List questions from vector-fields

1.1k

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How to prove that a vector field with holes in its domain is conservative without finding a potential?

Published on 21 Oct 2018 - 12:21

2.3k

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What is the intuition behind the gravitational field having zero divergence?

Published on 26 Mar 2026 - 1:15

27

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In flow group laws, why say that $\forall s \in D^{(p)}, \forall t \in D^{(\theta(s,p))}$ s.t. $s+t \in D^{(p)}$?

Published on 22 Oct 2018 - 17:42

847

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Vector field interpolation

Published on 25 Mar 2026 - 11:08

153

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Extension of vector field implies extension of function

Published on 25 Oct 2018 - 14:25

122

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Need help trying to interpret line integral of a vector field as area.

Published on 25 Mar 2026 - 11:02

491

Views

Find $\int_C F.dr $ where C is the smooth curve joining $(1,0,0) $ to $(0,0,2)$.

Published on 25 Mar 2026 - 11:04

141

Views

Exponential of a vector field on a manifold and diffeomorphisms

Published on 25 Mar 2026 - 4:39

1.6k

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Equivalence between commuting (complete) vector fields and commuting flows

Published on 25 Mar 2026 - 16:05

404

Views

vector spaces: verify axioms for 1, random variables and 2, power set of a set over {0,1}

Published on 25 Mar 2026 - 16:03

162

Views

Lie derivative of differential form

Published on 25 Mar 2026 - 16:01

69

Views

Finding an example path in a conservative vector field

Published on 26 Mar 2026 - 2:52

202

Views

Physics: Electric field

Published on 08 Nov 2018 - 10:20

28

Views

Am I allowed to convert vector fields to spherical coordinates to make the easier?

Published on 25 Mar 2026 - 12:48

602

Views

How do I use Stokes' theorem to find curl

Published on 25 Mar 2026 - 20:34

List Question

How to prove that a vector field with holes in its domain is conservative without finding a potential?

What is the intuition behind the gravitational field having zero divergence?

In flow group laws, why say that $\forall s \in D^{(p)}, \forall t \in D^{(\theta(s,p))}$ s.t. $s+t \in D^{(p)}$?

Vector field interpolation

Extension of vector field implies extension of function

Need help trying to interpret line integral of a vector field as area.

Find $\int_C F.dr $ where C is the smooth curve joining $(1,0,0) $ to $(0,0,2)$.

Exponential of a vector field on a manifold and diffeomorphisms

Equivalence between commuting (complete) vector fields and commuting flows

vector spaces: verify axioms for 1, random variables and 2, power set of a set over {0,1}

Lie derivative of differential form

Finding an example path in a conservative vector field

Physics: Electric field

Am I allowed to convert vector fields to spherical coordinates to make the easier?

How do I use Stokes' theorem to find curl

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