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- Tensor_(intrinsic_definition) abstract "In mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multi-linear concept. Their well-known properties can be derived from their definitions, as linear maps or more generally; and the rules for manipulations of tensors arise as an extension of linear algebra to multilinear algebra.In differential geometry an intrinsic geometric statement may be described by a tensor field on a manifold, and then doesn't need to make reference to coordinates at all. The same is true in general relativity, of tensor fields describing a physical property. The component-free approach is also used heavily in abstract algebra and homological algebra, where tensors arise naturally.Note: This article assumes an understanding of the tensor product of vector spaces without chosen bases. An overview of the subject can be found in the main tensor article.".
- Tensor_(intrinsic_definition) wikiPageExternalLink 978-0-8176-4714-8.
- Tensor_(intrinsic_definition) wikiPageID "255059".
- Tensor_(intrinsic_definition) wikiPageRevisionID "581436194".
- Tensor_(intrinsic_definition) hasPhotoCollection Tensor_(intrinsic_definition).
- Tensor_(intrinsic_definition) subject Category:Tensors.
- Tensor_(intrinsic_definition) type Abstraction100002137.
- Tensor_(intrinsic_definition) type Cognition100023271.
- Tensor_(intrinsic_definition) type Concept105835747.
- Tensor_(intrinsic_definition) type Content105809192.
- Tensor_(intrinsic_definition) type Idea105833840.
- Tensor_(intrinsic_definition) type PsychologicalFeature100023100.
- Tensor_(intrinsic_definition) type Quantity105855125.
- Tensor_(intrinsic_definition) type Tensor105864481.
- Tensor_(intrinsic_definition) type Tensors.
- Tensor_(intrinsic_definition) type Variable105857459.
- Tensor_(intrinsic_definition) comment "In mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multi-linear concept.".
- Tensor_(intrinsic_definition) label "Tenseur (mathématiques)".
- Tensor_(intrinsic_definition) label "Tensor (intrinsic definition)".
- Tensor_(intrinsic_definition) label "张量 (内蕴定义)".
- Tensor_(intrinsic_definition) sameAs Tenseur_(mathématiques).
- Tensor_(intrinsic_definition) sameAs m.01lt36.
- Tensor_(intrinsic_definition) sameAs Q3518150.
- Tensor_(intrinsic_definition) sameAs Q3518150.
- Tensor_(intrinsic_definition) sameAs Tensor_(intrinsic_definition).
- Tensor_(intrinsic_definition) wasDerivedFrom Tensor_(intrinsic_definition)?oldid=581436194.
- Tensor_(intrinsic_definition) isPrimaryTopicOf Tensor_(intrinsic_definition).