Question

Line integral along the boundary of the intersection of a plane and a parabaloid

score 63 · Answer 1 · 2026-05-16 22:10:02

63

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Line integral along the boundary of the intersection of a plane and a parabaloid

Published on 16 May 2026 - 22:10

score 759 · Answer 2 · 2026-04-14 04:00:25

759

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Vector analysis notation and cross product with nabla

Published on 14 Apr 2026 - 4:00

score 185 · Answer 3 · 2026-04-18 13:53:04

185

Views

$\{x^2 + y^2<1\}$ is an open set in $\mathbb{R}^3$?

Published on 18 Apr 2026 - 13:53

score 62 · Answer 4 · 2026-04-12 06:24:25

62

Views

How do I parameterize $Ax^2+Bxy+Cy^2=1$?

Published on 12 Apr 2026 - 6:24

score 123 · Answer 5 · 2026-04-17 15:48:17

123

Views

Intersection of two solid cylinders

Published on 17 Apr 2026 - 15:48

score 236 · Answer 6 · 2026-04-13 02:34:33

236

Views

What is the geometric proof for the Cartesian formula of the gradient

Published on 13 Apr 2026 - 2:34

score 18 · Answer 7 · 2026-04-17 12:35:01

18

Views

Gradient of function partitioned

Published on 17 Apr 2026 - 12:35

score 302 · Answer 8 · 2026-04-13 16:02:03

302

Views

Can we define a “directional derivative” at saddle points?

Published on 13 Apr 2026 - 16:02

score 41 · Answer 9 · 2026-05-11 09:15:21

41

Views

Can the traditional space of Euclidean vectors (with dot and cross products) be extended to be algebra over reals and what properties would it have?

Published on 11 May 2026 - 9:15

score 32 · Answer 10 · 2026-04-13 01:30:50

32

Views

Consider the linear function F, Is $ F $ uniformly continuous? Find what is requested.

Published on 13 Apr 2026 - 1:30

score 189 · Answer 11 · 2026-04-15 00:31:31

189

Views

Bound for gradient of a Lipschitz function

Published on 15 Apr 2026 - 0:31

score 238 · Answer 12 · 2026-04-10 14:10:13

238

Views

What does it mean to differentiate a vector?

Published on 10 Apr 2026 - 14:10

score 59 · Answer 13 · 2026-04-15 07:07:57

59

Views

Does the relation $\nabla\times\vec{A}\approx\nabla\vec{A}-\left(\nabla\vec{A}\right)^T$ have a proper name?

Published on 15 Apr 2026 - 7:07

score 55 · Answer 14 · 2026-04-15 00:53:23

55

Views

Prove that $f(x) = \max\{ u \cdot x \mid u \in \Sigma \}$ for $\Sigma = \{ u \in \mathbb{R}^n \mid \exists x \in \mathbb{R}^n, u = \nabla f(x) \}$

Published on 15 Apr 2026 - 0:53

score 73 · Answer 15 · 2026-04-17 07:43:10

73

Views

Prove that $f(x') \geq \nabla f(x) \cdot x' $ for $x \in \mathbb{R}^n$ and $ x' \in B(x,r) \subset \mathbb{R}^n \setminus \{0\}$

Published on 17 Apr 2026 - 7:43

List Question

Line integral along the boundary of the intersection of a plane and a parabaloid

Vector analysis notation and cross product with nabla

$\{x^2 + y^2<1\}$ is an open set in $\mathbb{R}^3$?

How do I parameterize $Ax^2+Bxy+Cy^2=1$?

Intersection of two solid cylinders

What is the geometric proof for the Cartesian formula of the gradient

Gradient of function partitioned

Can we define a “directional derivative” at saddle points?

Can the traditional space of Euclidean vectors (with dot and cross products) be extended to be algebra over reals and what properties would it have?

Consider the linear function F, Is $ F $ uniformly continuous? Find what is requested.

Bound for gradient of a Lipschitz function

What does it mean to differentiate a vector?

Does the relation $\nabla\times\vec{A}\approx\nabla\vec{A}-\left(\nabla\vec{A}\right)^T$ have a proper name?

Prove that $f(x) = \max\{ u \cdot x \mid u \in \Sigma \}$ for $\Sigma = \{ u \in \mathbb{R}^n \mid \exists x \in \mathbb{R}^n, u = \nabla f(x) \}$

Prove that $f(x') \geq \nabla f(x) \cdot x' $ for $x \in \mathbb{R}^n$ and $ x' \in B(x,r) \subset \mathbb{R}^n \setminus \{0\}$

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