Search results for "Maxim"

showing 10 items of 1236 documents

On nilpotent Moufang loops with central associators

2007

Abstract In this paper, we investigate Moufang p-loops of nilpotency class at least three for p > 3 . The smallest examples have order p 5 and satisfy the following properties: (1) They are of maximal nilpotency class, (2) their associators lie in the center, and (3) they can be constructed using a general form of the semidirect product of a cyclic group and a group of maximal class. We present some results concerning loops with these properties. As an application, we classify proper Moufang loops of order p 5 , p > 3 , and collect information on their multiplication groups.

Discrete mathematicsPure mathematicsSemidirect productAlgebra and Number TheoryLoops of maximal classGroup (mathematics)Moufang loopsMathematics::Rings and AlgebrasLoops of maximal claCyclic groupCenter (group theory)Nilpotent loopsSemidirect product of loopsNilpotent loopNilpotentMathematics::Group TheorySettore MAT/02 - AlgebraOrder (group theory)MultiplicationNilpotent groupMoufang loopMathematics
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Maximal regularity for Kolmogorov operators in L2 spaces with respect to invariant measures

2006

Abstract We prove an optimal embedding result for the domains of Kolmogorov (or degenerate hypoelliptic Ornstein–Uhlenbeck) operators in L 2 spaces with respect to invariant measures. We use an interpolation method together with optimal L 2 estimates for the space derivatives of T ( t ) f near t = 0 , where T ( t ) is the Ornstein–Uhlenbeck semigroup and f is any function in L 2 .

Discrete mathematicsPure mathematicsSemigroupApplied MathematicsGeneral MathematicsDegenerate energy levelsInvariant measureMathematics::ProbabilityDegenerate Ornstein–Uhlenbeck operatorHypoellipticityHypoelliptic operatorEmbeddingMaximal regularityInvariant (mathematics)MathematicsJournal de Mathématiques Pures et Appliquées
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Restriction of odd degree characters and natural correspondences

2016

Let $q$ be an odd prime power, $n > 1$, and let $P$ denote a maximal parabolic subgroup of $GL_n(q)$ with Levi subgroup $GL_{n-1}(q) \times GL_1(q)$. We restrict the odd-degree irreducible characters of $GL_n(q)$ to $P$ to discover a natural correspondence of characters, both for $GL_n(q)$ and $SL_n(q)$. A similar result is established for certain finite groups with self-normalizing Sylow $p$-subgroups. We also construct a canonical bijection between the odd-degree irreducible characters of $S_n$ and those of $M$, where $M$ is any maximal subgroup of $S_n$ of odd index; as well as between the odd-degree irreducible characters of $G = GL_n(q)$ or $GU_n(q)$ with $q$ odd and those of $N_{G}…

Discrete mathematicsRational numberGeneral Mathematics010102 general mathematicsSylow theoremsGroup Theory (math.GR)Absolute Galois group01 natural sciencesCombinatoricsMaximal subgroupMathematics::Group TheoryCharacter (mathematics)0103 physical sciencesFOS: MathematicsBijection010307 mathematical physicsRepresentation Theory (math.RT)0101 mathematicsBijection injection and surjectionMathematics::Representation TheoryPrime powerMathematics - Group TheoryMathematics - Representation TheoryMathematics
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On the continuity of discrete maximal operators in Sobolev spaces

2014

We investigate the continuity of discrete maximal operators in Sobolev space W 1;p (R n ). A counterexample is given as well as it is shown that the continuity follows under certain sucient assumptions. Especially, our research verifies that for the continuity in Sobolev spaces the role of the partition of the unity used in the construction of the maximal operator is very delicate.

Discrete mathematicsSobolev spaceGeneral Mathematicsta111Maximal operatorPartition (number theory)Modulus of continuityCounterexampleSobolev inequalitySobolev spaces for planar domainsMathematicsAnnales Academiae Scientiarum Fennicae Mathematica
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Weighted norm inequalities in a bounded domain by the sparse domination method

2019

AbstractWe prove a local two-weight Poincaré inequality for cubes using the sparse domination method that has been influential in harmonic analysis. The proof involves a localized version of the Fefferman–Stein inequality for the sharp maximal function. By establishing a local-to-global result in a bounded domain satisfying a Boman chain condition, we show a two-weight p-Poincaré inequality in such domains. As an application we show that certain nonnegative supersolutions of the p-Laplace equation and distance weights are p-admissible in a bounded domain, in the sense that they support versions of the p-Poincaré inequality.

Discrete mathematicsosittaisdifferentiaaliyhtälötInequalityGeneral Mathematicsmedia_common.quotation_subject010102 general mathematicsPoincaré inequalityharmoninen analyysi01 natural sciences35A23 (Primary) 42B25 42B37 (Secondary)Harmonic analysis010104 statistics & probabilitysymbols.namesakeMathematics - Analysis of PDEsNorm (mathematics)Bounded functionFOS: MathematicssymbolsMaximal function0101 mathematicsepäyhtälötAnalysis of PDEs (math.AP)Mathematicsmedia_common
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On second maximal subgroups of Sylow subgroups of finite groups

2011

Abstract Finite groups in which the second maximal subgroups of the Sylow p -subgroups, p a fixed prime, cover or avoid the chief factors of some of its chief series are completely classified.

