covariant

English

Etymology

From co- +‎ variant.

Pronunciation

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Adjective

covariant (not comparable)

1. (category theory, of a functor) Which preserves the order of morphism composition: formally, which associates each morphism $f:X\to Y$ to a morphism $F(f):F(X)\to F(Y)$.

   Antonym: contravariant

2. (object-oriented programming) Using or relating to covariance.

Derived terms

• bicovariant
• covariantisation
• covariantization
• covariantize
• covariantly
• Frobenius covariant
• noncovariant
• semicovariant
• supercovariant

 

Translations

which preserves composition

• Finnish: kovariantti
• French: covariant (fr)
• German: kovariant
• Hindi: सहपरिवर्ती (sahaprivartī)
• Portuguese: covariante

relating to covariance

• Finnish: kovariantti
• French: covariant (fr)
• German: kovariant
• Hindi: सहपरिवर्ती (sahaprivartī)

Noun

covariant (plural covariants)

1. (algebra) A bihomogeneous polynomial in x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations.
2. (algebra) The variety defined by a covariant.

Translations

bihomogeneous polynomial...

• Hindi: सहपरिवर्ती (sahaprivartī)

variety defined by a covariant

• Hindi: सहपरिवर्ती (sahaprivartī)