{"title":"Properties of Multisets Compared to Sets","authors":"Aurelian Radoaca","doi":"10.1109/SYNASC.2015.37","DOIUrl":null,"url":null,"abstract":"We present some properties of multisets comparedto sets, regarding the relations and operations between multisets, in an attempt to simplify the analysis of multisets. We introducemixed operations between sets and multisets and analyze thedressed epsilon (membership) symbol, which gives additionalinformation to the multiplicity of elements in a multiset.","PeriodicalId":6488,"journal":{"name":"2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","volume":"41 1","pages":"187-188"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SYNASC.2015.37","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12

Abstract

We present some properties of multisets comparedto sets, regarding the relations and operations between multisets, in an attempt to simplify the analysis of multisets. We introducemixed operations between sets and multisets and analyze thedressed epsilon (membership) symbol, which gives additionalinformation to the multiplicity of elements in a multiset.
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多集相对于集合的性质
为了简化多集的分析,我们给出了多集相对于集的一些性质,包括多集之间的关系和运算。我们引入集与多集之间的混合运算,并分析了修饰的隶属度符号,它给出了多集中元素的多重性的附加信息。
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