Search results for "numerical"

showing 10 items of 2002 documents

Initial strain effects in multilayer composite laminates

2001

A boundary integral formulation for the analysis of stress fields induced in composite laminates by initial strains, such as may be due to temperature changes and moisture absorption is presented. The study is formulated on the basis of the theory of generalized orthotropic thermo-elasticity and the governing integral equations are directly deduced through the generalized reciprocity theorem. A suitable expression of the problem fundamental solutions is given for use in computations. The resulting linear system of algebraic equations is obtained by the boundary element method and stress interlaminar distributions in the boundary-layer are calculated by using a boundary only discretization. …

DiscretizationApplied MathematicsNumerical analysisMathematical analysisGeneral EngineeringBoundary (topology)Composite laminatesOrthotropic materialIntegral equationComputational MathematicsAlgebraic equationBoundary element methodAnalysisMathematicsEngineering Analysis with Boundary Elements
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Numerical analysis of masonry structures via interface models

2001

The present paper is devoted to the theoretical formulation and numerical implementation of an interface model suitable to simulate the behavior of mortar joints in masonry structures. The interface laws are formulated in the framework of elasto-plasticity for non-standard materials in order to simulate the softening response which occurs along the decohesion process in presence of shear and tension tractions. A variable material dilatancy parameter is introduced together with a further geometrical dilatancy related to the roughness of contact surfaces after joint fracture. An asperity model is adopted with the aim to describe the evolution of the contact surface shape during the loss of co…

DilatantEngineeringbusiness.industryMechanical EngineeringNumerical analysisComputational MechanicsGeneral Physics and AstronomyStructural engineeringSurface finishMasonryComputer Science ApplicationsContact surfacesShear (geology)Mechanics of MaterialsMortarbusinessSofteningComputer Methods in Applied Mechanics and Engineering
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A Property on Singularities of NURBS Curves

2002

We prove that if a.n open Non Uniform Rational B-Spline curve of order k has a singular point, then it belongs to both curves of order k - 1 defined in the k - 2 step of the de Boor algorithm. Moreover, both curves are tangent at the singular point.

Pure mathematicsSingularityFamily of curvesCurve fittingTangentGeometryGravitational singularitySingular point of a curveNon-uniform rational B-splineDe Boor's algorithmMathematics::Numerical AnalysisMathematics
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Simulations of Array Configurations for the Square Kilometre Array (SKA)

2010

The Square Kilometre Array (SKA) is a new generation radio telescope for the next decades, working at metre to centimetre wavelengths. The SKA will be operational at the same time than other new optical, X-ray and Gamma-ray telescopes. It is of extreme importance that the SKA becomes competitive and complementary to those instruments. An extensive study of technologies and possible configurations involved is needed to ensure the SKA will reach the design specifications. To compare imaging capabilities between different SKA configurations or between the SKA and other instruments, we have implemented figures of merit based on several characteristics of these instruments. In this work we are p…

PhysicsRadio telescopeInterferometryOpticsSquare kilometre arraybusiness.industryDynamic rangeFigure of meritMetreNumerical testsbusinessRemote sensing
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Two-view “cylindrical decomposition” of binary images

2001

This paper describes the discrete cylindrical algebraic decomposition (DCAD) construction along two orthogonal views of binary images. The combination of two information is used to avoid ambiguities for image recognition purposes. This algorithm associates an object connectivity graph to each connected component, allowing a complete description of the structuring information. Moreover, an easy and compact representation of the scene is achieved by using strings in a five letter alphabet. Examples on complex digital images are also provided. © 2001 Elsevier Science Inc.

Connected componentNumerical AnalysisAlgebra and Number TheoryTheoretical computer scienceSettore INF/01 - InformaticaBinary imageObject (computer science)StructuringCylindrical algebraic decompositionString representationDigital imageImage decompositionComputer Science::Computer Vision and Pattern RecognitionDecomposition (computer science)Discrete Mathematics and CombinatoricsGeometry and TopologyRepresentation (mathematics)AlgorithmShape descriptionMathematicsLinear Algebra and its Applications
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Towards modelling the central engine of short GRBs

2011

Numerical relativity simulations of non-vacuum spacetimes have reached a status where a complete description of the inspiral, merger and post-merger stages of the late evolution of close binary neutron systems is possible. Determining the properties of the black-hole-torus system produced in such an event is a key aspect to understand the central engine of short-hard gamma-ray bursts (sGRBs). Of the many properties characterizing the torus, the total rest-mass is the most important one, since it is the torus' binding energy which can be tapped to extract the large amount of energy necessary to power the sGRB emission. In addition, the rest-mass density and angular momentum distribution in t…

PhysicsHistoryAngular momentumAstrophysics::High Energy Astrophysical PhenomenaX-ray binaryAstronomyTorusAstrophysicsComputer Science ApplicationsEducationBlack holeStarsNeutron starNumerical relativityTheory of relativitymagnetohydrodynamics binary neutron stars gravitational waves
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A class of nilpotent Lie algebras admitting a compact subgroup of automorphisms

2017

Abstract The realification of the ( 2 n + 1 ) -dimensional complex Heisenberg Lie algebra is a ( 4 n + 2 ) -dimensional real nilpotent Lie algebra with a 2-dimensional commutator ideal coinciding with the centre, and admitting the compact algebra sp ( n ) of derivations. We investigate, in general, whether a real nilpotent Lie algebra with 2-dimensional commutator ideal coinciding with the centre admits a compact Lie algebra of derivations. This also gives us the occasion to revisit a series of classic results, with the expressed aim of attracting the interest of a broader audience.

