Googology Wiki
Advertisement
Googology Wiki

Nested Cascading-E notation is an extension of Cascading-E notation invented by Aarex Tiaokhiao.[1] It is also called Cascading Hyper-E Notation. It is limited by FGH's \(f_{\varphi(\omega,0)}(n)\).

It can be defined formally as follows, where @ represents the rest of the expression:

  • E(a)b = a^b
  • @ 1 = @
  • @ n#m = @ (# n#m-1)
  • @ #1 m = @ #m
  • @ n #l m = @ n #l-1 n...n #l-1 n (m n's)
  • @ n #^# m = @ n #...# m (n #'s)
  • n #^^c m = n #^#...#^# (c #^#'s)
  • n #^...^c m = n #^...(#^...^c-1) m

The definition is currently incomplete.

Sources

See also

Advertisement