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An average distance result in Euclidean n-space

Published online by Cambridge University Press:  17 April 2009

John Strantzen
John Strantzen
Affiliation:
Department of Pure Mathematics, La Trobe University, Bundoora, Victoria 3083, Australia.
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The following result has been established by Stadje and Gross:

THEOREM. If 〈X, d〉 is a compact connected metric space, then there is a unique positive real number a(〈X, d〉) with the property that for each natural number n, and for all {x1, x2, …, xn} ⊂ X, there exists y ∈ X for which

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 3 , December 1982 , pp. 321 - 330
Copyright
Copyright © Australian Mathematical Society 1982

References

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