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Mathematical Journal of Interdisciplinary Sciences
Number of Followers: 1  

  This is an Open Access Journal Open Access journal
ISSN (Print) 2278-9561 - ISSN (Online) 2278-957X
Published by Chitkara University Homepage  [9 journals]
  • Some Identities Involving the Generalized Lucas Numbers

    • Authors: Mansi S. Shah Mansi S. Shah; Devbhadra V. Shah Devbhadra V. Shah (Author
      PubDate: Thu, 22 Oct 2020 11:29:53 +053
  • Determination of Exponential Congestion Factor of Road Traffic Flow Caused
           By Irregular Occurrences

    • Authors: DK Gangeshwer; Thaneshwar Lal Verma (Author
      Abstract: 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.
      PubDate: Thu, 22 Oct 2020 11:28:09 +053
  • Infinite Nested Radicals - A Way to Express All Quantities Rational,
           Irrational Transcendental By a Single Integer Two

    • Authors: Narinder Kumar Wadhawan; Priyanka Wadhawan (Author
      Abstract: 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.
      PubDate: Fri, 09 Oct 2020 10:56:51 +053
  • A New Proof of the Lester’s Perimeter Theorem in Euclidean Space

    • Authors: Oğuzhan Demirel; Leyla Aslan, Damla TOPAL (Author
      Abstract: An injection defined from Euclidean space  n-space E^n to itself which preserves the triangles of perimeter 1 is an Eucldean motion.   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  and Euclidean space.
      PubDate: Mon, 30 Mar 2020 00:00:00 +053
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
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