Mathematical Journal of Interdisciplinary Sciences <div class="archives"> <h4>Welcome to MATHEMATICAL JOURNAL OF INTERDISCIPLINARY SCIENCES</h4> </div> <div class="about_jorunal_content"> <p>The journal is devoted to publication of original research papers, survey articles and review articles from all branches of Mathematical Sciences and their applications in engineering and other scientific disciplines with specific thrust towards recent developments in the chosen fields. It is an endeavour to propagate and exchange ideas for research, encourage creative thinking, and provide access to knowledge without any barriers. It has a broad scope that covers fields of pure and applied mathematics, mathematical physics, probability, theoretical and applied statistics, process modelling, control theory, optimization techniques and other related areas. Thus, the journal welcomes papers, both in theoretical and applied fields, of original and expository type that address issues of inter-disciplinary nature and cross-curricular dimensions.</p> <p>The aim of the journal is to offer scientists, researchers and scientific community at large, the opportunity to share knowledge related to advancements in mathematical sciences and its applications in other disciplines by emphasizing on originality, quality, importance and relevance of published work.</p> <p>The ‘Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.)’ is an open access, peer-reviewed scholarly journal devoted to publishing high- quality papers with an internationally recognized Editorial Board Members. It is published twice a year (in March and September).</p> </div> Chitkara University en-US Mathematical Journal of Interdisciplinary Sciences 2278-9561 <div class="archives"> <h4>License and Copyright Policy</h4> </div> <div class="about_jorunal_content"> <p>Chitkara University Publications for the journal (Math. J. Interdiscip. Sci.) protects author rights e.g., the results, analysis, methodology of Theoretical calculations or experiment. The copyright transfer form with open access policy under the creative common licenses of journal provides all rights specifically to the author (s); except to sell, distribution of the material in any form to any third party. Also, the authors are encouraged to submit the author’s copy of the accepted paper to an appropriate archive e.g. and/or in their institution’s repositories, or on their personal website also.</p> <p>Author(s) should mention reference of the Journal of Chitkara University Publications and DOI number of the publication carefully on the required page of the depository, in all above-mentioned cases. The copyright and license policy of Chitkara University Publications not only protect the author's rights but also protect the integrity and authenticity of the scientific records and takes very seriously about the plagiarism, fraud or ethics disputes.</p> <p>Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at <a href=""></a>. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.</p> <p>View Legal Code of the above mentioned license, <a href=""></a></p> <p>View Licence Deed here <a href=""></a></p> <div class="su-table su-table-style-1"> <table width="100%" cellspacing="0px" cellpadding="0px"> <tbody> <tr> <td><a href="" rel="license"><img style="border-width: 0;" src="" alt="Creative Commons License"></a></td> <td>Mathematical Journal of Interdisciplinary Sciences by <a href="" rel="cc:attributionURL">Chitkara University Publications</a> is licensed under a <a href="" rel="license">Creative Commons Attribution 4.0 International License</a>. Based on a work at <a href="" rel="dct:source"></a></td> </tr> </tbody> </table> </div> </div> Linear Modelling of The State-Wise Yield of Principal Crops in India <p>Modelling techniques are applied in agriculture field. Yield of rice is modelled using the method of least squares in Time Series Analysis and linear equations are fitted for the state-wise average yield of crops in kg per hectare in India and also for the average yield of various principal crops in Tamil Nadu.</p> P Gayathri K R Subramanian Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 69 76 k-Contra Harmonic Mean Labeling of Snake Related Graphs <p><img src="/public/site/images/ojsadmin/Untitled9.png"></p> R Gopi Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 77 80 Collapsible and Spiky Wave for Dust Acoustic Waves in Dusty Plasmas <p>In multicomponent dusty plasma, the Sagdeev Potential (SP) approach is employed to formulate the Energy Equation for arbitrary amplitude dust acoustic waves (DAWs), where an amount of electrons is trapped in potential well. The dependence of amplitude and width of the solitons of Sagdeev Potential on plasma parameters is widely discussed. The range of Mach number has determined for solitary waves (SWs) with the help of critical Mach number. The solution of the Energy Equation obtained, has been discussed by expanding the expression for SP in the higher terms of φ . The different solutions of Energy Equation give us SWs, breakable waves, collapsible waves and SWs with spiky and explosive nature. The role of temperature ratio on the transformation of SWs to collapsible waves is discussed. With the help of standard values of plasma parameters relevant to such plasma environment, the results so obtained, are discussed. These results may help us to explain the nature of SWs in different astrophysical situations.</p> Ranjit K Kalita Jnanjyoti Sarma Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 81 92 Influence of Ferrofluid Lubrication on Longitudinally Rough Truncated Conical Plates with Slip Velocity <p>The study focuses on analyzing the effect of slip velocity in the case of a Ferrofluid squeeze film when the surface of truncated cone-shaped plates has a longitudinal roughness. Each oblique to the bottom plate was utilized by the external magnetic field. The bearing surface has a roughness that is designed with the help of a random stochastic variable having a nonzero mean, skewness and variance. The load carrying ability of a bearing system’s surface is determined by calculating the dispersal of pressure in the system, which is calculated by using the associated stochastically average Reynolds’ equation. The graphs obtained from the study shows that there is a correlation between the longitudinal surface roughness and the bearing system performance. The magnetic fluid lubrication has a positive impact on a system’s bearing capacity. However, the load bearing capacity declines as a result of the effect of slip. A high negative skewness of the surface roughness also has a positive impact on a bearing’s load carrying capacity. One interesting finding shows that contrasting to the results of transverse roughness, standard deviation positively impacts the load bearing capacity. This investigation suggests despite the im-portance of aspect ratio and semi vertical angle is significant for performance enhancement, it is also essential to maintain the slip at the lowest level.