Collatz猜想的证明

Q4 Mathematics

Advances in Dynamical Systems and Applications Pub Date : 2021-06-30 DOI:10.37622/adsa/16.1.2021.313-316

Chengning Liu

{"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}

引用次数: 0

摘要

本文利用数学归纳法证明Collatz猜想，即假设3、5、7的猜想，直到2m+1成立，并利用Collatz猜想变换规则证明2m+3中的m无论奇数还是偶数都为真，彻底证明了Collatz猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Proof of Collatz Conjecture

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Advances in Dynamical Systems and Applications Mathematics-Analysis

CiteScore

0.30

自引率

0.00%

发文量