Search results for " project"

showing 10 items of 1296 documents

A simple proof for the formula to get symmetrized powers of group representations

1993

A general formula to decompose the p-power of irreducible representations of an arbitrary space group into sum of sets of irreducible representations of such a group, having identical permutational symmetry, is presented. Its proof is based upon a straightforward application of the properties of the generalized projection (shift) operators. © 1993 John Wiley & Sons, Inc.

Pure mathematicsGroup (mathematics)Generalized projectionCondensed Matter PhysicsSpace (mathematics)Atomic and Molecular Physics and OpticsGroup representationSimple (abstract algebra)Representation theory of SUIrreducible representationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONPhysical and Theoretical ChemistrySymmetry (geometry)MathematicsInternational Journal of Quantum Chemistry
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A Tomographical Characterization of L-convex Polyominoes

2005

Our main purpose is to characterize the class of L-convex polyominoes introduced in [3] by means of their horizontal and vertical projections. The achieved results allow an answer to one of the most relevant questions in tomography i.e. the uniqueness of discrete sets, with respect to their horizontal and vertical projections. In this paper, by giving a characterization of L-convex polyominoes, we investigate the connection between uniqueness property and unimodality of vectors of horizontal and vertical projections. In the last section we consider the continuum environment; we extend the definition of L-convex set, and we obtain some results analogous to those for the discrete case.

Pure mathematicsInteger VectorHorizontal and verticalPolyominoDiscrete TomographyConvex setDiscrete geometryUnimodalityConnection (mathematics)Vertical ProjectionContinuum CounterpartMonotone PathUniquenessDiscrete tomographyMathematics
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On Barbilian spaces in projective lattice geometries

1992

We introduce the notion of a Barbilian space of a projective lattice geometry in order to investigate the relationship between lattice-geometric properties and the properties of point-hyperplane structures associated with. We obtain a characterization of those projective lattice geometries, the Barbilian space of which is a Veldkamp space.

Pure mathematicsLattice (module)Differential geometryHigh Energy Physics::LatticeComplex projective spaceHyperbolic geometryProjective spaceGeometryGeometry and TopologySpace (mathematics)Quaternionic projective spaceProjective geometryMathematicsGeometriae Dedicata
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Projecting 4-folds from G(1, 5) to G(1, 4)

2002

We study 4-dimensional subvarieties of the Grassmannian G(1,5) with singular locus of dimension at most 1 that can be isomorphically projected to G(1,4).

Pure mathematicsMathematics::Algebraic GeometryNumber theoryGeneral MathematicsGrassmannianGeometryAlgebraic geometrySettore MAT/03 - GeometriaLocus (mathematics)Computer Science::DatabasesMathematicsGrassmannians projections
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Rigged Hilbert spaces and contractive families of Hilbert spaces

2013

The existence of a rigged Hilbert space whose extreme spaces are, respectively, the projective and the inductive limit of a directed contractive family of Hilbert spaces is investigated. It is proved that, when it exists, this rigged Hilbert space is the same as the canonical rigged Hilbert space associated to a family of closable operators in the central Hilbert space.

Pure mathematicsMathematics::Operator AlgebrasGeneral MathematicsHilbert spaceRigged Hilbert spaceDirect limitPhysics::Classical PhysicsFunctional Analysis (math.FA)Mathematics - Functional Analysissymbols.namesakeSettore MAT/05 - Analisi Matematica47A70 46A13 46M40Mathematics::Quantum AlgebrasymbolsFOS: MathematicsRigged Hilbert spaces · Inductive and projective limitsMathematics
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A note on k-generalized projections

2007

Abstract In this note, we investigate characterizations for k -generalized projections (i.e., A k  =  A ∗ ) on Hilbert spaces. The obtained results generalize those for generalized projections on Hilbert spaces in [Hong-Ke Du, Yuan Li, The spectral characterization of generalized projections, Linear Algebra Appl. 400 (2005) 313–318] and those for matrices in [J. Benitez, N. Thome, Characterizations and linear combinations of k -generalized projectors, Linear Algebra Appl. 410 (2005) 150–159].

Pure mathematicsNumerical AnalysisAlgebra and Number TheoryNormal matricesHilbert spaceCharacterization (mathematics)Matrius (Matemàtica)Normal matrixAlgebrasymbols.namesakeLinear algebrasymbolsDiscrete Mathematics and CombinatoricsSpectral projectionGeometry and TopologyÀlgebra linealLinear combinationProjectionst-Potent matricesMathematicsLinear Algebra and its Applications
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Analytic Bergman operators in the semiclassical limit

2018

Transposing the Berezin quantization into the setting of analytic microlocal analysis, we construct approximate semiclassical Bergman projections on weighted $L^2$ spaces with analytic weights, and show that their kernel functions admit an asymptotic expansion in the class of analytic symbols. As a corollary, we obtain new estimates for asymptotic expansions of the Bergman kernel on $\mathbb{C}^n$ and for high powers of ample holomorphic line bundles over compact complex manifolds.

