Tetration

Tetration


Definitions


Notation

There are two related tetration notations:

{}^{n}{a}
      = a^{a^{\cdot^{\cdot^{a^{a}}}}} (Maurer) for tetration
\exp_a^{n}(z)
      = a^{a^{\cdot^{\cdot^{a^{z}}}}} (Euler) for iterated exponentials

for more notations, see the Tower Definitions page.

Super-roots are written 
  x = \asrt{y}{z} where 
  z = {}^{y}x

Super-logs are written 
  y = \aslog{x}{z} where 
  z = {}^{y}x