Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures

Chinnaraji Annamalai

doi:doi:10.11648/j.mcs.20180301.11

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Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures

Chinnaraji Annamalai

Published in Mathematics and Computer Science (Volume 3, Issue 1)

Received: 6 October 2017 Accepted: 24 October 2017 Published: 20 December 2017

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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.

Published in	Mathematics and Computer Science (Volume 3, Issue 1)
DOI	10.11648/j.mcs.20180301.11
Page(s)	1-6
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Algorithmic Geometric Series, Mathematical Structure, Annamalai’s Computing Model, Summability

References

[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.

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APA Style

Chinnaraji Annamalai. (2017). Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures. Mathematics and Computer Science, 3(1), 1-6. https://doi.org/10.11648/j.mcs.20180301.11

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ACS Style

Chinnaraji Annamalai. Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures. Math. Comput. Sci. 2017, 3(1), 1-6. doi: 10.11648/j.mcs.20180301.11

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AMA Style

Chinnaraji Annamalai. Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures. Math Comput Sci. 2017;3(1):1-6. doi: 10.11648/j.mcs.20180301.11

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@article{10.11648/j.mcs.20180301.11,
  author = {Chinnaraji Annamalai},
  title = {Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures},
  journal = {Mathematics and Computer Science},
  volume = {3},
  number = {1},
  pages = {1-6},
  doi = {10.11648/j.mcs.20180301.11},
  url = {https://doi.org/10.11648/j.mcs.20180301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20180301.11},
  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.},
 year = {2017}
}

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TY  - JOUR
T1  - Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures
AU  - Chinnaraji Annamalai
Y1  - 2017/12/20
PY  - 2017
N1  - https://doi.org/10.11648/j.mcs.20180301.11
DO  - 10.11648/j.mcs.20180301.11
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AB  - 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.
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Author Information

Chinnaraji Annamalai

Vinod Gupta School of Management, Indian Institute of Technology, Kharagpur, India

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APA Style

Chinnaraji Annamalai. (2017). Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures. Mathematics and Computer Science, 3(1), 1-6. https://doi.org/10.11648/j.mcs.20180301.11

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ACS Style

Chinnaraji Annamalai. Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures. Math. Comput. Sci. 2017, 3(1), 1-6. doi: 10.11648/j.mcs.20180301.11

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AMA Style

Chinnaraji Annamalai. Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures. Math Comput Sci. 2017;3(1):1-6. doi: 10.11648/j.mcs.20180301.11

Copy | Download

@article{10.11648/j.mcs.20180301.11,
  author = {Chinnaraji Annamalai},
  title = {Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures},
  journal = {Mathematics and Computer Science},
  volume = {3},
  number = {1},
  pages = {1-6},
  doi = {10.11648/j.mcs.20180301.11},
  url = {https://doi.org/10.11648/j.mcs.20180301.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20180301.11},
  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.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Annamalai’s Computing Model for Algorithmic Geometric Series and Its Mathematical Structures
AU  - Chinnaraji Annamalai
Y1  - 2017/12/20
PY  - 2017
N1  - https://doi.org/10.11648/j.mcs.20180301.11
DO  - 10.11648/j.mcs.20180301.11
T2  - Mathematics and Computer Science
JF  - Mathematics and Computer Science
JO  - Mathematics and Computer Science
SP  - 1
EP  - 6
PB  - Science Publishing Group
SN  - 2575-6028
UR  - https://doi.org/10.11648/j.mcs.20180301.11
AB  - 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.
VL  - 3
IS  - 1
ER  -

Copy | Download