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
Famous quotes containing the word apply:
“Weekend planning is a prime time to apply the Deathbed Priority Test: On your deathbed, will you wish you’d spent more prime weekend hours grocery shopping or walking in the woods with your kids?”
—Louise Lague (20th century)
“Perhaps these pages are more particularly addressed to poor students. As for the rest of my readers, they will accept such portions as apply to them.”
—Henry David Thoreau (1817–1862)
“Still let us not be over-sanguine of a speedy final triumph. Let us be quite sober. Let us diligently apply the means, never doubting that a just God, in his own good time, will give us the rightful result.”
—Abraham Lincoln (1809–1865)