Rhapsody in Fractional

Detalhes bibliográficos
Autor(a) principal: Machado, J. A. Tenreiro
Data de Publicação: 2014
Outros Autores: Lopes, António, Duarte, Fernando, Ortigueira, Manuel, Rato, Raul
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/6927
Resumo: This paper studies several topics related with the concept of “fractional” that are not directly related with Fractional Calculus, but can help the reader in pursuit new research directions. We introduce the concept of non-integer positional number systems, fractional sums, fractional powers of a square matrix, tolerant computing and FracSets, negative probabilities, fractional delay discrete-time linear systems, and fractional Fourier transform.
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spelling Rhapsody in FractionalPositional number systemsFractional sumsMatrix powerMatrix rootTolerant computingNegative probabilityFractional delayDifference equationsFractional Fourier transformThis paper studies several topics related with the concept of “fractional” that are not directly related with Fractional Calculus, but can help the reader in pursuit new research directions. We introduce the concept of non-integer positional number systems, fractional sums, fractional powers of a square matrix, tolerant computing and FracSets, negative probabilities, fractional delay discrete-time linear systems, and fractional Fourier transform.De GruyterRepositório Científico do Instituto Politécnico do PortoMachado, J. A. TenreiroLopes, AntónioDuarte, FernandoOrtigueira, ManuelRato, Raul2015-11-19T10:49:55Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/6927eng10.2478/s13540-014-0206-0info: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:RCAAP2023-03-13T12:47:13Zoai:recipp.ipp.pt:10400.22/6927Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:27:20.791188Repositório 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 Rhapsody in Fractional
title Rhapsody in Fractional
spellingShingle Rhapsody in Fractional
Machado, J. A. Tenreiro
Positional number systems
Fractional sums
Matrix power
Matrix root
Tolerant computing
Negative probability
Fractional delay
Difference equations
Fractional Fourier transform
title_short Rhapsody in Fractional
title_full Rhapsody in Fractional
title_fullStr Rhapsody in Fractional
title_full_unstemmed Rhapsody in Fractional
title_sort Rhapsody in Fractional
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
Lopes, António
Duarte, Fernando
Ortigueira, Manuel
Rato, Raul
author_role author
author2 Lopes, António
Duarte, Fernando
Ortigueira, Manuel
Rato, Raul
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
Lopes, António
Duarte, Fernando
Ortigueira, Manuel
Rato, Raul
dc.subject.por.fl_str_mv Positional number systems
Fractional sums
Matrix power
Matrix root
Tolerant computing
Negative probability
Fractional delay
Difference equations
Fractional Fourier transform
topic Positional number systems
Fractional sums
Matrix power
Matrix root
Tolerant computing
Negative probability
Fractional delay
Difference equations
Fractional Fourier transform
description This paper studies several topics related with the concept of “fractional” that are not directly related with Fractional Calculus, but can help the reader in pursuit new research directions. We introduce the concept of non-integer positional number systems, fractional sums, fractional powers of a square matrix, tolerant computing and FracSets, negative probabilities, fractional delay discrete-time linear systems, and fractional Fourier transform.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2015-11-19T10:49:55Z
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/10400.22/6927
url http://hdl.handle.net/10400.22/6927
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.2478/s13540-014-0206-0
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 De Gruyter
publisher.none.fl_str_mv De Gruyter
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
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection 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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