Search results for "Linear"

showing 10 items of 7165 documents

Back to the Amitsur-Levitzki theorem: a super version for the orthosymplectic Lie superalgebra osp(1, 2n)

2003

We prove an Amitsur-Levitzki type theorem for the Lie superalgebras osp(1,2n) inspired by Kostant's cohomological interpretation of the classical theorem. We show that the Lie superalgebras gl(p,q) cannot satisfy an Amitsur-Levitzki type super identity if p, q are non zero and conjecture that neither can any other classical simple Lie superalgebra with the exception of osp(1,2n).

Lie superalgebraType (model theory)17B2001 natural sciencesInterpretation (model theory)CombinatoricsIdentity (mathematics)Simple (abstract algebra)Mathematics::Quantum Algebra0103 physical sciencesFOS: Mathematics0101 mathematicsRepresentation Theory (math.RT)Classical theoremMathematics::Representation TheoryMathematical PhysicsPhysicsConjecture[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]010308 nuclear & particles physics010102 general mathematicsMathematics::Rings and AlgebrasStatistical and Nonlinear Physics16. Peace & justice17B56[ MATH.MATH-RT ] Mathematics [math]/Representation Theory [math.RT]17B20; 17B56Mathematics - Representation Theory
researchProduct

Comparative G2(MP2) molecular orbital study of [H 3 AlX(CH 3 ) 2 ] − (X=N, P, and As) and H 3 AlY(CH 3 ) 2 (Y=O, S, and Se) donor–acceptor complexes

2001

Abstract [H3AlX(CH3)2]− (X=N, P, and As) and H3AlY(CH3)2 (Y=O, S, and Se) donor–acceptor complexes have been studied using G2(MP2) level of theory. The coordination mode, the structural and the methyl substitution effects upon complexation are analyzed. The interaction of the alane with the donor ligand is stronger in the anionic complexes than in the neutral ones and the methylated complexes are more stable than the hydrogenated ones. The coordination is ensured by tow interactions having a reverse character: interaction between a′ symmetry fragment molecular orbital (stabilizing) and interaction between a″ symmetry occupied molecular orbital (destabilizing) of the two fragments. A linear …

LigandStereochemistryChemistryMolecular orbitalCharge (physics)Physical and Theoretical ChemistryLinear correlationCondensed Matter PhysicsDonor acceptorBiochemistryFragment molecular orbitalNatural bond orbitalJournal of Molecular Structure: THEOCHEM
researchProduct

Experimental signature of optical wave thermalization through supercontinuum generation in photonic crystal fiber

2009

International audience; We report an experimental, numerical and theoretical study of the incoherent regime of supercontinuum generation in a two zero dispersion wavelengths fiber. By using a simple experimental setup, we show that the phenomenon of spectral broadening inherent to supercontinuum generation can be described as a thermalization process, which is characterized by an irreversible evolution of the optical field towards a thermal equilibrium state. In particular, the thermodynamic equilibrium spectrum predicted by the kinetic wave theory is characterized by a double peak structure, which has been found in quantitative agreement with the numerical simulations without adjustable pa…

LightThermodynamic equilibriumOptical fieldSpectrum Analysis Raman01 natural sciences010309 opticssymbols.namesakeOptics0103 physical sciencesFiber Optic TechnologyScattering RadiationComputer Simulation010306 general physicsPhysics[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics]Photons[ PHYS.PHYS.PHYS-OPTICS ] Physics [physics]/Physics [physics]/Optics [physics.optics]business.industryTemperatureNonlinear opticsModels TheoreticalAtomic and Molecular Physics and OpticsSupercontinuumWavelengthsymbolsbusinessRaman scatteringDoppler broadeningPhotonic-crystal fiber
researchProduct

Spatio-Chromatic Adaptation via Higher-Order Canonical Correlation Analysis of Natural Images

2014

Independent component and canonical correlation analysis are two general-purpose statistical methods with wide applicability. In neuroscience, independent component analysis of chromatic natural images explains the spatio-chromatic structure of primary cortical receptive fields in terms of properties of the visual environment. Canonical correlation analysis explains similarly chromatic adaptation to different illuminations. But, as we show in this paper, neither of the two methods generalizes well to explain both spatio-chromatic processing and adaptation at the same time. We propose a statistical method which combines the desirable properties of independent component and canonical correlat…

LightVisual SystemRECEPTIVE-FIELD PROPERTIESlcsh:MedicineSocial and Behavioral SciencesBioinformaticsSTRIATE CORTEXCOLOR APPEARANCEImage Processing Computer-AssistedPsychophysicsPsychologylcsh:ScienceVisual CortexMathematicsCoding MechanismsMultidisciplinarySPECTRAL DESCRIPTIONSStatisticsSensory SystemsPRIMARY VISUAL-CORTEXDATA SETSPrincipal component analysisSensory PerceptionSPATIAL STRUCTURECanonical correlationAlgorithmsColor PerceptionResearch ArticleeducationColorCHROMATIC MECHANISMS114 Physical sciencesArtificial IntelligenceComponent (UML)PsychophysicsHumansComputer SimulationChromatic scaleStatistical MethodsBiologyProbabilityComputational NeuroscienceModels StatisticalINDEPENDENT COMPONENT ANALYSISbusiness.industrylcsh:RNeurosciencesComputational BiologyPattern recognitionIndependent component analysisData set2-STAGE LINEAR RECOVERYChromatic adaptationlcsh:QArtificial intelligencebusinessPhotic StimulationMathematicsNeurosciencePLoS ONE
researchProduct

