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1. Random approximation and the vertex index of convex bodies

作者： Silouanos Brazitikos ; Giorgos Chasapis ; Labrini Hioni

关键词：Convex bodies ; Isotropic position ; Centroid bodies ; Random polytopal approximation

刊名：Archiv der Mathematik

出版年：2017

2. Quantitative Helly-Type Theorem for the Diameter of Convex Sets

作者： Silouanos Brazitikos

关键词：Convex bodies ; Helly’s theorem ; Approximate John’s decomposition ; Polytopal approximation

刊名：Discrete & Computational Geometry

出版年：2017

3. The Number of Holes in the Union of Translates of a Convex Set in Three Dimensions

作者： Boris Aronov ; Otfried Cheong ; Michael Gene Dobbins…

关键词：Union complexity ; Convex sets ; Motion planning

刊名：Discrete & Computational Geometry

出版年：2017

4. Semidefinite Approximations of Conical Hulls of Measured Sets

作者： Julián Romero ; Mauricio Velasco

关键词：Approximation of convex bodies ; Spectrahedra ; SDr sets

刊名：Discrete & Computational Geometry

出版年：2017

5. Necessary and sufficient KKT optimality conditions in non-convex optimization

作者： Quyen Ho

关键词：Convex optimization ; Slater’s condition ; Level set ; Karush–Kuhn–Tucker optimality conditions

刊名：Optimization Letters

出版年：2017

6. Voronoi Diagram for Convex Polygonal Sites with Convex Polygon-Offset Distance Function

关键词：Polygon ; offset distance function ; Nearest ; site Voroni diagram ; Farthest ; site Voroni diagram ; Convex polygonal sites ; Line segments

刊名：Lecture Notes in Computer Science

出版年：2017

7. Generating and Enumerating Digitally Convex Sets of Trees

作者： Philip Lafrance ; Ortrud R. Oellermann ; Timothy Pressey

关键词：Properties of digitally convex sets ; Generating digitally convex sets of trees ; Bounds for the number of digitally convex sets of trees ; Enumerating digitally convex sets of cographs in linear time

刊名：Graphs and Combinatorics

出版年：2016

8. Differential Equations for Closed Sets in a Banach Space

作者： Thomas Lorenz

关键词：Evolution inclusion in a Banach space ; Reachable set ; Integral funnel equation ; Morphological equation ; Set differential equation ; Set evolution equation

刊名：Vietnam Journal of Mathematics

出版年：2017

9. Every discrete 2D autonomous system admits a finite union of parallel lines as a characteristic set

作者： Debasattam Pal

关键词：2D systems ; Characteristic sets ; Algebraic methods

刊名：Multidimensional Systems and Signal Processing

出版年：2017

10. A new approach for training Lagrangian twin support vector machine via unconstrained convex minimization

作者： S. Balasundaram ; Deepak Gupta ; Subhash Chandra Prasad

关键词：Generalized Hessian approach ; Smooth approximation formulation ; Twin support vector machine

刊名：Applied Intelligence

出版年：2017

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