Search results for "Mathematica"

showing 10 items of 7971 documents

Mappings of finite distortion between metric measure spaces

2015

We establish the basic analytic properties of mappings of finite distortion between proper Ahlfors regular metric measure spaces that support a ( 1 , 1 ) (1,1) -Poincaré inequality. As applications, we prove that under certain integrability assumption for the distortion function, the branch set of a mapping of finite distortion between generalized n n -manifolds of type A A has zero Hausdorff n n -measure.

metric measure spacesPure mathematicsInjective metric spaceta111Mathematical analysisMathematicsofComputing_GENERALProduct metricEquivalence of metricsConvex metric spaceIntrinsic metricDistortion (mathematics)mappings of finite distortionMetric (mathematics)Metric mapGeometry and TopologyMathematicsConformal Geometry and Dynamics of the American Mathematical Society
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Uniformization of two-dimensional metric surfaces

2014

We establish uniformization results for metric spaces that are homeomorphic to the Euclidean plane or sphere and have locally finite Hausdorff 2-measure. Applying the geometric definition of quasiconformality, we give a necessary and sufficient condition for such spaces to be QC equivalent to the Euclidean plane, disk, or sphere. Moreover, we show that if such a QC parametrization exists, then the dilatation can be bounded by 2. As an application, we show that the Euclidean upper bound for measures of balls is a sufficient condition for the existence of a 2-QC parametrization. This result gives a new approach to the Bonk-Kleiner theorem on parametrizations of Ahlfors 2-regular spheres by qu…

metric surfacesPure mathematicsMathematics - Complex VariablesGeneral Mathematics010102 general mathematicsPrimary 30L10 Secondary 30C65 28A75 51F99 52A38Hausdorff spaceMetric Geometry (math.MG)01 natural sciencesUpper and lower boundsMetric spaceMathematics - Metric GeometryBounded function0103 physical sciencesMetric (mathematics)Euclidean geometryFOS: MathematicsMathematics::Metric Geometry010307 mathematical physicsComplex Variables (math.CV)0101 mathematicsUniformization (set theory)ParametrizationMathematicsInventiones mathematicae
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Improved Radio-Cesium Detection Using Quantitative Real-Time Autoradiography

2023

Cesium-134 and -137 are prevalent, long-lived, radio-toxic contaminants released into the environment during nuclear accidents. Large quantities of insoluble, respirable Cs-bearing microparticles (CsMPs) were released into the environment during the Fukushima Daiichi nuclear accident. Monitoring for CsMPs in environmental samples is essential to understand the impact of nuclear accidents. The current detection method used to screen for CsMPs (phosphor screen autoradiography) is slow and inefficient. We propose an improved method: real-time autoradiography that uses parallel ionization multiplier gaseous detectors. This technique permits spatially resolved measurement of radioactivity while …

microparticlesmathematical methodshärmistyminenmatemaattiset menetelmätelectrical energypaksuuspienhiukkasetdepositionthicknesssähköenergia
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On the volumetric response of a compacted clay subjected to wetting and drying cycles

2009

Experimental evidence on the volumetric response of a compacted clay was collected in controlled suction oedometric tests, with the aim to assess the volumetric response of this soil when subjected to wetting and drying cycles. The overall soil behaviour seems mainly to depend on the double structural arrangement observed in the compacted specimens. Selected results are presented and discussed focusing on the influence of the stress history on the volumetric response. Test results are simulated by a double-structure suction-dependent elasto-plastic constitutive model, in which the mechanical response is related to micro and macrostructural deformations and their mutual interactions. The pro…

modellingMecànica dels sòlids -- Mètodes numèricsSettore ICAR/07 - Geotecnicamicrostructuresuction cyclevolumetric strain:Enginyeria civil::Geotècnia::Mecànica de sòls [Àrees temàtiques de la UPC]Soil mechanics -- Mathematical modelsunsaturated compacted clay
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Interactions, spillovers de connaissance et croissance des économies modernes. Faut-il préférer la globalisation ou la proximité géographique ?

