Search results for "Continuous"

showing 10 items of 899 documents

Robust existence of nonhyperbolic ergodic measures with positive entropy and full support

2021

We prove that for some manifolds $M$ the set of robustly transitive partially hyperbolic diffeomorphisms of $M$ with one-dimensional nonhyperbolic centre direction contains a $C^1$-open and dense subset of diffeomorphisms with nonhyperbolic measures which are ergodic, fully supported and have positive entropy. To do so, we formulate abstract conditions sufficient for the construction of an ergodic, fully supported measure $\mu$ which has positive entropy and is such that for a continuous function $\phi\colon X\to\mathbb{R}$ the integral $\int\phi\,d\mu$ vanishes. The criterion is an extended version of the control at any scale with a long and sparse tail technique coming from the previous w…

Transitive relationPure mathematicsHyperbolicityMathematics::Dynamical SystemsDense setContinuous function (set theory)[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Scale (descriptive set theory)Dynamical Systems (math.DS)Measure (mathematics)Theoretical Computer SciencePositive entropyMathematics (miscellaneous)FOS: MathematicsErgodic theory37D25 37D35 37D30 28D99Mathematics - Dynamical SystemsMathematicsCriterion
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Suspension system performance optimization with discrete design variables

2013

Published version of an article in the journal: Structural and Multidisciplinary Optimization. Also available from the publisher at: http://dx.doi.org/10.1007/s00158-013-0888-7 Suspension systems on commercial vehicles have become an important feature meeting the requirements from costumers and legislation. The performance of the suspension system is often limited by available catalogue components. Additionally the suspension performance is restricted by the travel speed which highly influences the ride comfort. In this article a suspension system for an articulated dump truck is optimized in sense of reducing elapsed time for two specified duty cycles without violating a certain comfort th…

TruckEngineeringControl and Optimizationbusiness.industryVDP::Technology: 500::Mechanical engineering: 570Control engineeringwhole-body vibrationMultibody systemContinuous designoff-highway vehiclesComputer Graphics and Computer-Aided DesignComputer Science ApplicationsVibrationMechanical systemOperator (computer programming)Control and Systems EngineeringControl theorydiscrete design variablessuspensionhydraulic-mechanical system designSuspension (vehicle)businessEngineering design processride comfortSoftware
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Evaluation of an Algorithm for Retrospective Hypoglycemia Detection Using Professional Continuous Glucose Monitoring Data.

2014

Background: People with type 1 diabetes (T1D) are unable to produce insulin and thus rely on exogenous supply to lower their blood glucose. Studies have shown that intensive insulin therapy reduces the risk of late-diabetic complications by lowering average blood glucose. However, the therapy leads to increased incidence of hypoglycemia. Although inaccurate, professional continuous glucose monitoring (PCGM) can be used to identify hypoglycemic events, which can be useful for adjusting glucose-regulating factors. New pattern classification approaches based on identifying hypoglycemic events through retrospective analysis of PCGM data have shown promising results. The aim of this study was to…

Type 1 diabetesbusiness.industryContinuous glucose monitoringEndocrinology Diabetes and MetabolismInsulinmedicine.medical_treatmentBiomedical EngineeringBioengineeringOriginal ArticlesHypoglycemiamedicine.diseaseDiabetes mellitusInternal MedicinemedicineRetrospective analysisFalse positive paradoxCalibration algorithmbusinessAlgorithmJournal of diabetes science and technology
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Separation of di-n-propyl ether and n-propyl alcohol by extractive distillation and pressure-swing distillation: Computer simulation and economic opt…

2011

Abstract Azeotropic mixtures are impossible to separate by ordinary distillation. Two of the most common methods for separating a binary homogeneous azeotrope are pressure-swing distillation (PSD) and extractive distillation (ED). The PSD process is effective if the azeotropic composition changes significantly with pressure. The ED process is effective if a suitable solvent can be found. This paper compares these two alternatives to separate a mixture made up of 50 mol% of di-n-propyl ether and 50 mol% of n-propyl alcohol by means of a practical case of a plant to treat 12,000 Tm/year of this mixture. The simulation has been carried out satisfactorily by mean of a package of commercial soft…

UNIQUACChromatographyChemistryProcess Chemistry and TechnologyGeneral Chemical EngineeringEnergy Engineering and Power TechnologyThermodynamicsContinuous distillationAlcoholGeneral ChemistryIndustrial and Manufacturing Engineeringlaw.inventionchemistry.chemical_compoundlawScientific methodAzeotropic distillationAzeotropeExtractive distillationDistillationChemical Engineering and Processing: Process Intensification
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Continuous monitoring of an intentionally-manufactured crack using an automated welding and in-process inspection system

2020

Abstract Automated weld deposition coupled with the real-time robotic Non-Destructive Evaluation (NDE) is used in this paper. For performance verification of the in-process inspection system, an intentionally embedded defect, a tungsten rod, is introduced into the multi-pass weld. A partially-filled groove (staircase) sample is also manufactured and ultrasonically tested to calibrate the real-time inspection implemented on all seven layers of the weld which are deposited progressively. The tungsten rod is successfully detected in the real-time NDE of the deposited position. The same robotic inspection system was then used to continuously monitor an intentionally-manufactured crack for 20 h.…

