Search results for "Exponent"

showing 10 items of 896 documents

GLOBAL DELAY TIME FOR GENERAL DISTRIBUTED NETWORKS WITH APPLICATIONS TO TIMING ANALYSIS OF DIGITAL MOS INTEGRATED CIRCUITS

1989

We consider here a general nerwork composed by n‐distributed parameters lines (with telegraph‐equations models) and m‐capacitors, all connected by a resistive multiport. An asymptotic stability property drives us to define and evaluate a global parameter (“λ‐delay time”) which describes the speed of signals propagation through the network. Because of its simplicity of calculation and its tightness, the given upper bound of the λ‐delay time is useful in timing analysis of MOS integrated chips.

Delay calculationResistive touchscreenProperty (programming)Computer scienceApplied Mathematicsmedia_common.quotation_subjectStatic timing analysisIntegrated circuitUpper and lower boundsComputer Science Applicationslaw.inventionComputational Theory and MathematicsExponential stabilitylawElectronic engineeringSimplicityElectrical and Electronic Engineeringmedia_commonCOMPEL - The international journal for computation and mathematics in electrical and electronic engineering
researchProduct

Aerosol optical properties and instantaneous radiative forcing based on high temporospatial resolution CARSNET ground-based measurements over eastern…

2017

Abstract. Variations in the optical properties of aerosols and their radiative forcing were investigated based on long-term synchronous observations made at three-minute intervals from 2011 to 2015 over seven adjacent CARSNET (China Aerosol Remote Sensing NETwork) urban (Hangzhou), suburban (Xiaoshan, Fuyang, LinAn, Tonglu, Jiande) and rural (ChunAn) stations in the Yangtze River Delta region, eastern China. The aerosol optical depth (AOD) varied from 0.68 to 0.76, with two peaks in June and September, and decreased from the eastern coast to western inland areas. The ratio of the AOD of fine-mode particles to the total AOD was > 0.90 and the extinction Angström exponent was > 1.20 thr…

DeltaAtmosphereAngstrom exponentMeteorologyExtinction (optical mineralogy)Environmental scienceModerate-resolution imaging spectroradiometerAlbedoRadiative forcingAtmospheric sciencesAerosol
researchProduct

High-field nuclear spin relaxation in liquids and solids

1990

The authors generalise the standard theory of nuclear spin relaxation to situations in which the Markovian approximation is not applicable. Expressions for generalised frequency-dependent spin relaxation functions are presented. They show that under high-field conditions the relaxation of longitudinal magnetisation is exponential independent of the particular time dependence of the correlation functions.

Density matrixSpin–spin relaxationMagnetizationCondensed matter physicsChemistrySpin–lattice relaxationEquations of motionRelaxation (physics)Condensed Matter::Strongly Correlated ElectronsGeneral Materials ScienceCondensed Matter PhysicsCole–Cole equationExponential functionJournal of Physics: Condensed Matter
researchProduct

Combined proton NMR wideline and NMR relaxometry to study SOM-water interactions of cation-treated soils

2013

Abstract Focusing on the idea that multivalent cations affect SOM matrix and surface, we treated peat and soil samples by solutions of NaCl, CaCl2 or AlCl3. Water binding was characterized with low field 1H-NMR-relaxometry (20 MHz) and 1H wideline NMR spectroscopy (400 MHz) and compared to contact angles. From 1H wideline, we distinguished mobile water and water involved in water molecule bridges (WaMB). Large part of cation bridges (CaB) between SOM functional groups are associated with WaMB. Unexpectedly, 1H NMRrelaxometry relaxation rates suggest that cross-linking in the Al-containing peat is not stronger than that by Ca. The relation between percentage of mobile water and WaMB water in…

Dewey Decimal Classification::500 | Naturwissenschaften::550 | GeowissenschaftenDewey Decimal Classification::500 | Naturwissenschaften::570 | Biowissenschaften BiologieDewey Decimal Classification::600 | Technik::630 | Landwirtschaft VeterinärmedizinAnalytical chemistrySoil organic matter (SOM); Low field 1H NMR relaxometry; 1H wideline NMR spectroscopy; Contact angle; Cation bridges; Water molecule bridges.TA Engineering (General). Civil engineering (General)soil organic matter (som)Low field H-1 NMR relaxometrystateContact angleNuclear magnetic resonancewater molecule bridgesddc:550ddc:630natural organic-mattercontact angleWater Science and TechnologyFluid Flow and Transfer Processeschemistry.chemical_classificationhumic substancesWater molecule bridges.Nuclear magnetic resonance spectroscopycation bridgesCation bridgemultiexponential decay datanuclear-magnetic-resonanceH-1 wideline NMR spectroscopyProton NMRWater bindingTC1-978Relaxometryuniform-penalty inversionlow field 1h nmr relaxometrySettore AGR/13 - Chimica AgrariaContext (language use)1h wideline nmr spectroscopyforest soilsCation bridgesddc:570sandy soilOrganic mattercontact-angleContact angleSoil organic matter (SOM)repellencyMechanical EngineeringHydraulic engineeringchemistrySoil waterWater molecule bridgesJournal of Hydrology and Hydromechanics
researchProduct

