On the Maximum of the Sum of Squared Distances Under a Diameter Constraint

DOI10.2307/2319046zbMath0297.52011OpenAlexW4235872705WikidataQ56267166 ScholiaQ56267166MaRDI QIDQ4051234

H. S. Witsenhausen

Publication date: 1974

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2319046

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (8)

Distributions of points on non-extensible closed curves in \(\mathbb{R}^3\) realizing maximum energies ⋮ The small hexagon and heptagon with maximum sum of distances between vertices ⋮ On the optimal interpoint distance sum inequality ⋮ On the sum of distances along a circle ⋮ Computational geometric aspects of rhythm, melody, and voice-leading ⋮ Extremal Problems of Distance Geometry Related to Energy Integrals ⋮ Averaging distances in real quasihypermetric Banach spaces of finite dimension ⋮ Convergence in a Multidimensional Randomized Keynesian Beauty Contest

This page was built for publication: On the Maximum of the Sum of Squared Distances Under a Diameter Constraint