Question

Discriminant (in the context of PDE classification): $b^2 - 4ac$ or $b^2 - ac$?

score 3.2k · Answer 1 · 2026-03-24 19:08:59

3.2k

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Discriminant (in the context of PDE classification): $b^2 - 4ac$ or $b^2 - ac$?

Published on 24 Mar 2026 - 19:08

score 2.5k · Answer 2 · 2026-03-20 01:27:15

2.5k

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Show that $f(x) = x^TQx$ is convex using the inequality $f(y+\alpha(x-y))-\alpha f(x)-(1-a)f(y)\le 0$

Published on 20 Mar 2026 - 1:27

score 7.7k · Answer 3 · 2018-08-14 07:52:48

7.7k

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Sylvester's criteria and Negative definite Matrices.

Published on 14 Aug 2018 - 7:52

score 79 · Answer 4 · 2018-08-14 17:43:46

79

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Guarantees of a Quadratic Form for Two Related Matrices

Published on 14 Aug 2018 - 17:43

score 27 · Answer 5 · 2018-08-14 19:36:29

$L=\left\{v:q_1\left(v\right) \ge q_2\left(v\right)\right\}$ is a subspace of $V$.Show that $q_1 \ge q_2 \:or\: q_2 \ge q_1 \forall v\in V$

score 232 · Answer 6 · 2018-08-15 15:42:27

232

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Solve $ \binom{a}{2} + \binom{b}{2} = \binom{c}{2} $ with $a,b,c \in \mathbb{Z}$

Published on 15 Aug 2018 - 15:42

score 193 · Answer 7 · 2018-08-16 12:04:00

193

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Surjectivity and Orthogonal Complements with Quadratic Forms

Published on 16 Aug 2018 - 12:04

score 313 · Answer 8 · 2018-08-19 06:20:38

313

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Set of primes $p$ which $x^4-x^3-2x^2-2x-1$ completely factors in finite field of order $p$

Published on 19 Aug 2018 - 6:20

score 366 · Answer 9 · 2018-08-28 10:12:30

366

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Is the $\mathbb{Z}$-grading of a Clifford algebra basis independent?

Published on 28 Aug 2018 - 10:12

score 205 · Answer 10 · 2018-08-28 20:07:09

205

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Quadratic Forms (positive definite matrix)

Published on 28 Aug 2018 - 20:07

score 169 · Answer 11 · 2018-09-01 18:46:35

169

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Integral zeros of indefinite quadratic form

Published on 01 Sep 2018 - 18:46

score 117 · Answer 12 · 2018-09-02 09:53:11

117

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$\mathbb{Z}$-Equivalent quadratic form in presence of isotropic vectors

Published on 02 Sep 2018 - 9:53

score 211 · Answer 13 · 2018-09-03 18:32:51

211

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Condition for being positive definite matrix

Published on 03 Sep 2018 - 18:32

score 359 · Answer 14 · 2018-09-05 09:36:13

359

Views

Expected value of Rayleigh quotient

Published on 05 Sep 2018 - 9:36

score 135 · Answer 15 · 2018-09-10 12:47:24

135

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Number of solutions of quadratic system of diophantine equations

Published on 10 Sep 2018 - 12:47

List Question

Discriminant (in the context of PDE classification): $b^2 - 4ac$ or $b^2 - ac$?

Show that $f(x) = x^TQx$ is convex using the inequality $f(y+\alpha(x-y))-\alpha f(x)-(1-a)f(y)\le 0$

Sylvester's criteria and Negative definite Matrices.

Guarantees of a Quadratic Form for Two Related Matrices

$L=\left\{v:q_1\left(v\right) \ge q_2\left(v\right)\right\}$ is a subspace of $V$.Show that $q_1 \ge q_2 \:or\: q_2 \ge q_1 \forall v\in V$

Solve $ \binom{a}{2} + \binom{b}{2} = \binom{c}{2} $ with $a,b,c \in \mathbb{Z}$

Surjectivity and Orthogonal Complements with Quadratic Forms

Set of primes $p$ which $x^4-x^3-2x^2-2x-1$ completely factors in finite field of order $p$

Is the $\mathbb{Z}$-grading of a Clifford algebra basis independent?

Quadratic Forms (positive definite matrix)

Integral zeros of indefinite quadratic form

$\mathbb{Z}$-Equivalent quadratic form in presence of isotropic vectors

Condition for being positive definite matrix

Expected value of Rayleigh quotient

Number of solutions of quadratic system of diophantine equations

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