Question

Meanings of substituting variables in polynomials?

score 124 · Answer 1 · 2026-04-03 05:52:44

124

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Meanings of substituting variables in polynomials?

Published on 03 Apr 2026 - 5:52

score 196 · Answer 2 · 2026-03-27 18:09:33

196

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On the norm of a quadratic form associated with a matrix product

Published on 27 Mar 2026 - 18:09

score 48 · Answer 3 · 2026-03-30 01:31:08

48

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Find a base such that $f(x,y)=x_{1}y_1+2x_{1}y_{2}+2x_{2}y_{1}+4x_{2}y_2$ has a diagonal form

Published on 30 Mar 2026 - 1:31

score 57 · Answer 4 · 2026-03-26 22:55:35

57

Views

Show that the trace $c_{ii}$ of a quadratic form Q does not depend on the choice of basis (invariant)

Published on 26 Mar 2026 - 22:55

score 72 · Answer 5 · 2020-10-19 08:37:44

72

Views

Signature of quadratic form when q(x)=l1(x)*l2(x)

Published on 19 Oct 2020 - 8:37

score 245 · Answer 6 · 2020-10-19 12:03:21

245

Views

rank of a quadratic form $q : \mathbb{F} ^n \rightarrow \mathbb{F}$ where there is a subspace of dimension $n-1$ that the form returns $0$ above?

Published on 19 Oct 2020 - 12:03

score 172 · Answer 7 · 2020-10-23 02:16:46

172

Views

Proving that two matrices are congruent, in order to establish a rank and signature result.

Published on 23 Oct 2020 - 2:16

score 937 · Answer 8 · 2020-10-23 08:04:06

937

Views

Characterize the level sets of quadratic forms

Published on 23 Oct 2020 - 8:04

score 41 · Answer 9 · 2020-10-23 20:22:38

41

Views

Expectation of $\frac{u^\top A u}{u^\top B u}$ if $u$ is multivariate standard normal

Published on 23 Oct 2020 - 20:22

score 71 · Answer 10 · 2020-10-24 09:57:48

71

Views

Prove: $\|v\|\le\|T(v)\|\le9\|v\|$, Given a linear transformation $T$ defined as $T(x,y)=(x+2y, 2x+y)$

Published on 24 Oct 2020 - 9:57

score 211 · Answer 11 · 2026-03-29 15:14:54

211

Views

How to transform a cubic non convex problem into a quadratic convex problem

Published on 29 Mar 2026 - 15:14

score 439 · Answer 12 · 2020-10-26 13:09:02

439

Views

Find the signature of quadratic form : $\left(x^2+y^2+z^2\right)-4\left(xy+xz+yz\right)$

Published on 26 Oct 2020 - 13:09

score 498 · Answer 13 · 2020-10-26 18:40:56

498

Views

Equivalence of $Ax = b$ and the quadratic form?

Published on 26 Oct 2020 - 18:40

score 236 · Answer 14 · 2020-10-26 21:22:45

236

Views

Simultaneous vanishing of quadratic forms

Published on 26 Oct 2020 - 21:22

score 153 · Answer 15 · 2026-04-02 06:10:34

153

Views

Finding axes of steepest and shallowest curvature at turning point of a quadratic form

Published on 02 Apr 2026 - 6:10

List Question

Meanings of substituting variables in polynomials?

On the norm of a quadratic form associated with a matrix product

Find a base such that $f(x,y)=x_{1}y_1+2x_{1}y_{2}+2x_{2}y_{1}+4x_{2}y_2$ has a diagonal form

Show that the trace $c_{ii}$ of a quadratic form Q does not depend on the choice of basis (invariant)

Signature of quadratic form when q(x)=l1(x)*l2(x)

rank of a quadratic form $q : \mathbb{F} ^n \rightarrow \mathbb{F}$ where there is a subspace of dimension $n-1$ that the form returns $0$ above?

Proving that two matrices are congruent, in order to establish a rank and signature result.

Characterize the level sets of quadratic forms

Expectation of $\frac{u^\top A u}{u^\top B u}$ if $u$ is multivariate standard normal

Prove: $\|v\|\le\|T(v)\|\le9\|v\|$, Given a linear transformation $T$ defined as $T(x,y)=(x+2y, 2x+y)$

How to transform a cubic non convex problem into a quadratic convex problem

Find the signature of quadratic form : $\left(x^2+y^2+z^2\right)-4\left(xy+xz+yz\right)$

Equivalence of $Ax = b$ and the quadratic form?

Simultaneous vanishing of quadratic forms

Finding axes of steepest and shallowest curvature at turning point of a quadratic form

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