Ultrasonic phased arrayMaterials scienceTKMechanical engineeringchemistry.chemical_element02 engineering and technologyWeldingTungsten010402 general chemistryRobotic NDE01 natural sciencesSignallaw.inventionRobot weldingSettore ING-IND/14 - Progettazione Meccanica E Costruzione Di Macchinelawlcsh:TA401-492Deposition (phase transition)In-process inspectionRobotic weldingGeneral Materials ScienceIntentionally manufactured weld defectsGroove (music)Mechanical EngineeringContinuous monitoringCrack growth monitoringWork in process021001 nanoscience & nanotechnology0104 chemical scienceschemistryMechanics of Materialslcsh:Materials of engineering and construction. Mechanics of materials0210 nano-technology
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Continuous frames for unbounded operators

2021

Few years ago G\u{a}vru\c{t}a gave the notions of $K$-frame and atomic system for a linear bounded operator $K$ in a Hilbert space $\mathcal{H}$ in order to decompose $\mathcal{R}(K)$, the range of $K$, with a frame-like expansion. These notions are here generalized to the case of a densely defined and possibly unbounded operator on a Hilbert space $A$ in a continuous setting, thus extending what have been done in a previous paper in a discrete framework.

Unbounded operator42C15 47A05 47A63 41A65Pure mathematicsContinuous A-frames Continuous weak A-frames Continuous atomic systems Unbounded operatorsAlgebra and Number TheoryAtomic system010102 general mathematicsHilbert spaceOrder (ring theory)01 natural sciencesBounded operatorFunctional Analysis (math.FA)Mathematics - Functional AnalysisRange (mathematics)symbols.namesakeSettore MAT/05 - Analisi Matematica0103 physical sciencessymbolsFOS: Mathematics0101 mathematics010306 general physicsAnalysisMathematics
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Factorization of strongly (p,sigma)-continuous multilinear operators

2013

We introduce the new ideal of strongly-continuous linear operators in order to study the adjoints of the -absolutely continuous linear operators. Starting from this ideal we build a new multi-ideal by using the composition method. We prove the corresponding Pietsch domination theorem and we present a representation of this multi-ideal by a tensor norm. A factorization theorem characterizing the corresponding multi-ideal - which is also new for the linear case - is given. When applied to the case of the Cohen strongly -summing operators, this result gives also a new factorization theorem.

Unbounded operatorDiscrete mathematicsMultilinear mapPrimary 46A32Algebra and Number TheoryMathematics::Commutative AlgebraTensor normSpectral theoremOperator theoryPietsch domination theoremMultilinear operatorsymbols.namesakeFactorizationNorm (mathematics)Weierstrass factorization theoremsymbolsSecondary 47B10FactorizationMATEMATICA APLICADAOperator normAbsolutely continuous operatorsMathematics
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The Average State Complexity of the Star of a Finite Set of Words Is Linear

2008

We prove that, for the uniform distribution over all sets Xof m(that is a fixed integer) non-empty words whose sum of lengths is n, $\mathcal{D}_X$, one of the usual deterministic automata recognizing X*, has on average $\mathcal{O}(n)$ states and that the average state complexity of X*is i¾?(n). We also show that the average time complexity of the computation of the automaton $\mathcal{D}_X$ is $\mathcal{O}(n\log n)$, when the alphabet is of size at least three.

Uniform distribution (continuous)ComputationStar (game theory)0102 computer and information sciences02 engineering and technology[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]01 natural sciencesCombinatoricsInteger0202 electrical engineering electronic engineering information engineeringTime complexityFinite setMathematicsstar operationDiscrete mathematicsaverage case analysistate complexity16. Peace & justiceBinary logarithm[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]automatonState complexity010201 computation theory & mathematicsfinite language020201 artificial intelligence & image processingComputer Science::Formal Languages and Automata Theory
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On achieving near-optimal “Anti-Bayesian” Order Statistics-Based classification fora asymmetric exponential distributions

2013

Published version of a Chapter in the book: Computer Analysis of Images and Patterns. Also available from the publisher at: http://dx.doi.org/10.1007/978-3-642-40261-6_44 This paper considers the use of Order Statistics (OS) in the theory of Pattern Recognition (PR). The pioneering work on using OS for classification was presented in [1] for the Uniform distribution, where it was shown that optimal PR can be achieved in a counter-intuitive manner, diametrically opposed to the Bayesian paradigm, i.e., by comparing the testing sample to a few samples distant from the mean - which is distinct from the optimal Bayesian paradigm. In [2], we showed that the results could be extended for a few sym…

Uniform distribution (continuous)Cumulative distribution functionBayesian probabilityOrder statistic02 engineering and technology01 natural sciencesVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Combinatorics010104 statistics & probabilityBayes' theoremExponential familyclassification using Order Statistics (OS)VDP::Mathematics and natural science: 400::Information and communication science: 420::Knowledge based systems: 4250202 electrical engineering electronic engineering information engineeringApplied mathematics020201 artificial intelligence & image processing0101 mathematicsNatural exponential familymoments of OSBeta distributionMathematics
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Modeling of kinetic and static friction between an elastically bent nanowire and a flat surface

2011

Friction forces for a nanowire (NW) elastically bent on flat substrate were investigated both theoretically and experimentally. Models based on elastic beam theory were proposed considering balance of external, frictional, and elastic forces along the NW. The distributed friction force was determined for two cases: (i) the NW was uniformly dragged at its midpoint and bent by kinetic friction forces and (ii) the NW was held in a bent state by static friction forces. The first case considers a uniform distribution of kinetic friction along the NW and enables the measurement of the friction force from the elastically deformed NW profile. The second case exploits the interplay between static fr…

Uniform distribution (continuous)Materials scienceMechanical EngineeringBent molecular geometryNanowireNanotechnologySubstrate (electronics)MechanicsTribologyCondensed Matter PhysicsKinetic energyMomentumMechanics of MaterialsGeneral Materials ScienceWaferJournal of Materials Research
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