Search results for "6a"

showing 10 items of 139 documents

Refrigeration bound of heat-producing cylinders by superfluid helium

2019

In this paper we go ahead in our studies on refrigeration of nanosystems by superfluid helium, as an appealing subject for future applications to computers or astronautical precision nanodevices. We first recall the effective thermal conductivity in laminar counterflow superfluid helium through arrays of mutually parallel cylinders and we discuss the conditions for the appearance of quantum turbulence around the heat-producing cylinders. We then consider the cooling of an array of heat-producing cylindrical nanosystems by means of superfluid-helium counterflow. We discuss the upper bound on heat removal set by avoidance of quantum turbulence and avoidance of phase transition to normal He I,…

Condensed Matter::Quantum GasesPhysics::Fluid Dynamicsthermal conductivity liquid helium quantum turbulence micropores quantized vortices computer refrigeration.Mathematics; PhysicsRefrigerationExtended Thermodynamicssuperfluid heliumPhysics::Atomic and Molecular Clusterslcsh:Science (General)Settore MAT/07 - Fisica MatematicaMSC: 76A25 76F99 80A99.lcsh:Q1-390
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A new control parameter to predict micro-warping-induced job failure in LPBF of TI6AL4V titanium alloy

2023

Abstract Laser powder bed fusion (LPBF) includes a few printing techniques widely used, in recent years, concerning the additive manufacturing of Ti6Al4V alloys. These produced parts, typically utilized in sectors such as aerospace and biomedical, are characterized by very high added value. It is therefore fundamental to identify the influence of process parameters typical of LPBF technology on the occurrence of warping leading to process failure. This study deals with the characterization of single-track and “micro-scale” level warping phenomena which may lead to protrusion of material over the powder bed and process failure before normal termination. This phenomenon was investigated as a …

Control and Systems EngineeringMechanical EngineeringLaser powder bed fusion Ti6Al4V Warping Additive manufacturingSettore ING-IND/16 - Tecnologie E Sistemi Di LavorazioneIndustrial and Manufacturing EngineeringSoftwareComputer Science ApplicationsThe International Journal of Advanced Manufacturing Technology
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Convergence for varying measures

2023

Some limit theorems of the type $\int_{\Omega}f_n dm_n -- --> \int_{\Omega}f dm$ are presented for scalar, (vector), (multi)-valued sequences of m_n-integrable functions f_n. The convergences obtained, in the vector and multivalued settings, are in the weak or in the strong sense.

Convergence in total variationSetwise convergenceConvergence in total variationUniform integrabilityAbsolute integrabilityPettis integralMultifunctionAbsolute integrabilitySetwise convergenceApplied MathematicsFunctional Analysis (math.FA)28B20 26E25 26A39 28B05 46G10 54C60 54C65Mathematics - Functional AnalysisMultifunctionSettore MAT/05 - Analisi MatematicaFOS: MathematicsPettis integralUniform integrabilityAnalysisJournal of Mathematical Analysis and Applications
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A functional variant of the serotonin transporter gene (SLC6A4) moderates impulsive choice in attention-deficit/hyperactivity disorder boys and sibli…

2011

Item does not contain fulltext BACKGROUND: Impulsive drive for immediate reward (IDIR) and delay aversion are dissociable elements of the preference for immediate over delayed rewards seen in attention-deficit/hyperactivity disorder (ADHD). We hypothesized that IDIR would be associated with dopamine regulating genes and delay aversion would be associated with serotonin-regulating genes. METHODS: Impulsive drive for immediate reward and delay aversion were measured in 459 male children and adolescents (328 ADHD and 131 unaffected siblings) with a laboratory choice task. The sample was genotyped for the 5HTT (SLC6A4) promoter serotonin-transporter-linked polymorphic region polymorphism and a …

DEFICIT HYPERACTIVITY DISORDERMedizinSocial Sciencesimpulsivity610 Medicine & healthCHILDRENSingle-nucleotide polymorphismGenomic disorders and inherited multi-system disorders Functional Neurogenomics [IGMD 3]attention-deficit/hyperactivity disorderImpulsivityCOMBINED-TYPE ADHDREACTION-TIME PERFORMANCEDevelopmental psychologyGenomic disorders and inherited multi-system disorders [IGMD 3]DOPAMINE03 medical and health sciences0302 clinical medicineDopaminemedicineAttention deficit hyperactivity disorderddc:610Medizinische Fakultät » Universitätsklinikum Essen » LVR-Klinikum Essen » Klinik für Psychiatrie Psychosomatik und Psychotherapie des Kindes- und JugendaltersAlleleBiological PsychiatrySerotonin transporter030304 developmental biologyDopamine transporterGeneticsMental Health [NCEBP 9]0303 health sciencesDELAY AVERSIONbiologyTRYPTOPHAN DEPLETIONASSOCIATION10058 Department of Child and Adolescent Psychiatrymedicine.diseasePOLYMORPHISM5-HTTLPR (SLC6A4)5-HTTLPRbiology.proteinCRITERION VALIDITYmedicine.symptomDAT1 (SLC6A3)Psychology2803 Biological PsychiatryFunctional Neurogenomics [DCN 2]030217 neurology & neurosurgerymedicine.drugBiological Psychiatry
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Multi-integrals of finite variation

2020

The aim of this paper is to investigate different types of multi-integrals of finite variation and to obtain decomposition results.

