error_chain.tex

Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization

error_chain.tex

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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 \draw[line width=.6pt] (0.8,0.9) -- (5.8,0.9);
4 \node[font=\small,align=center] at (3.3,4.35) {local injected errors};
5 \path[draw=black,fill=black!12,line width=.6pt] (1.2,0.9) rectangle (2.066667,1.125);
6 \node[font=\small,align=center,font=\scriptsize] at (1.633333,0.6) {1};
7 \node[font=\small,align=center,font=\scriptsize] at (1.633333,1.345) {$\frac{1}{10}$};
8 \path[draw=black,fill=black!12,line width=.6pt] (2.866667,0.9) rectangle (3.733333,1.35);
9 \node[font=\small,align=center,font=\scriptsize] at (3.3,0.6) {2};
10 \node[font=\small,align=center,font=\scriptsize] at (3.3,1.57) {$\frac{1}{5}$};
11 \path[draw=black,fill=black!12,line width=.6pt] (4.533333,0.9) rectangle (5.4,1.0125);
12 \node[font=\small,align=center,font=\scriptsize] at (4.966667,0.6) {3};
13 \node[font=\small,align=center,font=\scriptsize] at (4.966667,1.2325) {$\frac{1}{20}$};
14 \draw[line width=.6pt] (8,0.9) -- (13,0.9);
15 \node[font=\small,align=center] at (10.5,4.35) {final contributions};
16 \path[draw=black,fill=black!12,line width=.6pt] (8.4,0.9) rectangle (9.266667,3.6);
17 \node[font=\small,align=center,font=\scriptsize] at (8.833333,0.6) {1};
18 \node[font=\small,align=center,font=\scriptsize] at (8.833333,3.82) {$\frac{6}{5}$};
19 \path[draw=black,fill=black!12,line width=.6pt] (10.066667,0.9) rectangle (10.933333,2.7);
20 \node[font=\small,align=center,font=\scriptsize] at (10.5,0.6) {2};
21 \node[font=\small,align=center,font=\scriptsize] at (10.5,2.92) {$\frac{4}{5}$};
22 \path[draw=black,fill=black!12,line width=.6pt] (11.733333,0.9) rectangle (12.6,1.0125);
23 \node[font=\small,align=center,font=\scriptsize] at (12.166667,0.6) {3};
24 \node[font=\small,align=center,font=\scriptsize] at (12.166667,1.2325) {$\frac{1}{20}$};
25 \node[font=\small,align=center,font=\scriptsize] at (7,0.05) {$\widehat p_j=a_j\widehat p_{j-1}+e_j$, with $(a_1,a_2,a_3)=(2,3,4)$.};
26 \end{tikzpicture}

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