Question

How do I show that the two definitions of the curl of a vector field equal each other?

score 160 · Answer 1 · 2026-03-25 09:18:53

160

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How do I show that the two definitions of the curl of a vector field equal each other?

Published on 25 Mar 2026 - 9:18

score 283 · Answer 2 · 2019-10-18 18:49:18

283

Views

How to prove that a vector field over the torus is diferenciable?

Published on 18 Oct 2019 - 18:49

score 285 · Answer 3 · 2019-10-19 14:49:23

285

Views

$1$-form $\omega$ is exact, then $\omega([X,Y]) = X(\omega(Y)) - Y(\omega(X))$

Published on 19 Oct 2019 - 14:49

score 1.1k · Answer 4 · 2019-10-19 15:19:17

1.1k

Views

When the divergence of a function is zero, what does it say about the curl

Published on 19 Oct 2019 - 15:19

score 30 · Answer 5 · 2019-10-19 19:18:17

30

Views

Geometric interpreation of triple product ∇ · (∇ × a)

Published on 19 Oct 2019 - 19:18

score 232 · Answer 6 · 2019-10-20 01:36:09

232

Views

How to find a local chart of the Straightening Theorem

Published on 20 Oct 2019 - 1:36

score 444 · Answer 7 · 2019-10-20 17:32:27

444

Views

Question about local flows in vector fields.

Published on 20 Oct 2019 - 17:32

score 156 · Answer 8 · 2026-03-25 01:27:58

156

Views

Reeb foliation of the plane and the Palais-Smale condition

Published on 25 Mar 2026 - 1:27

score 759 · Answer 9 · 2019-10-21 00:51:12

759

Views

Curl of vector fields with singularities or specially structured discontinuities.

Published on 21 Oct 2019 - 0:51

score 968 · Answer 10 · 2019-10-20 15:03:02

968

Views

Vector Calculus Problem on Gradient Cross Product

Published on 20 Oct 2019 - 15:03

score 42 · Answer 11 · 2019-10-26 11:48:20

42

Views

How to simplify the integral $\int_C \mathbf r\times (d\mathbf r \times \mathbf f)$ given that the field $\mathbf f$ is uniform?

Published on 26 Oct 2019 - 11:48

score 765 · Answer 12 · 2026-03-25 13:05:04

765

Views

Show there is an isomorphism between the vector fields and the derivations.

Published on 25 Mar 2026 - 13:05

score 775 · Answer 13 · 2019-10-28 15:04:30

775

Views

Calculate the magnitude of the vector field $\vec F= ({-GM/r^3})\vec r$

Published on 28 Oct 2019 - 15:04

score 56 · Answer 14 · 2019-10-28 22:35:18

56

Views

Find $f$ if the gradient of $f$ is $\vec F = \sin(x/2)\sin(y/2)\vec i - \cos(x/2)\cos(y/2)\vec j $

Published on 28 Oct 2019 - 22:35

score 870 · Answer 15 · 2019-10-29 14:38:34

870

Views

Integration on SO(3)

Published on 29 Oct 2019 - 14:38

List Question

How do I show that the two definitions of the curl of a vector field equal each other?

How to prove that a vector field over the torus is diferenciable?

$1$-form $\omega$ is exact, then $\omega([X,Y]) = X(\omega(Y)) - Y(\omega(X))$

When the divergence of a function is zero, what does it say about the curl

Geometric interpreation of triple product ∇ · (∇ × a)

How to find a local chart of the Straightening Theorem

Question about local flows in vector fields.

Reeb foliation of the plane and the Palais-Smale condition

Curl of vector fields with singularities or specially structured discontinuities.

Vector Calculus Problem on Gradient Cross Product

How to simplify the integral $\int_C \mathbf r\times (d\mathbf r \times \mathbf f)$ given that the field $\mathbf f$ is uniform?

Show there is an isomorphism between the vector fields and the derivations.

Calculate the magnitude of the vector field $\vec F= ({-GM/r^3})\vec r$

Find $f$ if the gradient of $f$ is $\vec F = \sin(x/2)\sin(y/2)\vec i - \cos(x/2)\cos(y/2)\vec j $

Integration on SO(3)

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