Search results for " Transformation"

showing 10 items of 1043 documents

Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator

2021

[EN] In this work, we consider control problems represented by a linear differential equation assuming that all the coefficients are random variables and with an additive control that is a stochastic process. Specifically, we will work with controllable problems in which the initial condition and the final target are random variables. The probability density function of the solution and the control has been calculated. The theoretical results have been applied to study, from a probabilistic standpoint, a damped oscillator.

Differential equationDynamics (mechanics)Computational MechanicsRandom damped linear oscillatorsRandom control differential equationComputational MathematicsComputational Theory and MathematicsRandom variable transformation techniqueApplied mathematicsOrder (group theory)First probability density functionMATEMATICA APLICADALinear controlMathematics
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A Unifying Framework for Perturbative Exponential Factorizations

2021

We propose a framework where Fer and Wilcox expansions for the solution of differential equations are derived from two particular choices for the initial transformation that seeds the product expansion. In this scheme, intermediate expansions can also be envisaged. Recurrence formulas are developed. A new lower bound for the convergence of theWilcox expansion is provided, as well as some applications of the results. In particular, two examples are worked out up to a high order of approximation to illustrate the behavior of the Wilcox expansion.

Differential equationGeneral MathematicsEquacions diferencials01 natural sciencesUpper and lower bounds010305 fluids & plasmas0103 physical sciencesConvergence (routing)Fer expansionComputer Science (miscellaneous)Applied mathematicsZassenhaus formula010306 general physicsEngineering (miscellaneous)Mathematicslcsh:MathematicsBellman problemWilcox expansionOrder (ring theory)lcsh:QA1-939Exponential functionTransformation (function)sequences of linear transformationsProduct (mathematics)Scheme (mathematics)MatemàticaMathematics
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Solidification of syndiotactic polystyrene by a continuous cooling transformation approach

2007

Syndiotactic polystyrene (sPS) was solidified from the melt under drastic conditions according to a continuous cooling transformation methodology developed by the authors, which covered a cooling rate range spanning from approximately 0.03 to 3000 °C/s. The samples produced, structurally homogeneous across both their thickness and surface, were analyzed by macroscopic methods, such as density, wide-angle X-ray diffraction (WAXD), and microhardness (MH) measurements. The density was strictly related to the phase content, as confirmed by WAXD deconvolution. The peculiar behavior encountered (the density first decreasing and then increasing with the cooling rate) was attributed to the singular…

DiffractionMaterials sciencePolymers and PlasticsKineticsThermodynamicsCrystal structureContinuous cooling transformationCondensed Matter PhysicsIndentation hardnesslaw.inventionchemistry.chemical_compoundchemistrylawTacticityPolymer chemistryMaterials ChemistryPolystyrenePhysical and Theoretical ChemistryCrystallizationPolymer Crystallization Kinetics
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A study of KNbO3in the pressure range to 12 GPa using synchrotron radiation

1997

Abstract Orthorhombic KNbO3 has been studied by x-ray diffraction as a function of pressure. The lattice cell parameters, volume and stability range of this phase have been determined as a function of the applied pressure. No structural transformation has been observed up to 12 GPa. The resulting P-V data are fitted to a Murnaghan equation state of first-order.

DiffractionMaterials sciencebusiness.industrySynchrotron radiationThermodynamicsCondensed Matter PhysicsStructural transformationElectronic Optical and Magnetic MaterialsPressure rangeCondensed Matter::Materials ScienceOpticsLattice (order)Orthorhombic crystal systembusinessFerroelectrics Letters Section
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The continuous cooling transformation (CCT) as a flexible tool to investigate polymer crystallization under processing conditions

2009

An experimental route for investigating polymer crystallization over a wide range of cooling rates (from 0.01 to 1000◦C/s) and pressures (from 0.1 to 40 MPa) is illustrated, using a method that recalls the approach adopted in metallurgy for studying structure development in metals. Two types of experimental setup were used, namely an apparatus for fast cooling of thin films (100–200 μm thick) at various cooling rates under atmospheric pressure and a device (based on a on-purpose modified injection molding machine) for quenching massive samples (about 1–2 cm3) under hydrostatic pressure fields. In both cases, ex situ characterization experiments were carried out to probe the resulting struct…

DiffractionQuenchingSettore ING-IND/24 - Principi Di Ingegneria ChimicaMaterials sciencePolymers and PlasticsAtmospheric pressureGeneral Chemical EngineeringCrystallization of polymersOrganic ChemistryHydrostatic pressureAnalytical chemistryContinuous cooling transformationSettore ING-IND/22 - Scienza E Tecnologia Dei MaterialiCooling rate Density Morphology Pressure ProcessingThin filmInjection molding machine
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Structure and superconducting properties of YBa2(Cu1−x Fex)3O7

1988

Fe-substituted Y-Ba-Cu superconducting oxide compounds were investigated by dc-magnetic susceptibility measurements, powder X-ray diffraction and Mdssbauer spectroscopy. Fe substitution caused a structural transformation from orthorhombic to tetragonal. Up to 4 at% Fe Tc was almost unaffected. It was found that superconductivity in Cu oxides does not depend on orthorhombic crystal symmetry.

