# Functions That Enumerate Pairs

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A function that enumerates pairs is a bijective mapping of the set of non-negative integers to the set of all ordered pairs of non-negative integers. Thus there are three functions , , that satisfy the relations , , , with . One such triple is defined by ; , where is the largest integer for which .

Contributed by: Izidor Hafner (October 2011)

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"Functions That Enumerate Pairs"

http://demonstrations.wolfram.com/FunctionsThatEnumeratePairs/

Wolfram Demonstrations Project

Published: October 13 2011