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- Radical_polynomial abstract "In mathematics, in the realm of abstract algebra, a radical 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 radical polynomials is the subring generated by the polynomial Radical polynomials are characterized as precisely those polynomials that are invariant under the action of the orthogonal group.The ring of radical polynomials is a graded subalgebra of the ring of all polynomials.The standard separation of variables theorem asserts that every polynomial can be expressed as a finite sum of terms, each term being a product of a radical polynomial and a harmonic polynomial. This is equivalent to the statement that the ring of all polynomials is a free module over the ring of radical polynomials.".
- Radical_polynomial wikiPageID "5755338".
- Radical_polynomial wikiPageRevisionID "468924660".
- Radical_polynomial hasPhotoCollection Radical_polynomial.
- Radical_polynomial subject Category:Abstract_algebra.
- Radical_polynomial subject Category:Invariant_theory.
- Radical_polynomial subject Category:Polynomials.
- Radical_polynomial type Abstraction100002137.
- Radical_polynomial type Function113783816.
- Radical_polynomial type MathematicalRelation113783581.
- Radical_polynomial type Polynomial105861855.
- Radical_polynomial type Polynomials.
- Radical_polynomial type Relation100031921.
- Radical_polynomial comment "In mathematics, in the realm of abstract algebra, a radical polynomial is a multivariate polynomial over a field that can be expressed as a polynomial in the sum of squares of the variables.".
- Radical_polynomial label "Radical polynomial".
- Radical_polynomial sameAs m.0f2y7s.
- Radical_polynomial sameAs Q7280492.
- Radical_polynomial sameAs Q7280492.
- Radical_polynomial sameAs Radical_polynomial.
- Radical_polynomial wasDerivedFrom Radical_polynomial?oldid=468924660.
- Radical_polynomial isPrimaryTopicOf Radical_polynomial.