Question

If $\vec F=\frac{\vec r}{r^3}$ then $\exists$ is no $\vec G ∶ \mathbb{R}^3 ⧵ {0} \to \mathbb{R}^3$ such that $\vec F = curl \,\vec G$.

score 64 · Answer 1 · 2026-02-23 10:06:00

64

Views

If $\vec F=\frac{\vec r}{r^3}$ then $\exists$ is no $\vec G ∶ \mathbb{R}^3 ⧵ {0} \to \mathbb{R}^3$ such that $\vec F = curl \,\vec G$.

Published on 23 Feb 2026 - 10:06

score 38 · Answer 2 · 2023-06-13 02:53:04

38

Views

Which boundary curves should I choose in Stokes' Theorem?

Published on 13 Jun 2023 - 2:53

score 56 · Answer 3 · 2023-06-13 13:41:30

56

Views

Verifying the Stokes' Theorem

Published on 13 Jun 2023 - 13:41

score 28 · Answer 4 · 2023-06-16 00:37:08

28

Views

Integral of a 2-form on a smoothly parametrized surface

Published on 16 Jun 2023 - 0:37

score 119 · Answer 5 · 2023-06-18 17:08:19

119

Views

Evaluate integral of $x^3dy \wedge dz+y^3dz \wedge dx+z^3 dx \wedge dy$ over the upper hemisphere.

Published on 18 Jun 2023 - 17:08

score 164 · Answer 6 · 2023-06-20 11:56:39

164

Views

Problem with bounds on surface integral.

Published on 20 Jun 2023 - 11:56

score 84 · Answer 7 · 2023-06-22 15:13:30

84

Views

Equivalent divergence-free vector

Published on 22 Jun 2023 - 15:13

score 92 · Answer 8 · 2023-06-24 12:49:15

92

Views

Integral of differential $n$-form over half $n$-sphere

Published on 24 Jun 2023 - 12:49

score 34 · Answer 9 · 2023-06-24 17:46:24

34

Views

Nomenclature Stokes Theorem

Published on 24 Jun 2023 - 17:46

score 96 · Answer 10 · 2023-06-25 09:36:31

96

Views

Apply Stokes theorem on a curve which is intersection of a sphere and plane

Published on 25 Jun 2023 - 9:36

score 148 · Answer 11 · 2026-03-25 21:45:02

148

Views

Stokes' Theorem and perimeter

Published on 25 Mar 2026 - 21:45

score 84 · Answer 12 · 2023-07-12 18:46:39

84

Views

Use Stokes' Theorem to evaluate this integral

Published on 12 Jul 2023 - 18:46

score 48 · Answer 13 · 2026-02-23 10:06:11

48

Views

GIven a surface area F, a normal vector, a point and a vector field, calculate the flow of the vector field through F.

Published on 23 Feb 2026 - 10:06

score 152 · Answer 14 · 2023-08-16 00:54:35

152

Views

Stokes' Theorem Always Surface Independent?

Published on 16 Aug 2023 - 0:54

score 56 · Answer 15 · 2023-08-16 18:26:27

56

Views

Evaluating line integral with Stokes' Theorem

Published on 16 Aug 2023 - 18:26

List Question

If $\vec F=\frac{\vec r}{r^3}$ then $\exists$ is no $\vec G ∶ \mathbb{R}^3 ⧵ {0} \to \mathbb{R}^3$ such that $\vec F = curl \,\vec G$.

Which boundary curves should I choose in Stokes' Theorem?

Verifying the Stokes' Theorem

Integral of a 2-form on a smoothly parametrized surface

Evaluate integral of $x^3dy \wedge dz+y^3dz \wedge dx+z^3 dx \wedge dy$ over the upper hemisphere.

Problem with bounds on surface integral.

Equivalent divergence-free vector

Integral of differential $n$-form over half $n$-sphere

Nomenclature Stokes Theorem

Apply Stokes theorem on a curve which is intersection of a sphere and plane

Stokes' Theorem and perimeter

Use Stokes' Theorem to evaluate this integral

GIven a surface area F, a normal vector, a point and a vector field, calculate the flow of the vector field through F.

Stokes' Theorem Always Surface Independent?

Evaluating line integral with Stokes' Theorem

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