Question

Is an ellipsoid defined as a quadric always symmetric?

score 297 · Answer 1 · 2026-03-27 16:22:03

297

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Is an ellipsoid defined as a quadric always symmetric?

Published on 27 Mar 2026 - 16:22

score 104 · Answer 2 · 2026-03-27 13:03:29

104

Views

Decompose form on $\Bbb R^4$ as the sum of squares of independent linear forms

Published on 27 Mar 2026 - 13:03

score 578 · Answer 3 · 2020-04-09 14:49:45

578

Views

Signature of quadratic form on vector space of even dimension

Published on 09 Apr 2020 - 14:49

score 57 · Answer 4 · 2020-04-10 08:00:19

57

Views

Dimension 3 quadratic forms are isotropic iff they are zero in the Witt ring?

Published on 10 Apr 2020 - 8:00

score 73 · Answer 5 · 2020-04-10 23:28:10

73

Views

How many (reduced) quadratic forms represent a given prime?

Published on 10 Apr 2020 - 23:28

score 202 · Answer 6 · 2026-03-25 11:10:21

202

Views

Minimizing quadratic form with quadratic and linear constraints

Published on 25 Mar 2026 - 11:10

score 221 · Answer 7 · 2026-03-25 23:13:11

221

Views

Why is it that if $f(x) = x^T A x$ then $\nabla f = \frac{1}{2} (A+A^T) x$

Published on 25 Mar 2026 - 23:13

score 58 · Answer 8 · 2020-04-12 23:59:41

58

Views

Reference Request - an approachable survey of Gauss' work on the class number of quadratic number fields using quadratic forms

Published on 12 Apr 2020 - 23:59

score 125 · Answer 9 · 2020-04-13 04:38:48

125

Views

Normalize quadratic form (parabolic pillar)

Published on 13 Apr 2020 - 4:38

score 174 · Answer 10 · 2020-04-15 20:37:45

174

Views

Eigenvectors of a quadratic form restricted to a linear subspace

Published on 15 Apr 2020 - 20:37

score 115 · Answer 11 · 2026-03-25 17:43:46

115

Views

Different proof of spectral theorem for self-adjoint operators

Published on 25 Mar 2026 - 17:43

score 33 · Answer 12 · 2020-04-16 08:56:29

$\Phi$ a quadratic form, then $\sqrt{\Phi (x+y)} = \sqrt{\Phi (x)} + \sqrt{\Phi (y)}$ if $x= \lambda y for x,y, \lambda \in \mathbb{K}$

score 263 · Answer 13 · 2020-04-17 05:33:15

263

Views

Value of the matrix of 2nd order partial derivatives of the quadratic form?

Published on 17 Apr 2020 - 5:33

score 935 · Answer 14 · 2020-04-17 22:54:11

935

Views

Umbilical points of the ellipsoid.

Published on 17 Apr 2020 - 22:54

score 79 · Answer 15 · 2020-04-21 06:10:05

79

Views

Primes of the form $p=x^2+ny^2$ – Why are congruence given mod $4n$

Published on 21 Apr 2020 - 6:10

List Question

Is an ellipsoid defined as a quadric always symmetric?

Decompose form on $\Bbb R^4$ as the sum of squares of independent linear forms

Signature of quadratic form on vector space of even dimension

Dimension 3 quadratic forms are isotropic iff they are zero in the Witt ring?

How many (reduced) quadratic forms represent a given prime?

Minimizing quadratic form with quadratic and linear constraints

Why is it that if $f(x) = x^T A x$ then $\nabla f = \frac{1}{2} (A+A^T) x$

Reference Request - an approachable survey of Gauss' work on the class number of quadratic number fields using quadratic forms

Normalize quadratic form (parabolic pillar)

Eigenvectors of a quadratic form restricted to a linear subspace

Different proof of spectral theorem for self-adjoint operators

$\Phi$ a quadratic form, then $\sqrt{\Phi (x+y)} = \sqrt{\Phi (x)} + \sqrt{\Phi (y)}$ if $x= \lambda y for x,y, \lambda \in \mathbb{K}$

Value of the matrix of 2nd order partial derivatives of the quadratic form?

Umbilical points of the ellipsoid.

Primes of the form $p=x^2+ny^2$ – Why are congruence given mod $4n$

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