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authorPascal Schmid <81317360+paschost@users.noreply.github.com>2021-05-24 21:17:59 +0200
committerPascal Schmid <81317360+paschost@users.noreply.github.com>2021-05-24 21:17:59 +0200
commitdab16fe994a13728b9ce9f279c4f90463f3474e7 (patch)
tree31624324a879c9944c9035b25407bc6ea839763f /buch/chapters/70-graphen/images
parentMerge branch 'part_verkehr' of https://github.com/paschost/SeminarMatrizen in... (diff)
parentWavelets auf einem Graphen (diff)
downloadSeminarMatrizen-dab16fe994a13728b9ce9f279c4f90463f3474e7.tar.gz
SeminarMatrizen-dab16fe994a13728b9ce9f279c4f90463f3474e7.zip
Merge branch 'AndreasFMueller:master' into part_verkehr
Diffstat (limited to 'buch/chapters/70-graphen/images')
-rw-r--r--buch/chapters/70-graphen/images/Makefile5
-rw-r--r--buch/chapters/70-graphen/images/gh.pdfbin0 -> 26177 bytes
-rw-r--r--buch/chapters/70-graphen/images/gh.tex55
3 files changed, 59 insertions, 1 deletions
diff --git a/buch/chapters/70-graphen/images/Makefile b/buch/chapters/70-graphen/images/Makefile
index d34247b..5db54c8 100644
--- a/buch/chapters/70-graphen/images/Makefile
+++ b/buch/chapters/70-graphen/images/Makefile
@@ -4,7 +4,7 @@
# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
#
all: peterson.pdf adjazenzu.pdf adjazenzd.pdf kreis.pdf fundamental.pdf \
- petersonchrind.pdf nine.pdf
+ petersonchrind.pdf nine.pdf gh.pdf
peterson.pdf: peterson.tex
pdflatex peterson.tex
@@ -26,3 +26,6 @@ fundamental.pdf: fundamental.tex
nine.pdf: nine.tex
pdflatex nine.tex
+gh.pdf: gh.tex
+ pdflatex gh.tex
+
diff --git a/buch/chapters/70-graphen/images/gh.pdf b/buch/chapters/70-graphen/images/gh.pdf
new file mode 100644
index 0000000..c6e48d7
--- /dev/null
+++ b/buch/chapters/70-graphen/images/gh.pdf
Binary files differ
diff --git a/buch/chapters/70-graphen/images/gh.tex b/buch/chapters/70-graphen/images/gh.tex
new file mode 100644
index 0000000..fcceb5f
--- /dev/null
+++ b/buch/chapters/70-graphen/images/gh.tex
@@ -0,0 +1,55 @@
+%
+% gh.tex -- Lokalsierungsfunktionen für Wavelets auf einem Graphen
+%
+% (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]
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\kurve#1#2{
+ \draw[color=#2,line width=1.4pt]
+ plot[domain=0:6.3,samples=400]
+ ({\x},{7*\x*exp(-(\x/#1)*(\x/#1))/#1});
+}
+
+\begin{scope}
+
+\draw[->] (-0.1,0) -- (6.6,0) coordinate[label={$\lambda$}];
+
+\kurve{1}{red}
+\foreach \k in {0,...,4}{
+ \pgfmathparse{0.30*exp(ln(2)*\k)}
+ \xdef\l{\pgfmathresult}
+ \kurve{\l}{blue}
+}
+
+\node[color=red] at ({0.7*1},3) [above] {$g(\lambda)$};
+\node[color=blue] at ({0.7*0.3*16},3) [above] {$g_i(\lambda)$};
+
+\draw[->] (0,-0.1) -- (0,3.3);
+\end{scope}
+
+\begin{scope}[xshift=7cm]
+
+\draw[->] (-0.1,0) -- (6.6,0) coordinate[label={$\lambda$}];
+
+\draw[color=darkgreen,line width=1.4pt]
+ plot[domain=0:6.3,samples=100]
+ ({\x},{3*exp(-(\x/0.5)*(\x/0.5)});
+
+\draw[->] (0,-0.1) -- (0,3.3) coordinate[label={right:$\color{darkgreen}h(\lambda)$}];
+
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+