In mathematics and computer science, Apply is a function that applies functions to arguments. It is central to 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, because 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.
Read more about Apply: Programming, Universal Property, Topological Properties
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Famous quotes containing the word apply:
“To cook a pig, apply heat; to win a lawsuit, apply money.”
—Chinese proverb.
“Prudence is but experience, which equal time, equally bestows on all men, in those things they equally apply themselves unto.”
—Thomas Hobbes (1588–1679)
“The idealists dream and the dream is told, and the practical men listen and ponder and bring back the truth and apply it to human life, and progress and growth and higher human ideals come into being and so the world moves ever on.”
—Anna Howard Shaw (1847–1919)