Search results for " Integration"

showing 10 items of 1034 documents

On the Minimal Solution of the Problem of Primitives

2000

Abstract We characterize the primitives of the minimal extension of the Lebesgue integral which also integrates the derivatives of differentiable functions (called the C -integral). Then we prove that each BV function is a multiplier for the C -integral and that the product of a derivative and a BV function is a derivative modulo a Lebesgue integrable function having arbitrarily small L 1 -norm.

Pure mathematicsApplied MathematicsModuloMathematical analysisRiemann integralLebesgue integrationWeak derivativeMultiplier (Fourier analysis)symbols.namesakeBounded variationsymbolsLocally integrable functionDifferentiable functionAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Quasi *-algebras of measurable operators

2009

Non-commutative $L^p$-spaces are shown to constitute examples of a class of Banach quasi *-algebras called CQ*-algebras. For $p\geq 2$ they are also proved to possess a {\em sufficient} family of bounded positive sesquilinear forms satisfying certain invariance properties. CQ *-algebras of measurable operators over a finite von Neumann algebra are also constructed and it is proven that any abstract CQ*-algebra $(\X,\Ao)$ possessing a sufficient family of bounded positive tracial sesquilinear forms can be represented as a CQ*-algebra of this type.

Pure mathematicsClass (set theory)Mathematics::Operator AlgebrasGeneral MathematicsNon-commutative integrationPartial algebras of operatorsFOS: Physical sciencesMathematical Physics (math-ph)Type (model theory)symbols.namesakeVon Neumann algebraSettore MAT/05 - Analisi MatematicaBounded functionsymbolsBanach C*-moduleSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematics
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Locally convex quasi C*-algebras and noncommutative integration

2015

In this paper we continue the analysis undertaken in a series of previous papers on structures arising as completions of C*-algebras under topologies coarser that their norm and we focus our attention on the so-called {\em locally convex quasi C*-algebras}. We show, in particular, that any strongly *-semisimple locally convex quasi C*-algebra $(\X,\Ao)$, can be represented in a class of noncommutative local $L^2$-spaces.

Pure mathematicsClass (set theory)Series (mathematics)General Mathematicsnoncommutative integrationRegular polygonFOS: Physical sciencesMathematical Physics (math-ph)Noncommutative geometrySettore MAT/05 - Analisi MatematicaNorm (mathematics)quasi C*-algebrasPrimary 46L08 Secondary 46L51 47L60Focus (optics)Mathematical PhysicsMathematics
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Biweights on Partial *-Algebras

2000

This chapter is devoted to the systematic investigation of biweights on partial *-algebras. These are a generalization of invariant positive sesquilinear forms that still allows a Gel’fand—Naĭmark—Segal (GNS) construction of representations. In Section 9.1, we apply this GNS construction for biweights and we obtain *-representations and cyclic vector representations of partial *-algebras, and we give some examples of biweights. Section 9.2 is devoted to the investigation of the Radon—Nikodým theorem and the Lebesgue decomposition theorem for biweights on partial *-algebras. In Section 9.3, we define regular and singular biweights on partial *-algebras and we characterize them with help of t…

Pure mathematicsDirect sumMathematics::Operator AlgebrasApplied MathematicsHilbert spacePartial *-algebrasLebesgue integrationLinear spansymbols.namesakeadmissible biweightsbiweightsSchwartz spaceBounded functionsymbolsGNS constructionInvariant (mathematics)weightsapproximately admissible biweightsAnalysisMathematicsDecomposition theoremJournal of Mathematical Analysis and Applications
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Dimension of self-affine sets for fixed translation vectors

2018

An affine iterated function system is a finite collection of affine invertible contractions and the invariant set associated to the mappings is called self-affine. In 1988, Falconer proved that, for given matrices, the Hausdorff dimension of the self-affine set is the affinity dimension for Lebesgue almost every translation vectors. Similar statement was proven by Jordan, Pollicott, and Simon in 2007 for the dimension of self-affine measures. In this article, we have an orthogonal approach. We introduce a class of self-affine systems in which, given translation vectors, we get the same results for Lebesgue almost all matrices. The proofs rely on Ledrappier-Young theory that was recently ver…

Pure mathematicsEuclidean spaceGeneral Mathematics010102 general mathematicsTranslation (geometry)Lebesgue integration01 natural sciencesMeasure (mathematics)010104 statistics & probabilitysymbols.namesakeIterated function systemHausdorff dimensionsymbolsAffine transformation0101 mathematicsInvariant (mathematics)MathematicsJournal of the London Mathematical Society
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On the inverse absolute continuity of quasiconformal mappings on hypersurfaces

2018

We construct quasiconformal mappings $f\colon \mathbb{R}^{3} \rightarrow \mathbb{R}^{3}$ for which there is a Borel set $E \subset \mathbb{R}^2 \times \{0\}$ of positive Lebesgue $2$-measure whose image $f(E)$ has Hausdorff $2$-measure zero. This gives a solution to the open problem of inverse absolute continuity of quasiconformal mappings on hypersurfaces, attributed to Gehring. By implication, our result also answers questions of V\"ais\"al\"a and Astala--Bonk--Heinonen.

