Question

Finding range of the expression $\sum_{cyc}\frac{|x+y|}{|x|+|y|}$ where $x,y,z\in\mathbb{R}-\{0\}$

score 33 · Answer 1 · 2020-12-05 17:47:55

33

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Finding range of the expression $\sum_{cyc}\frac{|x+y|}{|x|+|y|}$ where $x,y,z\in\mathbb{R}-\{0\}$

Published on 05 Dec 2020 - 17:47

score 65 · Answer 2 · 2020-12-06 16:19:52

65

Views

A problem in polynomials to show there are polynomials $f_{1}(x), \cdots f_{k}(x)$ such that $ P(x) = \sum_{j = 1}^{k} (f_{j} (x))^{2}$

Published on 06 Dec 2020 - 16:19

score 118 · Answer 3 · 2026-03-27 04:57:14

118

Views

efficient way of calculating the $n-1$ polynomial coefficients

Published on 27 Mar 2026 - 4:57

score 52 · Answer 4 · 2020-12-17 12:11:05

52

Views

Invariant Polynomial in the matrices over $\mathbf{R}$

Published on 17 Dec 2020 - 12:11

score 70 · Answer 5 · 2020-12-22 01:14:58

70

Views

Find $\sum_{k=1}^{1010}(a_k^k+2+\frac{1}{a_k^k})^{2020}$

Published on 22 Dec 2020 - 1:14

score 141 · Answer 6 · 2020-12-24 07:16:08

141

Views

If $a^2 + b^2 +c^2 =4$ and $a^3 + b^3 + c^3 = 8$ then find $a^4+b^4+c^4$

Published on 24 Dec 2020 - 7:16

score 144 · Answer 7 · 2021-01-01 01:36:46

144

Views

Closed form coefficients of Elementary Symmetric Polynomial specialized to the natural numbers

Published on 01 Jan 2021 - 1:36

score 487 · Answer 8 · 2026-03-26 19:15:44

487

Views

On the Abstract Concreteness Method (bka $ABC-$Method).

Published on 26 Mar 2026 - 19:15

score 36 · Answer 9 · 2021-01-06 20:40:33

36

Views

Is a system of elementary system of complex symmetric polynomials solvable in polynomial time?

Published on 06 Jan 2021 - 20:40

score 1k · Answer 10 · 2026-03-27 00:04:28

1k

Views

How to express symmetric polynomials in terms of elementary symmetric polynomials?

Published on 27 Mar 2026 - 0:04

score 169 · Answer 11 · 2026-03-26 02:55:10

169

Views

Help with an expression of the Schur polynomial

Published on 26 Mar 2026 - 2:55

score 336 · Answer 12 · 2021-02-11 12:21:50

336

Views

Existence of a factorisation proof of the AM-GM inequality

Published on 11 Feb 2021 - 12:21

score 193 · Answer 13 · 2021-02-17 03:21:51

193

Views

Prove that $\sqrt{a+b}+\sqrt{b+c}+\sqrt{c+a}\leq 3+\sqrt{3}$

Published on 17 Feb 2021 - 3:21

score 175 · Answer 14 · 2026-03-26 19:18:52

175

Views

Prove that $\sqrt{a^2-a+1}+\sqrt{b^2-b+1}+\sqrt{c^2-c+1}\ge a+b+c$

Published on 26 Mar 2026 - 19:18

score 40 · Answer 15 · 2021-03-02 00:48:37

40

Views

An identity for the sum of squared complete homogeneous symmetric polynomials in terms of power sums

Published on 02 Mar 2021 - 0:48

List Question

Finding range of the expression $\sum_{cyc}\frac{|x+y|}{|x|+|y|}$ where $x,y,z\in\mathbb{R}-\{0\}$

A problem in polynomials to show there are polynomials $f_{1}(x), \cdots f_{k}(x)$ such that $ P(x) = \sum_{j = 1}^{k} (f_{j} (x))^{2}$

efficient way of calculating the $n-1$ polynomial coefficients

Invariant Polynomial in the matrices over $\mathbf{R}$

Find $\sum_{k=1}^{1010}(a_k^k+2+\frac{1}{a_k^k})^{2020}$

If $a^2 + b^2 +c^2 =4$ and $a^3 + b^3 + c^3 = 8$ then find $a^4+b^4+c^4$

Closed form coefficients of Elementary Symmetric Polynomial specialized to the natural numbers

On the Abstract Concreteness Method (bka $ABC-$Method).

Is a system of elementary system of complex symmetric polynomials solvable in polynomial time?

How to express symmetric polynomials in terms of elementary symmetric polynomials?

Help with an expression of the Schur polynomial

Existence of a factorisation proof of the AM-GM inequality

Prove that $\sqrt{a+b}+\sqrt{b+c}+\sqrt{c+a}\leq 3+\sqrt{3}$

Prove that $\sqrt{a^2-a+1}+\sqrt{b^2-b+1}+\sqrt{c^2-c+1}\ge a+b+c$

An identity for the sum of squared complete homogeneous symmetric polynomials in terms of power sums

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