three_resolutions.tex

Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets

three_resolutions.tex

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round]
2 \node[font=\sffamily\bfseries] at (2.00000,2.90000) {ADDRESS};
3 \node[font=\sffamily\bfseries] at (6.20000,2.90000) {WEIGHT};
4 \node[font=\sffamily\bfseries] at (10.40000,2.90000) {SEPARATION};
5 \draw[fill=black!12,draw=black!45,line width=.35pt,] (0.30000,1.65000) rectangle ++(0.80000,0.60000);
6 \node[] at (0.70000,1.95000) {$0$};
7 \draw[fill=black!12,draw=black!45,line width=.35pt,] (1.10000,1.65000) rectangle ++(0.80000,0.60000);
8 \node[] at (1.50000,1.95000) {$2$};
9 \draw[fill=black!12,draw=black!45,line width=.35pt,] (1.90000,1.65000) rectangle ++(0.80000,0.60000);
10 \node[] at (2.30000,1.95000) {$4$};
11 \draw[fill=black!12,draw=black!45,line width=.35pt,] (2.70000,1.65000) rectangle ++(0.80000,0.60000);
12 \node[] at (3.10000,1.95000) {$6$};
13 \draw[fill=black!28,draw=black!45,line width=.35pt,] (0.30000,0.65000) rectangle ++(0.80000,0.60000);
14 \node[] at (0.70000,0.95000) {$0$};
15 \draw[fill=black!28,draw=black!45,line width=.35pt,] (1.10000,0.65000) rectangle ++(0.80000,0.60000);
16 \node[] at (1.50000,0.95000) {$4$};
17 \draw[fill=black!5,draw=black!45,line width=.35pt,] (1.90000,0.65000) rectangle ++(0.80000,0.60000);
18 \node[] at (2.30000,0.95000) {$2$};
19 \draw[fill=black!5,draw=black!45,line width=.35pt,] (2.70000,0.65000) rectangle ++(0.80000,0.60000);
20 \node[] at (3.10000,0.95000) {$6$};
21 \node[font=\sffamily\footnotesize] at (1.90000,-0.15000) {$4\text{ coordinates at both levels}$};
22 \draw[fill=black!15,draw=black!45,line width=.35pt,] (4.50000,0.55000) rectangle ++(0.42000,0.43000);
23 \node[] at (4.71000,0.76500) {$a$};
24 \node[anchor=west] at (5.12000,0.76000) {$1$};
25 \draw[fill=black!30,draw=black!45,line width=.35pt,] (4.50000,1.15000) rectangle ++(0.84000,0.43000);
26 \node[] at (4.92000,1.36500) {$b$};
27 \node[anchor=west] at (5.54000,1.36000) {$2$};
28 \draw[fill=black!45,draw=black!45,line width=.35pt,] (4.50000,1.75000) rectangle ++(1.68000,0.43000);
29 \node[] at (5.34000,1.96500) {$aba$};
30 \node[anchor=west] at (6.38000,1.96000) {$4$};
31 \node[font=\sffamily\footnotesize] at (6.15000,-0.15000) {$W(aba)=1+2+1=4$};
32 \draw[fill=black!12,draw=black!45,line width=.35pt,] (9.10000,1.65000) rectangle ++(0.65000,0.65000);
33 \node[] at (9.42500,1.97500) {$1$};
34 \draw[fill=black!12,draw=black!45,line width=.35pt,] (9.75000,1.65000) rectangle ++(0.65000,0.65000);
35 \node[] at (10.07500,1.97500) {$\frac{1}{2}$};
36 \draw[fill=black!0,draw=black!45,line width=.35pt,] (9.10000,1.00000) rectangle ++(0.65000,0.65000);
37 \node[] at (9.42500,1.32500) {$0$};
38 \draw[fill=black!0,draw=black!45,line width=.35pt,] (9.75000,1.00000) rectangle ++(0.65000,0.65000);
39 \node[] at (10.07500,1.32500) {$0$};
40 \node[font=\sffamily\footnotesize] at (10.40000,-0.15000) {\shortstack{$2E_+$ integral\\$E_+$ not integral}};
41 \draw[black!25] (4.00000,-0.40000) -- (4.00000,3.20000);
42 \draw[black!25] (8.25000,-0.40000) -- (8.25000,3.20000);
43 \end{tikzpicture}

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