List questions from vector-analysis

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coupled vector equations

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Derivative defined over nxn matrics

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Constructing a partition and sigma algebras

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Can a gradient vector field with no equilibria point in every direction?

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Vector Magnitude Equality

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Vector Magnitude Equality 2

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128

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Gradient descent algorithm

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Lie bracket of exact differential one-forms

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Disadvantage of Newton method in optimization compared with gradient descent

Published on 29 Mar 2026 - 4:33

857

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Show curve is tangent to a surface using gradient

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How to calculate $\vec\nabla\times\frac{\vec{r}}{r^3}$ when $r$ can be $0$?

Published on 14 Apr 2026 - 4:11

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$\int_{-\pi/2}^{\pi/2} |\vec{v}-\vec{V}|(\vec{v}-\vec{V}) d t$, with $\vec{v}=(\vec{i} \cos t +\vec{j} \sin t) (\sqrt{1-p^2 \cos^2 t}+p \sin t)$

Published on 17 Apr 2026 - 3:22

783

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divide both sides of an equation by Levi Civita symbol

Published on 13 Apr 2026 - 16:35

754

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Proof of $-\nabla\times\omega = \nabla^2 U$

Published on 29 Mar 2026 - 17:25

List Question

Vector Equation involving cross product

coupled vector equations

Derivative defined over nxn matrics

Constructing a partition and sigma algebras

Can a gradient vector field with no equilibria point in every direction?

Vector Magnitude Equality

Vector Magnitude Equality 2

Gradient descent algorithm

Lie bracket of exact differential one-forms

Disadvantage of Newton method in optimization compared with gradient descent

Show curve is tangent to a surface using gradient

How to calculate $\vec\nabla\times\frac{\vec{r}}{r^3}$ when $r$ can be $0$?

$\int_{-\pi/2}^{\pi/2} |\vec{v}-\vec{V}|(\vec{v}-\vec{V}) d t$, with $\vec{v}=(\vec{i} \cos t +\vec{j} \sin t) (\sqrt{1-p^2 \cos^2 t}+p \sin t)$

divide both sides of an equation by Levi Civita symbol

Proof of $-\nabla\times\omega = \nabla^2 U$

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