Results 1 to 10 of about 174,413 (165)
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
exaly +4 more sources
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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Critical Metrics and Curvature of Metrics with Unit Volume or Unit Area of the Boundary
The Journal of Geometric Analysis, 2022 32 pages. Comments are welcome! (added references, corrected typos)
Tiarlos Cruz, Almir Silva Santos
openaire +3 more sources
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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Hilbert Metric in the Unit Ball
Studia Scientiarum Mathematicarum Hungarica, 2023 The Hilbert metric between two points 𝑥, 𝑦 in a bounded convex domain 𝐺 is defined as the logarithm of the cross-ratio 𝑥, 𝑦 and the intersection points of the Euclidean line passing through the points 𝑥, 𝑦 and the boundary of the domain. Here, we study this metric in the case of the unit ball 𝔹𝑛.
Oona Rainio, Matti Vuorinen
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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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