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author | Andreas Müller <andreas.mueller@ost.ch> | 2021-02-09 21:52:16 +0100 |
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committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-02-09 21:52:16 +0100 |
commit | ada53a9c225b896c8d7608300427aac475bb7045 (patch) | |
tree | 1b1fe99c3e78256ff839611225dd61d983b96575 /buch/chapters/80-wahrscheinlichkeit/parrondo.tex | |
parent | Illustrationen Markov-Ketten (diff) | |
download | SeminarMatrizen-ada53a9c225b896c8d7608300427aac475bb7045.tar.gz SeminarMatrizen-ada53a9c225b896c8d7608300427aac475bb7045.zip |
move all iamges to separate files
Diffstat (limited to 'buch/chapters/80-wahrscheinlichkeit/parrondo.tex')
-rw-r--r-- | buch/chapters/80-wahrscheinlichkeit/parrondo.tex | 88 |
1 files changed, 3 insertions, 85 deletions
diff --git a/buch/chapters/80-wahrscheinlichkeit/parrondo.tex b/buch/chapters/80-wahrscheinlichkeit/parrondo.tex index 3bdba9a..a62d813 100644 --- a/buch/chapters/80-wahrscheinlichkeit/parrondo.tex +++ b/buch/chapters/80-wahrscheinlichkeit/parrondo.tex @@ -61,48 +61,7 @@ Fälle recht gross, in einem Fall aber sehr klein. \subsubsection{Übergangsmatrix im Spiel $B$} \begin{figure} \centering -\begin{tikzpicture}[>=latex,thick] -\def\R{2} -\def\r{0.5} -\coordinate (A) at (0,\R); -\coordinate (B) at ({\R*sqrt(3)/2},{-0.5*\R}); -\coordinate (C) at ({-\R*sqrt(3)/2},{-0.5*\R}); - -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (A) -- (B); -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (A) -- (C); -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (C) -- (B); - -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (B) to[out=90,in=-30] (A); -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (C) to[out=90,in=-150] (A); -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (B) to[out=-150,in=-30] (C); - -\pgfmathparse{0.93*\R} -\xdef\Rgross{\pgfmathresult} - -\node at (30:\Rgross) {$\frac34$}; -\node at (150:\Rgross) {$\frac14$}; -\node at (-90:\Rgross) {$\frac14$}; - -\pgfmathparse{0.33*\R} -\xdef\Rklein{\pgfmathresult} - -\node at (-90:\Rklein) {$\frac34$}; -\node at (30:\Rklein) {$\frac9{10}$}; -\node at (150:\Rklein) {$\frac1{10}$}; - -\fill[color=white] (A) circle[radius=\r]; -\draw (A) circle[radius=\r]; -\node at (A) {$0$}; - -\fill[color=white] (B) circle[radius=\r]; -\draw (B) circle[radius=\r]; -\node at (B) {$2$}; - -\fill[color=white] (C) circle[radius=\r]; -\draw (C) circle[radius=\r]; -\node at (C) {$1$}; - -\end{tikzpicture} +\includegraphics{chapters/80-wahrscheinlichkeit/images/spielB.pdf} \caption{Zustandsdiagramm für das Spiel $B$, Zustände sind die Dreierreste des Kapitals. \label{buch:wahrscheinlichkeit:fig:spielB}} @@ -454,51 +413,10 @@ U^t (G\odot B) p \] wie erwartet. -\subsubsection{Das modifizierte Spiel $B$} +\subsubsection{Das modifizierte Spiel $\tilde{B}$} \begin{figure} \centering -\begin{tikzpicture}[>=latex,thick] -\def\R{2.5} -\def\r{0.5} -\coordinate (A) at (0,\R); -\coordinate (B) at ({\R*sqrt(3)/2},{-0.5*\R}); -\coordinate (C) at ({-\R*sqrt(3)/2},{-0.5*\R}); - -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (A) -- (B); -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (A) -- (C); -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (C) -- (B); - -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (B) to[out=90,in=-30] (A); -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (C) to[out=90,in=-150] (A); -\draw[->,shorten >= 0.5cm,shorten <= 0.5cm] (B) to[out=-150,in=-30] (C); - -\pgfmathparse{0.93*\R} -\xdef\Rgross{\pgfmathresult} - -\node at (30:\Rgross) {$\frac34-\varepsilon$}; -\node at (150:\Rgross) {$\frac14+\varepsilon$}; -\node at (-90:\Rgross) {$\frac14+\varepsilon$}; - -\pgfmathparse{0.32*\R} -\xdef\Rklein{\pgfmathresult} - -\node at (-90:\Rklein) {$\frac34-\varepsilon$}; -\node at (30:\Rklein) {$\frac9{10}+\varepsilon$}; -\node at (150:\Rklein) {$\frac1{10}-\varepsilon$}; - -\fill[color=white] (A) circle[radius=\r]; -\draw (A) circle[radius=\r]; -\node at (A) {$0$}; - -\fill[color=white] (B) circle[radius=\r]; -\draw (B) circle[radius=\r]; -\node at (B) {$2$}; - -\fill[color=white] (C) circle[radius=\r]; -\draw (C) circle[radius=\r]; -\node at (C) {$1$}; - -\end{tikzpicture} +\includegraphics{chapters/80-wahrscheinlichkeit/images/spielBtilde.pdf} \caption{Zustandsdiagramm für das modifizerte Spiel $\tilde{B}$, Zustände sind die Dreierreste des Kapitals. Gegenüber dem Spiel $B$ |