Conway’s chained arrow notation
Conway’s chained arrow notation is a way of writing numbers even larger than those provided by the up arrow notation. We define and . Longer chains are evaluated by
and
For example:
A much larger example is:
Clearly this is going to be a very large number. Note that, as large as it is, it is proceeding towards an eventual final evaluation, as evidenced by the fact that the final number in the chain is getting smaller.
Title | Conway’s chained arrow notation |
Canonical name | ConwaysChainedArrowNotation |
Date of creation | 2013-03-22 12:58:46 |
Last modified on | 2013-03-22 12:58:46 |
Owner | Henry (455) |
Last modified by | Henry (455) |
Numerical id | 8 |
Author | Henry (455) |
Entry type | Definition |
Classification | msc 00A05 |
Synonym | chained arrow notation |
Synonym | chained arrow |
Synonym | chained-arrow |
Synonym | chained-arrow notation |
Synonym | Conway notation |
Related topic | KnuthsUpArrowNotation |