Fitxategi:Eigenvectors of a linear operator.gif
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)
 |
Fitxategi hau Wikimedia Commonsekoa da. Hango deskribapen orriko informazioa behean duzu. |
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:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
Fitxategiaren historia
Data/orduan klik egin fitxategiak orduan zuen itxura ikusteko.
| Data/Ordua | Iruditxoa | Neurriak | Erabiltzailea | Iruzkina | |
|---|---|---|---|---|---|
| oraingoa | 16:49, 29 urtarrila 2021 | | 480 × 486 (2,96 MB) | Berto | Uploaded own work with UploadWizard |
Irudira dakarten loturak
Hurrengo orrialdeek dute fitxategi honetarako lotura:
Fitxategiaren erabilera orokorra
Hurrengo beste wikiek fitxategi hau darabilte:
- en.wikipedia.org proiektuan duen erabilera
- id.wikipedia.org proiektuan duen erabilera
- vi.wikipedia.org proiektuan duen erabilera
