Search results for "Arity"

showing 10 items of 2893 documents

Romanian Folk Literature in Our Classes: A Proposal for the Development of Intercultural Competence

2015

Abstract The present research highlights the ways in which folk literature, this valuable tool that contributes to students’ formation from both a human and literary perspective, can promote intercultural competence in class and foster a better integration within the community, while consolidating favorable attitudes towards interculturality. We share Rodriguez Almodovar's view (2009), according to which the folk story makes the geographic space expand; it channels affectivity, while guiding the learning process towards the acceptance of social values that are representative for each culture. The objectives of our study are focused, on the one hand, on improving intercultural competence amo…

Class (computer programming)Intercultural competenceInterculturalityfolk literatureeducational values.RomanianPerspective (graphical)intercultural competenceSpace (commercial competition)Social value orientationslanguage.human_languageSimilarity (psychology)PedagogylanguageGeneral Materials ScienceSociologylanguage learning methodologyProcedia - Social and Behavioral Sciences
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One-Sided Prototype Selection on Class Imbalanced Dissimilarity Matrices

2012

In the dissimilarity representation paradigm, several prototype selection methods have been used to cope with the topic of how to select a small representation set for generating a low-dimensional dissimilarity space. In addition, these methods have also been used to reduce the size of the dissimilarity matrix. However, these approaches assume a relatively balanced class distribution, which is grossly violated in many real-life problems. Often, the ratios of prior probabilities between classes are extremely skewed. In this paper, we study the use of renowned prototype selection methods adapted to the case of learning from an imbalanced dissimilarity matrix. More specifically, we propose the…

Class (computer programming)business.industryPattern recognitionPattern RecognitionMachine learningcomputer.software_genreSet (abstract data type)Matrix (mathematics)Distribution (mathematics)DissimilarityOne sidedPattern recognition (psychology)Artificial intelligenceRepresentation (mathematics)businesscomputerSelection (genetic algorithm)Mathematics
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A two-phase problem with Robin conditions on the free boundary

2020

We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an existence and a regularity result for minimizers of the associated variational problem. Finally, in the appendix, we give an example of a class of Steiner symmetric minimizers. peerReviewed

Class (set theory)General MathematicsBoundary (topology)variaatiolaskentaRobin boundary conditionsPhase problemRobin boundary condition01 natural sciencesFree boundary problemsRegularityMathematics - Analysis of PDEsFOS: MathematicsFree boundary problemApplied mathematics0101 mathematicsMathematicsosittaisdifferentiaaliyhtälöt010102 general mathematicsFree boundary problemFree boundary problems; Regularity; Robin boundary conditions; Two-phasematemaattinen optimointi16. Peace & justiceRobin boundary condition010101 applied mathematicsTwo-phaseAnalysis of PDEs (math.AP)
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On singularities of discontinuous vector fields

2003

Abstract The subject of this paper concerns the classification of typical singularities of a class of discontinuous vector fields in 4D. The focus is on certain discontinuous systems having some symmetric properties.

Class (set theory)Mathematics(all)SingularityNormal formGeneral MathematicsMathematical analysisTopologyDiscontinuous systemsReversibilityGravitational singularityVector fieldDiscontinuous vector fieldsFocus (optics)MathematicsBulletin des Sciences Mathématiques
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FROM DISCRETE KINETIC AND STOCHASTIC GAME THEORY TO MODELLING COMPLEX SYSTEMS IN APPLIED SCIENCES

2004

This paper deals with some methodological aspects related to the discretization of a class of integro-differential equations modelling the evolution of the probability distribution over the microscopic state of a large system of interacting individuals. The microscopic state includes both mechanical and socio-biological variables. The discretization of the microscopic state generates a class of dynamical systems defining the evolution of the densities of the discretized state. In general, this yields a system of partial differential equations replacing the continuous integro-differential equation. As an example, a specific application is discussed, which refers to modelling in the field of…

Class (set theory)Partial differential equationDiscretizationField (physics)Dynamical systems theoryApplied Mathematicspopulation modelsMathematical analysisStochastic gameBoltzmann modelsComplex systemnonlinearityModeling and SimulationApplied mathematicsProbability distributiondiscretizationKinetic theoryMathematicsMathematical Models and Methods in Applied Sciences
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Are locally finite MV-algebras a variety?

