Search results for "classical"

showing 10 items of 2294 documents

Bilaterally recorded multiple-unit activity of the cingulate cortex during head turning conditioning with unilateral medial forebrain bundle stimulat…

1993

Cats were conditioned to turn their heads using a tone conditioned stimulus (CS) and medial forebrain bundle stimulation (MFB) unconditioned stimulus (US). The CS+ was delivered to one ear at a time, in random order, followed by the US. A tone of a different frequency was used as a CS-. The cats learned to respond differentially to the CSs showing head movements of greater acceleration to the CS+ than CS- over sessions. Bilateral recordings of cingulate cortex multiple-unit activity showed increased response amplitudes over sessions and larger responses in the hemisphere ipsilateral to the US. Since ipsilateral multiple-unit responses did not differ for the CSs, the asymmetry was probably d…

Cingulate cortexConditioning ClassicalStimulationBrain mappingGyrus CinguliArousalArts and Humanities (miscellaneous)Neck MusclesOrientationDevelopmental and Educational PsychologymedicineAnimalsAttentionMedial forebrain bundleEvoked PotentialsGeneral PsychologyCerebral CortexBrain MappingMedial Forebrain BundleClassical conditioningBody movementGeneral MedicineElectric Stimulationmedicine.anatomical_structureCerebral cortexCatsPsychologyArousalNeuroscienceScandinavian journal of psychology
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Asymmetries in classically conditioned head movements and cingulate cortex slow potentials in cats.

1991

Presuming that conditioned head movements in the cat indicate a preference for a specific direction, asymmetries were also expected to be found in bilaterally recorded cingulate cortex slow potentials to a symmetrical tone stimulus during discriminative conditioning. Conditioned stimuli (CS, 1000 and 2500 Hz tones) were delivered through two miniature loudspeakers fitted to the head in front of both ears. The unconditioned stimulus (US) was an electrical stimulation of either the left or right lateral hypothalamus yielding, in addition to its rewarding effects, an unconditioned head turning response (UR) either to the left, right, forwards or upwards. Discrimination learning appeared as mor…

Cingulate cortexMovementPopulationConditioning ClassicalTransducersStimulus (physiology)MedicineAnimalsEvoked potentialeducationEvoked PotentialsCerebral Cortexeducation.field_of_studybusiness.industryGeneral NeuroscienceClassical conditioningBody movementGeneral MedicineElectric StimulationElectrodes ImplantedElectrophysiologymedicine.anatomical_structureCerebral cortexHypothalamic Area LateralCatsbusinessNeuroscienceHeadThe International journal of neuroscience
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Unilateral medial forebrain bundle activation selectively enhances conditioned orienting head turns and ipsilateral cingulate cortex evoked field res…

1994

Effects of a unilateral medial forebrain bundle (MFB) stimulation unconditioned stimulus (US) on conditioned head turn and bilateral cingulate cortex field potentials were studied in cats. Conditioned stimuli (CSs) of different frequences were given randomly to either ear. The CS+ was followed by the US, and the CS— was presented alone. Before conditioning most cats predominantly turned toward the ear to which the CSs were presented, whereas after conditioning the head turns were in one direction, most prominently contralateral to the US. Negative field potentials were greater in the cingulate cortex ipsilateral to the US than in the cingulate cortex contralateral to the US. Cross correlati…

Cingulate cortexPhysiologybusiness.industryGeneral NeuroscienceClassical conditioningBody movementEvoked fieldLateralityMedicinePremovement neuronal activityEvoked potentialMedial forebrain bundlebusinessNeurosciencePsychobiology
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Quranic app practices among multilingual Muslim youth in Denmark

2019

This article sheds light on a set of religious literacy practices which have so far received very little scientific attention, namely ‘quranic app practices’. Quranic app practices are conceptualized as ways of engaging with the Quran through religious apps on smartphones or tablets. The article is based primarily on an explorative group interview with four young people from a Year 8 class in a multilingual lower secondary school in Denmark. The youth have Somali and Afghan background, consider themselves practicing Muslims and can be described as ‘religious heritage learners of Arabic’ (Temples 2013). The article explores the quranic app practices of the young people as reported in the int…

Class (computer programming)multilingual youthlanguageClassical Arabic Faith literacies Quranic apps Multilingual youth Language and identitymedia_common.quotation_subjectGeneral MedicineSomaliArticlelanguage.human_languagefaith literaciesFaithclassical Arabicquranic appsAfghanYouth in DenmarkPedagogylanguageSociologyClassical ArabicReligious literacySet (psychology)identitymedia_commonApples - Journal of Applied Language Studies
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Overlapping self-affine sets of Kakeya type

2009

We compute the Minkowski dimension for a family of self-affine sets on the plane. Our result holds for every (rather than generic) set in the class. Moreover, we exhibit explicit open subsets of this class where we allow overlapping, and do not impose any conditions on the norms of the linear maps. The family under consideration was inspired by the theory of Kakeya sets.