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
researchProduct

<title>Relaxation processes in amorphous As-S and As-Se films</title>

1997

The relaxation of optical, mechanical and chemical properties of as-evaporated amorphous As-S and As-Se films while storing them at room temperature is investigated. The AsxS1-x films with arsenic content 0.3 less than x less than 0.4 are found to undergo maximal changes. It is shown that the phenomenon of dark self-enhancement of holograms (an increase of diffraction efficiency over time without any special treatment) can be used as an efficient method for investigation of relaxation processes in the amorphous chalcogenide films. The changes of diffraction efficiency in amorphous As2S3 films have been measured as a function of aging time and recording light intensity. The relaxation proces…

DiffractionStretched exponential functionMaterials scienceCondensed matter physicsbusiness.industryChalcogenideRelaxation (NMR)Amorphous solidchemistry.chemical_compoundLight intensitySemiconductorOpticschemistryStress relaxationbusinessSPIE Proceedings
researchProduct

Damage and plasticity at the interfaces in composite materials and structures

2009

Abstract The structural behavior at the interface between two surfaces of ductile, brittle or quasi-brittle materials is studied by a new analytical elastoplastic damaging model. The model is developed in the framework of a thermodynamically consistent theory. The Helmholtz free energy is written to predict the materials’ hardening or softening. An isotropic damage is considered and the possible effects of dilatancy are taken into account including non-associative flow rules. The interface laws are presented both in a rate and a discrete incremental form. The analytical formulation is then implemented into a finite element code and two structural members are studied to validate the model. T…

DilatantMaterials sciencebusiness.industryMechanical EngineeringIsotropyComputational MechanicsGeneral Physics and AstronomyStructural engineeringPlasticityStrain hardening exponentFinite element methodComputer Science Applicationssymbols.namesakeBrittlenessinterface damage plasticity coupling biphaseMechanics of MaterialsHelmholtz free energyHardening (metallurgy)symbolsSettore ICAR/08 - Scienza Delle CostruzionibusinessComputer Methods in Applied Mechanics and Engineering
researchProduct

Three solutions to mixed boundary value problem driven by p(z)-Laplace operator

2021

We prove the existence of at least three weak solutions to a mixed Dirichlet–Neumann boundary value problem for equations driven by the p(z)-Laplace operator in the principal part. Our approach is variational and use three critical points theorems.

Dirichlet–Neumann boundary value problemSettore MAT/05 - Analisi MatematicaGeneral MathematicsMathematical analysisp(z)-Laplace operatorBoundary value problemvariable exponent Sobolev spaceLaplace operatorMathematics
researchProduct

A smallest irregular oriented graph containing a given diregular one

2004

AbstractA digraph is called irregular if its vertices have mutually distinct ordered pairs of semi-degrees. Let D be any diregular oriented graph (without loops or 2-dicycles). A smallest irregular oriented graph F, F=F(D), is constructed such that F includes D as an induced subdigraph, the smallest digraph being one with smallest possible order and with smallest possible size. If the digraph D is arcless then V(D) is an independent set of F(D) comprising almost all vertices of F(D) as |V(D)|→∞. The number of irregular oriented graphs is proved to be superexponential in their order. We could not show that almost all oriented graphs are/are not irregular.

Discrete mathematicsAlmost all verticesIrregularizationDigraphDirected graphSuperexponential cardinalityGraphTheoretical Computer ScienceCombinatoricsIndependent setOrdered pairDiscrete Mathematics and CombinatoricsDiregular digraphOriented graphMathematicsDiscrete Mathematics
researchProduct

An integral for a banach valued function

2009

Abstract Using partitions of the unity ((PU)-partition), a new definition of an integral is given for a function f : [a, b] → X, where X is a Banach space, and it is proved that this integral is equivalent to the Bochner integral.

Discrete mathematicsBanach valued function (PU)-partition (PU)*-integral Bochner-integralGeneral MathematicsInfinite-dimensional vector functionBochner integralRiemann–Stieltjes integralRiemann integralBochner spaceExponential integralsymbols.namesakeSettore MAT/05 - Analisi MatematicasymbolsPaley–Wiener integralDaniell integralMathematicsTatra Mountains Mathematical Publications
researchProduct