diff --git a/diagram_paths.tex b/diagram_paths.tex new file mode 100644 index 0000000000000000000000000000000000000000..f86b4af62ba8ef2945f730dfafd96407e80e8036 --- /dev/null +++ b/diagram_paths.tex @@ -0,0 +1,66 @@ +\documentclass{standalone} +\usepackage[T1]{fontenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{parskip} +\usepackage{marvosym} %Lightning symbol +\usepackage[usenames,dvipsnames]{color} +\usepackage[hidelinks]{hyperref} +\renewcommand*{\familydefault}{\sfdefault} + +\usepackage{bbm} %For \mathbbm{1} +%\usepackage{bbold} +\usepackage{tikz} + +\begin{document} + +\begin{tikzpicture} + \draw[step=1cm,gray,dotted] (-0.9,-0.9) grid (8.9,6.9); + \foreach \x in {0,...,7} { + \foreach \y in {0,...,5} { + \draw[->] (\x,\y) -- (\x+0.9,\y); + \draw[->] (\x,\y) -- (\x,\y+0.9); + } + \draw [->] (\x,6) -- (\x+0.9,6); + } + \foreach \y in {0,...,5} + \draw [->] (8,\y) -- (8,\y+0.9); + + \draw (8,-0.2) node {$n_1$}; + \draw (-0.2,6) node {$n_2$}; + + \draw (4,-0.5) node {step of path 1}; + \node[rotate=90,anchor=south,xshift=3cm,yshift=0.5cm] {step of path 2}; + + \draw[fill,red] (0,0) circle (0.08); + \draw[fill,red] (8,6) circle (0.08); + + \def\x{5}; + \def\y{3}; + \draw[fill,black] (\x,\y) circle (0.07); + \draw[fill=white,draw=black] (\x+0.25,\y-0.26) rectangle +(0.5,0.5); + \draw[fill=white,draw=black] (\x-0.50,\y+0.26) rectangle +(1.0,0.5); + \draw (\x+0.5,\y) node {$p_j$}; + \draw (\x,\y+0.5) node {$1-p_j$}; + + \def\x{2}; + \def\y{2}; + \draw[fill,black] (\x,\y) circle (0.07); + \draw[fill=white,draw=black] (\x+0.25,\y-0.26) rectangle +(0.5,0.5); + \draw[fill=white,draw=black] (\x-0.50,\y+0.26) rectangle +(1.0,0.5); + \draw (\x+0.5,\y) node {$p_i$}; + \draw (\x,\y+0.5) node {$1-p_i$}; + + \def\x{8}; + \def\y{1}; + \draw[fill,black] (\x,\y) circle (0.07); + \draw[fill=white,draw=black] (\x-0.25,\y+0.26) rectangle +(0.5,0.5); + \draw (\x,\y+0.5) node {$1$}; + + \def\x{3}; + \def\y{6}; + \draw[fill,black] (\x,\y) circle (0.07); + \draw[fill=white,draw=black] (\x+0.25,\y-0.25) rectangle +(0.5,0.5); + \draw (\x+0.5,\y) node {$1$}; +\end{tikzpicture} +\end{document}