Journal of Statistics and Mathematical Engineering

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EISSN : 2581-7647
Total articles ≅ 17
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K. Pattabiraman, J. Vimalnath
Journal of Statistics and Mathematical Engineering, Volume 8, pp 13-26; https://doi.org/10.46610/josme.2022.v08i02.003

Abstract:
The irregularity-based topological indices are applied for computational evaluation of non-ordinary molecular graphs. The improvement of irregularity-primarily based total indices is associated at the conversion of a structural graph into a complete matter describing the irregularity of the molecular layout at the map. In structural science and chemistry, it is critical to be aware of how uncommon a molecular structure is in particular contexts and difficulties. In this paper, we discuss the QSPR analysis of sixteen irregularity indices and certain alkane structures.
L. M. Angadi
Journal of Statistics and Mathematical Engineering, Volume 8, pp 6-12; https://doi.org/10.46610/josme.2022.v08i02.002

Abstract:
The potential energy field produced by a given charge or mass density distribution is described using the Poisson equation. This study presents a numerical solution to the Poisson equation using a wavelet-based multi-grid approach. The proposed method is superior to the existing method in terms of fast convergence and reduced processing time. Some of the problems are used to show the method's applicability and validity.
Halim Al Siraj, Sankar Prasad Mukherjee
Journal of Statistics and Mathematical Engineering, Volume 8, pp 1-5; https://doi.org/10.46610/josme.2022.v08i02.001

Abstract:
It is said that Leibniz and Newton were the inventors of Calculus. Taking into granted the above, if we review it in the light of Indian contributions, we find that Newton and Leibniz cannot be credited as inventors. The very basics of Calculus, i.e., derivatives, integration, Taylor's series, trigonometric series (sine, cosine, tan) and most importantly the fundamental theorem of Calculus were the gifts of Indian Mathematicians. We will be failing in our duty, if the astonishing mathematicians Aryabhatta, Brahmagupta, Bhaskaracharya-II, Madhava and their followers are ignored in this regard. If their contributions be put in a coherent Framework, it will be found that they were the actual fore-father inventors of Calculus. Here, we would especially want to throw glimpses of Madhava of Sangamagrama's contribution.
Ms. Rajeshri Puranik, Sharad Pokley
Journal of Statistics and Mathematical Engineering, Volume 8, pp 28-41; https://doi.org/10.46610/josme.2022.v08i01.005

Abstract:
Owing to the various social media networks and the resulting plethora of data, there is a continuous change in social network research. This change has its own advantages and disadvantages for mathematical and statistical modeling. In this paper, we provide a mathematical model for Text Analytics parameters used in social networks. Game theory is used as the main tool in this modeling, as it works effectively in a decision-making process. In order to obtain the payoffs of the game theory model, the intercept parameter of Regression Analysis is used. Also, the paper has provided the solution for the proposed model of Text Analytics parameters of the social networking sites viz. Facebook and Twitter.
Sankar Prasad Mukherjee, Debabrata Jana
Journal of Statistics and Mathematical Engineering, Volume 8, pp 24-27; https://doi.org/10.46610/josme.2022.v08i01.004

Abstract:
This paper is an effort to assemble in a synchronized manner, the brilliant contribution of the illustrious Keralian Mathematician and Astronomers, since Vararuchi (fourteenth century C.E) to Medieval Periods Madhava (C.1340- 1425), Paramesvara (C.1360- 1455), Nilakantha Somayaji (C. 1444 -1545) and his followers. It would entail that Indian Mathematics was well ahead by 350 to 400 years in comparison to European contributors Newton, Leibnitz, Taylor and others.
J. Siva Ranjini, V. Mahalakshmi
Journal of Statistics and Mathematical Engineering, Volume 7; https://doi.org/10.46610/josme.2021.v07i03.003

Abstract:
The theory of Intuitionistic fuzzy set is the extension of the fuzzy set that deals with truth and false membership data. We will discuss along with some fundamentals and their algebraic Properties. The results obtained are entirely more beneficial to the researchers. We also expand the Complement of the Set and Homomorphism. The motivation of the present manuscript is to extend the concept of Intuitionistic fuzzy X-subalgebra in near-subtraction semigroups.
M. Vigneshwaran, S. Ranganayaki
Journal of Statistics and Mathematical Engineering, Volume 7; https://doi.org/10.46610/josme.2021.v07i03.001

Abstract:
In this paper, the concepts of d*g? - homeomorphism and d*g?c - homeomorphism are introduced and the relationships between the newly defined homeomorphisms and the existing homeomorphisms are established and some of their properties are derived. It is show that the composition of two d*g?-homeomorphisms need not be d*g? - homeomorphism.
M. Vigneshwaran, S. Ranganayaki
Journal of Statistics and Mathematical Engineering, Volume 7; https://doi.org/10.46610/josme.2021.v07i03.002

Abstract:
We introduce the concept of d*g?-closed sets in a topological space and investigate their properties. Moreover, we investigate new separation axioms and new functions in topological spaces.
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