Question

Why are there two different (left) Jacobian definitions of SO(3) and what are the differences?

score 279 · Answer 1 · 2026-03-25 06:05:13

279

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Why are there two different (left) Jacobian definitions of SO(3) and what are the differences?

Published on 25 Mar 2026 - 6:05

score 135 · Answer 2 · 2026-03-28 22:35:51

135

Views

Relating Basis Vectors in Rotated Reference Frames

Published on 28 Mar 2026 - 22:35

score 100 · Answer 3 · 2023-03-09 21:31:13

100

Views

3D rotation matrix between coordinate systems when knowing new x and y axis?

Published on 09 Mar 2023 - 21:31

score 57 · Answer 4 · 2026-03-30 15:01:35

57

Views

Is it possible to multiply a quaternion by a $3\times 3$ matrix?

Published on 30 Mar 2026 - 15:01

score 62 · Answer 5 · 2026-03-26 17:33:33

62

Views

Expectation w.r.t. Haar measure of $R\cdot\text{diag}(R^\top \Sigma R) \cdot R^\top$

Published on 26 Mar 2026 - 17:33

score 58 · Answer 6 · 2023-03-10 23:01:11

58

Views

How can I calculate a rotation matrix around an arbitrary axis?

Published on 10 Mar 2023 - 23:01

score 237 · Answer 7 · 2026-04-01 06:03:54

237

Views

How does the Covariance matrix encode rotations?

Published on 01 Apr 2026 - 6:03

score 470 · Answer 8 · 2023-03-17 06:17:07

470

Views

Can an arbitrary 3-d shape be fitted inside a cube so it touches all the sides?

Published on 17 Mar 2023 - 6:17

score 300 · Answer 9 · 2026-03-26 11:04:48

300

Views

What is the vorticity of a velocity field?

Published on 26 Mar 2026 - 11:04

score 53 · Answer 10 · 2023-03-19 11:53:40

53

Views

How do I find the "effective" yaw, pitch and roll from a rotated Inertial Measurement Unit?

Published on 19 Mar 2023 - 11:53

score 391 · Answer 11 · 2026-03-30 16:48:48

391

Views

find quaternion to rotate a point towards another point in 3d space

Published on 30 Mar 2026 - 16:48

score 73 · Answer 12 · 2023-03-23 02:56:46

73

Views

How to prove two alternative rotation matrix (maps one vector to another) equal?

Published on 23 Mar 2023 - 2:56

score 350 · Answer 13 · 2026-03-27 05:36:26

350

Views

Computing the Right Jacobian on Lie Group

Published on 27 Mar 2026 - 5:36

score 47 · Answer 14 · 2026-03-28 03:27:26

47

Views

Prove this conjecture: Two lists of vectors are in the same orientation iff this transformation exists

Published on 28 Mar 2026 - 3:27

score 63 · Answer 15 · 2026-04-01 01:38:50

63

Views

Orthogonal vectors in 4D

Published on 01 Apr 2026 - 1:38

List Question

Why are there two different (left) Jacobian definitions of SO(3) and what are the differences?

Relating Basis Vectors in Rotated Reference Frames

3D rotation matrix between coordinate systems when knowing new x and y axis?

Is it possible to multiply a quaternion by a $3\times 3$ matrix?

Expectation w.r.t. Haar measure of $R\cdot\text{diag}(R^\top \Sigma R) \cdot R^\top$

How can I calculate a rotation matrix around an arbitrary axis?

How does the Covariance matrix encode rotations?

Can an arbitrary 3-d shape be fitted inside a cube so it touches all the sides?

What is the vorticity of a velocity field?

How do I find the "effective" yaw, pitch and roll from a rotated Inertial Measurement Unit?

find quaternion to rotate a point towards another point in 3d space

How to prove two alternative rotation matrix (maps one vector to another) equal?

Computing the Right Jacobian on Lie Group

Prove this conjecture: Two lists of vectors are in the same orientation iff this transformation exists

Orthogonal vectors in 4D

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