diff options
Diffstat (limited to '')
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/Makefile | 15 | ||||
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/internet.pdf | bin | 0 -> 10681 bytes | |||
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/internet.tex | 58 | ||||
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/markov.pdf | bin | 0 -> 28921 bytes | |||
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/markov.tex | 99 | ||||
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/markov2.pdf | bin | 0 -> 31027 bytes | |||
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/markov2.tex | 113 | ||||
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/markov3.pdf | bin | 0 -> 30437 bytes | |||
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/markov3.tex | 113 | ||||
| -rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/images/vergleich.pdf | bin | 120558 -> 120558 bytes |
10 files changed, 397 insertions, 1 deletions
diff --git a/buch/chapters/80-wahrscheinlichkeit/images/Makefile b/buch/chapters/80-wahrscheinlichkeit/images/Makefile index 24c0631..b04f6ff 100644 --- a/buch/chapters/80-wahrscheinlichkeit/images/Makefile +++ b/buch/chapters/80-wahrscheinlichkeit/images/Makefile @@ -5,7 +5,7 @@ # all: dreieck.pdf trenn.pdf vergleich.pdf vergleich.jpg \ positiv.pdf positiv.jpg diffusion.png diffusion.pdf \ - konvex.pdf + konvex.pdf internet.pdf markov.pdf markov2.pdf markov3.pdf # Visualisierung diffusion in einer primitiven Matrix diffusion.pdf: diffusion.tex diffusion.jpg @@ -58,3 +58,16 @@ drei.inc: dreieck.m # Konvex konvex.pdf: konvex.tex pdflatex konvex.tex + +internet.pdf: internet.tex + pdflatex internet.tex + +markov.pdf: markov.tex + pdflatex markov.tex + +markov2.pdf: markov2.tex + pdflatex markov2.tex + +markov3.pdf: markov3.tex + pdflatex markov3.tex + diff --git a/buch/chapters/80-wahrscheinlichkeit/images/internet.pdf b/buch/chapters/80-wahrscheinlichkeit/images/internet.pdf Binary files differnew file mode 100644 index 0000000..12eaf1e --- /dev/null +++ b/buch/chapters/80-wahrscheinlichkeit/images/internet.pdf diff --git a/buch/chapters/80-wahrscheinlichkeit/images/internet.tex b/buch/chapters/80-wahrscheinlichkeit/images/internet.tex new file mode 100644 index 0000000..1b384ad --- /dev/null +++ b/buch/chapters/80-wahrscheinlichkeit/images/internet.tex @@ -0,0 +1,58 @@ +% +% internet.tex -- Modellinternet +% +% (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] + +\foreach \x in {0,3,6,9}{ + \foreach \y in {0,3}{ + \fill[color=white] ({\x},{\y}) circle[radius=0.3]; + \draw ({\x},{\y}) circle[radius=0.3]; + } +} +\node at (0,3) {$1$}; +\node at (0,0) {$2$}; +\node at (3,3) {$3$}; +\node at (3,0) {$4$}; +\node at (6,3) {$5$}; +\node at (6,0) {$6$}; +\node at (9,3) {$7$}; +\node at (9,0) {$8$}; +% 1 +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (0,3) -- (3,3); +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (0,3) -- (0,0); +% 2 +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (0,0) to[out=-20,in=-160] (3,0); +% 3 +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (3,3) -- (6,3); +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (3,3) -- (0,0); +% 4 +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (3,0) -- (6,3); +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (3,0) -- (6,0); +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (3,0) to[out=160,in=20] (0,0); +% 5 +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (6,3) -- (9,3); +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (6,3) -- (9,0); +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (6,3) -- (6,0); +% 