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 seri...

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Detalles Bibliográficos
Autores: Annamalai, Chinnaraji, Siqueira, Antonio Marcos de Oliveira
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:Brasil
Institución:Universidade Federal de Viçosa (UFV)
Repositorio:The Journal of Engineering and Exact Sciences
Idioma:inglés
OAI Identifier:oai:ojs.periodicos.ufv.br:article/15413
Acceso en línea:https://periodicos.ufv.br/jcec/article/view/15413
Access Level:acceso abierto
Palabra clave:computation, binomial coefficient, vector space
Descripción
Sumario: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.