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About: Norm form     Goto   Sponge   NotDistinct   Permalink

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

Type: yago:Abstraction100002137yago:Communication100033020yago:Equation106669864yago:Function113783816yago:HomogeneousPolynomial105862268yago:MathematicalRelation113783581yago:MathematicalStatement106732169yago:Message106598915yago:Polynomial105861855yago:Relation100031921yago:WikicatHomogeneousPolynomialsyago:Statement106722453yago:WikicatDiophantineEquations New Facet based on Instances of this Class

In mathematics, a norm form is a homogeneous form in n variables constructed from the field norm of a field extension L/K of degree n. That is, writing N for the norm mapping to K, and selecting a basis e1, ..., en for L as a vector space over K, the form is given by N(x1e1 + ... + xnen) in variables x1, ..., xn.