6 +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (6,0) to[out=20,in=160] (9,0); +% 7 +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (9,3) .. controls (7.5,4) .. (6,4) -- (3,4) .. controls (1.5,4) .. (0,3); +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (9,3) to[out=-110,in=110] (9,0); +% 8 +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (9,0) to[out=-160,in=-20] (6,0); +\draw[->,shorten >= 0.3cm, shorten <= 0.3cm] (9,0) to[out=70,in=-70] (9,3); + +\end{tikzpicture} +\end{document} + diff --git a/buch/chapters/80-wahrscheinlichkeit/images/markov.pdf b/buch/chapters/80-wahrscheinlichkeit/images/markov.pdf Binary files differnew file mode 100644 index 0000000..fba9489 --- /dev/null +++ b/buch/chapters/80-wahrscheinlichkeit/images/markov.pdf diff --git a/buch/chapters/80-wahrscheinlichkeit/images/markov.tex b/buch/chapters/80-wahrscheinlichkeit/images/markov.tex new file mode 100644 index 0000000..72f3b85 --- /dev/null +++ b/buch/chapters/80-wahrscheinlichkeit/images/markov.tex @@ -0,0 +1,99 @@ +% +% markov2.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] + +\def\punkt#1#2#3{ + \fill[color=white] #1 circle[radius=0.10]; + \fill[color=#2] #1 circle[radius=0.13]; + \node[color=white] at #1 {$\scriptstyle #3$}; +} + +\def\xs{2.5} +\def\ys{1} + +\foreach \x in {0,...,5}{ + \draw[color=red,line width=0.5pt] + ({\x*\xs},{-0.7*\ys}) -- ({\x*\xs},{-6.5*\ys}); +} + +\def\dotradius{0.04} + +\def\dotrow#1#2{ + \punkt{({#1*\xs},{-1*\ys})}{#2}{1} + \punkt{({#1*\xs},{-2*\ys})}{#2}{2} + \punkt{({#1*\xs},{-3*\ys})}{#2}{3} + \punkt{({#1*\xs},{-4*\ys})}{#2}{4} + \fill[color=#2] ({#1*\xs},{-5*\ys-0.3}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-5*\ys-0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-5*\ys}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-5*\ys+0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-5*\ys+0.3}) circle[radius=\dotradius]; + \punkt{({#1*\xs},{-6*\ys})}{#2}{s} +} + +\def\fan#1#2{ + \foreach \x in {1,2,3,4,6}{ + \foreach \y in {1,2,3,4,6}{ + \draw[->,shorten >= 2mm,shorten <= 2mm,color=#2] + ({#1*\xs},{-\x*\ys}) + -- + ({(#1+1)*\xs},{-\y*\ys}); + } + } +} + +\begin{scope} +\clip (-0.5,{-6.5*\ys}) rectangle ({5*\xs+0.5},-0.5); +\fan{-1}{gray} +\fan{0}{gray} +\fan{1}{gray} +\fan{2}{black} +\fan{3}{gray} +\fan{4}{gray} +\fan{5}{gray} +\end{scope} + +\dotrow{0}{gray} +\dotrow{1}{gray} +\dotrow{2}{black} +\dotrow{3}{black} +\dotrow{4}{gray} +\dotrow{5}{gray} + +\def\ty{-0.5} +\node[color=gray] at ({0.5*\xs},{\ty*\ys}) {$T(n-1,n-2)$}; +\node[color=gray] at ({1.5*\xs},{\ty*\ys}) {$T(n,n-1)$}; +\node[color=black] at ({2.5*\xs},{\ty*\ys}) {$T(n+1,n)$}; +\node[color=gray] at ({3.5*\xs},{\ty*\ys}) {$T(n+2,n+1)$}; +\node[color=gray] at ({4.5*\xs},{\ty*\ys}) {$T(n+3,n+2)$}; + +\draw[->,color=red] (-0.7,{-6.5*\ys}) -- ({5*\xs+0.7},{-6.5*\ys}) coordinate[label={$t$}]; + +\foreach \x in {0,...,5}{ + \draw[color=red] + ({\x*\xs},{-6.5*\ys-0.05}) + -- + ({\x*\xs},{-6.5*\ys+0.05}); +} +\node[color=red] at ({0*\xs},{-6.5*\ys}) [below] {$n-2\mathstrut$}; +\node[color=red] at ({1*\xs},{-6.5*\ys}) [below] {$n-1\mathstrut$}; +\node[color=red] at ({2*\xs},{-6.5*\ys}) [below] {$n\mathstrut$}; +\node[color=red] at ({3*\xs},{-6.5*\ys}) [below] {$n+1\mathstrut$}; +\node[color=red] at ({4*\xs},{-6.5*\ys}) [below] {$n+2\mathstrut$}; +\node[color=red] at ({5*\xs},{-6.5*\ys}) [below] {$n+3\mathstrut$}; + +\end{tikzpicture} +\end{document} + diff --git a/buch/chapters/80-wahrscheinlichkeit/images/markov2.pdf