Paper VII: Quantum Seed Calculus

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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 (2.2,4.3) {$h=\frac{1}{4}$};
4 \node[font=\small,align=center,font=\small] at (2.2,3.3) {error (approx.)};
5 \node[font=\small,align=center,font=\small] at (2.2,2.65) {$\simeq 0.005197495$};
6 \node[font=\small,align=center,font=\small] at (2.2,1.65) {bound $h^2/12$};
7 \node[font=\small,align=center] at (2.2,1) {$\frac{1}{192}$};
8 \node[font=\small,align=center] at (7,4.3) {$h=\frac{1}{8}$};
9 \node[font=\small,align=center,font=\small] at (7,3.3) {error (approx.)};
10 \node[font=\small,align=center,font=\small] at (7,2.65) {$\simeq 0.001301405$};
11 \node[font=\small,align=center,font=\small] at (7,1.65) {bound $h^2/12$};
12 \node[font=\small,align=center] at (7,1) {$\frac{1}{768}$};
13 \node[font=\small,align=center] at (11.8,4.3) {$h=\frac{1}{16}$};
14 \node[font=\small,align=center,font=\small] at (11.8,3.3) {error (approx.)};
15 \node[font=\small,align=center,font=\small] at (11.8,2.65) {$\simeq 0.000325478$};
16 \node[font=\small,align=center,font=\small] at (11.8,1.65) {bound $h^2/12$};
17 \node[font=\small,align=center] at (11.8,1) {$\frac{1}{3072}$};
18 \node[font=\small,align=center,font=\small] at (7,0.05) {Successive error ratios lie strictly between $3.99$ and $4$.};
19 \end{tikzpicture}

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