Search results for " set"

showing 10 items of 2095 documents

Conditional measures and their applications to fuzzy sets

1991

Abstract Given a ⊥-decomposable measure with respect to a continuous t-conorm, as introduced by the author in an earlier paper (see Section 1), we can construct ⊥-conditional measures as implications. These fulfil a ‘generalized product law’ replacing the product in the classical law by any other strict t-norm ⊥ and turn out to be decomposable with respect to an operation ⊥ V depending on ⊥, ⊥ and the condition set V (Section 2). More general, conditional measures are introduced axiomatically and are shown to be ⊥-conditional measures with respect to some ⊥-decomposable measure (Section 3). ‘Bayesian-like’ models are given which are alternatives to that presented by the author in a recent p…

AlgebraSet (abstract data type)Artificial IntelligenceLogicSection (archaeology)Product (mathematics)Fuzzy setCalculusInformation measureConstruct (python library)Bayesian inferenceMeasure (mathematics)MathematicsFuzzy Sets and Systems
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Formal Description of Rough Sets

1994

In the paper we present a formal description of rough sets within the limits of the generalized set theory, which is interpreted in the approximation of set theory. The rough sets are interpreted as an approximations, which are defined by means of the Pawlak’s rough sets.

AlgebraSimple objectRough setSet theoryFormal descriptionMathematics
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Sur les feuilletages alg�briques de Rolle

1997

L'objet de ce travail est l'etude des feuilletages algebriques de Rolle dans \( \Bbb {R}^n \). On montre que leur restriction au complementaire d'un nombre fini de feuilles possede une structure de produit. On precise aussi la topologie de certaines de leurs feuilles.

Algebraic setCombinatoricsPolynomialSeparatrixGeneral MathematicsFibrationMathematicsCommentarii Mathematici Helvetici
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Lawvere–Tierney sheaves in Algebraic Set Theory

2009

We present a solution to the problem of defining a counterpart in Algebraic Set Theory of the construction of internal sheaves in Topos Theory. Our approach is general in that we consider sheaves as determined by Lawvere-Tierney coverages, rather than by Grothendieck coverages, and assume only a weakening of the axioms for small maps originally introduced by Joyal and Moerdijk, thus subsuming the existing topos-theoretic results.

Algebraic setPure mathematicsLogicMathematics - Category TheoryMathematics - LogicTopos theoryPhilosophyMathematics::LogicMathematics::Algebraic GeometryMathematics::Category TheoryFOS: MathematicsCategory Theory (math.CT)Algebraic Set Theory sheavesLogic (math.LO)03C90 03G30 03F50AxiomMathematics
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Sobre algunos endemismos ibéricos presentes en las áreas setabenses

1999

Se aportan nuevos datos sobre la distribución de seis endemismos ibéricos presentes en las áreas setabenses de las provincias de Alicante y Valencia. En todos los casos se trata de ampliaciones notables de sus áreas de distribución y, en el caso de Hippocrepis valentina y Centaurea segariensis, novedades para el catálogo provincial de Valencia. Para todas ellas, se aportan datos sobre su ecología, fitosociología y biogeografía. New data on distribution of six Spanish endemics growing in the Setabensian areas of Valencia and Alicante provinces (E of Spain), are reported. The distribution areas of most of them are considerably enlarged, and both Hippocrepis valentina and Centaurea segariensis…

Alicante (Provincia)Áreas setabensesBotánicaCiencias biológicasUNESCO::CIENCIAS DE LA VIDAValencia (Provincia)Endemismos ibéricos:CIENCIAS DE LA VIDA [UNESCO]
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Allo-repetition in Academic Settings. Cooperation, Understanding Co-construction and Knowledge Negotiation in the Medical Section of the ELFA Corpus

2015

In recent years, spoken academic ELF (English as a Lingua Franca) has been an object of in- creasing interest in linguistic and communication studies thanks to the position of academia as “one of the domains which have most eagerly adopted English as their common language in in- ternational communication” (Mauranen 2006a: 146) 1. In a context where different linguistic and cultural backgrounds come together, clarity and explicitness play a prominent role. In this respect, ELF research has paid much attention to the importance of communicative strategies, the most prominent of which is repetition. ELF studies on repetition have been carried out in several do- mains, including academia. Withi…

