Search results for "equation"

showing 10 items of 4219 documents

Screen media time usage of 12-16 year-old Spanish school adolescents: Effects of personal and socioeconomic factors, season and type of day.

2007

Abstract This study examined screen media time usage (SMTU) and its association with personal and socioeconomic factors, as well as the effect of season and type of day, in a Spanish sample of 12–16 year-old school adolescents (N = 323). The research design was a cross-sectional survey, in which an interviewer-administered recall questionnaire was used. Statistical analyses included repeated measures analyses of variance, analysis of covariance and structural equation models. Results showed an average of 2.52 h per day of total SMTU and partial times of 1.73 h per day in TV viewing, 0.27 h per day in computer/videogames, and 0.52 h per day in mobile use. Four significant predictors of SMTU …

Research designMaleTime FactorsSocial PsychologyAdolescentSample (statistics)Structural equation modelingDevelopmental psychologySurveys and QuestionnairesDevelopmental and Educational PsychologyHumansMass MediaChildStudentsSocioeconomic statusMass mediabusiness.industryComputersRepeated measures designSocial environmentCircadian RhythmPsychiatry and Mental healthCross-Sectional StudiesSocioeconomic FactorsVideo GamesMobile phoneSpainPediatrics Perinatology and Child HealthMental RecallFemaleSeasonsbusinessPsychologyDemographyJournal of adolescence
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Three-Dimensional Superconducting Nanohelices Grown by He+-Focused-Ion-Beam Direct Writing

2019

Novel schemes based on the design of complex three-dimensional (3D) nanoscale architectures are required for the development of the next generation of advanced electronic components. He+ focused-ion-beam (FIB) microscopy in combination with a precursor gas allows one to fabricate 3D nanostructures with an extreme resolution and a considerably higher aspect ratio than FIB-based methods, such as Ga+ FIB-induced deposition, or other additive manufacturing technologies. In this work, we report the fabrication of 3D tungsten carbide nanohelices with on-demand geometries via controlling key deposition parameters. Our results show the smallest and highest-densely packed nanohelix ever fabricated s…

Research programFocused-ion-beam-induced depositionLibrary scienceBioengineeringGinzburg−Landau equation02 engineering and technologyEuropean Social FundPhase slipsHelium ion microscopePolitical scienceSemiconductors and NanostructuresGeneral Materials ScienceCost action[PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]ComputingMilieux_MISCELLANEOUSGinzburg-Landau equationNanosuperconductorsMechanical EngineeringGinzburg landau equationFísicaQuímicaGeneral ChemistryDirect writing021001 nanoscience & nanotechnologyCondensed Matter PhysicsWork (electrical)Christian ministryHigh field0210 nano-technologyThree-dimensional nanoprinting
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Asymptotic behaviour of mixed-type circuits. Delay time predicting

1991

In the preceding chapter we have shown that the delay time problem in integrated circuits leads us to consider mixed-type circuits with distributed elements described by Telegraph Equations and lumped resistive and capacitive elements (Figure 4.5). Moreover, the well-posedness of the mathematical model (P(B, V0)) = (E) + (BC) + (IC) has been studied, various conditions for the existence, uniqueness and L2stability of different kind of solutions being formulated.

Resistive touchscreenExponential stabilitylawCapacitive sensingUniquenessIntegrated circuitTelegrapher's equationsTopologylaw.inventionDelay timeElectronic circuitMathematics
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Advances in the general factor of personality dynamics

2018

This paper presents a dynamical integro-differential equation to reproduce the dynamical response of the General Factor of Personality (GFP) to a stimulus dose, particularly to a stimulant drug dose. The model is called in the past authors publications as response model. We refer to it as the old response model, due to a new response model presented here that solves partially the problem of the model validation: how to forecast the GFP dynamical response from a previous model calibration. The application case presented is an individual ABC experimental design where the stimulus used is methylphenidate.      

Response modelComputer scienceIntegro-differential equationGeneral MedicineStimulus (physiology)General Factor of PersonalityHierarchical structure of the Big FiveModel validationDynamicsUNESCO::FILOSOFÍA:FILOSOFÍA [UNESCO]DinàmicaCalibrationValidationMethylphenidateStimulant drugPersonalitatMATEMATICA APLICADANeuroscience
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A genetic algorithm to calibrate dynamical systems: Confidence intervals for parameters and residuals

2018

This paper presents a genetic algorithm to calibrate dynamical systems that is able to calculate confidence intervals for the parameters of the system. As an application case is used to calibrate the system that reproduces the dynamical response of the General Factor of Personality (GFP) to a given stimulus, particularly to a stimulant drug dose. The model is called in Literature as the response model and includes an integro-differential equation. The presented application case is a single case ABC experimental design where the stimulus is methylphenidate.

