List questions from vector-analysis

Published on 09 Mar 2017 - 18:23

38

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How can one prove$\int_V\text{d}V\ \vec A=0$, given that $\vec A\cdot \vec{\textbf{n}}=0$ and $\nabla\cdot\vec A=0$ without using tensor analysis?

Published on 02 Apr 2026 - 20:15

4.2k

Views

What is the area bounded by 4 lines?

Published on 11 Mar 2017 - 12:46

27

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Demonstration of an equality $\oint { \overrightarrow { F } \cdot \overrightarrow { dr } =2\pi } $ using Green's Theorem

Published on 11 Mar 2017 - 13:14

2k

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Divergence of the product of a scalar and a tensor fields

Published on 11 Mar 2017 - 15:07

221

Views

Original and interesting problems about the theorems of Green, Stokes and Gauss

Published on 29 Mar 2026 - 3:03

525

Views

Calculating the gradient of a cross product to solve an optimization problem

Published on 09 Apr 2026 - 13:02

338

Views

Higher dimensional Cauchy's integral formula looking thing for a harmonic function

Published on 09 Apr 2026 - 1:24

131

Views

Setup the following integral in polar coordinates: $\int_1^2 \int_0 ^{x} (x^2 + y^2)^{-3/2} dy dx$

Published on 27 Mar 2026 - 14:55

391

Views

Matlab Code for computing the gradient algorithm

Published on 29 Mar 2026 - 16:18

213

Views

Understanding smooth manifolds

Published on 13 Mar 2017 - 18:55

47

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In search for a definition for some kind of an "integrating" vector field.

Published on 13 Mar 2017 - 20:37

141

Views

Is $\frac{\nabla{u(\mathbf{x})}}{(\nabla{u(\mathbf{x})})\cdot\mathbf{x}}$ the gradient of any function?

Published on 27 Mar 2026 - 11:48

56

Views

Finding maxima and minima in non-C1 real-valued functions?

Published on 14 Mar 2017 - 20:45

4.8k

Views

Gradient of a vector in spherical coordinates

Published on 14 Mar 2017 - 22:55

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Reparametrization of a curve

How can one prove$\int_V\text{d}V\ \vec A=0$, given that $\vec A\cdot \vec{\textbf{n}}=0$ and $\nabla\cdot\vec A=0$ without using tensor analysis?

What is the area bounded by 4 lines?

Demonstration of an equality $\oint { \overrightarrow { F } \cdot \overrightarrow { dr } =2\pi } $ using Green's Theorem

Divergence of the product of a scalar and a tensor fields

Original and interesting problems about the theorems of Green, Stokes and Gauss

Calculating the gradient of a cross product to solve an optimization problem

Higher dimensional Cauchy's integral formula looking thing for a harmonic function

Setup the following integral in polar coordinates: $\int_1^2 \int_0 ^{x} (x^2 + y^2)^{-3/2} dy dx$

Matlab Code for computing the gradient algorithm

Understanding smooth manifolds

In search for a definition for some kind of an "integrating" vector field.

Is $\frac{\nabla{u(\mathbf{x})}}{(\nabla{u(\mathbf{x})})\cdot\mathbf{x}}$ the gradient of any function?

Finding maxima and minima in non-C1 real-valued functions?

Gradient of a vector in spherical coordinates

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