</p> M M Munshi A R Patel G M Deheri Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 93 101 Radial Basis Neural Network for Availability Analysis <p>The appliance of radial basis neural network is demostrated in this paper. The method applies failure and repair rate signals to learn the hidden relationship presented into the input pattern. Statistics of availability of several years is considered and collected from the management of concern plant. This data is considered to train and calidate the radial basis neural network (RBNN). Subsequently validated RBNN is used to estimate the availability of concern plant. The main objective of using neural network approach is that it’s not require assumption, nor explicit coding of the problem and also not require the complete knowledge of interdependencies, only requirement is raw data of system functioning.</p> Deepika Garg Naresh Sharma Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 103 110 Influence of Mathematical and Astronomical Developments in Medieval Kerala on Vāstuśāstra <p>The contribution in the field of mathematics is unparalleled. The concept of zero and the place value system is alone sufficed to place India in a high pedestal. Historians were generally under the impression that Indian supremacy in Mathematics came to an end with Bhaskaracharya (1114–1185) who is also known as Bhaskara II.Recent researches and publications of books like ‘Crest of the peacock’ written by George Gheverghese Joseph, has brought out the marvelous achievements of Southern India, especially Kerala region after the period of Bhaskaracharya which produced many results surpassing the Europeans in its indigenous style till the advent of Western Education system in early 19th Cent. This medieval contribution includes mathematical analysis and first steps in Calculus and many outstanding discoveries in astronomy. These contributions in Mathematics as well as in Astronomy are now grouped and studied under the title “Kerala School”. Accordingly, Sangamagrama Madhava (14th Cent.), doyen of Kerala School, is recognized as the ‘Father of infinitesimal Analysis’.In this paper the attempt is made to analyse the influence of Kerala School in the development of traditional building science and architecture. This branch of knowledge is generally categorized under the term ‘Vāstuśāstra’.`</p> Rajasekhar P Babu T Jose Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 111 116 Commutativity of Prime Ring with Orthogonal Symmetric Biderivations <p><img src="/public/site/images/ojsadmin/Untitled11.png"></p> B Ramoorthy Reddy C Jaya Subba Reddy Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 117 120 On Some Special Property of The Farey Sequence <p>In this paper, some special property of the Farey sequence is discussed. We prove in each term of the Farey sequence, the sum of elements in the denominator is two times of the sum of elements in the numerator. We also prove that the Farey sequence contains a palindrome structure.</p> Ripan Saha Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 121 123 Bounds For The Complex Part of Phase Velocity <p>We study incompressible, inviscid, density stratified fluid with variable cross section in this present paper. For this problem, we have obtained a bound for the complex part of phase velocity. Furthermore, we have obtained an instability region which depends on number of parameters.</p> S Sridevi V Ganesh R Thenmozhy Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 125 134 Characteristic Graph vs Benzenoid Graph <p>A characteristic graph is a tree representative of its corresponding benzenoid (cyclic) graph. It may contain necessary information of several properties of benzenoids. The PI-index of benzenoids and their characteristic graphs are compared by correlating it to a structural property (π-electron energy) of the benzenoids using MLR analysis. PI index being applicable to both trees and cyclic graphs, yielded required results for benzenoid and their characteristic graph.</p> Sufia Aziz Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 135 147 Degree Based Multiplicative Connectivity Indices of Nanostructures <p>The Multiplicative topological indices of Phenylenic, Naphatalenic, Anthracene and Tetracenic Nanotubes are calculated. The indices like Multiplicative Zagreb, Multiplicative Hyper-Zagreb, Multiplicative Sum connectivity, Multiplicative product connectivity, General multiplicative Zagreb, Multiplicative ABC and Multiplicative GA indices are expressed as a closed formula for the known values of s, t. The proposed formulae will be very useful for the study of nanostructure in the field of nanotechnology.</p> S Sunantha P Gayathri Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 149 155 Performance of Moving Average (MA) Chart Under Three Delta Control Limits and Six Delta Initiatives <p>An SQC chart is a graphical tool for representation of the data for knowing the extent of variations from the expected standard. This technique was first suggested by W.A. Shewhart of Bell Telephone Company based on 3σ limits. M. Harry, the engineer of Motorola has introduced the concept of six sigma in 1980. In 6σ limits, it is presumed to attain 3.4 or less number of defects per million of opportunities. Naik V.D and Desai J.M proposed an alternative of normal distribution, which is named as moderate distribution. The parameters of this distribution are mean and mean deviation. Naik V.D and Tailor K.S. have suggested the concept of 3-delta control limits and developed various control charts based on this distribution. Using these concepts, control limits based on 6-delta is suggested in this paper. Also the moving average chart is studied by using 6-delta methodology. A ready available table for mean deviation is prepared for the quality control experts for taking fast actions.&nbsp;</p> Kalpesh S Tailor Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 157 160 Gaussian Neighborhood-prime Labeling of Graphs Containing Hamiltonian Cycle <p>In this paper, we examine Gaussian neighborhood-prime labeling of generalized Peterson graph and graphs which contain Hamiltonian cycle.</p> N P Shrimali S T Trivedi Copyright (c) 2019 Mathematical Journal of Interdisciplinary Sciences 2019-03-06 2019-03-06 7 2 161 165