Results 1 to 10 of about 642,002 (220)
Quasi-metric and metric spaces [PDF]
arXiv, 2006 We give a short review of a construction of Frink to obtain a metric space from a quasi-metric space. By an example we illustrate the limits of the construction.
arxiv +6 more sources
arXiv, 2005 A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with classical metric spaces, the conception of multi-metric space is introduced. Some characteristics of a multi-metric space are obtained and Banach's fixed-point theorem is generalized in this paper.
arxiv +6 more sources
An interpolation of metrics and spaces of metrics [PDF]
arXiv, 2020 As a generalization of Hausdorff's extension theorem of metrics, we prove an interpolation theorem of a family of metrics defined on closed subsets of metrizable spaces. As an application, we investigate typicality of subsets of moduli spaces of metrics.
arxiv +3 more sources
Statistical metric spaces [PDF]
Pacific Journal of Mathematics, 1960 Berthold Schweizer, A. Sklar
openalex +4 more sources
Fuzzy metric topology space and manifold [PDF]
Journal of Fuzzy Extension and Applications, 2023 This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
doaj +1 more source
Pointwise k-Pseudo Metric Space
Mathematics, 2021 In this paper, the concept of a k-(quasi) pseudo metric is generalized to the L-fuzzy case, called a pointwise k-(quasi) pseudo metric, which is considered to be a map d:J(LX)×J(LX)⟶[0,∞) satisfying some conditions.
Yu Zhong, Alexander Šostak, Fu-Gui Shi
doaj +1 more source
Neutrosophic metric spaces [PDF]
Mathematical Sciences, 2020 In present paper, the definition of new metric space with neutrosophic numbers is given. Several topological and structural properties have been investigated. The analogues of Baire Category Theorem and Uniform Convergence Theorem are given for Neutrosophic metric spaces.
Murat Kirişci, Necip Şimşek
openaire +4 more sources
The Duality of Similarity and Metric Spaces
Applied Sciences, 2021 We introduce a new mathematical basis for similarity space. For the first time, we describe the relationship between distance and similarity from set theory. Then, we derive generally valid relations for the conversion between similarity and a metric and
Ondřej Rozinek, Jan Mareš
doaj +1 more source
Hippocampus, 2008 AbstractNot all areas of neuronal systems investigation have matured to the stage where computation can be understood at the microcircuit level. In mammals, insights into cortical circuit functions have been obtained for the early stages of sensory systems, where signals can be followed through networks of increasing complexity from the receptors to ...
May-Britt Moser, Edvard I. Moser
openaire +3 more sources
(L,M)-Fuzzy k-Pseudo Metric Space
Mathematics, 2022 Recently, the notion of a classical k-metric, which make the triangle inequality to a more general axiom: d(x,z)≤k(d(x,y)+d(y,z)), has been presented and is applied in many fields.
Yu Zhong +3 more
doaj +1 more source