tetration
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English
Etymology
tetra- + (itera)tion; coined by Reuben Goodstein
Pronunciation
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
Coordinate terms
Other terms used in arithmetic operations:
- successor
- addition, summation:
- subtraction:
- (minuend) − (subtrahend) = (difference)
- multiplication, factorization:
- (multiplier) × (multiplicand) = (product)
- (factor) × (factor) × (factor)... = (product)
- division:
- exponentiation:
- root extraction:
- logarithmization:
- log(base) (antilogarithm) = (logarithm)
Advanced hyperoperations: tetration, pentation, hexation