quotient_heads.tex

Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates

quotient_heads.tex

Download original file

This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.

Read the typeset paper

Skip source text

1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,
2  every node/.style={font=\sffamily\small},line cap=round,line join=round]
3 \filldraw[fill=black!78,draw=white,line width=.8pt] (0.0000,0.0000) rectangle ++(0.8500,-0.8500);
4 \node[text=white,font=\scriptsize] at (0.4250,-0.4250) {$1$};
5 \filldraw[fill=black!5,draw=white,line width=.8pt] (0.8500,0.0000) rectangle ++(0.8500,-0.8500);
6 \node[text=black!45,font=\scriptsize] at (1.2750,-0.4250) {$0$};
7 \filldraw[fill=black!5,draw=white,line width=.8pt] (1.7000,0.0000) rectangle ++(0.8500,-0.8500);
8 \node[text=black!45,font=\scriptsize] at (2.1250,-0.4250) {$0$};
9 \filldraw[fill=black!5,draw=white,line width=.8pt] (2.5500,0.0000) rectangle ++(0.8500,-0.8500);
10 \node[text=black!45,font=\scriptsize] at (2.9750,-0.4250) {$0$};
11 \filldraw[fill=black!5,draw=white,line width=.8pt] (3.4000,0.0000) rectangle ++(0.8500,-0.8500);
12 \node[text=black!45,font=\scriptsize] at (3.8250,-0.4250) {$0$};
13 \filldraw[fill=black!5,draw=white,line width=.8pt] (4.2500,0.0000) rectangle ++(0.8500,-0.8500);
14 \node[text=black!45,font=\scriptsize] at (4.6750,-0.4250) {$0$};
15 \filldraw[fill=black!5,draw=white,line width=.8pt] (0.0000,-0.8500) rectangle ++(0.8500,-0.8500);
16 \node[text=black!45,font=\scriptsize] at (0.4250,-1.2750) {$0$};
17 \filldraw[fill=black!5,draw=white,line width=.8pt] (0.8500,-0.8500) rectangle ++(0.8500,-0.8500);
18 \node[text=black!45,font=\scriptsize] at (1.2750,-1.2750) {$0$};
19 \filldraw[fill=black!5,draw=white,line width=.8pt] (1.7000,-0.8500) rectangle ++(0.8500,-0.8500);
20 \node[text=black!45,font=\scriptsize] at (2.1250,-1.2750) {$0$};
21 \filldraw[fill=black!78,draw=white,line width=.8pt] (2.5500,-0.8500) rectangle ++(0.8500,-0.8500);
22 \node[text=white,font=\scriptsize] at (2.9750,-1.2750) {$1$};
23 \filldraw[fill=black!5,draw=white,line width=.8pt] (3.4000,-0.8500) rectangle ++(0.8500,-0.8500);
24 \node[text=black!45,font=\scriptsize] at (3.8250,-1.2750) {$0$};
25 \filldraw[fill=black!5,draw=white,line width=.8pt] (4.2500,-0.8500) rectangle ++(0.8500,-0.8500);
26 \node[text=black!45,font=\scriptsize] at (4.6750,-1.2750) {$0$};
27 \draw[black!60,line width=.5pt] (0,0) rectangle ++(5.1,-1.7);
28 \node[font=\sffamily\bfseries\small] at (2.5500,0.4800) {The quotient keeps only the two chain heads};
29 \node[font=\scriptsize] at (0.4250,0.1900) {$e_0$};
30 \node[font=\scriptsize] at (1.2750,0.1900) {$e_1$};
31 \node[font=\scriptsize] at (2.1250,0.1900) {$e_2$};
32 \node[font=\scriptsize] at (2.9750,0.1900) {$f_0$};
33 \node[font=\scriptsize] at (3.8250,0.1900) {$f_1$};
34 \node[font=\scriptsize] at (4.6750,0.1900) {$f_2$};
35 \node[] at (2.5500,-2.1800) {$q(a_0,a_1,a_2,b_0,b_1,b_2)=(a_0,b_0)$};
36 \end{tikzpicture}

Back to source controls

Other PDFs for this work

Original file and source record

This copy matches the recorded source file. Its publication here does not change the work’s review status.

SHA-256: fb559b0aed711dc0fa9819369e24022662b78c25e9f093bb942c828fc9e3f8b5

Original source on GitHub

Back to Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates