Results 51 to 60 of about 6,795,119 (352)
Known Results and Open Problems in Hypercomplex Convexity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 A subject, which is treated in this review, combines in one bundle some questions of convex, hypercomplex analysis, probability theory and geometry.
Zelinskii Yuri
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Guarding curvilinear art galleries with edge or mobile guards via 2-dominance of triangulation graphs [PDF]
, 2010 In this paper we consider the problem of monitoring an art gallery modeled as a polygon, the edges of which are arcs of curves, with edge or mobile guards. Our focus is on piecewise-convex polygons, i.e., polygons that are locally convex, except possibly
Avis +20 more
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About Directed d-Convex Simple Graphs [PDF]
Computer Science Journal of Moldova, 2008 In this article we introduce a pseudo-metric on directed graphs, which forms there a family of convex sets. The graphs without d-convex sets, except empty set, sets of one vertex and set of all vertexes, are called d-convex simple.
Nadejda Sur, Sergiu Cataranciuc
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Computation of the Hausdorff Distance between Two Compact Convex Sets
Algorithms, 2023 The Hausdorff distance between two closed sets has important theoretical and practical applications. Yet apart from finite point clouds, there appear to be no generic algorithms for computing this quantity.
Kenneth Lange
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Number of Spinal-Convex Polyominoes
Journal of Kufa for Mathematics and Computer, 2020 In his paper we describe a restricted class of polyominoes called spinal-convex polyominoes. Spinal-convex polyominoes created by two columns such that column 1 (respectively, column2) with at most two set columns sequence of adjacent ominoes and column ...
Mustafa A. Sabri, Eman F. Mohomme
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Weakly convex sets and modulus of nonconvexity [PDF]
, 2010 We consider a definition of a weakly convex set which is a generalization of the notion of a weakly convex set in the sense of Vial and a proximally smooth set in the sense of Clarke, from the case of the Hilbert space to a class of Banach spaces with ...
Aubin +20 more
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Dynamic Locomotion in the MIT Cheetah 3 Through Convex Model-Predictive Control
IEEE/RJS International Conference on Intelligent RObots and Systems, 2018 This paper presents an implementation of model predictive control (MPC) to determine ground reaction forces for a torque-controlled quadruped robot. The robot dynamics are simplified to formulate the problem as convex optimization while still capturing ...
J. Carlo +4 more
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Weak KAM aspects of convex Hamilton-Jacobi equations with Neumann type boundary conditions [PDF]
, 2009 We establish the stability under the formations of infimum and of convex combinations of subsolutions of convex Hamilton-Jacobi equations, some comparison and existence results for convex and coercive Hamilton-Jacobi equations with the Neumann type ...
Bardi +24 more
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Contractions of Convex Sets [PDF]
Proceedings of the American Mathematical Society, 1977 In this paper it is shown that, in a vector space over any ordered field, a noninfinitesimal contraction of a convex set K can be written as an intersection of translates of K.
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Proceedings of the American Mathematical Society, 1983 We construct a Choquet simplex K K such that there is a universally measurable affine function f f on K K , which satisfies the barycentric calculus, and is zero on the set of extreme points, but is not identically zero.
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