Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | The Journal of Engineering and Exact Sciences |
Texto Completo: | https://periodicos.ufv.br/jcec/article/view/14648 |
Resumo: | Nowadays, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical and computational equations for solving today’s scientific problems and challenges. This paper presents combinatorial geometric series, innovative binomial coefficients, combinatorial equations, binomial expansions, calculus with combinatorial geometric series, and innovative binomial theorems. Combinatorics involves integers, factorials, binomial coefficients, discrete mathematics, and theoretical computer science for finding solutions to the problems in computing and engineering science. The combinatorial geometric series with binomial expansions and its theorems refer to the methodological advances which are useful for researchers who are working in computational science. Computational science is a rapidly growing multi-and inter-disciplinary area where science, engineering, computation, mathematics, and collaboration use advance computing capabilities to understand and solve the most complex real-life problems. |
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The Journal of Engineering and Exact Sciences |
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Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansionscomputation, combinatorics, binomial coefficientNowadays, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical and computational equations for solving today’s scientific problems and challenges. This paper presents combinatorial geometric series, innovative binomial coefficients, combinatorial equations, binomial expansions, calculus with combinatorial geometric series, and innovative binomial theorems. Combinatorics involves integers, factorials, binomial coefficients, discrete mathematics, and theoretical computer science for finding solutions to the problems in computing and engineering science. The combinatorial geometric series with binomial expansions and its theorems refer to the methodological advances which are useful for researchers who are working in computational science. Computational science is a rapidly growing multi-and inter-disciplinary area where science, engineering, computation, mathematics, and collaboration use advance computing capabilities to understand and solve the most complex real-life problems.Universidade Federal de Viçosa - UFV2022-09-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtigo, Manuscrito, Eventosapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1464810.18540/jcecvl8iss7pp14648-01iThe Journal of Engineering and Exact Sciences; Vol. 8 No. 7 (2022); 14648-01iThe Journal of Engineering and Exact Sciences; Vol. 8 Núm. 7 (2022); 14648-01iThe Journal of Engineering and Exact Sciences; v. 8 n. 7 (2022); 14648-01i2527-1075reponame:The Journal of Engineering and Exact Sciencesinstname:Universidade Federal de Viçosa (UFV)instacron:UFVenghttps://periodicos.ufv.br/jcec/article/view/14648/7482Copyright (c) 2022 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessAnnamalai, Chinnaraji2022-10-24T12:05:38Zoai:ojs.periodicos.ufv.br:article/14648Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/oai2527-10752527-1075opendoar:2022-10-24T12:05:38The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)false |
dc.title.none.fl_str_mv |
Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions |
title |
Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions |
spellingShingle |
Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions Annamalai, Chinnaraji computation, combinatorics, binomial coefficient |
title_short |
Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions |
title_full |
Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions |
title_fullStr |
Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions |
title_full_unstemmed |
Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions |
title_sort |
Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions |
author |
Annamalai, Chinnaraji |
author_facet |
Annamalai, Chinnaraji |
author_role |
author |
dc.contributor.author.fl_str_mv |
Annamalai, Chinnaraji |
dc.subject.por.fl_str_mv |
computation, combinatorics, binomial coefficient |
topic |
computation, combinatorics, binomial coefficient |
description |
Nowadays, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical and computational equations for solving today’s scientific problems and challenges. This paper presents combinatorial geometric series, innovative binomial coefficients, combinatorial equations, binomial expansions, calculus with combinatorial geometric series, and innovative binomial theorems. Combinatorics involves integers, factorials, binomial coefficients, discrete mathematics, and theoretical computer science for finding solutions to the problems in computing and engineering science. The combinatorial geometric series with binomial expansions and its theorems refer to the methodological advances which are useful for researchers who are working in computational science. Computational science is a rapidly growing multi-and inter-disciplinary area where science, engineering, computation, mathematics, and collaboration use advance computing capabilities to understand and solve the most complex real-life problems. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-09-22 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artigo, Manuscrito, Eventos |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.ufv.br/jcec/article/view/14648 10.18540/jcecvl8iss7pp14648-01i |
url |
https://periodicos.ufv.br/jcec/article/view/14648 |
identifier_str_mv |
10.18540/jcecvl8iss7pp14648-01i |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://periodicos.ufv.br/jcec/article/view/14648/7482 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2022 The Journal of Engineering and Exact Sciences https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2022 The Journal of Engineering and Exact Sciences https://creativecommons.org/licenses/by/4.0 |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Viçosa - UFV |
publisher.none.fl_str_mv |
Universidade Federal de Viçosa - UFV |
dc.source.none.fl_str_mv |
The Journal of Engineering and Exact Sciences; Vol. 8 No. 7 (2022); 14648-01i The Journal of Engineering and Exact Sciences; Vol. 8 Núm. 7 (2022); 14648-01i The Journal of Engineering and Exact Sciences; v. 8 n. 7 (2022); 14648-01i 2527-1075 reponame:The Journal of Engineering and Exact Sciences instname:Universidade Federal de Viçosa (UFV) instacron:UFV |
instname_str |
Universidade Federal de Viçosa (UFV) |
instacron_str |
UFV |
institution |
UFV |
reponame_str |
The Journal of Engineering and Exact Sciences |
collection |
The Journal of Engineering and Exact Sciences |
repository.name.fl_str_mv |
The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV) |
repository.mail.fl_str_mv |
|
_version_ |
1808845247556354048 |