International Journal of Theoretical and Applied Mathematics

Volume 3, Issue 2, April 2017

  • Development of Napoleon’s Theorem on the Rectangles in Case of Inside Direction

    Mashadi, Chitra Valentika, Sri Gemawati

    Issue: Volume 3, Issue 2, April 2017
    Pages: 54-57
    Received: 25 October 2016
    Accepted: 12 January 2017
    Published: 9 February 2017
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    Abstract: In this paper will be discussed Napoleon’s Theorem on rectangles that has two parallel pair sides of the square case that built inside direction. The theorem will be proven by using congruence approach. At the end of Napoleon's theorem was discussed the development of Geogebra application in case of inside direction.
  • Development of a New One-Step Scheme for the Solution of Initial Value Problem (IVP) in Ordinary Differential Equations

    Fadugba Sunday Emmanuel, Falodun Bidemi Olumide

    Issue: Volume 3, Issue 2, April 2017
    Pages: 58-63
    Received: 27 October 2016
    Accepted: 16 January 2017
    Published: 9 February 2017
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    Abstract: In this paper, a new one-step scheme was developed for the solution of initial value problems of first order in ordinary differential equations. In its development a combination of interpolating function and Taylor series were used. The method was used for the solution of initial value problems emanated from real life situations. The numerical resu... Show More
  • Dot Products and Matrix Properties of 4×4 Strongly Magic Squares

    Neeradha. C. K., V. Madhukar Mallayya

    Issue: Volume 3, Issue 2, April 2017
    Pages: 64-69
    Received: 4 November 2016
    Accepted: 27 December 2016
    Published: 13 February 2017
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    Abstract: Magic squares have been known in India from very early times. The renowned mathematician Ramanujan had immense contributions in the field of Magic Squares. A magic square is a square array of numbers where the rows, columns, diagonals and co-diagonals add up to the same number. The paper discuss about a well-known class of magic squares; the strong... Show More
  • Near Ground Path Loss Prediction for UMTS 2100 MHz Frequency Band Over Propagating Over a Smooth-Earth Terrain

    Umesi Cosmos Nnanyerem, Ozuomba Simeon, Afolayan J. Jimoh

    Issue: Volume 3, Issue 2, April 2017
    Pages: 70-76
    Received: 25 October 2016
    Accepted: 17 January 2017
    Published: 16 February 2017
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    Abstract: In this paper, path loss prediction for near ground propagation of third generation (3G)-based Universal Mobile Telecommunications System (UMTS) network signal in the 2100 MHz frequency band over a smooth-earth terrain is presented. Particularly, the attenuation due to diffraction is estimated based on ITU-R Recommendation P.526-13 for diffraction ... Show More
  • Optimization of Vegetable Planting and Allocation

    Xie Siqi, Chong Yangjing, Sun Wenyuan

    Issue: Volume 3, Issue 2, April 2017
    Pages: 77-81
    Received: 29 December 2016
    Accepted: 12 January 2017
    Published: 27 February 2017
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    Abstract: In this paper, we aiming at question about vegetable planting. First we use the method of line segment superposition to calculate the minimum distance between 8 vegetable planting bases and 35 sales points’ and every route must through traffic junction. After we get the shortest distance, we change the conditions and establish the relationship betw... Show More
  • Combinatorial Structures to Construct Simple Games and Molecules

    Xavier Molinero

    Issue: Volume 3, Issue 2, April 2017
    Pages: 82-87
    Received: 28 October 2016
    Accepted: 12 January 2017
    Published: 2 March 2017
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    Abstract: We connect three different topics: combinatorial structures, game theory and chemistry. In particular, we establish the bases to represent some simple games, defined as influence games, and molecules, defined from atoms, by using combinatorial structures. First, we characterize simple games as influence games using influence graphs. It let us to mo... Show More
  • Time-Scale Analysis of Malaria Dynamics in Human-Mosquito Population

    Kodwo Annan

    Issue: Volume 3, Issue 2, April 2017
    Pages: 88-93
    Received: 20 January 2017
    Accepted: 13 February 2017
    Published: 2 March 2017
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    Abstract: More realistic human-mosquito population mathematical model in which re-infected asymptomatic humans are considered is presented. Six possible time-scale of events for model transition from non-endemic to endemic state are analyzed. Results show that the buildup of the latent asymptomatic humans at steady state is the main dynamics of malaria in th... Show More
  • Tuning and Cross Validation of Blomquist-Ladell Model for Pathloss Prediction in the GSM 900 Mhz Frequency Band

    Njoku Chukwudi Aloziem, Ozuomba Simeon, Afolayan J. Jimoh

    Issue: Volume 3, Issue 2, April 2017
    Pages: 94-99
    Received: 25 October 2016
    Accepted: 23 December 2016
    Published: 18 April 2017
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    Abstract: In this paper, Blomquist-Ladell model is tuned and used for the prediction of total pathloss for GSM signal in the 900 MHz band. The model combined free-space loss, excess plane-earth loss and tunable multiple knife-edge diffraction loss to give the total loss. Pathloss data captured from two drive test conducted in Uyo suburban area are used in th... Show More