About: Mixed tensor

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In tensor analysis, a mixed tensor is a tensor which is neither strictly covariant nor strictly contravariant; at least one of the indices of a mixed tensor will be a subscript (covariant) and at least one of the indices will be a superscript (contravariant). A mixed tensor of type or valence , also written "type (M, N)", with both M > 0 and N > 0, is a tensor which has M contravariant indices and N covariant indices. Such a tensor can be defined as a linear function which maps an (M + N)-tuple of M one-forms and N vectors to a scalar.

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rdfs:label	Mixed tensor (en) Tensor misto (pt)
rdfs:comment	In tensor analysis, a mixed tensor is a tensor which is neither strictly covariant nor strictly contravariant; at least one of the indices of a mixed tensor will be a subscript (covariant) and at least one of the indices will be a superscript (contravariant). A mixed tensor of type or valence , also written "type (M, N)", with both M > 0 and N > 0, is a tensor which has M contravariant indices and N covariant indices. Such a tensor can be defined as a linear function which maps an (M + N)-tuple of M one-forms and N vectors to a scalar. (en) Em análise tensorial, um tensor misto é um tensor que não é nem estritamente covariante nem estritamente contravariante; pelo menos um dos índices de um tensor misto será um subscrito (covariante) e, pelo menos, um dos índices será um sobrescrito (contravariante). Um tensor misto de tipo ou valência , também escrito "tipo (M, N)", com tanto M > 0 e N > 0, é um tensor o qual tem índices contravariantes M e índices covariantes N. Tal tensor pode ser definido como uma função linearque mapeia um (M + N)-toplo de M formas-um e N vetores a um escalar. (pt)
dcterms:subject	Tensors
Wikipage page ID	202772 (xsd:integer)
Wikipage revision ID	1090144047 (xsd:integer)
Link from a Wikipage to another Wikipage	Scalar (mathematics) Ricci calculus Covariance and contravariance of vectors Einstein notation The Road to Reality Linear operator Two-point tensor Gravitation (book) Tensor Tensors Tensor (intrinsic definition) Tensor analysis Kronecker delta Metric tensor Linear form Vector (geometry)
Link from a Wikipage to an external page	http://mathworld.wolfram.com/IndexGymnastics.html
sameAs	Mixed tensor Mixed tensor Mixed tensor Mixed tensor Mixed tensor
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Main dbt:Math dbt:No_footnotes dbt:Redirect dbt:Short_description dbt:Tensors
has abstract	In tensor analysis, a mixed tensor is a tensor which is neither strictly covariant nor strictly contravariant; at least one of the indices of a mixed tensor will be a subscript (covariant) and at least one of the indices will be a superscript (contravariant). A mixed tensor of type or valence , also written "type (M, N)", with both M > 0 and N > 0, is a tensor which has M contravariant indices and N covariant indices. Such a tensor can be defined as a linear function which maps an (M + N)-tuple of M one-forms and N vectors to a scalar. (en) Em análise tensorial, um tensor misto é um tensor que não é nem estritamente covariante nem estritamente contravariante; pelo menos um dos índices de um tensor misto será um subscrito (covariante) e, pelo menos, um dos índices será um sobrescrito (contravariante). Um tensor misto de tipo ou valência , também escrito "tipo (M, N)", com tanto M > 0 e N > 0, é um tensor o qual tem índices contravariantes M e índices covariantes N. Tal tensor pode ser definido como uma função linearque mapeia um (M + N)-toplo de M formas-um e N vetores a um escalar. (pt)
prov:wasDerivedFrom	wikipedia-en:Mixed_tensor?oldid=1090144047&ns=0
page length (characters) of wiki page	4445 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Mixed_tensor
is Link from a Wikipage to another Wikipage of	Ricci calculus Covariance and contravariance of vectors Cross product Christoffel symbols Multilinear algebra Contracted Bianchi identities Two-point tensor Glossary of tensor theory Tensor contraction Tensor type Divergence Cartesian tensor Mixed Tensor (p,q)-tensor Type of a tensor
is Wikipage redirect of	Tensor type Mixed Tensor (p,q)-tensor Type of a tensor
is foaf:primaryTopic of	wikipedia-en:Mixed_tensor

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