Search results for "projection"

showing 10 items of 378 documents

Do Transposed-Letter Similarity Effects Occur at a Syllable Level?

2006

One key issue for any computational model of visual word recognition is the choice of an input coding scheme for assigning letter position. Recent research has shown that transposed-letter similarity effects occur even when the transposed letters are not adjacent (caniso- casino; Perea & Lupker, 2004 , JML). In the present study we conducted two single-presentation lexical decision experiments to examine whether transposed-letter effects occur at a syllable level. We tested two types of nonwords: (1) nonwords created by transposing two internal CV syllables (PRIVEMARA; the base word is primavera, the Spanish for spring) and (2) nonwords created by transposing two adjacent bigrams that …

PsycholinguisticsBigramSpeech recognitionDecision MakingOrthographic projectionExperimental and Cognitive PsychologyPhoneticsGeneral MedicinePsycholinguisticsLinguisticsSemanticsDiscrimination LearningReadingArts and Humanities (miscellaneous)PhoneticsWord recognitionReaction TimeLexical decision taskHumansAttentionDiscrimination learningComprehensionGeneral PsychologyMathematicsCoding (social sciences)Experimental Psychology
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phi-Best proximity point theorems and applications to variational inequality problems

2017

The main concern of this study is to introduce the notion of $$\varphi $$ -best proximity points and establish the existence and uniqueness of $$\varphi $$ -best proximity point for non-self mappings satisfying $$(F,\varphi )$$ -proximal and $$(F,\varphi )$$ -weak proximal contraction conditions in the context of complete metric spaces. Some examples are supplied to support the usability of our results. As applications of the obtained results, some new best proximity point results in partial metric spaces are presented. Furthermore, sufficient conditions to ensure the existence of a unique solution for a variational inequality problem are also discussed.

Pure mathematics0211 other engineering and technologies(F ?)-weak proximal contractionContext (language use)02 engineering and technologyvariational inequality01 natural sciencesmetric projection?-best proximity point(F ?) -proximal contractionSettore MAT/05 - Analisi Matematica(Fϕ)-proximal contractionphi-best proximity pointPoint (geometry)Uniqueness0101 mathematicsMathematics021103 operations research(F phi)-weak proximal contractionApplied Mathematics010102 general mathematicsMathematical analysispartial metric space(F phi)-proximal contractionProximal contractionMetric spaceModeling and SimulationVariational inequality(Fϕ )-weak proximal contractionGeometry and Topology
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A new proof of the support theorem and the range characterization for the Radon transform

1983

The aim of this note is to give a new and elementary proof of the support theorem for the Radon transform, which is based only on the projection theorem and the Paley-Wiener theorem for the Fourier transform. The idea is to solve a certain system of linear equations in order to determine the coefficients of a homogeneous polynomial (interpolation problem). By the same method, we get a short proof of the range characterization for Radon transforms of functions supported in a ball.

Pure mathematicsFactor theoremRadon transformGeneral MathematicsProjection-slice theoremMathematical analysisElementary proofFourier inversion theoremBrouwer fixed-point theoremRadon's theoremShift theoremMathematicsManuscripta Mathematica
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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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Projective resolutions associated to projections

2000

In this paper we will describe projective resolutions of d dimensional Cohen–Macaulay spaces X by means of a projection of X to a hypersurface in d+1-dimensional space. We will show that for a certain class of projections, the resulting resolution is minimal.

Pure mathematicsHypersurfaceNumber theoryMathematics::Commutative AlgebraProjection (mathematics)General MathematicsProjective spaceAlgebraic geometryProjective testSpace (mathematics)MathematicsResolution (algebra)manuscripta mathematica
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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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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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On cubic elliptic varieties

2013

Let X->P^(n-1) be an elliptic fibration obtained by resolving the indeterminacy of the projection of a cubic hypersurface Y of P^(n+1) from a line L not contained in Y. We prove that the Mordell-Weil group of the elliptic fibration is finite if and only if the Cox ring of X is finitely generated. We also provide a presentation of the Cox ring of X when it is finitely generated.

Pure mathematicsMathematics::Commutative AlgebraGroup (mathematics)Applied MathematicsGeneral MathematicsFibrationMathematics - Algebraic GeometryHypersurfaceMathematics::Algebraic GeometryProjection (mathematics)Line (geometry)14C20 14DxxFOS: MathematicsMathematics (all)Finitely-generated abelian groupSettore MAT/03 - GeometriaCox ringAlgebraic Geometry (math.AG)Mathematics
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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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