smith_depth_budget.tex
Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets
smith_depth_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,font=\sffamily\small,line cap=round]
2 \draw[fill=black!45,draw=black!45,line width=.35pt,] (0.75000,0.00000) rectangle ++(0.78000,0.53000);
3 \draw[fill=black!75,draw=black!45,line width=.35pt,] (0.75000,0.53000) rectangle ++(0.78000,0.53000);
4 \node[] at (1.14000,1.34000) {$4$};
5 \node[] at (1.14000,-0.40000) {$1$};
6 \draw[fill=black!45,draw=black!45,line width=.35pt,] (2.20000,0.00000) rectangle ++(0.78000,0.53000);
7 \draw[fill=black!75,draw=black!45,line width=.35pt,] (2.20000,0.53000) rectangle ++(0.78000,1.06000);
8 \node[] at (2.59000,1.87000) {$8$};
9 \node[] at (2.59000,-0.40000) {$2$};
10 \draw[fill=black!45,draw=black!45,line width=.35pt,] (3.65000,0.00000) rectangle ++(0.78000,0.53000);
11 \draw[fill=black!75,draw=black!45,line width=.35pt,] (3.65000,0.53000) rectangle ++(0.78000,1.59000);
12 \node[] at (4.04000,2.40000) {$16$};
13 \node[] at (4.04000,-0.40000) {$3$};
14 \draw[fill=black!45,draw=black!45,line width=.35pt,] (5.10000,0.00000) rectangle ++(0.78000,0.53000);
15 \draw[fill=black!75,draw=black!45,line width=.35pt,] (5.10000,0.53000) rectangle ++(0.78000,1.59000);
16 \node[] at (5.49000,2.40000) {$16$};
17 \node[] at (5.49000,-0.40000) {$4$};
18 \draw[fill=black!45,draw=black!45,line width=.35pt,] (6.55000,0.00000) rectangle ++(0.78000,0.53000);
19 \draw[fill=black!75,draw=black!45,line width=.35pt,] (6.55000,0.53000) rectangle ++(0.78000,1.59000);
20 \node[] at (6.94000,2.40000) {$16$};
21 \node[] at (6.94000,-0.40000) {$5$};
22 \draw[fill=black!45,draw=black!45,line width=.35pt,] (8.00000,0.00000) rectangle ++(0.78000,0.53000);
23 \draw[fill=black!75,draw=black!45,line width=.35pt,] (8.00000,0.53000) rectangle ++(0.78000,1.59000);
24 \node[] at (8.39000,2.40000) {$16$};
25 \node[] at (8.39000,-0.40000) {$6$};
26 \draw[] (0.30000,0.00000) -- (9.30000,0.00000);
27 \node[] at (4.70000,-1.00000) {precision depth $L$};
28 \node[] at (4.70000,3.40000) {Bar height $=W(L)$; label $=2^{W(L)}$ solutions.};
29 \node[] at (10.50000,2.35000) {$s_2=3$};
30 \node[] at (10.50000,1.15000) {$s_1=1$};
31 \node[] at (10.50000,0.40000) {$s_0=0$};
32 \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: 447c2af18b1b81819510895faac2edfdeceb11d296988c7c57a1b54a202268bf
Back to Paper II: Refinement Towers, Weighted Transfer, and Integral Separation of Operator Packets