Pure mathematicsadjoint operatorsMicrolocal analysis32A2501 natural sciences[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Limit (mathematics)Bergman projectionComplex Variables (math.CV)[MATH]Mathematics [math]Mathematics::Symplectic GeometryMathematical PhysicsBergman kernelMathematicsasymptotic expansionweighted L2-estimates58J40[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]Mathematical Physics (math-ph)16. Peace & justiceFunctional Analysis (math.FA)Mathematics - Functional Analysisasymptoticstheoremkernelanalytic pseudodifferential operator010307 mathematical physicsAsymptotic expansion47B35classical limitAnalysis of PDEs (math.AP)Toeplitz operatorGeneral Mathematics70H15Holomorphic functionFOS: Physical sciencesSemiclassical physicsKähler manifold[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]analytic symbolsMathematics - Analysis of PDEskahler-metrics0103 physical sciencesFOS: Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]0101 mathematicsMathematics - Complex VariablesMathematics::Complex Variables010102 general mathematics32W25space35A27Kähler manifoldmicrolocal analysisToeplitz operatorquantizationsemiclassical analysis
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Feature selection strategies for quality screening of diesel samples by infrared spectrometry and linear discriminant analysis.

2012

Abstract A rapid approach has been developed for the characterization of diesel quality, based on attenuated total reflectance – Fourier transform infrared (ATR-FTIR) spectrometry, which could be useful for diagnosing the sample quality condition. As a supervised technique, linear discriminant analysis (LDA) was employed to process the spectrometric data. The role of variable selection methods was also evaluated. Successive projection algorithm (SPA) and genetic algorithm (GA) feature selection techniques were applied prior to the discriminative procedure. It was aimed to compare the effect of feature selection procedures on classification capability of IR spectrometry for the diesel sample…

Quality ControlPrincipal Component AnalysisChemistrybusiness.industryAnalytical chemistryDiscriminant AnalysisFeature selectionPattern recognitionLinear discriminant analysisAnalytical ChemistryChemometricssymbols.namesakeDiesel fuelFourier transformDiscriminative modelGenetic algorithmSpectroscopy Fourier Transform InfraredsymbolsArtificial intelligencebusinessDykstra's projection algorithmAlgorithmsGasolineTalanta
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A pilot study on aesthetic treatments performed by qualified aesthetic practitioners: efficacy on health-related quality of life in breast cancer pat…

2019

Purpose Cancer treatments often produce undesirable side-effects, such as skin toxicity, impacting on everyday functioning and health-related quality of life (HRQoL). This experimental study sought to determine whether aesthetic products and treatments could significantly decrease perceived skin symptoms, psychological distress and improve skin-related QoL (SRQoL). Methods An experimental group composed of 100 breast patients was enrolled for specialized aesthetic treatments at the European Institute of Oncology (IEO) and compared to a control group of 70 breast patients who did not receive any aesthetic treatment. A measure of SRQoL (i.e., Skindex-16) and a distress thermometer were admini…

Quality of lifemedicine.medical_specialtyEstheticsBreast NeoplasmsPilot ProjectsSettore M-PSI/08 - PSICOLOGIA CLINICAAesthetic treatmentArticle03 medical and health sciences0302 clinical medicineBreast cancerQuality of lifemedicineDistress ThermometerHumansSurgery PlasticCancer treatmentsHealth related quality of lifebusiness.industry030503 health policy & servicesPublic Health Environmental and Occupational HealthComplete remissionCancerSkin toxicityMiddle Agedmedicine.diseaseSkin symptomsHealth psychologyDistress030220 oncology & carcinogenesisPhysical therapyFemale0305 other medical sciencebusinessQuality of life research : an international journal of quality of life aspects of treatment, care and rehabilitation
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Inclusive π±, K± and(p,p¯) differential cross-sections at the Z resonance

1995

Inclusive π±, K± and $$(p,\bar p)$$ differential cross-sections in hadronic decays of the Z have been measured as a function ofz=P hadron/P beam, the scaled momentum. The results are based on approximately 520 000 events measured by the ALEPH detector at LEP during 1992. Charged particles are identified by their rate of ionization energy loss in the ALEPH Time Projection Chamber. The position, ξ*, of the peak in the ln(1/z) distribution is determined, and the evolution of the peak position with centre-of-mass energy is compared with the prediction of QCD.

Quantum chromodynamicsPhysicsParticle physicsTime projection chamberPhysics and Astronomy (miscellaneous)Electron–positron annihilationHigh Energy Physics::PhenomenologyHadronResonance (particle physics)Charged particleNuclear physicsMomentumALEPH ExperimentHigh Energy Physics::ExperimentEngineering (miscellaneous)ALEPH experiment
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