{"title":"彩色矢量平衡","authors":"Gergely Ambrus, Rainie Bozzai","doi":"10.1112/mtk.12274","DOIUrl":null,"url":null,"abstract":"<p>We extend classical estimates for the vector balancing constant of <span></span><math></math> equipped with the Euclidean and the maximum norms proved in the 1980s by showing that for <span></span><math></math> and <span></span><math></math>, given vector families <span></span><math></math> with <span></span><math></math>, one may select vectors <span></span><math></math> with\n\n </p>","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/mtk.12274","citationCount":"0","resultStr":"{\"title\":\"Colorful vector balancing\",\"authors\":\"Gergely Ambrus, Rainie Bozzai\",\"doi\":\"10.1112/mtk.12274\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We extend classical estimates for the vector balancing constant of <span></span><math></math> equipped with the Euclidean and the maximum norms proved in the 1980s by showing that for <span></span><math></math> and <span></span><math></math>, given vector families <span></span><math></math> with <span></span><math></math>, one may select vectors <span></span><math></math> with\\n\\n </p>\",\"PeriodicalId\":18463,\"journal\":{\"name\":\"Mathematika\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-08-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1112/mtk.12274\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematika\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1112/mtk.12274\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematika","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/mtk.12274","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We extend classical estimates for the vector balancing constant of equipped with the Euclidean and the maximum norms proved in the 1980s by showing that for and , given vector families with , one may select vectors with
期刊介绍：
Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.
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