Results 11 to 20 of about 234,437 (318)
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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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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Metric distributional discrepancy in metric space
Statistics and Its Interface, 2023 14 pages, 2 ...
Pan, Wenliang +4 more
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Fuzzy n−Controlled Metric Space
International Journal of Analysis and Applications, 2023 This manuscript consists of the idea of n−controlled metric space in fuzzy set theory to generalize a number of fuzzy metric spaces in the literature, for example, pentagonal, hexagonal, triple, and double controlled metric spaces and many other spaces ...
Salman Furqan +2 more
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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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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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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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Space of Spaces as a Metric Space [PDF]
Communications in Mathematical Physics, 2000 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 space of spaces in a suitable manner for spacetime physics.
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Partial b-Rectangular Metric Space with Some Results
Tikrit Journal of Pure Science, 2022 A new generalization of metric space called partial b-rectangular metric space is introduced. Also, the relation between this generalization and the other generalizations for example a b-rectangular metric space is given. Moreover, we have proved Banach
Noor Riyadh Adeeb
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