Question

Is a map which sends a $3\times 3$ symmetric tensor to an element of $SO(3)$ which diagonalizes it necessarily discontinuous?

score 128 · Answer 1 · 2026-03-30 06:50:09

128

Views

Is a map which sends a $3\times 3$ symmetric tensor to an element of $SO(3)$ which diagonalizes it necessarily discontinuous?

Published on 30 Mar 2026 - 6:50

score 436 · Answer 2 · 2026-04-04 11:58:43

436

Views

Rotations in 3D space: order of concatenated rotations.

Published on 04 Apr 2026 - 11:58

score 146 · Answer 3 · 2022-05-20 15:27:35

146

Views

General form of rank $2$ tensor invaiant under certain rotations

Published on 20 May 2022 - 15:27

score 66 · Answer 4 · 2026-04-10 22:27:55

66

Views

Counterpart of axis-angle rotation matrix in 4 dimensions?

Published on 10 Apr 2026 - 22:27

score 137 · Answer 5 · 2026-04-09 18:05:50

137

Views

Rotating about non-centered axis in 4-d

Published on 09 Apr 2026 - 18:05

score 36 · Answer 6 · 2022-05-27 07:40:04

36

Views

Decompose a $2\times 2$ matrix to a combination of rotation matrices

Published on 27 May 2022 - 7:40

score 108 · Answer 7 · 2026-04-06 06:31:43

108

Views

ODEs to calculate the rate of quaternions knowing the angular velocities

Published on 06 Apr 2026 - 6:31

score 355 · Answer 8 · 2022-05-30 10:21:24

355

Views

Formula to inscribe nested polygons tilted by $x^\circ$?

Published on 30 May 2022 - 10:21

score 359 · Answer 9 · 2022-06-02 21:12:01

359

Views

The eigenvalues of the generators of $SO(N)$

Published on 02 Jun 2022 - 21:12

score 27 · Answer 10 · 2026-04-11 17:54:34

27

Views

Rotation of Spherical Signals

Published on 11 Apr 2026 - 17:54

score 214 · Answer 11 · 2026-04-09 23:41:01

214

Views

How to convert/rotate Euler angles from one coordinate system to another

Published on 09 Apr 2026 - 23:41

score 34 · Answer 12 · 2026-03-28 16:45:51

34

Views

Calculate the maximum rotation angle of a rectangle to overlap a smaller rectangle within a fixed distance

Published on 28 Mar 2026 - 16:45

score 58 · Answer 13 · 2026-04-02 18:42:43

58

Views

How to specify a $k$-periodic rotation matrix in $N$ dimensions that, when applied to any vector $k$ times, returns the original vector?

Published on 02 Apr 2026 - 18:42

score 197 · Answer 14 · 2022-06-07 06:53:39

197

Views

Rotating polar velocity vector fields

Published on 07 Jun 2022 - 6:53

score 262 · Answer 15 · 2026-04-10 17:02:45

262

Views

How to rotate an object in-place along an arbitrary axis in three dimenstions

Published on 10 Apr 2026 - 17:02

List Question

Is a map which sends a $3\times 3$ symmetric tensor to an element of $SO(3)$ which diagonalizes it necessarily discontinuous?

Rotations in 3D space: order of concatenated rotations.

General form of rank $2$ tensor invaiant under certain rotations

Counterpart of axis-angle rotation matrix in 4 dimensions?

Rotating about non-centered axis in 4-d

Decompose a $2\times 2$ matrix to a combination of rotation matrices

ODEs to calculate the rate of quaternions knowing the angular velocities

Formula to inscribe nested polygons tilted by $x^\circ$?

The eigenvalues of the generators of $SO(N)$

Rotation of Spherical Signals

How to convert/rotate Euler angles from one coordinate system to another

Calculate the maximum rotation angle of a rectangle to overlap a smaller rectangle within a fixed distance

How to specify a $k$-periodic rotation matrix in $N$ dimensions that, when applied to any vector $k$ times, returns the original vector?

Rotating polar velocity vector fields

How to rotate an object in-place along an arbitrary axis in three dimenstions

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