Search results for "Regular"

showing 10 items of 855 documents

Locally Convex *-Algebras and the Thermodynamical Limit of Quantum Models

2000

We show that the thermodynamical limit of several physical models is naturally obtained within the framework of topological quasi *-algebras. In particular, the relevance of the algebra L + (D) is shown explicitly by concrete examples.

Convex analysisPure mathematicsMathematical analysisRegular polygonLimit (mathematics)Algebra over a fieldQuantumMathematics
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A comparative study of partitioning methods for crowd simulations

2010

The simulation of large crowds of autonomous agents with realistic behavior is still a challenge for several computer research communities. In order to handle large crowds, some scalable architectures have been proposed. Nevertheless, the effective use of distributed systems requires the use of partitioning methods that can properly distribute the workload generated by agents among the existing distributed resources. In this paper, we analyze the use of irregular shape regions (convex hulls) for solving the partitioning problem. We have compared a partitioning method based on convex hulls with two techniques that use rectangular regions. The performance evaluation results show that the conv…

Convex hullMathematical optimizationFitness functionHeuristicComputer scienceDistributed computingIrregular shapeAutonomous agentRegular polygonLoad balancing (computing)Partition (database)CrowdsScalabilityCrowd simulationSoftwareApplied Soft Computing
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Convexly generic curves in R 3

1988

We study curves immersed in R 3, with special interest in the description of their convex hull frontier structure from a global viewpoint. Genericity conditions are set for these curves by looking at the singularities of height functions on them. We define panel structures for convexly generic curves and work out numerical relations involving the number of tritangent support planes. As a consequence, a generic version of the 4-vertex theorem for convex curves in R 3 is obtained.

Convex hullPure mathematicsDifferential geometryHyperbolic geometryFamily of curvesRegular polygonConvex setGeometryGeometry and TopologyAlgebraic geometryMathematicsProjective geometryGeometriae Dedicata
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Delta- and Daugavet points in Banach spaces

2020

AbstractA Δ-pointxof a Banach space is a norm-one element that is arbitrarily close to convex combinations of elements in the unit ball that are almost at distance 2 fromx. If, in addition, every point in the unit ball is arbitrarily close to such convex combinations,xis a Daugavet point. A Banach spaceXhas the Daugavet property if and only if every norm-one element is a Daugavet point. We show that Δ- and Daugavet points are the same inL1-spaces, inL1-preduals, as well as in a big class of Müntz spaces. We also provide an example of a Banach space where all points on the unit sphere are Δ-points, but none of them are Daugavet points. We also study the property that the unit ball is the clo…

Convex hullUnit spherePure mathematicsClass (set theory)General Mathematics010102 general mathematicsBanach spaceRegular polygonHausdorff spaceVDP::Matematikk og Naturvitenskap: 400::Matematikk: 41001 natural sciences010101 applied mathematicsPoint (geometry)0101 mathematicsElement (category theory)MathematicsProceedings of the Edinburgh Mathematical Society
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Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass

2007

We describe details of the renormalization of two-loop integrals relevant to the calculation of the nucleon mass in the framework of manifestly Lorentz-invariant chiral perturbation theory using infrared renormalization. It is shown that the renormalization can be performed while preserving all relevant symmetries, in particular chiral symmetry, and that renormalized diagrams respect the standard power counting rules. As an application we calculate the chiral expansion of the nucleon mass to order O(q^6).

Coupling constantPhysicsChiral anomalyNuclear and High Energy PhysicsChiral perturbation theoryHigh Energy Physics::LatticeFOS: Physical sciencesRenormalizationHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Regularization (physics)Quantum electrodynamicsHomogeneous spaceFunctional renormalization groupNucleonMathematical physics
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Communicative memory of irregular migration: The re-circulation of news images on YouTube

2016

This article analyses user-generated YouTube cut and mix videos of irregular migration as producing communicative memory of those who have suffered at Europe’s external borders. Visual and textual analyses examine a neglected perspective on the study of media representations of migration by examining a particular practice through which people engage with news images and participate in (re)construction of collective memory in relation to irregular migration. The analysis shows that while hegemonic Eurocentric imagery prevails also in the vernacular amateur productions, re-mixing different cultural productions nevertheless complicates the representation of irregular migration and affords alte…