A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration

1999

We present a new method for solving total variation (TV) minimization problems in image restoration. The main idea is to remove some of the singularity caused by the nondifferentiability of the quantity $|\nabla u|$ in the definition of the TV-norm before we apply a linearization technique such as Newton's method. This is accomplished by introducing an additional variable for the flux quantity appearing in the gradient of the objective function, which can be interpreted as the normal vector to the level sets of the image u. Our method can be viewed as a primal-dual method as proposed by Conn and Overton [ A Primal-Dual Interior Point Method for Minimizing a Sum of Euclidean Norms, preprint,…

Line searchApplied MathematicsMathematical analysisTikhonov regularizationComputational Mathematicssymbols.namesakeRate of convergenceLinearizationConjugate gradient methodsymbolsNewton's methodImage restorationInterior point methodMathematicsSIAM Journal on Scientific Computing
researchProduct

Frictionless contact-detachment analysis: iterative linear complementarity and quadratic programming approaches.

2012

The object of the paper concerns a consistent formulation of the classical Signorini’s theory regarding the frictionless contact problem between two elastic bodies in the hypothesis of small displacements and strains. The employment of the symmetric Galerkin boundary element method, based on boundary discrete quantities, makes it possible to distinguish two different boundary types, one in contact as the zone of potential detachment, called the real boundary, the other detached as the zone of potential contact, called the virtual boundary. The contact-detachment problem is decomposed into two sub-problems: one is purely elastic, the other regards the contact condition. Following this method…

Linear ComplementarityQuadratic ProgrammingApplied MathematicsMechanical EngineeringContact-detachmentMathematical analysisComputational MechanicsOcean EngineeringMixed boundary conditionSymmetric BEMLinear complementarity problemComplementarity (physics)Computational MathematicsSymmetric BEM Contact-detachment Linear Complementarity Quadratic ProgrammingComputational Theory and MathematicsFree boundary problemBoundary value problemQuadratic programmingSettore ICAR/08 - Scienza Delle CostruzioniGalerkin methodBoundary element methodMathematics
researchProduct

Progettazione, realizzazione e caratterizzazione di un Generatore Lineare Tubolare a Magneti Permanenti per lo sfruttamento del moto ondoso marino

Linear Electric Machines Tubular linear permanent magnet generator linear electric actuatorSettore ING-IND/32 - Convertitori Macchine E Azionamenti Elettrici
researchProduct

Experimental and numerical study on Linear Friction Welding of AA2011 Aluminum Alloy

2014

Linear Friction Welding Aluminum Alloys FEM.
researchProduct

COMPUTER AIDED ENGINEERING OF SOLID BONDING PHENOMENA

2014

Joining is a fundamental technological process in manufacturing used to create a single piece from two or more parts. Welding is still today one of the most popular joining techniques used in manufacturing allowing a permanent junction. Traditional welding processes are based on the melting of the materials to be joined. In this way, several defects may arise because of solidification problems, joints deformation due to elevated residual stress and metallurgical integrity of the joints (intermetallic, porosities, etc). As an example, some aluminum alloys present considerable problems the junction is carried out by traditional fusion welding methods. During the melting process, in fact, the …

Linear Friction Welding Solid Bonding phenomena Accumulatire Roll Bonding
researchProduct

A new solution for the sea wave exploitation. A linear ironless generator

2019

The exploitation of sea wave represents an important frontier for the energy sustainability in the next future. Despite the proposal of several techniques and solutions, commercial devices are not available. In this context, the Department of Engineering is investigating an innovative solution based on linear energy generators. This machine can be adopted as the main component in a wave energy converter, that is the device for the energy extraction of sea wave. Starting from an existing prototype, the paper examines the replacement of the iron stator with a non-magnetic material, in order to solve several common problems of linear generators, such as the cogging force. Results are reported,…

Linear GeneratorEnergy converterStatorComputer science020209 energy020208 electrical & electronic engineeringMechanical engineeringContext (language use)02 engineering and technologySettore ING-IND/32 - Convertitori Macchine E Azionamenti ElettriciPoint Absorberslaw.inventionGenerator (circuit theory)Settore ING-INF/04 - AutomaticalawIronless Electrical MachineComponent (UML)Linear congruential generator0202 electrical engineering electronic engineering information engineeringSea waveEnergy (signal processing)Voltage
researchProduct