Discrete mathematicsPure mathematicsOscillator algebra010102 general mathematicsUniversal enveloping algebra010103 numerical & computational mathematics01 natural sciencesAffine Lie algebraLie conformal algebraGraded Lie algebraNilpotent Lie algebraComputational Theory and MathematicsLie algebraCompact Lie algebraSettore MAT/03 - GeometriaGeometry and Topology0101 mathematicsCompact derivationGeneralized Kac–Moody algebraAnalysisMathematicsDifferential Geometry and its Applications
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Measuring frequency domain granger causality for multiple blocks of interacting time series

2011

In the past years, several frequency-domain causality measures based on vector autoregressive time series modeling have been suggested to assess directional connectivity in neural systems. The most followed approaches are based on representing the considered set of multiple time series as a realization of two or three vector-valued processes, yielding the so-called Geweke linear feedback measures, or as a realization of multiple scalar-valued processes, yielding popular measures like the directed coherence (DC) and the partial DC (PDC). In the present study, these two approaches are unified and generalized by proposing novel frequency-domain causality measures which extend the existing meas…

Multivariate statisticsTime FactorsGeneral Computer ScienceLogarithmScalar (mathematics)Complex systemTopologyModels BiologicalNeurophysiological time serieBlock-based connectivity analysiGranger causalityStatisticsHumansComputer SimulationDirected coherenceMathematicsNumerical analysisPartial directed coherenceBrainElectroencephalographyVector autoregressive (VAR) modelBrain WavesCausalityAutoregressive modelFrequency domainComputer ScienceSettore ING-INF/06 - Bioingegneria Elettronica E InformaticaGranger causalityAlgorithmsBiotechnologyBiological Cybernetics
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Force-velocity profiling in athletes: Reliability and agreement across methods

2021

The aim of the study was to examine the test-retest reliability and agreement across methods for assessing individual force-velocity (FV) profiles of the lower limbs in athletes. Using a multicenter approach, 27 male athletes completed all measurements for the main analysis, with up to 82 male and female athletes on some measurements. The athletes were tested twice before and twice after a 2- to 6-month period of regular training and sport participation. The double testing sessions were separated by ~1 week. Individual FV-profiles were acquired from incremental loading protocols in squat jump (SJ), countermovement jump (CMJ) and leg press. A force plate, linear encoder and a flight time cal…

MalePhysiologyIntraclass correlationExtrapolationVelocitySocial Sciencesmedicine.disease_causeJumpingMathematical and Statistical TechniquesJumpingStatisticsMedicine and Health SciencesPsychologyRange of Motion ArticularLeg pressMathematicsMeasurementNumerical AnalysisMultidisciplinaryPhysicsStatisticsQRClassical MechanicsSoftware EngineeringVDP::Medisinske Fag: 700::Idrettsmedisinske fag: 850Sports ScienceLower ExtremityPhysical SciencessymbolsJumpLegsEngineering and TechnologyRegression AnalysisMedicineFemaleAnatomyResearch ArticleSportsAdultComputer and Information SciencesAdolescentCoefficient of variationScienceLinear Regression AnalysisResearch and Analysis MethodsComputer SoftwareMotionYoung Adultsymbols.namesakeLinear regressionmedicineHumansMuscle StrengthStatistical MethodsExerciseBehaviorBiological LocomotionBiology and Life SciencesReproducibility of ResultsPearson product-moment correlation coefficientStandard errorAthletesPhysical FitnessBody LimbsExercise TestRecreationMathematics
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Quantum computing thanks to Bianchi groups

2018

It has been shown that the concept of a magic state (in universal quantum computing: uqc) and that of a minimal informationally complete positive operator valued measure: MIC-POVMs (in quantum measurements) are in good agreement when such a magic state is selected in the set of non-stabilizer eigenstates of permutation gates with the Pauli group acting on it [1]. Further work observed that most found low-dimensional MICs may be built from subgroups of the modular group PS L(2, Z) [2] and that this can be understood from the picture of the trefoil knot and related 3-manifolds [3]. Here one concentrates on Bianchi groups PS L(2, O10) (with O10 the integer ring over the imaginary quadratic fie…

Discrete mathematics[SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph]010308 nuclear & particles physicsPhysicsQC1-999010103 numerical & computational mathematics01 natural sciencesRing of integers[SPI.MAT]Engineering Sciences [physics]/MaterialsModular group0103 physical sciencesPauli groupQuadratic field0101 mathematics[SPI.NANO]Engineering Sciences [physics]/Micro and nanotechnologies/MicroelectronicsQuantumEigenvalues and eigenvectorsTrefoil knotQuantum computerMathematics
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