International Journal of Theoretical and Applied Mathematics

Volume 2, Issue 2, December 2016

  • Necessary and Sufficient Conditions of ε-Separability

    Maria A. Ivanchuk, Igor V. Malyk

    Issue: Volume 2, Issue 2, December 2016
    Pages: 28-34
    Received: 13 September 2016
    Accepted: 28 October 2016
    Published: 21 November 2016
    DOI: 10.11648/j.ijtam.20160202.11
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    Abstract: In this paper we propose a new approach for solving the classification problem, which is based on the using ε-nets theory. It is shown that for ε-separating of two sets one can use their ε-nets in the range space w.r.t. halfspaces, which considerably reduce the complexity of the separating algorithm for large sets’ sizes. Th... Show More
  • Aboodh Transform Homotopy Perturbation Method for Solving Third Order Korteweg -DeVries Equation

    Khalid Suliman Aboodh

    Issue: Volume 2, Issue 2, December 2016
    Pages: 35-39
    Received: 18 September 2016
    Accepted: 21 November 2016
    Published: 22 November 2016
    DOI: 10.11648/j.ijtam.20160202.12
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    Abstract: This Paper is discussing the theoretical approach of Aboodh transform [1] coupled with Homotopy Perturbation Method [3] that can be applied to higher order partial differential equations for finding exact as well as approximate solutions of the equations. Here Homotopy Perturbation Method using Aboodh transform [1], [16] has been applied to Kortewe... Show More
  • Uniform Approximation of the Generalized Cut Function by Erlang Cumulative Distribution Function and Application in Applied Insurance Mathematics

    Nikolay Kyurkchiev

    Issue: Volume 2, Issue 2, December 2016
    Pages: 40-44
    Received: 13 September 2016
    Accepted: 22 October 2016
    Published: 25 November 2016
    DOI: 10.11648/j.ijtam.20160202.13
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    Abstract: In this paper we study the uniform approximation of the generalized cut function by sigmoidal Erlang cumulative distribution function (Ecdf). The results are relevant for applied insurance mathematics and are intended for the actuary when preparing the strategy “Insurance responsibility”. Numerical examples are presented using CAS MATHEMATICA.
  • A Comparative Study of Homotopy Perturbation Aboodh Transform Method and Homotopy Decomposition Method for Solving Nonlinear Fractional Partial Differential Equations

    Mohand M. Abdelrahim Mahgoub, Abdelilah K. Hassan Sedeeg

    Issue: Volume 2, Issue 2, December 2016
    Pages: 45-51
    Received: 3 October 2016
    Accepted: 5 November 2016
    Published: 30 November 2016
    DOI: 10.11648/j.ijtam.20160202.14
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    Abstract: In this paper, we present the solution of nonlinear fractional partial differential equations by using the Homotopy Perturbation Aboodh Transform Method (HPATM) and Homotopy Decomposition Method (HDM). The Two methods introduced an efficient tool for solving a wide class of linear and nonlinear fractional differential equations. The results shown t... Show More
  • Structural-Parametric Models and Transfer Functions of Electromagnetoelastic Actuators Nano- and Microdisplacement for Mechatronic Systems

    Sergey Mikhailovich Afonin

    Issue: Volume 2, Issue 2, December 2016
    Pages: 52-59
    Received: 12 October 2016
    Accepted: 5 November 2016
    Published: 30 November 2016
    DOI: 10.11648/j.ijtam.20160202.15
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    Abstract: Structural-parametric models, parametric structural schematic diagrams and transfer functions of electromagnetoelastic actuators are determined. A generalized parametric structural schematic diagram of the electromagnetoelastic actuator is constructed. Effects of geometric and physical parameters of actuators and external load on its dynamic charac... Show More
  • Stochastic Modelling of the Transmission Dynamics of Measles with Vaccination Control

    Kitengeso Raymond E.

    Issue: Volume 2, Issue 2, December 2016
    Pages: 60-73
    Received: 6 September 2016
    Accepted: 4 November 2016
    Published: 5 December 2016
    DOI: 10.11648/j.ijtam.20160202.16
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    Abstract: Measles is still endemic in many parts of the world including developed nations, despite the availability of the infectious disease vaccine since 1963. Elimination of measles requires maintaining the effective reproduction number by achieving and maintaining low levels of susceptibility R0 ... Show More
  • The Type I Generalized Half Logistic Survival Model

    Phillip Oluwatobi Awodutire, Akintayo Kehinde Olapade, Oladapo Adedayo Kolawole

    Issue: Volume 2, Issue 2, December 2016
    Pages: 74-78
    Received: 26 October 2016
    Accepted: 10 November 2016
    Published: 9 December 2016
    DOI: 10.11648/j.ijtam.20160202.17
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    Abstract: In this paper, a three parameter probability distribution function called type I generalized half-logistic distribution is introduced to model survival or time to event data. The survival function, hazard function and median survival time of the survival model were established. Estimation of the parameters of the model was done using the maximum li... Show More
  • Quaternions Algebra and Its Applications: An Overview

