Abstract
In this paper, we show that a ring of p-adic integers Zp can be used to represent subsets of a bounded number set. We propose an approach to define a set of p-adic balls. The union of their images is a subset of the bounded number set. The cover of the set of p-adic balls and the p-adic density of the subset of the bounded number set are defined. We also define the operations of p-adic intersection, union, and complement over sets of p-adic balls that can generate the corresponding algebra.
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Bocharnikov, V.P., Sveshnikov, S.V. p-Adic Representation of Subsets of a Bounded Number Set. Program Comput Soft 47, 225–234 (2021). https://doi.org/10.1134/S0361768821040022
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DOI: https://doi.org/10.1134/S0361768821040022