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On the Problem of Detecting When Two Implicit Plane Algebraic Curves Are Similar

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dc.contributor.authorDíaz Toca, Gema M.
dc.contributor.authorAlcázar, Juan Gerardo
dc.contributor.authorHermoso, Carlos
dc.contributor.departmentIngeniería y Tecnología de Computadores
dc.date.accessioned2024-01-30T17:38:09Z
dc.date.available2024-01-30T17:38:09Z
dc.date.created2018-09-05
dc.date.issued2019-03-08
dc.description©2019. This manuscript version is made available under the CC-BY 4.0 license http://creativecommons.org/licenses/by/4.0/ This document is the Accepted, version of a Published Work that appeared in final form in International Journal of Algebra and Computation (iJAC). To access the final edited and published work see https://doi.org/10.1142/S0218196719500279es
dc.description.abstractWe make use of the complex implicit representation in order to provide a deterministic algorithm for checking whether or not two im- plicit algebraic curves are related by a similarity. The algorithm has been implemented in the computer algebra system Maple 2016. The implementation can be freely downloaded from the webpage of one of the authors. Examples and evidence of the good practical performance of the algorithm are given.es
dc.formatapplication/pdfes
dc.format.extent24es
dc.identifier.citationInternational Journal of Algebra and Computation
dc.identifier.doihttps://doi.org/10.1142/S0218196719500279
dc.identifier.issn1793-6500
dc.identifier.issn0218-1967
dc.identifier.urihttp://hdl.handle.net/10201/138187
dc.languageenges
dc.publisherWorld Scientifices
dc.relationJuan G. Alcázar and Gema M. Díaz Toca were supported by the Spanish Ministerio de Economía y Competitividad and by the European Regional Development Fund (ERDF), under the project MTM2017- 88796-P. Additionally, Juan G. Alcázar and Carlos Hermoso are members of the Research Group asynacs (Ref. ccee2011/r34).es
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectSimilaritieses
dc.subjectImplicit algebraic curveses
dc.subjectCurves recognitiones
dc.titleOn the Problem of Detecting When Two Implicit Plane Algebraic Curves Are Similares
dc.typeinfo:eu-repo/semantics/articlees
dspace.entity.typePublicationes
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