    Mehdi Jafari

    Issue: Volume 2, Issue 2, December 2016
    Pages: 79-85
    Received: 3 October 2016
    Accepted: 9 December 2016
    Published: 10 December 2016
    DOI: 10.11648/j.ijtam.20160202.18
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    Abstract: The real quaternions algebra was invented by W.R. Hamilton as an extension to the complex numbers. In this paper, we study various kinds of quaternions and investigate some of basic algebraic properties and geometric applications of them.
  • Quarkonium Masses in the N-dimensional Space Using the Analytical Exact Iteration Method

    E. M. Khokha, M. Abu-Shady, T. A. Abdel-Karim

    Issue: Volume 2, Issue 2, December 2016
    Pages: 86-92
    Received: 25 October 2016
    Accepted: 7 November 2016
    Published: 10 December 2016
    DOI: 10.11648/j.ijtam.20160202.19
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    Abstract: The N- dimensional radial Schrödinger equation with an extended Cornell potential is solved. The analytical exact iteration method (AEIM) is applied. The energy eigenvalues are calculated in the N –dimensional space. The charmonium meson, the bottomonium meson and the meson masses are calculated in the N-dimensional space. The special cases are ob... Show More
  • Analysis of 6061 Aluminium Alloy Sheet Metal Bending Process for Various Thickness Using Finite Element Modelling

    G. Pradeep Dev, P. Sam Livingston, M. Shunmuganathan, R. Surendar, A. Siva Subramanian, A. Simon Christopher, K. C. Ganesh

    Issue: Volume 2, Issue 2, December 2016
    Pages: 93-99
    Received: 6 November 2016
    Accepted: 17 November 2016
    Published: 10 December 2016
    DOI: 10.11648/j.ijtam.20160202.20
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    Abstract: This study elaborates the bending process of Al 6061 aluminium alloy using three-point bend test. The permanent deformation takes place on the sheet metal strip as a result of severe plastic strain. One of the major issues in the sheet metal bending process is that the formation of spring back during unloading. This study involves combined design o... Show More
  • Selection of Stocks on the Ghana Stock Exchange Using Principal Component Analysis

    Abonongo John, Oduro F. T., Ackora-Prah J.

    Issue: Volume 2, Issue 2, December 2016
    Pages: 100-109
    Received: 19 July 2016
    Accepted: 12 September 2016
    Published: 10 December 2016
    DOI: 10.11648/j.ijtam.20160202.21
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    Abstract: A major problem in stock selection is the use of the right procedure(s) in identifying the best stock(s). The principal component analysis was employed as a data reduction technique in selecting stock(s) that characterize each sector on the Ghana Stock Exchange. The results indicated that, among the 9 stocks in the Finance sector, only 3 stocks (CA... Show More
  • Russell’s Paradox, Our Solution, and the Other Solutions

    Marcia R. Pinheiro

    Issue: Volume 2, Issue 2, December 2016
    Pages: 110-114
    Received: 16 October 2016
    Accepted: 18 November 2016
    Published: 17 December 2016
    DOI: 10.11648/j.ijtam.20160202.22
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    Abstract: The aim of this paper is proving that our solution is better than the solution presented by the own Russell and what is today the most accepted solution to the Russell’s Paradox, which is the solution of Zermelo and Frankael. We presented our solution a few years ago, and that is a solution that we believe should be considered to be the actual solu... Show More
  • Multichannel MMSE Wiener Filter Using Complex Real and Imaginary Spectral Coefficients for Distributed Microphone Speech Enhancement

    Marek B. Trawicki, Michael T. Johnson

    Issue: Volume 2, Issue 2, December 2016
    Pages: 115-120
    Received: 26 October 2016
    Accepted: 26 November 2016
    Published: 20 December 2016
    DOI: 10.11648/j.ijtam.20160202.23
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    Abstract: In this paper, the authors propose a frequency domain multichannel Wiener filter for distributed microphone speech enhancement using acoustic arrays. The current state-of-the-art single channel estimators achieve noticeable performance gains using the to-noise ratio (SNR) and segmental signal-to-noise ratio (SSNR) objective measures, which measure ... Show More
  • Restricted and Unrestricted Methods of Bootstrap Data Generating Processes

    Acha Chigozie K., Nwabueze Joy C.

    Issue: Volume 2, Issue 2, December 2016
    Pages: 121-126
    Received: 30 October 2016
    Accepted: 17 November 2016
    Published: 21 December 2016
    DOI: 10.11648/j.ijtam.20160202.24
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    Abstract: This study compares the restricted and unrestricted methods of bootstrap data generating processes (DGPs) on statistical inference. It used hypothetical datasets simulated from normal distribution with different ability levels. Data were analyzed using different bootstrap DGPs. In practice, it is advisable to use the restricted parametric bootstrap... Show More
  • ABC of the Sukuma Calendar

