Numerical Uncertainty and Its Implications

Detalhes bibliográficos
Autor(a) principal: Rodrigues, António F.
Data de Publicação: 2014
Outros Autores: Martins, Nuno O.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.3/2928
Resumo: Copyright © 2014 António F. Rodrigues, Nuno O. Martins. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In accordance of the Creative Commons Attribution License all Copyrights © 2014 are reserved for SCIRP and the owner of the intellectual property António F. Rodrigues, Nuno O. Martins. All Copyright © 2014 are guarded by law and by SCIRP as a guardian.
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spelling Numerical Uncertainty and Its ImplicationsGeometryAlgebraNumerical UncertaintyFine Structure Constant and Physical UncertaintyCopyright © 2014 António F. Rodrigues, Nuno O. Martins. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In accordance of the Creative Commons Attribution License all Copyrights © 2014 are reserved for SCIRP and the owner of the intellectual property António F. Rodrigues, Nuno O. Martins. All Copyright © 2014 are guarded by law and by SCIRP as a guardian.A scrutiny of the contributions of key mathematicians and scientists shows that there has been much controversy (throughout the development of mathematics and science) concerning the use of mathematics and the nature of mathematics too. In this work, we try to show that arithmetical operations of approximation lead to the existence of a numerical uncertainty, which is quantic, path dependent and also dependent on the number system used, with mathematical and physical implications. When we explore the algebraic equations for the fine structure constant, the conditions exposed in this work generate paradoxical physical conditions, where the solution to the paradox may be in the fact that the fine-structure constant is calculated through different ways in order to ob-tain the same value, but there is no relationship between the fundamental physical processes which underlie the calculations, since we are merely dealing with algebraic relations, despite the expressions having the same physi-cal dimensions.Scientific Research PublishingRepositório da Universidade dos AçoresRodrigues, António F.Martins, Nuno O.2014-03-28T18:05:31Z2014-022014-03-24T16:14:06Z2014-02-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.3/2928engRodrigues, António F.; Martins, Nuno O. (2014). "Numerical Uncertainty and Its Implications", Journal of Applied Mathematics and Physics, 2(3), 33-44. http://dx.doi.org/10.4236/jamp.2014.23004.2327-4352 (Print)info: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:RCAAP2022-12-20T14:30:48Zoai:repositorio.uac.pt:10400.3/2928Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:25:33.141644Repositório 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 Numerical Uncertainty and Its Implications
title Numerical Uncertainty and Its Implications
spellingShingle Numerical Uncertainty and Its Implications
Rodrigues, António F.
Geometry
Algebra
Numerical Uncertainty
Fine Structure Constant and Physical Uncertainty
title_short Numerical Uncertainty and Its Implications
title_full Numerical Uncertainty and Its Implications
title_fullStr Numerical Uncertainty and Its Implications
title_full_unstemmed Numerical Uncertainty and Its Implications
title_sort Numerical Uncertainty and Its Implications
author Rodrigues, António F.
author_facet Rodrigues, António F.
Martins, Nuno O.
author_role author
author2 Martins, Nuno O.
author2_role author
dc.contributor.none.fl_str_mv Repositório da Universidade dos Açores
dc.contributor.author.fl_str_mv Rodrigues, António F.
Martins, Nuno O.
dc.subject.por.fl_str_mv Geometry
Algebra
Numerical Uncertainty
Fine Structure Constant and Physical Uncertainty
topic Geometry
Algebra
Numerical Uncertainty
Fine Structure Constant and Physical Uncertainty
description Copyright © 2014 António F. Rodrigues, Nuno O. Martins. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In accordance of the Creative Commons Attribution License all Copyrights © 2014 are reserved for SCIRP and the owner of the intellectual property António F. Rodrigues, Nuno O. Martins. All Copyright © 2014 are guarded by law and by SCIRP as a guardian.
publishDate 2014
dc.date.none.fl_str_mv 2014-03-28T18:05:31Z
2014-02
2014-03-24T16:14:06Z
2014-02-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.3/2928
url http://hdl.handle.net/10400.3/2928
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Rodrigues, António F.; Martins, Nuno O. (2014). "Numerical Uncertainty and Its Implications", Journal of Applied Mathematics and Physics, 2(3), 33-44. http://dx.doi.org/10.4236/jamp.2014.23004.
2327-4352 (Print)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Scientific Research Publishing
publisher.none.fl_str_mv Scientific Research Publishing
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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