contravariant

English

Pronunciation

• Audio (US):

  (file)

Adjective

contravariant (not comparable)

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

   Antonym: covariant

2. (object-oriented programming) Using or relating to contravariance.
3. (linear algebra, of a vector) Scaling inversely with a change of basis.

Derived terms

• contravariantly
• contravector

 

Translations

which reverses composition

• Finnish: kontravariantti
• French: contravariant (fr)
• German: kontravariant
• Portuguese: contravariante
• Romanian: contravariant m
• Swedish: kontravariant

relating to contravariance

• Finnish: kontravariantti
• French: contravariant (fr)
• German: kontravariant

Noun

contravariant (plural contravariants)

1. (algebra) A bihomogeneous polynomial in dual variables of x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations.

Translations

translation

• Finnish: kontravariantti