Definition of "tetration" [tetration]

• The arithmetic operator consisting of repeated exponentiation, 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 (noun)

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