Files
@ 66e3029da071
Branch filter:
Location: AENC/resampling_chain/diagram_circle_lemma.tex - annotation
66e3029da071
2.2 KiB
text/x-tex
Add copy of section for general graphs
aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 c2fa910c4916 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 c2fa910c4916 c2fa910c4916 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 c2fa910c4916 c2fa910c4916 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 aad4326b06f9 c2fa910c4916 c2fa910c4916 aad4326b06f9 aad4326b06f9 aad4326b06f9 c2fa910c4916 c2fa910c4916 c2fa910c4916 aad4326b06f9 aad4326b06f9 | \documentclass{standalone}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{parskip}
\usepackage[usenames,dvipsnames]{color}
\usepackage[hidelinks]{hyperref}
\renewcommand*{\familydefault}{\sfdefault}
\usepackage{bbm} %For \mathbbm{1}
%\usepackage{bbold}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\def\r{4};
\def\step{15};
% Line and circles
\foreach \a in {0,...,23} {
\draw[-] ({\a*\step}:\r) -- ({(\a+1)*\step}:\r);
\draw ({\a*\step}:\r) circle (0.05);
}
% Red dots
\foreach \a in {2,3,6,8,9,10,11,14,15,17,20} {
\draw[fill,red] ({\a*\step}:\r) circle (0.09);
}
% Blue squares
\foreach \a in {2,3,20} {
\draw[fill,blue] ({\a*\step}:{\r-0.3})+(-0.1,-0.1) rectangle +(0.1,0.1);
}
% Green triangles
\foreach \a in {6,8,9,10,11,14,15,17} {
\draw[fill,green] ({\a*\step}:{\r-0.3}) +(-0.15,-0.1) -- +(0.15,-0.1) -- +(0,0.15);
}
% Legend
\draw (-1,0)+(-0.5,-1) rectangle +(2.6,1);
\draw[fill,red] (-1.1,0.5) circle (0.09);
\draw[fill,blue] (-1.1,0) +(-0.1,-0.1) rectangle +(0.1,0.1);
\draw[fill,green] (-1.1,-0.5) +(-0.15,-0.1) -- +(0.15,-0.1) -- +(0,0.15);
\draw[anchor=west] (-1,0.5) node {$I$};
\draw[anchor=west] (-1,0) node {$I\cap [{\color{gray}n}{-l},r]_0$};
\draw[anchor=west] (-1,-0.5) node {$I\setminus[{\color{gray}n}{-l},r]_0$};
% Bigger circle
\foreach \a in {-5,...,3} {
\draw[-,dashed] ({\a*\step}:\r+1) -- ({(\a+1)*\step}:\r+1);
%\draw ({\a*\step}:\r+1) circle (0.05);
}
\draw ({-5*\step}:\r+1) +(0.2,-0.2) node {${\color{gray}n}{-l}$};
\draw ({4*\step}:\r+1) +(0.2,0.2) node {$r$};
%
% Arrows with labels
%
% 0
\draw ({0*\step}:\r-0.3) node {$0$};
% 1
\draw ({1*\step}:\r-0.3) node {$1$};
% n/2
\draw ({12*\step}:\r-0.3) node {$\frac{n}{2}$};
% n-1
\draw ({-1*\step}:\r-0.3) +(-0.4,0) node {${\color{gray}n}{-1}$};
% i_*
\draw[->] ({10*\step}:\r-1) -- ({10*\step}:\r-0.2);
\draw ({10*\step}:\r-1) +(0.3,0) node {$i_*$};
% j
\draw[->] ({0*\step}:\r-1.3) -- ({0*\step}:\r-0.8);
\draw ({0*\step}:\r-1) +(-0.4,0) node {$j$};
\end{tikzpicture}
\end{document}
|