Question

Is $\vec{\nabla}\times\vec{A}=\vec{0} $ the necessary and sufficient condition to write $\vec{A}=\vec{\nabla}f$?

score 79 · Answer 1 · 2023-10-01 11:32:03

Is $\vec{\nabla}\times\vec{A}=\vec{0} $ the necessary and sufficient condition to write $\vec{A}=\vec{\nabla}f$?

score 64 · Answer 2 · 2026-03-25 23:09:37

64

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Green's theorem example application for engineers and physicists.

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score 130 · Answer 3 · 2026-03-25 07:45:22

130

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Finding Range and Domain of the function $g(x,y) = \sqrt{x - y} + \sqrt{x^{2} + y^{2} - 6}$

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score 38 · Answer 4 · 2023-10-01 21:31:51

38

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Does $\displaystyle \lim_{t\to 0} \frac{g(\gamma(t))}{t}=0$ imply $\displaystyle\lim_{v\to 0} \frac{g(v)}{\|v\|}=0$?

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score 59 · Answer 5 · 2023-10-02 00:55:49

59

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score 42 · Answer 6 · 2023-10-02 05:12:23

42

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Show that $||\vec x|-|\vec y||≤|\vec x-\vec y|$. When the equality holds?

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score 114 · Answer 7 · 2023-10-02 14:34:29

114

Views

Correct my classification.

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score 48 · Answer 8 · 2023-10-02 15:09:07

48

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score 38 · Answer 9 · 2026-04-09 13:24:32

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score 61 · Answer 11 · 2026-04-10 04:39:04

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score 67 · Answer 12 · 2026-04-09 14:04:30

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score 105 · Answer 13 · 2023-10-08 15:21:30

105

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score 81 · Answer 14 · 2023-10-09 16:01:23

81

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Prove that $\|a-2b+c\|^2 = 2\|a-b\|^2 + 2\|b-c\|^2 - \|a-c\|^2$

Published on 09 Oct 2023 - 16:01

score 36 · Answer 15 · 2026-04-12 16:27:18

36

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List Question

Is $\vec{\nabla}\times\vec{A}=\vec{0} $ the necessary and sufficient condition to write $\vec{A}=\vec{\nabla}f$?

Green's theorem example application for engineers and physicists.

Finding Range and Domain of the function $g(x,y) = \sqrt{x - y} + \sqrt{x^{2} + y^{2} - 6}$

Does $\displaystyle \lim_{t\to 0} \frac{g(\gamma(t))}{t}=0$ imply $\displaystyle\lim_{v\to 0} \frac{g(v)}{\|v\|}=0$?

Marsden and Tromba Vector Calculus Question

Show that $||\vec x|-|\vec y||≤|\vec x-\vec y|$. When the equality holds?

Correct my classification.

Integration by parts and $L^p$ spaces

Coordinate transformation from chain rule

How to integrate the square of a gradient over a volume

Why divergence should be a scalar

How to understand curl means rotation

I'm confused about how $\nabla\cdot ( x, y)= 2$ at each point in the vector field.

Prove that $\|a-2b+c\|^2 = 2\|a-b\|^2 + 2\|b-c\|^2 - \|a-c\|^2$

Smooth extension of the angle function $\theta(x,y)$

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