tetration

English

Etymology

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

Pronunciation

IPA^(key): /tɛtˈɹeɪʃən/
Rhymes: -eɪʃən

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↑↑b or a→b→2

Synonyms

exponential map, hyper4, hyperpower, power tower, superexponentiation

Coordinate terms

Other terms used in arithmetic operations:

successor
addition, summation:
(augend) + (addend) = (total)

(summand) + (summand) + (summand)... = (sum)
subtraction:
(minuend) − (subtrahend) = (difference)
multiplication, factorization:
(multiplier) × (multiplicand) = (product)

(factor) × (factor) × (factor)... = (product)
division:
(dividend) ÷ (divisor) = (quotient)

(numerator) / (denominator) = (quotient)
Or sometimes = (quotient) with (remainder) remaining
exponentiation:
(base) ^(exponent) = (power)
root extraction:
^(degree) √ (radicand) = (root)
logarithmization:
log_(base) (antilogarithm) = (logarithm)

Advanced hyperoperations: tetration, pentation, hexation

Translations

Translations

Chinese:
Mandarin: 超-4運算／超-4运算
Finnish: tetraatio (fi)
German: Tetration f
Italian: tetrazione f
Polish: tetracja f

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