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Conway's chained arrow notation

Synonym: 
chained arrow notation, chained arrow, chained-arrow, chained-arrow notation, Conway notation
Type of Math Object: 
Definition
Major Section: 
Reference

Mathematics Subject Classification

00A05 no label found

Comments

I don't believe the definition and examples are complete. If p is greater than one, m->...n-> is repeated p+1 times, and q is repeated p times.

Forex,

3 -> 2 -> 4 -> 4

= 3 -> 2 -> (3 -> 2 -> (3 -> 2 -> (3 -> 2) -> 3) -> 3) -> 3
Therefore parentheses are balanced out. Continuing from the innermost pair of parentheses-

= 3 -> 2 -> (3 -> 2 -> (3 -> 2 -> 9 -> 3) -> 3) -> 3

... etc.

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