2009

Globalisation and metropolisation in modern economies induce some locational strategies of knowledge based activities towards cities and deeply increase trade and move of ideas across cities. In that context, we study the way knowledge spillovers have influenced the economic growth of 82 European Metropolises over the 1990-2005 period. We model knowledge spillovers across cities according to three specific interaction patterns depending either on geography or on global advanced services or thought a combination of these patterns. We show that the mixed pattern matters the best for economic growth of cities in Europe.

modern economiesJEL: C - Mathematical and Quantitative Methods/C.C2 - Single Equation Models • Single Variables/C.C2.C21 - Cross-Sectional Models • Spatial Models • Treatment Effect Models • Quantile RegressionsO4JEL : C - Mathematical and Quantitative Methods/C.C2 - Single Equation Models • Single Variables/C.C2.C21 - Cross-Sectional Models • Spatial Models • Treatment Effect Models • Quantile Regressionsurban climate C31JEL : R - Urban Rural Regional Real Estate and Transportation Economics/R.R1 - General Regional Economics/R.R1.R12 - Size and Spatial Distributions of Regional Economic Activityclimat des affaires[ SHS.ECO ] Humanities and Social Sciences/Economies and financesJEL: O - Economic Development Innovation Technological Change and Growth/O.O4 - Economic Growth and Aggregate Productivity[SHS.ECO] Humanities and Social Sciences/Economics and Financecroissance urbainejel:C31JEL: R - Urban Rural Regional Real Estate and Transportation Economics/R.R1 - General Regional Economics/R.R1.R11 - Regional Economic Activity: Growth Development Environmental Issues and Changes[SHS.ECO]Humanities and Social Sciences/Economics and FinanceJEL : R - Urban Rural Regional Real Estate and Transportation Economics/R.R1 - General Regional Economics/R.R1.R11 - Regional Economic Activity: Growth Development Environmental Issues and ChangesR11R12jel:O4metropolisesmétropolesJEL: R - Urban Rural Regional Real Estate and Transportation Economics/R.R1 - General Regional Economics/R.R1.R12 - Size and Spatial Distributions of Regional Economic Activityurban growthspatial interactionsinteractions spatialesjel:R12jel:R11économies modernesmodern economiesurban growthmetropolisesspatial interactionsurban climate C31O4R11R12croissance urbainemétropolesinteractions spatialesclimat des affaireséconomies modernesJEL : O - Economic Development Innovation Technological Change and Growth/O.O4 - Economic Growth and Aggregate Productivity
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MOTIVACIÓN Y ESTILO ATRIBUCIONAL SOBRE EL RENDIMIENTO ACADÉMICO EN EDUCACIÓN INFANTIL

2016

El presente trabajo tiene como objetivo examinar el poder predictivo de variables del sistema motivacional sobre las habilidades iniciales de lectura y matemáticas en una muestra de niños de Educación Infantil. Participaron 209 preescolares (5-6 años) y sus maestros. Se evaluaron las  habilidades matemáticas de conteo, conocimiento de los números, cálculo y resolución de problemas. Para determinar el rendimiento en lectura se administraron tareas de identificación de letras y de lectura de palabras. Respecto al sistema motivacional, se analizaron las variables de competencia-motivación, atención-persistencia y actitud hacia el aprendizaje, así como las dimensiones de internalidad, globalida…

motivación hacia el aprendizajeMathematical problemmedia_common.quotation_subjectestilo atribucionallcsh:BF1-99005 social scienceslecturaStability (learning theory)050301 educationGlobalitymatemáticaseducación infantillcsh:PsychologyMath skillsReading (process)Predictive powerMathematics educationMathematical ability0501 psychology and cognitive sciences0503 education050104 developmental & child psychologymedia_commonVariable (mathematics)
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A visualization technique for accessing solution pool in interactive methods of multiobjective optimization

