Search results for "algebra"

showing 10 items of 4129 documents

Extremal polynomials in stratified groups

2018

We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal subriemannian geodesics in stratified nilpotent Lie groups. They satisfy a set of remarkable structure relations that are used to integrate the adjoint equations.

Statistics and Probabilityextremal polynomialsMathematics - Differential GeometryPure mathematicsGeodesicStructure (category theory)Group Theory (math.GR)Characterization (mathematics)algebra01 natural sciencesdifferentiaaligeometriaMathematics - Analysis of PDEsMathematics - Metric Geometry53C17FOS: Mathematics0101 mathematicsAlgebraic numberMathematics - Differential Geometry; Mathematics - Differential Geometry; Mathematics - Analysis of PDEs; Mathematics - Group Theory; Mathematics - Metric Geometry; Mathematics - Optimization and Control; 53C17; 49K30; 17B70Mathematics - Optimization and ControlMathematics010102 general mathematicsStatisticsta111polynomitProlongation53C17 49K30 17B70Lie groupMetric Geometry (math.MG)abnormal extremals010101 applied mathematicsNilpotent Lie algebraNilpotentsub-Riemannian geometryabnormal extremals extremal polynomials Carnot groups sub-Riemannian geometryAbnormal extremals; Carnot groups; Extremal polynomials; Sub-Riemannian geometry; Analysis; Statistics and Probability; Geometry and Topology; Statistics Probability and UncertaintyDifferential Geometry (math.DG)Optimization and Control (math.OC)Carnot groups17B70Probability and UncertaintyGeometry and TopologyStatistics Probability and UncertaintyMathematics - Group TheoryAnalysisAnalysis of PDEs (math.AP)Mathematics - Differential Geometry; Mathematics - Differential Geometry; Mathematics - Analysis of PDEs; Mathematics - Group Theory; Mathematics - Metric Geometry; Mathematics - Optimization and Control; 53C17 49K30 17B7049K30
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Efficient change point detection in genomic sequences of continuous measurements

2010

Abstract Motivation: Knowing the exact locations of multiple change points in genomic sequences serves several biological needs, for instance when data represent aCGH profiles and it is of interest to identify possibly damaged genes involved in cancer and other diseases. Only a few of the currently available methods deal explicitly with estimation of the number and location of change points, and moreover these methods may be somewhat vulnerable to deviations of model assumptions usually employed. Results: We present a computationally efficient method to obtain estimates of the number and location of the change points. The method is based on a simple transformation of data and it provides re…

Statistics and Probabilitymodel selectionBreast Neoplasmscomputer.software_genreBiochemistryCell LineSimple (abstract algebra)Cell Line TumorHumansComputer Simulationpiecewise constant modelMolecular BiologyMathematicsOligonucleotide Array Sequence AnalysisSupplementary dataComparative Genomic HybridizationModels StatisticalSeries (mathematics)Model selectionGenomicsComputer Science ApplicationsComputational MathematicsR packageTransformation (function)Computational Theory and MathematicsChange pointsChangepointaCGH analysiFemaleData miningSettore SECS-S/01 - StatisticacomputerChange detection
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Residuenanalyse des Unabhängigkeitsmodells Zweier Kategorialer Variablen

1985

For the ‘cellwise’ analysis of independence of two categorial variables, Haberman (1973) proposes the method of ‘adjusted residuals’. Fuchs and Kenett (1980) use (the absolute value of) the maximal adjusted residual as a measure for the deviation from the null hypothesis.

StatisticsIndependence (mathematical logic)Absolute value (algebra)ResidualNull hypothesisMeasure (mathematics)Categorical variableMathematics
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Malliavin calculus of Bismut type without probability

2007

We translate in semigroup theory Bismut's way of the Malliavin calculus.

Statistics::TheoryH-derivativeMathematics::Operator AlgebrasProbability (math.PR)General ChemistryType (model theory)Malliavin calculusMalliavin derivativeMathematics::ProbabilityMathematics::K-Theory and HomologyFOS: MathematicsCalculusMathematics::Differential GeometryMathematics - ProbabilityMathematicsProceedings of the Indian Academy of Sciences - Section A
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Validity of the electroneutrality and goldman constant-field assumptions in describing the diffusion potential for ternary electrolyte systems in sim…

1986

Abstract Three numerical algorithms capable of simulating transport processes through simple, porous membranes in the steady state have been employed in order to study the change in the diffusion potential with the membrane thickness and the ionic concentrations for the ternary systems NaClHClH20 and CaCI2NaC1H 2 O. The first simulation procedure uses Poisson's equation, the two others replace this equation by the electroneutrality and Goldman constant-field approximations respectively. From the results presented here, conditions for the applicability of the electroneutrality and constantfield assumption to ternary electrolyte systems are given.

