tetration

English

Etymology

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

Noun

tetration (usually uncountable, plural tetrations)

(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

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