Question

x^2 times convex nonnegative polynomial is convex?

score 45 · Answer 1 · 2026-03-31 17:48:13

45

Views

x^2 times convex nonnegative polynomial is convex?

Published on 31 Mar 2026 - 17:48

score 46 · Answer 2 · 2026-03-25 17:52:48

46

Views

Existence of polynomials in $\mathbb{Q}[x]$ and $\mathbb{Z}[x]$ with same splitting fields.

Published on 25 Mar 2026 - 17:52

score 58 · Answer 3 · 2026-03-29 05:10:35

58

Views

Probability of algebraic solutions for polynomials with integer coefficients

Published on 29 Mar 2026 - 5:10

score 178 · Answer 4 · 2026-03-25 17:22:26

178

Views

Constructing a polynomial given the Galois Group of it's splitting field

Published on 25 Mar 2026 - 17:22

score 293 · Answer 5 · 2026-03-25 11:53:13

293

Views

Existence of fixed simple closed curve by polynomials

Published on 25 Mar 2026 - 11:53

score 153 · Answer 6 · 2026-03-26 14:34:26

153

Views

How to approximate the answer of a polynomial of degree 4?

Published on 26 Mar 2026 - 14:34

score 53 · Answer 7 · 2018-11-20 03:52:52

53

Views

Prove $P_n(x) = \sum_{k=0}^{n}b_k(x-b)^k $ satisfies $\lim\limits_{x\to b}\dfrac{f(x)-P_n(x)}{(x-b)^n} = 0 $ iff $P_n = T_n$

Published on 20 Nov 2018 - 3:52

score 111 · Answer 8 · 2026-03-25 11:10:30

111

Views

Is there any example demonstrating nonlinearity of best polynomial approximation operator?

Published on 25 Mar 2026 - 11:10

score 56 · Answer 9 · 2018-11-20 08:41:22

56

Views

Is there a relation of roots for scaled coefficients of real monic polynomial?

Published on 20 Nov 2018 - 8:41

score 57 · Answer 10 · 2026-03-25 17:31:31

57

Views

Calculation of a interpolating polynomial

Published on 25 Mar 2026 - 17:31

score 976 · Answer 11 · 2026-04-02 22:37:48

976

Views

Finding elements of $\mathbb{Z}_3[x] /\langle x^2+2\rangle$ and writing the multiplication table

Published on 02 Apr 2026 - 22:37

score 116 · Answer 12 · 2026-03-26 04:35:01

116

Views

If $\deg\left(f\right) = \min\left(\left\{d \in \mathbb{N}^\times;\; f\vert X^{q^d} - X\right\}\right)\,$, then $f$ is irreducible.

Published on 26 Mar 2026 - 4:35

score 951 · Answer 13 · 2026-03-26 02:45:50

951

Views

Geometry of the set of coefficients such that monic polynomials have roots within unit disk

Published on 26 Mar 2026 - 2:45

score 94 · Answer 14 · 2026-03-25 12:15:04

94

Views

Complex root of equation 1

Published on 25 Mar 2026 - 12:15

score 1.3k · Answer 15 · 2026-03-26 06:21:47

1.3k

Views

How to prove that $x^5-5$ is irreducible over $\mathbb Q(\sqrt 2, \sqrt[3] 3) $

Published on 26 Mar 2026 - 6:21

List Question

x^2 times convex nonnegative polynomial is convex?

Existence of polynomials in $\mathbb{Q}[x]$ and $\mathbb{Z}[x]$ with same splitting fields.

Probability of algebraic solutions for polynomials with integer coefficients

Constructing a polynomial given the Galois Group of it's splitting field

Existence of fixed simple closed curve by polynomials

How to approximate the answer of a polynomial of degree 4?

Prove $P_n(x) = \sum_{k=0}^{n}b_k(x-b)^k $ satisfies $\lim\limits_{x\to b}\dfrac{f(x)-P_n(x)}{(x-b)^n} = 0 $ iff $P_n = T_n$

Is there any example demonstrating nonlinearity of best polynomial approximation operator?

Is there a relation of roots for scaled coefficients of real monic polynomial?

Calculation of a interpolating polynomial

Finding elements of $\mathbb{Z}_3[x] /\langle x^2+2\rangle$ and writing the multiplication table

If $\deg\left(f\right) = \min\left(\left\{d \in \mathbb{N}^\times;\; f\vert X^{q^d} - X\right\}\right)\,$, then $f$ is irreducible.

Geometry of the set of coefficients such that monic polynomials have roots within unit disk

Complex root of equation 1

How to prove that $x^5-5$ is irreducible over $\mathbb Q(\sqrt 2, \sqrt[3] 3) $

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