diff --git a/diagram_paths2.tex b/diagram_paths2.tex new file mode 100644 index 0000000000000000000000000000000000000000..9801516a32ded34b20db50ebddf6a41973d5a555 --- /dev/null +++ b/diagram_paths2.tex @@ -0,0 +1,107 @@ +\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} + \def\height{4}; + \draw[step=1cm,gray,dotted] (-0.9,-0.9) grid (8.9,\height+0.9); + + % + % Red line through grid + % + \draw [line width=3.0,red] (0,0) -- (0,1) -- (1,1) -- (2,1) -- (2,2); + + % + % Arrows of the grid + % + \foreach \x in {0,...,7} { + \foreach \y in {1,...,\height} { + \draw[->] (\x,\y-1) -- (\x+0.9,\y-1); + \draw[->] (\x,\y-1) -- (\x,\y-1+0.9); + } + \draw [->] (\x,\height) -- (\x+0.9,\height); + } + \foreach \y in {1,...,\height} %somehow the loop cant go to '\height-1' + \draw [->] (8,\y-1) -- (8,\y-1+0.9); % so we fix it like this with '\y-1' + + % + % Move labels + % + \foreach \y in {1,...,\height} { + \draw (-1, \y - 0.5) node {$(z_\y',s_\y',r_\y')$}; + } + \foreach \x in {1,...,8} { + \draw (\x-0.6, -1.4) node[rotate=70] {$(z_\x,s_\x,r_\x)$}; + } + + % + % bitstring labels + % + + \draw(-0.1,-0.4) node {$b_1\land b_2$}; + \draw(8.2,-0.4) node {$\mathbf{1} \land b_2$}; + \draw (-0.2,\height+0.3) node {$b_1\land\mathbf{1}$}; + \draw (8.2,\height+0.3) node {$\mathbf{1}$}; + + + % + % -> steps of xi + % + + \draw (4,-2.5) node {$\to$ steps of $\xi_1$}; + \node[rotate=90,anchor=south,xshift=2cm,yshift=1.9cm] {$\to$ steps of $\xi_2$}; + + % + % (Red) circles + % + + \draw[fill,red] (0,0) circle (0.08); + \draw[fill ] (8,0) circle (0.05); + \draw[fill ] (0,\height) circle (0.05); + \draw[fill,red] (8,\height) circle (0.08); + + % + % Probability labels + % + + \def\x{6}; + \def\y{3}; + \draw[fill,black] (\x,\y) circle (0.07); + \draw[fill=white,draw=black] (\x+0.23,\y-0.26) rectangle +(0.5,0.5); + \draw[fill=white,draw=black] (\x-0.55,\y+0.26) rectangle +(1.1,0.5); + \draw (\x+0.5,\y) node {$p_{ij}$}; + \draw (\x,\y+0.5) node {$1-p_{ij}$}; + + \def\x{2}; + \def\y{1}; + \draw[fill,black] (\x,\y) circle (0.07); + \draw[fill=white,draw=black] (\x+0.12,\y-0.26) rectangle +(0.7,0.5); + \draw[fill=white,draw=black] (\x-0.75,\y+0.26) rectangle +(1.5,0.5); + \draw (\x+0.5,\y) node {$p_{3,2}$}; + \draw (\x,\y+0.5) node {$1-p_{3,2}$}; + + \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{\height}; + \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}