Discrete mathematicsp-groupAlgebra and Number TheoryComputer Science::Neural and Evolutionary ComputationMathematics::History and OverviewSylow theoremsChief seriesPhysics::History of PhysicsPrime (order theory)Physics::Popular PhysicsMathematics::Group TheoryMaximal subgroupLocally finite groupCover (algebra)MathematicsJournal of Pure and Applied Algebra
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Dynamic shakedown of structures with variable appended masses and subjected to repeated excitations

1996

Elastic shakedown for discrete, or finite-element discretized, structures subjected to combinations of static and time-variable loads is addressed in the hypothesis of elastic-perfectly plastic material behavior. The static load is conceived as the weight of an additional mass appended to the structure, whereas the time-variable load is conceived as an unknown sequence of excitations belonging to a specified domain, with intervals between subsequent excitations during which the structure is considered as being motionless. It is shown that, in the plane of the static and time-variable load parameters, the structure's dynamic shakedown domain is nonconvex and that its boundary curve generally…

Discretizationbusiness.industryPlane (geometry)Mechanical EngineeringNumerical analysisStructural engineeringMechanicsDynamic ShakedownDynamic load testingFinite element methodShakedownMaxima and minimaMechanics of MaterialsLimit loadGeneral Materials SciencebusinessMathematics
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Pharmacological distribution diagrams: a tool for de novo drug design.

1996

Abstract Discriminant analysis applied to SAR studies using topological descriptors allows us to plot frequency distribution diagrams: a function of the number of drugs within an interval of values of discriminant function vs. these values. We make use of these representations, pharmacological distribution diagrams (PDDs), in structurally heterogeneous groups where generally they adopt skewed Gaussian shapes or present several maxima. The maxima afford intervals of discrimianant function in which exists a good expectancy to find new active drugs. A set of β-blockers with contrasted activity has been selected to test the ability of PDDs as a visualizing technique, for the identification of n…

Distribution (number theory)GaussianAdrenergic beta-AntagonistsBiophysicsInterval (mathematics)Machine learningcomputer.software_genreBiochemistryPlot (graphics)symbols.namesakeDiscriminant function analysisComputer GraphicsPharmacokineticsMathematicsMolecular Structurebusiness.industryDiscriminant AnalysisPattern recognitionFunction (mathematics)Linear discriminant analysisDrug DesignsymbolsArtificial intelligenceMaximabusinesscomputerHalf-LifeJournal of molecular graphics
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Performance of grid-connected PV system in Southern Norway

2015

This paper presents performance results from one of the first grid-connected photovoltaic (PV) systems in Norway. The 45 kWp system is mounted on top of a flat roof at the headquarters of a local utility company, Agder Energi, in the coastal town of Kristiansand. The system consists mainly of multi-crystalline silicon modules, with one thin film array. The system has been in operation since May 2011 and is instrumented for research and monitoring purposes. Data recorded include global and diffuse horizontal irradiation, tilted irradiation and other weather parameters, PV module temperatures, DC and AC current and voltage for three arrays, in addition to inverter power data and voltage quali…

DowntimeFlat roofbusiness.industryPhotovoltaic systemElectrical engineeringGrid-connected photovoltaic power systemInverterEnvironmental sciencebusinessMaximum power point trackingPower (physics)Voltage2015 IEEE 42nd Photovoltaic Specialist Conference (PVSC)
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One diode circuital model of light soaking phenomena in Dye-Sensitized Solar Cells

2018

Abstract In this work, we report on the modelling of light soaking effect on Ruthenium-based Dye Sensitized Solar cells (DSSCs). Such a phenomenon can be detected when exposing the cells at increasing hours of illumination and produces a reversible performance increase. Starting from the results obtained through the electro-optical characterization of the cells, we applied a one-diode circuital-model. Our results show a good agreement between the experimental and the simulated data, with a mean square error in the order of 10−12 and a maximum error in current lower than 0.6%. Finally such results allowed us to infer some precise trends followed by the cells main electrical parameters and of…

Dye sensitized solar cells (DSSCs)Materials scienceAtomic and Molecular Physics and OpticElectrical modelchemistry.chemical_element02 engineering and technologyElectro-optical characterization010402 general chemistry01 natural sciencesMaximum errorSettore ING-INF/01 - ElettronicaPhotovoltaicsParameters estimationElectrical and Electronic EngineeringDiodebusiness.industryElectronic Optical and Magnetic MaterialLight soaking021001 nanoscience & nanotechnologyAtomic and Molecular Physics and Optics0104 chemical sciencesElectronic Optical and Magnetic MaterialsRutheniumDye-sensitized solar cellchemistrySimulated dataOptoelectronics0210 nano-technologybusinessOne-diode modelPhotovoltaic
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