Results 1 to 10 of about 1,298,708 (311)
Space of spaces as a metric space [PDF]
Communications in Mathematical Physics, 1999 In spacetime physics, we frequently need to consider a set of all spaces (`universes') as a whole. In particular, the concept of `closeness' between spaces is essential. However, there has been no established mathematical theory so far which deals with a
Seriu, Masafumi
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Quasi-metric and metric spaces [PDF]
Conformal Geometry and Dynamics of the American Mathematical Society, 2006 We give a short review of a construction of Frink to obtain a metric space from a quasi-metric space.
Schroeder, Viktor
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Statistical metric spaces [PDF]
Pacific Journal of Mathematics, 1960 Berthold Schweizer, A. Sklar
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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
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Probabilistic modular metric spaces [PDF]
Journal of Hyperstructures, 2020 The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah +1 more
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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
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(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
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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
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From metric spaces to partial metric spaces [PDF]
Fixed Point Theory and Applications, 2013 Let \((X,p)\) be a partial metric space and \(p^s(x,y):= 2p(x,y)-p(x,x)-p(y,y) \) the metric on \(X\) generated by \(p\). In this paper the authors study the following problems: If \(T:(X,p) \to (X,p) \) is a generalized contraction, which condition satisfies \(T\) with respect to \(p^s\)?
Samet, B +2 more
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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
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