row_budget.tex
Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates
row_budget.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 ++(0.4800,-0.4800);
4 \node[text=white,font=\scriptsize] at (0.2400,-0.2400) {$1$};
5 \filldraw[fill=black!5,draw=white,line width=.8pt] (0.4800,0.0000) rectangle ++(0.4800,-0.4800);
6 \node[text=black!45,font=\scriptsize] at (0.7200,-0.2400) {$0$};
7 \filldraw[fill=black!5,draw=white,line width=.8pt] (0.9600,0.0000) rectangle ++(0.4800,-0.4800);
8 \node[text=black!45,font=\scriptsize] at (1.2000,-0.2400) {$0$};
9 \filldraw[fill=black!5,draw=white,line width=.8pt] (1.4400,0.0000) rectangle ++(0.4800,-0.4800);
10 \node[text=black!45,font=\scriptsize] at (1.6800,-0.2400) {$0$};
11 \filldraw[fill=black!5,draw=white,line width=.8pt] (1.9200,0.0000) rectangle ++(0.4800,-0.4800);
12 \node[text=black!45,font=\scriptsize] at (2.1600,-0.2400) {$0$};
13 \filldraw[fill=black!5,draw=white,line width=.8pt] (0.0000,-0.4800) rectangle ++(0.4800,-0.4800);
14 \node[text=black!45,font=\scriptsize] at (0.2400,-0.7200) {$0$};
15 \filldraw[fill=black!78,draw=white,line width=.8pt] (0.4800,-0.4800) rectangle ++(0.4800,-0.4800);
16 \node[text=white,font=\scriptsize] at (0.7200,-0.7200) {$1$};
17 \filldraw[fill=black!5,draw=white,line width=.8pt] (0.9600,-0.4800) rectangle ++(0.4800,-0.4800);
18 \node[text=black!45,font=\scriptsize] at (1.2000,-0.7200) {$0$};
19 \filldraw[fill=black!5,draw=white,line width=.8pt] (1.4400,-0.4800) rectangle ++(0.4800,-0.4800);
20 \node[text=black!45,font=\scriptsize] at (1.6800,-0.7200) {$0$};
21 \filldraw[fill=black!5,draw=white,line width=.8pt] (1.9200,-0.4800) rectangle ++(0.4800,-0.4800);
22 \node[text=black!45,font=\scriptsize] at (2.1600,-0.7200) {$0$};
23 \draw[black!60,line width=.5pt] (0.0,0) rectangle ++(2.4,-0.96);
24 \node[font=\sffamily\bfseries\small] at (1.2000,0.4800) {$V_1$};
25 \filldraw[fill=black!5,draw=white,line width=.8pt] (3.3000,0.0000) rectangle ++(0.4800,-0.4800);
26 \node[text=black!45,font=\scriptsize] at (3.5400,-0.2400) {$0$};
27 \filldraw[fill=black!5,draw=white,line width=.8pt] (3.7800,0.0000) rectangle ++(0.4800,-0.4800);
28 \node[text=black!45,font=\scriptsize] at (4.0200,-0.2400) {$0$};
29 \filldraw[fill=black!78,draw=white,line width=.8pt] (4.2600,0.0000) rectangle ++(0.4800,-0.4800);
30 \node[text=white,font=\scriptsize] at (4.5000,-0.2400) {$1$};
31 \filldraw[fill=black!5,draw=white,line width=.8pt] (4.7400,0.0000) rectangle ++(0.4800,-0.4800);
32 \node[text=black!45,font=\scriptsize] at (4.9800,-0.2400) {$0$};
33 \filldraw[fill=black!5,draw=white,line width=.8pt] (5.2200,0.0000) rectangle ++(0.4800,-0.4800);
34 \node[text=black!45,font=\scriptsize] at (5.4600,-0.2400) {$0$};
35 \filldraw[fill=black!5,draw=white,line width=.8pt] (3.3000,-0.4800) rectangle ++(0.4800,-0.4800);
36 \node[text=black!45,font=\scriptsize] at (3.5400,-0.7200) {$0$};
37 \filldraw[fill=black!5,draw=white,line width=.8pt] (3.7800,-0.4800) rectangle ++(0.4800,-0.4800);
38 \node[text=black!45,font=\scriptsize] at (4.0200,-0.7200) {$0$};
