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Claim

A countable set of directions is sufficient for Steiner symmetrization

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2011Embargo end date: 01 Jan 2011 Italy English Publisher:Elsevier BVJournal:Advances in Applied Mathematics, volume 47, pages 869-873 (issn: 0196-8858, Copyright policy )
Authors: Gabriele Bianchi; Daniel A. Klain; Erwin Lutwak; Deane Yang; Gaoyong Zhang;

doi: 10.1016/j.aam.2011.04.005 , 10.48550/arxiv.1105.0400

arXiv: 1105.0400

handle: 2158/452453

A countable set of directions is sufficient for Steiner symmetrization

Abstract

A countable dense set of directions is sufficient for Steiner symmetrization, but the order of directions matters.

6 pages

Country
Italy
Related Organizations
Keywords

Mathematics - Metric Geometry, Applied Mathematics, Inequalities and extremum problems involving convexity in convex geometry, FOS: Mathematics, Metric Geometry (math.MG), 52A20, Steiner symmetrization, Convex sets in \(n\) dimensions (including convex hypersurfaces), convex body

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    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).
    		 15
    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.
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selected citations
These citations are derived from selected sources.
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!
15
Top 10%
Top 10%
Top 10%
Green
hybrid