Numerical Geometry-Numbers for Shapes

DOI10.2307/2323675zbMath0598.51014OpenAlexW4231146092MaRDI QIDQ3732453

Joan Cleary, David Yost, Sidney A. Morris

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2323675

zbMATH Keywords

surveyGross' theoremarithmetic mean of distancesdispersion number

Mathematics Subject Classification ID

General theory of distance geometry (51K05)

Related Items (20)

Maximum average distance in complex finite dimensional normed spaces ⋮ On some constants in Banach spaces ⋮ Positive definiteness and the Stolarsky invariance principle ⋮ The average distance property for subsets of Euclidean space ⋮ DISTANCE GEOMETRY IN QUASIHYPERMETRIC SPACES. I ⋮ On the average distance property in finite dimensional real Banach spaces ⋮ On the average distance property and certain energy integrals ⋮ ON A NEW PROOF OF DURIER'S THEOREM ⋮ Average distance constants for polygons in spaces with non-positive curvature ⋮ Sums of distances on graphs and embeddings into Euclidean space ⋮ Curvature on graphs via equilibrium measures ⋮ $q$-analogue triangular numbers and distance geometry ⋮ Linear model theory for Lipschitz structures ⋮ Averaging distances in finite dimensional normed spaces and John’s ellipsoid ⋮ Potential theoretic approach to rendezvous numbers ⋮ A maximal Gross-Stadje number in the Euclidean plane ⋮ Rendezvous numbers in normed spaces ⋮ Averaging distances in real quasihypermetric Banach spaces of finite dimension ⋮ The average distance property of classical Banach spaces ⋮ On the average distance property of spheres in Banach spaces

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