Question

Softwares for animating moving 3-d vector fields?

score 161 · Answer 1 · 2026-04-14 23:15:59

161

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Softwares for animating moving 3-d vector fields?

Published on 14 Apr 2026 - 23:15

score 61 · Answer 2 · 2026-04-14 03:20:50

61

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Why is $\nabla_{\mathbf{x}}z \not= \nabla_{\mathbf{y}}z \times \frac{\partial\mathbf{y}}{\partial\mathbf{x}} $?

Published on 14 Apr 2026 - 3:20

score 49 · Answer 3 · 2026-04-16 21:46:59

49

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Let $f(x,y)=e^{-(x^2+y^2)}$ and $g(x,y)=\frac{e^{-1}}{x^2+y^2}$. Show that $f(a,b)=g(a,b)$ at any point $(a,b)$ where $a^2+b^2=1$.

Published on 16 Apr 2026 - 21:46

score 49 · Answer 4 · 2026-04-15 22:27:19

Suppose $u(x,y)$ is a function $C^2$ from $\mathbb{R}^2$ to $\mathbb{R}$. After a change to polar coordinates $u(x,y)=u(r\cos \theta , r\sin \theta)$.

score 74 · Answer 5 · 2026-05-10 16:53:30

74

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Three vectors resultant force

Published on 10 May 2026 - 16:53

score 306 · Answer 6 · 2026-04-11 22:34:49

306

Views

Is the converse of the statement "If partial derivatives exist and are continuous, then the function is differentiable at that point" true?

Published on 11 Apr 2026 - 22:34

score 251 · Answer 7 · 2026-04-11 02:36:01

251

Views

Double integral of triangle

Published on 11 Apr 2026 - 2:36

score 87 · Answer 8 · 2026-04-15 06:46:06

87

Views

Given two twice-differentiable functions $f$ and $g$, use the chain rule to express the following derivatives of $u(x,t)=f(x+4t)+g(x-4t)$. In terms of

Published on 15 Apr 2026 - 6:46

score 53 · Answer 9 · 2026-04-15 21:01:09

53

Views

Simplifying $\left(\nabla\vec{A}\right)\vec{B}$ to a more computationally efficient form

Published on 15 Apr 2026 - 21:01

score 167 · Answer 10 · 2026-04-16 08:05:12

167

Views

Divergence of separation vectors $ \nabla \cdot ( \frac{\hat{q} }{q^2})$

Published on 16 Apr 2026 - 8:05

score 106 · Answer 11 · 2026-04-13 17:29:02

106

Views

Finding center of a sphere given a line and a plane

Published on 13 Apr 2026 - 17:29

score 81 · Answer 12 · 2026-04-15 17:42:04

81

Views

Show that the inverse square field has a vector potential for all points except along the $x_3$ axis.

Published on 15 Apr 2026 - 17:42

score 61 · Answer 13 · 2026-04-14 19:15:48

61

Views

Show that tend to $\operatorname{curl} F(x_0, y_0, z_0)$ when $\Delta x, $ $\Delta y$, $\Delta z$ tend to zero.

Published on 14 Apr 2026 - 19:15

score 180 · Answer 14 · 2026-04-15 15:46:01

180

Views

Why is the (Laplace) E (x) / second derivative equal to 0 of a Newton Potential?

Published on 15 Apr 2026 - 15:46

score 281 · Answer 15 · 2026-04-14 17:29:43

281

Views

curl of a vector orthogonal to vector means that said vector is the gradient of a scalar?

Published on 14 Apr 2026 - 17:29

List Question

Softwares for animating moving 3-d vector fields?

Why is $\nabla_{\mathbf{x}}z \not= \nabla_{\mathbf{y}}z \times \frac{\partial\mathbf{y}}{\partial\mathbf{x}} $?

Let $f(x,y)=e^{-(x^2+y^2)}$ and $g(x,y)=\frac{e^{-1}}{x^2+y^2}$. Show that $f(a,b)=g(a,b)$ at any point $(a,b)$ where $a^2+b^2=1$.

Suppose $u(x,y)$ is a function $C^2$ from $\mathbb{R}^2$ to $\mathbb{R}$. After a change to polar coordinates $u(x,y)=u(r\cos \theta , r\sin \theta)$.

Three vectors resultant force

Is the converse of the statement "If partial derivatives exist and are continuous, then the function is differentiable at that point" true?

Double integral of triangle

Given two twice-differentiable functions $f$ and $g$, use the chain rule to express the following derivatives of $u(x,t)=f(x+4t)+g(x-4t)$. In terms of

Simplifying $\left(\nabla\vec{A}\right)\vec{B}$ to a more computationally efficient form

Divergence of separation vectors $ \nabla \cdot ( \frac{\hat{q} }{q^2})$

Finding center of a sphere given a line and a plane

Show that the inverse square field has a vector potential for all points except along the $x_3$ axis.

Show that tend to $\operatorname{curl} F(x_0, y_0, z_0)$ when $\Delta x, $ $\Delta y$, $\Delta z$ tend to zero.

Why is the (Laplace) E (x) / second derivative equal to 0 of a Newton Potential?

curl of a vector orthogonal to vector means that said vector is the gradient of a scalar?

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