Results 1 to 10 of about 163,567 (144)
Order-unit-metric spaces [PDF]
Positivity, 2013 We study the concept of cone metric space in the context of ordered vector spaces by setting up a general and natural framework for it.
Çağlar, Mert, Ercan, Zafer
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On the H.-Q. Li inequality on step-two Carnot groups
Comptes Rendus. Mathématique, 2023 In this note we show that the gradient estimate of the heat semigroup, or more precisely the H.-Q. Li inequality, is preserved under tensorization, some suitable group epimorphism, and central sum. We also establish the Riemannian counterpart of the H.-Q.
Zhang, Ye
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Fault-tolerance in metric dimension of boron nanotubes lattices
Frontiers in Computational Neuroscience, 2023 The concept of resolving set and metric basis has been very successful because of multi-purpose applications both in computer and mathematical sciences.
Zafar Hussain, Muhammad Mobeen Munir
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Asymptotically Mean Value Harmonic Functions in Doubling Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2022 We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and in doubling metric measure spaces.
Adamowicz Tomasz +2 more
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Spheres and Tori as Elliptic Linear Weingarten Surfaces
Mathematics, 2022 The linear Weingarten condition with ellipticity for the mean curvature and the extrinsic Gaussian curvature on a surface in the three-sphere can define a Riemannian metric which is called the elliptic linear Weingarten metric.
Dong-Soo Kim, Young Ho Kim, Jinhua Qian
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A novel approach to correcting attribution of Clostridioides difficile in a healthcare setting
Antimicrobial Stewardship & Healthcare Epidemiology, 2023 Objective: To describe a novel attribution metric estimating the causal source location of healthcare-associated Clostridioides difficile and compare it with the current US National Healthcare Safety Network (NHSN) surveillance reporting standard ...
Hunter Doyle +6 more
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On sets with unit Hausdorff density in homogeneous groups
Forum of Mathematics, Sigma, 2023 It is a longstanding conjecture that given a subset E of a metric space, if E has unit $\mathscr {H}^{\alpha }\llcorner E$ -density almost everywhere, then E is an $\alpha $ -rectifiable set. We prove this conjecture under the assumption that
Antoine Julia, Andrea Merlo
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Journal of Marine Science and Engineering, 2021 To secure technological competitiveness in shipbuilding and offshore industries, the continuous application and development of various technologies is essential.
Won-Seok Choi +4 more
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On Non-Archimedean $\mathcal{L}$-Fuzzy Vector Metric Spaces
Journal of New Theory, 2023 This paper contributes to the broader studies of fuzzy vector metric spaces and fuzzy metric spaces based on order structures beyond the unit interval.
Şehla Eminoğlu
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The Quaternionic Hardy Space and the Geometry of the Unit Ball
Bruno Pini Mathematical Analysis Seminar, 2015 The quaternionic Hardy space of slice regular functions H2(B) is a reproducing kernel Hilbert space. In this note we see how this property can be exploited to construct a Riemannian metric on the quaternionic unit ball B and we study the geometry arising
Giulia Sarfatti
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