    Edward Anthony Makwaia, Charles Edward Ng’Hwaya Masule

    Issue: Volume 2, Issue 2, December 2016
    Pages: 127-135
    Received: 8 September 2016
    Accepted: 21 November 2016
    Published: 27 December 2016
    DOI: 10.11648/j.ijtam.20160202.25
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    Abstract: The aim of this study had been to document and to astronomically mimic in an algorithm the undocumented ancient lunar calendar of the Sukuma and that of the Nyamwezi sibling tribe of Tanzania which is at the verge of perishing due to the perishing of living memory about that calendar. It had been found that the Sukuma calendar marks its end of the ... Show More
  • The Psychosocial Analysis of the Problem of AIDS in Azerbaijan

    Olga Velimedova

    Issue: Volume 2, Issue 2, December 2016
    Pages: 136-139
    Received: 11 September 2016
    Accepted: 24 November 2016
    Published: 9 January 2017
    DOI: 10.11648/j.ijtam.20160202.26
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    Abstract: Given article is devoted one of the most serious and actual problems of modern life - a problem of AIDS which has gained the big distribution, as among youth, and other age categories of citizens. The present research was spent by means of following methods: a method of the included and latent supervision over behaviour of examinees, a method of na... Show More
  • Multiple Linear Regression Photovoltaic Cell Temperature Model for PVSyst Simulation Software

    Victor Etop Sunday, Ozuomba Simeon, Umoren Mfonobong Anthony

    Issue: Volume 2, Issue 2, December 2016
    Pages: 140-143
    Received: 25 October 2016
    Accepted: 12 December 2016
    Published: 9 January 2017
    DOI: 10.11648/j.ijtam.20160202.27
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    Abstract: In this paper, two multiple linear regression models for the determination of photovoltaic (PV) cell temperature and for selection of appropriate thermal loss factor values in PVSyst is presented. One of the linear models can determine the cell temperature with solar irradiation and ambient temperature alone while the second model requires the sola... Show More
  • Duration-Based Call Management Scheme

    Ezenugu Isaac A., Eke James, Onoh G. N.

    Issue: Volume 2, Issue 2, December 2016
    Pages: 144-149
    Received: 25 October 2016
    Accepted: 27 December 2016
    Published: 20 January 2017
    DOI: 10.11648/j.ijtam.20160202.28
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    Abstract: Considering some of the major challenges suffered by majority of the wireless communication network users and also the challenges being faced by the network providers in order to provide satisfactory quality of services that will meet the demand of their subscribers, there is a need for an implementation of a better call management scheme. This pro... Show More
  • Exponential Entropy Approach for Image Edge Detection

    Hassan Badry Mohamed El-Owny

    Issue: Volume 2, Issue 2, December 2016
    Pages: 150-155
    Received: 31 October 2016
    Accepted: 3 December 2016
    Published: 20 January 2017
    DOI: 10.11648/j.ijtam.20160202.29
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    Abstract: Edge detection is an important pre-processing step in image analysis. Best results of image analysis extremely depend on edge detection. Up to now many edge detection methods have been developed such as Prewitt, Sobel, LoG, Canny, etc. But, they are sensitive to noise. In this paper we propose a novel edge detection algorithm for images corrupted w... Show More
  • Modelling Typhoid Fever with Education, Vaccination and Treatment

    Stephen Edward, Nkuba Nyerere

    Issue: Volume 2, Issue 2, December 2016
    Pages: 156-164
    Received: 9 December 2016
    Accepted: 27 December 2016
    Published: 21 January 2017
    DOI: 10.11648/j.ijtam.20160202.30
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    Abstract: Typhoid is among the most endemic diseases, and thus, of major public health concerns in tropical developing countries. In this study, we develop a deterministic compartmental mathematical model for assessing the effects of education campaigns, vaccination and treatment on controlling the transmission dynamics of typhoid fever in the community. We ... Show More
  • Using Lagrange Interpolation for Solving Nonlinear Algebraic Equations

    Nasr Al Din Ide

    Issue: Volume 2, Issue 2, December 2016
    Pages: 165-169
    Received: 14 November 2016
    Accepted: 12 December 2016
    Published: 22 January 2017
    DOI: 10.11648/j.ijtam.20160202.31
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    Abstract: Finding the roots of nonlinear algebraic equations is an important problem in science and engineering, later many methods developed for solving nonlinear equations. These methods are given [1-28], in this paper, a new Algorithm for solving nonlinear algebraic equations is obtained by using Lagrange Interpolation method by fitting a polynomial form ... Show More
  • Modeling and Simulation of Non-Linear and Hysteresis Behavior of Magneto-Rheological Dampers in the Example of Quarter-Car Model

    Sulaymon L. Eshkabilov

    Issue: Volume 2, Issue 2, December 2016
    Pages: 170-189
    Received: 13 November 2016
    Accepted: 2 December 2016
    Published: 23 January 2017
    DOI: 10.11648/j.ijtam.20160202.32
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    Abstract: This paper presents reviews of mathematical formulations and numerical simulation models of non-linear and dynamic hysteresis behaviors of magneto-rheological liquid dampers, viz. Bingham, Dahl, LuGre and Bouc-Wen models, developed in MATLAB®/Simulink® in the example of quarter-car model with the Golden Car parameters. It demonstrates numerical sim... Show More