Arithmetic for closed balls

Detalhes bibliográficos
Autor(a) principal: Beites, P. D.
Data de Publicação: 2022
Outros Autores: Nicolás, A. P., Vitoria, Jose
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/12434
Resumo: Inspired 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.
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spelling Arithmetic for closed ballsClosed ballOperation2-fold vector cross productHadamard product of vectorsAlgebraic structureInspired 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.uBibliorumBeites, P. D.Nicolás, A. P.Vitoria, Jose2022-12-05T09:50:42Z20222022-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/12434eng10.2989/16073606.2021.1949402metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:55:37Zoai:ubibliorum.ubi.pt:10400.6/12434Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:52:02.551242Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Arithmetic for closed balls
title Arithmetic for closed balls
spellingShingle Arithmetic for closed balls
Beites, P. D.
Closed ball
Operation
2-fold vector cross product
Hadamard product of vectors
Algebraic structure
title_short Arithmetic for closed balls
title_full Arithmetic for closed balls
title_fullStr Arithmetic for closed balls
title_full_unstemmed Arithmetic for closed balls
title_sort Arithmetic for closed balls
author Beites, P. D.
author_facet Beites, P. D.
Nicolás, A. P.
Vitoria, Jose
author_role author
author2 Nicolás, A. P.
Vitoria, Jose
author2_role author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Beites, P. D.
Nicolás, A. P.
Vitoria, Jose
dc.subject.por.fl_str_mv Closed ball
Operation
2-fold vector cross product
Hadamard product of vectors
Algebraic structure
topic Closed ball
Operation
2-fold vector cross product
Hadamard product of vectors
Algebraic structure
description Inspired 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.
publishDate 2022
dc.date.none.fl_str_mv 2022-12-05T09:50:42Z
2022
2022-01-01T00:00:00Z
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/12434
url http://hdl.handle.net/10400.6/12434
dc.language.iso.fl_str_mv eng
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