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Symmetric functions and roots of polynomials

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#polynomials #symmetric-functions
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A Combinatorial identity using permutations

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#combinatorics #definite-integrals #symmetric-functions
162
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Solve the non-linear system of equations

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#systems-of-equations #rational-functions #symmetric-functions
296
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A "nice" orthogonal basis for translation invariant symmetric polynomials

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#orthogonal-polynomials #symmetric-polynomials #quantum-groups #symmetric-functions
107
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Good Reason for Partitions Indexing Symmetric Functions?

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#combinatorics #symmetric-polynomials #symmetric-functions
248
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A good equation system

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#systems-of-equations #radicals #symmetric-functions
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How to tell if a function has rotational symmetry?

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#functions #symmetric-functions
196
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finding the shortest distance of a hermitian matrix to a set of hermitian matricies with specific eigenvalues 2-norm

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#inequality #optimization #eigenvalues-eigenvectors #orthogonality #symmetric-functions
459
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A symmetric system of nonlinear equations - how to solve?

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#systems-of-equations #exponentiation #symmetric-functions
174
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System of equations problem

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#systems-of-equations #radicals #symmetric-functions
138
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Symmetries of a function imply certain properties of its Fourier coefficients

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#integration #fourier-analysis #symmetric-functions
620
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A norm invariant under permutations but not under signed permutations

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#permutations #normed-spaces #symmetry #symmetric-functions
46
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A formula for the symmetric function $\sum_{i\neq j} \frac{z_i z_j}{(z_i-z_j)^2}$

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#symmetric-functions
214
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Mathematics Olympiad Question $a+b+c=7$, ...

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#algebra-precalculus #symmetric-functions
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Solve the integral equation with symmetric kernel

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#ordinary-differential-equations #integral-equations #symmetric-functions

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