List questions from vector-analysis

Published on 21 Mar 2026 - 9:18

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Surface to choose for the Stokes' theorem for intersection of sphere and plane.

Published on 17 Mar 2026 - 7:07

67

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What is the guarentee of existence of the differentiable function $t=\phi(t^{*})$ in the proof?

Published on 22 Jan 2018 - 14:56

43

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Calculating $\int_{C}^{} \overrightarrow{F}\overrightarrow{dS}$.

Published on 22 Mar 2026 - 4:04

67

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Extension of a gradient field

Published on 24 Mar 2026 - 13:53

200

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how to sketch the field lines of $F(x,y)=(\sin y,-\sin x)$?

Published on 17 Mar 2026 - 13:32

50

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Easy way to prove $|\text{curl}\ \mathbf n|^2=(\mathbf n\cdot \text{curl}\ \mathbf n)^2+|\mathbf n \wedge\text{curl}\ \mathbf n|^2$?

Published on 19 Mar 2026 - 18:21

87

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can I solve analytically or numerically the equation $\vec{\nabla}\cdot\vec{J}=0$ with the following boundaries?

Published on 22 Mar 2026 - 3:35

1.8k

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Application of Gauss' Divergence Theorem

Published on 22 Mar 2026 - 5:20

36

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Helmholtz longitudinal component without integral

Published on 19 Mar 2026 - 22:29

30

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How this equation with Laplace operator simplifies

Published on 22 Mar 2026 - 3:27

131

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Transforming a vector/matrix fraction to its product

Published on 24 Mar 2026 - 20:32

75

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Calculate the line integral: $\vec{F}(x,y)=(x^{2}+y^{2})i+(x^{2}-y^{2})j$

Published on 21 Mar 2026 - 7:27

42

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Calculate $\int_S v \cdot d\vec{n}$ for subset of a sphere.

Published on 17 Mar 2026 - 19:30

462

Views

How does one deal with modulus in index notation?

Published on 17 Mar 2026 - 9:41

List Question

How to find 1-form for Stokes' Theorem?

Surface to choose for the Stokes' theorem for intersection of sphere and plane.

What is the guarentee of existence of the differentiable function $t=\phi(t^{*})$ in the proof?

Calculating $\int_{C}^{} \overrightarrow{F}\overrightarrow{dS}$.

Extension of a gradient field

how to sketch the field lines of $F(x,y)=(\sin y,-\sin x)$?

Easy way to prove $|\text{curl}\ \mathbf n|^2=(\mathbf n\cdot \text{curl}\ \mathbf n)^2+|\mathbf n \wedge\text{curl}\ \mathbf n|^2$?

can I solve analytically or numerically the equation $\vec{\nabla}\cdot\vec{J}=0$ with the following boundaries?

Application of Gauss' Divergence Theorem

Helmholtz longitudinal component without integral

How this equation with Laplace operator simplifies

Transforming a vector/matrix fraction to its product

Calculate the line integral: $\vec{F}(x,y)=(x^{2}+y^{2})i+(x^{2}-y^{2})j$

Calculate $\int_S v \cdot d\vec{n}$ for subset of a sphere.

How does one deal with modulus in index notation?

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