HEIR
发表于 2025-3-21 19:03:11
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moribund
发表于 2025-3-21 21:03:43
Closing Remarks,We have defined two generalizations of convexity in higher dimensions, called O-convexity and strong O-convexity, and investigated their properties. We conclude with a summary of the main results (Sect. 7.1), related conjectures (Sect. 7.2), and directions for future research (Sect. 7.3).
温和女人
发表于 2025-3-22 01:22:15
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诙谐
发表于 2025-3-22 07:10:17
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轻弹
发表于 2025-3-22 09:41:39
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天赋
发表于 2025-3-22 13:48:57
Computational Problems,ernels, and identifying the regions visible from a given point. Researchers addressed the analogous standard-convexity problems in the early days of computational geometry; for example, consult the text of Preparata and Shamos . They also developed similar techniques for several types of non-traditional convexity, including planar O-convexity.
稀释前
发表于 2025-3-22 20:52:13
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aesthetician
发表于 2025-3-22 22:21:32
Generalized Halfspaces, them with standard halfspaces (Sect. 5.1). Then, we define directed O-halfspaces, which are a subclass of O-halfspaces with several special properties (Sect. 5.2). Finally, we characterize O-halfspaces in terms of their boundaries (Sect. 5.3) and complements (Sect. 5.4).
动作谜
发表于 2025-3-23 03:20:11
Strong Convexity,ve a condition for the equivalence of two orientation sets (Sect. 6.2). Finally, we study strongly O-convex halfspaces and characterize strongly O-convex sets through halfspace intersections (Sect. 6.3).
刺激
发表于 2025-3-23 05:46:05
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