covariant

== English == === Etymology === From co- + variant. === Pronunciation === === Adjective === covariant (not comparable) (category theory, of a functor) Which preserves the order of morphism composition: formally, which associates each morphism f : X → Y {\displaystyle f:X\to Y} to a morphism F ( f ) : F ( X ) → F ( Y ) {\displaystyle F(f):F(X)\to F(Y)} . Antonym: contravariant (object-oriented programming) Using or relating to covariance. ==== Derived terms ==== ==== Translations ==== === Noun === covariant (plural covariants) (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. (algebra) The variety defined by a covariant. ==== Translations ==== == Romanian == === Etymology === Borrowed from French covariant. === Noun === covariant n (plural covariante) covariant ==== Declension ==== === References === covariant in Academia Română, Micul dicționar academic, ediția a II-a, Bucharest: Univers Enciclopedic, 2010. →ISBN