three_views.tex

Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations

three_views.tex

Download original file

This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.

Read the typeset paper

Skip source text

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] (0.2,0.55) -- (4.2,0.55);
4 \node[font=\small,align=center] at (2.2,3.8) {Keep the full state};
5 \path[draw=black,fill=black!12,line width=.6pt] (0.44,0.55) rectangle (0.96,3.05);
6 \node[font=\small,align=center,font=\scriptsize] at (0.7,0.25) {0};
7 \node[font=\small,align=center,font=\scriptsize] at (0.7,3.27) {$\frac{1}{2}$};
8 \path[draw=black,fill=black!12,line width=.6pt] (1.44,0.55) rectangle (1.96,0.55);
9 \node[font=\small,align=center,font=\scriptsize] at (1.7,0.25) {1};
10 \node[font=\small,align=center,font=\scriptsize] at (1.7,0.77) {$0$};
11 \path[draw=black,fill=black!12,line width=.6pt] (2.44,0.55) rectangle (2.96,1.8);
12 \node[font=\small,align=center,font=\scriptsize] at (2.7,0.25) {2};
13 \node[font=\small,align=center,font=\scriptsize] at (2.7,2.02) {$\frac{1}{4}$};
14 \path[draw=black,fill=black!12,line width=.6pt] (3.44,0.55) rectangle (3.96,1.8);
15 \node[font=\small,align=center,font=\scriptsize] at (3.7,0.25) {3};
16 \node[font=\small,align=center,font=\scriptsize] at (3.7,2.02) {$\frac{1}{4}$};
17 \draw[line width=.6pt] (5.2,0.55) -- (8.3,0.55);
18 \node[font=\small,align=center] at (6.75,3.8) {Retain only masses};
19 \path[draw=black,fill=black!12,line width=.6pt] (5.572,0.55) rectangle (6.378,3.05);
20 \node[font=\small,align=center,font=\scriptsize] at (5.975,0.25) {packet A};
21 \node[font=\small,align=center,font=\scriptsize] at (5.975,3.27) {$\frac{1}{2}$};
22 \path[draw=black,fill=black!12,line width=.6pt] (7.122,0.55) rectangle (7.928,3.05);
23 \node[font=\small,align=center,font=\scriptsize] at (7.525,0.25) {packet B};
24 \node[font=\small,align=center,font=\scriptsize] at (7.525,3.27) {$\frac{1}{2}$};
25 \draw[black!30] (4.65,0.3) -- (4.65,4.4);
26 \draw[black!30] (9,0.3) -- (9,4.4);
27 \draw[black!13,line width=.25pt] (9.7,0.55) -- (9.7,3.25);
28 \draw[] (9.7,0.49) -- (9.7,0.61);
29 \node[font=\small,align=center,font=\scriptsize] at (9.7,0.29) {0};
30 \draw[black!13,line width=.25pt] (11,0.55) -- (11,3.25);
31 \draw[] (11,0.49) -- (11,0.61);
32 \node[font=\small,align=center,font=\scriptsize] at (11,0.29) {1};
33 \draw[black!13,line width=.25pt] (12.3,0.55) -- (12.3,3.25);
34 \draw[] (12.3,0.49) -- (12.3,0.61);
35 \node[font=\small,align=center,font=\scriptsize] at (12.3,0.29) {2};
36 \draw[black!13,line width=.25pt] (13.6,0.55) -- (13.6,3.25);
37 \draw[] (13.6,0.49) -- (13.6,0.61);
38 \node[font=\small,align=center,font=\scriptsize] at (13.6,0.29) {3};
39 \draw[black!13,line width=.25pt] (9.7,0.55) -- (13.6,0.55);
40 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (9.54,0.55) {0};
41 \draw[black!13,line width=.25pt] (9.7,1.9) -- (13.6,1.9);
42 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (9.54,1.9) {0.5};
43 \draw[black!13,line width=.25pt] (9.7,3.25) -- (13.6,3.25);
44 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (9.54,3.25) {1};
45 \draw[->,line width=.6pt] (9.7,0.55) -- (13.72,0.55);
46 \draw[->,line width=.6pt] (9.7,0.55) -- (9.7,3.37);
47 \node[font=\small,align=center,font=\scriptsize] at (11.65,0) {time};
