List questions from symmetric-polynomials

Published on 07 Oct 2020 - 13:41

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Find the value of $\frac{1}{(pq)^2-10r^2+300}+\frac{1}{(qr)^2-10p^2+300}+\frac{1}{(pr)^2-10q^2+300}$

Published on 11 Oct 2020 - 11:25

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The square root of the discriminant function

Published on 12 Oct 2020 - 15:12

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For $n =3,$ write $\Delta^2$ as an element of $A = \mathbb{Q}[e_{1}, e_{2}, e_{3}.]$(manually)

Published on 12 Oct 2020 - 21:34

190

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Let $x,y,z$ are the lengths of sides of a triangle such that $x+y+z=2$. Find the range of $xy+yz+xz-xyz$ .

Published on 25 Mar 2026 - 19:11

111

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Generating representations of U(n) using Schur functions.

Published on 26 Mar 2026 - 13:49

87

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If $b^2+c^2+bc=3$ then $b+c\leq 2$

Published on 23 Oct 2020 - 8:24

117

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Prove $3\left(9-5\sqrt{3}\right) \sum \frac{1}{a} \geqslant \sum a^2+\frac32\cdot\frac{\left[(\sqrt3-2)(ab+bc+ca)+abc\right]^2}{abc}$

Published on 26 Mar 2026 - 19:20

84

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Find maximize of $P=\frac{x\sqrt{yz}}{\sqrt{x^2+1}\sqrt[4]{\left(y^2+4\right)\left(z^2+9\right)}}$

Published on 26 Mar 2026 - 19:20

242

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Algebricaic independence of elementary symmetric polynomials

Published on 29 Oct 2020 - 8:55

80

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Little Laurent Polynomial Identity

Published on 01 Nov 2020 - 9:20

1.4k

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$(ab+bc+ca)^3=abc(a+b+c)^3$, prove that $a,b,c$ are in $G.P.$

Published on 27 Mar 2026 - 16:25

101

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How many terms are there in a cyclic summation?

Published on 04 Nov 2020 - 21:06

51

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Higher Algebra. What topic is this and where I can read about it?

Published on 11 Nov 2020 - 4:26

228

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Integral of the Vandermonde determinant.

Published on 29 Mar 2026 - 9:10

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Compute elementary symmetric functions via MATLAB

Find the value of $\frac{1}{(pq)^2-10r^2+300}+\frac{1}{(qr)^2-10p^2+300}+\frac{1}{(pr)^2-10q^2+300}$

The square root of the discriminant function

For $n =3,$ write $\Delta^2$ as an element of $A = \mathbb{Q}[e_{1}, e_{2}, e_{3}.]$(manually)

Let $x,y,z$ are the lengths of sides of a triangle such that $x+y+z=2$. Find the range of $xy+yz+xz-xyz$ .

Generating representations of U(n) using Schur functions.

If $b^2+c^2+bc=3$ then $b+c\leq 2$

Prove $3\left(9-5\sqrt{3}\right) \sum \frac{1}{a} \geqslant \sum a^2+\frac32\cdot\frac{\left[(\sqrt3-2)(ab+bc+ca)+abc\right]^2}{abc}$

Find maximize of $P=\frac{x\sqrt{yz}}{\sqrt{x^2+1}\sqrt[4]{\left(y^2+4\right)\left(z^2+9\right)}}$

Algebricaic independence of elementary symmetric polynomials

Little Laurent Polynomial Identity

$(ab+bc+ca)^3=abc(a+b+c)^3$, prove that $a,b,c$ are in $G.P.$

How many terms are there in a cyclic summation?

Higher Algebra. What topic is this and where I can read about it?

Integral of the Vandermonde determinant.

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