Open AccessConstructing a hyperoperation sequence-pisa hyperoperations
Author(s) -
Alexander Andonov
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1031/1/012071
Subject(s) - sequence (biology) , base (topology) , extension (predicate logic) , connection (principal bundle) , context (archaeology) , computer science , real number , mathematics , arithmetic , combinatorics , programming language , geometry , geography , mathematical analysis , genetics , archaeology , biology
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.