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- Two-vector abstract "A two-vector is a tensor of type (2,0) and it is the dual of a two-form, meaning that it is a linear functional which maps two-forms to the real numbers (or more generally, to scalars).The tensor product of a pair of vectors is a two-vector. Then, any two-form can be expressed as a linear combination of tensor products of pairs of vectors, especially a linear combination of tensor products of pairs of basis vectors. If f is a two-vector, thenwhere the f α β are the components of the two-vector. Notice that both indices of the components are contravariant. This is always the case for two-vectors, by definition.An example of a two-vector is the inverse gμ ν of the metric tensor.The components of a two-vector may be represented in a matrix-like array. However, a two-vector, as a tensor, should not be confused with a matrix, since a matrix is a linear functionwhich maps vectors to vectors, whereas a two-vector is a linear functionalwhich maps one-forms to vectors. In this sense, a matrix, considered as a tensor, is a mixed tensor of type (1,1) even though of the same rank as a two-vector.".
- Two-vector wikiPageID "2213741".
- Two-vector wikiPageRevisionID "450119691".
- Two-vector hasPhotoCollection Two-vector.
- Two-vector subject Category:Tensors.
- Two-vector type Abstraction100002137.
- Two-vector type Cognition100023271.
- Two-vector type Concept105835747.
- Two-vector type Content105809192.
- Two-vector type Idea105833840.
- Two-vector type PsychologicalFeature100023100.
- Two-vector type Quantity105855125.
- Two-vector type Tensor105864481.
- Two-vector type Tensors.
- Two-vector type Variable105857459.
- Two-vector comment "A two-vector is a tensor of type (2,0) and it is the dual of a two-form, meaning that it is a linear functional which maps two-forms to the real numbers (or more generally, to scalars).The tensor product of a pair of vectors is a two-vector. Then, any two-form can be expressed as a linear combination of tensor products of pairs of vectors, especially a linear combination of tensor products of pairs of basis vectors.".
- Two-vector label "Two-vector".
- Two-vector sameAs m.06wff7.
- Two-vector sameAs Q7858777.
- Two-vector sameAs Q7858777.
- Two-vector sameAs Two-vector.
- Two-vector wasDerivedFrom Two-vector?oldid=450119691.
- Two-vector isPrimaryTopicOf Two-vector.