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Arithmetic for closed balls

2022Journal article Restricted access
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dc.contributor.authorBeites, P. D.
dc.contributor.authorNicolás, A. P.
dc.contributor.authorVitoria, Jose
dc.date.accessioned2022-12-05T09:50:42Z
dc.date.available2022-12-05T09:50:42Z
dc.date.issued2022
dc.description.abstractInspired by circular complex interval arithmetic, an arithmetic for closed balls in Rn is pursued. In this sense, the properties of certain operations on closed balls in Rn, some of which related either to the Hadamard product of vectors or to the 2-fold vector cross product when n ∈ {3, 7}, are studied. In particular, known results for operations on closed balls in C, which can be identified with R2, are extended to closed balls in Rn.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.2989/16073606.2021.1949402pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/12434
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.relationCenter of Mathematics and Applications of University of Beira Interior
dc.relation.publisherversionhttps://www.tandfonline.com/doi/abs/10.2989/16073606.2021.1949402pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectClosed ballpt_PT
dc.subjectOperationpt_PT
dc.subject2-fold vector cross productpt_PT
dc.subjectHadamard product of vectorspt_PT
dc.subjectAlgebraic structurept_PT
dc.titleArithmetic for closed ballspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter of Mathematics and Applications of University of Beira Interior
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT
oaire.citation.endPage1471pt_PT
oaire.citation.startPage1459pt_PT
oaire.citation.titleQuaestiones Mathematicaept_PT
oaire.citation.volume45pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameDamas Beites
person.familyNameNicolás
person.familyNameVitoria
person.givenNamePatrícia
person.givenNameAlejandro
person.givenNameJose
person.identifier.ciencia-id591A-8D9A-73CE
person.identifier.orcid0000-0003-0266-7055
person.identifier.orcid0000-0001-6499-0072
person.identifier.orcid0000-0003-3964-2425
person.identifier.ridK-5772-2017
person.identifier.ridK-4270-2017
person.identifier.scopus-author-id37041170800
person.identifier.scopus-author-id6507537360
person.identifier.scopus-author-id15735365200
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.embargofctCopyright cedido à editorapt_PT
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication9f86873f-5364-4413-a23d-ceab6f2372a3
relation.isAuthorOfPublicationacbd511d-44f9-4c32-89e7-ff0af17de2ac
relation.isAuthorOfPublication004e9ea9-0902-424d-85ab-ff616b4d778f
relation.isAuthorOfPublication.latestForDiscoveryacbd511d-44f9-4c32-89e7-ff0af17de2ac
relation.isProjectOfPublication8ba4cb1c-bd74-44b8-bc32-20b90c6c920d
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