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15
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Dospinescu's Inequality

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#inequality #exponential-function #products #symmetric-polynomials #holder-inequality
50
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Expressing the sum of squares of the roots of a quartic polynomial as a polynomial in its coefficients.

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#abstract-algebra #complex-numbers #galois-theory #symmetric-polynomials #quartics
78
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System of three equations with lots of symmetry and 6 unexpected (?) solutions.

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#systems-of-equations #symmetric-polynomials #cubics
121
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Representation of eigenvector product using matrix elements

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#linear-algebra #ordinary-differential-equations #derivatives #polynomials #symmetric-polynomials
835
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How to solve this set of symmetric polynomial expressions

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#systems-of-equations #symmetric-polynomials
476
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Symmetry planes in spherical harmonic basis

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#symmetry #orthogonal-polynomials #symmetric-polynomials #spherical-harmonics
67
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Arnold's combinatorial description of entropy.

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#asymptotics #entropy #symmetric-polynomials
177
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Homework: Sum of the cubed roots of polynomial

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#abstract-algebra #polynomials #symmetric-polynomials
66
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How to solve system: x_1+x_2+...+x_n=a

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#systems-of-equations #symmetric-polynomials
239
Views

Factoring the expression $(\sqrt{x^2} -a)^2 + M = 0$

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#roots #factoring #symmetric-polynomials
71
Views

An Elementary Solution to a Polynomial Problem?

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#polynomials #contest-math #symmetric-polynomials
711
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Let $a$, $b$, and $c$ be positive real numbers with $a<b<c$ such that $a+b+c=12$, $a^2+b^2+c^2=50$, and $a^3+b^3+c^3=216$. Find $a+2b+3c$

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#algebra-precalculus #polynomials #systems-of-equations #symmetric-polynomials
556
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Geometry of Elementary Symmetric Polynomials

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#algebraic-geometry #symmetric-polynomials
162
Views

Solving Symmetrical Equations Algebraically

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#algebra-precalculus #systems-of-equations #nonlinear-system #symmetric-polynomials
174
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Number of solutions for system of elementary symmetric functions?

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#systems-of-equations #symmetric-polynomials

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