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- Multivector abstract "A multivector is the result of a product defined for elements in a vector space V. A vector space with a linear product operation between vectors is called an algebra, see for example matrix algebra and vector algebra. The algebra of multivectors is constructed using the wedge product ʌ and is related to the exterior algebra of differential forms.The set of multivectors on a vector space V is graded by the number of basis vectors that form a basis multivector. A multivector that is the product of p basis vectors is called a rank p multivector, or a p-vector. The linear combination of basis p-vectors forms a vector space denoted as Λp(V). The maximum rank of a multivector is the dimension of the vector space V.The product of a p-vector and a k-vector is a k+p-vector so the set of linear combinations of all multivectors on V is an associative algebra, which is closed with respect to the wedge product. This algebra, denoted by Λ(V), is called the exterior algebra of V.".
- Multivector wikiPageID "2727288".
- Multivector wikiPageRevisionID "604215505".
- Multivector caption "Orientation defined by an ordered set of vectors.".
- Multivector caption "Reversed orientation corresponds to negating the exterior product.".
- Multivector footer "Geometric interpretation of grade n elements in a real exterior algebra for , 1 , 2 , 3 . The exterior product of n vectors can be visualized as any n-dimensional shape ; with magnitude , and orientation defined by that on its -dimensional boundary and on which side the interior is.".
- Multivector hasPhotoCollection Multivector.
- Multivector image "N vector negative png version.png".
- Multivector image "N vector positive png version.png".
- Multivector width "220".
- Multivector subject Category:Differential_geometry.
- Multivector subject Category:Geometric_algebra.
- Multivector subject Category:Multilinear_algebra.
- Multivector subject Category:Tensors.
- Multivector type Abstraction100002137.
- Multivector type Cognition100023271.
- Multivector type Concept105835747.
- Multivector type Content105809192.
- Multivector type Idea105833840.
- Multivector type PsychologicalFeature100023100.
- Multivector type Quantity105855125.
- Multivector type Tensor105864481.
- Multivector type Tensors.
- Multivector type Variable105857459.
- Multivector comment "A multivector is the result of a product defined for elements in a vector space V. A vector space with a linear product operation between vectors is called an algebra, see for example matrix algebra and vector algebra. The algebra of multivectors is constructed using the wedge product ʌ and is related to the exterior algebra of differential forms.The set of multivectors on a vector space V is graded by the number of basis vectors that form a basis multivector.".
- Multivector label "Multivecteur".
- Multivector label "Multivector".
- Multivector label "Поливектор".
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- Multivector sameAs m.07_9jy.
- Multivector sameAs Q2377336.
- Multivector sameAs Q2377336.
- Multivector sameAs Multivector.
- Multivector wasDerivedFrom Multivector?oldid=604215505.
- Multivector isPrimaryTopicOf Multivector.