The Cantor pairing function is a pairing function
defined by
When we apply the pairing function to and we often denote the resulting number as
This definition can be inductively generalized to the Cantor tuple function
as
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“Through man, and woman, and sea, and star,
Saw the dance of nature forward far;
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Saw musical order, and pairing rhymes.”
—Ralph Waldo Emerson (18031882)
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