하이퍼 연산: 두 판 사이의 차이

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{{Main|Knuth's up-arrow notation}}
 
The ''hyperoperation하이퍼 연산 sequence수열'' is a [[sequence수열]] <math>H_n</math> of [[binary operation]]s on <math>\mathbb{N}</math>, [[Index set|indexed]] by <math>\mathbb{N}</math>, which starts with [[addition덧셈]] (''n''&nbsp;=&nbsp;1), [[multiplication곱셈]] (''n''&nbsp;=&nbsp;2) and [[exponentiation거듭제곱]] <math>(n=3)</math>.
The parameters of the hyperoperation hierarchy are referred to by their analogous exponentiation term; so ''a'' is the '''''base''''', ''b'' is the '''''exponent'''''
(or ''hyperexponent''<ref name=galidakis />), and ''n'' is the '''''rank''''' (or ''grade''<ref name=bennett />).
 
Using [[Knuth's up-arrow notation|arrow notation]] we can defined hyperoperations as