Vector Space on the Binomial Coefficients in Combinatorial Geometric Series
A vector space is a group of objects that is closed under finite vector addition and scalar multiplication. This paper discusses a vector space under addition and multiplication of binomial coefficients defined in combinatorial geometric series. The combinatorial geometric series is a geometric ser...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2023-03-01
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| Series: | The Journal of Engineering and Exact Sciences |
| Subjects: | |
| Online Access: | https://periodicos.ufv.br/jcec/article/view/15413 |
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| author | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira |
| author_facet | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira |
| author_sort | Chinnaraji Annamalai |
| collection | DOAJ |
| description |
A vector space is a group of objects that is closed under finite vector addition and scalar multiplication. This paper discusses a vector space under addition and multiplication of binomial coefficients defined in combinatorial geometric series. The combinatorial geometric series is a geometric series with binomial coefficients that is derived from the multiple summations of geometric series. This idea can enable the scientific researchers to solve the real world problems.
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| format | Article |
| id | doaj-art-1a5e547e33224ea6bf812be69e41241d |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-1a5e547e33224ea6bf812be69e41241d2025-02-02T19:55:18ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752023-03-019610.18540/jcecvl9iss6pp15413-01eVector Space on the Binomial Coefficients in Combinatorial Geometric SeriesChinnaraji Annamalai0Antonio Marcos de Oliveira Siqueira1Department of Management, Indian Institute of Technology, Kharagpur, West Medinipur, West Bengal, Kharagpur – 721302, IndiaFederal University of Viçosa, Brazil A vector space is a group of objects that is closed under finite vector addition and scalar multiplication. This paper discusses a vector space under addition and multiplication of binomial coefficients defined in combinatorial geometric series. The combinatorial geometric series is a geometric series with binomial coefficients that is derived from the multiple summations of geometric series. This idea can enable the scientific researchers to solve the real world problems. https://periodicos.ufv.br/jcec/article/view/15413computation, binomial coefficient, vector space |
| spellingShingle | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira Vector Space on the Binomial Coefficients in Combinatorial Geometric Series The Journal of Engineering and Exact Sciences computation, binomial coefficient, vector space |
| title | Vector Space on the Binomial Coefficients in Combinatorial Geometric Series |
| title_full | Vector Space on the Binomial Coefficients in Combinatorial Geometric Series |
| title_fullStr | Vector Space on the Binomial Coefficients in Combinatorial Geometric Series |
| title_full_unstemmed | Vector Space on the Binomial Coefficients in Combinatorial Geometric Series |
| title_short | Vector Space on the Binomial Coefficients in Combinatorial Geometric Series |
| title_sort | vector space on the binomial coefficients in combinatorial geometric series |
| topic | computation, binomial coefficient, vector space |
| url | https://periodicos.ufv.br/jcec/article/view/15413 |
| work_keys_str_mv | AT chinnarajiannamalai vectorspaceonthebinomialcoefficientsincombinatorialgeometricseries AT antoniomarcosdeoliveirasiqueira vectorspaceonthebinomialcoefficientsincombinatorialgeometricseries |