Question

Can we find $n$ Pythagorean triples with a common leg for any $n$?

score 129 · Answer 1 · 2026-03-18 00:35:13

129

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Can we find $n$ Pythagorean triples with a common leg for any $n$?

Published on 18 Mar 2026 - 0:35

score 80 · Answer 2 · 2026-03-22 11:40:23

80

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Questions on positivity of quadratic form with orthogonal constraints

Published on 22 Mar 2026 - 11:40

score 270 · Answer 3 · 2026-03-23 17:32:40

270

Views

How does positive (semi)definiteness help with showing convexity of quadratic forms?

Published on 23 Mar 2026 - 17:32

score 234 · Answer 4 · 2026-03-20 07:45:09

234

Views

Equivalence of integral primitive indefinite binary quadratic forms

Published on 20 Mar 2026 - 7:45

score 197 · Answer 5 · 2026-03-19 23:57:17

197

Views

Signs of eigenvalues of $3$ by $3$ matrix

Published on 19 Mar 2026 - 23:57

score 347 · Answer 6 · 2026-03-22 12:11:21

347

Views

Homogeneous quadratic in $n$ variables has nonzero singular point iff associated symmetric matrix has zero determinant.

Published on 22 Mar 2026 - 12:11

score 278 · Answer 7 · 2026-03-19 20:27:03

278

Views

Trace form and totally real number fields

Published on 19 Mar 2026 - 20:27

score 208 · Answer 8 · 2026-03-22 09:01:08

208

Views

Let $f(x) = x^\top Q \, x$, where $Q \in \mathbb R^{n×n}$ is NOT symmetric. Show that the Hessian is $H_f (x) = Q + Q^\top$

Published on 22 Mar 2026 - 9:01

score 58 · Answer 9 · 2026-03-20 07:20:15

58

Views

Graph of curve defined by $3x^2+3y^2-2xy-2=0$

Published on 20 Mar 2026 - 7:20

score 65 · Answer 10 · 2026-03-22 10:05:12

65

Views

Question on quadratic forms of dimension 3

Published on 22 Mar 2026 - 10:05

score 759 · Answer 11 · 2026-03-24 07:14:49

759

Views

Can the Gram-Schmidt algorithm be extended to construct a basis for $T_p M$ of a semi-Riemannian manifold?

Published on 24 Mar 2026 - 7:14

score 1.8k · Answer 12 · 2026-03-24 14:02:53

1.8k

Views

Do we discuss quadratic form of complex matrix?

Published on 24 Mar 2026 - 14:02

score 947 · Answer 13 · 2026-03-24 14:02:53

947

Views

Prove $\max_X tr(X^TAX) = $ k largest eigenvalues of $A$ for real, symmetric $A$ and $X^TX=I$

Published on 24 Mar 2026 - 14:02

score 1.4k · Answer 14 · 2026-03-22 20:10:42

1.4k

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Find k for Positive Definite Quadratic Form

Published on 22 Mar 2026 - 20:10

score 218 · Answer 15 · 2026-03-24 14:02:53

218

Views

Quadratic Form of the product of two matrices

Published on 24 Mar 2026 - 14:02

List Question

Can we find $n$ Pythagorean triples with a common leg for any $n$?

Questions on positivity of quadratic form with orthogonal constraints

How does positive (semi)definiteness help with showing convexity of quadratic forms?

Equivalence of integral primitive indefinite binary quadratic forms

Signs of eigenvalues of $3$ by $3$ matrix

Homogeneous quadratic in $n$ variables has nonzero singular point iff associated symmetric matrix has zero determinant.

Trace form and totally real number fields

Let $f(x) = x^\top Q \, x$, where $Q \in \mathbb R^{n×n}$ is NOT symmetric. Show that the Hessian is $H_f (x) = Q + Q^\top$

Graph of curve defined by $3x^2+3y^2-2xy-2=0$

Question on quadratic forms of dimension 3

Can the Gram-Schmidt algorithm be extended to construct a basis for $T_p M$ of a semi-Riemannian manifold?

Do we discuss quadratic form of complex matrix?

Prove $\max_X tr(X^TAX) = $ k largest eigenvalues of $A$ for real, symmetric $A$ and $X^TX=I$

Find k for Positive Definite Quadratic Form

Quadratic Form of the product of two matrices

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