Fitxategi:Eigenvectors of a linear operator.gif
Nabigaziora joan
Bilaketara joan
Ez dago bereizmen handiagorik.
Eigenvectors_of_a_linear_operator.gif (480 × 486 pixel, fitxategiaren tamaina: 2,96 MB, MIME mota: image/gif, kiribildua, 122 irudi, 12s)
Oharra: muga teknikoak direla eta, erresoluzio handiko GIF irudi hau bezalakoak ez dira animatuak izango.
Laburpena
| Deskribapena |
English: A 2x2 real and symmetric matrix represent a stretching and shearing of the plane. The eigenvectors of the matrix (red lines) are the two special directions such that every point on them will just slide on them. |
| Data | |
| Jatorria | https://twitter.com/j_bertolotti/status/1354822527487340550 |
| Egilea | Jacopo Bertolotti |
| Lizentzia (Fitxategi hau berrerabiltzen) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 12.0 code
points = Flatten[CoordinateBoundingBoxArray[{{-50, -50}, {50, 50}}, 2], 1];
sinstep[t_] := Sin[\[Pi]/2 t]^2;
M = {{1.25, 0.3}, {0.3, 0.7}};
pointstransf = (M . #) & /@ points;
\[Psi] = Eigenvectors[M] // N;
frames = Table[
ListPlot[(1 - t) points + t*pointstransf, AspectRatio -> 1, PlotRange -> {{-25.5, 25.5}, {-25.5, 25.5}}, PlotStyle -> {PointSize[0.01], Black}, Ticks -> None, AxesLabel -> {"x", "y"}, LabelStyle -> {Black, Bold} ,
Epilog -> {Red, Line[{-50*\[Psi][[1]], 50*\[Psi][[1]]}], Line[{-50*\[Psi][[2]], 50*\[Psi][[2]]}]}]
, {t, 0, 1, 0.02}];
ListAnimate[Join[Table[frames[[1]], {10}], frames, Table[frames[[-1]], {10}], Reverse[frames]]]
Lizentzia
Nik, lan honen egileak, argitaratzen dut ondorengo lizentzia pean:
 
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Fitxategiaren historia
Data/orduan klik egin fitxategiak orduan zuen itxura ikusteko.
| Data/Ordua | Iruditxoa | Neurriak | Erabiltzailea | Iruzkina | |
|---|---|---|---|---|---|
| oraingoa | 15:49, 29 urtarrila 2021 | | 480 × 486 (2,96 MB) | wikimediacommons>Berto | Uploaded own work with UploadWizard |
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