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695 articles for “Equation”
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Research ArticleOpen accessEvery word in the titleOn The Diophantine Equation xa + ya = pkzbKeng Yarn Wong, Hailiza KamarulhailiIn this study, we consider the Diophantine equation xa + ya = pkzb where p is a prime number, gcd(a, b) = 1 and k,a,b∈Z+. We solve this equation parametrically by considering different cases of x and y and find that there exist infinitely many nontrivial integer solutions, where the formulated parametric solutions solve xa + ya = pkzb completely … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 11 Mar 2017 · 7,295 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Generalization of the Modified Liouville EquationJosé-Luis Rovira-Florián, Ana-Magnolia Marin-Ramirez, Ruben-Dario Ortiz-OrtizWe study the modified Liouville equation using various transformations to build dynamical systems and we use Dulac's criterion for give sufficient conditions of the non-existence of periodic orbits in the dynamical systems generated of the modified Liouville equation. …American Journal of Applied Sciences, Vol. 13, Issue 11 · 28 Nov 2016 · 7,023 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn 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 accessEvery word in the titleMachine Motion Equations at the Internal Combustion Heat EnginesFlorian Ion T. PetrescuThis paper presents an algorithm for setting the dynamic parameters of the classic main mechanism of the internal combustion engines. One presents the dynamic, original, machine motion equations. The equation of motion of the machine that generates angular speed of the shaft (which varies with position and rotation speed) is deduced by conservation kinetic energy of the machine. An additional … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 21 Apr 2015 · 9,397 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleCONSTRUCTION OF GENERAL SUBSUMPTIVE SOLUTIONS OF BOOLEAN EQUATIONS VIA COMPLETE-SUM DERIVATIONAli Muhammad Ali Rushdi, Hussain Mobarak AlbarakatiBoolean-equation solving permeates many diverse areas of modern science. To solve a system of Boolean equations, one usually combines them into an equivalent single Boolean equation {f(X) = 0} whose set of solutions is exactly the same as that of the original system of equations. One of the general classes of solutions for Boolean equations is the subsumptive general solution, … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 13 Mar 2014 · 7,112 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleON 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 accessEvery word in the titleThe Inverse Problem for Boolean EquationsAli Muhammad Ali Rushdi, Hussain Mobarak AlbarakatiThe Forward Problem (FB) of Boolean equations consists of finding solutions of a system of Boolean equations, or equivalently, a single Boolean equation of the form f(X) = 0 where f(X): Bn → B and B is an arbitrary Boolean algebra. By contrast, the Inverse Problem (IB) of Boolean equations aims to reconstruct the equation f (X) = 0 given … …Journal of Computer Science, Vol. 8, Issue 12 · 3 Jan 2013 · 8,357 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleRestructuring and Expanding Technology Acceptance Model Structural Equation Model and Bayesian ApproachMargaretha Ari Aggorowati, Nur Iriawan, Suhartono, Hasyim GautamaProblem statement: Technology Acceptance Model (TAM) is one of models that analyze user behavior to accept and use a new technology. SEM is the most statistical method which use in TAM analysis that provides the estimation strength of all hypothesized relationship between variables in a theoretical model. Consider to employing the standard SEM in TAM analysis which expected large data, … …American Journal of Applied Sciences, Vol. 9, Issue 4 · 10 Feb 2012 · 8,365 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleVariable Separation and Boubaker Polynomial Expansion Scheme for Solving the Neutron Transport EquationDada O.M., O.B. Awojoyogbe, M. Agida, K. BoubakerProblem statement: In this study, we present general analytical solutions to the Neutron Boltzmann Transport Equation NBTE using a polynomial expansion scheme. Approach: Some simple assumptions have been introduced in the main system thanks to the Boubaker Polynomial Expansion Scheme (BPES) in order to make the general analytical procedure simple and adaptable for solving similar real life problems. Results: Finding … …Physics International, Vol. 2, Issue 1 · 21 Jan 2012 · 7,597 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleDurian Husk Properties and its Heating Value EquationPatomsok WilaiponProblem statement: Agricultural residue seems to be one of the most promising energy resources for developing countries. Among the other fruits, durian is a popular one for Thai people. Therefore, a large amount of durian husk is left at the shops or factories. This study was aimed to investigate the characteristics and heating value of durian husk and to develop … …American Journal of Applied Sciences, Vol. 8, Issue 9 · 1 Aug 2011 · 7,865 accessesView PDFCite