Results 31 to 40 of about 399,123 (289)
The convex hull of a planar random walk : perimeter, diameter, and shape. [PDF]
, 2018 We study the convex hull of the first n steps of a planar random walk, and present large-n asymptotic results on its perimeter length Ln, diameter Dn, and shape. In the case where the walk has a non-zero mean drift, we show that Ln=Dn !
James McRedmond, A. Wade
semanticscholar +1 more source
The limit shape of convex hull peeling [PDF]
Duke mathematical journal, 2018 We prove that the convex peeling of a random point set in dimension d approximates motion by the 1/(d + 1) power of Gaussian curvature. We use viscosity solution theory to interpret the limiting partial differential equation. We use the Martingale method
J. Calder, Charles K. Smart
semanticscholar +1 more source
Hildebrandt's theorem for the essential spectrum [PDF]
Opuscula Mathematica, 2015 We prove a variant of Hildebrandt's theorem which asserts that the convex hull of the essential spectrum of an operator \(A\) on a complex Hilbert space is equal to the intersection of the essential numerical ranges of operators which are similar to \(A\
Janko Bračič, Cristina Diogo
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Parameter Identification of Bivariate Fractal Interpolation Surfaces by Using Convex Hulls
Mathematics, 2023 The scope of this article is to identify the parameters of bivariate fractal interpolation surfaces by using convex hulls as bounding volumes of appropriately chosen data points so that the resulting fractal (graph of) function provides a closer fit ...
Vasileios Drakopoulos +3 more
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mRMR-Tri-ConcaveHull Detector for Floating Small Targets in Sea Clutter
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023 For the feature-based detector of small targets in sea clutter, on the one hand, the three-dimensional convex hull-based detector deviates from the distribution of sea clutter vectors in the feature space and only combines the information of low ...
Yanling Shi, Yuefeng Hu
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An Extended Integral Unit Commitment Formulation and an Iterative Algorithm for Convex Hull Pricing
IEEE Transactions on Power Systems, 2019 To increase market transparency, independent system operators (ISOs) have been working on minimizing uplift payments based on convex hull pricing theorems.
Yanan Yu, Yongpei Guan, Yonghong Chen
semanticscholar +1 more source
Error Analysis of the Convex Hull Method for the Solution of the Distribution System Security Region
EnergiesThe convex hull method is a common approach for the solution of the distribution system security region (DSSR). For the first time, this paper identifies that this method is not applicable to solve many DSSRs.
Jun Xiao, Lixing Wang, Yupeng Zhou
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Advanced Healthcare Materials, EarlyView.Porosity governs transport mechanics in hydrogels, yet characterization in its native state remains challenging. This work harnesses particle tracking to uncover three‐dimensional pore geometric features in polyethylene glycol hydrogels. Measurements in the native state reveal pores characteristics are comparable to those obtained by cryogenic scanning
M. A. Kristine Tolentino +5 more
wiley +1 more source
Journal of Algorithms & Computational Technology, 2009 An Isomorphic Fundamental Theorem of the Convex Hull Construction is given and proved. A representative serial algorithm convex hull with half-dividing and recurrence is commented as compared example.
Zhou Qihai
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Driving Micro‐Objects Using Optical Force due to Fluorescence Emission From Molecules
Advanced Optical Materials, EarlyView.Emission of fluorescence from a micro‐object in a specific direction is expected to generate an optical force driving the object in the opposite direction of the emission, like a rocket. To demonstrate this ‘photon‐driven micro‐rocket’, we prepared dye‐doped polymer micro‐object (PMO) one surface of which was covered with metallic film; the PMO ...
Syoji Ito +5 more
wiley +1 more source