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15
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Is value of $\alpha$ defined?

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#algebra-precalculus #quadratics #symmetric-polynomials
60
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Does it follow that a+b+c=x+y+z=m+n+p

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#systems-of-equations #symmetric-polynomials
203
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Given three postive numbers $a,b,c$ so that $a+b+c=3$. Prove that $\sum\frac{1}{a}\geqq (\frac{1}{2}+\frac{5\sqrt{3}}{18})(\!a^{2}+b^{2}+c^{2}\!)$ .

Published on
#inequality #substitution #symmetric-polynomials #constants #uvw
261
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Solving in terms of z , three variable two equation system

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#systems-of-equations #quadratics #symmetric-polynomials
530
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Elementary symmetric polynomials proof

Published on
#polynomials #symmetric-polynomials #invariant-theory
95
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maximum value of $\sum (a-b)^2$

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#inequality #optimization #maxima-minima #symmetric-polynomials
95
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Why does the numerator in Weyl-dimension formula asymptotically look like a Schur polynomial?

Published on
#representation-theory #algebraic-groups #symmetric-polynomials
55
Views

Generalized Frobenius Formula

Published on
#finite-groups #symmetric-groups #symmetric-polynomials
114
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Solve the following system of equations - (4).

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#systems-of-equations #cubics #symmetric-polynomials
120
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Solving a linear system of reciprocals.

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#systems-of-equations #cubics #rational-functions #symmetric-polynomials
185
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Symmetric Rational Functions vs Symmetric Polynomials

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#galois-theory #symmetric-polynomials
52
Views

prove that $\frac{d (\ln F(t))}{dt}=\sum_{k>0}{(-1)^{k+1}(x_1^k+...+x_n^k)}t^{k-1}$

Published on
#real-analysis #abstract-algebra #polynomials #symmetric-polynomials
103
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show this $\sum_{cyc}\frac{x}{x^2-x+1}\le\frac{8}{3}$

Published on
#inequality #substitution #symmetric-polynomials #cauchy-schwarz-inequality #uvw
218
Views

Does exponential of graph Laplacian preserve symmetry of polynomial?

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#graph-theory #symmetry #symmetric-polynomials #graph-laplacian
36
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Find all the values of parameter a, when system has 2 solutions.

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#polynomials #systems-of-equations #symmetric-polynomials

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