tetration

English

Etymology

tetra- +‎ (itera)tion; coined by Reuben Goodstein

Noun

tetration (usually uncountable, plural tetrations)

1. (arithmetic) 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, $a\uparrow \uparrow b$ or $a\rightarrow b\rightarrow 2$

Synonyms

• exponential map, hyper4, hyperpower, power tower, superexponentiation