2021

We answer Mundici's problem number 3 (D. Mundici. Advanced {\L}ukasiewicz calculus. Trends in Logic Vol. 35. Springer 2011, p. 235): Is the category of locally finite MV-algebras equivalent to an equational class? We prove: (i) The category of locally finite MV-algebras is not equivalent to any finitary variety. (ii) More is true: the category of locally finite MV-algebras is not equivalent to any finitely-sorted finitary quasi-variety. (iii) The category of locally finite MV-algebras is equivalent to an infinitary variety; with operations of at most countable arity. (iv) The category of locally finite MV-algebras is equivalent to a countably-sorted finitary variety. Our proofs rest upon th…

Class (set theory)Pure mathematicsAlgebra and Number Theory06D35 (Primary) 18C05 (Secondary)Duality (mathematics)Mathematics - Category TheoryMathematics - LogicArityMathematical proofComputer Science::Logic in Computer ScienceMathematics::Category TheoryFOS: MathematicsCountable setFinitaryCategory Theory (math.CT)Variety (universal algebra)Logic (math.LO)Categorical variableMathematics
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Periodic solutions of a class of non-autonomous second order differential equations with discontinuous right-hand side

2012

Abstract The main goal of this paper is to discuss the existence of periodic solutions of the second order equation: y ″ + η sgn ( y ) = α sin ( β t ) with ( η , α , β ) ∈ R 3 η > 0 . We analyze the dynamics of such an equation around the origin which is a typical singularity of non-smooth dynamical systems. The main results consist in exhibiting conditions on the existence of typical periodic solutions that appear generically in such systems. We emphasize that the mechanism employed here is applicable to many more systems. In fact this work fits into a general program for understanding the dynamics of non-autonomous differential equations with discontinuous right-hand sides.

Class (set theory)Second order differential equationsWork (thermodynamics)SingularityDynamical systems theoryDifferential equationMathematical analysisSecond order equationStatistical and Nonlinear PhysicsCondensed Matter PhysicsMathematicsPhysica D: Nonlinear Phenomena
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Invariant deformation theory of affine schemes with reductive group action

2015

We develop an invariant deformation theory, in a form accessible to practice, for affine schemes $W$ equipped with an action of a reductive algebraic group $G$. Given the defining equations of a $G$-invariant subscheme $X \subset W$, we device an algorithm to compute the universal deformation of $X$ in terms of generators and relations up to a given order. In many situations, our algorithm even computes an algebraization of the universal deformation. As an application, we determine new families of examples of the invariant Hilbert scheme of Alexeev and Brion, where $G$ is a classical group acting on a classical representation, and describe their singularities.

Classical groupPure mathematicsInvariant Hilbert schemeDeformation theory01 natural sciencesMathematics - Algebraic Geometry0103 physical sciencesFOS: Mathematics0101 mathematicsInvariant (mathematics)Representation Theory (math.RT)Algebraic Geometry (math.AG)MathematicsAlgebra and Number Theory[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]010102 general mathematicsReductive group16. Peace & justiceObstruction theoryDeformation theoryHilbert schemeAlgebraic groupMSC: 13A50; 20G05; 14K10; 14L30; 14Q99; 14B12Gravitational singularity010307 mathematical physicsAffine transformation[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]SingularitiesMathematics - Representation Theory
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A study on recovering the cloud top-height from infra-red video sequences

2004

In this paper we present some preliminary results on an opticalfow based technique aimed at recovering the cloud-top height from infra-red image sequences. The recovery of the cloud-top height from satellite infra-red images is an important topic in meteorological studies, and is traditionally based on the analysis of the temperature maps. In this work we explore the feasibility for this problem of a technique based on a robust multi-resolution opticalfow algorithm. The robustness is achieved adopting a Least Median of Squares paradigm. The algorithm has been tested on semi-synthetic data (i.e. real data that have been synthetically warped in order to have a reliable ground truth for the mo…

Cloud properties space imagery infrared window method satellite viewing system disparity fieldSettore INF/01 - InformaticaInfraredbusiness.industryVideo sequenceCloud computingbusinessGeologyRemote sensing
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A new shoreline change assessment approach for erosion management strategies

2022

Shoreline evolution studies are fundamental to assess the rate of beach accretion or retreatment. In the last years, researchers developed many methods with several techniques belonging to different disciplines and backgrounds. Nowadays, the Shoreline Change Analysis (SCA) is the most widespread method to assess shoreline evolution. In fact, the SCA is needed to perform management strategies able to respond to current erosion or potential future erosion problems. This paper presents a new approach using an automatic method for SCA with accuracy and speed improvements. Indeed, in the framework of the management of coastal erosion and to develop an adaptation plan to coastal hazards it is nec…

Coastal erosion management Shoreline change analysis Shoreline irregularity Shoreline roughness Area based analysis Transect based analysisManagement Monitoring Policy and LawAquatic ScienceOceanography
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