Arithmetic for closed balls
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
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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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 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
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 |
language |
eng |
dc.relation.none.fl_str_mv |
10.2989/16073606.2021.1949402 |
dc.rights.driver.fl_str_mv |
metadata only access info:eu-repo/semantics/openAccess |
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metadata only access |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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