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Location: AENC/resampling_chain/diagram_groups.tex - annotation
53e0f54cd945
1.3 KiB
text/x-tex
Add diagrams and proof of 'last part'
0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 0aef3bd8b292 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{4};
% 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 (0.07);
}
% Red label
\draw [fill,red] ({1*15}:\r/2) circle (0.07);
\draw ({1*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] ({11*15}:\r/2) +(-0.15,-0.1) -- +(0.15,-0.1) -- +(0,0.15);
\draw ({11*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 {$j_1$};
\draw ({20*15}:\r-1) +(0,+0.2) node {$j_2$};
\end{tikzpicture}
\end{document}
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