Search results for "Quadrat"

showing 10 items of 344 documents

Remarks on quadratic Hamiltonians in spaceflight mechanics

2006

A particular family of Hamiltonian functions is considered. Such functions are quadratic in the moment variables and arise in spaceflight mechanics when the averaged system of energy minimizing trajectories of the Kepler equation is computed. An important issue of perturbation theory and averaging is to provide integrable approximations of nonlinear systems. It turns out that such integrability properties hold here.

Physics[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Integrable systemApproximations of π010102 general mathematics[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]MechanicsKepler's equationSpaceflight01 natural scienceslaw.invention010101 applied mathematicsNonlinear systemsymbols.namesakeQuadratic equationClassical mechanicslawsymbols[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematicsHamiltonian (quantum mechanics)ComputingMilieux_MISCELLANEOUS
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Stable control of pulse speed in parametric three-wave solitons.

2006

International audience; We analyze the control of the propagation speed of three wave packets interacting in a medium with quadratic nonlinearity and dispersion. We find analytical expressions for mutually trapped pulses with a common velocity in the form of a three-parameter family of solutions of the three-wave resonant interaction. The stability of these novel parametric solitons is simply related to the value of their common group velocity.

Physics[PHYS.PHYS.PHYS-AO-PH]Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph]Analytical expressionsWave packetMathematical analysisDispersion (waves); parameter estimation; quadratic programmingFOS: Physical sciencesGeneral Physics and Astronomy01 natural sciencesStability (probability)Physics - Plasma Physics010305 fluids & plasmasPulse (physics)Plasma Physics (physics.plasm-ph)Classical mechanics[ PHYS.PHYS.PHYS-AO-PH ] Physics [physics]/Physics [physics]/Atmospheric and Oceanic Physics [physics.ao-ph]Dispersion relation0103 physical sciencesDispersion (optics)Group velocity010306 general physicsOptics (physics.optics)Parametric statisticsPhysics - OpticsPhysical review letters
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Cubic optical nonlinearity of

1999

We perform angular non-critical phase-matching third-harmonic generation (THG) experiments in (KTP). From these experiments, we determine the magnitude and sign of the two phase-matched nonlinear coefficients of by a complete analysis of phase-matching properties of the cascaded quadratic and pure cubic processes, the resolution of the coupled propagation equations and by the calculation of the quadratic and cubic dielectric susceptibility tensor by an extended bond charge model; we find: and . We also demonstrate that the two studied THG are mainly governed by the cubic interaction.

Physicsbusiness.industryResolution (electron density)Magnitude (mathematics)DielectricCondensed Matter PhysicsMolecular physicsAtomic and Molecular Physics and OpticsNonlinear systemOptical nonlinearityQuadratic equationOpticsTensorbusinessSign (mathematics)Journal of Physics B: Atomic, Molecular and Optical Physics
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Measurement of the quadratic slope parameter in the K-L -> 3 pi(0) decay Dalitz plot

2001

A value of (-6.1 +- 0.9_{stat} +- 0.5_{syst})*10^{-3} is obtained for the quadratic slope parameter h in the K_L -> 3\pi^0 decay Dalitz plot at the NA48 experiment at the CERN SPS. The result is based on 14.7*10^6 fully reconstructed K_L -> 3\pi^0 -> 6\gamma decays. This is the most precise measurement of any of the Dalitz plot slope parameters in the charged and neutral kaon decays so far.

Physicsneutral kaonParticle physicsNuclear and High Energy PhysicsLarge Hadron Collidermesoni K; decadimenti; Dalitz plotdecadimentiDalitz plotkaon decay; neutral kaon; dalitz plotslope parametersNA48 experimentDalitz plotValue (computer science)KaonsKaons; Dalitz plot; slope parameterskaon decayHigh Energy Physics - Experimentmesoni KClassical mechanicsQuadratic equationK->3-PI
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Rational Hermite Interpolation and Quadrature

1993

Rational Hermite interpolation is used in two different ways in order to derive and analyze quadrature rules. One approach yields quadratures of Gaussian-type whereas the other one generalizes Engels’ dual quadratures exhibiting the close connection between rational Hermite interpolation and quadrature in general.

