Results 11 to 20 of about 254,738 (273)
Convex hull estimation of mammalian body segment parameters
Royal Society Open Science, 2021 Obtaining accurate values for body segment parameters (BSPs) is fundamental in many biomechanical studies, particularly for gait analysis. Convex hulling, where the smallest-possible convex object that surrounds a set of points is calculated, has been ...
Samuel J. Coatham +2 more
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Bounding Regions to Plane Steepest Descent Curves of Quasiconvex Families [PDF]
Journal of Applied Mathematics, 2016 Two-dimensional steepest descent curves (SDC) for a quasiconvex family are considered; the problem of their extensions (with constraints) outside of a convex body K is studied.
Marco Longinetti +2 more
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The heart of a convex body [PDF]
, 2012 We investigate some basic properties of the {\it heart} $\heartsuit(\mathcal{K})$ of a convex set $\mathcal{K}.$ It is a subset of $\mathcal{K},$ whose definition is based on mirror reflections of euclidean space, and is a non-local object.
C. Carstensen +19 more
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Quantum algorithms and lower bounds for convex optimization [PDF]
Quantum, 2020 While recent work suggests that quantum computers can speed up the solution of semidefinite programs, little is known about the quantum complexity of more general convex optimization.
Shouvanik Chakrabarti +3 more
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Discrete & Computational Geometry, 2022 AbstractIn this paper we study the fiber bodies, that is the extension of the notion of fiber polytopes for more general convex bodies. After giving an overview of the properties of the fiber bodies, we focus on three particular classes of convex bodies. First we describe the strict convexity of the fiber bodies of the so called puffed polytopes.
Léo Mathis, Chiara Meroni
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Existence of Gauss John ellipsoid operator problem [PDF]
ITM Web of Conferences, 2022 There is a common example in convex geometry and Banach space geometry: the unique ellipsoid with the largest volume associated with each symmetric convex body K is called John ellipsoid.
Yu Li’ao, Zou Du
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THE CONVEX INTERSECTION BODY OF A CONVEX BODY [PDF]
Glasgow Mathematical Journal, 2011 AbstractLet L be a convex body in n and z an interior point of L. We associate with L and z a new, convex and centrally symmetric, body CI(L, z). This generalizes the classical intersection bodyI(L, z) (whose radial function at u ∈ Sn−1 is the volume of the hyperplane section of L through z, orthogonal to u). CI(L, z) coincides with I(L, z) if and only
Meyer, Mathieu, Reisner, Shlomo
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Energies, 2022 The surface morphology of fractures formed by hydraulic fracturing is usually rough. The roughness of the fracture surface is the main reason the actual fracture conductivity deviates from the ideal flat plate model result.
Qiqi Wang, Mian Chen, Jiaxin Lv
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Scaling of convex hull volume to body mass in modern primates, non-primate mammals and birds. [PDF]
PLoS ONE, 2014 The volumetric method of 'convex hulling' has recently been put forward as a mass prediction technique for fossil vertebrates. Convex hulling involves the calculation of minimum convex hull volumes (vol(CH)) from the complete mounted skeletons of modern ...
Charlotte A Brassey, William I Sellers
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Ellipses surrounding convex bodies
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 If, for a double normal xx* of a convex body K, an ellipse E ∋ x, x* is included in K, we say that E is surrounded by the boundary of K. If, instead, in the plane of E, K is included in the convex hull of E, then we say that E is surrounding K.
Zamfirescu Tudor
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