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-rw-r--r--buch/chapters/70-graphen/images/Makefile41
-rw-r--r--buch/chapters/70-graphen/images/fundamental.pdfbin0 -> 25976 bytes
-rw-r--r--buch/chapters/70-graphen/images/fundamental.tex54
3 files changed, 76 insertions, 19 deletions
diff --git a/buch/chapters/70-graphen/images/Makefile b/buch/chapters/70-graphen/images/Makefile
index b42cbae..c1bc5df 100644
--- a/buch/chapters/70-graphen/images/Makefile
+++ b/buch/chapters/70-graphen/images/Makefile
@@ -1,19 +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
-
-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
-
+#
+# 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.pdf b/buch/chapters/70-graphen/images/fundamental.pdf
new file mode 100644
index 0000000..66b82ca
--- /dev/null
+++ b/buch/chapters/70-graphen/images/fundamental.pdf
Binary files differ
diff --git a/buch/chapters/70-graphen/images/fundamental.tex b/buch/chapters/70-graphen/images/fundamental.tex
new file mode 100644
index 0000000..388bdf7
--- /dev/null
+++ b/buch/chapters/70-graphen/images/fundamental.tex
@@ -0,0 +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}
+