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About: Radical polynomial     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPolynomials, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:Abstraction100002137yago:Function113783816yago:MathematicalRelation113783581yago:Polynomial105861855yago:Relation100031921yago:WikicatPolynomials New Facet based on Instances of this Class

In mathematics, in the realm of abstract algebra, a radial polynomial is a multivariate polynomial over a field that can be expressed as a polynomial in the sum of squares of the variables. That is, if is a polynomial ring, the ring of radial polynomials is the subring generated by the polynomial Radial polynomials are characterized as precisely those polynomials that are invariant under the action of the orthogonal group. The ring of radial polynomials is a graded subalgebra of the ring of all polynomials.