Results 11 to 20 of about 43,460 (287)
Mathematics, 2020 Packing irregular 3D objects in a cuboid of minimum volume is considered. Each object is composed of a number of convex shapes, such as oblique and right circular cylinders, cones and truncated cones.
Alexander Pankratov +2 more
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Intrinsic Volumes of Polyhedral Cones: A combinatorial perspective [PDF]
, 2017 The theory of intrinsic volumes of convex cones has recently found striking applications in areas such as convex optimization and compressive sensing.
Amelunxen, Dennis, Lotz, Martin
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A note on Gordan's theorem over cone domains
International Journal of Mathematics and Mathematical Sciences, 1982 This note presents a proof of Gordan's Theorem over general closed, convex cone domains which follows in a natural way appealing to the standard definitions of closed convex cones and their respective polar cones.
Brad Skarpness, V. A. Sposito
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Covering functionals of cones and double cones
Journal of Inequalities and Applications, 2018 The least positive number γ such that a convex body K can be covered by m translates of γK is called the covering functional of K (with respect to m), and it is denoted by Γm(K) $\Gamma_{m}(K)$.
Senlin Wu, Ke Xu
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Mixed powerdomains for probability and nondeterminism [PDF]
Logical Methods in Computer Science, 2017 We consider mixed powerdomains combining ordinary nondeterminism and probabilistic nondeterminism. We characterise them as free algebras for suitable (in)equation-al theories; we establish functional representation theorems; and we show equivalencies ...
Klaus Keimel, Gordon D. Plotkin
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Analytic formulas for complete hyperbolic affine spheres [PDF]
, 2013 We classify all regular three-dimensional convex cones which possess an automorphism group of dimension at least two, and provide analytic expressions for the complete hyperbolic affine spheres which are asymptotic to the boundaries of these cones.
Hildebrand, Roland
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An abstract disintegration theorem [PDF]
, 1981 A Strassen-type disintegration theorem for convex cones with localized order structure is proved.
Fuchssteiner, Benno
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Homogeneous cones and abelian theorems
International Journal of Mathematics and Mathematical Sciences, 1998 This paper deals with analysis on homogeneous cones in ℝn. This subject has its origins in one-dimensional topics that are connected, often implicitely, with some group properties.
Tatjana Ostrogorski
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, 2013 Uncertainty models such as sets of desirable gambles and (conditional) lower previsions can be represented as convex cones. Checking the consistency of and drawing inferences from such models requires solving feasibility and optimization problems.
D. Avis +7 more
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Isoperimetric Inequalities for Convex Cones [PDF]
Proceedings of the American Mathematical Society, 1990 We present here an isoperimetric inequality for sets contained in a convex cone. Some applications to symmetrization problems and Sobolev inequalities are also indicated.
LIONS P. L., PACELLA, Filomena
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