Class (set theory)Applied MathematicsGeneral Mathematics010102 general mathematicsMinkowski–Bouligand dimensionDynamical Systems (math.DS)Type (model theory)16. Peace & justice01 natural sciencesCombinatoricsSet (abstract data type)Mathematics - Classical Analysis and ODEs0103 physical sciencesClassical Analysis and ODEs (math.CA)FOS: Mathematics28A80 37C45010307 mathematical physicsAffine transformationMathematics - Dynamical Systems0101 mathematicsMathematicsErgodic Theory and Dynamical Systems
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Painlevé analysis and exact solutions for the coupled Burgers system

2006

We perform the Painleve test to a system of two coupled Burgers-type equations which fails to satisfy the Painleve test. In order to obtain a class of solutions, we use a slightly modified version of the test. These solutions are expressed in terms of the Airy functions. We also give the travelling wave solutions, expressed in terms of the trigonometric and hyperbolic functions.

Class (set theory)Nonlinear Sciences::Exactly Solvable and Integrable SystemsAiry functionHyperbolic functionMathematics::Classical Analysis and ODEsTraveling waveApplied mathematicsOrder (group theory)TrigonometryPainlevé Burgers-type equationsMathematicsWIT Transactions on Engineering Sciences, Vol 52
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A Multiplicity result for a class of strongly indefinite asymptotically linear second order systems

2010

We prove a multiplicity result for a class of strongly indefinite nonlinear second order asymptotically linear systems with Dirichlet boundary conditions. The key idea for the proof is to bring together the classical shooting method and the Maslov index of the linear Hamiltonian systems associated to the asymptotic limits of the given nonlinearity.

Class (set theory)Pure mathematicsApplied MathematicsMathematical analysisLinear systemMultiplicity (mathematics)34B15 37J05 53C50Functional Analysis (math.FA)Hamiltonian systemMathematics - Functional AnalysisNonlinear systemsymbols.namesakeShooting methodMathematics - Classical Analysis and ODEsSettore MAT/05 - Analisi MatematicaDirichlet boundary conditionClassical Analysis and ODEs (math.CA)FOS: MathematicssymbolsOrder (group theory)Multiplicity Asymptotically linear BVP Maslov index Phase angleAnalysisMathematics
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Positivity, complex FIOs, and Toeplitz operators

2018

International audience; We establish a characterization of complex linear canonical transformations that are positive with respect to a pair of strictly plurisubharmonic quadratic weights. As an application, we show that the boundedness of a class of Toeplitz operators on the Bargmann space is implied by the boundedness of their Weyl symbols.

Class (set theory)Pure mathematicsFourier integral operator in the complex domainPrimary: 32U05 32W25 35S30 47B35 70H1570H15Mathematics::Classical Analysis and ODEsOcean EngineeringCharacterization (mathematics)32U05 32W25 35S30 47B35 70H15Space (mathematics)01 natural sciencesMathematics - Analysis of PDEsQuadratic equation0103 physical sciencesFOS: Mathematics0101 mathematics[MATH]Mathematics [math]MathematicsMathematics::Functional Analysispositive canonical transformationMathematics::Complex Variables32U0532W25010102 general mathematicsToeplitz matrixFunctional Analysis (math.FA)Mathematics - Functional Analysis35S30Toeplitz operatorpositive Lagrangian plane010307 mathematical physicsstrictly plurisubharmonic quadratic form47B35Analysis of PDEs (math.AP)Toeplitz operator
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Rigidity of quasisymmetric mappings on self-affine carpets

2016

We show that the class of quasisymmetric maps between horizontal self-affine carpets is rigid. Such maps can only exist when the dimensions of the carpets coincide, and in this case, the quasisymmetric maps are quasi-Lipschitz. We also show that horizontal self-affine carpets are minimal for the conformal Assouad dimension.

Class (set theory)Pure mathematicsMathematics::Dynamical SystemsGeneral Mathematicsquasisymmetric mapsMathematics::General TopologyPhysics::OpticsConformal mapRigidity (psychology)01 natural sciencesDimension (vector space)0103 physical sciencesClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematics::Metric Geometry0101 mathematicsself-affine carpetsMathematicsta111010102 general mathematicsPhysics::Classical PhysicsMathematics - Classical Analysis and ODEs010307 mathematical physicsAffine transformation28A80 37F35 30C62 30L10
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A lower bound for the Bloch radius of 𝐾-quasiregular mappings

2004

We give a quantitative proof to Eremenko’s theorem (2000), which extends Bloch’s classical theorem to the class of n n -dimensional K K -quasiregular mappings.

Class (set theory)Pure mathematicsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESApplied MathematicsGeneral MathematicsMathematicsofComputing_GENERALGeometryRadiusClassical theoremGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)Upper and lower boundsMathematicsProceedings of the American Mathematical Society
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