Question

Prove that $|\int_{\gamma}\mathbf{F}\cdot \,ds | \leq LM$ where $L$ is the lenght of $\gamma$ and $\| \mathbf{F}(x,y,z)\| \leq M$

score 28 · Answer 1 · 2026-04-02 12:27:01

28

Views

Prove that $|\int_{\gamma}\mathbf{F}\cdot \,ds | \leq LM$ where $L$ is the lenght of $\gamma$ and $\| \mathbf{F}(x,y,z)\| \leq M$

Published on 02 Apr 2026 - 12:27

score 135 · Answer 2 · 2021-11-21 03:40:14

135

Views

Show that $\mathbf{F}$ is a conservative vector field or not depending on the domain.

Published on 21 Nov 2021 - 3:40

score 133 · Answer 3 · 2026-03-26 15:17:08

133

Views

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228

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30

Views

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70

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26

Views

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score 1.5k · Answer 8 · 2026-04-02 12:24:49

1.5k

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score 63 · Answer 9 · 2021-11-28 22:40:02

63

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score 217 · Answer 10 · 2026-04-08 15:00:02

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score 93 · Answer 11 · 2021-12-01 05:33:15

93

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97

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199

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score 60 · Answer 15 · 2021-12-05 00:20:33

60

Views

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List Question

Prove that $|\int_{\gamma}\mathbf{F}\cdot \,ds | \leq LM$ where $L$ is the lenght of $\gamma$ and $\| \mathbf{F}(x,y,z)\| \leq M$

Show that $\mathbf{F}$ is a conservative vector field or not depending on the domain.

Line and Surface Integral with the Dot Product replaced with a Cross Product

Pushforward of the vector field $\dfrac{d}{dx}$ by exponential, i.e $exp_{}\dfrac{d}{dx}$ = $x\dfrac{d}{dx}$ on $R_{+}^$

May a random-variable be a vector valued function?

Problem on finding integral submanifold of a smooth rank-$2$ distribution .

Interpretation of $\frac{1}{r}\left(\frac{\partial V_\phi}{\partial x^\theta}-\frac{\partial V_\theta}{\partial x^\phi}\right)$ for given Space-time

Line integral of non conservative vector field

How to change coordinates of a vectorfield $X$ on $\mathbb{R}P^2$

How to integrate a function over a circular loop?

Can we actually walk along the gradient of a scalar to climb the hill faster?

Understanding a definition of the exterior derivative

Finitely vanishing vector field on the real projective plane

How to determine a parametrization for the field line of the vector field?

Direction of normal vector if the flux is outward a circle

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