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function

1. mathematics (Or "map", "mapping") If D and C are sets

(the domain and codomain) then a function f from D to C,

normally written "f : D -@# C" is a subset of D x C such that:

1. For each d in D there exists some c in C such that (d,c) is

an element of f. I.e. the function is defined for every

element of D.

2. For each d in D, c1 and c2 in C, if both (d,c1) and (d,c2)

are elements of f then c1 = c2. I.e. the function is uniquely

defined for every element of D.

2. programming Computing usage derives from the mathematical

term but is much less strict. In programming (except in

functional programming), a function may return different

values each time it is called with the same argument values

and may have side effects.

A procedure is a function which returns no value but has

only side-effects. The C language, for example, has no

void, for the result of a function that has no result.