A Clustering Perspective of the Collatz Conjecture

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorTenreiro Machado, José António
dc.contributor.authorGalhano, Alexandra
dc.contributor.authorCao Labora, Daniel
dc.date.accessioned2021-02-12T13:54:55Z
dc.date.available2021-02-12T13:54:55Z
dc.date.issued2021
dc.description.abstractThis manuscript focuses on one of the most famous open problems in mathematics, namely the Collatz conjecture. The first part of the paper is devoted to describe the problem, providing a historical introduction to it, as well as giving some intuitive arguments of why is it hard from the mathematical point of view. The second part is dedicated to the visualization of behaviors of the Collatz iteration function and the analysis of the resultsgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe work of D. Cao Labora was partially supported by grant number MTM2016-75140-P (AEI/FEDER, UE)gl
dc.identifier.citationMathematics 2021, 9(4), 314; https://doi.org/10.3390/math9040314gl
dc.identifier.doi10.3390/math9040314
dc.identifier.essn2227-7390
dc.identifier.urihttp://hdl.handle.net/10347/24434
dc.language.isoenggl
dc.publisherMDPIgl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES
dc.relation.publisherversionhttps://doi.org/10.3390/math9040314gl
dc.rights© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)gl
dc.rightsAtribución 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectMultidimensional scalinggl
dc.subjectCollatz conjecturegl
dc.subjectClustering methodsgl
dc.titleA Clustering Perspective of the Collatz Conjecturegl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication57f2d82e-4b30-4dd8-b535-3f51d838aec3
relation.isAuthorOfPublication.latestForDiscovery57f2d82e-4b30-4dd8-b535-3f51d838aec3

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