Search results for "dam"

showing 10 items of 3828 documents

New spaces of matrices with operator entries

2019

In this paper, we will consider matrices with entries in the space of operators $\mathcal{B}(H)$, where $H$ is a separable Hilbert space and consider the class of matrices that can be approached in the operator norm by matrices with a finite number of diagonals. We will use the Schur product with Toeplitz matrices generated by summability kernels to describe such a class and show that in the case of Toeplitz matrices it can be identified with the space of continuous functions with values in $\mathcal B(H)$. We shall also introduce matriceal versions with operator entries of classical spaces of holomorphic functions such as $H^\infty(\mathbb{D})$ and $A(\mathbb{D})$ when dealing with upper t…

Discrete mathematicsClass (set theory)010102 general mathematics010103 numerical & computational mathematicsSpace (mathematics)01 natural sciencesToeplitz matrixFunctional Analysis (math.FA)Mathematics - Functional AnalysisMathematics (miscellaneous)Operator (computer programming)FOS: Mathematics47L10 46E40 (Primary) 47A56 15B05 46G10 (Secondary)Hadamard product0101 mathematicsVector-valued functionComputer Science::DatabasesSeparable hilbert spaceMathematicsSchur multiplier
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A-Codes from Rational Functions over Galois Rings

2006

In this paper, we describe authentication codes via (generalized) Gray images of suitable codes over Galois rings. Exponential sums over these rings help determine--or bound--the parameters of such codes.

Discrete mathematicsMathematics::Commutative AlgebraApplied MathematicsFundamental theorem of Galois theoryGalois groupRational functionExponential polynomialComputer Science ApplicationsEmbedding problemDifferential Galois theorysymbols.namesakeGalois rings Gray map codesComputer Science::Computer Vision and Pattern RecognitionComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONComputer Science::MultimediasymbolsSettore MAT/03 - GeometriaGalois extensionResolventMathematicsDesigns, Codes and Cryptography
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Hurwitz spaces of Galois coverings of P1, whose Galois groups are Weyl groups

2006

Abstract We prove the irreducibility of the Hurwitz spaces which parametrize equivalence classes of Galois coverings of P 1 , whose Galois group is an arbitrary Weyl group, and the local monodromies are reflections. This generalizes a classical theorem due to Luroth, Clebsch and Hurwitz.

Discrete mathematicsPure mathematicsAlgebra and Number TheoryGalois cohomologyMathematics::Number TheoryFundamental theorem of Galois theoryGalois groupGalois moduleDifferential Galois theoryEmbedding problemsymbols.namesakeMathematics::Algebraic GeometryHurwitz's automorphisms theoremsymbolsGalois extensionMathematicsJournal of Algebra
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Irreducible Finitary Lie Algebras over Fields of Characteristic Zero

1998

Abstract A Lie subalgebraLof g l K (V) is said to befinitaryif it consists of elements of finite rank. We show that if Char  K  = 0, if dim K  Vis infinite, and ifLacts irreducibly onV, then the derived algebra ofLis simple.

Discrete mathematicsPure mathematicsAlgebra and Number TheorySimple Lie groupNon-associative algebraFundamental representation(gK)-moduleKilling formAffine Lie algebraMathematicsLie conformal algebraGraded Lie algebraJournal of Algebra
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Linear invariants of Riemannian almost product manifolds

1982

Using the decomposition of a certain vector space under the action of the structure group of Riemannian almost product manifolds, A. M. Naveira (9) has found thirty-six distinguished classes of these manifolds. In this article, we prove that this decomposition is irreducible by computing a basis of the space of invariant quadratic forms on such a space.

Discrete mathematicsPure mathematicsCurvature of Riemannian manifoldsGeneral MathematicsLinear invariantsFundamental theorem of Riemannian geometryRiemannian geometryManifoldsymbols.namesakeRicci-flat manifoldProduct (mathematics)symbolsDifferential topologyMathematics::Differential GeometryMathematicsMathematical Proceedings of the Cambridge Philosophical Society
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The parameterized local deduction theorem for quasivarieties of algebras and its application

1996

Let τ be an algebraic type. To each classK of τ-algebras a consequence relation ⊧ K defined on the set of τ-equations is assigned. Some weak forms of the deduction theorem for ⊧ K and their algebraic counterparts are investigated. The (relative) congruence extension property (CEP) and its variants are discussed.CEP is shown to be equivalent to a parameter-free form of the deduction theorem for the consequence ⊧ K .CEP has a strong impact on the structure ofK: for many quasivarietiesK,CEP implies thatK is actually a variety. This phenomenon is thoroughly discussed in Section 5. We also discuss first-order definability of relative principal congruences. This property is equivalent to the fact…

