Advances in mathematics research. Vol. 17 /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Baswell, Albert R.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Nova Science Publishers, Inc., Ã2012.
Temas:
Mathematics > Research.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
Mathematics > Research
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; ADVANCES IN MATHEMATICS RESEARCH VOLUME 17 ; Contents; Preface; NONLINEAR EVOLUTION EQUATIONS IN VIEW OF THE EXP-FUNCTION METHOD AND ITS GENERALIZATION; Abstract; 1. Introduction; 2. TheExp-FunctionMethod; 3. Applications; 3.1. NonlinearKdVEquation; 3.2. Burgers'Equation; 3.3. TheCombinedKdV-mKdVEquation; 3.4. GeneralizedKlein-GordonEquation; 4. EvolutionEquationswithNonlinearTermsofAnyOrders; 4.1. MethodofSolution; 4.2. ExactSolutionsforGeneralizedBurgersEquationwithVariableCoefficients; 4.3. ExactSolutionsforGeneralizedKdVEquationwithVariableCoefficients.
  • 5. The -FunctionMethod5.1. ApplicationtoBurgersEquation; 5.2. GeneralFormulaforthe -FunctionMethod; 5.3. ApplicationtoNanoBoundaryLayerProblems; 5.3.1. GeneralExactSolutionsvia -FunctionMethod; 5.3.2. ExactSolutionsSatisfytheBoundaryConditions; 6. Conclusion; References; CATEGORICAL ABSTRACT ALGEBRAIC LOGIC: GENERALIZED TARSKI CONGRUENCE SYSTEMS; Abstract; 1. Introduction; 2. SententialLogicsand -Institutions; 3. CategoryCongruences; 4. EquivalenceSystems; 5. CongruenceSystems; 6. LogicalandTarskiCongruenceSystems; 7. DiscussionandOpenProblems; Acknowledgements; References.
  • PARALLELIZATION OF NEURAL NETWORK BUILDING AND TRAINING: AN ORIGINAL DECOMPOSITION METHODAbstract; 1. NeuralNetworkDescription; 1.1. Topology; 1.2. IncrementalLearningApproaches; 1.2.1. ClassicalAlgorithms; 1.2.2. CascadeCorrelation; 1.2.3. AlgorithmProposedbyDunkinetal.; 1.3. DesignofaNewIncrementalLearningAlgorithm; 1.3.1.NetworkTopology; 1.3.2. LearningandHiddenLayerBuildingTogether; 2. DecompositionMethod; 2.1. QuantificationoftheComplexityofaLearningDomain; 2.2. TheURBDecompositionMethod; 2.3. OverlappingbetweenSub-domains; 2.4. WorkontheDataset:ExtractionofaRepresentativeSetfromMassiveData.
  • 3. ValidationoftheTrainingProcess3.1. TheParallelEnvironment; 3.2. ASimpleCase; 3.3. ARealWorldApplication:TheRadiotherapyContext; 3.3.1. RadiotherapyContext:DatasetBuilding; 3.3.2. ValidationProcess; 4. PerformanceEnhancementoftheNeuralNetworkExploitation; 4.1. AcceleratingtheDoseDepositEvaluations; 4.2. Results; 5. Conclusion; References; OVER-DETERMINED BOUNDARY VALUE PROBLEMS FOR LINEAR EQUATIONS OF ELASTODYNAMICS AND THEIR APPLICATIONS TO ELASTIC WAVE DIFFRACTION THEORY; Abstract; 1. Introduction; 2. AxiomaticBasisofDynamicElasticityTheory; 3. TheOver-DeterminedCauchyProblemintheSemi-Plane.
  • 4. TheOver-DeterminedCauchyProbleminSemi-Space5. TheBasicBoundaryValueProblemsinSemi-SpaceandinSemi-Plane; 6. DefectsontheBoundaryofElasticSemi-Plane; 7. TwoElasticBodies. TheJumpProblem; 8. TheDiffractionofElasticWaveontheCrack; References; TWO FINITE ELEMENT METHODS FOR NEARLY INCOMPRESSIBLE LINEAR ELASTICITY USING SIMPLICIAL MESHES; Abstract; 1. Introduction; 2. TheBoundaryValueProblemofLinearElasticity; 2.1. StandardWeakFormulation; 2.2. MixedFormulation; 3. FiniteElementDiscretizationoftheNon-SymmetricSystem; 4. SymmetricApproachBasedonaThree-FieldFormulation.

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