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mathematics
A function f : A -@# B is surjective or onto or a
surjection if f A = B. I.e. f can return any value in B.
This means that its
image
is its
codomain
.
Only surjections have
right inverses
, f' : B -@# A where
f (f' x) = x since if f were not a surjection there would be
elements of B for which f' was not defined.
See also
bijection
,
injection
.
(1995-05-27)