Search results for "Series"

showing 10 items of 1193 documents

PENERAPAN DERET FOURIER PADA SISTEM PENDENGARAN MANUSIA

2008

Natural vane voices comes to the humaneary on the Forier Series P(t), while the human earing system only accepts the wore of voices on the Fourier Series berhingga Q (t).  The different between Fories Series P(t) and Q(l) can be eliminase using. Approximation Quadrate Smallest Method.. Therefore q(t) is a result of natural vane approach

CombinatoricsSeries (mathematics)EaringFourier seriesMathematicsJurnal Natural
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A series of finite groups and related symmetric designs

2007

For any odd prime power q = pe we study a certain solvable group G of order q2 · ((q-1)/2)2 · 2 and construct from its internal structure a symmetric design D with parameters (2q2+1, q2, (q2-1)/2) on which G acts as an automorphism group. As a consequence we find that the full automorphism group of D contains a subgroup of order |G| · e2.

CombinatoricsSymmetric design; automorphism groupSeries (mathematics)Solvable groupSymmetric groupGeneral MathematicsStructure (category theory)Order (group theory)Alternating groupSymmetric designPrime powerMathematicsGlasnik matematički
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Complex singularities in KdV solutions

2016

In the small dispersion regime, the KdV solution exhibits rapid oscillations in its spatio-temporal dependence. We show that these oscillations are caused by the presence of complex singularities that approach the real axis. We give a numerical estimate of the asymptotic dynamics of the poles.

Complex singularities Padé approximation Borel and power series methods Dispersive shocksApplied MathematicsGeneral MathematicsNumerical analysis010102 general mathematicsMathematical analysis01 natural sciences010305 fluids & plasmasAsymptotic dynamics0103 physical sciencesPadé approximantGravitational singularity0101 mathematicsAlgebra over a fieldKorteweg–de Vries equationDispersion (water waves)Complex planeMathematics
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Parallel finite element splitting-up method for parabolic problems

1991

An efficient method for solving parabolic systems is presented. The proposed method is based on the splitting-up principle in which the problem is reduced to a series of independent 1D problems. This enables it to be used with parallel processors. We can solve multidimensional problems by applying only the 1D method and consequently avoid the difficulties in constructing a finite element space for multidimensional problems. The method is suitable for general domains as well as rectangular domains. Every 1D subproblem is solved by applying cubic B-splines. Several numerical examples are presented.

Computational MathematicsNumerical AnalysisFinite element spaceSeries (mathematics)Discontinuous Galerkin methodApplied MathematicsMathematical analysisMixed finite element methodAnalysisFinite element methodExtended finite element methodMathematicsNumerical Methods for Partial Differential Equations
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A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

2021

Abstract In this work, a matrix method based on Laguerre series to solve singularly perturbed second order delay parabolic convection-diffusion and reaction-diffusion type problems involving boundary and initial conditions is introduced. The approximate solution of the problem is obtained by truncated Laguerre series. Moreover convergence analysis is introduced and stability is explained. Besides, a test case is given and the error analysis is considered by the different norms in order to show the applicability of the method.

Computational TechniquePartial differential equationlaguerre polynomials and seriesComputer scienceElectronic computers. Computer sciencedelay partial differential equationApplied mathematicslaguerre matrix-collocation methodQA75.5-76.95singularly perturbed parabolic problemconvergence analysisFoundations of Computing and Decision Sciences
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Stochastic analysis of dynamical systems with delayed control forces

2006

Abstract Reduction of structural vibration in actively controlled dynamical system is usually performed by means of convenient control forces dependent of the dynamic response. In this paper the existent studies will be extended to dynamical systems subjected to non-normal delta-correlated random process with delayed control forces. Taylor series expansion of the control forces has been introduced and the statistics of the dynamical response have been obtained by means of the extended Ito differential rule. Numerical application provided shows the capabilities of the proposed method to analyze stochastic dynamic systems with delayed actions under delta-correlated process contrasting statist…

Computational methods in classical mechanicNumerical AnalysisDynamical systems theoryStochastic processApplied MathematicsStochastic analysis methodsProcess (computing)General linear dynamical systemDynamical systemLinear dynamical systemsymbols.namesakeControl theoryModeling and SimulationTaylor seriessymbolsNonlinear dynamics and nonlinear dynamical systemDifferential (infinitesimal)Reduction (mathematics)MathematicsCommunications in Nonlinear Science and Numerical Simulation
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Sequence Learning in a Single Trial: A Spiking Neurons Model Based on Hippocampal Circuitry.

