Search results for "Equality."

showing 10 items of 1308 documents

Fractional Hardy-Sobolev type inequalities for half spaces and John domains

2018

As our main result we prove a variant of the fractional Hardy-Sobolev-Maz'ya inequality for half spaces. This result contains a complete answer to a recent open question by Musina and Nazarov. In the proof we apply a new version of the fractional Hardy-Sobolev inequality that we establish also for more general unbounded John domains than half spaces.

Mathematics::Functional AnalysisPure mathematicsInequalityApplied MathematicsGeneral Mathematicsmedia_common.quotation_subjectta111Mathematics::Classical Analysis and ODEsMathematics::Analysis of PDEsMathematics::Spectral TheoryType (model theory)Sobolev spacefractional Hardy-Sobolev inequalityHardy-Sobolev-Maz'ya inequalityfunktionaalianalyysiepäyhtälötJohn domainsMathematicsmedia_commonProceedings of the American Mathematical Society
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New results concerning Chebyshev–Grüss-type inequalities via discrete oscillations

2014

The classical form of Gruss' inequality was first published by G. Gruss and gives an estimate of the difference between the integral of the product and the product of the integrals of two functions. In the subsequent years, many variants of this inequality appeared in the literature. The aim of this paper is to consider some new bivariate Chebyshev-Gruss-type inequalities via discrete oscillations and to apply them to different tensor products of linear (not necessarily) positive, well-known operators. We also compare the new inequalities with some older results. In the end we give a Chebyshev-Gruss-type inequality with discrete oscillations for more than two functions.

Mathematics::Functional AnalysisPure mathematicsInequalityApplied Mathematicsmedia_common.quotation_subjectMathematical analysisMathematics::Classical Analysis and ODEsBivariate analysisType (model theory)Chebyshev filterComputational MathematicsTensor productProduct (mathematics)MathematikMathematicsmedia_commonApplied Mathematics and Computation
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Dimension gap under Sobolev mappings

2015

Abstract We prove an essentially sharp estimate in terms of generalized Hausdorff measures for the images of boundaries of Holder domains under continuous Sobolev mappings, satisfying suitable Orlicz–Sobolev conditions. This estimate marks a dimension gap, which was first observed in [2] for conformal mappings.

Mathematics::Functional AnalysisPure mathematicsquasihyperbolic distanceGeneral Mathematicsgeneralized Hausdorff measureMathematical analysista111Sobolev mappingHausdorff spaceConformal map16. Peace & justiceSobolev inequalitySobolev spaceDimension (vector space)Orlicz–Sobolev mappingMathematicsAdvances in Mathematics
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Afghanistan and the language of equality : a social contract in the making on a world-system fault

2013

The international intervention in Afghanistan started more than ten years ago. It built on new institutions according to the democratic model, complete with concepts generalized in the Western world since the 18th century, and among them the principle of equality. This model had founded the Amirs’ wished socio-political changes all along the 20th century, but ended in an on-going 30-year chaos with ever-renewed adversaries since the 1970’s. As operated in Afghanistan, tribalism and modernity – meant as an ideology, result in opposition prevaling as a social behaviour, which produces fragmentation or destruction and deals with equality demands through group honor. Consequently, traditionalis…

MaximinIndividuDiversityTraditionalismReparationIndividualMarge[SHS.SCIPO]Humanities and Social Sciences/Political scienceCrisisÉgalitéCriseEqualityDiversitéRéparationGroupeTribalismTribalismeGroupTraditionalisme[ SHS.SCIPO ] Humanities and Social Sciences/Political science[SHS.SCIPO] Humanities and Social Sciences/Political scienceMargin
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Measuring Excellence and Equity in Education : Conceptual and Methodological Issues

2011

The text focuses on the measurement problems both equity and excellence does imply, and on the "technical" choices that are to be made. It aims at showing that those choices are not neutral and have plenty of political consequences. Starting with the problems of definition of both excellence and equity, which should be considered jointly, the paper examines i) how the indicators and methods implemented do have some impact on the amount of inequalities, and ii) on the necessity of a time dimension to figure out how inequalities are generated, along with a system-wide perspective.

