{"title":"A theorem on convex hulls","authors":"W. A. Horn","doi":"10.6028/jres.073b.030","DOIUrl":null,"url":null,"abstract":"Let p be a point in the interior KO of the convex hull K = K(S) of a bounded point-set S in a real Hilbert space. A quantity R (p) is determined such that every closed ball of radius > R (p) , if it con tains p, must also meet S.","PeriodicalId":166823,"journal":{"name":"Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1969-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6028/jres.073b.030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Let p be a point in the interior KO of the convex hull K = K(S) of a bounded point-set S in a real Hilbert space. A quantity R (p) is determined such that every closed ball of radius > R (p) , if it con tains p, must also meet S.
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