Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions
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...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2022-09-01
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| Series: | The Journal of Engineering and Exact Sciences |
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| Online Access: | https://periodicos.ufv.br/jcec/article/view/14648 |
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| _version_ | 1832569717452177408 |
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| author | Chinnaraji Annamalai |
| author_facet | Chinnaraji Annamalai |
| author_sort | Chinnaraji Annamalai |
| collection | DOAJ |
| 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.
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| format | Article |
| id | doaj-art-3b2106c2a16646b3856c80a07b06fb79 |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2022-09-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-3b2106c2a16646b3856c80a07b06fb792025-02-02T19:56:08ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752022-09-018710.18540/jcecvl8iss7pp14648-01iComputation and Calculus for Combinatorial Geometric Series and Binomial Identities and ExpansionsChinnaraji Annamalai0Indian Institute of Technology Kharagpur 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. https://periodicos.ufv.br/jcec/article/view/14648computation, combinatorics, binomial coefficient |
| spellingShingle | Chinnaraji Annamalai Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions The Journal of Engineering and Exact Sciences computation, combinatorics, binomial coefficient |
| title | 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_short | 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 |
| topic | computation, combinatorics, binomial coefficient |
| url | https://periodicos.ufv.br/jcec/article/view/14648 |
| work_keys_str_mv | AT chinnarajiannamalai computationandcalculusforcombinatorialgeometricseriesandbinomialidentitiesandexpansions |