List questions from vector-analysis

Published on 26 Mar 2026 - 1:14

169

Views

Prove that $2\text{Area}(\omega) \leq \text{length}(\gamma)\,\text{distance}(\gamma)$

Published on 18 Oct 2018 - 13:31

832

Views

How to write basis vectors in Cartesian coordinates in terms of cylindrical coordinates?

Published on 26 Mar 2026 - 1:10

133

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A chain rule for the angle

Published on 19 Oct 2018 - 9:25

56

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Find partial derivatives of $f(x)=\|x\|^\alpha$

Published on 19 Oct 2018 - 11:26

2.7k

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Calculating the dot product of vector fields.

Published on 19 Oct 2018 - 13:56

44

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Gradient of $f(x,y)=\sqrt{x^2(1+y)+y^2+4}$

Published on 19 Oct 2018 - 14:33

2.9k

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Is the Euclidean Distance and the Euclidean Norm the same thing?

Published on 21 Oct 2018 - 10:33

1.1k

Views

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

Published on 26 Mar 2026 - 6:29

62

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How are open subsets and relatively open subsets different from each other?

Published on 21 Oct 2018 - 17:28

3k

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What are the necessary and sufficient condions for a laplacian to be zero?

Published on 25 Mar 2026 - 7:45

2.3k

Views

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

Published on 26 Mar 2026 - 1:15

145

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Differences In Explanations of Quadratic Functions/Forms

Published on 25 Mar 2026 - 9:23

306

Views

At a Critical Point the Hessian Equals the Frst Nonconstant Term in the Taylor Series of $f$?

Published on 25 Mar 2026 - 7:45

742

Views

Solving $(\vec{B}\cdot\nabla)\vec{A}$

Published on 23 Oct 2018 - 17:40

List Question

DGL: variational problem in $H^1$

Prove that $2\text{Area}(\omega) \leq \text{length}(\gamma)\,\text{distance}(\gamma)$

How to write basis vectors in Cartesian coordinates in terms of cylindrical coordinates?

A chain rule for the angle

Find partial derivatives of $f(x)=\|x\|^\alpha$

Calculating the dot product of vector fields.

Gradient of $f(x,y)=\sqrt{x^2(1+y)+y^2+4}$

Is the Euclidean Distance and the Euclidean Norm the same thing?

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

How are open subsets and relatively open subsets different from each other?

What are the necessary and sufficient condions for a laplacian to be zero?

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

Differences In Explanations of Quadratic Functions/Forms

At a Critical Point the Hessian Equals the Frst Nonconstant Term in the Taylor Series of $f$?

Solving $(\vec{B}\cdot\nabla)\vec{A}$

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