contravariant

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adjective

Which reverses the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(Y)→F(X).

Opposite
UncommonScrabble 18

Meanings

adjectivecontravariant (not comparable)
  1. not comparablecategory theoryWhich reverses the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(Y)→F(X).

    Antonyms: covariant

  2. not comparableobject-oriented programmingUsing or relating to contravariance.
  3. not comparablelinear algebraScaling inversely with a change of basis.
nouncontravariant (plural contravariants)

plural contravariants

  1. algebraA 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.

Synonyms & antonyms

adjectiveWhich reverses the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(Y)→F(X).

Opposite

Origin

  1. Proto-Indo-European*ḱe?
  2. Proto-Indo-European*ḱóm
  3. Proto-Italic*kom
  4. Proto-Italic*kom-
  5. Proto-Italic*komteros
  6. Proto-Italic*komterād
  7. Latincontrā
  8. Englishcontra-
  9. Englishvariant
  10. Englishcontravariant

From contra- + variant.

Full word history & related roots →

Translations

Finnish kontravariantti, kontravariantti
  • kontravarianttiwhich reverses composition
  • kontravarianttirelating to contravariance
  • kontravarianttitranslation
French contravariant, contravariant
  • contravariantwhich reverses composition
  • contravariantrelating to contravariance
German kontravariant, kontravariant
  • kontravariantwhich reverses composition
  • kontravariantrelating to contravariance
Portuguese contravariante
  • contravariantewhich reverses composition
Romanian contravariant
  • contravariantwhich reverses composition
Swedish kontravariant
  • kontravariantwhich reverses composition
Cite this entry
APA

contravariant. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/contravariant

MLA

“contravariant.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/contravariant. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “contravariant,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/contravariant.

Source: contravariant on Wiktionary, CC BY-SA 4.0.