Background for covariant

covariant

/koʊˈveəriənt/ /koʊˈværiənt/

Illustration covariant - Image 1

noun

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.

Examples :

"Because calculating the covariant for higher-degree polynomials is computationally intensive, researchers often rely on specialized software to find them efficiently. "

Illustration covariant - Image 1

noun

The variety defined by a covariant.

Examples :

"The equation represents a line; the covariant determines if this line intersects a specific circle. "

Illustration covariant - Image 1

adjective

(Of a functor) which preserves composition.

Examples :

"A programming language's covariant return type allows a function in a subclass to return a more specific type than the function in its superclass, ensuring that the composed actions of inheritance and function calling still yield expected results. "

Illustration covariant - Image 1

adjective

Using or relating to covariance.

Examples :

"The covariant changes in Maria's study habits and her improved grades suggested a strong relationship between effort and achievement. "

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