Vector Space on the Binomial Coefficients in Combinatorial Geometric Series

Chinnaraji Annamalai; Antonio Marcos de Oliveira Siqueira

doi:10.18540/jcecvl9iss6pp15413-01e

Vector Space on the Binomial Coefficients in Combinatorial Geometric Series

Authors

Chinnaraji Annamalai Department of Management, Indian Institute of Technology, Kharagpur, West Medinipur, West Bengal, Kharagpur – 721302, India https://orcid.org/0000-0002-0992-2584
Antonio Marcos de Oliveira Siqueira Federal University of Viçosa, Brazil https://orcid.org/0000-0001-9334-0394

DOI:

https://doi.org/10.18540/jcecvl9iss6pp15413-01e

Keywords:

computation, binomial coefficient, vector space

Abstract

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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Published

2023-03-14

How to Cite

Annamalai, C., & Siqueira, A. M. de O. (2023). Vector Space on the Binomial Coefficients in Combinatorial Geometric Series. The Journal of Engineering and Exact Sciences, 9(6), 15413–01e. https://doi.org/10.18540/jcecvl9iss6pp15413-01e