{"title":"关于并集的正则分布集合族的结构","authors":"Szilárd Svitek, Miklós Vontszemű","doi":"10.33039/ami.2021.10.001","DOIUrl":null,"url":null,"abstract":"Let 0 ≤ 𝑞 ≤ 1 and N denotes the set of all positive integers. In this paper we will be interested in the family 𝒰 ( 𝑥 𝑞 ) of all regularly distributed set 𝑋 ⊂ N whose ratio block sequence is asymptotically distributed with distribution function 𝑔 ( 𝑥 ) = 𝑥 𝑞 ; 𝑥 ∈ (0 , 1] , and we will study the structure of this family with respect to the union.","PeriodicalId":43454,"journal":{"name":"Annales Mathematicae et Informaticae","volume":"42 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On structure of the family of regularly distributed sets with respect to the union\",\"authors\":\"Szilárd Svitek, Miklós Vontszemű\",\"doi\":\"10.33039/ami.2021.10.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let 0 ≤ 𝑞 ≤ 1 and N denotes the set of all positive integers. In this paper we will be interested in the family 𝒰 ( 𝑥 𝑞 ) of all regularly distributed set 𝑋 ⊂ N whose ratio block sequence is asymptotically distributed with distribution function 𝑔 ( 𝑥 ) = 𝑥 𝑞 ; 𝑥 ∈ (0 , 1] , and we will study the structure of this family with respect to the union.\",\"PeriodicalId\":43454,\"journal\":{\"name\":\"Annales Mathematicae et Informaticae\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Mathematicae et Informaticae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33039/ami.2021.10.001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematicae et Informaticae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33039/ami.2021.10.001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
On structure of the family of regularly distributed sets with respect to the union
Let 0 ≤ 𝑞 ≤ 1 and N denotes the set of all positive integers. In this paper we will be interested in the family 𝒰 ( 𝑥 𝑞 ) of all regularly distributed set 𝑋 ⊂ N whose ratio block sequence is asymptotically distributed with distribution function 𝑔 ( 𝑥 ) = 𝑥 𝑞 ; 𝑥 ∈ (0 , 1] , and we will study the structure of this family with respect to the union.
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