List questions from vector-analysis

Published on 28 Mar 2026 - 0:06

152

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directional derivative of $f(x,y,z) = e^{xyz}, v = (1,1,-1)$ through differential quotient (aka no Jacobian)

Published on 16 Apr 2026 - 13:38

7.3k

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How can you calculate distance in plane polar coordinates using the metric tensor

Published on 13 Apr 2026 - 14:10

155

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Radial function $g : \mathbb{R}^M \to \mathbb{R}^L$: Why does Jacobian Matrix at $a$ map orthognal $v$ to $0$

Published on 15 Apr 2026 - 14:04

478

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Gradient of the composition with the affine mapping

Published on 16 Apr 2026 - 9:23

530

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In the path-following/interior point, how is the gradient of the objective function a linear combination of the gradients of the constraints?

Published on 15 Apr 2026 - 23:27

121

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Application of Green's identities to boundary value problem

Published on 10 Apr 2026 - 1:56

87

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Convoluted Derivatives

Published on 12 Apr 2026 - 18:47

481

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Need help proving $\vec{u}\times \vec{\omega}=\vec{\nabla}(\frac{1}{2}\vec{u}\cdot \vec{u})-\vec{u}\cdot \vec{\nabla}\vec{u}.$

Published on 14 Apr 2026 - 1:55

188

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Taylor expansion of $f(\vec{x}+\vec{a},\vec{y}+\vec{b})$

Published on 16 Apr 2026 - 4:34

10.9k

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$C^1$ function on compact set is Lipschitz

Published on 28 Mar 2026 - 10:03

1.6k

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How to calculate divergence of the given function?

Published on 28 Mar 2026 - 0:06

93

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Help with a differential equation using variation of parameters

Published on 11 Apr 2026 - 12:10

155

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Is $\mathbf{F}(x(t),y(t),z(t),t)$ a function of four variables?

Published on 13 Apr 2026 - 8:14

7.4k

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Time derivative of curl

Published on 14 Apr 2026 - 0:27

List Question

Proof of Divergence Theorem for radial invariant function

directional derivative of $f(x,y,z) = e^{xyz}, v = (1,1,-1)$ through differential quotient (aka no Jacobian)

How can you calculate distance in plane polar coordinates using the metric tensor

Radial function $g : \mathbb{R}^M \to \mathbb{R}^L$: Why does Jacobian Matrix at $a$ map orthognal $v$ to $0$

Gradient of the composition with the affine mapping

In the path-following/interior point, how is the gradient of the objective function a linear combination of the gradients of the constraints?

Application of Green's identities to boundary value problem

Convoluted Derivatives

Need help proving $\vec{u}\times \vec{\omega}=\vec{\nabla}(\frac{1}{2}\vec{u}\cdot \vec{u})-\vec{u}\cdot \vec{\nabla}\vec{u}.$

Taylor expansion of $f(\vec{x}+\vec{a},\vec{y}+\vec{b})$

$C^1$ function on compact set is Lipschitz

How to calculate divergence of the given function?

Help with a differential equation using variation of parameters

Is $\mathbf{F}(x(t),y(t),z(t),t)$ a function of four variables?

Time derivative of curl

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