Results 21 to 30 of about 850,517 (217)
SDP Duals without Duality Gaps for a Class of Convex Minimax Programs
, 2013 In this paper we introduce a new dual program, which is representable as a semi-definite linear programming problem, for a primal convex minimax programming model problem and show that there is no duality gap between the primal and the dual whenever the ...
Jeyakumar, V., Vicente-Perez, J.
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A convexity of functions on convex metric spaces of Takahashi and applications [PDF]
, 2015 We quickly review and make some comments on the concept of convexity in metric spaces due to Takahashi. Then we introduce a concept of convex structure based convexity to functions on these spaces and refer to it as $W-$convexity.
Abdelhakim, Ahmed A.
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Convex billiards on convex spheres
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2017 In this paper we study the dynamical billiards on a convex 2D sphere. We investigate some generic properties of the convex billiards on a general convex sphere. We prove that C^{\infty } generically, every periodic point is either hyperbolic or elliptic with irrational rotation number ...
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Ingénierie des systèmes d'information, 2006 In various approaches, data cubes are pre-computed in order to answer efficiently OLAP queries. The notion of data cube has been declined in various ways: iceberg cubes, range cubes or differential cubes. In this paper, we introduce the concept of convex cube which captures all the tuples of a datacube satisfying a constraint combination.
Sébastien Nedjar +3 more
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A partial differential equation for the rank one convex envelope
, 2017 In this article we introduce a Partial Differential Equation (PDE) for the rank one convex envelope. Rank one convex envelopes arise in non-convex vector valued variational problems \cite{BallElasticity, kohn1986optimal1, BallJames87 ...
Oberman, Adam M., Ruan, Yuanlong
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Entropy, 2010 Convex roof extensions are widely used to create entanglement measures in quantum information theory. The aim of the article is to present some tools which could be helpful for their treatment. Sections 2 and 3 introduce into the subject. It follows descriptions of the Wootters' method, of the "subtraction procedure", and examples on how to use ...
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Convex relaxations of componentwise convex functions
Computers & Chemical Engineering, 2019 Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil +2 more
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Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose Stereotactic radiotherapy (SRT) is a highly effective treatment with precision for small, localized lesions. Proton therapy, characterized by the Bragg peak, offers superior dose conformity compared to photon‐based approaches. However, challenges remain in minimizing lateral penumbra and optimizing dose delivery, particularly for small
Chen‐Yu Chou +3 more
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Cerebral Amyloid Angiopathy Is Associated With Higher R2 Relaxation Rate: An MRI and Pathology Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cerebral amyloid angiopathy (CAA) involves β‐amyloid deposition in the walls of cortical and leptomeningeal small vessels. Transverse relaxation rate (R2) is a major source of contrast in MRI. This study tested the hypothesis that CAA is associated with R2, extracted the spatial pattern of CAA‐related R2 abnormalities, and evaluated ...
Md Tahmid Yasar +6 more
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