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p-Adic Representation of Subsets of a Bounded Number Set
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Journal Article
p-Adic Representation of Subsets of a Bounded Number Set
2021
Overview
In this paper, we show that a ring of p-adic integers
Z
p
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.
Publisher
Pleiades Publishing,Springer Nature B.V
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