Question

Show that quadratic form $z_0^2+z_1^2+z_2^2$ is invariant under $SO_3(\mathbb{R})$

score 36 · Answer 1 · 2014-11-14 15:49:16

36

Views

Show that quadratic form $z_0^2+z_1^2+z_2^2$ is invariant under $SO_3(\mathbb{R})$

Published on 14 Nov 2014 - 15:49

score 305 · Answer 2 · 2014-11-15 04:16:24

305

Views

Composition of binary quadratic forms as matrix operations

Published on 15 Nov 2014 - 4:16

score 140 · Answer 3 · 2014-11-15 12:52:33

140

Views

Is there a way to analytically find a stationary point along an arbitrary line in a multivariable quadratic function?

Published on 15 Nov 2014 - 12:52

score 576 · Answer 4 · 2014-11-15 13:26:25

576

Views

Classify the surface: $x^2+y^2-z^2+2xy-2xz-2yz-y=0$

Published on 15 Nov 2014 - 13:26

score 567 · Answer 5 · 2026-03-25 01:18:49

567

Views

Lattices in $\mathbb C$ as modules of the ring of integers in an imaginary quadratic field

Published on 25 Mar 2026 - 1:18

score 41 · Answer 6 · 2014-11-15 19:28:23

41

Views

Show that $x \mapsto \left( x^{\top} \sigma x , -\mu^{\top}x \right)^{\top}$ transforms a given set into a convex set.

Published on 15 Nov 2014 - 19:28

score 166 · Answer 7 · 2014-11-20 00:27:50

166

Views

For what $a,b$ such that $ax^2+by^2 = z^2$?

Published on 20 Nov 2014 - 0:27

score 59 · Answer 8 · 2014-11-20 09:15:55

59

Views

Is the sums of sqaures (without zero) a multiplicative group?

Published on 20 Nov 2014 - 9:15

score 722 · Answer 9 · 2014-11-24 19:03:13

722

Views

Sinha's Theorem for Equal Sums of Like Powers $x_1^7+x_2^7+x_3^7+\dots$

Published on 24 Nov 2014 - 19:03

score 186 · Answer 10 · 2014-11-24 20:19:54

186

Views

Theorem for Equal Sums of Like Powers $x_1^8+x_2^8+x_3^8+\dots$

Published on 24 Nov 2014 - 20:19

score 233 · Answer 11 · 2014-11-28 20:55:42

233

Views

A Tale of Two Quadratic Identities (Pell-like)

Published on 28 Nov 2014 - 20:55

score 62 · Answer 12 · 2014-11-30 18:46:45

62

Views

Quadratic Equations GRE Quants

Published on 30 Nov 2014 - 18:46

score 77 · Answer 13 · 2026-03-26 20:36:41

77

Views

What is the solution for this quadratic program?

Published on 26 Mar 2026 - 20:36

score 490 · Answer 14 · 2026-03-25 06:04:16

490

Views

Gradient of $x^T B^T B x - x^T B^T b - b^T Bx$

Published on 25 Mar 2026 - 6:04

score 118 · Answer 15 · 2014-12-04 08:09:19

118

Views

Characterization of integral quadratic forms representing the same numbers?

Published on 04 Dec 2014 - 8:09

List Question

Show that quadratic form $z_0^2+z_1^2+z_2^2$ is invariant under $SO_3(\mathbb{R})$

Composition of binary quadratic forms as matrix operations

Is there a way to analytically find a stationary point along an arbitrary line in a multivariable quadratic function?

Classify the surface: $x^2+y^2-z^2+2xy-2xz-2yz-y=0$

Lattices in $\mathbb C$ as modules of the ring of integers in an imaginary quadratic field

Show that $x \mapsto \left( x^{\top} \sigma x , -\mu^{\top}x \right)^{\top}$ transforms a given set into a convex set.

For what $a,b$ such that $ax^2+by^2 = z^2$?

Is the sums of sqaures (without zero) a multiplicative group?

Sinha's Theorem for Equal Sums of Like Powers $x_1^7+x_2^7+x_3^7+\dots$

Theorem for Equal Sums of Like Powers $x_1^8+x_2^8+x_3^8+\dots$

A Tale of Two Quadratic Identities (Pell-like)

Quadratic Equations GRE Quants

What is the solution for this quadratic program?

Gradient of $x^T B^T B x - x^T B^T b - b^T Bx$

Characterization of integral quadratic forms representing the same numbers?

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