Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions

Detalhes bibliográficos
Autor(a) principal: Annamalai, Chinnaraji
Data de Publicação: 2022
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista de Engenharia Química e Química
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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spelling 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:Revista de Engenharia Química e Químicainstname: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/indexONGhttps://periodicos.ufv.br/jcec/oaijcec.journal@ufv.br||req2@ufv.br2446-94162446-9416opendoar:2022-10-24T12:05:38Revista de Engenharia Química e Química - 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:Revista de Engenharia Química e Química
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str Revista de Engenharia Química e Química
collection Revista de Engenharia Química e Química
repository.name.fl_str_mv Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv jcec.journal@ufv.br||req2@ufv.br
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