Mathematical Journal of Interdisciplinary Sciences 2020-11-30T11:24:14+0530 Dr. Ashok Kumar 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> Some Identities Involving the Generalized Lucas Numbers 2020-11-30T11:23:16+0530 Mansi S. Shah Mansi S. Shah Devbhadra V. Shah Devbhadra V. Shah <p><img src="/public/site/images/ojsadmin/abstract.png"></p> 2020-10-22T11:29:53+0530 Copyright (c) 2020 Mansi S. Shah and Devbhadra V. Shah Determination of Exponential Congestion Factor of Road Traffic Flow Caused By Irregular Occurrences 2020-11-30T11:24:14+0530 DK Gangeshwer Thaneshwar Lal Verma <p>The present paper deals exponential congestion model of road traffic flow caused by irregular occurrences. Congestion that is happened by unpredictable events, for example, auto collisions, handicapped vehicles, climate conditions, over burdens and unsafe materials of vehicles. On account of these sorts of sudden occasions, the travel times taken on the roadways are questionable. We established the steady state conditions based on number of vehicles on road links. The large c values of those links, M/M/1 queues model under the batch service interruptions may be used. The formulation and assumptions of the proposed models have been developed. The exponential congestion factor (ECF) models based on M/MSP/C queuing have been presented. Finally, the numerical examples have also been discussed.</p> 2020-10-22T11:28:09+0530 Copyright (c) 2020 DK Gangeshwer, Thaneshwar Lal Verma (Author) Infinite Nested Radicals - A Way to Express All Quantities Rational, Irrational Transcendental By a Single Integer Two 2020-10-17T17:04:17+0530 Narinder Kumar Wadhawan Priyanka Wadhawan <p>This paper proves that all mathematical quantities including fractions, roots or roots of root, transcendental quantities can be expressed by continued nested radicals using one and only one integer 2. A radical is denoted by a square root sign and nested radicals are progressive roots of radicals. Number of terms in the nested radicals can be finite or infinite. Real mathematical quantity or its reciprocal is first written as cosine of an angle which is expanded using cosine angle doubling identity into nested radicals finite or infinite depending upon the magnitude of quantity. The finite nested radicals has a fixed sequence of positive and negative terms whereas infinite nested radicals also has a sequenceof positive and negative terms but the sequence continues infinitely. How a single integer 2 can express all real quantities, depends upon its recursive relation which is unique for a quantity. Admittedly, there are innumerable mathematical quantities and in the same way, there are innumerable recursive relations distinguished by combination of positive and negative signs under the radicals. This representation of mathematical quantities is not same as representation by binary system where integer two has powers 0, 1, 2, 3…so on but in nested radicals, powers are roots of roots.</p> 2020-10-09T10:56:51+0530 Copyright (c) 2020 Narinder Kumar Wadhawan, Priyanka Wadhawan A New Proof of the Lester’s Perimeter Theorem in Euclidean Space 2020-09-23T15:36:43+0530 Oğuzhan Demirel Leyla Aslan Damla TOPAL <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.