Question

About possible signatures of a non-degenerate symmetric bilinear form.

score 198 · Answer 1 · 2020-11-06 19:27:40

198

Views

About possible signatures of a non-degenerate symmetric bilinear form.

Published on 06 Nov 2020 - 19:27

score 583 · Answer 2 · 2026-03-29 08:16:08

583

Views

If $f$ is a bilinear function then prove that $Df(a,b).(x,y)=f(a,y)+f(x,b)$

Published on 29 Mar 2026 - 8:16

score 95 · Answer 3 · 2020-11-29 11:59:52

95

Views

Chain differentiation of bilinear form.

Published on 29 Nov 2020 - 11:59

score 172 · Answer 4 · 2020-11-29 12:31:26

172

Views

Bilinear forms on normed vector spaces

Published on 29 Nov 2020 - 12:31

score 77 · Answer 5 · 2020-11-29 15:44:33

77

Views

Given a positive definite bilinear form, show that there exists $\alpha > 0$ so that $a(x,x) \ge \alpha||x||_{2}^2$

Published on 29 Nov 2020 - 15:44

score 74 · Answer 6 · 2020-12-04 07:33:38

74

Views

coordinate tensor with respect to the standard basis vectors

Published on 04 Dec 2020 - 7:33

score 175 · Answer 7 · 2026-03-29 19:49:09

175

Views

Is there a name for "positive-semidefinite" quadratic forms when the base field is not $\mathbb R$?

Published on 29 Mar 2026 - 19:49

score 192 · Answer 8 · 2020-12-25 11:20:55

192

Views

Characterization of cross product (proof that only exists in dimension 3)

Published on 25 Dec 2020 - 11:20

score 561 · Answer 9 · 2026-03-27 15:07:43

561

Views

Can every isomorphism between a vector space and its dual be written as a non-degenerate bilinear form?

Published on 27 Mar 2026 - 15:07

score 67 · Answer 10 · 2021-01-08 08:02:13

67

Views

How can I show that $f$ is bilinear and onto?

Published on 08 Jan 2021 - 8:02

score 29 · Answer 11 · 2026-02-23 12:50:35

29

Views

Maximum on circle through normal p.d.f in $\mathbb{R}^3$

Published on 23 Feb 2026 - 12:50

score 466 · Answer 12 · 2021-01-10 07:52:28

466

Views

Pedantic question about symmetric/non-symmetric bilinear forms: is symmetry of the bilinear form redundant?

Published on 10 Jan 2021 - 7:52

score 57 · Answer 13 · 2021-01-13 13:22:34

57

Views

Solve $A\mathbf{x}=\mathbf{v}(\mathbf{x}^TD\mathbf{v})$ for $A$

Published on 13 Jan 2021 - 13:22

score 276 · Answer 14 · 2021-01-13 15:38:57

276

Views

Connection between weak coercivity (Garding inequality) and inf-sup condition (Necas theorem)?

Published on 13 Jan 2021 - 15:38

score 185 · Answer 15 · 2021-01-14 13:24:04

185

Views

Bilinear forms on R^n: What is the exact meaning of the indices i and j for <ei,ej>

Published on 14 Jan 2021 - 13:24

List Question

About possible signatures of a non-degenerate symmetric bilinear form.

If $f$ is a bilinear function then prove that $Df(a,b).(x,y)=f(a,y)+f(x,b)$

Chain differentiation of bilinear form.

Bilinear forms on normed vector spaces

Given a positive definite bilinear form, show that there exists $\alpha > 0$ so that $a(x,x) \ge \alpha||x||_{2}^2$

coordinate tensor with respect to the standard basis vectors

Is there a name for "positive-semidefinite" quadratic forms when the base field is not $\mathbb R$?

Characterization of cross product (proof that only exists in dimension 3)

Can every isomorphism between a vector space and its dual be written as a non-degenerate bilinear form?

How can I show that $f$ is bilinear and onto?

Maximum on circle through normal p.d.f in $\mathbb{R}^3$

Pedantic question about symmetric/non-symmetric bilinear forms: is symmetry of the bilinear form redundant?

Solve $A\mathbf{x}=\mathbf{v}(\mathbf{x}^TD\mathbf{v})$ for $A$

Connection between weak coercivity (Garding inequality) and inf-sup condition (Necas theorem)?

Bilinear forms on R^n: What is the exact meaning of the indices i and j for <ei,ej>

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