Cultural StudiescitizenshipHistorySocial Psychologymedia_common.quotation_subjectmuistin politiikkarajat0507 social and economic geography050801 communication & media studiesExperimental and Cognitive Psychologykansalaisuuskärsimysmigrationcomputer.software_genre0508 media and communicationsdigitaalinen kulttuurihumanitarismimuistaminenta518boundariesCitizenshipkuvatmedia_commonMultimediaYouTube05 social sciencesMedia studiesta5142Irregular migrationuutiskuvatmuuttoliikeDigital cultureRe circulationkollektiivinen muisti050703 geographycomputerMemory Studies
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Estudio climático del exponente “n” de las curvas IDF: aplicación para la Península Ibérica

2009

El análisis de las precipitaciones máximas suele llevarse a cabo mediante curvas IDF (Intensidad-Duración-Frecuencia), que a su vez pueden expresarse como curvas IMM (Intensidades Medias Máximas). En este trabajo, hemos desarrollado un índice “n”, definido a partir del exponente que se obtiene de ajustar las curvas climáticas IDF a las curvas IMM. Dicho índice proporciona información sobre el modo en que se alcanzan las precipitaciones máximas en una determinada zona clim´atica, atendiendo a la distribuci´on temporal relativa de las intensidades m´aximas. A partir del an´alisis clim´atico del ´ındice “n”, en la Pen´ınsula Ib´erica se pueden distinguir grandes zonas caracterizadas por m´axim…

Curvas IMMUNESCO::CIENCIAS DE LA TIERRA Y DEL ESPACIO::ClimatologíaRegularity indexCurvas IDF:CIENCIAS DE LA TIERRA Y DEL ESPACIO::Climatología [UNESCO]Intensidad precipitaciónIDF curvesPrecipitation intensityÍndice regularidadMAI curves
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Limits of Sobolev homeomorphisms

2017

Let X; Y subset of R-2 be topologically equivalent bounded Lipschitz domains. We prove that weak and strong limits of homeomorphisms h: X (onto)-> Y in the Sobolev space W-1,W-p (X, R-2), p >= 2; are the same. As an application, we establish the existence of 2D-traction free minimal deformations for fairly general energy integrals. Peer reviewed

DIRICHLET ENERGYGeneral MathematicsDEFORMATIONSMONOTONE MAPPINGSLAPLACE EQUATION01 natural sciencesvariational integralsSobolev inequalityp-harmonic equationNONLINEAR ELASTICITYharmonic mappings111 MathematicsPOINTWISE HARDY INEQUALITIESREGULARITYSPACE0101 mathematicsMathematicsDISTORTIONSURFACESApplied Mathematics010102 general mathematicsMathematical analysisEnergy-minimal deformationsDirichlet's energy010101 applied mathematicsSobolev spaceapproximation of Sobolev homeomorphismsNonlinear elasticityJournal of the European Mathematical Society
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Sequential Learning with LS-SVM for Large-Scale Data Sets

2006

We present a subspace-based variant of LS-SVMs (i.e. regularization networks) that sequentially processes the data and is hence especially suited for online learning tasks. The algorithm works by selecting from the data set a small subset of basis functions that is subsequently used to approximate the full kernel on arbitrary points. This subset is identified online from the data stream. We improve upon existing approaches (esp. the kernel recursive least squares algorithm) by proposing a new, supervised criterion for the selection of the relevant basis functions that takes into account the approximation error incurred from approximating the kernel as well as the reduction of the cost in th…

Data streamSupport vector machineApproximation errorBasis functionSequence learningLarge scale dataAlgorithmRegularization (mathematics)Subspace topologyMathematics
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Quasi-Newton approach to nonnegative image restorations

2000

Abstract Image restoration, or deblurring, is the process of attempting to correct for degradation in a recorded image. Typically the blurring system is assumed to be linear and spatially invariant, and fast Fourier transform (FFT) based schemes result in efficient computational image restoration methods. However, real images have properties that cannot always be handled by linear methods. In particular, an image consists of positive light intensities, and thus a nonnegativity constraint should be enforced. This constraint and other ways of incorporating a priori information have been suggested in various applications, and can lead to substantial improvements in the reconstructions. Neverth…

DeblurringMathematical optimizationNumerical AnalysisAlgebra and Number TheoryPrinciple of maximum entropyFast Fourier transformCirculant matrixBlock Toeplitz matrixConjugate gradient methodReal imageQuasi-Newton methodImage restorationConjugate gradient methodRegularizationA priori and a posterioriQuasi-Newton methodDiscrete Mathematics and CombinatoricsGeometry and TopologyImage restorationMathematicsLinear Algebra and its Applications
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