Pure mathematicsMathematics::Complex VariablesMathematics - Complex VariablesGeneral MathematicsImage (category theory)Open problem010102 general mathematicsHausdorff spaceZero (complex analysis)InverseAbsolute continuityLebesgue integration01 natural sciences30C65 30L10funktioteoriasymbols.namesakeFOS: MathematicssymbolsMathematics::Metric GeometryComplex Variables (math.CV)0101 mathematicsBorel setMathematics
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Cross cultural marketing teachers' profile

2008

PurposeMarketing has attracted increased interested over the past 15 years in both academic and commercial circles and there has been a market rise in the number of students. At the university level, the characteristics of the teacher play an essential role in student/teacher interaction and influence academic results and future professional success. This influence is revealed in three main areas: the choice of subjects, teaching media and teaching methods. The purpose of this paper is to identify the most commonly found marketing teacher profile and the differences among marketing teachers with respect to the marketing subjects that they impart and the media and methods that they use.Desig…

Qualitative marketing researchInternational educationTeaching methodEducational technologyMathematics educationTechnology integrationCross-culturalDirectoryMarketingPsychologyMarketing scienceEducationMulticultural Education & Technology Journal
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Quality System for Production Software as Tool for Monitoring and Improving Organization KPIs

2013

In this paper we propose a solution as support for quality systems for production software. The motivation behind this study was to reduce that cost in the production area caused by gaps in the quality of the production software. Our proposal: QSPS (Quality System for Production Software) is offering support in the "vulnerable points" of these quality systems which usually generate nonconformities and have proved to be difficult or impossible to control. QSPS is a method in seven steps or modules that integrates also software tools, templates, checklists, evaluating tools elaborated complying to products, process and system quality standards. If other analyzed methods like: Scrum, XP, Fuzzy…

Quality managementComputer Networks and CommunicationsComputer sciencecomputer.software_genreSoftware qualityManufacturing engineeringComputer Science ApplicationsQuality management systemComputational Theory and MathematicsSoftware quality managementOperating systemSoftware quality analystSoftware verification and validationcomputerCapability Maturity Model IntegrationSoftware quality controlInternational Journal of Computers Communications & Control
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Aula abierta

2015

ResumenEl objetivo del presente estudio fue analizar el impacto percibido por parte de los alumnos como resultado de su participación en el programa de la Universidad de la Experiencia de la Universidad de La Rioja. La muestra estuvo formada por 83 alumnos de dicho programa. Al grupo de estudiantes se les aplicó un cuestionario diseñado ad hoc para evaluar potenciales resultados a diferentes niveles: general, educativo, social, afectivo, cognitivo, físico y afectividad negativa. Los resultados obtenidos muestran que el impacto del programa trasciende la adquisición de conocimientos, alcanzando otras esferas relevantes de la persona como son la social, la psicológica y la física. Además, los…

Quality of lifeCalidad de vidaWell-beingApplied psychologySample (statistics)Social integrationNegative affectivitybienestarEnvejecimiento activoEducationActive ageingUniversity educationEmpirical evidenceIntegración socialProgramas universitarios para mayoresinvestigación sobre programas de estudiosCognitionMental activityeducación de adultosenseñanza superiorformación continuaUniversidad de La RiojaPsychologyOlder peopleBienestarUniversity programs for older people
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HAWK 2.0: A Monte Carlo program for Higgs production in vector-boson fusion and Higgs strahlung at hadron colliders

2014

The Monte Carlo integrator HAWK provides precision predictions for Higgs production at hadron colliders in vector-boson fusion and Higgs strahlung, i.e. in production processes where the Higgs boson is Attached to WeaK bosons. The fully differential predictions include the full QCD and electroweak next-to-leading-order corrections. Results are computed as integrated cross sections and as binned distributions for important hadron-collider observables.

Quantum chromodynamicsPhysicsParticle physicsLarge Hadron ColliderHigh Energy Physics::LatticeElectroweak interactionMonte Carlo methodHigh Energy Physics::PhenomenologyGeneral Physics and AstronomyFOS: Physical sciencesVector bosonHigh Energy Physics - ExperimentHigh Energy Physics - Experiment (hep-ex)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Hardware and ArchitectureHiggs bosonMonte Carlo integrationHigh Energy Physics::ExperimentBoson
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