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Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,
2  every node/.style={font=\sffamily\small},line cap=round,line join=round]
3 \fill[black!6] (1.75,-.05) rectangle (5.25,2.65);
4 \draw[->,black!45] (-0.1000,0.0000) -- (7.6000,0.0000);
5 \draw[line width=1pt] (0.0000,0.0000) -- (0.0000,0.0187);
6 \fill (0.0,0.01875) circle (1.4pt);
7 \draw[line width=1pt] (0.5000,0.0000) -- (0.5000,0.0375);
8 \fill (0.5,0.0375) circle (1.4pt);
9 \node[font=\scriptsize] at (0.5000,-0.2800) {$-6$};
10 \draw[line width=1pt] (1.0000,0.0000) -- (1.0000,0.0750);
11 \fill (1.0,0.075) circle (1.4pt);
12 \draw[line width=1pt] (1.5000,0.0000) -- (1.5000,0.1500);
13 \fill (1.5,0.15) circle (1.4pt);
14 \draw[line width=1pt] (2.0000,0.0000) -- (2.0000,0.3000);
15 \fill (2.0,0.3) circle (1.4pt);
16 \node[font=\scriptsize] at (2.0000,-0.2800) {$-3$};
17 \draw[line width=1pt] (2.5000,0.0000) -- (2.5000,0.6000);
18 \fill (2.5,0.6) circle (1.4pt);
19 \draw[line width=1pt] (3.0000,0.0000) -- (3.0000,1.2000);
20 \fill (3.0,1.2) circle (1.4pt);
21 \draw[line width=1pt] (3.5000,0.0000) -- (3.5000,2.4000);
22 \fill (3.5,2.4) circle (1.4pt);
23 \node[font=\scriptsize] at (3.5000,-0.2800) {$0$};
24 \draw[line width=1pt] (4.0000,0.0000) -- (4.0000,1.2000);
25 \fill (4.0,1.2) circle (1.4pt);
26 \draw[line width=1pt] (4.5000,0.0000) -- (4.5000,0.6000);
27 \fill (4.5,0.6) circle (1.4pt);
28 \draw[line width=1pt] (5.0000,0.0000) -- (5.0000,0.3000);
29 \fill (5.0,0.3) circle (1.4pt);
30 \node[font=\scriptsize] at (5.0000,-0.2800) {$3$};
31 \draw[line width=1pt] (5.5000,0.0000) -- (5.5000,0.1500);
32 \fill (5.5,0.15) circle (1.4pt);
33 \draw[line width=1pt] (6.0000,0.0000) -- (6.0000,0.0750);
34 \fill (6.0,0.075) circle (1.4pt);
35 \draw[line width=1pt] (6.5000,0.0000) -- (6.5000,0.0375);
36 \fill (6.5,0.0375) circle (1.4pt);
37 \node[font=\scriptsize] at (6.5000,-0.2800) {$6$};
38 \draw[line width=1pt] (7.0000,0.0000) -- (7.0000,0.0187);
39 \fill (7.0,0.01875) circle (1.4pt);
40 \node[] at (3.5000,2.9900) {$x[n]=2^{-|n|}$};
41 \node[font=\small] at (3.5000,-0.8200) {shaded window: $|n|\le3$};
42 \node[anchor=west] at (7.7200,0.0000) {$n$};
43 \end{tikzpicture}

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