Question

Can the derivative operator for polar vectors still be writen as a matrix?

score 14 · Answer 1 · 2026-04-01 23:08:48

14

Views

Can the derivative operator for polar vectors still be writen as a matrix?

Published on 01 Apr 2026 - 23:08

score 176 · Answer 2 · 2026-03-26 02:41:37

176

Views

¿Pullback commutes with lie derivative?

Published on 26 Mar 2026 - 2:41

score 46 · Answer 3 · 2023-10-31 00:25:45

46

Views

Does there exist a flow for the outward-pointing normal vector field of the unit square?

Published on 31 Oct 2023 - 0:25

score 73 · Answer 4 · 2023-11-02 21:18:09

73

Views

Question about the curl of a vector field.

Published on 02 Nov 2023 - 21:18

score 95 · Answer 5 · 2023-11-03 10:36:57

95

Views

Let $V$ be vector space over $K$, $v_1,...v_n$ linearly independent and $v_{n+1}\in V$\Span{$v_1,...v_n$} Show $v_1,...v_n,v_{n+1}$ are linearly indep

Published on 03 Nov 2023 - 10:36

score 202 · Answer 6 · 2023-11-03 11:04:45

202

Views

Let $U, W$ be subspaces of finite dimensional Vector Space $V$ over $K$ with $\dim U + \dim W > \dim V$. Show that $U \cap W \neq$ {$0$}.

Published on 03 Nov 2023 - 11:04

score 39 · Answer 7 · 2026-03-26 14:34:00

39

Views

Disjoint union of $\Lambda^k(T_p U)$ as a bundle.

Published on 26 Mar 2026 - 14:34

score 115 · Answer 8 · 2023-11-04 13:40:09

115

Views

Let $V$ be a finite dimensional vector space over $K$ and $A\cup\{a\}\subseteq V$ Show $a\in\text{span} A \iff \text{rank} A=\text{rank} A\cup \{a\}$

Published on 04 Nov 2023 - 13:40

score 110 · Answer 9 · 2026-04-01 05:18:28

110

Views

Group laws of the flow of time-dependent vector field

Published on 01 Apr 2026 - 5:18

score 62 · Answer 10 · 2023-11-04 19:18:40

62

Views

Show linear independence implies $\nexists(\lambda_1,...,\lambda_{n-1})\neq (0,...,0) : v_n=\lambda_1v_1+...+\lambda_{n-1}v_{n-1}$ but not the reverse

Published on 04 Nov 2023 - 19:18

score 42 · Answer 11 · 2026-03-27 15:59:39

42

Views

Intuition about the divergence of a vector field in non-orthogonal basis

Published on 27 Mar 2026 - 15:59

score 56 · Answer 12 · 2026-03-26 11:03:47

56

Views

Homoclinic, heteroclinic orbits and nonwandering points

Published on 26 Mar 2026 - 11:03

score 150 · Answer 13 · 2023-11-08 15:32:49

150

Views

Question about Lie bracket and right invariant vector fields

Published on 08 Nov 2023 - 15:32

score 109 · Answer 14 · 2023-11-10 06:15:27

109

Views

Prove the existence of a smooth global frames on $\mathbb{S}^7$.

Published on 10 Nov 2023 - 6:15

score 51 · Answer 15 · 2026-03-30 13:54:42

51

Views

Let $V$ and $W$ be vector spaces over $K$ and $f: V \to W$ a Homomorphism. Prove that this is a Homomorphism: $f^: V^ \to W^*, g \to g \circ f$

Published on 30 Mar 2026 - 13:54

List Question

Can the derivative operator for polar vectors still be writen as a matrix?

¿Pullback commutes with lie derivative?

Does there exist a flow for the outward-pointing normal vector field of the unit square?

Question about the curl of a vector field.

Let $V$ be vector space over $K$, $v_1,...v_n$ linearly independent and $v_{n+1}\in V$\Span{$v_1,...v_n$} Show $v_1,...v_n,v_{n+1}$ are linearly indep

Let $U, W$ be subspaces of finite dimensional Vector Space $V$ over $K$ with $\dim U + \dim W > \dim V$. Show that $U \cap W \neq$ {$0$}.

Disjoint union of $\Lambda^k(T_p U)$ as a bundle.

Let $V$ be a finite dimensional vector space over $K$ and $A\cup\{a\}\subseteq V$ Show $a\in\text{span} A \iff \text{rank} A=\text{rank} A\cup \{a\}$

Group laws of the flow of time-dependent vector field

Show linear independence implies $\nexists(\lambda_1,...,\lambda_{n-1})\neq (0,...,0) : v_n=\lambda_1v_1+...+\lambda_{n-1}v_{n-1}$ but not the reverse

Intuition about the divergence of a vector field in non-orthogonal basis

Homoclinic, heteroclinic orbits and nonwandering points

Question about Lie bracket and right invariant vector fields

Prove the existence of a smooth global frames on $\mathbb{S}^7$.

Let $V$ and $W$ be vector spaces over $K$ and $f: V \to W$ a Homomorphism. Prove that this is a Homomorphism: $f^: V^ \to W^*, g \to g \circ f$

Trending Questions

Popular # Hahtags

Popular Questions