.8,0) circle[radius=0.08];
+ \node at (1.8,0) [below] {$\xi$};
+ \draw[->] (-0.1,0) -- (4.3,0) coordinate[label={$x$}];
+ \draw[->] (0,-2.1) -- (0,2.3) coordinate[label={right:$y$}];
+ \node at (2,-2.3) [below] {Fundamentallösung};
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+