Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun arithmetic The arithmetic
operator consisting of repeatedexponentiation , by analogy with exponentiation being repeated multiplication and multiplication being repeated addition, ba denoting a to the power of a to the power of ... to the power of a, in which a appears b times. Notation: ba, or
Etymologies
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

In such a way, the name tetration indicates, that this operation is fourth (id est, tetra) in the hierarchy of operations after summation, multiplication, and exponentiation.

In such a way, the name tetration indicates, that this operation is fourth (id est, tetra) in the hierarchy of operations after summation, multiplication, and exponentiation.

In such a way, the name tetration indicates, that this operation is fourth (id est, tetra) in the hierarchy of operations after summation, multiplication, and exponentiation.

So off I go to Google largest numbers and we are learning about googol, googolplex, Graham's number, large number notation, exponentiation, tetration.

So off I go to Google largest numbers and we are learning about googol, googolplex, Graham's number, large number notation, exponentiation, tetration.

Q corresponds to the asymptotic behavior of tetration.

Q tetermines periodicity of quasiperiodicity of tetration.

As the asymptoric of tetration is crutually depend of base

Basic properties of tetration are determined by the base ln (b) are plotted in figure 3.

Requirement of definition of tetration determine the asymptotic of the solution.
shevek commented on the word tetration
As exponentiation is to multiplication, tetration is to exponentiation. Quite an interesting operation, because no one has yet found a well behaved way to generalize tetration beyond the natural numbers. Tetration is notated as a superscript before the number to be tetrated.
July 11, 2008