Results 31 to 40 of about 5,311,035 (359)
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
doaj +1 more source
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
doaj +1 more source
Cusps and the family hyperbolic metric [PDF]
, 2007 The hyperbolic metric for the punctured unit disc in the Euclidean plane is singular at the origin. A renormalization of the metric at the origin is provided by the Euclidean metric. For Riemann surfaces there is a unique germ for the isometry class of a
Wolpert, Scott A.
core +5 more sources
MUTT: Metric Unit TesTing for Language Generation Tasks
Annual Meeting of the Association for Computational Linguistics, 2016 Precise evaluation metrics are important for assessing progress in high-level language generation tasks such as machine translation or image captioning. Historically, these metrics have been evaluated using correlation with human judgment. However, human-
William Boag +3 more
semanticscholar +1 more source
Quantized Gromov-Hausdorff distance [PDF]
, 2005 A quantized metric space is a matrix order unit space equipped with an operator space version of Rieffel's Lip-norm. We develop for quantized metric spaces an operator space version of quantum Gromov-Hausdorff distance.
Wu, Wei
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Generalized Ricci solitons and Einstein metrics on weak K-contact manifolds
Communications in Analysis and Mechanics, 2023 We study so-called "weak" metric structures on a smooth manifold, which generalize the metric contact and $ K $-contact structures and allow a new look at the classical theory.
Vladimir Rovenski
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Another extension of the disc algebra [PDF]
, 2010 We identify the complex plane C with the open unit disc D={z:|z| z/(1+|z|). This leads to a compactification $\bar{C}$ of C, homeomorphic to the closed unit disc. The Euclidean metric on the closed unit disc induces a metric d on $\bar{C}$.
Carleson L +3 more
core +1 more source
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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Passive Radar at the Roadside Unit to Configure Millimeter Wave Vehicle-to-Infrastructure Links [PDF]
IEEE Transactions on Vehicular Technology, 2019 Millimeter wave (mmWave) vehicular channels are highly dynamic, and the communication link needs to be reconfigured frequently. In this work, we propose to use a passive radar receiver at the roadside unit to reduce the training overhead of establishing ...
Anum Ali +2 more
semanticscholar +1 more source