Results 1 to 10 of about 158,066 (263)
A Class of New Metrics for n-Dimensional Unit Hypercube [PDF]
Journal of Applied Mathematics, 2013 We study the metric on the n-dimensional unit hypercube. We introduce a class of new metrics for the space, which is information theoretically motivated and has close relation to Jensen-Shannon divergence.
Guoxiang Lu
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Wasserstein‐metric‐based distributionally robust optimization method for unit commitment considering wind turbine uncertainty [PDF]
Engineering Reports, 2023 The penetration of wind turbines in the power grid is increasing rapidly. Still, the wind turbine output power has uncertainty, leading to poor grid reliability, affecting the grid's dispatching plan, and increasing the total cost.
Gengrui Chen +5 more
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Unit Cells in Space or Spaces for Unit Cells [PDF]
Structural DynamicsCrystallographers think about unit cells as 3 lengths and 3 angles. In other words, as 6 numbers,often in a row. But in order to talk about the relationships between unit cells, we need to know where they are in the space of unit cells, whatever that is.
Lawrence C Andrews, Herbert J Bernstein
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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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