{"title":"正有理数分解成埃及分数:斐波那契/西尔维斯特定理和erdos /Stein定理以及相应的JavaScript小程序","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":"{\"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}","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}
A Decomposição de números racionais positivos em frações egípcias: Os Teoremas de Fibonacci/Sylvester e Erdös/Stein e um correspondente Applet JavaScript
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.