2020

ABSTRACTIn contrast with our everyday experience using brain circuits, it can take a prohibitively long time to train a computational system to produce the correct sequence of outputs in the presence of a series of inputs. This suggests that something important is missing in the way in which models are trying to reproduce basic cognitive functions. In this work, we introduce a new neuronal network architecture that is able to learn, in a single trial, an arbitrary long sequence of any known objects. The key point of the model is the explicit use of mechanisms and circuitry observed in the hippocampus, which allow the model to reach a level of efficiency and accuracy that, to the best of our…

Computer Networks and CommunicationsComputer scienceModels NeurologicalHippocampusAction PotentialsBrain modeling; Computer architecture; Hippocampus; Learning systems; Microprocessors; Navigation; Neurons; Persistent firing (PF); robot navigation; spike-timing-dependent-plasticity synapse; spiking neurons.Hippocampal formationHippocampus03 medical and health sciences0302 clinical medicineArtificial IntelligenceBiological neural network030304 developmental biologyNeurons0303 health sciencesSequenceSeries (mathematics)business.industryBasic cognitive functionsContrast (statistics)CognitionComputer Science ApplicationsSequence learningArtificial intelligenceNeural Networks ComputerbusinessSoftware030217 neurology & neurosurgeryIEEE transactions on neural networks and learning systems
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Characterization of DC series arc faults in PV systems based on current low frequency spectral analysis

2021

Abstract This work presents an experimental study focused on the characterization of series arc faults in direct current (DC) photovoltaic (PV) systems. The aim of the study is to identify some relevant characteristics of arcing current, which can be obtained by means of low frequency spectral analysis of current signal. On field tests have been carried out on a real PV system, in accordance with some tests requirements of UL 1699B Standard for protection devices against PV DC arc faults. Arcing and non-arcing current signals are acquired and compared and the behavior of a set of indicators proposed by authors is analyzed. Different measurement equipment have been used, in order to study th…

Computer scienceApplied Mathematics020208 electrical & electronic engineering010401 analytical chemistryDirect currentPhotovoltaic systemArc fault detection Electrical safety Fault diagnosis PV systems Series arcs UL 1699B02 engineering and technologyCondensed Matter Physics01 natural sciencesSignal0104 chemical sciencesElectric arcArc (geometry)Data acquisition0202 electrical engineering electronic engineering information engineeringElectronic engineeringMetering modeElectrical and Electronic EngineeringCurrent (fluid)InstrumentationSettore ING-INF/07 - Misure Elettriche E Elettroniche
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Highlighting numerical insights of an efficient SPH method

2018

Abstract In this paper we focus on two sources of enhancement in accuracy and computational demanding in approximating a function and its derivatives by means of the Smoothed Particle Hydrodynamics method. The approximating power of the standard method is perceived to be poor and improvements can be gained making use of the Taylor series expansion of the kernel approximation of the function and its derivatives. The modified formulation is appealing providing more accurate results of the function and its derivatives simultaneously without changing the kernel function adopted in the computation. The request for greater accuracy needs kernel function derivatives with order up to the desidered …

Computer scienceApplied MathematicsGaussianComputation010103 numerical & computational mathematicsFunction (mathematics)01 natural sciences010101 applied mathematicsSmoothed-particle hydrodynamicsComputational Mathematicssymbols.namesakeSettore MAT/08 - Analisi NumericaKernel based methods Smoothed Particle Hydrodynamics Accuracy Convergence Improved fast Gaussian transform.Convergence (routing)symbolsTaylor seriesGaussian function0101 mathematicsFocus (optics)Algorithm
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Methodological considerations for interrupted time series analysis in radiation epidemiology: an overview

2021

Interrupted time series analysis (ITSA) is a method that can be applied to evaluate health outcomes in populations exposed to ionizing radiation following major radiological events. Using aggregated time series data, ITSA evaluates whether the time trend of a health indicator shows a change associated with the radiological event. That is, ITSA checks whether there is a statistically significant discrepancy between the projection of a pre-event trend and the data empirically observed after the event. Conducting ITSA requires one to consider specific methodological issues due to unique threats to internal validity that make ITSA prone to bias. We here discuss the strengths and limitations of …

Computer scienceConfoundingPublic Health Environmental and Occupational HealthInterrupted Time Series AnalysisStatistical modelGeneral MedicineHealth indicatorInterrupted Time Series AnalysisResearch DesignData qualityEconometricsInternal validityTime seriesSpurious relationshipWaste Management and DisposalForecastingJournal of Radiological Protection
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