{"title":"A refutation of Carlson's Conjecture, or UMASS re-moulded","authors":"C. Foster","doi":"10.1145/800184.810492","DOIUrl":null,"url":null,"abstract":"It is shown first that Carlson's Conjecture, in both the strong and weak form, is false and that (@@@@j)(D<subscript>j</subscript>@@@@U<subscript>j</subscript> @@). Second, we show that S(-@@@@)>S(@@@@) for any positive @@ and @@. Finally, we discuss some changes to a time-sharing system (UMASS) that one of the members of the design team would make today on the basis of three years experience teaching and using the system.","PeriodicalId":126192,"journal":{"name":"ACM '71","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM '71","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800184.810492","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
It is shown first that Carlson's Conjecture, in both the strong and weak form, is false and that (@@@@j)(Dj@@@@Uj @@). Second, we show that S(-@@@@)>S(@@@@) for any positive @@ and @@. Finally, we discuss some changes to a time-sharing system (UMASS) that one of the members of the design team would make today on the basis of three years experience teaching and using the system.
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