Interesting Functions

I like the following class of functions very much:

f: \mathcal{Z}\longrightarrow \mathcal{Z} where \mathcal{Z} is the set of integers and f satisfies the following conditions:

1) f is a bijection.
2) f(i) \geq i for all i.

In a later post here I will explain why I like these functions.

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~ by bireswar on January 6, 2011.

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