{"title":"Collatz猜想的证明","authors":"Chengning Liu","doi":"10.37622/adsa/16.1.2021.313-316","DOIUrl":null,"url":null,"abstract":"This paper used the mathematical induction to prove Collatz Conjecture, namely, assumed that the conjecture of 3, 5, 7, until 2m+1 were established, and the Collatz Conjecture transformation rule was used to prove that the conjecture was true whether m in 2m+3 was odd or even, which thoroughly proved Collatz Conjecture.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Proof of Collatz Conjecture\",\"authors\":\"Chengning Liu\",\"doi\":\"10.37622/adsa/16.1.2021.313-316\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper used the mathematical induction to prove Collatz Conjecture, namely, assumed that the conjecture of 3, 5, 7, until 2m+1 were established, and the Collatz Conjecture transformation rule was used to prove that the conjecture was true whether m in 2m+3 was odd or even, which thoroughly proved Collatz Conjecture.\",\"PeriodicalId\":36469,\"journal\":{\"name\":\"Advances in Dynamical Systems and Applications\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Dynamical Systems and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37622/adsa/16.1.2021.313-316\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Dynamical Systems and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37622/adsa/16.1.2021.313-316","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
This paper used the mathematical induction to prove Collatz Conjecture, namely, assumed that the conjecture of 3, 5, 7, until 2m+1 were established, and the Collatz Conjecture transformation rule was used to prove that the conjecture was true whether m in 2m+3 was odd or even, which thoroughly proved Collatz Conjecture.
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