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90 articles for “linear equations”

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Research ArticleOpen accessIn the abstractReservoir Oscillations with Through FlowA.A. KhanThe two-reservoir problem with through flow is a common feature in wastewater treatment plants. The start of the through flow may cause water surface oscillations in the reservoirs and velocity variations in the connecting pipe during the initial unsteady phase that may adversely affect the operation and under certain conditions may cause overtopping of the upstream reservoir. The classical solution … …American Journal of Environmental Sciences, Vol. 3, Issue 1 · 31 Mar 2007 · 7,030 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Stability of the Triangular Lagrangian Equilibrium Points in the Relativistic Restricted Three-Body ProblemM. K. Ahmed, F.A. Abd El-Salam, S.E. Abd El-BarThe restricted three body problem is treated in the framework of the post-Newtonian approximation of general relativity. The equations of motion are linear zed around the libration points L4,5. Locations of the equilibrium points L4,5 are obtained. Existence and stability of these points are investigated. The relativistic correction to the classical mass ratio is determined. …American Journal of Applied Sciences, Vol. 3, Issue 9 · 30 Sep 2006 · 7,303 accessesView PDFCite
Research ArticleOpen accessIn the abstractFabric Behavior of Sand in Post-liquefactionSeyed Amirodin SadrnejadAn anisotropic plasticity model for post-liquefaction of the undrained behavior of sand is presented. The model incorporates the critical/steady state concept that postulates the existence of a state where sand continuously deforms at a certain constant effective stress depending two main parameters of both initial bulk parameters (void ratio or relative density) and the stress level (mean stress). The local … …American Journal of Applied Sciences, Vol. 2, Issue 12 · 31 Dec 2005 · 6,409 accessesView PDFCite
Research ArticleOpen accessIn the abstractFlow of Dividends under a Constant Force of InterestJuma Kasozi, Jostein PaulsenThis study addresses the issue of maximization of dividends of an insurer whose portfolio is exposed to insurance risk. The insurance risk arises from the classical surplus process commonly known as the Cramér-Lundberg model in the insurance literature. To enhance his financial base, the insurer invests in a risk free asset whose price dynamics are governed by a constant force … …American Journal of Applied Sciences, Vol. 2, Issue 10 · 31 Oct 2005 · 7,386 accessesView PDFCite
Research ArticleOpen accessIn the abstractEstimation of Vibrations in Switched Reluctance Motor DrivesS. Balamurugan, R. ArumugamThis study discusses a simple algorithm for estimation and reduction of Vibrations in a Switched Reluctance Motor (SRM) using magnetic circuit simulation in MATLAB/SIMULINK Environment. A Non-linear model is developed using magnetic circuit equations, wherein non-linearity is added using a inductance profile with back EMF. Dynamic characteristic of the SRM is simulated and the same is being verified experimentally. In … …American Journal of Applied Sciences, Vol. 2, Issue 4 · 30 Apr 2005 · 6,826 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordThe Solution to Some Hypersingular Integral EquationsAlexander G. RammGel’fand, I. M., & Shilov, G. E. (1964). Generalized Functions. Volume I: Properties and Operations (1st ed., Vol. 1). Academic Press. Hörmander, L. (1998). The Analysis of Linear Partial Differential Operators I (1st ed.). Springer Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96750-4 Ramm, A. G. (2022). The Navier-Stokes Problem (2nd ed.). Springer Nature. Ramm, A. G. (2023). Analysis of the Navier-Stokes problem (2nd ed.). … …Journal of Mathematics and Statistics, Vol. 20, Issue 1 · 25 May 2024 · 5,683 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordUsing Linear Chouquet Integral Algorithm to Design Optimal Time-Cost Model in Large Construction ProjectsHamid Jafari Nia, Kaveh Ostad-Ali-Askari, Hamidreza BabaaliNowadays, the problem of scheduling and executing projects with the least cost and time has become one of the main concerns of project managers. In this regard, researchers have used different methods and patterns. One of these methods is to use concurrent engineering in projects. Simultaneous engineering means the creation of a project schedule for projects based on existing units … …American Journal of Engineering and Applied Sciences, Vol. 13, Issue 4 · 18 Nov 2020 · 6,686 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordLeast Square Approximation by Linear Combination of Exponential FunctionsBahman Mehri, Dariush Shadman, Sadegh JokarHere we were concerned with least square approximation by exponential functions for given data. In this manuscript, we approximate the given data such that this approximant satisfies a differential equation. The case of nonlinear differential equations was also considered. …Journal of Mathematics and Statistics, Vol. 2, Issue 2 · 30 Jun 2006 · 6,875 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordA Review of Recent Results on 3D EffectsRelly Victoria V. Petrescu, Florian Ion T. PetrescuThree dimensions or three-dimensional or 3D are expressions that characterize the space around us, as perceived by our vision, in terms of width, height and depth. The term "3D" is also (and improperly) used to refer to the representation in synthetic (digital) images, the relief of stereoscopic images or other images in relief and sometimes even the simple stereophonic effect, … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 4 · 28 Dec 2016 · 8,337 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordOptimal Location of Static Var Compensator Device for Damping OscillationsM. W. Mustafa, N. MagajiProblem statement: Static Var Compensators (SVC) devices are used to improve voltage and reactive power conditions in AC systems. An additional task of SVC is to increase transmission capacity as result of power oscillation damping. The effectiveness of this controller depends on its optimal location and proper signal selection in the power system network. A residue factor had been proposed … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 2 · 30 Jun 2009 · 8,371 accessesView PDFCite