{"title":"The Combinatorics of Distributions","authors":"B. Günther","doi":"10.3888/TMJ.13-10","DOIUrl":null,"url":null,"abstract":"Distributions, which are the various ways of distributing a certain number of objects of different classes among a collection of targets, have been the subject of combinatorial investigations since MacMahonʼs 1917 monograph. In this paper we apply them to a simulation of superimposed random coding. Furthermore, asymptotic estimates are provided using logarithmic polynomials (related to the well-known Bell polynomials) for symbolic and numeric calculation.","PeriodicalId":91418,"journal":{"name":"The Mathematica journal","volume":"13 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2011-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Mathematica journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3888/TMJ.13-10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Distributions, which are the various ways of distributing a certain number of objects of different classes among a collection of targets, have been the subject of combinatorial investigations since MacMahonʼs 1917 monograph. In this paper we apply them to a simulation of superimposed random coding. Furthermore, asymptotic estimates are provided using logarithmic polynomials (related to the well-known Bell polynomials) for symbolic and numeric calculation.
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