b/buch/chapters/80-wahrscheinlichkeit/images/markov2.pdf Binary files differnew file mode 100644 index 0000000..d534c8f --- /dev/null +++ b/buch/chapters/80-wahrscheinlichkeit/images/markov2.pdf diff --git a/buch/chapters/80-wahrscheinlichkeit/images/markov2.tex b/buch/chapters/80-wahrscheinlichkeit/images/markov2.tex new file mode 100644 index 0000000..c2fab2e --- /dev/null +++ b/buch/chapters/80-wahrscheinlichkeit/images/markov2.tex @@ -0,0 +1,113 @@ +% +% markov.tex -- Illustration markov-Kette +% +% (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] + +\def\punkt#1#2#3{ + \fill[color=white] #1 circle[radius=0.10]; + \fill[color=#2] #1 circle[radius=0.13]; + \node[color=white] at #1 {$\scriptstyle #3$}; +} + +\def\xs{2.5} +\def\ys{1} + +\foreach \x in {0,...,5}{ + \draw[color=red,line width=0.5pt] + ({\x*\xs},{-0.7*\ys}) -- ({\x*\xs},{-8.5*\ys}); +} + +\def\dotradius{0.04} + +\def\dotrow#1#2{ + \punkt{({#1*\xs},{-1*\ys})}{#2}{1} + \punkt{({#1*\xs},{-2*\ys})}{#2}{2} + \fill[color=#2] ({#1*\xs},{-3*\ys-0.3}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-3*\ys-0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-3*\ys}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-3*\ys+0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-3*\ys+0.3}) circle[radius=\dotradius]; + \punkt{({#1*\xs},{-4*\ys})}{#2}{7} + \punkt{({#1*\xs},{-5*\ys})}{#2}{8} + \punkt{({#1*\xs},{-6*\ys})}{#2}{9} + \fill[color=#2] ({#1*\xs},{-7*\ys-0.3}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-7*\ys-0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-7*\ys}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-7*\ys+0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-7*\ys+0.3}) circle[radius=\dotradius]; + \punkt{({#1*\xs},{-8*\ys})}{#2}{s} +} + +\def\fan#1#2{ + \foreach \x in {1,2,4}{ + \foreach \y in {1,2,4}{ + \draw[->,shorten >= 2mm,shorten <= 2mm,color=#2] + ({#1*\xs},{-\x*\ys}) + -- + ({(#1+1)*\xs},{-\y*\ys}); + } + } + \foreach \x in {5,6,8}{ + \foreach \y in {5,6,8}{ + \draw[->,shorten >= 2mm,shorten <= 2mm,color=#2] + ({#1*\xs},{-\x*\ys}) + -- + ({(#1+1)*\xs},{-\y*\ys}); + } + } +} + +\begin{scope} +\clip (-0.5,{-8.5*\ys}) rectangle ({5*\xs+0.5},-0.5); +\fan{-1}{gray} +\fan{0}{gray} +\fan{1}{gray} +\fan{2}{black} +\fan{3}{gray} +\fan{4}{gray} +\fan{5}{gray} +\end{scope} + +\dotrow{0}{gray} +\dotrow{1}{gray} +\dotrow{2}{black} +\dotrow{3}{black} +\dotrow{4}{gray} +\dotrow{5}{gray} + +\def\ty{-0.5} +\node[color=gray] at ({0.5*\xs},{\ty*\ys}) {$T(n-1,n-2)$}; +\node[color=gray] at ({1.5*\xs},{\ty*\ys}) {$T(n,n-1)$}; +\node[color=black] at ({2.5*\xs},{\ty*\ys}) {$T(n+1,n)$}; +\node[color=gray] at ({3.5*\xs},{\ty*\ys}) {$T(n+2,n+1)$}; +\node[color=gray] at ({4.5*\xs},{\ty*\ys}) {$T(n+3,n+2)$}; + +\draw[->,color=red] (-0.7,{-8.5*\ys}) -- ({5*\xs+0.7},{-8.5*\ys}) coordinate[label={$t$}]; + +\foreach \x in {0,...,5}{ + \draw[color=red] + ({\x*\xs},{-8.5*\ys-0.05}) + -- + ({\x*\xs},{-8.5*\ys+0.05}); +} +\node[color=red] at ({0*\xs},{-8.5*\ys}) [below] {$n-2\mathstrut$}; +\node[color=red] at ({1*\xs},{-8.5*\ys}) [below] {$n-1\mathstrut$}; +\node[color=red] at ({2*\xs},{-8.5*\ys}) [below] {$n\mathstrut$}; +\node[color=red] at ({3*\xs},{-8.5*\ys}) [below] {$n+1\mathstrut$}; +\node[color=red] at ({4*\xs},{-8.5*\ys}) [below] {$n+2\mathstrut$}; +\node[color=red] at ({5*\xs},{-8.5*\ys}) [below] {$n+3\mathstrut$}; + +\end{tikzpicture} +\end{document} + diff --git a/buch/chapters/80-wahrscheinlichkeit/images/markov3.pdf b/buch/chapters/80-wahrscheinlichkeit/images/markov3.pdf Binary files differnew file mode 100644 index 0000000..61f4fe7 --- /dev/null +++ b/buch/chapters/80-wahrscheinlichkeit/images/markov3.pdf diff --git a/buch/chapters/80-wahrscheinlichkeit/images/markov3.tex b/buch/chapters/80-wahrscheinlichkeit/images/markov3.tex new file mode 100644 index 0000000..0b99ef3 --- /dev/null +++ b/buch/chapters/80-wahrscheinlichkeit/images/markov3.tex @@ -0,0 +1,113 @@ +% +% markov2.