Question

On the relationship between the volume element in curvilinear coordinates and the Jacobian

score 1k · Answer 1 · 2026-05-05 11:30:50

1k

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On the relationship between the volume element in curvilinear coordinates and the Jacobian

Published on 05 May 2026 - 11:30

score 191 · Answer 2 · 2026-05-05 10:23:33

191

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Why are these two ways of evaluating the curl of a vector field not actually equivalent?

Published on 05 May 2026 - 10:23

score 54 · Answer 3 · 2026-05-05 09:16:07

54

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Given $\alpha(x,y,z) = \alpha_1\hat x +\alpha_2 \hat y+\alpha_3 \hat z$, how to write in the coordinates $\hat r, \hat \theta, \hat \phi$

Published on 05 May 2026 - 9:16

score 3.3k · Answer 4 · 2026-05-05 10:21:35

3.3k

Views

Dot product in spherical coordinates

Published on 05 May 2026 - 10:21

score 663 · Answer 5 · 2026-05-05 10:22:48

663

Views

Expressing contravariant basis vectors in terms of position vector

Published on 05 May 2026 - 10:22

score 737 · Answer 6 · 2026-05-05 10:23:33

737

Views

Find the center of mass in 3D

Published on 05 May 2026 - 10:23

score 258 · Answer 7 · 2026-05-05 10:21:58

258

Views

Transform vectors from cartesian coordinates to curve coordinate system [2d]

Published on 05 May 2026 - 10:21

score 1.4k · Answer 8 · 2026-05-05 10:22:30

1.4k

Views

Coordinate and Non-coordinate basis (Orthonormality and Orthogonality)

Published on 05 May 2026 - 10:22

score 349 · Answer 9 · 2026-05-05 11:30:50

349

Views

Scale factors in orthogonal coordinate systems

Published on 05 May 2026 - 11:30

score 793 · Answer 10 · 2026-05-05 10:21:36

793

Views

Path on a sphere

Published on 05 May 2026 - 10:21

score 551 · Answer 11 · 2026-05-05 10:23:16

551

Views

How to derive the transformation that maps general curvilinear coordinates to their cartesian image.

Published on 05 May 2026 - 10:23

score 232 · Answer 12 · 2026-04-29 12:54:19

232

Views

Calculating the Weight of a Coil of Sheet Metal

Published on 29 Apr 2026 - 12:54

score 83 · Answer 13 · 2026-04-29 12:54:23

83

Views

Proof of formula for curvilinear curl

Published on 29 Apr 2026 - 12:54

score 336 · Answer 14 · 2026-04-29 12:54:28

336

Views

How do I derive the volume element $ dV = \sqrt{g} du^1 du^2 du^3 $ in a 3D curvilinear coordinate system?

Published on 29 Apr 2026 - 12:54

score 201 · Answer 15 · 2026-04-29 12:54:21

201

Views

How to find inverse of general curvilinear coordinates

Published on 29 Apr 2026 - 12:54

List Question

On the relationship between the volume element in curvilinear coordinates and the Jacobian

Why are these two ways of evaluating the curl of a vector field not actually equivalent?

Given $\alpha(x,y,z) = \alpha_1\hat x +\alpha_2 \hat y+\alpha_3 \hat z$, how to write in the coordinates $\hat r, \hat \theta, \hat \phi$

Dot product in spherical coordinates

Expressing contravariant basis vectors in terms of position vector

Find the center of mass in 3D

Transform vectors from cartesian coordinates to curve coordinate system [2d]

Coordinate and Non-coordinate basis (Orthonormality and Orthogonality)

Scale factors in orthogonal coordinate systems

Path on a sphere

How to derive the transformation that maps general curvilinear coordinates to their cartesian image.

Calculating the Weight of a Coil of Sheet Metal

Proof of formula for curvilinear curl

How do I derive the volume element $ dV = \sqrt{g} du^1 du^2 du^3 $ in a 3D curvilinear coordinate system?

How to find inverse of general curvilinear coordinates

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