彩色矢量平衡

IF 0.8 3区 数学 Q2 MATHEMATICS
Mathematika Pub Date : 2024-08-27 DOI:10.1112/mtk.12274
Gergely Ambrus, Rainie Bozzai
{"title":"彩色矢量平衡","authors":"Gergely Ambrus,&nbsp;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":"70 4","pages":""},"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,&nbsp;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\":\"70 4\",\"pages\":\"\"},\"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}
引用次数: 0

摘要

我们对 20 世纪 80 年代证明的配备欧氏和最大规范的向量平衡常数的经典估计进行了扩展,证明对于 和 ,给定具有 ,的向量族,可以选择具有 的向量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Colorful vector balancing

Colorful vector balancing

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

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
Mathematika
Mathematika MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
1.40
自引率
0.00%
发文量
60
审稿时长
>12 weeks
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信