## 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.