Physics::Computational PhysicsCubic Hermite splineHermite splineChebyshev–Gauss quadratureHermite interpolationMonotone cubic interpolationApplied mathematicsBirkhoff interpolationComputer Science::Numerical AnalysisGauss–Kronrod quadrature formulaMathematics::Numerical AnalysisMathematicsClenshaw–Curtis quadrature
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Gauss-Type Quadrature Formulae for Parabolic Splines with Equidistant Knots

2010

We construct Gauss, Lobatto, and Radau quadrature formulae associated with the spaces of parabolic splines with equidistant knots. These quadrature formulae are known to be asymptotically optimal in Sobolev spaces W p 3. Sharp estimates for the error constant in W ∞ 3 are given.

Physics::Computational PhysicsSobolev spaceAsymptotically optimal algorithmMathematical analysisGaussEquidistantConstant errorMathematics::Numerical AnalysisMathematicsQuadrature (mathematics)
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Shape design optimization in 2D aerodynamics using Genetic Algorithms on parallel computers

1996

Publisher Summary This chapter presents two Shape Optimization problems for two dimensional airfoil designs. The first one is a reconstruction problem for an airfoil when the velocity of the flow is known on the surface of airfoil. The second problem is to minimize the shock drag of an airfoil at transonic regime. The flow is modeled by the full potential equations. The discretization of the state equation is done using the finite element method and the resulting non-linear system of equations is solved by using a multi-grid method. The non-linear minimization process corresponding to the shape optimization problems are solved by a parallel implementation of a genetic algorithm (GA). Some n…

Physics::Fluid DynamicsAirfoilOptimal designMathematical optimizationDiscretizationApplied mathematicsShape optimizationAerodynamicsTransonicFinite element methodMathematicsSequential quadratic programming
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La ricerca pittorica di Pietro Finelli tra citazione e riscrittura

2013

Il volume raccoglie saggi di quattro studiosi, di cui due storici dell'arte e due storici del cinema, sul ciclo di pitture recenti realizzate da Pietro Finelli e ispirate al cinema noir statunitense degli anni '40 del Novecento. In particolare il saggio di Gabriella De Marco evidenzia come la ricerca dell'artista sia un esempio di ekphrasis proprio perchè si muove non solo tra ricerca figurativa e cinema ma attinge anche ai rapporti tra arte, filosofia e letteratura.

Pittura contemporanea cinema noir statunitente letteratura arte fiamminga prospettiva rinascimentale finestra quadraturismoSettore L-ART/03 - Storia Dell'Arte Contemporanea
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Estimating intrinsic image from successive images by solving underdetermined and overdetermined systems of the dichromatic model

2020

International audience; Estimating an intrinsic image from a sequence of successive images taken from an object at different angles of illumination can be used in various applications such as objects recognition, color classification, and the like; because, in so doing, it can provide more visual information. Meanwhile, according to the well-known dichromatic model, each image can be considered a linear combination of three components, including intrinsic image, shading factor, and specularity. In this study, at first, two simple independent constrained and parallelized quadratic programming steps were used for computing values of the shading factor and the specularity of each successive of…

PixelUnderdetermined systemComputer sciencebusiness.industry[INFO.INFO-GR] Computer Science [cs]/Graphics [cs.GR]ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONSingular value decompositionIntrinsic image[INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR]Dichromatic ModelOverdetermined systemGamutSpecularity[INFO.INFO-TI] Computer Science [cs]/Image Processing [eess.IV][INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV]Singular value decompositionComputer visionQuadratic programmingArtificial intelligenceLinear combinationbusinessComputingMethodologies_COMPUTERGRAPHICS
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Spectrum of composition operators on S(R) with polynomial symbols

2020

Abstract We study the spectrum of operators in the Schwartz space of rapidly decreasing functions which associate each function with its composition with a polynomial. In the case where this operator is mean ergodic we prove that its spectrum reduces to {0}, while the spectrum of any non mean ergodic composition operator with a polynomial always contains the closed unit disc except perhaps the origin. We obtain a complete description of the spectrum of the composition operator with a quadratic polynomial or a cubic polynomial with positive leading coefficient.

PolynomialPure mathematicsComposition operatorGeneral Mathematics010102 general mathematicsSpectrum (functional analysis)Quadratic function01 natural sciencesOperator (computer programming)Schwartz space0103 physical sciencesErgodic theory010307 mathematical physics0101 mathematicsCubic functionMathematicsAdvances in Mathematics
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