Question

Geometric interpretation of discriminant of a number field (and reference suggestion)

score 246 · Answer 1 · 2021-06-11 15:31:34

246

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Geometric interpretation of discriminant of a number field (and reference suggestion)

Published on 11 Jun 2021 - 15:31

score 113 · Answer 2 · 2021-06-11 17:30:24

113

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Suppose $a^2-4b$ $\neq 0$. Let $\alpha, \beta$ be the (distinct) roots of the polynomial $x^2+ax+b$. Then there is a real number $c$ s.t.

Published on 11 Jun 2021 - 17:30

score 51 · Answer 3 · 2026-03-25 23:39:12

51

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Discriminant of q-analogs of positive integers

Published on 25 Mar 2026 - 23:39

score 197 · Answer 4 · 2021-06-26 03:56:07

197

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Finding the discriminant of a quadratic equation from the given information on the roots of a quadratic equation

Published on 26 Jun 2021 - 3:56

score 165 · Answer 5 · 2026-03-25 17:51:55

165

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Clairaut differential equations and elliptic discriminants

Published on 25 Mar 2026 - 17:51

score 186 · Answer 6 · 2021-07-04 06:56:41

186

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An inequality with $x,y,z \ge -1$ and $x+y+z=1$

Published on 04 Jul 2021 - 6:56

score 479 · Answer 7 · 2021-07-14 09:24:59

479

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$\mathbb{Q}(\alpha)$ extension of degree 3 is galois over $\mathbb{Q}$ if and only if discriminant of minimal polynomial of $\alpha$ is square.

Published on 14 Jul 2021 - 9:24

score 92 · Answer 8 · 2021-07-23 16:27:19

92

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$\displaystyle |g(x)| \leq |f(x)|$ for polynomials

Published on 23 Jul 2021 - 16:27

score 124 · Answer 9 · 2021-07-25 13:05:19

124

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Discriminant Problems

Published on 25 Jul 2021 - 13:05

score 40 · Answer 10 · 2021-08-09 07:27:25

40

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What is the discriminant of $\Phi_{2}(X)$ over $\Bbb Q$?

Published on 09 Aug 2021 - 7:27

score 203 · Answer 11 · 2021-08-09 11:31:26

203

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Unreal root of quadratic equation

Published on 09 Aug 2021 - 11:31

score 424 · Answer 12 · 2021-08-12 13:17:54

424

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Find the maximum of the value $F=x^3y+y^3z+z^3x$

Published on 12 Aug 2021 - 13:17

score 125 · Answer 13 · 2021-08-16 09:48:57

125

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Is there a situation such that the 'magnitude' of discriminant is important?

Published on 16 Aug 2021 - 9:48

score 347 · Answer 14 · 2021-08-26 01:10:53

347

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On the intuitive explanation for the discriminant property of conics

Published on 26 Aug 2021 - 1:10

score 924 · Answer 15 · 2021-08-26 05:18:34

924

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Range of values of k such that graph has no stationary point

Published on 26 Aug 2021 - 5:18

List Question

Geometric interpretation of discriminant of a number field (and reference suggestion)

Suppose $a^2-4b$ $\neq 0$. Let $\alpha, \beta$ be the (distinct) roots of the polynomial $x^2+ax+b$. Then there is a real number $c$ s.t.

Discriminant of q-analogs of positive integers

Finding the discriminant of a quadratic equation from the given information on the roots of a quadratic equation

Clairaut differential equations and elliptic discriminants

An inequality with $x,y,z \ge -1$ and $x+y+z=1$

$\mathbb{Q}(\alpha)$ extension of degree 3 is galois over $\mathbb{Q}$ if and only if discriminant of minimal polynomial of $\alpha$ is square.

$\displaystyle |g(x)| \leq |f(x)|$ for polynomials

Discriminant Problems

What is the discriminant of $\Phi_{2}(X)$ over $\Bbb Q$?

Unreal root of quadratic equation

Find the maximum of the value $F=x^3y+y^3z+z^3x$

Is there a situation such that the 'magnitude' of discriminant is important?

On the intuitive explanation for the discriminant property of conics

Range of values of k such that graph has no stationary point

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