Chitkara University Publications

Analysis and Modelling of Annamalai Computing Geometric Series and Summability

Abstract:

This paper presents a mathematical model for the formation as well as computation of geometric series in a novel way. Using Annamalai computing methoda simple mathematical model is established for analysis and manipulation of geometric series and summability.This new modelcould be used in the research fields of physics, engineering, biology, economics, computer science, queueing theory, and finance. In this paper, a novel computational model had also been developed such that a∑i=k∞ yi=ayk/1-y and ∑i=0∞ j=i∞ ayj=a/(1-y)2,(0<y<1). This could be very interesting and informative for current students and researchers.

Author(s):

Chinnaraji Annamalai, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal

DOI: 

Keywords: 

Annamalai computing method, Computational geometric series

References:

Annamalai C 2009 “Computational geometric series model with key applications in informatics”, International Journal of Computational Intelligence Research, Vol5(4), pp 485–499.

Annamalai C 2009 “A novel computational technique for the geometric progression of powers of two”, Journal of Scientific and Mathematical Research, Vol 3, pp 16–17.

Annamalai C 2010 “Applications of Exponential Decay and Geometric Series inEffective Medicine Dosage”, Journal Advances in Bioscience and Biotechnology, Vol 1, pp 51–54.

Annamalai C 2011 “Computational Model to study the Dose Concentration inBloodstream of Patients”, International Journal of Medical and PharmaceuticalSciences, Vol 1(5), pp 1–7.

Annamalai C 2011 “ACM cryptographic key exchange for secure communications”, International Journal of Cryptology Research, Vol. 3(1), pp27–33.

Annamalai C 2015 “A Novel Approach to ACM-Geometric Progression”, Journal of Basic and Applied Research International, Vol. 2(1), pp 39–40.

Annamalai C 2017 “Annamalai Computing Method for Formation of Geometric Series using in Science and Technology, International Journal for Science and Advance Research in Technology, Vol. 3(8), pp 287–289.

https://courses.lumenlearning.com/boundless-algebra/chapter/geometric-sequences-and-series/

 

 

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