American Journal of Applied Mathematics

Volume 4, Issue 2, April 2016

  • Hydrodynamic Radiating Fluid Flow Past an Infinite Vertical Porous Plate in Presence of Chemical Reaction and Induced Magnetic Field

    Kibet Kiprop, Mathew Ngugi Kinyanjui, Jackson Kioko Kwanza

    Issue: Volume 4, Issue 2, April 2016
    Pages: 62-74
    Received: 26 January 2016
    Accepted: 24 February 2016
    Published: 6 March 2016
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    Abstract: An investigation of the unsteady magnetohydrodynamic fluid flow with heat and mass transfer of a viscous, incompressible, electrically conducting and Newtonian fluid past a vertical plate embedded in a porous medium taking into account induced magnetic field, first order chemical reaction and thermal radiation effect is carried out. The dimensionle... Show More
  • Hypographs of Upper Semi-continuous Maps and Continuous Maps on a Bounded Open Interval

    Nada Wu

    Issue: Volume 4, Issue 2, April 2016
    Pages: 75-79
    Received: 23 March 2016
    Published: 25 March 2016
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    Abstract: For any bounded open interval X in the Euclidean space E1, let ↓USC(X) and ↓C(X) be the families of all hypographs of upper semi-continuous maps and continuous maps from X to I=[0,1], respectively. They are endowed with the topology induced by the Hausdorff metric of the metric space Y×I,Y is the closure of X. It was proved in other two p... Show More
  • MHD Convection Flow of Two Immiscible Fluids in an Inclined Channel with Heat Generation / Absorption

    Hasan Nihal Zaidi, Naseem Ahmad

    Issue: Volume 4, Issue 2, April 2016
    Pages: 80-91
    Received: 21 February 2016
    Accepted: 5 March 2016
    Published: 28 March 2016
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    Abstract: Megnetohydrodynamic (MHD) convection flow of two immiscible fluids in an inclined channel in the presence of an applied magnetic field is investigated. Both fluids are assumed to be Newtonian and heat generating or absorbing and having constant transport properties. The channel walls are maintained at different temperature. The resulting coupled an... Show More
  • Wavelets in the Analysis of Autoregressive Conditional Heteroskedasticity (ARCH) Models Using Neural Network

    Ataulla, Mohammed Yunus, Mohammad S. Alsoufi

    Issue: Volume 4, Issue 2, April 2016
    Pages: 92-98
    Received: 29 February 2016
    Accepted: 15 March 2016
    Published: 30 March 2016
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    Abstract: In the paper, proposed a new method for the time frequency signal analysis, speech processing and other signal processing applications. Stationary signal components can be analyzed by a powerful tool called as Fourier transform. But it is fizzled for analysing the non-stationary signal whereas wavelet transform allows the components of a non-statio... Show More
  • Modularity Component Analysis versus Principal Component Analysis

    Hansi Jiang, Carl Meyer

    Issue: Volume 4, Issue 2, April 2016
    Pages: 99-104
    Received: 6 April 2016
    Published: 11 April 2016
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    Abstract: In this paper the exact linear relation between the leading eigenvectors of the modularity matrix and the singular vectors of an uncentered data matrix is developed. Based on this analysis the concept of a modularity component is defined, and its properties are developed. It is shown that modularity component analysis can be used to cluster data si... Show More
  • EVT and Its Application to Pricing of Catastrophe (Typhoon) Reinsurance

    Hu Yue, Zhang Li, Shen Li-jie, Gao Li-ya

    Issue: Volume 4, Issue 2, April 2016
    Pages: 105-109
    Received: 10 April 2016
    Published: 11 April 2016
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    Abstract: Extreme value theory is a branch of the theory of order statistics and it is a statistical study of extreme events disciplined approach. There is often extreme values in catastrophe losses, the use of traditional methods of statistical laws describe the amount of catastrophe losses would ignore the existence of extreme data. In this paper, we consi... Show More
  • Quantile-Quantile Plot Compared with Stablized Probability Plot in Figure on the Distribution of the Test Research

    Hu Yue, Yu Jin-yang

    Issue: Volume 4, Issue 2, April 2016
    Pages: 110-113
    Received: 18 April 2016
    Published: 19 April 2016
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    Abstract: Introduces the structure and function of PP (Stablized Probability Plot) and QQ (Quantile-Quantile Plot), and uses MATLAB to produce two sets of exponential distribution and normal distribution. The sample number is 20 and 45 respectively. The fitting of QQ plot and PP plot are respectively used to obtain the superiority of PP in the exponential di... Show More