Local critical analysis of inequalities related to the sum of distances between \(n\) points on the unit hemisphere for \(n=4,5\)

DOI10.1007/s10472-023-09880-zMaRDI QIDQ6144991

Zhenbing Zeng, Yaochen Xu, Yuzheng Wang, Jian Lu, Liangyu Chen

Publication date: 8 January 2024

Published in: Annals of Mathematics and Artificial Intelligence (Search for Journal in Brave)

zbMATH Keywords

inequalitycomputational geometryglobal search algorithmlocal critical analysis

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Inequalities and extremum problems involving convexity in convex geometry (52A40)

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• Optimizing the Arrangement of Points on the Unit Sphere
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• An Extremal Problem for Polygons Inscribed in a Convex Curve
• On the sum of distances betweenn points on a sphere
• A Property of a Triangle Inscribed in a Convex Curve

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