A Decomposição de números racionais positivos em frações egípcias: Os Teoremas de Fibonacci/Sylvester e Erdös/Stein e um correspondente Applet JavaScript
{"title":"A Decomposição de números racionais positivos em frações egípcias: Os Teoremas de Fibonacci/Sylvester e Erdös/Stein e um correspondente Applet JavaScript","authors":"Humberto Bortolossi, C. Pereira","doi":"10.21711/2319023x2022/pmo1036","DOIUrl":null,"url":null,"abstract":"In this work, we present the Fibonacci/Sylvester and Erd¨os/Stein Theorems, their respective proofs, and a corresponding JavaScript applet related to the decomposition of positive rational numbers as the sum of distinct unit unity fractions.","PeriodicalId":274953,"journal":{"name":"Revista Professor de Matemática On line","volume":"10 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":"Revista Professor de Matemática On line","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21711/2319023x2022/pmo1036","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this work, we present the Fibonacci/Sylvester and Erd¨os/Stein Theorems, their respective proofs, and a corresponding JavaScript applet related to the decomposition of positive rational numbers as the sum of distinct unit unity fractions.