Results 21 to 30 of about 5,311,035 (359)
The biharmonic homotopy problem for unit vector fields on 2-tori [PDF]
arXiv, 2018 The bienergy of smooth maps between Riemannian manifolds, when restricted to unit vector fields, yields two different variational problems depending on whether one takes the full functional or just the vertical contribution. Their critical points, called
Loubeau, E., Markellos, M.
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The number of unit distances is almost linear for most norms [PDF]
arXiv, 2010 We prove that there exists a norm in the plane under which no n-point set determines more than O(n log n log log n) unit distances. Actually, most norms have this property, in the sense that their complement is a meager set in the metric space of all ...
Matoušek, Jiří
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The visual angle metric and quasiregular maps [PDF]
arXiv, 2015 The distortion of distances between points under maps is studied. We rst prove a Schwarz-type lemma for quasiregular maps of the unit disk involving the visual angle metric.
Gendi Wang, M. Vuorinen
semanticscholar +2 more sources
Critical review of the levelised cost of energy metric
South African Journal of Industrial Engineering, 2016 The purpose of this paper is to critically review the ‘levelised cost of energy’ metric used in electricity project development. This metric is widely used, because it is a simple metric to calculate the cost per unit of electricity for a given ...
M. Sklar-Chik, A. Brent, I. D. Kock
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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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Threshold units: A correct metric for reaction time? [PDF]
Vision Research, 2007 To compare reaction time (RT) to rod incremental and decremental stimuli expressed in physical contrast units or psychophysical threshold units.Rod contrast detection thresholds and suprathreshold RTs were measured for Rapid-On and Rapid-Off ramp stimuli.Threshold sensitivity to Rapid-Off stimuli was higher than to Rapid-On stimuli.
Zele, Andrew +2 more
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MathematicsDefining an adequate unit size is often crucial in brain imaging analysis, where datasets are complex, high-dimensional, and computationally demanding. Unit size refers to the spatial resolution at which brain data is aggregated for analysis.
Jihnhee Yu, H. R. Lee, Zohara Sternberg
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Well-separated pair decomposition for the unit-disk graph metric and its applications [PDF]
Symposium on the Theory of Computing, 2003 Jie Gao, Li Zhang
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Scalar curvature of a metric with unit volume
Mathematische Annalen, 1987 The problem of finding Riemannian metrics on a closed manifold with prescribed scalar curvature function is now fairly well understood from the works of Kazdan and Warner in 1970's ([10] and references cited in it). In this paper we shall consider the same problem under a constraint on the volume. For this purpose it is useful to introduce an invariant
Osamu Kobayashi, Osamu Kobayashi
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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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