Lemma on the Binomial Coefficients of Combinatorial Geometric Series by Chinnaraji Annamalai, Antonio Marcos de Oliveira Siqueira

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Computation and Calculus for Combinatorial Geometric Series and Binomial Identities and Expansions by Chinnaraji Annamalai

“…This paper presents combinatorial geometric series, innovative binomial coefficients, combinatorial equations, binomial expansions, calculus with combinatorial geometric series, and innovative binomial theorems. …”
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Abelian Group on the Binomial Coefficients in Combinatorial Geometric Series by Chinnaraji Annamalai, Antonio Marcos de Oliveira Siqueira

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Geometric Representations of Interacting Maps by Tsuyoshi Kato

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COMBINATORIAL TECHNIQUE FOR OPTIMIZING THE COMBINATION by Chinnaraji Annamalai, Junzo Watada, Said Broumi, Vishnu Narayan Mishra

“… This paper presents an innovative computing method and models for optimizing the combination defined in combinatorics. The optimized combination has been derived from the iterative computation of multiple geometric series and summability by specialized approach. …”
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