Skew Field on the Binomial Coefficients in Combinatorial Geometric Series
This paper discusses a commutative group, ring, and field under addition and multiplication of the binomial coefficients in combinatorial geometric series. The combinatorial geometric series is derived from the multiple summations of geometric series. The coefficient for each term in combinatorial...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2022-11-01
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| Series: | The Journal of Engineering and Exact Sciences |
| Subjects: | |
| Online Access: | https://periodicos.ufv.br/jcec/article/view/14859 |
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| _version_ | 1832569706018504704 |
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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 |
This paper discusses a commutative group, ring, and field under addition and multiplication of the binomial coefficients in combinatorial geometric series. The combinatorial geometric series is derived from the multiple summations of geometric series. The coefficient for each term in combinatorial geometric series refers to a binomial coefficient. This idea can enable the scientific researchers to solve the real life problems.
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| format | Article |
| id | doaj-art-0fb48b93260d43bb91d2721afeecc3bc |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2022-11-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-0fb48b93260d43bb91d2721afeecc3bc2025-02-02T19:55:46ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752022-11-0181110.18540/jcecvl8iss11pp14859-01iSkew Field on the Binomial Coefficients in Combinatorial Geometric SeriesChinnaraji Annamalai0Antonio Marcos de Oliveira Siqueira1Indian Institute of Technology Kharagpur, IndiaFederal University of Viçosa, Brazil This paper discusses a commutative group, ring, and field under addition and multiplication of the binomial coefficients in combinatorial geometric series. The combinatorial geometric series is derived from the multiple summations of geometric series. The coefficient for each term in combinatorial geometric series refers to a binomial coefficient. This idea can enable the scientific researchers to solve the real life problems. https://periodicos.ufv.br/jcec/article/view/14859Computation, Binomial Coefficient, Skew Field |
| spellingShingle | Chinnaraji Annamalai Antonio Marcos de Oliveira Siqueira Skew Field on the Binomial Coefficients in Combinatorial Geometric Series The Journal of Engineering and Exact Sciences Computation, Binomial Coefficient, Skew Field |
| title | Skew Field on the Binomial Coefficients in Combinatorial Geometric Series |
| title_full | Skew Field on the Binomial Coefficients in Combinatorial Geometric Series |
| title_fullStr | Skew Field on the Binomial Coefficients in Combinatorial Geometric Series |
| title_full_unstemmed | Skew Field on the Binomial Coefficients in Combinatorial Geometric Series |
| title_short | Skew Field on the Binomial Coefficients in Combinatorial Geometric Series |
| title_sort | skew field on the binomial coefficients in combinatorial geometric series |
| topic | Computation, Binomial Coefficient, Skew Field |
| url | https://periodicos.ufv.br/jcec/article/view/14859 |
| work_keys_str_mv | AT chinnarajiannamalai skewfieldonthebinomialcoefficientsincombinatorialgeometricseries AT antoniomarcosdeoliveirasiqueira skewfieldonthebinomialcoefficientsincombinatorialgeometricseries |