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About: Multivector     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Variable105857459, within Data Space : dbpedia.org associated with source document(s)

Type: Thingyago:WikicatTensorsyago:Abstraction100002137yago:Cognition100023271yago:Concept105835747yago:Content105809192yago:Idea105833840yago:PsychologicalFeature100023100yago:Quantity105855125yago:Tensor105864481yago:Variable105857459 New Facet based on Instances of this Class

In multilinear algebra, a multivector, sometimes called Clifford number, is an element of the exterior algebra Λ(V) of a vector space V. This algebra is graded, associative and alternating, and consists of linear combinations of simple k-vectors (also known as decomposable k-vectors or k-blades) of the form where are in V. For k = 0, 1, 2 and 3, k-vectors are often called respectively scalars, vectors, bivectors and trivectors; they are respectively dual to 0-forms, 1-forms, 2-forms and 3-forms.