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Hyperoperation

In mathematics, the hyperoperation sequence is an infinite sequence of arithmetic operations (called hyperoperations in this context) that starts with a unary operation (the successor function with n = 0). The sequence continues with the binary operations of addition (n = 1), multiplication (n = 2), and exponentiation (n = 3). After that, the sequence…

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Overview

Definition

Examples

History

Notations

Numeration systems based on the hyperoperation sequence

  • 266 266 (number)

Computation

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Map overview Semantic statistics

Hyperoperation

Nodes46
Edges45
Triples41
Avg. degree1.96
Density0.043478
Components1

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Hyperoperation

Top relations

related to history · 11
Hyperoperation → About, Ackermann, Albert Bennett, As, Commutative, Goodstein, Greek, In, One, Reuben Goodstein, Wilhelm Ackermann
related to Variant starting from 0 · 7
Hyperoperation → Clenshaw, In, Just, Olver, Since, Since Hn, While
related to Variant starting from a · 7
Hyperoperation → Ackermann, Also, Another, In, Rózsa Péter, The, Wilhelm Ackermann
related to Definition · 5
Hyperoperation → For, In, Just, Likewise, The
related to Commutative hyperoperations · 3
Hyperoperation → Albert Bennett, Commutative, This
related to Computation · 2
Hyperoperation → The, TRS
related to Lower hyperoperations · 2
Hyperoperation → An, Since
related to TRS based on definition sub 1.1 · 2
Hyperoperation → The, To
related to Examples · 1
Hyperoperation → Below
related to Notations · 1
Hyperoperation → This

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Important terminology

displaystyle sequence exponentiation hyperoperations tetration operations function addition multiplication notation defined recursion rules also phi according ackermann beyond using rule

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hyperoperationrelated to Commutative hyperoperationsCommutative0.60section
Hyperoperationrelated to Commutative hyperoperationsAlbert Bennett0.60section
Hyperoperationrelated to Commutative hyperoperationsThis0.60section
Hyperoperationrelated to ComputationThe0.60section
Hyperoperationrelated to ComputationTRS0.60section
Hyperoperationrelated to DefinitionThe0.60section
Hyperoperationrelated to DefinitionFor0.60section
Hyperoperationrelated to DefinitionJust0.60section
Hyperoperationrelated to DefinitionLikewise0.60section
Hyperoperationrelated to DefinitionIn0.60section
Hyperoperationrelated to ExamplesBelow0.60section
Hyperoperationrelated to historyOne0.60section

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    Min side: 3
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