{"title":"Comment faire un demi-tour dans la Tour d'Hanoï Cyclique","authors":"Thierry Bousch","doi":"10.36045/j.bbms.220323","DOIUrl":"https://doi.org/10.36045/j.bbms.220323","url":null,"abstract":"It is shown that, in the cyclic tower of Hanoi with 4 pegs and N disks, there exists an initial configuration of disks and a valid sequence of moves, after which the configuration has made a half-turn, where the number of disk moves grows in O ( Z N ), where Z ≃ 1 . 69562 is the unique real root of the equation Z 3 = Z 2 + 2. This result is consistent with some numerical experiments and conjectures made by Paul Zimmermann in 2017. Then, the optimality of the number of disk moves obtained by this process is discussed.","PeriodicalId":513384,"journal":{"name":"Bulletin of the Belgian Mathematical Society - Simon Stevin","volume":" 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141672299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Inverses and determinants of three classes of Hankel matrices","authors":"Whenchang Chu, E. Kiliç","doi":"10.36045/j.bbms.240417","DOIUrl":"https://doi.org/10.36045/j.bbms.240417","url":null,"abstract":"","PeriodicalId":513384,"journal":{"name":"Bulletin of the Belgian Mathematical Society - Simon Stevin","volume":" 0","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141671943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Leila Azem, A. Sboui, Ridha Selmii, Afrah Fahed Abohelal
{"title":"Analytical study of attractors to a regularized 3D Boussinesq system","authors":"Leila Azem, A. Sboui, Ridha Selmii, Afrah Fahed Abohelal","doi":"10.36045/j.bbms.230719","DOIUrl":"https://doi.org/10.36045/j.bbms.230719","url":null,"abstract":"","PeriodicalId":513384,"journal":{"name":"Bulletin of the Belgian Mathematical Society - Simon Stevin","volume":" 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141672949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A class of lattices applicable to measurable sets and functions (modulo equality a.e.)","authors":"Christian Ronse","doi":"10.36045/j.bbms.240105","DOIUrl":"https://doi.org/10.36045/j.bbms.240105","url":null,"abstract":"","PeriodicalId":513384,"journal":{"name":"Bulletin of the Belgian Mathematical Society - Simon Stevin","volume":" 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141672890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Goldbach-Linnik type problems involving unequal powers of primes and powers of 2","authors":"Xue Han, Huafeng Liu, Ruiyang Yue","doi":"10.36045/j.bbms.231113","DOIUrl":"https://doi.org/10.36045/j.bbms.231113","url":null,"abstract":"","PeriodicalId":513384,"journal":{"name":"Bulletin of the Belgian Mathematical Society - Simon Stevin","volume":" 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141671681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Transposed Poisson structures on loop Heisenberg-Virasoro Lie algebra","authors":"Yang Yang, Xiaomin Tang","doi":"10.36045/j.bbms.231222","DOIUrl":"https://doi.org/10.36045/j.bbms.231222","url":null,"abstract":"","PeriodicalId":513384,"journal":{"name":"Bulletin of the Belgian Mathematical Society - Simon Stevin","volume":" 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141672922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}