Results 21 to 30 of about 115,388 (320)
Semidefinite descriptions of the convex hull of rotation matrices [PDF]
, 2014 We study the convex hull of $SO(n)$, thought of as the set of $n\times n$ orthogonal matrices with unit determinant, from the point of view of semidefinite programming. We show that the convex hull of $SO(n)$ is doubly spectrahedral, i.e. both it and its
Parrilo, Pablo A. +2 more
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Assessment of Postural Sway Area in Single-Leg Balance: A Comparative Analysis of Center-of-Pressure Area Metrics with the Convex Hull approach [PDF]
운동과학PURPOSE Quantifying postural control using Center-of-Pressure (COP) data obtained from a force plate is commonly used in balance assessments, yet the sensitivity of various sway area metrics remains unclear.
Seung-Hee Nam, Kyung-Min Kim
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Effect of Performance of Soil Cultivator with Different Surface Textures of Shovel Wing
Agriculture, 2021 Cultivating the soil is a necessary measure to ensure the growth of potatoes, and it has a significant impact on potato yield. In this study, a soil cultivator with a textured shovel wing was designed to address the problem that soil cultivators have ...
Ming Wang +4 more
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Energy Reports, 2022 Robust optimization is a practical and effective mathematical framework for coping with uncertainty in the transmission expansion planning (TEP) process, while computing the full convex hull is an outstanding data-driven means of searching for robust ...
Xin Yin +3 more
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Set Estimation Under Biconvexity Restrictions
, 2020 A set in the Euclidean plane is said to be biconvex if, for some angle $\theta\in[0,\pi/2)$, all its sections along straight lines with inclination angles $\theta$ and $\theta+\pi/2$ are convex sets (i.e, empty sets or segments). Biconvexity is a natural
Cholaquidis, Alejandro, Cuevas, Antonio
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"Convex" characterization of linearly convex domains [PDF]
, 2011 We prove that a $C^{1,1}$-smooth bounded domain $D$ in $\C^n$ is linearly convex if and only if the convex hull of any two discs in $D$ with common center lies in $D.$Comment: to appear in Math.
Nikolov, Nikolai, Thomas, Pascal J.
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IEEE Access, 2019 For the feature tensor of multi-sensor signals classification problem in gear intelligent fault diagnosis, a new tensor classifier named nearest neighbor convex hull tensor classification (NNCHTC) is proposed in this paper.
Zhengyang Cheng, Rongji Wang
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Discrete MathematicsA \emph{thrackle} is a graph drawn in the plane so that every pair of its edges meet exactly once, either at a common end vertex or in a proper crossing. Conway's thrackle conjecture states that the number of edges is at most the number of vertices. It is known that this conjecture holds for linear thrackles, i.e., when the edges are drawn as straight ...
Balázs Keszegh, Dániel Simon
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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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Facets of a mixed-integer bilinear covering set with bounds on variables
, 2019 We derive a closed form description of the convex hull of mixed-integer bilinear covering set with bounds on the integer variables. This convex hull description is determined by considering some orthogonal disjunctive sets defined in a certain way.
Mahajan, Ashutosh, Rahman, Hamidur
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