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Floor Function
Associates with each real number x the greatest integer less than or equal to x.

Ceiling Function
Associates with each real number x the smallest integer greater than or equal to x.

Surjective/Onto
A function whose range of f equals the codomain of f.

Injective/OnetoOne
A function in which no member of T is the image under f of two distinct elements of S.

Bijective
A function which is both onetoone and onto.

Disjoint Cycles
Cycles which have no elements in common.

Identity Permutation/Identity Function
A permutation that maps each element of A to itself.

Derangement
A permutation on a set that maps no elements to itself.

