1. covariant - Noun
2. covariant - Adjective
3. covariant - Adjective Satellite
A function involving the coefficients and the variables of a quantic, and such that when the quantic is lineally transformed the same function of the new variables and coefficients shall be equal to the old function multiplied by a factor. An invariant is a like function involving only the coefficients of the quantic.
Source: Webster's dictionaryA notable exception to modern algebraic geometry texts following the conventions of this article is Commutative algebra with a view toward algebraic geometry / David Eisenbud (1995), which uses "h A " to mean the covariant hom-functor. Source: Internet
Chapter six gives a "from scratch" introduction to covariant tensors. Source: Internet
For the individual matrix entries, this transformation law has the form so the tensor corresponding to the matrix of a linear operator has one covariant and one contravariant index: it is of type (1,1). Source: Internet
Given an arbitrary contravariant functor G from C to Set, Yoneda's lemma asserts that : Naming conventions The use of "h A " for the covariant hom-functor and "h A " for the contravariant hom-functor is not completely standard. Source: Internet
Covariant vectors There are also vector quantities with covariant indices. Source: Internet
He gave up looking for fully generally covariant tensor equations, and searched for equations that would be invariant under general linear transformations only. Source: Internet