Decomposition of multifunctionsFinite variation54C60General Mathematics010102 general mathematics54C6501 natural sciencesFunctional Analysis (math.FA)28B20 26E25 26A39 28B05 46G10 54C60 54C65Mathematics - Functional Analysis28B0526A3926E25Settore MAT/05 - Analisi MatematicaFinite interval variationFOS: MathematicsDecomposition (computer science)Applied mathematicsMathematics - Functional Analysis; Mathematics - Functional Analysis; 28B20 26E25 26A39 28B05 46G10 54C60 54C6528B200101 mathematicsMultivalued integralMathematics46G10
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Pattern formation in clouds via Turing instabilities

2020

Pattern formation in clouds is a well-known feature, which can be observed almost every day. However, the guiding processes for structure formation are mostly unknown, and also theoretical investigations of cloud patterns are quite rare. From many scientific disciplines the occurrence of patterns in non-equilibrium systems due to Turing instabilities is known, i.e. unstable modes grow and form spatial structures. In this study we investigate a generic cloud model for the possibility of Turing instabilities. For this purpose, the model is extended by diffusion terms. We can show that for some cloud models, i.e special cases of the generic model, no Turing instabilities are possible. However,…

Diffusion (acoustics)Structure formation010504 meteorology & atmospheric scienceslinear stability analysisQC1-999Pattern formationCloud computingDynamical Systems (math.DS)01 natural sciences86A10 (Primary) 37G02 (Secondary)numerical simulationspattern formationMeteorology. ClimatologyFOS: MathematicsStatistical physicsMathematics - Dynamical Systems0101 mathematicsSpecial caseTuringspatial patterns0105 earth and related environmental sciencescomputer.programming_languagePhysicsbusiness.industryPhysicscloud schemes010101 applied mathematicsNonlinear systemSpatial ecologyQC851-999businesscomputerMathematics of Climate and Weather Forecasting
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On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid

2016

We study the existence of weak solution for unsteady fluid-structure interaction problem for shear-thickening flow. The time dependent domain has at one part a flexible elastic wall. The evolution of fluid domain is governed by the generalized string equation with action of the fluid forces. The power-law viscosity model is applied to describe shear-dependent non-Newtonian fluids.

Dilatant35D30General MathematicsConstant Viscosity Elastic (Boger) Fluidsfluid-structure interactionhemodynamics01 natural sciencesexistence of weak solutionPhysics::Fluid Dynamics76A0576D03Fluid–structure interactionshear-thinning fluids0101 mathematicsMathematicsWeak solution010102 general mathematicsMechanicsnon-Newtonian fluidsNon-Newtonian fluid010101 applied mathematicsShear rateCondensed Matter::Soft Condensed Matter74F10Shear (geology)Generalized Newtonian fluidshear-thickening fluids35Q30
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$(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces

2019

In this paper we study the $(BV,L^p)$-decomposition, $p=1,2$, of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used in image processing. We obtain the Euler-Lagrange equations of the corresponding variational problems and their gradient flows. In the case $p=1$ we also study the associated geometric problem and the thresholding parameters.

Discrete mathematicsApplied MathematicsImage processingWorkspaceRandom walkThresholding05C80 35R02 05C21 45C99 26A45Mathematics - Analysis of PDEsMetric (mathematics)Decomposition (computer science)FOS: MathematicsAnalysisMathematicsAnalysis of PDEs (math.AP)
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A Structural Theorem for Metric Space Valued Mappings of Φ-bounded Variation

2009

In this paper we introduce the notion of $\Phi$-bounded variation for metric space valued mappings defined on a subset of the real line. Such a notion generalizes the one for real functions introduced by M. Schramm, and many previous generalized variations. We prove a structural theorem for mappings of $\Phi$-bounded variation. As an application we show that each mapping of $\Phi$-bounded variation defined on a subset of $\mathbb{R}$ possesses a $\Phi$-variation preserving extension to the whole real line.

Discrete mathematicsInjective metric spaceextensionstructural theoremTotally bounded space54C35$\Phi$-bounded variation54E35Intrinsic metricmetric space valued mapings variation $Phi$-variation extension structural theorem.metric space valued mappingsUniform normSettore MAT/05 - Analisi MatematicaBounded functionBounded variationGeometry and Topologyvariation26A45Metric differentialReal lineAnalysisMathematics
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A Note on Algebraic Sums of Subsets of the Real Line

2002

AbstractWe investigate the algebraic sums of sets for a large class of invari-ant ˙-ideals and ˙- elds of subsets of the real line. We give a simpleexample of two Borel subsets of the real line such that its algebraicsum is not a Borel set. Next we show a similar result to Proposition 2from A. Kharazishvili paper [4]. Our results are obtained for ideals withcoanalytical bases. 1 Introduction We shall work in ZFC set theory. By !we denote natural numbers. By 4wedenote the symmetric di erence of sets. The cardinality of a set Xwe denoteby jXj. By R we denote the real line and by Q we denote rational numbers. IfAand Bare subsets of R n and b2R , then A+B= fa+b: a2A^b2Bgand A+ b= A+ fbg. Simila…

Discrete mathematicsRational numberLebesgue measurenull setsBaire propertyMathematics::LogicBorel equivalence relation03E15Borel setsalgebraic sumsPolish spaceGeometry and TopologyProperty of Baire26A21Borel setBorel measureReal line28A05AnalysisDescriptive set theoryMathematicsReal Analysis Exchange
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