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
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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.
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

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.
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

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.
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

So off I go to Google largest numbers and we are learning about googol, googolplex, Graham's number, large number notation, exponentiation, tetration.
If I'da known you were comin', I'da baked a CAKE! Sissie 2009

So off I go to Google largest numbers and we are learning about googol, googolplex, Graham's number, large number notation, exponentiation, tetration.
Archive 20090301 Sissie 2009

Q corresponds to the asymptotic behavior of tetration.
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

Q tetermines periodicity of quasiperiodicity of tetration.
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

As the asymptoric of tetration is crutually depend of base
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

Basic properties of tetration are determined by the base ln (b) are plotted in figure 3.
Citizendium, the Citizens' Compendium  Recent changes [en] 2008

Requirement of definition of tetration determine the asymptotic of the solution.
Citizendium, the Citizens' Compendium  Recent changes [en] 2008
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