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English
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Russian
Contravariant
UK
/ˌkɒntrəˈveə.ər.ənt/
US
/ˌkɑntrəˈvɛr.ənt/
Translation contravariant into russian
contravariant
Noun
UK
/ˌkɒntrəˈveə.ər.ənt/
US
/ˌkɑntrəˈvɛr.ənt/
In tensor calculus, a contravariant vector transforms in a specific way under coordinate changes.
В тензорном исчислении контравариантный вектор преобразуется определённым образом при изменении координат.
contravariant
Adjective
UK
/ˌkɒntrəˈveə.ər.ənt/
US
/ˌkɑntrəˈvɛr.ənt/
In differential geometry, a contravariant vector transforms in a specific way under coordinate changes.
В дифференциальной геометрии контравариантный вектор преобразуется определённым образом при изменении координат.
Definitions
contravariant
Noun
UK
/ˌkɒntrəˈveə.ər.ənt/
US
/ˌkɑntrəˈvɛr.ənt/
In mathematics, particularly in the context of tensor calculus, a contravariant is a type of vector or tensor that transforms in a specific way under a change of coordinates, typically transforming with the inverse of the Jacobian matrix of the transformation.
In differential geometry, a contravariant vector is used to describe quantities that transform oppositely to the coordinate system.
contravariant
Adjective
UK
/ˌkɒntrəˈveə.ər.ənt/
US
/ˌkɑntrəˈvɛr.ənt/
In mathematics, especially in the context of tensors, describing a quantity that transforms in a specific way under a change of basis, typically in the opposite manner to covariant quantities.
The contravariant vector components change inversely with the transformation of the coordinate system.
Idioms and phrases
contravariant functor
The dual of a covariant functor is a contravariant functor.
контравариантный функтор
Двойственным к ковариантному функтору является контравариантный функтор.