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90 results for “linear equations”
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Research ArticleOpen accessIn the abstractEstimating the Parameters of the Negative-Lindley Distribution using Broyden-Fletcher-Goldfarb-ShannoNaushad Mamode KhanProblem statement: The Maximum Likelihood Estimation (MLE) technique is the most efficient statistical approach to estimate parameters in a cross-sectional model. Often, MLE gives rise to a set of non-linear systems of equations that need to be solved iteratively using the Newton-Raphson technique. However, in some situations such as in the Negative-Lindley distribution where it involves more than one unknown … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 29 Jan 2011 · 7,378 accessesView PDFCite
Research ArticleOpen accessIn the abstractRoughness Effect on an Unsteady Flow in Pipelines by Profilometry and Imaging TechniquesMabrouk Benkhedimallah, Rabah Zegadi, Mohamed BouafiaProblem statement: Currently the aero dynamical calculation in gas pipes is carried out under the assumption of steady state conditions. However real steady in a network is scarcely quasisteady. Approach: The unsteady state is governed by non-linear partial differential equations leading to mathematical difficulties. And there are fore gas pipe dimensions are computed at steady state under extreme conditions. Results: … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 29 Jan 2011 · 8,152 accessesView PDFCite
Research ArticleOpen accessIn the abstractMemoryless Modified Symmetric Rank-One Method for Large-Scale Unconstrained OptimizationFarzin Modarres, Malik Abu Hassan, Wah June LeongProblem statement: Memoryless QN methods have been regarded effective techniques for solving large-scale problems that can be considered as one step limited memory QN methods. In this study, we present a scaled memoryless modified Symmetric Rank-One (SR1) algorithm and investigate the numerical performance of the proposed algorithm for solving large-scale unconstrained optimization problems. Approach: The basic idea is to apply … …American Journal of Applied Sciences, Vol. 6, Issue 12 · 31 Dec 2009 · 7,981 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Impact of Air Exchange Effectiveness on Thermal Comfort in an Air-Conditioned OfficeRoonak Daghigh, Kamaruzzaman SopianProblem statement: Impact of air exchange effectiveness on thermal comfort has not been investigated and, therefore, not well understood .Therefore, the influence of air exchange effectiveness on thermal comfort is investigated in this study. Approach: The main objective of this research is to investigate the thermal comfort level of an air-conditioned office room under 14 windows-door opening arrangements as a … …American Journal of Applied Sciences, Vol. 6, Issue 11 · 30 Nov 2009 · 6,972 accessesView PDFCite
Research ArticleOpen accessIn the abstractAdsorption of Methylene Blue from Aqueous Solution onto a Low-Cost Natural Jordanian TripoliAtef S. ALzaydienProblem statement: It is well documented that lead is one of contaminants of industrial wastewaters and its pollution exists in the wastewater of many industries. As a result, recent research has focused on the development of cost effective alternatives using various natural sources and industrial wastes. In this setting, the use of low-cost agricultural materials, waste and residues for recovering … …American Journal of Applied Sciences, Vol. 6, Issue 6 · 30 Jun 2009 · 7,945 accessesView PDFCite
Research ArticleOpen accessIn the abstractArtificial Neural Networks Based Modeling and Control of Continuous Stirred Tank ReactorR. Suja Mani Malar, T. ThyagarajanContinuous Stirred Tank Reactor (CSTR) is one of the common reactors in chemical plant. Problem statement: Developing a model incorporating the nonlinear dynamics of the system warrants lot of computation. An efficient control of the product concentration can be achieved only through accurate model. Approach: In this study, attempts were made to alleviate the above mentioned problem using &#34Artificial Intelligence&#34 … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 1 · 31 Mar 2009 · 8,209 accessesView PDFCite
Research ArticleOpen accessIn the abstractCalibration and Simultaneous Monitoring of Soil Water Content and Salinity with Capacitance and Four-electrode ProbesTadaomi Saito, Haruyuki Fujimaki, Mitsuhiro InoueNon-destructive monitoring of soil water content (W) and the electrical conductivity of the soil solution (ECw) has been desired for environmental evaluation and sustainable agriculture. Dielectric probes and four-electrode probes are widely used for the non-destructive determination of W and the soil bulk electrical conductivity (ECb), respectively. Since the output of dielectric probes is affected by soil salinity, the calibration … …American Journal of Environmental Sciences, Vol. 4, Issue 6 · 31 Dec 2008 · 7,918 accessesView PDFCite
Research ArticleOpen accessIn the abstractClosed Form Solution to an Optimal Control Problem by Orthogonal Polynomial ExpansionMohammad Ali Tavallaei, Behrouz TousiIn this study the use of orthogonal polynomials for obtaining a close form solution to optimal control problems with a weighed quadratic cost function, is proposed. The method consists of using the Orthogonal Polynomials for the expansion of the state variables and the control signal. This expansion results in a set of linear equations, from which the closed form solution … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,326 accessesView PDFCite
Research ArticleOpen accessIn the abstractComputational Discrete Time Markov Chain with Correlated Transition ProbabilitiesPeerayuth CharnsethikulThis study presents a computational procedure for analyzing statistics of steady state probabilities in a discrete time Markov chain with correlations among their transition probabilities. The proposed model simply uses the first order Taylor’s series expansion and statistical expected value properties to obtain the resulting linear matrix equations system. Computationally, the bottleneck is O(n4) but can be improved by distributed … …Journal of Mathematics and Statistics, Vol. 2, Issue 4 · 31 Dec 2007 · 6,648 accessesView PDFCite
Research ArticleOpen accessIn the abstractInvestigations on the Grasping Contact Analysis of Biological Tissues With Applications in Minimally Invasive SurgeryAli Bonakdar, Javad Dargahi, Rama BhatAnalytical and finite element methods are employed to determine the contact pressure on the surface of a tissue being grasped by an endoscopic grasper, in Minimally Invasive Surgery (MIS). Normally, an endoscopic grasper is corrugated (teeth-like) in order to grasp slippery tissues. It is highly important to avoid damage to the tissues while grasping and manipulation during endoscopic surgery. Therefore, … …American Journal of Applied Sciences, Vol. 4, Issue 12 · 31 Dec 2007 · 6,905 accessesView PDFCite