Question

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

score 64 · Answer 1 · 2020-02-06 13:13:03

64

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

Published on 06 Feb 2020 - 13:13

score 58 · Answer 2 · 2020-02-09 07:54:50

58

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Connection between an algebraic invariant and a maximisation issue

Published on 09 Feb 2020 - 7:54

score 362 · Answer 3 · 2020-02-11 06:57:26

362

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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 11 Feb 2020 - 6:57

score 129 · Answer 4 · 2020-02-11 19:02:14

129

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

Published on 11 Feb 2020 - 19:02

score 337 · Answer 5 · 2020-02-15 10:32:12

337

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

Published on 15 Feb 2020 - 10:32

score 79 · Answer 6 · 2020-02-27 11:31:19

79

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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 27 Feb 2020 - 11:31

score 239 · Answer 7 · 2020-02-27 18:31:06

239

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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 27 Feb 2020 - 18:31

score 90 · Answer 8 · 2020-02-29 02:17:27

90

Views

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

Published on 29 Feb 2020 - 2:17

score 119 · Answer 9 · 2026-02-23 08:19:31

119

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Generalized Eigenvalue Problem - How to solve? Fisherfaces

Published on 23 Feb 2026 - 8:19

score 147 · Answer 10 · 2020-03-19 23:43:46

147

Views

Elliptic Curves and Discriminants

Published on 19 Mar 2020 - 23:43

score 53 · Answer 11 · 2020-03-20 09:57:03

53

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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 20 Mar 2020 - 9:57

score 248 · Answer 12 · 2020-03-20 18:24:28

248

Views

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

Published on 20 Mar 2020 - 18:24

score 191 · Answer 13 · 2020-03-21 14:12:45

191

Views

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

Published on 21 Mar 2020 - 14:12

score 307 · Answer 14 · 2020-04-02 17:01:31

307

Views

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

Published on 02 Apr 2020 - 17:01

score 46 · Answer 15 · 2020-04-10 02:57:46

46

Views

The discriminant of a specific type of polynomial

Published on 10 Apr 2020 - 2:57

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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