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dc.contributor.authorCampo Montalvo, Elena 
dc.contributor.authorFernández De Sevilla Vellón, María De Los Ángeles 
dc.contributor.authorPérez Díaz, Sonia 
dc.date.accessioned2023-01-10T14:27:31Z
dc.date.available2023-01-10T14:27:31Z
dc.date.issued2022-04-25
dc.identifier.bibliographicCitationCampo Montalvo, E., Fernández de Sevilla, M. & Pérez Díaz, S. 2022, "Asymptotic behavior of a surface implicitly defined", Mathematics, vol. 10, no. 9, art. no. 1445.
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10017/55108
dc.description.abstractIn this paper, we introduce the notion of infinity branches and approaching surfaces. We obtain an algorithm that compares the behavior at the infinity of two given algebraic surfaces that are defined by an irreducible polynomial. Furthermore, we show that if two surfaces have the same asymptotic behavior, the Hausdorff distance between them is finite. All these concepts are new and represent a great advance for the study of surfaces and their applications.en
dc.description.sponsorshipAgencia Estatal de Investigaciónes_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherMDPI
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectAlgebraic surfaces implicitly defineden
dc.subjectInfinity branchen
dc.subjectConvergent branchen
dc.subjectAsymptotic behavioren
dc.subjectApproaching surfacesen
dc.titleAsymptotic behavior of a surface implicitly defineden
dc.typeinfo:eu-repo/semantics/articleen
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Automáticaes_ES
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Ciencias de la Computaciónes_ES
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.date.updated2023-01-10T14:27:04Z
dc.relation.publisherversionhttps://doi.org/10.3390/math10091445
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.3390/math10091445
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113192GB-I00/ES/VISUALIZACION MATEMATICA: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000042017
dc.identifier.publicationtitleMathematics
dc.identifier.publicationvolume10
dc.identifier.publicationissue9


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