Results 11 to 20 of about 4,502,073 (308)
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 ...
Edvard I, Moser, May-Britt, Moser
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Interpreting the C-metric [PDF]
, 2006 The basic properties of the C-metric are well known. It describes a pair of causally separated black holes which accelerate in opposite directions under the action of forces represented by conical singularities.
P. Krtous (7160315) +2 more
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Multiembedding of Metric Spaces [PDF]
SIAM Journal on Computing, 2004 Metric embedding has become a common technique in the design of algorithms. Its applicability is often dependent on how high the embedding's distortion is. For example, embedding finite metric space into trees may require linear distortion as a function of its size.
Yair Bartal, Manor Mendel
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Compactness in Metric Spaces [PDF]
Formalized Mathematics, 2016 Summary In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definitions of metric spaces, norm spaces, and the real line. In the first section, we formalized general topological properties of metric spaces.
Nakasho, Kazuhisa +2 more
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Metrically round and sleek metric spaces
The Journal of Analysis, 2022 A round metric space is the one in which closure of each open ball is the corresponding closed ball. By a sleek metric space, we mean a metric space in which interior of each closed ball is the corresponding open ball. In this, article we establish some results on round metric spaces and sleek metric spaces.
Jitender Singh, T. D. Narang
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UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]
, 2014 In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
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On the topology of D‐metric spaces and generation of D‐metric spaces from metric spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 An example of a D‐metric space is given, in which D‐metric convergence does not define a topology and in which a convergent sequence can have infinitely many limits. Certain methods for constructing D‐metric spaces from a given metric space are developed and are used in constructing (1) an example of a D‐metric space in which D‐metric convergence ...
S. V. R. Naidu +2 more
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Banach Fixed Point Theorem in Extended bv(s)-Metric Spaces
Computer Sciences & Mathematics Forum, 2023 We define the class of extended bv(s)-metric spaces by replacing the real number s≥1 with a strictly increasing continuous function ϕ in the definition of a bv(s)-metric space.
Anil Kumar
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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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A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces
Mathematics, 2020 In this paper we consider a kind of Geraghty contractions by using mw-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples the results obtained.
Carmen Alegre +3 more
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