DiffractionSuperconductivityMaterials scienceCondensed matter physicsOxideEnergy Engineering and Power TechnologyCondensed Matter PhysicsStructural transformationElectronic Optical and Magnetic MaterialsTetragonal crystal systemCrystallographychemistry.chemical_compoundchemistryOrthorhombic crystal systemElectrical and Electronic EngineeringSpectroscopyPhysica C: Superconductivity
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Analysis of the crystallization behaviour of PBT-rich PBT/PET blends under processing conditions

2007

Among the high‐performance polyesters blends PBT/PET blends are expected to exhibit remarkable properties as far as the crystallization behaviour is concerned. The solidification behaviour of a 60/40 w/w PBT/PET blend was studied in a wide range of cooling conditions, according to a Continuous Cooling Transformation (CCT) procedure developed by the authors, aiming to emulate the typical conditions encountered in polymer processing. A set of several samples characterized by an homogeneous structure was prepared by solidification from the melt through spray cooling, and the resulting structure and properties were evaluated by density, Micro Hardness (MH), Wide Angle X‐ray Diffraction (WAXD) m…

Diffractionchemistry.chemical_classificationMaterials sciencePolymerContinuous cooling transformationIndentation hardnesslaw.inventionPolyesterNatural rubberchemistrylawvisual_artvisual_art.visual_art_mediumPolymer blendCrystallizationComposite material
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Digital Transformation: An Overview of the Current State of the Art of Research

2021

[EN] The increasing digitalization of economies has highlighted the importance of digital transformation and how it can help businesses stay competitive in the market. However, disruptive changes not only occur at the company level; they also have environmental, societal, and institutional implications. This is the reason why during the past two decades the research on digital transformation has received growing attention, with a wide range of topics investigated in the literature. The following aims to provide insight regarding the current state of the literature on digital transformation (DT) by conducting a systematic literature review. An analysis of co-occurrence using the software VOS…

Digital transformationHTechnologyECONOMIA APLICADABusiness processesAZ20-999Social SciencesHistory of scholarship and learning. The humanities
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Industry 4.0 transition: a systematic literature review combining the absorptive capacity theory and the data–information–knowledge hierarchy

2021

Purpose The effect of the transition toward digital technologies on today’s businesses (i.e. Industry 4.0 transition) is becoming increasingly relevant, and the number of studies that have examined this phenomenon has grown rapidly. However, systematizing the existing findings is still a challenge, from both a theoretical and a managerial point of view. In such a setting, the knowledge management (KM) discipline can provide guidance to address such a gap. Indeed, the implementation of fundamental digital technologies is reshaping how firms manage knowledge. Thus, this study aims to critically review the existing literature on Industry 4.0 from a KM perspective. Design/methodology/approach …

Digital transformationIndustry 4.0 transitionData-information-knowledge hierarchyManagement of Technology and InnovationStrategy and ManagementKnowledge managementOrganizational learningDigital transitionDigital technologiesAbsorptive capacitybsorptive capacity Knowledge management Digital technologies Data-information-knowledge hierarchy Digital transition Industry 4.0 transition Digital transformation Organizational learningSettore ING-IND/35 - Ingegneria Economico-GestionaleAbsorptive capacity; Data-information-knowledge hierarchy; Digital technologies; Digital transformation; Digital transition; Industry 4.0 transition; Knowledge management; Organizational learning
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Singular systems in dimension 3: Cuspidal case and tangent elliptic flat case

2007

We study two singular systems in R3. The first one is affine in control and we achieve weighted blowings-up to prove that singular trajectories exist and that they are not locally time optimal. The second one is linear in control. The characteristic vector field in sub-Riemannian geometry is generically singular at isolated points in dimension 3. We define a case with symmetries, which we call flat, and we parametrize the sub-Riemannian sphere. This sphere is subanalytic.

Dimension (vector space)Homogeneous spaceMathematical analysisTangentTangent vectorAffine transformationExceptional divisorSingular controlEigenvalues and eigenvectorsMathematics
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