New posts in symmetric-functions

Proving an identity for complete homogenous symmetric polynomials

combinatorics symmetric-polynomials symmetric-functions algebraic-combinatorics

Convert a radially symmetric PDE into ODE

ordinary-differential-equations partial-differential-equations symmetric-functions

Proving elementary, $\int_0^{2\pi}\log \frac{(1+\sin x)^{1+\cos x}}{1+\cos x} \mathrm{d}x=0$

integration definite-integrals improper-integrals elementary-functions symmetric-functions

If $abc=1$ and $a,b,c$ are positive real numbers, prove that ${1 \over a+b+1} + {1 \over b+c+1} + {1 \over c+a+1} \le 1$.

inequality contest-math rational-functions symmetric-functions

Evaluating $\sum_{cyc} \frac{a^4}{(a-b)(a-c)}$, where $a=-\sqrt3+\sqrt5+\sqrt7$ , $b=\sqrt3-\sqrt5+\sqrt7$, $c=\sqrt3+\sqrt5-\sqrt7$

algebra-precalculus summation contest-math symmetric-polynomials symmetric-functions

Minima of symmetric functions given a constraint

optimization lagrange-multiplier symmetry symmetric-functions

Given that $xyz=1$, prove that $\frac{x}{1+x^4}+\frac{y}{1+y^4}+\frac{z}{1+z^4}\le \frac{3}{2}$

multivariable-calculus inequality contest-math symmetric-functions tangent-line-method

Scalar Product for Vector Space of Monomial Symmetric Functions

polynomials multivariable-calculus vector-spaces inner-products symmetric-functions

Find out functions of the form $g(x,y) = \int f(x,t) f(y,t) \lambda(dt)$

real-analysis probability functional-analysis symmetric-functions

What does Heron's formula naturally deform?

combinatorics euclidean-geometry symmetric-groups symmetric-polynomials symmetric-functions

What are the analogues of Littlewood-Richardson coefficients for monomial symmetric polynomials?

combinatorics symmetric-polynomials symmetric-functions

Is there a General Formula for the Transition Matrix from Products of Elementary Symmetric Polynomials to Monomial Symmetric Functions?

combinatorics algebraic-geometry polynomials symmetric-functions

Symmetric functions written in terms of the elementary symmetric polynomials.

combinatorics galois-theory symmetric-polynomials elementary-functions symmetric-functions