List questions from symmetric-functions

Published on 25 Mar 2026 - 14:34

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prove a polynomial identity..

Published on 25 Mar 2026 - 23:24

31

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Is the following function symmetric?

Published on 11 Jan 2016 - 3:11

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How to decide if $Q(\underline u,\underline v) $ on $\mathbb R^2$ is inner product or not?

Published on 04 Feb 2016 - 17:55

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Maximizing symmetric functions on the unit cube

Published on 12 Feb 2016 - 19:43

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How to predict symmerty of parametric curve

Published on 28 Feb 2026 - 6:01

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Certain symmetrized product of cosines - can it be transformed into more manageable form

Published on 22 Mar 2026 - 10:11

662

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Factorize $(x^2+y^2+z^2)(x+y+z)(x+y-z)(y+z-x)(z+x-y)-8x^2y^2z^2$

Published on 01 Mar 2016 - 19:16

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nth power symmetric polynomial in terms of Schurs polynomial

Published on 24 Mar 2026 - 15:08

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Is $\max_{\|x\|_p=\|y\|_p=1} |\langle x, Ay\rangle|$ equivalent to $\max_{\|x\|_p=|} |\langle x, Ax\rangle|$ for symmetric $A$ & $p\geq 2$?

Published on 23 Feb 2026 - 9:50

106

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Calculate the value of the following integral: $ \int^{\frac{\pi}{2}}_0 \frac{\sin^n(x)}{\sin^n(x) + \cos^n(x)} $

Published on 14 Apr 2016 - 23:01

46

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What can be said about $f$ in $\frac{f(x,y)}{f(y,x)}=\frac{g(x,y)}{g(y,x)}$ if $g$ is known?

Published on 04 May 2016 - 11:40

13

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Proving that largest root (obtained via P.C.A.) is a symmetric function

Published on 26 May 2016 - 3:42

1k

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How could I find an orthogonal basis of this bilinear form f?

Published on 01 Jun 2016 - 18:39

119

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Symmetrized monomials under Weyl group?

Published on 04 Jun 2016 - 3:31

List Question

A symmetric function

prove a polynomial identity..

Is the following function symmetric?

How to decide if $Q(\underline u,\underline v) $ on $\mathbb R^2$ is inner product or not?

Maximizing symmetric functions on the unit cube

How to predict symmerty of parametric curve

Certain symmetrized product of cosines - can it be transformed into more manageable form

Factorize $(x^2+y^2+z^2)(x+y+z)(x+y-z)(y+z-x)(z+x-y)-8x^2y^2z^2$

nth power symmetric polynomial in terms of Schurs polynomial

Is $\max_{\|x\|_p=\|y\|_p=1} |\langle x, Ay\rangle|$ equivalent to $\max_{\|x\|_p=|} |\langle x, Ax\rangle|$ for symmetric $A$ & $p\geq 2$?

Calculate the value of the following integral: $ \int^{\frac{\pi}{2}}_0 \frac{\sin^n(x)}{\sin^n(x) + \cos^n(x)} $

What can be said about $f$ in $\frac{f(x,y)}{f(y,x)}=\frac{g(x,y)}{g(y,x)}$ if $g$ is known?

Proving that largest root (obtained via P.C.A.) is a symmetric function

How could I find an orthogonal basis of this bilinear form f?

Symmetrized monomials under Weyl group?

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