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] + +\def\punkt#1#2#3{ + \fill[color=white] #1 circle[radius=0.10]; + \fill[color=#2] #1 circle[radius=0.13]; + \node[color=white] at #1 {$\scriptstyle #3$}; +} + +\def\xs{2.5} +\def\ys{1} + +\fill[color=blue!20] + (-0.5,{-3.3*\ys}) rectangle ({5*\xs+0.5},{-0.7*\ys}); + +\foreach \x in {0,...,5}{ + \draw[color=red,line width=0.5pt] + ({\x*\xs},{-0.7*\ys}) -- ({\x*\xs},{-7.5*\ys}); +} + +\def\dotradius{0.04} + +\def\dotrow#1#2{ + \punkt{({#1*\xs},{-1*\ys})}{#2}{1} + \fill[color=#2] ({#1*\xs},{-2*\ys-0.3}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-2*\ys-0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-2*\ys}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-2*\ys+0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-2*\ys+0.3}) circle[radius=\dotradius]; + \punkt{({#1*\xs},{-3*\ys})}{#2}{7} + \punkt{({#1*\xs},{-4*\ys})}{#2}{8} + \punkt{({#1*\xs},{-5*\ys})}{#2}{9} + \fill[color=#2] ({#1*\xs},{-6*\ys-0.3}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-6*\ys-0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-6*\ys}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-6*\ys+0.15}) circle[radius=\dotradius]; + \fill[color=#2] ({#1*\xs},{-6*\ys+0.3}) circle[radius=\dotradius]; + \punkt{({#1*\xs},{-7*\ys})}{#2}{s} +} + +\def\fan#1#2{ + \foreach \x in {1,3}{ + \draw[->,shorten >= 2mm,shorten <= 2mm,color=#2,line width=2pt] + ({#1*\xs},{-\x*\ys}) + -- + ({(#1+1)*\xs},{-\x*\ys}); + } + \foreach \x in {4,5,7}{ + \foreach \y in {1,3,4,5,7}{ + \draw[->,shorten >= 2mm,shorten <= 2mm,color=#2] + ({#1*\xs},{-\x*\ys}) + -- + ({(#1+1)*\xs},{-\y*\ys}); + } + } +} + +\begin{scope} +\clip (-0.5,{-7.5*\ys}) rectangle ({5*\xs+0.5},-0.5); +\fan{-1}{gray} +\fan{0}{gray} +\fan{1}{gray} +\fan{2}{black} +\fan{3}{gray} +\fan{4}{gray} +\fan{5}{gray} +\end{scope} + +\dotrow{0}{gray} +\dotrow{1}{gray} +\dotrow{2}{black} +\dotrow{3}{black} +\dotrow{4}{gray} +\dotrow{5}{gray} + +\def\ty{-0.5} +\node[color=gray] at ({0.5*\xs},{\ty*\ys}) {$T(n-1,n-2)$}; +\node[color=gray] at ({1.5*\xs},{\ty*\ys}) {$T(n,n-1)$}; +\node[color=black] at ({2.5*\xs},{\ty*\ys}) {$T(n+1,n)$}; +\node[color=gray] at ({3.5*\xs},{\ty*\ys}) {$T(n+2,n+1)$}; +\node[color=gray] at ({4.5*\xs},{\ty*\ys}) {$T(n+3,n+2)$}; + +\draw[->,color=red] (-0.7,{-7.5*\ys}) -- ({5*\xs+0.7},{-7.5*\ys}) coordinate[label={$t$}]; + +\foreach \x in {0,...,5}{ + \draw[color=red] + ({\x*\xs},{-7.5*\ys-0.05}) + -- + ({\x*\xs},{-7.5*\ys+0.05}); +} +\node[color=red] at ({0*\xs},{-7.5*\ys}) [below] {$n-2\mathstrut$}; +\node[color=red] at ({1*\xs},{-7.5*\ys}) [below] {$n-1\mathstrut$}; +\node[color=red] at ({2*\xs},{-7.5*\ys}) [below] {$n\mathstrut$}; +\node[color=red] at ({3*\xs},{-7.5*\ys}) [below] {$n+1\mathstrut$}; +\node[color=red] at ({4*\xs},{-7.5*\ys}) [below] {$n+2\mathstrut$}; +\node[color=red] at ({5*\xs},{-7.5*\ys}) [below] {$n+3\mathstrut$}; + +\end{tikzpicture} +\end{document} + diff --git a/buch/chapters/80-wahrscheinlichkeit/images/vergleich.pdf b/buch/chapters/80-wahrscheinlichkeit/images/vergleich.pdf Binary files differindex f065f76..c6173ce 100644 --- a/buch/chapters/80-wahrscheinlichkeit/images/vergleich.pdf +++ b/buch/chapters/80-wahrscheinlichkeit/images/vergleich.pdf |