Results 91 to 100 of about 186 (132)
M-POLYSYMMETRICAL HYPERGROUPS, M-POLYSYMMETRICAL HYPERRINGS AND THEIR APPLICATIONS
, 1996 THE DISSERTATION CONTAINS AND TREATS THOROUGHLY A SPECIAL CASE OF THE ALGEBRAIC STRUCTURES. THIS CASE FORMS PART OF THE HYPERCOMPOSITIONAL STRUCTURES' CASE WHICH ARE BASED ON THE NOTION OF THE HYPEROPERATION.
Yatras, Constantinos +1 more
core +1 more source
On the Insufficiency of the Complex Field for Inverse Hyperoperations
The historical development of number systems has been driven by the need to establish closure under inverse operations. This paper investigates whether this pattern continues for the hyperoperation of tetration. We present a formal proof that the field of complex numbers, C, is not closed under the inverse operation of tetration (the super-root).
openaire +2 more sources
Exploring the Recursive and Inverse Structure of Hyperoperations
This paper explores the recursive and inverse behavior of hyperoperations, a hierarchy that extends exponentiation, tetration, and pentation to ever higher orders. While the structure of hyperoperations has long been known, their recursive formulation and inversion have not always been presented in a unified or general way.
openaire +1 more source
A novel study on the structure of left almost hypermodules. [PDF]
HeliyonAbughazalah N +3 more
europepmc +1 more source
M02 Zeration as the Floor and Attractor of the Hyperoperation Hierarchy
Warning! The updated version is available here, combining M01 and M02:https://doi.org/10.5281/zenodo.20406343***************************************This paper develops a rigorous foundation for zeration, identified as the rank‑0 hyperoperation H0(B;z)=z+1, and establishes it as the absorbing floor and global attractor of the hyperoperation ...
openaire +3 more sources
, 2008 We prove that the theory of coherent previsions by Bruno de Finetti can be framed in the theory of join systems, where a join system is a set with a hyperoperation satisfying a given set of “geometric” properties.
MATURO, Antonio
core
Tetration as Endogenous Recursion, Not Magnitude: Hyperoperations in Financial Markets
For a century, tetration has been understood as a way to produce very large numbers very fast. This paper demonstrates that tetration has a second identity: it is the recursive structure where the output of an exponential process modifies the operator of the next exponential process.
openaire +2 more sources
A Formal Representation of Video Content with the Picture Hyperoperation
Springer Proceedings in Mathematics and Statistics, 2017 A hyperoperation on the pixels of a two-dimensional picture is introduced and studied. In this setup pictures are defined as a specific type of rectangular graphs and the picture hyperoperation is given by virtue of the notion of the path inside such a picture.
Antonios Kalampakas +2 more
exaly +3 more sources
Hyperrings with n-ary composition hyperoperation
Journal of Algebra and Its Applications, 2018 Based on the concepts of composition ring and composition hyperring, in this note, we introduce the notion of [Formula: see text]-ary composition hyperring and study the connections with composition hyperrings. Moreover, we show that special strong multiendomorphisms of hyperrings can determine the [Formula: see text]-ary composition structure of a ...
Norouzi, Morteza, Cristea, Irina Elena
openaire +2 more sources