https://mjis.chitkara.edu.in/index.php/mjis/issue/feed Mathematical Journal of Interdisciplinary Sciences 2020-03-30T14:28:25+0530 Dr. Ashok Kumar editor.mjis@chitkara.edu.in Open Journal Systems <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> https://mjis.chitkara.edu.in/index.php/mjis/article/view/207 TWO- PHASE STRATIFIED SAMPLING ESTIMATOR FOR POPULATION MEAN IN THE PRESENCE OF NONRESPONSE USING SINGLE AUXILIARY VARIABLE. 2020-03-30T14:21:56+0530 Akan Anieting akaninyeneanieting@uniuyo.edu.ng <p>&nbsp;</p> <p><strong>: </strong>In this article, a new estimator for population mean in two-phase stratified sampling in the presence of nonresponse using single auxiliary variable has been proposed. The bias and Mean Squared Error (MSE) of the proposed estimator has been given using large sample approximation. The empirical study shows that the MSE of the proposed estimator is more efficient than existing estimators. The optimum values of first and second phase sample have been determined.</p> 2020-03-30T00:00:00+0530 Copyright (c) 2020 A.E. Anieting and E. I. Enang https://mjis.chitkara.edu.in/index.php/mjis/article/view/205 A New Proof of the Lester’s Perimeter Theorem in Euclidean Space 2020-03-30T14:23:19+0530 Oğuzhan Demirel odemirel@aku.edu.tr Leyla Aslan leylaaslan3356@gmail.com Damla TOPAL damla.1tpl@gmail.com <p>An injection defined from Euclidean space&nbsp; n-space E^n to itself which preserves the triangles of perimeter 1 is an Eucldean motion.&nbsp; &nbsp;J. Lester gave two different proofs for this theorem in Euclidean plane [1] and Euclidean space [2]. In this study a new technique is developed for the proof of this theorem which is valid in both Euclidean plane &nbsp;and Euclidean space.</p> 2020-03-30T00:00:00+0530 Copyright (c) 2020 O. Demirel et al. https://mjis.chitkara.edu.in/index.php/mjis/article/view/206 STABILITY ANALYSIS OF THE CORRUPTION FREE EQUILIBRIUM OF THE MATHEMATICAL MODEL OF CORRUPTION IN NIGERIA 2020-03-30T14:28:25+0530 Victor Akinsola solajide123@gmail.com ADEYEMI BINUYO binuyok@gmail.com <p><strong>ABSTRACT</strong></p> <p>In this paper, a mathematical model of the transmission dynamics of corruption among populace is analyzed. The corruption free equilibrium state, characteristic equation and Eigen values of the corruption model were obtained. The basic reproductive number of the corruption model was also determined using the next generation operator technique at the corruption free equilibrium points. The condition for the stability of the corruption free equilibrium state was determined. The local stability analysis of the mathematical model of corruption was done and the results were presented and discussed accordingly. Recommendations were made from the results on measures to reduce the rate of corrupt practices among the populace.&nbsp;&nbsp;&nbsp;</p> <p>&nbsp;</p> <p><strong>Keywords:</strong> Basic reproductive number, Stability, Characteristic Equations, Corruption, Mathematical Model. Corruption Free Equilibrium State.</p> <p><strong>MSC: </strong>93A30; 93C15; 37C75; 34D20; 34A34.</p> 2020-03-30T00:00:00+0530 Copyright (c) 2020 Adeyemi Olukayode Binuyo and Victor Olajide Akinsola https://mjis.chitkara.edu.in/index.php/mjis/article/view/214 SCIENTIFIC NUMERICAL PATTERN IN STRINGED-FRETTED MUSICAL INSTRUMENT 2020-03-30T14:21:59+0530 Naresh Sharma naresh.sharma2006@gmail.com Anindita Roy Chowdhury naresh.sharma2006@gmail.com <p>Music, a creative art has a strong foundation on science and mathematics. Source of music can vary from vocal chord to various types of musical instruments. One of the popular stringed and fretted musical instrument, the guitar has been discussed here. The structure of the guitar is based on mathematical and scientific concepts. Harmonics and frequency play pivotal role in generation of music from a guitar. In this paper, the authors have investigated various factors related to the structure of a guitar. Aspects related to the musical notes of a guitar have been analyzed to gain a better insight into the mathematical pattern involved in the music of a guitar.</p> 2020-03-30T00:00:00+0530 Copyright (c) 2020 Anindita Roy Chowdhury and Naresh Sharma