Yang-chuan Zhou, Ning-yun Dan, Wen-liang Wu, Jia-ying He
{"title":"On the Black-Hole Numbers of the Iteration of Digital Biquadratic Sum in the Quanternary, Octonary or Hexadecimal System","authors":"Yang-chuan Zhou, Ning-yun Dan, Wen-liang Wu, Jia-ying He","doi":"10.1109/ICMCCE51767.2020.00529","DOIUrl":null,"url":null,"abstract":"There are different periodic and fixed points under the iteration of biquadratic sum of digits of positive integer in different carry systems. There are three fixed points and one 2-circle in quanternary, seven fixed points in octonary, two fixed points, one 2-circle and one 6-circle in hexadecimal system.","PeriodicalId":6712,"journal":{"name":"2020 5th International Conference on Mechanical, Control and Computer Engineering (ICMCCE)","volume":"34 1","pages":"2453-2456"},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 5th International Conference on Mechanical, Control and Computer Engineering (ICMCCE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMCCE51767.2020.00529","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
There are different periodic and fixed points under the iteration of biquadratic sum of digits of positive integer in different carry systems. There are three fixed points and one 2-circle in quanternary, seven fixed points in octonary, two fixed points, one 2-circle and one 6-circle in hexadecimal system.
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