Search results for "General Mathematics"

showing 10 items of 3795 documents

Unambiguous recognizable two-dimensional languages

2006

We consider the family UREC of unambiguous recognizable two-dimensional languages. We prove that there are recognizable languages that are inherently ambiguous, that is UREC family is a proper subclass of REC family. The result is obtained by showing a necessary condition for unambiguous recognizable languages. Further UREC family coincides with the class of picture languages defined by unambiguous 2OTA and it strictly contains its deterministic counterpart. Some closure and non-closure properties of UREC are presented. Finally we show that it is undecidable whether a given tiling system is unambiguous.

DeterminismSettore INF/01 - InformaticaDeterministic context-free languageGeneral MathematicsTwo-dimensional languagesAutomata and formal languages; Determinism; Two-dimensional languages; UnambiguityComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Class (philosophy)Computer Science ApplicationsUndecidable problemAutomata and Formal Languages. ; Unambiguity ; Determinism. .; Two-dimensional languagesCombinatoricsClosure (mathematics)Computer Science::Programming LanguagesAutomata and formal languagesDeterminism.ArithmeticComputer Science::Formal Languages and Automata TheorySoftwareUnambiguityMathematics
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A note on rank 2 diagonals

2020

<p>We solve two questions regarding spaces with a (G<sub>δ</sub>)-diagonal of rank 2. One is a question of Basile, Bella and Ridderbos about weakly Lindelöf spaces with a G<sub>δ</sub>-diagonal of rank 2 and the other is a question of Arhangel’skii and Bella asking whether every space with a diagonal of rank 2 and cellularity continuum has cardinality at most continuum.</p>

DiagonalCardinal invariantsMathematics::General TopologyWeakly Lindelöflcsh:AnalysisSpace (mathematics)01 natural sciencesCombinatoricsBELLACardinalitydual propertiesCardinality boundsFOS: MathematicsRank (graph theory)Continuum (set theory)0101 mathematicsDual propertiesMathematics - General TopologyMathematicsweakly LindelofGδ- diagonallcsh:Mathematics010102 general mathematicsGeneral Topology (math.GN)neighbourhood assignmentGδ-diagonallcsh:QA299.6-433lcsh:QA1-939gδ-diagonal010101 applied mathematicscardinality boundsMathematics::LogicNeighbourhood assignmentSettore MAT/03 - GeometriaGeometry and Topologyweakly lindelöf
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An activity theory perspective on contradictions in flipped mathematics classrooms at the university level

2019

Author´s accepted manuscript (postprint). This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology on 24/03/2019, available online: http://www.tandfonline.com/10.1080/0020739X.2019.1591533.

DialecticApplied Mathematicsmedia_common.quotation_subject010102 general mathematics05 social sciencesEducational technology050301 educationActivity theory01 natural sciencesFlipped classroomVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410Engineering mathematicsEducationMathematics (miscellaneous)Engineering educationComputingMilieux_COMPUTERSANDEDUCATIONMathematics educationContradiction0101 mathematics0503 educationmedia_commonSocial theory
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Analyzing Stakeholder Diversity in G2G Efforts: Combining Descriptive Stakeholder Theory and Dialectic Process Theory

2008

Author's version of an article published in e-Service Journal, 6 (2), 3-23. Previous research indicates that the benefits of e-government initiatives are slower to realize than initially expected. This has partly been ascribed to the particularly complex settings of e-government projects, consisting of a variety of stakeholders promoting different and often conflicting objectives. Yet few studies have explicitly addressed the inherent challenges of this diversity. This study presents an analytical approach for investigating contradictory stakeholder interests by combining descriptive stakeholder theory and dialectic process theory. Descriptive stakeholder theory is concerned with why some s…

DialecticKnowledge managementManagement sciencebusiness.industryGeneral MathematicsStakeholderInformation technologyVariety (cybernetics)Conflicting objectivesStakeholder analysisSociologybusinessStakeholder theorygovernment-2–government stakeholder theory dialectics municipal cooperation case studyDiversity (business)e-Service Journal
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Positive solutions for a discrete two point nonlinear boundary value problem with p-Laplacian

2017

Abstract In the framework of variational methods, we use a two non-zero critical points theorem to obtain the existence of two positive solutions to Dirichlet boundary value problems for difference equations involving the discrete p -Laplacian operator.

