16_multiplicities.tex

Paper X: Universal Residual Seeds and Conditional Occupied-System Completion

16_multiplicities.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 \node[font=\small,align=center] at (3,4.4) {trace data $\boldsymbol b$};
4 \node[font=\small,align=center] at (7.4,4.4) {$C^{-1}\boldsymbol b$};
5 \node[font=\small,align=center] at (11.5,4.4) {capacity $(2,1,1)$};
6 \draw[black!25] (0.8,3.15) -- (13.3,3.15);
7 \node[font=\small,align=center] at (3,3.55) {$(4,2,1)$};
8 \node[font=\small,align=center] at (7.4,3.55) {$(2,0,1)$};
9 \node[font=\small,align=center,font=\footnotesize] at (11.5,3.55) {allowed};
10 \draw[black!25] (0.8,2.25) -- (13.3,2.25);
11 \node[font=\small,align=center] at (3,2.65) {$(1,0,0)$};
12 \node[font=\small,align=center] at (7.4,2.65) {$(\frac{1}{6},\frac{1}{6},\frac{1}{3})$};
13 \node[font=\small,align=center,font=\footnotesize] at (11.5,2.65) {nonintegral};
14 \draw[black!25] (0.8,1.35) -- (13.3,1.35);
15 \node[font=\small,align=center] at (3,1.75) {$(2,-2,-1)$};
16 \node[font=\small,align=center] at (7.4,1.75) {$(-1,1,1)$};
17 \node[font=\small,align=center,font=\footnotesize] at (11.5,1.75) {negative};
18 \draw[black!25] (0.8,0.45) -- (13.3,0.45);
19 \node[font=\small,align=center] at (3,0.85) {$(5,3,2)$};
20 \node[font=\small,align=center] at (7.4,0.85) {$(3,0,1)$};
21 \node[font=\small,align=center,font=\footnotesize] at (11.5,0.85) {over capacity};
22 \end{tikzpicture}

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