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Journal Cover   International Journal of Advanced Mathematical Sciences
  [1 followers]  Follow
  This is an Open Access Journal Open Access journal
   ISSN (Print) 2307-454X - ISSN (Online) 2307-454X
   Published by Science Publishing Corporation Homepage  [12 journals]
  • More on set-magic graphs

    • Authors: Ullas Thomas
      Pages: 93 - 97
      Abstract: This paper contains certain properties of set-magic graphs and obtained the set-magic number of certain classes of graphs. All spanning super graphs of a set-magic graph always set-magic and all cycles and Hamiltonian graphs are set-magic. Also set-magic number of any cycle of size 2n is always greater than n.
      PubDate: 2015-07-19
      Issue No: Vol. 3, No. 2 (2015)
  • Logarithmic convexity of the eigenfunction of the Hessian operator in the

    • Authors: Yunhua Ye
      Pages: 98 - 102
      Abstract: This paper is concerned with the logarithmic convexity of the eigenfunction of the Hessian operator. It is proved that the logarithm of the eigenfunction of the Hessian operator is strictly convex in the ball.
      PubDate: 2015-07-25
      Issue No: Vol. 3, No. 2 (2015)
  • Some types of fuzzy open sets in fuzzy topological groups

    • Authors: Mohamad Thigeel Hmod, Munir A. Al-khafaji, Taghreed Hur Majeed
      Pages: 103 - 107
      Abstract: The aim of this work is to introduce the definitions and study the concepts of fuzzy open (resp, fuzzy α- open, fuzzy semi- open, fuzzy pre- open, fuzzy regular- open, fuzzy b- open, fuzzy β- open) sets in fuzzy topological groups, and devote to study and discuss some of the basic concepts of some types of fuzzy continuous, fuzzy connected and fuzzy compact spaces in fuzzy topological groups with some theorems and Proposition are proved.
      PubDate: 2015-08-17
      Issue No: Vol. 3, No. 2 (2015)
  • E-Bayesian analysis of the Gumbel type-ii distribution under type-ii
           censored scheme

    • Authors: Hesham Reyad, Soha Othman Ahmed
      Pages: 108 - 120
      Abstract: This paper seeks to focus on Bayesian and E-Bayesian estimation for the unknown shape parameter of the Gumbel type-II distribution based on type-II censored samples. These estimators are obtained under symmetric loss function [squared error loss (SELF))] and various asymmetric loss functions [LINEX loss function (LLF), Degroot loss function (DLF), Quadratic loss function (QLF) and minimum expected loss function (MELF)]. Comparisons between the E-Bayesian estimators with the associated Bayesian estimators are investigated through a simulation study.
      PubDate: 2015-09-05
      Issue No: Vol. 3, No. 2 (2015)
  • Fourıer coeffıcıents of a class of ETA quotıents of
           weıght 20 wıth level 12

    • Pages: 121 - 146
      Abstract: Williams and later Yao, Xia and Jin discovered explicit formulas for the coefficients of the Fourier series expansions of a class of eta quotients. Williams expressed all coefficients of 126 eta quotients in terms of σ(n),σ((n/2)),σ((n/3)) and σ((n/6)) and Yao, Xia and Jin, following the method of proof of Williams, expressed only even coefficients of 104 eta quotients in terms of σ₃(n),σ₃((n/2)),σ₃((n/3)) and σ₃((n/6)).Here, we will express the even Fourier coefficients of 570 eta quotients in terms of σ₁₉(n),σ₁₉((n/2)),σ₁₉((n/3)),σ₁₉((n/4)),σ₁₉((n/6)) and σ₁₉((n/(12))).
      PubDate: 2015-10-02
      Issue No: Vol. 3, No. 2 (2015)
  • On a class of Leibniz algebras

    • Pages: 147 - 155
      Abstract: We pointed out the class of Leibniz algebras such that the Killing form is non degenerate implies algebras are semisimple.
      PubDate: 2015-10-10
      Issue No: Vol. 3, No. 2 (2015)
  • Partial orders on \(C = D + Di\) and \(H = D + Di + Dj + Dk\)

    • Authors: Jingjing Ma
      Pages: 156 - 160
      Abstract: Let \(D\) be a totally ordered integral domain. We study partial orders on the rings \(C = D + Di\) and \(H = D + Di + Dj + Dk\), where \(i^{2} = j^{2} = k^{2} = -1\).
      PubDate: 2015-10-10
      Issue No: Vol. 3, No. 2 (2015)
  • Computational modeling of hypersingular integral equations for 2D
           pre-cantor scattering structure

    • Authors: Kateryna Nesvit, Yuriy Gandel
      Pages: 161 - 171
      Abstract: This paper presents the investigative study to derive a computational model based on hypersingular integral equations for the pre-Cantor plane-parallel diffraction structure. Such structure consists of finite numbers of the thin impedance strips located in the XY plane. A plane transverse magnetic wave is incident from infinity on considered diffraction structure at an angle and need to find the total field resulting from the scattering. The model which is considered in this work is an approximation of real fractal antennas in two-dimensional case. Pre-fractal properties of grating allow producing the newest antennas for modern mobile devices due to their compact size and broadband properties. The purpose of this work is to develop computer model their structure using parametric representation of hypersingular integral operator, Nystrom method with specific quadrature formulas. The numerical results have been obtained and investigated for pre-Cantor structures for calculating physics characteristics. These results have been compared and analyzed in different mathematical models and softwares.
      PubDate: 2015-11-01
      Issue No: Vol. 3, No. 2 (2015)
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