diff options
Diffstat (limited to 'buch/chapters/70-graphen/images')
| -rw-r--r-- | buch/chapters/70-graphen/images/Makefile | 44 | ||||
| -rw-r--r-- | buch/chapters/70-graphen/images/fundamental.tex | 108 |
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}
+
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