Results 111 to 120 of about 1,082,995 (200)

Metric dimension of metric and ultrametric spaces

open access: yes, 2021
У дисертаційній роботі розглянуто задачу пошуку метричної розмірності для скінченних ультраметричних просторів, а також описано метричну розмірність для деяких конструкцій метричних просторів з умовами скінченності.
Пономарчук, Богдан
core  

Uniqueness and homogeneity of non-separable Urysohn universal ultrametric spaces

open access: yes, 2023
Urysohn constructed a separable complete universal metric space homogeneous for all finite subspaces, which is today called the Urysohn universal metric space. Some authors have recently investigated an ultrametric analogue of this space.
Ishiki, Yoshito
core  

Guarded Language Operators as Contractions in a Length-Based Ultrametric Space

open access: yesMathematics
We study a class of wrapping operators acting on the space of formal languages over a fixed finite alphabet. The underlying space is equipped with a length-based ultrametric, in which two languages are close whenever they coincide on all sufficiently ...
Hristo Hristov   +3 more
doaj   +1 more source

Hyperstability of cubic functional equation in ultrametric spaces

open access: yes, 2017
In this paper, we present the hyperstability results of cubic functional equations in ultrametric Banach ...
Almahalebi, Muaadh   +2 more
core   +1 more source

Ultrametric Structures and Norm-Based p-Adic Operations for Hierarchical and Robust Information Processing

open access: yesMathematics
In this article, we propose a non-archimedean framework for information processing based on the arithmetic and geometry of p-adic numbers. Exploiting the ultrametric structure of Qp, we introduce norm-based p-adic operations inspired by classical logical
Anselmo Torresblanca-Badillo
doaj   +1 more source

Metric dimension of ultrametric spaces

open access: yes, 2020
For an arbitrary finite metric space \((X,d)\) a subset \(A\), \(A \subset X\), is called a resolving set if for any two points \(x\) and \(y\) from the space \(X\) there is an element \(a\) from subset \(A\), such that  distances \(d(a,x)\) and \(d(
Oliynyk, Bogdana, Ponomarchuk, Bogdan
core  

On spaces of *-measures on ultrametric spaces

open access: yesVisnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna, 2020
Khrystyna Sukhorukova   +1 more
openaire   +2 more sources

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