Geometrical coupling fields of a hypercomplex type
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://www.ijpam.eu/contents/2013-89-2/7/ http://hdl.handle.net/11449/122811 |
Resumo: | This paper presents an application of Laplace's equation obtained from a quaternionic function that satisfies the Cauchy-Riemann conditions determined earlier by Borges and Machado [#!BorgesZeMarcio!#]. Therefore, we show that it is possible to express in a single equation gravity, electric and magnetic potential fields, and this expression can only be provided due to a function that will be called here the coupling function. |
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Repositório Institucional da UNESP |
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Geometrical coupling fields of a hypercomplex typequaternionsLaplace's equationsgeoemtrical coupling fieldsThis paper presents an application of Laplace's equation obtained from a quaternionic function that satisfies the Cauchy-Riemann conditions determined earlier by Borges and Machado [#!BorgesZeMarcio!#]. Therefore, we show that it is possible to express in a single equation gravity, electric and magnetic potential fields, and this expression can only be provided due to a function that will be called here the coupling function.Universidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciência da Computação e Estatística, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, São José do Rio Preto, Rua Cristovão Colombo 2265, Jardim Nazaré, CEP 15054000, SP, BrasilUniversidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciência da Computação e Estatística, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, São José do Rio Preto, Rua Cristovão Colombo 2265, Jardim Nazaré, CEP 15054000, SP, BrasilDepartment of Mathematics Federal University of Maranhão - São Luís-MA 65085-580, Maranhão, BRAZILUniversidade Estadual Paulista (Unesp)Marão, José Antônio Pires FerreiraBorges Neto, Manoel Ferreira [UNESP]2015-04-27T11:56:03Z2015-04-27T11:56:03Z2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article215-224http://www.ijpam.eu/contents/2013-89-2/7/International Journal of Pure and Applied Mathematics, v. 89, n. 2, p. 215-224, 2013.1311-8080http://hdl.handle.net/11449/12281110.12732/ijpam.v89i2.77955413331293674Currículo Lattesreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Pure and Applied Mathematics0,139info:eu-repo/semantics/openAccess2021-10-23T22:04:25Zoai:repositorio.unesp.br:11449/122811Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:37:53.981847Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Geometrical coupling fields of a hypercomplex type |
title |
Geometrical coupling fields of a hypercomplex type |
spellingShingle |
Geometrical coupling fields of a hypercomplex type Marão, José Antônio Pires Ferreira quaternions Laplace's equations geoemtrical coupling fields |
title_short |
Geometrical coupling fields of a hypercomplex type |
title_full |
Geometrical coupling fields of a hypercomplex type |
title_fullStr |
Geometrical coupling fields of a hypercomplex type |
title_full_unstemmed |
Geometrical coupling fields of a hypercomplex type |
title_sort |
Geometrical coupling fields of a hypercomplex type |
author |
Marão, José Antônio Pires Ferreira |
author_facet |
Marão, José Antônio Pires Ferreira Borges Neto, Manoel Ferreira [UNESP] |
author_role |
author |
author2 |
Borges Neto, Manoel Ferreira [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Marão, José Antônio Pires Ferreira Borges Neto, Manoel Ferreira [UNESP] |
dc.subject.por.fl_str_mv |
quaternions Laplace's equations geoemtrical coupling fields |
topic |
quaternions Laplace's equations geoemtrical coupling fields |
description |
This paper presents an application of Laplace's equation obtained from a quaternionic function that satisfies the Cauchy-Riemann conditions determined earlier by Borges and Machado [#!BorgesZeMarcio!#]. Therefore, we show that it is possible to express in a single equation gravity, electric and magnetic potential fields, and this expression can only be provided due to a function that will be called here the coupling function. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013 2015-04-27T11:56:03Z 2015-04-27T11:56:03Z |
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://www.ijpam.eu/contents/2013-89-2/7/ International Journal of Pure and Applied Mathematics, v. 89, n. 2, p. 215-224, 2013. 1311-8080 http://hdl.handle.net/11449/122811 10.12732/ijpam.v89i2.7 7955413331293674 |
url |
http://www.ijpam.eu/contents/2013-89-2/7/ http://hdl.handle.net/11449/122811 |
identifier_str_mv |
International Journal of Pure and Applied Mathematics, v. 89, n. 2, p. 215-224, 2013. 1311-8080 10.12732/ijpam.v89i2.7 7955413331293674 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
International Journal of Pure and Applied Mathematics 0,139 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
215-224 |
dc.source.none.fl_str_mv |
Currículo Lattes reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128680830959616 |