transported_packets.tex
Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates
transported_packets.tex
This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.
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 ++(0.8000,-0.8000);
4 \node[text=white,font=\scriptsize] at (0.4000,-0.4000) {$1$};
5 \filldraw[fill=black!5,draw=white,line width=.8pt] (0.8000,0.0000) rectangle ++(0.8000,-0.8000);
6 \node[text=black!45,font=\scriptsize] at (1.2000,-0.4000) {$0$};
7 \filldraw[fill=black!5,draw=white,line width=.8pt] (0.0000,-0.8000) rectangle ++(0.8000,-0.8000);
8 \node[text=black!45,font=\scriptsize] at (0.4000,-1.2000) {$0$};
9 \filldraw[fill=black!78,draw=white,line width=.8pt] (0.8000,-0.8000) rectangle ++(0.8000,-0.8000);
10 \node[text=white,font=\scriptsize] at (1.2000,-1.2000) {$2$};
11 \draw[black!60,line width=.5pt] (0,0) rectangle ++(1.6,-1.6);
12 \node[font=\sffamily\bfseries\small] at (0.8000,0.4800) {$T$};
13 \filldraw[fill=black!78,draw=white,line width=.8pt] (3.1000,0.0000) rectangle ++(0.8000,-0.8000);
14 \node[text=white,font=\scriptsize] at (3.5000,-0.4000) {$1$};
15 \filldraw[fill=black!78,draw=white,line width=.8pt] (3.9000,0.0000) rectangle ++(0.8000,-0.8000);
16 \node[text=white,font=\scriptsize] at (4.3000,-0.4000) {$1$};
17 \filldraw[fill=black!5,draw=white,line width=.8pt] (3.1000,-0.8000) rectangle ++(0.8000,-0.8000);
18 \node[text=black!45,font=\scriptsize] at (3.5000,-1.2000) {$0$};
19 \filldraw[fill=black!78,draw=white,line width=.8pt] (3.9000,-0.8000) rectangle ++(0.8000,-0.8000);
20 \node[text=white,font=\scriptsize] at (4.3000,-1.2000) {$1$};
21 \draw[black!60,line width=.5pt] (3.1,0) rectangle ++(1.6,-1.6);
22 \node[font=\sffamily\bfseries\small] at (3.9000,0.4800) {$U$};
23 \filldraw[fill=black!78,draw=white,line width=.8pt] (6.2000,0.0000) rectangle ++(0.8000,-0.8000);
24 \node[text=white,font=\scriptsize] at (6.6000,-0.4000) {$1$};
25 \filldraw[fill=black!78,draw=white,line width=.8pt] (7.0000,0.0000) rectangle ++(0.8000,-0.8000);
26 \node[text=white,font=\scriptsize] at (7.4000,-0.4000) {$1$};
27 \filldraw[fill=black!5,draw=white,line width=.8pt] (6.2000,-0.8000) rectangle ++(0.8000,-0.8000);
28 \node[text=black!45,font=\scriptsize] at (6.6000,-1.2000) {$0$};
29 \filldraw[fill=black!78,draw=white,line width=.8pt] (7.0000,-0.8000) rectangle ++(0.8000,-0.8000);
30 \node[text=white,font=\scriptsize] at (7.4000,-1.2000) {$2$};
31 \draw[black!60,line width=.5pt] (6.2,0) rectangle ++(1.6,-1.6);
32 \node[font=\sffamily\bfseries\small] at (7.0000,0.4800) {$UTU^{-1}$};
33 \filldraw[fill=black!78,draw=white,line width=.8pt] (1.5500,-2.9000) rectangle ++(0.8000,-0.8000);
34 \node[text=white,font=\scriptsize] at (1.9500,-3.3000) {$1$};
35 \filldraw[fill=black!22,draw=white,line width=.8pt] (2.3500,-2.9000) rectangle ++(0.8000,-0.8000);
36 \node[text=black,font=\scriptsize] at (2.7500,-3.3000) {$-1$};
37 \filldraw[fill=black!5,draw=white,line width=.8pt] (1.5500,-3.7000) rectangle ++(0.8000,-0.8000);
38 \node[text=black!45,font=\scriptsize] at (1.9500,-4.1000) {$0$};
39 \filldraw[fill=black!5,draw=white,line width=.8pt] (2.3500,-3.7000) rectangle ++(0.8000,-0.8000);
40 \node[text=black!45,font=\scriptsize] at (2.7500,-4.1000) {$0$};
41 \draw[black!60,line width=.5pt] (1.55,-2.9) rectangle ++(1.6,-1.6);
42 \node[font=\sffamily\bfseries\small] at (2.3500,-2.4200) {$Q_1=UP_1U^{-1}$};
43 \filldraw[fill=black!5,draw=white,line width=.8pt] (4.6500,-2.9000) rectangle ++(0.8000,-0.8000);
44 \node[text=black!45,font=\scriptsize] at (5.0500,-3.3000) {$0$};
45 \filldraw[fill=black!78,draw=white,line width=.8pt] (5.4500,-2.9000) rectangle ++(0.8000,-0.8000);
46 \node[text=white,font=\scriptsize] at (5.8500,-3.3000) {$1$};
47 \filldraw[fill=black!5,draw=white,line width=.8pt] (4.6500,-3.7000) rectangle ++(0.8000,-0.8000);
48 \node[text=black!45,font=\scriptsize] at (5.0500,-4.1000) {$0$};
49 \filldraw[fill=black!78,draw=white,line width=.8pt] (5.4500,-3.7000) rectangle ++(0.8000,-0.8000);
50 \node[text=white,font=\scriptsize] at (5.8500,-4.1000) {$1$};
51 \draw[black!60,line width=.5pt] (4.65,-2.9) rectangle ++(1.6,-1.6);
52 \node[font=\sffamily\bfseries\small] at (5.4500,-2.4200) {$Q_2=UP_2U^{-1}$};
53 \end{tikzpicture}
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