Steady stateChemistryInorganic chemistryIonic bondingThermodynamicsFiltration and SeparationElectrolyteBiochemistryMembraneSimple (abstract algebra)Porous membraneGeneral Materials SciencePhysical and Theoretical ChemistryDiffusion (business)Ternary operationJournal of Membrane Science
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On the optimization of the first wall of the DEMO water-cooled lithium lead outboard breeding blanket equatorial module

2016

Abstract Within the framework of EUROfusion R&D activities a research campaign has been carried out at the University of Palermo in order to investigate the thermo-mechanical performances of the DEMO water-cooled lithium lead (WCLL) breeding blanket first wall (FW). The research campaign has been mainly focused on the optimization of the FW geometric configuration in order to maximize the heat flux it may safely withstand fulfilling all the thermal, hydraulic and mechanical requirements foreseen by safety codes. Attention has been focused on the FW flat concept endowed with square cooling channels and the potential influence of its four main geometrical parameters on its thermo-mechanical p…

Steady stateComputer scienceMechanical EngineeringNuclear engineeringchemistry.chemical_elementBlanket01 natural sciences7. Clean energyFinite element methodSquare (algebra)010305 fluids & plasmasDEMO reactor WCLL blanket First wallNuclear Energy and EngineeringHeat fluxchemistry0103 physical sciencesThermalGeneral Materials ScienceLithium010306 general physicsLead (electronics)Settore ING-IND/19 - Impianti NucleariCivil and Structural Engineering
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An algebraic representation of Steiner triple systems of order 13

2021

Abstract In this paper we construct an incidence structure isomorphic to a Steiner triple system of order 13 by defining a set B of twentysix vectors in the 13-dimensional vector space V = GF ( 5 ) 13 , with the property that there exist precisely thirteen 6-subsets of B whose elements sum up to zero in V , which can also be characterized as the intersections of B with thirteen linear hyperplanes of V .

Steiner triple systemZero (complex analysis)Steiner triple system STS Additive block designSTSCombinatoricsSet (abstract data type)Steiner systemIncidence structureHyperplaneSettore MAT/05 - Analisi MatematicaAlgebra representationQA1-939Order (group theory)Settore MAT/03 - GeometriaMathematicsVector spaceMathematicsAdditive block designExamples and Counterexamples
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Starting Easy: FFR in a High-Grade Stenosis

2016

A simple representative case of FFR in a high-grade stenosis. The gradient is confirmed by pushing the sensor forward. Equalization is confirmed at the end of the procedure.

StenosisComputer scienceSimple (abstract algebra)Equalization (audio)medicinemedicine.diseaseAlgorithm
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A new method for linear affine self-calibration of stationary zooming stereo cameras

2012

This paper presents a simple, yet effective, method to recover the affine structure of a scene from a (stereo) pair of stationary zooming cameras. The proposed method solely relies on point correspondences across images and no knowledge about the scene whatsoever is required. Our method exploits implicit properties of the projective camera matrices of zooming cameras and allows to estimate the affine structure of a scene by solving a linear system of equations. The 3D reconstruction results obtained by using our method, on both real and simulated data, have remarkably validated its feasibility.

Stereo camerasbusiness.industry3D reconstructionComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONIterative reconstructionAffine shape adaptationComputer Science::GraphicsComputer Science::Computer Vision and Pattern RecognitionLinear algebraComputer visionAffine transformationArtificial intelligenceZoombusinessStereo cameraComputingMethodologies_COMPUTERGRAPHICSMathematics2012 19th IEEE International Conference on Image Processing
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DFT broken-symmetry exchange couplings calculation in a 1D chain of bridged iron basic carboxylates

2009

DFT broken-symmetry calculations at the B3LYP level were carried out to evaluate the exchange coupling constants defined by the Heisenberg-Dirac-van Vleck spin Hamiltonian (HDvV), Ĥ = -2JŜaŜb, in a 1D chain of iron basic carboxylate cores [Fe3O(Piv)6(H2O)] bridged by dicyanamide, and two related trinuclear Fe3O moieties. The chain complex was modeled as two Fe3O units that preserve all features of the repetitive unit in the infinite real system. All geometries were taken from the crystallographic data previously reported. The obtained calculated values for the J constants are in good agreement with experimental results. The weak anti-ferromagnetic inter-Fe3O core interaction along the chain…

StereochemistryChemistryCiencias QuímicasBROKEN-SYMMETRYMAGNETIC PROPERTIESQuímica Inorgánica y NuclearInorganic ChemistryCrystallographyBASIC CARBOXYLATEChain (algebraic topology)EXCHANGE COUPLINGMaterials ChemistryDensity functional theoryDENSITY FUNCTIONAL THEORYSymmetry breakingPhysical and Theoretical ChemistryCIENCIAS NATURALES Y EXACTASPolyhedron
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