Search results for "rete"

showing 10 items of 3470 documents

Probabilistic interpretation of the Calderón problem

2017

In this paper, we use the theory of symmetric Dirichlet forms to give a probabilistic interpretation of Calderon's inverse conductivity problem in terms of reflecting diffusion processes and their corresponding boundary trace processes. This probabilistic interpretation comes in three equivalent formulations which open up novel perspectives on the classical question of unique determinability of conductivities from boundary data. We aim to make this work accessible to both readers with a background in stochastic process theory as well as researchers working on deterministic methods in inverse problems.

Control and OptimizationStochastic processComputer science010102 general mathematicsProbabilistic logicBoundary (topology)Inverse problem01 natural sciencesDirichlet distributionInterpretation (model theory)010104 statistics & probabilitysymbols.namesakeModeling and SimulationNeumann boundary conditionsymbolsDiscrete Mathematics and CombinatoricsApplied mathematics0101 mathematicsAnalysisTRACE (psycholinguistics)Inverse Problems & Imaging
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Discrete-time static output-feedback H<inf>∞</inf> controller design for vehicle suspensions

2014

This paper provides a direct and practical presentation of a novel methodology for static output-feedback controller design. The proposed design strategy has been successfully applied in the fields of control systems for seismic protection of large buildings and multi-building structures, control of offshore wind turbines, and active control of vehicle suspensions. The positive results obtained in these initial applications clearly indicate that this approach could be an effective tool in a large variety of control problems, for which an LMI formulation of the statefeedback version of the problem is available. The main objective of the paper is to facilitate a brief and friendly presentatio…

Controller designEngineeringOffshore wind powerDiscrete time and continuous timeControl theorybusiness.industryControl systemSymmetric matrixControl engineeringDesign strategybusinessDesign methods2014 International Conference on Mechatronics and Control (ICMC)
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Quasilinear Dirichlet Problems with Degenerated p-Laplacian and Convection Term

2021

The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p-Laplacian and containing a convection term. The presence of the degenerated operator forces a substantial change to the functional setting of previous works. The existence and location of solutions through a sub-supersolution is established. The abstract result is applied to find nontrivial, nonnegative and bounded solutions.

Convectionsub-supersolutionGeneral MathematicsOperator (physics)quasilinear elliptic problemlcsh:MathematicsMathematical analysisMathematics::Analysis of PDEsnonnegative solutionlcsh:QA1-939Dirichlet distributionTerm (time)symbols.namesakedegenereted p-LaplacianSettore MAT/05 - Analisi MatematicaBounded functionComputer Science (miscellaneous)p-Laplaciansymbolsconvection termEngineering (miscellaneous)MathematicsMathematics
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A regular non-weakly discretely generated $$P$$-space

2022

We construct a consistent example of a topological space Y= X∪ { ∞} such that: (1) Y is regular. (2) Every Gδ subset of Y is open. (3) The point ∞ is not isolated, but it is not in the closure of any discrete subset of X.

Convergence propertyGeneral Mathematicsdiscretely generatedP-spaceActa Mathematica Hungarica
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A four vertex theorem for strictly convex space curves

1993

Convex analysisDiscrete mathematicsConvex hullConvex setSpace curfFour-vertex theoremVertex theoremKrein–Milman theoremConvex spaceStrictly convex spaceVertex (curve)Danskin's theoremGeometry and TopologyMathematics
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Locally Convex Quasi *-Algebras of Operators

2011

This note is mainly concerned with locally convex quasi C*-normed *-algebras which arise as completions of C*-algebras of operators under certain topologies. Their importance is made clear by the representation theory of abstract locally convex quasi C*-normed *-algebras, investigated in previous papers and whose basic aspects are also overviewed here.

Convex analysisDiscrete mathematicsQuasi *-algebrasPure mathematicsApplied MathematicsRegular polygonSubderivativeOperator theoryNetwork topologyRepresentation theoryComputational MathematicsComputational Theory and MathematicsSettore MAT/05 - Analisi MatematicaOperatorMathematicsComplex Analysis and Operator Theory
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On dependence of sets of functions on the mean value of their elements

2009

The paper considers, for a given closed bounded set M ⊂ R m and K = (0,1) n ⊂ R n , the set M = {h ϵ L2 (K;R m ) | h(x) ϵ M a.e.x ϵ K} and its subsets It is shown that, if a sequence {hk } ⊂ coM converges to an element hk ϵ M(hk ) there is h‘k ϵ M(ho ) such that h'k - hk → 0 as k → ∞ . If, in addition, the set M is finite or M is the convex hull of a finite set of elements, then the multivalued mapping h → M(h) is lower semicontinuous on coM. First published online: 14 Oct 2010

Convex hullDiscrete mathematicsSequenceBounded setMean valuemultivalued mappingsubsets of functions with fixed mean valueModeling and Simulationcontinuous dependenceQA1-939Element (category theory)Finite setAnalysisMathematicsMathematicsMathematical Modelling and Analysis
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R Code for Hausdorff and Simplex Dispersion Orderings in the 2D Case

2010

This paper proposes a software implementation using R of the Hausdorff and simplex dispersion orderings. A copy can be downloaded from http://www.uv.es/~ayala/software/fun-disp.R . The paper provides some examples using the functions exactHausdorff for the Hausdorff dispersion ordering and the function simplex for the simplex dispersion orderings. Some auxiliary functions are commented too.

Convex hullDiscrete mathematicsSimplexMultivariate random variableMathematicsofComputing_NUMERICALANALYSISHausdorff spaceAuxiliary functionFunction (mathematics)CombinatoricsTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYMathematics::Metric GeometryHausdorff measureStatistical dispersionMathematics
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Weak convergence theorems for asymptotically nonexpansive mappings and semigroups

2001

Convex hullDiscrete mathematicsWeak convergenceSemigroupApplied MathematicsBanach spaceErgodic theoryFixed-point theoremUniformly convex spaceFixed pointAnalysisMathematicsNonlinear Analysis: Theory, Methods & Applications
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The project scheduling polyhedron: Dimension, facets and lifting theorems

1993

Abstract The Project scheduling with resource constraints can be formulated as follows: given a graph G with node set N, a set H of directed arcs corresponding to precedence relations, and a set H′ of disjunctive arcs reflecting the resource incompatibilities, find among the subsets of H′ satisfying the resource constraints the set S that minimizes the longest path in graph (N, H ∪ S). We define the project scheduling polyhedron Qs as the convex hull of the feasible solutions. We investigate several classes of inequalities with respect to their facet-defining properties for the associated polyhedron. The dimension of Qs is calculated and several inequalities are shown to define facets. For …

Convex hullDiscrete mathematicsmedicine.medical_specialtyInformation Systems and ManagementGeneral Computer SciencePolyhedral combinatoricsDimension (graph theory)Graph theoryManagement Science and Operations ResearchIndustrial and Manufacturing EngineeringLongest path problemCombinatoricsPolyhedronRectificationModeling and SimulationmedicineGraph (abstract data type)MathematicsEuropean Journal of Operational Research
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