Question

How does the DISCRIMINANT really work?

score 176 · Answer 1 · 2021-01-05 11:43:47

176

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How does the DISCRIMINANT really work?

Published on 05 Jan 2021 - 11:43

score 5.5k · Answer 2 · 2021-01-07 04:08:47

5.5k

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Discriminant of multivariable function

Published on 07 Jan 2021 - 4:08

score 30 · Answer 3 · 2021-01-21 19:31:46

30

Views

Controlling the discriminant size of a polynomial using roots

Published on 21 Jan 2021 - 19:31

score 323 · Answer 4 · 2021-01-26 17:23:40

323

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Is there something similar to a discriminant for algebraic curves of the form $y^2 = f(x)$ (similar to the discriminant of elliptic curves)?

Published on 26 Jan 2021 - 17:23

score 32 · Answer 5 · 2021-02-09 09:38:27

32

Views

Is there a notion of discriminant in general systems of nonlinear algebraic equations?

Published on 09 Feb 2021 - 9:38

score 120 · Answer 6 · 2021-02-14 15:13:30

120

Views

Upper bound for discriminant of Galois closure

Published on 14 Feb 2021 - 15:13

score 243 · Answer 7 · 2021-02-20 01:12:41

243

Views

In Fisher’s discriminant for multiple classes, How do you manage when $(Sw)$ is singular matrix (so you cant get $(Sw)^{-1}$)?

Published on 20 Feb 2021 - 1:12

score 67 · Answer 8 · 2021-02-20 15:26:40

67

Views

Why is the discriminant of a quadratic what it is? I of course want to apply this to an nth degree polynomial.

Published on 20 Feb 2021 - 15:26

score 406 · Answer 9 · 2026-03-25 20:35:09

406

Views

A travelled inequality found by discriminant

Published on 25 Mar 2026 - 20:35

score 121 · Answer 10 · 2021-02-23 02:59:12

121

Views

First-order recursion problem with a special cubic equation: by Ji_Chen

Published on 23 Feb 2021 - 2:59

score 177 · Answer 11 · 2021-02-26 04:15:58

177

Views

To need a way of thinking about Ji_Chen's nice result $(a- c)^{2}+ (b- d)^{2}\geq\frac{7}{9}ab- \frac{7}{20}(c^{2}+ 4d^{2})$

Published on 26 Feb 2021 - 4:15

score 109 · Answer 12 · 2021-03-02 16:07:53

109

Views

If $L/K$ is an extension of number fields, show that the integer ${\rm disc}(K)$ divides ${\rm disc}(L)$.

Published on 02 Mar 2021 - 16:07

score 416 · Answer 13 · 2026-02-23 20:42:03

416

Views

The inverse type of Bernhard Leeb's solution for IMO‐1983–inequality

Published on 23 Feb 2026 - 20:42

score 409 · Answer 14 · 2026-02-23 20:42:03

409

Views

A good combination of an Olympiad inequality and its solution

Published on 23 Feb 2026 - 20:42

score 157 · Answer 15 · 2021-03-09 00:31:30

157

Views

Silverman exercise 3.1

Published on 09 Mar 2021 - 0:31

List Question

How does the DISCRIMINANT really work?

Discriminant of multivariable function

Controlling the discriminant size of a polynomial using roots

Is there something similar to a discriminant for algebraic curves of the form $y^2 = f(x)$ (similar to the discriminant of elliptic curves)?

Is there a notion of discriminant in general systems of nonlinear algebraic equations?

Upper bound for discriminant of Galois closure

In Fisher’s discriminant for multiple classes, How do you manage when $(Sw)$ is singular matrix (so you cant get $(Sw)^{-1}$)?

Why is the discriminant of a quadratic what it is? I of course want to apply this to an nth degree polynomial.

A travelled inequality found by discriminant

First-order recursion problem with a special cubic equation: by Ji_Chen

To need a way of thinking about Ji_Chen's nice result $(a- c)^{2}+ (b- d)^{2}\geq\frac{7}{9}ab- \frac{7}{20}(c^{2}+ 4d^{2})$

If $L/K$ is an extension of number fields, show that the integer ${\rm disc}(K)$ divides ${\rm disc}(L)$.

The inverse type of Bernhard Leeb's solution for IMO‐1983–inequality

A good combination of an Olympiad inequality and its solution

Silverman exercise 3.1

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