Response modelDynamical systems theoryIntegro-differential equationGeneral MedicineStimulus (physiology)General Factor of PersonalityConfidence intervalDynamicsUNESCO::FILOSOFÍAGenetic algorithm:FILOSOFÍA [UNESCO]CalibrationMethylphenidateStimulant drugMATEMATICA APLICADAAlgorithmMathematics
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Bonding family social capital and firm performance

2011

This study aims to empirically investigate the effect of bonding family social capital on financial firm performance. The data collection mechanism was a survey sent to all Finnish large and medium-sized FBs (staff >50) in the spring of 2008. In total, 167 questionnaires were collected indicating a response rate of 22.3%. The results are based on structural equation modelling. The results suggest that bonding family social capital has both a direct and indirect positive influence on family firm financial performance.

Response rate (survey)Economics and EconometricsLabour economicsEntrepreneurshipData collectionFinancial performanceFamily businessBusinessBusiness and International ManagementStructural equation modelingSocial capitalInternational Journal of Entrepreneurship and Small Business
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Well-Balanced Adaptive Mesh Refinement for shallow water flows

2014

Well-balanced shock capturing (WBSC) schemes constitute nowadays the state of the art in the numerical simulation of shallow water flows. They allow to accurately represent discontinuous behavior, known to occur due to the non-linear hyperbolic nature of the shallow water system, and, at the same time, numerically maintain stationary solutions. In situations of practical interest, these schemes often need to be combined with some kind of adaptivity, in order to speed up computing times. In this paper we discuss what ingredients need to be modified in a block-structured AMR technique in order to ensure that, when combined with a WBSC scheme, the so-called 'water at rest' stationary solutions…

Rest (physics)Numerical AnalysisMathematical optimizationSpeedupPhysics and Astronomy (miscellaneous)Shock (fluid dynamics)Computer simulationAdaptive mesh refinementApplied MathematicsComputer Science ApplicationsComputational MathematicsWaves and shallow waterModeling and SimulationApplied mathematicsState (computer science)Shallow water equationsMathematicsJournal of Computational Physics
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Riccati equation-based generalization of Dawson's integral function

2007

A new generalization of Dawson's integral function based on the link between a Riccati nonlinear differential equation and a second-order ordinary differential equation is reported. The MacLaurin expansion of this generalized function is built up and to this end an explicit formula for a generic cofactor of a triangular matrix is deduced.

Riccati equation Dawson’s integral functionGeneralized functionDifferential equationGeneralizationGeneral MathematicsGeneral EngineeringTriangular matrixFunction (mathematics)Error functionOrdinary differential equationRiccati equationApplied mathematicsMathematical PhysicsMathematics
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Representation of solutions and large-time behavior for fully nonlocal diffusion equations

2017

Abstract We study the Cauchy problem for a nonlocal heat equation, which is of fractional order both in space and time. We prove four main theorems: (i) a representation formula for classical solutions, (ii) a quantitative decay rate at which the solution tends to the fundamental solution, (iii) optimal L 2 -decay of mild solutions in all dimensions, (iv) L 2 -decay of weak solutions via energy methods. The first result relies on a delicate analysis of the definition of classical solutions. After proving the representation formula we carefully analyze the integral representation to obtain the quantitative decay rates of (ii). Next we use Fourier analysis techniques to obtain the optimal dec…

Riemann-Liouville derivativeRiemann–Liouville derivativenonlocal diffusion01 natural sciencesdecay of solutionssymbols.namesakeMathematics - Analysis of PDEsFundamental solutionFOS: MathematicsInitial value problemApplied mathematics0101 mathematicsMathematicsfundamental solutionSpacetimeApplied Mathematics010102 general mathematicsta111energy inequalityRandom walk010101 applied mathematicsPrimary 35R11 Secondary 45K05 35C15 47G20Fourier analysisNorm (mathematics)Bounded functionsymbolsHeat equationfractional LaplacianAnalysisAnalysis of PDEs (math.AP)
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Optimization of depth increment distribution in the ring-core method

1996

The integral equation method is the most suitable calculation procedure for the determination of non-uniform residual stresses by semi-destructive mechanical methods such as hole and ring-core drilling. However, the high sensitivity to strain measurement errors due to the ill-conditioning of the equation sets has prevented its practical use. Examination of the influence of the strain measurement error on the calculated stresses and its propagation has shown that, for given maximum groove depth and total steps number, the error sensitivity depends on the particular depth increment distribution used. By means of an alternative matrix formulation of the equation sets the depth increment distr…

Ring (mathematics)Applied MathematicsMechanical EngineeringNumerical analysisDrillingGeometryIntegral equationCore (optical fiber)Distribution (mathematics)Mechanics of MaterialsResidual stressModeling and SimulationDestructive testingMathematicsThe Journal of Strain Analysis for Engineering Design
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