Elementary Symmetric Polynomial

Elementary Symmetric Polynomial

In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial P can be expressed as a polynomial in elementary symmetric polynomials: P can be given by an expression involving only additions and multiplication of constants and elementary symmetric polynomials. There is one elementary symmetric polynomial of degree d in n variables for any dn, and it is formed by adding together all distinct products of d distinct variables.

Read more about Elementary Symmetric Polynomial:  Definition, Examples, Properties, The Fundamental Theorem of Symmetric Polynomials

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