Allo-repetitionAllo-repetition; academic communication; intercultural settings; medical discourse; knowledge negotiation; understanding co-constructionknowledge negotiationintercultural settingmedical discourseacademic communicationunderstanding co-constructionSettore L-LIN/12 - Lingua E Traduzione - Lingua Inglese
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Gabor systems and almost periodic functions

2017

Abstract Inspired by results of Kim and Ron, given a Gabor frame in L 2 ( R ) , we determine a non-countable generalized frame for the non-separable space AP 2 ( R ) of the Besicovic almost periodic functions. Gabor type frames for suitable separable subspaces of AP 2 ( R ) are constructed. We show furthermore that Bessel-type estimates hold for the AP norm with respect to a countable Gabor system using suitable almost periodic norms of sequences.

Almost periodic functionApplied Mathematics010102 general mathematicsAlmost-periodic functions010103 numerical & computational mathematicsGabor frame01 natural sciencesLinear subspaceFunctional Analysis (math.FA)Separable spaceCombinatoricsMathematics - Functional AnalysisFramesNorm (mathematics)42C40 42C15 42A75FOS: MathematicsAP-framesCountable set0101 mathematicsGabor systemsMathematicsAlmost-periodic functions; AP-frames; Frames; Gabor systems; Applied Mathematics
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Altari del Settecento a Catania. Storia, rilievo e rappresentazione di tre casi studio

2022

Il contributo affronta il tema degli altari a doppio ordine settecenteschi conservati a Catania nelle chiese di San Giuliano, San Placido e Santa Chiara. A partire dal rilievo strumentale, l'analisi grafica e tipologica dei manufatti viene integrata con le informazioni documentarie e bibliografiche note. La rappresentazione digitale degli altari consente di chiarire specifiche questioni relative a modelli e scelte progettuali.

Altari Catania Settecento Rilievo RappresentazioneSettore ICAR/17 - Disegno
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Fuzziness, Philosophy, and Medicine

2013

In his Handbook of Analytic Philosophy of Medicine, a book that in our view is qualified to be the starting point of a new discourse in the fields of Theoretical Medicine and Philosophy of Medicine, Kazem Sadegh-Zadeh uses two scientific theories that are studied and regarded in many specific sectors of hard and human sciences but not globally well-known in Philosophy of Medicine: Fuzzy Set Theory and Structuralism. This opening contribution briefly discusses those approaches, and introduces the musing, ideas, counterpoints and contributions from many other authors, among them philosophers, logicians, mathematicians and researchers from different and competing disciplines, that constitute t…

Analytic philosophyStructuralism (philosophy of science)Philosophy of medicineFuzzy setHuman scienceSociologyScientific theoryEpistemology
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High‐nuclearity mixed‐valence magnetic clusters : A general solution of the double exchange problem

1996

We report here a general solution of the double‐exchange problem in the high‐nuclearity mixed valence systems containing arbitrary number P of the electrons delocalized over the network of N (P<N) localized spins. The developed approach is based on the successive (chainlike) spin‐coupling scheme and takes full advantage from the quantum angular momentum theory. In the framework of this approach the closed‐form analytical expressions are deduced for the matrix elements of the double exchange interaction, two‐electron transfer, and three‐center interaction that can be referred to as the potential exchange transfer. For the arbitrary nuclearity mixed‐valence systems the matrix elements of all …

Angular momentumValence (chemistry)SpinsChemistryExchange interactionExchange InteractionsGeneral Physics and AstronomyElectron TransferQuantum numberLocalized StatesUNESCO::FÍSICA::Química físicaDelocalized electronMolecular ClustersQuantum mechanicsMixed−Valence CompoundsPhysical and Theoretical ChemistryMatrix ElementsSpin−Lattice Relaxation:FÍSICA::Química física [UNESCO]Exchange Interactions ; Molecular Clusters ; Matrix Elements ; Electron Transfer ; Localized States ; Spin−Lattice Relaxation ; Mixed−Valence CompoundsQuantumBasis set
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