Research ArticleOpen accessPhrase in the titleReduced Assumption in the Banach Contraction PrincipleSahar M. AliIn this study we introduce a novel class of normed spaces called weakly Cauchy normed spaces not necessarily complete in general and proved the existence of a fixed point of contraction mappings in these spaces, this is weaker assumption than the completeness assumption imposed on the given normed space on the other side the contraction condition valid only on a … …Journal of Mathematics and Statistics, Vol. 2, Issue 1 · 31 Mar 2006 · 6,825 accessesView PDFCite
Research ArticleOpen accessIn the abstractPiezoelectric Co-Rotational 3-Node Shell ElementGil Rama, Dragan Marinkovic, Manfred ZehnGeometrically nonlinear FE-analysis of active piezoelectric thin-walled shell structures, based on a Co-Rotational (CR) formulation and the Cell-Smoothed Discrete-Shear-Gap 3-node shell element (CS-DSG3) is presented in this study. The electric potential across the thickness of piezolayers is approximated by a linear function. The basic assumption of the applied Co-Rotational (CR) FEM formulation is that translations and rotations are finite, whereas … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 4 · 15 Oct 2016 · 7,810 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 · 6,665 accessesView PDFCite
Research ArticleOpen accessIn the abstractEfficient Broadcasting in Mobile Ad Hoc Networks Using Context Aware Adaptive Routing Protocol during Network PartitionsS. V.M.G. Bavithiraja, R. RadhakrishnanProblem statement: In mobile ado network, broadcasting is a common operation for route establishment and for sending control and emergency messages. Reliable Broadcasting in mobile ad hoc networks requires delivery of messages from different sources to all the nodes of the network within bounded time. The nodes are highly mobile and the network is highly dynamic and decentralized. Most of … …Journal of Computer Science, Vol. 8, Issue 5 · 28 Feb 2012 · 6,461 accessesView PDFCite
Research ArticleOpen accessIn the abstractSimple Improvement of Momentum Interpolation Equation for Navier-Stoke Equation Solver on Unstructured GridAdek TasriProblem statement: Pressure and velocity decoupling have been source of problem in solving Navier-Stokes and continuity equation particularly in complex collocated grid. The problem of pressure velocity decoupling is usually reduced by using momentum interpolation to calculate mass flux at face of control volume. Equation of momentum interpolation was derived by assumption that the face of cell is equidistant from … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,858 accessesView PDFCite
Research ArticleOpen accessIn the abstractCooperative Sensing in Cognitive Radio Networks-Avoid Non-Perfect Reporting ChannelRania A. Mokhtar, Sabira Khatun, B. M. Ali, A. RamliProblem statement: Cognitive radio is a candidate technology for more efficient spectrum utilization systems based on opportunistic spectrum sharing. However, a common assumption regarding cognitive radios is that they are unlicensed spectrum users that should defer to (avoid interfering with) existing primary sources. Therefore effective sensing of primary users was a major focus of current research. Cooperative spectrum sensing had … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 2 · 30 Jun 2009 · 7,734 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Priori Estimation of the Resolvent on Approximation of Born-OppenheimerSabria Bouheroum-Mentri, Amina BenbernouIn this study, we estimate the resolvent of the two bodies Shrodinger operator perturbed by a potential of Coulombian type on Hilbert space when h tends to zero. Using the Feschbach method, we first distorted it and then reduced it to a diagonal matrix. We considered a case where two energy levels cross in the classical forbidden region. Under the … …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 6,725 accessesView PDFCite
Research ArticleOpen accessIn the abstractEffects of Gas Velocity and Temperature on Nitric Oxide Conversion in Simulated Catalytic ConverterSathaporn ChuepengProblem statement: Gaseous emissions from gasoline engine such as carbon monoxide, unburned hydrocarbon and nitrogen oxides were usually reduced in three-way catalytic converter simultaneously around theoretical fuel and air combustion. Engine speed and load and other parameters were varied over a wide range of operating conditions, resulting in different exhaust gas composition and condition intake into catalytic converter. This work … …American Journal of Applied Sciences, Vol. 9, Issue 8 · 27 Jun 2012 · 7,304 accessesView PDFCite
Research ArticleOpen accessIn the abstractFixed Points of Non-expansive Operators on Weakly Cauchy Normed SpacesSahar Mohamed AliWe proved the existence of fixed points of non-expansive operators defined on weakly Cauchy spaces in which parallelogram law holds, the given normed space is not necessarily be uniformly convex Banach space or Hilbert space, we reduced the completeness and the uniform convexity assumptions which imposed on the given normed space. …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 6,545 accessesView PDFCite