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Volume 3, Issue 1, January 2018, Page: 1-6
Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures
Chinnaraji Annamalai, Vinod Gupta School of Management, Indian Institute of Technology, Kharagpur, India
Received: Oct. 6, 2017;       Accepted: Oct. 24, 2017;       Published: Dec. 20, 2017
Abstract
This paper presents a new mathematical model for formation as well as computation of geometric series and summability in step-by-step procedures. Also, it provides mathematical structures for geometric series-ordered terms. The novel mathematical model uses Annamalai’s computing method of geometric series and summability, which provided a technique to establish the algorithmic geometric series and its formulae in an earlier paper, for further improvement in the scientific research study. This mathematical/computational models of geometric series are widely used in the fields of physics, engineering, biology, medicine, economics, computer science, queueing theory, finance, and management for the purpose of research and development meeting today’s challenges. In an earlier research article, the geometric series along with exponential decay model were used to determine effective medicine dosage. Few specific mathematical formulae had also been discovered by using Annamalai’s algorithmic geometric series and summability. This could be very interesting and informative for current students and researchers.
Keywords
Algorithmic Geometric Series, Mathematical Structure, Annamalai’s Computing Model, Summability
Chinnaraji Annamalai, Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures, Mathematics and Computer Science. Vol. 3, No. 1, 2018, pp. 1-6. doi: 10.11648/j.mcs.20180301.11
Reference
[1]
Annamalai C 2009 “Computational geometric series model with key applications in informatics”, International Journal of Computational Intelligence Research, Vol 5(4), pp 485-499.
[2]
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.
[3]
Annamalai C 2010 “Applications of Exponential Decay and Geometric Series in Effective Medicine Dosage”, Journal Advances in Bioscience and Biotechnology, Vol 1, pp 51-54.
[4]
Annamalai C 2011 “Computational Model to study the Dose Concentration in Bloodstream of Patients”, International Journal of Medical and Pharmaceutical Sciences, Vol 1(5), pp 1-7.
[5]
Annamalai C 2011 “ACM cryptographic key exchange for secure communications”, International Journal of Cryptology Research, Vol. 3(1), pp 27-33.
[6]
Ramya R 2015 “Geometric Series in Financial Mathematics”, International Journal of Multidisciplinary Research and Modern Education, Vol 1(1), pp 305-308.
[7]
Annamalai C 2015 “A Novel Approach to ACM-Geometric Progression”, Journal of Basic and Applied Research International, Vol. 2(1), pp 39-40.
[8]
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.
[9]
Donna Roberts, Geometric Sequences and Series.
[10]
Alfred S. Posamentier, Charles T. Salkind, Challenging Problems in Algebra.