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99 articles for “C*-Algebra”
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Research ArticleOpen accessIn the abstractA Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed ConditionsMiloud Moussai, Lakhdar ChiterIn this study, a computational method for solving linear FredholmIntegro-Differential Equation (FIDE) of the first order under the mixed conditions using the Bernstein polynomials. First, we present some properties of these polynomials and the method is explained. These properties are then used to convert the integro-differential equation to a system of linear algebraic equations with unknown Bernstein coefficients. Using Galerkin … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 27 Feb 2017 · 7,147 accessesView PDFCite
Research ArticleOpen accessIn the abstractExplicit Direct Integrators of RK Type for Solving Special Fifth-Order Ordinary Differential EquationsMohammed S. Mechee, Murtaza A. KadhimThe main contribution of this paper is the development of direct explicit methods of Runge-Kutta (RK) type for solving special fifth-Order Ordinary Differential Equations (ODEs). For this purpose, we have generalized RKD and RKT methods of special third and fourth-order ODEs. Using Taylor expansion, we have derived the algebraic equations of algebraic equations of order conditions for the proposed RKM … …American Journal of Applied Sciences, Vol. 13, Issue 12 · 26 Dec 2016 · 7,942 accessesView PDFCite
Research ArticleOpen accessIn the abstractFree Vibration Analysis of Rectangular Cantilever Plates Using the Hyperbolic-Trigonometric SeriesMikhail V. Sukhoterin, Sergey O. Baryshnikov, Dmitry A. AksenovThe purpose of this paper is to develop a numerical analytical method for an accurate solution to the problem on frequencies and mode shapes of a rectangular cantilever plate. The problem is reduced to an infinite system of linear algebraic equations relative to ratios of trigonometric series, which contains vibration frequency as a parameter. The core of the method is … …American Journal of Applied Sciences, Vol. 13, Issue 12 · 23 Dec 2016 · 7,288 accessesView PDFCite
Research ArticleOpen accessIn the abstractCoordinated Transformation for Fuzzy Autocatalytic Set of Fuzzy Graph Type-3Tahir Ahmad, Sumarni Abu Bakar, Sabariah Baharun, Faisal A.M. BinjadhnanFuzzy Autocatalytic Set (FACS) of fuzzy graph Type-3 was established in the effort to describe the underlying phenomena of a clinical waste incineration process. Further research could be explored to scrutinize this concept especially in looking at its mathematical structure. In this paper, we highlighted the mathematical structures of FACS particularly on the algebraic structures of its matrix and graph. … …Journal of Mathematics and Statistics, Vol. 11, Issue 4 · 31 Jan 2016 · 7,150 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the General Solution of First-Kind Hypersingular Integral EquationsSuzan J. Obaiys, Z. Abbas, N. M.A. Nik Long et al.A new algorithm is presented to provide a general solution for a first type Hyper singular Integral Equation (HSIE). The singular integral has been converted into a regular form by cancelling the singularity and then transforming it into a system of algebraic equation based orthogonal poly- nomials. We applied the convergence method presented by (Obaiys, 2013) to conform the numerical … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 2 · 28 Jan 2016 · 8,703 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHE INFLUENCE OF THE INTEGRATED MODEL OF SOCIAL STRATIFICATION STRUCTURE ON THE PUBLIC PARTICIPATING NON-PROFIT ORGANIZATIONSYu-Tien Huang, Ming-Shen WangThe main body of social stratification structure in Taiwan is transformed with social mobility. By transforming the social stratification structure, the function of non-profit organizations is operating steadily. How does people’s awareness of social strata directly or indirectly influence the operation of non-profit organizations? How do non-profit organizations and governments respond to the transformation of social stratum compositions? And how … …Journal of Social Sciences, Vol. 9, Issue 4 · 23 Jan 2014 · 7,283 accessesView PDFCite
Research ArticleOpen accessIn the abstractNilpotence and the Generalized Uncertainty Principle (S)Nikos KalogeropoulosWe point out that some of the proposed generalized/modified uncertainty principles originate from solvable, or nilpotent at appropriate limits, &#34deformations&#34 of Lie algebras. We briefly comment on formal aspects related to the well-posedness of one of these algebras. We point out a potential relation of such algebras with Classical Mechanics in the spirit of the symplectic non-squeezing theorem. We also … …Space Science International, Vol. 1, Issue 2 · 23 Jan 2014 · 7,311 accessesView PDFCite
Research ArticleOpen accessIn the abstractON REDUCED SCALAR EQUATIONS FOR SYNCHRONOUS BOOLEAN NETWORKSAli Muhammad Ali Rushdi, Adnan Ahmad AlsogatiA total description of a synchronous Boolean network is typically achieved by a matrix recurrence relation. A simpler alternative is to use a scalar equation which is a possibly nonlinear equation that involves two or more instances of a single scalar variable and some Boolean operator(s). Further simplification is possible in terms of a linear reduced scalar equation which is … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 10 Sep 2013 · 6,667 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical Model of Heat Transfer for Tuyere Under Non-Transparent Medium EnvironmentShen Yuan-Sheng, Li Hou-Guo, Guo Zhong-Quan, Yang HaoTo develop the mathematical model of the heat transfer relations between the tuyere and other high temperature radiation objects in BF under the non-transparent medium condition, based on the qualitative analyses of burning-mixture flow regularity, chemical reactions, heat radiations and thermotechnical characteristics of convection heat transfer occurring on the outside surface of tuyere, referring to the geometrical features of air-cooled … …American Journal of Engineering and Applied Sciences, Vol. 6, Issue 2 · 23 Apr 2013 · 7,191 accessesView PDFCite
Research ArticleOpen accessIn the abstractMatching LSI for Scalable Information RetrievalRajagopal Palsonkennedy, T. V. GopalLatent Semantic Indexing (LSI) is one of the well-liked techniques in the information retrieval fields. Different from the traditional information retrieval techniques, LSI is not based on the keyword matching simply. It uses statistics and algebraic computations. Based on Singular Value Decomposition (SVD), the higher dimensional matrix is converted to a lower dimensional approximate matrix, of which the noises could … …Journal of Computer Science, Vol. 8, Issue 12 · 2 Jan 2013 · 6,671 accessesView PDFCite