Question

Non zerodivisors in ideals of polynomial rings

score 54 · Answer 1 · 2026-04-12 07:30:25

54

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Non zerodivisors in ideals of polynomial rings

Published on 12 Apr 2026 - 7:30

score 69 · Answer 2 · 2026-04-12 16:29:44

69

Views

Solving a polynomial by grouping and factoring - why does this answer have $\pm3i$?

Published on 12 Apr 2026 - 16:29

score 46 · Answer 3 · 2026-04-11 10:54:38

46

Views

Is there a sum of "n+j" terms equivalent to n!

Published on 11 Apr 2026 - 10:54

score 89 · Answer 4 · 2026-04-17 04:50:22

89

Views

Grobner basis sufficient condition

Published on 17 Apr 2026 - 4:50

score 763 · Answer 5 · 2026-04-13 22:23:39

763

Views

Calculate a Primitive Polynomial LFSR

Published on 13 Apr 2026 - 22:23

score 31 · Answer 6 · 2026-04-13 01:12:22

31

Views

Is a function of admissible heuristics in A* search admissible?

Published on 13 Apr 2026 - 1:12

score 200 · Answer 7 · 2026-04-15 23:25:26

200

Views

Prove that $5x^2−2xy−8x+ 2y^2−2y+ 5 \ge 0$ for all $x, y\in\mathbb R$. When does equality occur?

Published on 15 Apr 2026 - 23:25

score 51 · Answer 8 · 2026-04-11 23:52:44

51

Views

Polynomial which fix set of integers with only 1 in base 10

Published on 11 Apr 2026 - 23:52

score 146 · Answer 9 · 2026-04-09 05:54:16

146

Views

How to compute gcd of two polynomials efficiently

Published on 09 Apr 2026 - 5:54

score 153 · Answer 10 · 2026-04-13 20:48:35

153

Views

How to solve this 4x4 equation system for a cubic spline?

Published on 13 Apr 2026 - 20:48

score 84 · Answer 11 · 2026-04-16 07:23:53

84

Views

Factoring $(x+a)(x+b)(x+c)+(b+c)(c+a)(a+b)$ and use the result to solve an equation

Published on 16 Apr 2026 - 7:23

score 38 · Answer 12 · 2026-04-16 00:35:07

38

Views

The polynomial $aX^2+bX+c$ of degree $2$ in a field $K$ with char$(K)\neq 2$ is irreducible if and only if $b^2-4ac$ is not a square in $K$.

Published on 16 Apr 2026 - 0:35

score 307 · Answer 13 · 2026-04-17 07:58:39

307

Views

Solve $\sqrt{1 + \sqrt{1-x^{2}}}\left(\sqrt{(1+x)^{3}} + \sqrt{(1-x)^{3}} \right) = 2 + \sqrt{1-x^{2}} $

Published on 17 Apr 2026 - 7:58

score 302 · Answer 14 · 2026-04-17 15:46:23

302

Views

Let $m,n\in \mathbb{Z}$ and $p(x)=x^3+mx+n$ be such that if $107\mid p(x)-p(y)\implies 107\mid x-y$. Prove that $107\mid m$.

Published on 17 Apr 2026 - 15:46

score 38 · Answer 15 · 2026-04-15 20:13:59

38

Views

Find basis to sub vector spaces

Published on 15 Apr 2026 - 20:13

List Question

Non zerodivisors in ideals of polynomial rings

Solving a polynomial by grouping and factoring - why does this answer have $\pm3i$?

Is there a sum of "n+j" terms equivalent to n!

Grobner basis sufficient condition

Calculate a Primitive Polynomial LFSR

Is a function of admissible heuristics in A* search admissible?

Prove that $5x^2−2xy−8x+ 2y^2−2y+ 5 \ge 0$ for all $x, y\in\mathbb R$. When does equality occur?

Polynomial which fix set of integers with only 1 in base 10

How to compute gcd of two polynomials efficiently

How to solve this 4x4 equation system for a cubic spline?

Factoring $(x+a)(x+b)(x+c)+(b+c)(c+a)(a+b)$ and use the result to solve an equation

The polynomial $aX^2+bX+c$ of degree $2$ in a field $K$ with char$(K)\neq 2$ is irreducible if and only if $b^2-4ac$ is not a square in $K$.

Solve $\sqrt{1 + \sqrt{1-x^{2}}}\left(\sqrt{(1+x)^{3}} + \sqrt{(1-x)^{3}} \right) = 2 + \sqrt{1-x^{2}} $

Let $m,n\in \mathbb{Z}$ and $p(x)=x^3+mx+n$ be such that if $107\mid p(x)-p(y)\implies 107\mid x-y$. Prove that $107\mid m$.

Find basis to sub vector spaces

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