48 \draw[line width=1.1pt] plot coordinates {(9.7,3.25) (9.739,3.171382) (9.778,3.097343) (9.817,3.027615) (9.856,2.961948) (9.895,2.900105) (9.934,2.841863) (9.973,2.787013) (10.012,2.735358) (10.051,2.68671) (10.09,2.640896) (10.129,2.597749) (10.168,2.557116) (10.207,2.518848) (10.246,2.482809) (10.285,2.448869) (10.324,2.416905) (10.363,2.386803) (10.402,2.358454) (10.441,2.331756) (10.48,2.306612) (10.519,2.282933) (10.558,2.260633) (10.597,2.239631) (10.636,2.219852) (10.675,2.201226) (10.714,2.183684) (10.753,2.167163) (10.792,2.151605) (10.831,2.136953) (10.87,2.123153) (10.909,2.110158) (10.948,2.097919) (10.987,2.086393) (11.026,2.075539) (11.065,2.065316) (11.104,2.055689) (11.143,2.046622) (11.182,2.038084) (11.221,2.030042) (11.26,2.022469) (11.299,2.015337) (11.338,2.00862) (11.377,2.002295) (11.416,1.996338) (11.455,1.990727) (11.494,1.985444) (11.533,1.980468) (11.572,1.975782) (11.611,1.971369) (11.65,1.967213) (11.689,1.963298) (11.728,1.959612) (11.767,1.956141) (11.806,1.952871) (11.845,1.949792) (11.884,1.946893) (11.923,1.944162) (11.962,1.94159) (12.001,1.939168) (12.04,1.936887) (12.079,1.934739) (12.118,1.932716) (12.157,1.930811) (12.196,1.929016) (12.235,1.927327) (12.274,1.925735) (12.313,1.924237) (12.352,1.922825) (12.391,1.921496) (12.43,1.920244) (12.469,1.919065) (12.508,1.917955) (12.547,1.916909) (12.586,1.915925) (12.625,1.914997) (12.664,1.914124) (12.703,1.913301) (12.742,1.912527) (12.781,1.911797) (12.82,1.91111) (12.859,1.910463) (12.898,1.909854) (12.937,1.90928) (12.976,1.90874) (13.015,1.908231) (13.054,1.907751) (13.093,1.9073) (13.132,1.906875) (13.171,1.906474) (13.21,1.906097) (13.249,1.905742) (13.288,1.905408) (13.327,1.905093) (13.366,1.904796) (13.405,1.904517) (13.444,1.904254) (13.483,1.904006) (13.522,1.903773) (13.561,1.903553) (13.6,1.903346)};
49 \draw[densely dashed,line width=.8pt] plot coordinates {(9.7,3.25) (9.739,3.170203) (9.778,3.092764) (9.817,3.017614) (9.856,2.944685) (9.895,2.873912) (9.934,2.80523) (9.973,2.738577) (10.012,2.673895) (10.051,2.611125) (10.09,2.550209) (10.129,2.491094) (10.168,2.433726) (10.207,2.378054) (10.246,2.324026) (10.285,2.271596) (10.324,2.220715) (10.363,2.171338) (10.402,2.12342) (10.441,2.076919) (10.48,2.031791) (10.519,1.987998) (10.558,1.945499) (10.597,1.904255) (10.636,1.864231) (10.675,1.82539) (10.714,1.787696) (10.753,1.751117) (10.792,1.715618) (10.831,1.681169) (10.87,1.647738) (10.909,1.615295) (10.948,1.583811) (10.987,1.553257) (11.026,1.523606) (11.065,1.494832) (11.104,1.466908) (11.143,1.439809) (11.182,1.413511) (11.221,1.387991) (11.26,1.363224) (11.299,1.33919) (11.338,1.315866) (11.377,1.293231) (11.416,1.271265) (11.455,1.249949) (11.494,1.229262) (11.533,1.209187) (11.572,1.189705) (11.611,1.170799) (11.65,1.152451) (11.689,1.134646) (11.728,1.117367) (11.767,1.100599) (11.806,1.084326) (11.845,1.068535) (11.884,1.05321) (11.923,1.038338) (11.962,1.023905) (12.001,1.009899) (12.04,0.996307) (12.079,0.983117) (12.118,0.970316) (12.157,0.957894) (12.196,0.945839) (12.235,0.93414) (12.274,0.922787) (12.313,0.911769) (12.352,0.901078) (12.391,0.890702) (12.43,0.880632) (12.469,0.870861) (12.508,0.861378) (12.547,0.852175) (12.586,0.843245) (12.625,0.834578) (12.664,0.826167) (12.703,0.818005) (12.742,0.810085) (12.781,0.802398) (12.82,0.794938) (12.859,0.787699) (12.898,0.780674) (12.937,0.773857) (12.976,0.767241) (13.015,0.76082) (13.054,0.75459) (13.093,0.748543) (13.132,0.742675) (13.171,0.736981) (13.21,0.731455) (13.249,0.726092) (13.288,0.720888) (13.327,0.715837) (13.366,0.710936) (13.405,0.70618) (13.444,0.701564) (13.483,0.697084) (13.522,0.692737) (13.561,0.688519) (13.6,0.684425)};
50 \node[font=\small,align=center] at (11.7,4.05) {Eliminate a hidden state};
51 \node[font=\small,align=center,font=\scriptsize] at (11.7,3.62) {solid: exact; dashed: omit coupling};
52 \end{tikzpicture}

Back to source controls

Other PDFs for this work

Original file and source record

This copy matches the recorded source file. Its publication here does not change the work’s review status.

SHA-256: 1912b4ee138926e4a467705069719f8185b9c71bd4ec70757f80af8072685476

Original source on GitHub

Back to Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations