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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".
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- Tensor_(intrinsic_definition) wikiPageOutDegree "49".
- Tensor_(intrinsic_definition) wikiPageRevisionID "675912189".
- Tensor_(intrinsic_definition) wikiPageWikiLink Abstract_algebra.
- Tensor_(intrinsic_definition) wikiPageWikiLink Abstract_and_concrete.
- Tensor_(intrinsic_definition) wikiPageWikiLink Basis_(linear_algebra).
- Tensor_(intrinsic_definition) wikiPageWikiLink Bilinear_form.
- Tensor_(intrinsic_definition) wikiPageWikiLink Cartesian_product.
- Tensor_(intrinsic_definition) wikiPageWikiLink Category:Tensors.
- Tensor_(intrinsic_definition) wikiPageWikiLink Coordinate-free.
- Tensor_(intrinsic_definition) wikiPageWikiLink Differentiable_manifold.
- Tensor_(intrinsic_definition) wikiPageWikiLink Differential_geometry.
- Tensor_(intrinsic_definition) wikiPageWikiLink Direct_sum_of_modules.
- Tensor_(intrinsic_definition) wikiPageWikiLink Dual_space.
- Tensor_(intrinsic_definition) wikiPageWikiLink Engineering.
- Tensor_(intrinsic_definition) wikiPageWikiLink Evaluation_strategy.
- Tensor_(intrinsic_definition) wikiPageWikiLink Factorization.
- Tensor_(intrinsic_definition) wikiPageWikiLink Field_(mathematics).
- Tensor_(intrinsic_definition) wikiPageWikiLink Free_module.
- Tensor_(intrinsic_definition) wikiPageWikiLink Gaussian_elimination.
- Tensor_(intrinsic_definition) wikiPageWikiLink General_relativity.
- Tensor_(intrinsic_definition) wikiPageWikiLink Homological_algebra.
- Tensor_(intrinsic_definition) wikiPageWikiLink Inner_product_space.
- Tensor_(intrinsic_definition) wikiPageWikiLink Linear_algebra.
- Tensor_(intrinsic_definition) wikiPageWikiLink Linear_form.
- Tensor_(intrinsic_definition) wikiPageWikiLink Linear_map.
- Tensor_(intrinsic_definition) wikiPageWikiLink Manifold.
- Tensor_(intrinsic_definition) wikiPageWikiLink Mathematics.
- Tensor_(intrinsic_definition) wikiPageWikiLink Matrix_(mathematics).
- Tensor_(intrinsic_definition) wikiPageWikiLink Metric_(mathematics).
- Tensor_(intrinsic_definition) wikiPageWikiLink Metric_tensor.
- Tensor_(intrinsic_definition) wikiPageWikiLink Multilinear_algebra.
- Tensor_(intrinsic_definition) wikiPageWikiLink Multilinear_map.
- Tensor_(intrinsic_definition) wikiPageWikiLink Natural_transformation.
- Tensor_(intrinsic_definition) wikiPageWikiLink Outer_product.
- Tensor_(intrinsic_definition) wikiPageWikiLink Physical_property.
- Tensor_(intrinsic_definition) wikiPageWikiLink Physics.
- Tensor_(intrinsic_definition) wikiPageWikiLink Rank_(linear_algebra).
- Tensor_(intrinsic_definition) wikiPageWikiLink Tensor.
- Tensor_(intrinsic_definition) wikiPageWikiLink Tensor_field.
- Tensor_(intrinsic_definition) wikiPageWikiLink Tensor_product.
- Tensor_(intrinsic_definition) wikiPageWikiLink The_Art_of_Computer_Programming.
- Tensor_(intrinsic_definition) wikiPageWikiLink Universal_property.
- Tensor_(intrinsic_definition) wikiPageWikiLink Vector_space.
- Tensor_(intrinsic_definition) wikiPageWikiLink Zero_element.
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "Tensor (intrinsic definition) §Basis".
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "Tensor (intrinsic definition)".
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "Tensor (intrinsic definition)#Tensor rank".
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "Tensor_(intrinsic_definition)".
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "index-free methods to represent tensors".
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "intrinsic definition".
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "order".
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "rank".
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "tensor fields".
- Tensor_(intrinsic_definition) wikiPageWikiLinkText "tensor".
- Tensor_(intrinsic_definition) wikiPageUsesTemplate Template:Citation.
- Tensor_(intrinsic_definition) wikiPageUsesTemplate Template:For.
- Tensor_(intrinsic_definition) wikiPageUsesTemplate Template:Harv.
- Tensor_(intrinsic_definition) wikiPageUsesTemplate Template:Main.
- Tensor_(intrinsic_definition) wikiPageUsesTemplate Template:Tensors.
- Tensor_(intrinsic_definition) subject Category:Tensors.
- Tensor_(intrinsic_definition) type Concept.
- Tensor_(intrinsic_definition) type Physic.
- Tensor_(intrinsic_definition) type Redirect.
- Tensor_(intrinsic_definition) type Tensor.
- 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 "Tensor (intrinsic definition)".
- Tensor_(intrinsic_definition) sameAs Q3518150.
- Tensor_(intrinsic_definition) sameAs Tenseur_(mathématiques).
- Tensor_(intrinsic_definition) sameAs テンソル空間.
- Tensor_(intrinsic_definition) sameAs m.01lt36.
- Tensor_(intrinsic_definition) sameAs Q3518150.
- Tensor_(intrinsic_definition) sameAs 张量_(内蕴定义).
- Tensor_(intrinsic_definition) wasDerivedFrom Tensor_(intrinsic_definition)?oldid=675912189.
- Tensor_(intrinsic_definition) isPrimaryTopicOf Tensor_(intrinsic_definition).