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Location: AENC/resampling_chain/diagram_groups.tex - annotation
5f02d6bd36ea
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Add proof of Lemma 12
0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 afc7a8577863 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 82e14757bd1a 0aef3bd8b292 0aef3bd8b292 afc7a8577863 afc7a8577863 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 afc7a8577863 afc7a8577863 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 82e14757bd1a 82e14757bd1a 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 | \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}[scale=0.8]
\def\r{2.5};
% Line and circles
\foreach \a in {0,...,23} {
\draw[-] ({\a*15}:\r) -- ({(\a+1)*15}:\r);
\draw ({\a*15}:\r) circle (0.05);
}
% Red dots
\foreach \a in {-3,0,2,3,4,5,6} {
\draw[fill,red] ({\a*15}:\r) circle (0.12);
}
% Red label
\draw [fill,red] ({2*15}:\r/2) circle (0.12);
\draw ({2*15}:\r/2) +(0,-0.3) node {zeroes of $b_2$};
% Blue squares
\foreach \a in {9,10,11,14,16,17} {
\draw[fill,blue] ({\a*15}:\r) +(-0.15,-0.1) -- +(0.15,-0.1) -- +(0,0.15);
}
% Blue label
\draw[fill,blue] ({12*15}:\r/2) +(-0.15,-0.1) -- +(0.15,-0.1) -- +(0,0.15);
\draw ({12*15}:\r/2) +(0,-0.3) node {zeroes of $b_1$};
% Arrows
\draw[->] ({7*15}:\r-1) -- ({7*15}:\r-0.2);
\draw[->] ({20*15}:\r-1) -- ({20*15}:\r-0.2);
% Labels j1 j2
\draw ({7*15}:\r-1) +(0,-0.2) node {$v$};
\draw ({20*15}:\r-1) +(0,+0.2) node {$w$};
\end{tikzpicture}
\end{document}
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