Symmetric function: Difference between revisions

Revision as of 19:40, 14 December 2014

Revision as of 17:14, 28 January 2015

Line 1:

{{About|general properties of symmetric functions|the ring of symmetric functions in algebraic combinatorics|ring of symmetric functions}}

{{technical|date=March 2013}}

In [[mathematics]], a '''symmetric function of ''n'' variables''' is one whose value at any ''n''-[[tuple]] of [[argument of a function|arguments]] is the same as its value at any [[permutation]] of that ''n''-tuple. While this notion can apply to any type of function whose ''n'' arguments live inhave the same ___domain set, it is most often used for [[polynomial function]]s, in which case these are the functions given by [[symmetric polynomials]]. There is very little systematic theory of symmetric non-polynomial functions of ''n'' variables, so this sense is little-used, except as a general definition.

== Symmetrization ==