2015

<pre>Interactive methods of <span>multiobjective</span> optimization repetitively derive <span>Pareto</span> optimal solutions based on decision maker's preference information and present the obtained solutions for his/her consideration. Some interactive methods save the obtained solutions into a solution pool and, at each iteration, allow the decision maker considering any of solutions obtained earlier. This feature contributes to the flexibility of exploring the <span>Pareto</span> optimal set and learning about the optimization problem. However, in the case of many objective functions, the accumulation of derived solutions makes accessing the sol…

multidimensional scalingMathematical optimizationOptimization problemComputer Networks and CommunicationsComputer sciencevisualisointiPareto front visualizationcomputer.software_genreMulti-objective optimizationSet (abstract data type)menetelmätMultidimensional scalingMultiobjective optimizationdimensionality reductionFlexibility (engineering)pareto-tehokkuusDimensionality reductionMultiobjective optimization ; interactive methods ; Pareto front visualization ; dimensionality reduction ; multidimensional scalinginteractive methodsNIMBUSmonitavoiteoptimointiComputer Science ApplicationsVisualizationComputational Theory and MathematicsFeature (computer vision)interaktiivisuusData miningcomputer
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(p,2)-equations resonant at any variational eigenvalue

2018

We consider nonlinear elliptic Dirichlet problems driven by the sum of a p-Laplacian and a Laplacian (a (p,2) -equation). The reaction term at ±∞ is resonant with respect to any variational eigenvalue of the p-Laplacian. We prove two multiplicity theorems for such equations.

multiple solution01 natural sciencesResonance (particle physics)Dirichlet distributionsymbols.namesakeSettore MAT/05 - Analisi Matematicavariational eigenvalues0101 mathematicsEigenvalues and eigenvectorsMathematicsNumerical AnalysisApplied Mathematics010102 general mathematicsMathematical analysisp-LaplacianMathematics::Spectral TheoryTerm (time)010101 applied mathematicsComputational MathematicsNonlinear systemresonancecritical groupsymbolsp-Laplaciannonlinear regularity theoryLaplacianLaplace operatorAnalysis
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Analysis of the psicometric properties of a multiplication and division processes assessment scale

2019

Esta comunicación se encuentra disponible en la siguiente URL: http://www.infad.eu/RevistaINFAD/OJS/index.php/IJODAEP/article/view/1464/1321 Este número está dedicado a la "Psicología de la Educación y Saberes Originarios". The domain of multiplication and division operations depends on both algorithm management and the ability to identify the semantic structure of the problem and to translate it into mathematical language. Many students present difficulties in identifying the semantic structure of the problem but not applying the algorithm when the problem is presented numericaly. The aim of the study is to validate an assessment tool of the processes involved in multiplication and divisio…

multiplicationword problemStructure (mathematical logic)Matemáticas - Problemas y ejercicios.Algorithms - Problems exercises etc.algorithmComputer sciencelcsh:BF1-990Language of mathematicsDivision (mathematics)Domain (software engineering)Algebra - Problems exercises etc.Identification (information)lcsh:PsychologyMathematics - Problems exercises etc.mistakesAlgoritmos - Problemas y ejercicios.divisionMultiplicationÁlgebra - Problemas y ejercicios.ArithmeticError detection and correctionReliability (statistics)
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Global representation and multiscale expansion for the Dirichlet problem in a domain with a small hole close to the boundary

2019

For each pair (Formula presented.) of positive parameters, we define a perforated domain (Formula presented.) by making a small hole of size (Formula presented.) in an open regular subset (Formula presented.) of (Formula presented.) ((Formula presented.)). The hole is situated at distance (Formula presented.) from the outer boundary (Formula presented.) of the domain. Thus, when (Formula presented.) both the size of the hole and its distance from (Formula presented.) tend to zero, but the size shrinks faster than the distance. Next, we consider a Dirichlet problem for the Laplace equation in the perforated domain (Formula presented.) and we denote its solution by (Formula presented.) Our ai…

multiscale asymptotic expansionmulti-scale asymptotic expansionBoundary (topology)01 natural sciences35J25; 31B10; 45A05; 35B25; 35C20Domain (mathematical analysis)Settore MAT/05 - Analisi MatematicaSituated[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]Dirichlet problem; Laplace operator; multiscale asymptotic expansion; real analytic continuation in Banach space; singularly perturbed perforated domainSmall hole[MATH]Mathematics [math]0101 mathematicsRepresentation (mathematics)MathematicsDirichlet problemDirichlet problemApplied Mathematics010102 general mathematicsMathematical analysisA domain010101 applied mathematicssingularly perturbed perforated domainLaplace operatorLaplace operatorAnalysisreal analytic continuation in Banach space
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