List questions from vector-analysis

Published on 01 Apr 2026 - 20:09

91

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Trying to find flux through «stream pipe»

Published on 09 Apr 2026 - 14:41

16.1k

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How do I show that partial derivatives exist everywhere?

Published on 08 Apr 2026 - 18:22

3k

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Gradient of $a^T X b$ with respect to $X$

Published on 25 Mar 2026 - 15:41

407

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Linear dependence of gradient vector

Published on 16 Mar 2017 - 13:46

80

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Why $\frac{\partial}{\partial\alpha}f(\mathbf{x} + \alpha\mathbf{u})$ evaluates to $\mathbf{u}^T\nabla_{\mathbf{x}}f(\mathbf{x})$

Published on 16 Mar 2017 - 16:14

38

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Vector Calculus Notation for "Cross" Quantities

Published on 01 Apr 2026 - 20:07

1.8k

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How to apply gradient with respect to a vector

Published on 28 Mar 2026 - 4:33

32

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Meaning of the arguments outside the operation? $(\nabla u \cdot \boldsymbol{n})(\boldsymbol{x},t)=0$

Published on 17 Mar 2017 - 13:44

304

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What is the mechanism of Eigenvector?

Published on 17 Mar 2017 - 16:01

707

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Confused about how the gradient represents direction of maximum rate of increase

Published on 17 Mar 2017 - 18:00

230

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Scalar line integrals vs. line integrals when to calculate each?

Published on 25 Mar 2026 - 15:46

197

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Calculate gradient of a vector formula

Published on 20 Mar 2017 - 9:33

1.9k

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Line integral for surface area of cylinder

Published on 29 Mar 2026 - 13:51

76

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Proof of $\int_{B(x,R)}f(y)\,dy=\int_{\mathbb{S}^{n-1}}\int_0^Rf(x+r\sigma)r^{n-1}\,dr\,d\sigma$.

Published on 29 Mar 2026 - 13:53

List Question

Vector calculus derivatives finding the isothermal curve

Trying to find flux through «stream pipe»

How do I show that partial derivatives exist everywhere?

Gradient of $a^T X b$ with respect to $X$

Linear dependence of gradient vector

Why $\frac{\partial}{\partial\alpha}f(\mathbf{x} + \alpha\mathbf{u})$ evaluates to $\mathbf{u}^T\nabla_{\mathbf{x}}f(\mathbf{x})$

Vector Calculus Notation for "Cross" Quantities

How to apply gradient with respect to a vector

Meaning of the arguments outside the operation? $(\nabla u \cdot \boldsymbol{n})(\boldsymbol{x},t)=0$

What is the mechanism of Eigenvector?

Confused about how the gradient represents direction of maximum rate of increase

Scalar line integrals vs. line integrals when to calculate each?

Calculate gradient of a vector formula

Line integral for surface area of cylinder

Proof of $\int_{B(x,R)}f(y)\,dy=\int_{\mathbb{S}^{n-1}}\int_0^Rf(x+r\sigma)r^{n-1}\,dr\,d\sigma$.

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