关于凸包的一个定理

Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences Pub Date : 1969-10-01 DOI:10.6028/jres.073b.030

W. A. Horn

{"title":"关于凸包的一个定理","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":"{\"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}","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

摘要

设p为实数Hilbert空间中有界点集S的凸包K = K(S)的内KO中的一个点。我们确定了R (p)，使得半径> R (p)的每一个封闭球，如果包含p，也必须满足S。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A theorem on convex hulls

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences

自引率

0.00%

发文量