Discrete mathematicsPure mathematicsDeduction theoremAlgebra and Number TheoryFundamental theoremQuasivarietyNo-go theoremStructure (category theory)Congruence relationVariety (universal algebra)Finite setMathematicsAlgebra Universalis
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An unsupervised Learning Algorithm for Fatigue Crack Detection in Waveguides

2009

Ultrasonic guided waves (UGWs) are a useful tool in structural health monitoring (SHM) applications that can benefit from built-in transduction, moderately large inspection ranges, and high sensitivity to small flaws. This paper describes an SHM method based on UGWs and outlier analysis devoted to the detection and quantification of fatigue cracks in structural waveguides. The method combines the advantages of UGWs with the outcomes of the discrete wavelet transform (DWT) to extract defect-sensitive features aimed at performing a multivariate diagnosis of damage. In particular, the DWT is exploited to generate a set of relevant wavelet coefficients to construct a uni-dimensional or multi-di…

Discrete wavelet transformEngineeringGuided wave testingultrasonic guided wave damage index steel control ndt crackbusiness.industryAcousticsCondensed Matter PhysicsNovelty detectionAtomic and Molecular Physics and OpticsWaveletMechanics of MaterialsNondestructive testingSignal ProcessingOutlierForensic engineeringGeneral Materials ScienceUltrasonic sensorStructural health monitoringElectrical and Electronic EngineeringbusinessSettore ICAR/08 - Scienza Delle CostruzioniCivil and Structural Engineering
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Digital signal processing for rail monitoring by means of ultrasonic guided waves

2007

Recent train accidents have reaffirmed the need for developing rail defect detection systems that are more effective than those used today. One of the recent developments in rail inspection is the use of ultrasonic guided waves (UGWs) and non-contact probing techniques to target transverse-type defects. Besides the obvious advantages of non-contact probing, that include robustness and a potential for large inspection speed, such a system can theoretically detect transverse defects under horizontal shelling or head checks. This paper demonstrates the effectiveness of digital signal processing to enhance the damage detection sensitivity of the non-contact system. The method proposed here comb…

Discrete wavelet transformSignal processingEngineeringGuided wave testingbusiness.industryMechanical EngineeringMetals and AlloysWaveletRail inspection Discrete Wavelet Transform Damage Index Laser Ultrasonics Air-coupled Ultrasonic Sensors.Mechanics of MaterialsRobustness (computer science)Rail inspectionMaterials ChemistryElectronic engineeringUltrasonic sensorSettore ICAR/08 - Scienza Delle CostruzionibusinessTelecommunicationsDigital signal processingInsight - Non-Destructive Testing and Condition Monitoring
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A meshfree method for transverse vibrations of anisotropic plates

2003

A meshfree approach, called displacement boundary method, for anisotropic Kirchhoff plate dynamic analysis is presented. This method is deduced from a variational principle, which uses a modified hybrid functional involving the generalized displacements and generalized tractions on the boundary and the lateral deflection in the domain as independent variables. The discretization process is based on the employment of the fundamental solutions of the static problem operator for the expression of the variables involved in the functional. The stiffness and mass matrices obtained for the dynamic model are frequency-independent, symmetric and positive definite and their computation involves bound…

DiscretizationApplied MathematicsMechanical EngineeringOperator (physics)ComputationMathematical analysisBoundary (topology)StiffnessGeometryCondensed Matter PhysicsDisplacement (vector)Mechanics of MaterialsVariational principleModeling and SimulationmedicineMethod of fundamental solutionsGeneral Materials Sciencemedicine.symptomMathematicsInternational Journal of Solids and Structures
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A Boundary/Interior Element Discretization Method for the Analysis of Two- and Three-Dimensional Elastic-Plastic Structures

1992

A coupled boundary/interior element method is presented for the analysis of elastic-plastic structures with material models endowed of dual internal variables. The domain field modelling is limited to the only plastic strains and strain-like internal variables, represented by their node values at a set of strain points in each interior element. The formulation, based on a Galerkin-type approach, is variationally consistent and leads to a fully symmetric-definite equation system. The backward difference method is adopted for the step-by-step integration procedure, and each step is addressed by an iterative predictor/corrector solution scheme. The analysis method is expected to be most approp…

DiscretizationMathematical analysisAnalytic element methodBoundary (topology)Method of fundamental solutionsBoundary knot methodSingular boundary methodBoundary element methodDomain (mathematical analysis)Mathematics
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