Question

Parameterization of a 3D intersection curve between a cylinder and a plane

score 1.2k · Answer 1 · 2026-04-11 08:41:30

1.2k

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Parameterization of a 3D intersection curve between a cylinder and a plane

Published on 11 Apr 2026 - 8:41

score 245 · Answer 2 · 2026-04-08 22:31:16

245

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Using local canonical form to approximate a curve (not necessarily unit speed)

Published on 08 Apr 2026 - 22:31

score 940 · Answer 3 · 2026-03-25 01:29:08

940

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Let $f : \mathbb{R}^2\to \mathbb{R}^2$ be defined by the equation $f(x,y)=(x^2-y^2, 2xy)$. If $g$ is the inverse function, find $Dg(0, 1)$.

Published on 25 Mar 2026 - 1:29

score 137 · Answer 4 · 2026-04-10 09:19:02

137

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Multivariable chain rule and the behaviour of derivatives

Published on 10 Apr 2026 - 9:19

score 285 · Answer 5 · 2026-04-10 14:04:39

285

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How do I prove this identity involving polar coordinates and $\nabla$?

Published on 10 Apr 2026 - 14:04

score 59 · Answer 6 · 2026-03-25 01:25:57

59

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Is there a specific notation to denote the potential function of a conservative vector field?

Published on 25 Mar 2026 - 1:25

score 116 · Answer 7 · 2026-04-09 01:29:31

116

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Standard result for the gradient of a multidimensional Gaussian

Published on 09 Apr 2026 - 1:29

score 78 · Answer 8 · 2026-03-16 12:28:07

78

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Compute $\iint_D\cos{y^2}dxdy$

Published on 16 Mar 2026 - 12:28

score 968 · Answer 9 · 2026-03-24 22:09:41

968

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Is the gradient of a vector product a row or a column?

Published on 24 Mar 2026 - 22:09

score 1k · Answer 10 · 2026-03-24 23:46:44

1k

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How to get the gradient of a matrix product with respect to a vector?

Published on 24 Mar 2026 - 23:46

score 32 · Answer 11 · 2026-03-25 00:24:27

32

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Finding all horisontal planes tangent to a surface

Published on 25 Mar 2026 - 0:24

score 1.3k · Answer 12 · 2026-03-25 00:24:28

1.3k

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Why is any arbitrary directional derivative always recoverable from the gradient?

Published on 25 Mar 2026 - 0:24

score 113 · Answer 13 · 2026-04-01 04:56:45

How to show that $\sum_{i=1}^d\int_{{\bf R}^d}|\nabla u_i(x)|^2\ dx=\int_{{\bf R}^d}|\nabla\times u|^2\ dx $ provided that $\nabla\cdot u=0$?

score 45 · Answer 14 · 2026-03-15 20:50:56

45

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Closed curve and a radical vector field.

Published on 15 Mar 2026 - 20:50

score 81 · Answer 15 · 2026-04-10 21:20:05

81

Views

Given $h(\alpha) = f(x+\alpha v)$, find $h''(\alpha)$

Published on 10 Apr 2026 - 21:20

List Question

Parameterization of a 3D intersection curve between a cylinder and a plane

Using local canonical form to approximate a curve (not necessarily unit speed)

Let $f : \mathbb{R}^2\to \mathbb{R}^2$ be defined by the equation $f(x,y)=(x^2-y^2, 2xy)$. If $g$ is the inverse function, find $Dg(0, 1)$.

Multivariable chain rule and the behaviour of derivatives

How do I prove this identity involving polar coordinates and $\nabla$?

Is there a specific notation to denote the potential function of a conservative vector field?

Standard result for the gradient of a multidimensional Gaussian

Compute $\iint_D\cos{y^2}dxdy$

Is the gradient of a vector product a row or a column?

How to get the gradient of a matrix product with respect to a vector?

Finding all horisontal planes tangent to a surface

Why is any arbitrary directional derivative always recoverable from the gradient?

How to show that $\sum_{i=1}^d\int_{{\bf R}^d}|\nabla u_i(x)|^2\ dx=\int_{{\bf R}^d}|\nabla\times u|^2\ dx $ provided that $\nabla\cdot u=0$?

Closed curve and a radical vector field.

Given $h(\alpha) = f(x+\alpha v)$, find $h''(\alpha)$

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