MeasurementFairnessMéthodologie[SHS.EDU]Humanities and Social Sciences/EducationInequality schoolProduction d'inégalités[SHS.EDU] Humanities and Social Sciences/EducationMethodologyInégalité scolaire[ SHS.EDU ] Humanities and Social Sciences/EducationEducationIndicateur d'équitéindicator of equityMesureExcellenceProduction of inequalitiesÉquité
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A thermodynamics-based formulation of gradient-dependent plasticity

1998

Abstract A nonlocal thermodynamic theoretical framework is provided as a basis for a consistent formulation of gradient-dependent plasticity in which a scalar internal variable measuring the material isotropic hardening/softening state is the only nonlocal variable. The main concepts of this formulation are: i) the ‘regularization operator’, of differential nature, which governs the relation between the above nonlocal variable and a related local variable (scalar measure of plastic strain) and confers a unified character to the proposed formulation (this transforms into a formulation for nonlocal plasticity if the regularization operator has an integral nature); ii) the ‘nonlocality residua…

Mechanical EngineeringConstitutive equationGeneral Physics and AstronomyThermodynamicsClausius–Duhem inequalityStrain hardening exponentPlasticityDissipationQuantum nonlocalityClassical mechanicsMechanics of MaterialsGeneral Materials ScienceBoundary value problemShear bandMathematicsEuropean Journal of Mechanics - A/Solids
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A unified residual-based thermodynamic framework for strain gradient theories of plasticity

2011

Abstract A unified thermodynamic framework for gradient plasticity theories in small deformations is provided, which is able to accommodate (almost) all existing strain gradient plasticity theories. The concept of energy residual (the long range power density transferred to the generic particle from the surrounding material and locally spent to sustain some extra plastic power) plays a crucial role. An energy balance principle for the extra plastic power leads to a representation formula of the energy residual in terms of a long range stress, typically of the third order, a macroscopic counterpart of the micro-forces acting on the GNDs (Geometrically Necessary Dislocations). The insulation …

Mechanical EngineeringConstitutive equationMechanicsPlasticityClausius–Duhem inequalityDissipationClassical mechanicsMechanics of MaterialsVariational principleDissipative systemGeneral Materials ScienceBoundary value problemMathematicsFree energy principleInternational Journal of Plasticity
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Strain-gradient elastic-plastic material models and assessment of the higher order boundary conditions

2007

Abstract A gradient elastic material model exhibiting gradient kinematic and isotropic hardening is addressed within a thermodynamic framework suitable to cope with nonlocal-type continua. The Clausius–Duhem inequality is used, in conjunction with the concepts of energy residual, insulation condition and locality recovery condition, to derive all the pertinent restrictions upon the constitutive equations, including the PDEs and the related higher order (HO) boundary conditions that govern the gradient material behaviour. Through a suitable limiting procedure, the HO boundary conditions are shown to interpret the action, upon the body's boundary surface, of idealized extra HO constraints cap…

Mechanical EngineeringTraction (engineering)Mathematical analysisConstitutive equationGeneral Physics and AstronomyBoundary (topology)Mixed boundary conditionClausius–Duhem inequalityBoundary conditions in CFDMechanics of MaterialsGeneral Materials ScienceCalculus of variationsBoundary value problemMathematicsEuropean Journal of Mechanics - A/Solids
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The usefulness of the ICF framework in goal setting for students with autism spectrum disorder

2019

AbstractAn Individualized Education Plan (IEP) is a multi-disciplinary, team-developed plan that is required for a child receiving special education services. IEPs are tools for setting objectives that are responsive to students with special needs. The International Classification of Functioning, Disability and Health (ICF) is a hierarchical classification for human functioning and disability developed by the World Health Organization (WHO). The ICF classification can be used as a structural and conceptual instrument in goal setting. In this study the educational IEP objectives of five Finnish students with autism spectrum disorder (ASD) are examined within the ICF framework. The focus is i…

Medical educationGoal orientationbusiness.industry4. Education05 social sciences050301 educationUsabilityPlan (drawing)medicine.diseaseSpecial educationEducationAutism spectrum disordermedicineAutism0501 psychology and cognitive sciences10. No inequalityPsychologybusiness0503 educationGoal setting050104 developmental & child psychologyJournal of International Special Needs Education
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Contents of the Sexual and Reproductive Health Subject in the Undergraduate Nursing Curricula of Spanish Universities, a Cross Sectional Study

2021

Background: Nursing students must receive adequate training in Sexual and Reproductive Health (SRH), which could allow them to acquire sufficient knowledge to solve the future SRH needs of everyone. In this study, the contents of the SRH subject in the undergraduate nursing curricula of 77 Spanish universities were examined to determine what SRH training nursing students are receiving. Methods: The contents of the SRH subject of all the curricula that were available online were reviewed. The distribution of the contents (topics) in the two areas (reproductive health and sexual health) was analyzed, and the prevalence of each topic was established. It was also determined whether there were d…

Medical educationInequalityUndergraduate nursingCross-sectional studybusiness.industrymedia_common.quotation_subjecteducationSubject (documents)nursing_health_studiesAffect (psychology)body regionsNurse educationPsychologybusinessCurriculummedia_commonReproductive health
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