Paper III: Typed Transfer, Nonlinear Packets, and Obstruction Theory

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,font=\sffamily\small,line cap=round,line join=round]
2 \draw[fill=black!10,draw=black!40,line width=.35pt,] (2.50000,3.80000) rectangle ++(1.80000,0.60000);
3 \node[] at (3.40000,4.10000) {$-2$};
4 \draw[fill=black!22,draw=black!40,line width=.35pt,] (2.50000,2.90000) rectangle ++(1.80000,0.70000);
5 \node[] at (3.40000,3.25000) {$3$};
6 \draw[fill=black!22,draw=black!40,line width=.35pt,] (2.50000,2.00000) rectangle ++(1.80000,0.70000);
7 \node[] at (3.40000,2.35000) {$-3$};
8 \node[font=\sffamily\footnotesize] at (3.40000,0.55000) {rejected};
9 \draw[fill=black!10,draw=black!40,line width=.35pt,] (4.30000,3.80000) rectangle ++(1.80000,0.60000);
10 \node[] at (5.20000,4.10000) {$-1$};
11 \draw[fill=black!0,draw=black!40,line width=.35pt,] (4.30000,2.90000) rectangle ++(1.80000,0.70000);
12 \node[] at (5.20000,3.25000) {$0$};
13 \draw[fill=black!22,draw=black!40,line width=.35pt,] (4.30000,2.00000) rectangle ++(1.80000,0.70000);
14 \node[] at (5.20000,2.35000) {$-2$};
15 \node[font=\sffamily\footnotesize] at (5.20000,0.55000) {rejected};
16 \draw[fill=black!10,draw=black!40,line width=.35pt,] (6.10000,3.80000) rectangle ++(1.80000,0.60000);
17 \node[] at (7.00000,4.10000) {$0$};
18 \draw[fill=black!22,draw=black!40,line width=.35pt,] (6.10000,2.90000) rectangle ++(1.80000,0.70000);
19 \node[] at (7.00000,3.25000) {$-1$};
20 \draw[fill=black!22,draw=black!40,line width=.35pt,] (6.10000,2.00000) rectangle ++(1.80000,0.70000);
21 \node[] at (7.00000,2.35000) {$-1$};
22 \node[font=\sffamily\footnotesize] at (7.00000,0.55000) {rejected};
23 \draw[fill=black!10,draw=black!40,line width=.35pt,] (7.90000,3.80000) rectangle ++(1.80000,0.60000);
24 \node[] at (8.80000,4.10000) {$1$};
25 \draw[fill=black!0,draw=black!40,line width=.35pt,] (7.90000,2.90000) rectangle ++(1.80000,0.70000);
26 \node[] at (8.80000,3.25000) {$0$};
27 \draw[fill=black!0,draw=black!40,line width=.35pt,] (7.90000,2.00000) rectangle ++(1.80000,0.70000);
28 \node[] at (8.80000,2.35000) {$0$};
29 \node[font=\sffamily\footnotesize] at (8.80000,0.55000) {solution};
30 \draw[fill=black!10,draw=black!40,line width=.35pt,] (9.70000,3.80000) rectangle ++(1.80000,0.60000);
31 \node[] at (10.60000,4.10000) {$2$};
32 \draw[fill=black!22,draw=black!40,line width=.35pt,] (9.70000,2.90000) rectangle ++(1.80000,0.70000);
33 \node[] at (10.60000,3.25000) {$3$};
34 \draw[fill=black!22,draw=black!40,line width=.35pt,] (9.70000,2.00000) rectangle ++(1.80000,0.70000);
35 \node[] at (10.60000,2.35000) {$1$};
36 \node[font=\sffamily\footnotesize] at (10.60000,0.55000) {rejected};
37 \node[anchor=east] at (2.20000,4.10000) {candidate $x$};
38 \node[anchor=east] at (2.20000,3.25000) {$r(x,0)=x^2-1$};
39 \node[anchor=east] at (2.20000,2.35000) {$r(x,1)=x-1$};
40 \node[] at (7.00000,-0.10000) {$x=-1:\quad r(-1,0)=0,\quad r(-1,1)=-2$};
41 \end{tikzpicture}

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