{"title":"A New Proof of Boole’S Additive Combinatorics Formula","authors":"Necdet Batır, S. Atpinar","doi":"10.47443/dml.2022.109","DOIUrl":null,"url":null,"abstract":"The Boole’s additive combinatorics formula is given by n (cid:88) k =0 ( − 1) n − k (cid:32) n k (cid:33) k m = 0 if m < n, n ! if m = n. A new proof of this formula is presented in this paper.","PeriodicalId":36023,"journal":{"name":"Discrete Mathematics Letters","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2022-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/dml.2022.109","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The Boole’s additive combinatorics formula is given by n (cid:88) k =0 ( − 1) n − k (cid:32) n k (cid:33) k m = 0 if m < n, n ! if m = n. A new proof of this formula is presented in this paper.
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