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145 articles for “integral”
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Research ArticleOpen accessEvery word in the titleA Self-Tuning Proportional-Integral-Derivative Controller for an Autonomous Underwater Vehicle, Based On Taguchi MethodM. Santhakumar, T. AsokanProblem statement: Conventional Proportional-Integral-Derivative (PID) controllers exhibit moderately good performance once the PID gains are properly tuned. However, when the dynamic characteristics of the system are time dependent or the operating conditions of the system vary, it is necessary to retune the gains to obtain desired performance. This situation has renewed the interest of researchers and practitioners in PID control. … …Journal of Computer Science, Vol. 6, Issue 8 · 31 Aug 2010 · 7,859 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFractional Calculus for Certain Integral Operator Involving Logarithmic CoefficientsAabed Mohammed, Maslina Darus, Daniel BreazProblem statement: Some properties of certain integral operators on some subclasses were studied. Approach: Certain classes defined by integral operators were introduced. The well known definitions and preliminaries results were stated. Results: Having new integral operator, the characterization problems were discussed. Thus sufficient conditions were given. Conclusion: Therefore, by having new integral operators, sufficient conditions were determined. In fact, other … …Journal of Mathematics and Statistics, Vol. 5, Issue 2 · 30 Sep 2009 · 7,185 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleHarmonics Phase Shifter for a Three-Phase System with Voltage Control by Integral-Cycle Triggering Mode of ThyristorsI. Badran, A.L. Mahmood, M.T. LazimIn integral-cycle triggering mode of voltage control, subharmonic as well as higher order harmonic components are generated in the load voltage waveforms of a three-phase system. These harmonic components are found to be unbalanced in phase displacement. The correction of the unbalanced phase displacement angles of a particular subharmonic or higher order harmonic for this type of triggering is investigated … …American Journal of Applied Sciences, Vol. 5, Issue 11 · 30 Nov 2008 · 7,112 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNew Approach to Compute Integral TransformsA. Adawi, F. AwawdehIntegral transforms find special applicability within scientific and mathematical disciplines. A powerful and efficient homotopy methodology in evaluating integrals arises in integral transforms was presented. The method depends on solving a related first order linear differential equation by homotopy analysis method HAM. The Laplace transform, Fourier transform and the moment generating function of the standard normal distribution were used as … …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 6,718 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEstimation of C*-Integral in Thin T-Sections Subjected to Projection and Remote Loading Base on Elastic Stress Concentration FactorA.R. Gowhari-Anaraki, F. Djavanroodi, S. ShadlouThe finite element method has been used to predict the creep rupture parameter, C*-Integral of flat T-section bar subjected to loaded projection and remote loading with a crack or crack-like flaw introduced in the fillet (i.e., high stress) region of the component. In this study, a new dimensionless creeping crack configuration factor, Q* has been introduced. Power low creeping finite … …American Journal of Applied Sciences, Vol. 5, Issue 5 · 31 May 2008 · 6,471 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleIntegral Dissipative Set-valued MapsM. O. Ogundiran, T. A. AdemolaIntegral dissipativity arises over a period of time. This dissipativity for multivalued maps has some intrinsic properties together with their convexification. The space of Aumann integrable maps endowed with Hausdorff topology having this dissipativity condition is a complete metric space. …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 6,922 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleGeneralized Cauchy's Models and Generalized IntegralsSabra RamadanThe space of generalized complex numbers C* has been constructed. The Cachy's model in the space of new generalized functions is well defined. The generalized integral of new generalized function over the compact K has been defined. …Journal of Mathematics and Statistics, Vol. 3, Issue 1 · 31 Mar 2007 · 6,661 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe 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 · 5,686 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Simple and Accurate Relation Between the Logarithm Integral Li(x) and the Primes Counting Function π(x) is Derived Making use of the O.E.I.S. Prime Numbers “Sequences”Paolo AscarelliToday the prime numbers π(x) contained under the number x appears to be somewhat overestimated by the logarithm integral function Li(x) and underestimated by the function x/ln(x), both originally proposed by Gauss around 1792-1796. However, a simple and accurate expression, relating Li(x) and π(x), may be derived using the data reported on the O.E.I.S. “Sequences”. This relation can also suggest … …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 30 Sep 2021 · 7,742 accessesView PDFCite