tetration
التعريفات والمعاني
== English ==
=== Etymology ===
From tetra- (prefix meaning ‘four’) + (itera)tion, from the fact that tetration is in fourth place after addition, multiplication, and exponentiation. The word was coined by the English mathematician Reuben Goodstein (1912–1985).
=== Pronunciation ===
(Received Pronunciation) IPA(key): /tɛˈtɹeɪʃn̩/
(General American) IPA(key): /tɛˈtɹeɪʃən/
Rhymes: -eɪʃən
Hyphenation: tetr‧at‧ion
=== 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,
b
a
{\displaystyle ^{b}a}
denoting
a
{\displaystyle a}
to the power of
a
{\displaystyle a}
to the power of
…
{\displaystyle \ldots }
to the power of
a
{\displaystyle a}
, in which
a
{\displaystyle a}
appears
b
{\displaystyle b}
times.
Synonyms: exponential map, hyper4, hyperpower, power tower, superexponentiation
==== Usage notes ====
Not to be confused with titration.
==== Coordinate terms ====
Other terms used in arithmetic operations:
Advanced hyperoperations: tetration, pentation, hexation
==== Derived terms ====
tetrational
==== Related terms ====
tetrate
==== Translations ====
=== References ===
=== Further reading ===
tetration on Wikipedia.Wikipedia