Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Harmonic_polynomial> ?p ?o. }
Showing items 1 to 21 of
21
with 100 items per page.
- Harmonic_polynomial abstract "In mathematics, in abstract algebra, a multivariate polynomial over a field whose Laplacian is zero is termed a harmonic polynomial.The harmonic polynomials form a vector subspace of the vector space of polynomials over the field. In fact, they form a graded subspace.The Laplacian is the sum of second partials with respect to all the variables, and is an invariant differential operator under the action of the orthogonal group viz the group of rotations.The standard separation of variables theorem states that every multivariate polynomial over a field can be decomposed as a finite sum of products of a radical polynomial and a harmonic polynomial. This is equivalent to the statement that the polynomial ring is a free module over the ring of radical polynomials.".
- Harmonic_polynomial wikiPageID "5755288".
- Harmonic_polynomial wikiPageRevisionID "544442341".
- Harmonic_polynomial hasPhotoCollection Harmonic_polynomial.
- Harmonic_polynomial subject Category:Abstract_algebra.
- Harmonic_polynomial subject Category:Polynomials.
- Harmonic_polynomial type Abstraction100002137.
- Harmonic_polynomial type Function113783816.
- Harmonic_polynomial type MathematicalRelation113783581.
- Harmonic_polynomial type Polynomial105861855.
- Harmonic_polynomial type Polynomials.
- Harmonic_polynomial type Relation100031921.
- Harmonic_polynomial comment "In mathematics, in abstract algebra, a multivariate polynomial over a field whose Laplacian is zero is termed a harmonic polynomial.The harmonic polynomials form a vector subspace of the vector space of polynomials over the field.".
- Harmonic_polynomial label "Harmonic polynomial".
- Harmonic_polynomial label "Гармонический многочлен".
- Harmonic_polynomial sameAs m.0f2y5q.
- Harmonic_polynomial sameAs Q4133834.
- Harmonic_polynomial sameAs Q4133834.
- Harmonic_polynomial sameAs Harmonic_polynomial.
- Harmonic_polynomial wasDerivedFrom Harmonic_polynomial?oldid=544442341.
- Harmonic_polynomial isPrimaryTopicOf Harmonic_polynomial.