Question

Relationship between gradient and position vector

score 75 · Answer 1 · 2023-08-08 10:13:10

75

Views

Relationship between gradient and position vector

Published on 08 Aug 2023 - 10:13

score 25 · Answer 2 · 2026-03-25 19:03:15

25

Views

Why does the invariant 1-tensor integral gives 0 for any volume?

Published on 25 Mar 2026 - 19:03

score 76 · Answer 3 · 2026-04-06 02:51:30

76

Views

Derivative of a matrix and a vector

Published on 06 Apr 2026 - 2:51

score 88 · Answer 4 · 2026-03-25 21:46:55

88

Views

Distance becoming equal to displacement

Published on 25 Mar 2026 - 21:46

score 104 · Answer 5 · 2023-08-11 18:14:53

104

Views

How we can show that Taylor series of a real-valued function of a complex vector variable is real-valued?

Published on 11 Aug 2023 - 18:14

score 77 · Answer 6 · 2026-04-02 17:51:09

77

Views

How to write clear proofs involving curves and surfaces, when switching between different frames?

Published on 02 Apr 2026 - 17:51

score 55 · Answer 7 · 2026-04-12 16:20:47

55

Views

Why simple connectivity allows for the potential function lemma/Greene's/Stokes theorem

Published on 12 Apr 2026 - 16:20

score 498 · Answer 8 · 2026-04-12 02:25:39

498

Views

The directional derivative equals dot product of gradient and a unit vector. But what if the function is not totally differentiable?

Published on 12 Apr 2026 - 2:25

score 165 · Answer 9 · 2026-03-25 17:22:44

165

Views

Prove that $\vec{\nabla} r^n = n r^{n-2} \vec{\tilde{r}}$

Published on 25 Mar 2026 - 17:22

score 324 · Answer 10 · 2026-03-25 09:37:01

324

Views

Prove Kepler's second law of planetary motion

Published on 25 Mar 2026 - 9:37

score 42 · Answer 11 · 2026-04-08 20:57:49

42

Views

Does $\kappa = |T \times \frac{dT}{ds}|$?

Published on 08 Apr 2026 - 20:57

score 82 · Answer 12 · 2023-08-18 04:17:55

82

Views

Generalized stokes theorem over the punctured disc

Published on 18 Aug 2023 - 4:17

score 60 · Answer 13 · 2026-03-29 12:47:37

60

Views

Determine the largest volume between two spheres

Published on 29 Mar 2026 - 12:47

score 65 · Answer 14 · 2023-08-21 08:33:35

Show that $\vec F=\left(\frac{y + z}{x^2+y^2+z^2}, \frac{x + z}{x^2+y^2+z^2}, \frac{y + x}{x^2+y^2+z^2}\right)$ is irrotational but not conservative.

score 31 · Answer 15 · 2026-03-26 17:32:17

31

Views

Can you characterize a vector field $v$ with uniform curl as $v(x) = a + b \times x$?

Published on 26 Mar 2026 - 17:32

List Question

Relationship between gradient and position vector

Why does the invariant 1-tensor integral gives 0 for any volume?

Derivative of a matrix and a vector

Distance becoming equal to displacement

How we can show that Taylor series of a real-valued function of a complex vector variable is real-valued?

How to write clear proofs involving curves and surfaces, when switching between different frames?

Why simple connectivity allows for the potential function lemma/Greene's/Stokes theorem

The directional derivative equals dot product of gradient and a unit vector. But what if the function is not totally differentiable?

Prove that $\vec{\nabla} r^n = n r^{n-2} \vec{\tilde{r}}$

Prove Kepler's second law of planetary motion

Does $\kappa = |T \times \frac{dT}{ds}|$?

Generalized stokes theorem over the punctured disc

Determine the largest volume between two spheres

Show that $\vec F=\left(\frac{y + z}{x^2+y^2+z^2}, \frac{x + z}{x^2+y^2+z^2}, \frac{y + x}{x^2+y^2+z^2}\right)$ is irrotational but not conservative.

Can you characterize a vector field $v$ with uniform curl as $v(x) = a + b \times x$?

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