About: Hyper operator

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Hyper operators or hyperoperations are extensions to the standard binary operators addition, multiplication, and exponentiation, as well as the unary successor function. Multiplication is repeated addition, and exponentiation is repeated multiplication, so it is natural to extend them further — repeated exponentiation is called "tetration," for instance. When used on the positive integers, each hyper operator grows much faster than the previous one; since the numbers generated become very large, hyper operators are considered to be googological. Hyper operators were first invented by Goodstein in 1947.

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rdfs:label	Hyper operator
rdfs:comment	Hyper operators or hyperoperations are extensions to the standard binary operators addition, multiplication, and exponentiation, as well as the unary successor function. Multiplication is repeated addition, and exponentiation is repeated multiplication, so it is natural to extend them further — repeated exponentiation is called "tetration," for instance. When used on the positive integers, each hyper operator grows much faster than the previous one; since the numbers generated become very large, hyper operators are considered to be googological. Hyper operators were first invented by Goodstein in 1947.
dcterms:subject	Functions Notations
dbkwik:googology/p...iPageUsesTemplate	dbkwik:resource/zeAKayftPedAD9WINPw1Uw== dbkwik:resource/yT3JrwLDjx1EXiHBG5CO8g==
abstract	Hyper operators or hyperoperations are extensions to the standard binary operators addition, multiplication, and exponentiation, as well as the unary successor function. Multiplication is repeated addition, and exponentiation is repeated multiplication, so it is natural to extend them further — repeated exponentiation is called "tetration," for instance. When used on the positive integers, each hyper operator grows much faster than the previous one; since the numbers generated become very large, hyper operators are considered to be googological. Hyper operators were first invented by Goodstein in 1947. \(a\) \(a\)-ated to \(a\) eventually dominates all primitive recursive functions.

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