Computation of Combinatorial Geometric Series and its Combinatorial Identities for Cryptographic Algorithm and Machine Learning

Combinatorial techniques with binomial coefficients, factorials and multinomial computation are used as computing algorithm or cryptographic algorithm for the programs development to apply in artificial intelligence and cybersecurity. Methodological advances in combinatorics and mathematics play a vital role in machine learning and cryptology for data analysis and artificial intelligence-based cybersecurity for protection of the computing systems, devices, networks, programs and data from cyber-attacks. In this article, combinatorial geometric series is discussed more for the application of machine learning and cybersecurity.