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European Journal of Combinatorics
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European Journal of Combinatorics
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http://dx.doi.org/10.1016/S019...
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Isometric Embedding in lp-spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1990 English Publisher:Elsevier BVJournal:European Journal of Combinatorics, volume 11, pages 305-311 (issn: 0195-6698, Copyright policy )
Authors: Keith Ball;

doi: 10.1016/s0195-6698(13)80131-x

Isometric Embedding in lp-spaces

Abstract

We prove that every n-point subset of lp (1 ⩽ p ⩽ ∞) embeds isometrically into lpm, where lpm, and that for 1 ⩽ p < 2 this result is essentially best possible.

Keywords

Computational Theory and Mathematics, Geometry and Topology, Theoretical Computer Science

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 25
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
25
Top 10%
Top 10%
Average
hybrid