List questions from vector-analysis

Published on 15 Apr 2018 - 17:04

398

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Alternative Proof of Liouville's Theorem for Harmonic Functions

Published on 15 Apr 2018 - 20:22

947

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Divergence of $x |x|^{-n}$

Published on 25 Mar 2026 - 17:37

122

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Evaluating an integral using the Fubini Theorem.

Published on 16 Apr 2018 - 1:16

413

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Why $\nabla \times (\nabla \times a) = -(\nabla \cdot \nabla)a + \nabla(\nabla \cdot a)$?

Published on 16 Apr 2018 - 9:01

34

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Meaning of gradient in multivariable case

Published on 16 Apr 2018 - 12:24

617

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Curl of a linear operator applied to a vector field

Published on 16 Apr 2018 - 13:06

530

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How can I check whether the given function or vector field is path-dependent or path-independent?

Published on 25 Mar 2026 - 1:22

470

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Proof of Hopf's Lemma for Harmonic Functions

Published on 16 Apr 2018 - 22:54

879

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understanding of inner product, dyadic (tensor) product, and gradient of a vector

Published on 17 Apr 2018 - 12:55

21

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Calculating $\int_C v\cdot t ds$ when $C$ is $y=\sin x$ and $v(x,y) = (y+e^x, 1)$

Published on 17 Apr 2018 - 17:16

38

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Vector Calculus - Suffixes

Published on 18 Apr 2018 - 10:46

54

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Showing there exists a point for which gradient is zero

Published on 18 Apr 2018 - 13:13

783

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Calculating the flux of a vector field

Published on 18 Apr 2018 - 18:10

970

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Let $f(x,y)=1/(x^2+y^2)$ for $(x,y)\neq 0$. Determine whether $f$ is integrable over $U-0$ and over $\mathbb{R}^2-\bar{U}$; if so, evaluate.

Published on 18 Apr 2018 - 18:24

List Question

Check the computations made in Example $3$

Alternative Proof of Liouville's Theorem for Harmonic Functions

Divergence of $x |x|^{-n}$

Evaluating an integral using the Fubini Theorem.

Why $\nabla \times (\nabla \times a) = -(\nabla \cdot \nabla)a + \nabla(\nabla \cdot a)$?

Meaning of gradient in multivariable case

Curl of a linear operator applied to a vector field

How can I check whether the given function or vector field is path-dependent or path-independent?

Proof of Hopf's Lemma for Harmonic Functions

understanding of inner product, dyadic (tensor) product, and gradient of a vector

Calculating $\int_C v\cdot t ds$ when $C$ is $y=\sin x$ and $v(x,y) = (y+e^x, 1)$

Vector Calculus - Suffixes

Showing there exists a point for which gradient is zero

Calculating the flux of a vector field

Let $f(x,y)=1/(x^2+y^2)$ for $(x,y)\neq 0$. Determine whether $f$ is integrable over $U-0$ and over $\mathbb{R}^2-\bar{U}$; if so, evaluate.

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