{"title":"Algebra and Geometry of Sets in Boolean Space","authors":"V. Leontiev, G. Movsisyan, Z. Margaryan","doi":"10.4236/OJDM.2016.62004","DOIUrl":null,"url":null,"abstract":"In the \npresent paper, geometry of the Boolean space Bn in terms of Hausdorff distances between subsets and \nsubset sums is investigated. The main results are the algebraic and analytical \nexpressions for representing of classical figures in Bn and the functions of distances between them. In \nparticular, equations in sets are considered and their interpretations in \ncombinatory terms are given.","PeriodicalId":61712,"journal":{"name":"离散数学期刊(英文)","volume":"06 1","pages":"25-40"},"PeriodicalIF":0.0000,"publicationDate":"2016-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"离散数学期刊(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/OJDM.2016.62004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In the
present paper, geometry of the Boolean space Bn in terms of Hausdorff distances between subsets and
subset sums is investigated. The main results are the algebraic and analytical
expressions for representing of classical figures in Bn and the functions of distances between them. In
particular, equations in sets are considered and their interpretations in
combinatory terms are given.
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