Difference equationDiscrete boundary value problemTwo solution01 natural sciencesElliptic boundary value problemDirichlet distributionCritical point theory; Difference equations; Discrete boundary value problems; p-Laplacian; Positive solutions; Two solutions; Analysis; Applied MathematicsPositive solutionsymbols.namesakePoint (geometry)Boundary value problem0101 mathematicsMathematicsApplied Mathematics010102 general mathematicsMathematical analysisp-LaplacianAnalysiMixed boundary condition010101 applied mathematicssymbolsp-LaplacianCritical point theoryNonlinear boundary value problemLaplace operatorAnalysis
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Indefinite integrals involving Jacobi polynomials from integrating factors

2020

A method was presented recently for deriving integrals of special functions using two kinds of integrating factor for the homogeneous second-order linear differential equations which many special f...

Differential equationApplied Mathematics010102 general mathematics010103 numerical & computational mathematics01 natural sciencesIntegrating factorsymbols.namesakeLinear differential equationHomogeneousSpecial functionssymbolsJacobi polynomialsApplied mathematics0101 mathematicsAnalysisMathematicsIntegral Transforms and Special Functions
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Indefinite integrals of special functions from hybrid equations

2019

Elementary linear first and second order differential equations can always be constructed for twice differentiable functions by explicitly including the function's derivatives in the definition of ...

Differential equationApplied Mathematics010102 general mathematics010103 numerical & computational mathematicsFunction (mathematics)01 natural sciencesLegendre functionSecond order differential equationssymbols.namesakeSpecial functionssymbolsApplied mathematicsDifferentiable function0101 mathematicsComputer Science::DatabasesAnalysisBessel functionMathematicsIntegral Transforms and Special Functions
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Indefinite integrals of Lommel functions from an inhomogeneous Euler–Lagrange method

2015

ABSTRACTA method given recently for deriving indefinite integrals of special functions which satisfy homogeneous second-order linear differential equations has been extended to include functions which obey inhomogeneous equations. The extended method has been applied to derive indefinite integrals for the Lommel functions, which obey an inhomogeneous Bessel equation. The method allows integrals to be derived for the inhomogeneous equation in a manner which closely parallels the homogeneous case, and a number of new Lommel integrals are derived which have well-known Bessel analogues. Results will be presented separately for other special functions which obey inhomogeneous second-order linear…

Differential equationApplied Mathematics010102 general mathematicsMathematical analysis010103 numerical & computational mathematics01 natural sciencessymbols.namesakeLinear differential equationSpecial functionsEuler lagrange methodsymbols0101 mathematicsIncomplete gamma functionAnalysisLinear equationBessel functionLommel functionMathematicsIntegral Transforms and Special Functions
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A generalized integration formula for indefinite integrals of special functions

2020

An integration formula for generating indefinite integrals which was presented in Conway JT [A Lagrangian method for deriving new indefinite integrals of special functions. Integral Transforms Spec...

Differential equationApplied Mathematics010102 general mathematicsMathematicsofComputing_NUMERICALANALYSIS010103 numerical & computational mathematicsIntegral transform01 natural sciencesAlgebraVDP::Teknologi: 500symbols.namesakeTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESSpecial functionsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONsymbols0101 mathematicsAnalysisLagrangianMathematicsIntegral Transforms and Special Functions
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A third integrating factor for indefinite integrals of special functions

2020

An integrating factor f ~ x is presented involving the terms in y ′ ′ x and q x y x of the general homogenous second-order linear ordinary differential equation. The new integrating factors obey se...

Differential equationApplied MathematicsLinear ordinary differential equation010102 general mathematicsMathematical analysis010103 numerical & computational mathematicsParabolic cylinder function01 natural sciencesIntegrating factorVDP::Teknologi: 500Special functions0101 mathematicsAnalysisMathematicsIntegral Transforms and Special Functions
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