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- In mathematics and computer science, Apply is a function that applies functions to arguments It is a central concept in programming languages derived from lambda calculus, such as LISP and Scheme, and also in functional languages In particular, it has a role in the study of the denotational semantics of computer programs, by virtue of the fact that it is a continuous function on complete partial orders In category theory, Apply is important in Cartesian closed categories, (and thus, also in Topos theory), where it is a universal morphism, right adjoint to currying
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