39 \filldraw[fill=black!5,draw=white,line width=.8pt] (4.2600,-0.4800) rectangle ++(0.4800,-0.4800);
40 \node[text=black!45,font=\scriptsize] at (4.5000,-0.7200) {$0$};
41 \filldraw[fill=black!78,draw=white,line width=.8pt] (4.7400,-0.4800) rectangle ++(0.4800,-0.4800);
42 \node[text=white,font=\scriptsize] at (4.9800,-0.7200) {$1$};
43 \filldraw[fill=black!5,draw=white,line width=.8pt] (5.2200,-0.4800) rectangle ++(0.4800,-0.4800);
44 \node[text=black!45,font=\scriptsize] at (5.4600,-0.7200) {$0$};
45 \draw[black!60,line width=.5pt] (3.3,0) rectangle ++(2.4,-0.96);
46 \node[font=\sffamily\bfseries\small] at (4.5000,0.4800) {$V_2$};
47 \filldraw[fill=black!5,draw=white,line width=.8pt] (6.6000,0.0000) rectangle ++(0.4800,-0.4800);
48 \node[text=black!45,font=\scriptsize] at (6.8400,-0.2400) {$0$};
49 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.0800,0.0000) rectangle ++(0.4800,-0.4800);
50 \node[text=black!45,font=\scriptsize] at (7.3200,-0.2400) {$0$};
51 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.5600,0.0000) rectangle ++(0.4800,-0.4800);
52 \node[text=black!45,font=\scriptsize] at (7.8000,-0.2400) {$0$};
53 \filldraw[fill=black!5,draw=white,line width=.8pt] (8.0400,0.0000) rectangle ++(0.4800,-0.4800);
54 \node[text=black!45,font=\scriptsize] at (8.2800,-0.2400) {$0$};
55 \filldraw[fill=black!78,draw=white,line width=.8pt] (8.5200,0.0000) rectangle ++(0.4800,-0.4800);
56 \node[text=white,font=\scriptsize] at (8.7600,-0.2400) {$1$};
57 \filldraw[fill=black!5,draw=white,line width=.8pt] (6.6000,-0.4800) rectangle ++(0.4800,-0.4800);
58 \node[text=black!45,font=\scriptsize] at (6.8400,-0.7200) {$0$};
59 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.0800,-0.4800) rectangle ++(0.4800,-0.4800);
60 \node[text=black!45,font=\scriptsize] at (7.3200,-0.7200) {$0$};
61 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.5600,-0.4800) rectangle ++(0.4800,-0.4800);
62 \node[text=black!45,font=\scriptsize] at (7.8000,-0.7200) {$0$};
63 \filldraw[fill=black!5,draw=white,line width=.8pt] (8.0400,-0.4800) rectangle ++(0.4800,-0.4800);
64 \node[text=black!45,font=\scriptsize] at (8.2800,-0.7200) {$0$};
65 \filldraw[fill=black!5,draw=white,line width=.8pt] (8.5200,-0.4800) rectangle ++(0.4800,-0.4800);
66 \node[text=black!45,font=\scriptsize] at (8.7600,-0.7200) {$0$};
67 \draw[black!60,line width=.5pt] (6.6,0) rectangle ++(2.4,-0.96);
68 \node[font=\sffamily\bfseries\small] at (7.8000,0.4800) {$V_3$};
69 \node[font=\scriptsize] at (1.2000,-1.5500) {cumulative rank $4$};
70 \node[font=\scriptsize] at (4.5000,-1.5500) {cumulative rank $8$};
71 \node[font=\scriptsize] at (7.8000,-1.5500) {cumulative rank $10$};
72 \node[font=\small] at (4.5000,0.9500) {Each row is one direction in the five-dimensional multiplicity space.};
73 \end{tikzpicture}
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: b4a57be45c59d332cc9a7eaa7f2d9152ea927ed0cc57d80c02ff9a24a924d463
Back to Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates