06_weights.tex
Paper X: Universal Residual Seeds and Conditional Occupied-System Completion
06_weights.tex
This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.
1 \begin{tikzpicture}[x=1cm,y=1cm,>=Stealth,line cap=round,line join=round]
2 \path[use as bounding box] (0,-.6) rectangle (14,4.8);
3 \node[font=\small,align=center,font=\scriptsize] at (3.25,4.4) {$m=1$};
4 \node[font=\small,align=center,font=\scriptsize] at (4.6,4.4) {$m=2$};
5 \node[font=\small,align=center,font=\scriptsize] at (5.95,4.4) {$m=3$};
6 \node[font=\small,align=center,font=\scriptsize] at (7.3,4.4) {$m=4$};
7 \node[font=\small,align=center,font=\scriptsize] at (8.65,4.4) {$m=5$};
8 \node[font=\small,align=center,font=\scriptsize] at (10,4.4) {$m=6$};
9 \node[font=\small,align=center,font=\scriptsize] at (11.35,4.4) {$m=7$};
10 \node[font=\small,align=center,anchor=east] at (1.75,3.56) {$w_1=1$};
11 \path[draw=black!35,fill=white] (2.6,3.2) rectangle (3.9,3.87);
12 \node[font=\small,align=center] at (3.25,3.55) {$0$};
13 \path[draw=black!35,fill=black!14] (3.95,3.2) rectangle (5.25,3.87);
14 \node[font=\small,align=center] at (4.6,3.55) {$1$};
15 \path[draw=black!35,fill=black!14] (5.3,3.2) rectangle (6.6,3.87);
16 \node[font=\small,align=center] at (5.95,3.55) {$2$};
17 \path[draw=black!35,fill=black!14] (6.65,3.2) rectangle (7.95,3.87);
18 \node[font=\small,align=center] at (7.3,3.55) {$3$};
19 \path[draw=black!35,fill=black!14] (8,3.2) rectangle (9.3,3.87);
20 \node[font=\small,align=center] at (8.65,3.55) {$4$};
21 \path[draw=black!35,fill=black!14] (9.35,3.2) rectangle (10.65,3.87);
22 \node[font=\small,align=center] at (10,3.55) {$5$};
23 \path[draw=black!35,fill=black!14] (10.7,3.2) rectangle (12,3.87);
24 \node[font=\small,align=center] at (11.35,3.55) {$6$};
25 \node[font=\small,align=center,anchor=east] at (1.75,2.66) {$w_2=2$};
26 \path[draw=black!35,fill=white] (2.6,2.3) rectangle (3.9,2.97);
27 \node[font=\small,align=center] at (3.25,2.65) {$0$};
28 \path[draw=black!35,fill=white] (3.95,2.3) rectangle (5.25,2.97);
29 \node[font=\small,align=center] at (4.6,2.65) {$0$};
30 \path[draw=black!35,fill=black!14] (5.3,2.3) rectangle (6.6,2.97);
31 \node[font=\small,align=center] at (5.95,2.65) {$1$};
32 \path[draw=black!35,fill=black!14] (6.65,2.3) rectangle (7.95,2.97);
33 \node[font=\small,align=center] at (7.3,2.65) {$2$};
34 \path[draw=black!35,fill=black!14] (8,2.3) rectangle (9.3,2.97);
35 \node[font=\small,align=center] at (8.65,2.65) {$3$};
36 \path[draw=black!35,fill=black!14] (9.35,2.3) rectangle (10.65,2.97);
37 \node[font=\small,align=center] at (10,2.65) {$4$};
38 \path[draw=black!35,fill=black!14] (10.7,2.3) rectangle (12,2.97);
39 \node[font=\small,align=center] at (11.35,2.65) {$5$};
40 \node[font=\small,align=center,anchor=east] at (1.75,1.76) {$w_3=4$};
41 \path[draw=black!35,fill=white] (2.6,1.4) rectangle (3.9,2.07);
42 \node[font=\small,align=center] at (3.25,1.75) {$0$};
43 \path[draw=black!35,fill=white] (3.95,1.4) rectangle (5.25,2.07);
44 \node[font=\small,align=center] at (4.6,1.75) {$0$};
45 \path[draw=black!35,fill=white] (5.3,1.4) rectangle (6.6,2.07);
46 \node[font=\small,align=center] at (5.95,1.75) {$0$};
47 \path[draw=black!35,fill=white] (6.65,1.4) rectangle (7.95,2.07);
48 \node[font=\small,align=center] at (7.3,1.75) {$0$};
49 \path[draw=black!35,fill=black!14] (8,1.4) rectangle (9.3,2.07);
50 \node[font=\small,align=center] at (8.65,1.75) {$1$};
51 \path[draw=black!35,fill=black!14] (9.35,1.4) rectangle (10.65,2.07);
52 \node[font=\small,align=center] at (10,1.75) {$2$};
53 \path[draw=black!35,fill=black!14] (10.7,1.4) rectangle (12,2.07);
54 \node[font=\small,align=center] at (11.35,1.75) {$3$};
55 \node[font=\small,align=center,anchor=east] at (1.75,0.65) {count};
56 \node[font=\small,align=center,font=\scriptsize] at (3.25,0.65) {$1$};
57 \node[font=\small,align=center,font=\scriptsize] at (4.6,0.65) {$2$};
58 \node[font=\small,align=center,font=\scriptsize] at (5.95,0.65) {$8$};
59 \node[font=\small,align=center,font=\scriptsize] at (7.3,0.65) {$32$};
60 \node[font=\small,align=center,font=\scriptsize] at (8.65,0.65) {$256$};
61 \node[font=\small,align=center,font=\scriptsize] at (10,0.65) {$2048$};
62 \node[font=\small,align=center,font=\scriptsize] at (11.35,0.65) {$16384$};
63 \node[font=\small,align=center,font=\footnotesize] at (7,-0.05) {Cell = number of free binary digits, not first separation depth.};
64 \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: b0867bb3cd4548bdd9defeb404b1eb6e3f2a3c8ea817e874aa18ded7717ce3f2
Back to Paper X: Universal Residual Seeds and Conditional Occupied-System Completion