Question

How to compute the value of the discriminant of $\mathcal{O}_K$

score 65 · Answer 1 · 2026-03-25 06:06:37

65

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How to compute the value of the discriminant of $\mathcal{O}_K$

Published on 25 Mar 2026 - 6:06

score 59 · Answer 2 · 2026-03-25 06:08:23

59

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Connection between an algebraic invariant and a maximisation issue

Published on 25 Mar 2026 - 6:08

score 363 · Answer 3 · 2026-03-25 06:04:21

363

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What is the condition that a cubic equation $x^3+ax^2+bx+c=0$ has exactly three positive real root?

Published on 25 Mar 2026 - 6:04

score 130 · Answer 4 · 2026-03-25 07:45:40

130

Views

Inequality with x,y,z fractions $\frac{x}{y}+\frac{y}{z+x}+\frac{z}{x}\ge 2$

Published on 25 Mar 2026 - 7:45

score 338 · Answer 5 · 2026-03-25 06:06:59

338

Views

For the discriminant of a polynomial, how to prove $\Delta(f \bmod p) = \Delta(f) \bmod p$?

Published on 25 Mar 2026 - 6:06

score 81 · Answer 6 · 2026-05-10 15:52:35

81

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Why is $a_n(x) \neq 0$ for $a_n(x) = c_1 x a_{n-1}(x) + c_2 x a_{n-2}(x)$ if the discriminant of the characteristic polynomial $\Delta_{\lambda} > 0$?

Published on 10 May 2026 - 15:52

score 240 · Answer 7 · 2026-03-25 07:46:27

240

Views

Given that $x_1, x_2, x_3$ are the roots of the polynomial $x^3-2x^2+3x+5=0$ find $(x_2-x_1)^2(x_3-x_1)^2(x_3-x_2)^2$.

Published on 25 Mar 2026 - 7:46

score 91 · Answer 8 · 2026-03-25 07:48:21

91

Views

Relation of quadratic forms with discriminant $-p$ (prime) and $-4p$

Published on 25 Mar 2026 - 7:48

score 122 · Answer 9 · 2026-04-17 11:12:58

122

Views

Generalized Eigenvalue Problem - How to solve? Fisherfaces

Published on 17 Apr 2026 - 11:12

score 148 · Answer 10 · 2026-03-25 06:02:31

148

Views

Elliptic Curves and Discriminants

Published on 25 Mar 2026 - 6:02

score 54 · Answer 11 · 2026-03-25 06:06:50

54

Views

Find κ and λ $\in R$ for which $\frac {x^2+κx+λ}{x^2+1} \leq 2$ for all $x \in R$.

Published on 25 Mar 2026 - 6:06

score 249 · Answer 12 · 2026-03-25 07:48:36

249

Views

Computing discriminant of $x^4 + px + 1$, need help to find a mistake

Published on 25 Mar 2026 - 7:48

score 192 · Answer 13 · 2026-03-25 07:42:56

192

Views

Solve $\tan^2(x) - (1+\sqrt3)\tan(x) + \sqrt3 < 0$

Published on 25 Mar 2026 - 7:42

score 308 · Answer 14 · 2026-03-25 06:06:27

308

Views

Does this $(x+y)^2\ge 4xy$ hold for all real $x$ and $y$ - not only for non-negative?

Published on 25 Mar 2026 - 6:06

score 47 · Answer 15 · 2026-03-25 06:05:56

47

Views

The discriminant of a specific type of polynomial

Published on 25 Mar 2026 - 6:05

List Question

How to compute the value of the discriminant of $\mathcal{O}_K$

Connection between an algebraic invariant and a maximisation issue

What is the condition that a cubic equation $x^3+ax^2+bx+c=0$ has exactly three positive real root?

Inequality with x,y,z fractions $\frac{x}{y}+\frac{y}{z+x}+\frac{z}{x}\ge 2$

For the discriminant of a polynomial, how to prove $\Delta(f \bmod p) = \Delta(f) \bmod p$?

Why is $a_n(x) \neq 0$ for $a_n(x) = c_1 x a_{n-1}(x) + c_2 x a_{n-2}(x)$ if the discriminant of the characteristic polynomial $\Delta_{\lambda} > 0$?

Given that $x_1, x_2, x_3$ are the roots of the polynomial $x^3-2x^2+3x+5=0$ find $(x_2-x_1)^2(x_3-x_1)^2(x_3-x_2)^2$.

Relation of quadratic forms with discriminant $-p$ (prime) and $-4p$

Generalized Eigenvalue Problem - How to solve? Fisherfaces

Elliptic Curves and Discriminants

Find κ and λ $\in R$ for which $\frac {x^2+κx+λ}{x^2+1} \leq 2$ for all $x \in R$.

Computing discriminant of $x^4 + px + 1$, need help to find a mistake

Solve $\tan^2(x) - (1+\sqrt3)\tan(x) + \sqrt3 < 0$

Does this $(x+y)^2\ge 4xy$ hold for all real $x$ and $y$ - not only for non-negative?

The discriminant of a specific type of polynomial

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