Math 2.0

Combinatorics Concept

Elementary symmetric polynomial

Summary

The elementary symmetric polynomials in nn variables are the sums of all products of kk distinct variables, for k=0,…,nk = 0, \dots, n. They generate all symmetric polynomials. The definition of the elementary symmetric polynomials gives the formula.

Further reading

  1. Web https://en.wikipedia.org/wiki/Elementary_symmetric_polynomial, lead section
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MSC05E05
SpecializesSymmetric polynomial
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