Constructing a hyperoperation sequence-pisa hyperoperations

In the context of other hyperoperation sequences, a new sequence of operations is constructed. A review of its properties reveals dependences between pairs of numbers, and so the sibling numbers are established. Two theorems are proven and the connection to small base tetration is revealed. The prob...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2021-01, Vol.1031 (1), p.12071
Main Author: Andonov, A P
Format: Article
Language:English
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Summary:In the context of other hyperoperation sequences, a new sequence of operations is constructed. A review of its properties reveals dependences between pairs of numbers, and so the sibling numbers are established. Two theorems are proven and the connection to small base tetration is revealed. The problem of extending the sequence to real levels is considered and linked to tetration height extension. The pisa operations can be a useful tool for exploring tetration and large numbers.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/1031/1/012071