contravariant

[ˌkɒntrəˈveəriənt]

contravariant Definition

(of a function or functor) changing in the opposite way to the way in which the variable or object changes..

Using contravariant: Examples

Take a moment to familiarize yourself with how "contravariant" can be used in various situations through the following examples!

  • Example

    In mathematics, a contravariant functor is a functor that reverses morphisms and preserves their composition.

  • Example

    The contravariant behavior of the tensor is responsible for the fact that it transforms as a covector.

  • Example

    The contravariant components of a vector transform differently than the covariant components under a change of basis.

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Summary: contravariant in Brief

The term 'contravariant' [ˌkɒntrəˈveəriənt] refers to a function or functor that changes in the opposite way to the way in which the variable or object changes. It is commonly used in mathematics to describe the behavior of tensors and vectors under a change of basis.