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[]
- ↑ Tiaokhiao, Aarex. Aarex Large Numbers. Retrieved 2013-4-8.[dead link]