Search results for "LIMIT"

showing 10 items of 2826 documents

Palliative ventilatory support: same knowledge, different goal.

2018

Palliative care as a clinical field emerged in the 1990s, aiming at improving end-of-life (EOL) experience for seriously ill patients (1). It changed the way to approach families saying them that their loved ones were approaching the end limiting life support while maintain comfort (2). It is now also evident that palliative care has not only to be seen as the job of consultants or by specialists in this field but also an approach to care at the “primary” level by intensivist, intensive care unit (ICU) nurses, and other clinicians (2).

Pulmonary and Respiratory MedicinePalliative carebusiness.industryIntensivistLimitingIntensive care unitlaw.invention03 medical and health sciences0302 clinical medicineNursinglaw030220 oncology & carcinogenesisLife supportMedicine030212 general & internal medicinebusinessLetter to the EditorJournal of thoracic disease
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The Association Between Bone Mineral Density and Airflow Limitation in a Cohort of Fit Elderly Women

2016

Purpose: As studies examining the association between bone mineral density (BMD) and airflow limitation (AL) have produced conflicting results, the current one set out to analyze if and to what degree there are any correlations between these variables in a population of fit elderly women. Methods: One hundred and twenty-one non-smoking, fit and healthy women (age ≥ 65 years) underwent anthropometric assessment, laboratory testing (serum 25-hydroxy vitamin D, parathormone, and cytokine levels), pulmonary function testing (PFT), and dual-energy X-ray absorptiometry to evaluate BMD values of the lumbar and femoral regions. Results: A significant positive association was found between FEV1/FVC …

Pulmonary and Respiratory Medicinemedicine.medical_specialtyVital CapacityPopulation030209 endocrinology & metabolismNO03 medical and health sciencesFEV1/FVC ratioAbsorptiometry Photon0302 clinical medicineLumbarElderlyAirflow limitationBone DensityForced Expiratory VolumeInternal medicinemedicineBone mineral densityHumanseducationAgedFemoral neckBone mineraleducation.field_of_studyLumbar VertebraeTrochanterAirflow limitation; Bone mineral density; Elderly; Pulmonary function testFemur Neckbusiness.industryPulmonary function testPulmonary function test Airflow limitation Bone mineral density ElderlyAnthropometryHealthy VolunteersSurgerymedicine.anatomical_structure030228 respiratory systemQuartilePhysical FitnessFemalebusiness
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Weighted limits in simplicial homotopy theory

2010

Abstract By combining ideas of homotopical algebra and of enriched category theory, we explain how two classical formulas for homotopy colimits, one arising from the work of Quillen and one arising from the work of Bousfield and Kan, are instances of general formulas for the derived functor of the weighted colimit functor.

Pure mathematicsAlgebra and Number TheoryFunctorBrown's representability theoremHomotopy categoryModel categoryHomotopical algebraHomotopiaQuillen adjunctionCone (category theory)Mathematics::Algebraic TopologyAlgebraCategories (Matemàtica)Homotopy limits simplicial model categories weighted limitsMathematics::K-Theory and HomologyMathematics::Category TheorySimplicial set512 - ÀlgebraMathematics
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Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems

2015

In this paper we introduce new methods to prove the finite cyclicity of some graphics through a triple nilpotent point of saddle or elliptic type surrounding a center. After applying a blow-up of the family, yielding a singular 3-dimensional foliation, this amounts to proving the finite cyclicity of a family of limit periodic sets of the foliation. The boundary limit periodic sets of these families were the most challenging, but the new methods are quite general for treating such graphics. We apply these techniques to prove the finite cyclicity of the graphic $(I_{14}^1)$, which is part of the program started in 1994 by Dumortier, Roussarie and Rousseau (and called DRR program) to show that…

Pure mathematicsCenter (category theory)Boundary (topology)Dynamical Systems (math.DS)Type (model theory)FoliationNilpotentMathematics (miscellaneous)FOS: MathematicsLimit (mathematics)Point at infinityMathematics - Dynamical Systems34C07 37G15SaddleMathematicsTransactions of the Moscow Mathematical Society
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Harnack and Shmul'yan pre-order relations for Hilbert space contractions

2015

We study the behavior of some classes of Hilbert space contractions with respect to Harnack and Shmul'yan pre-orders and the corresponding equivalence relations. We give some conditions under which the Harnack equivalence of two given contractions is equivalent to their Shmul'yan equivalence and to the existence of an arc joining the two contractions in the class of operator-valued contractive analytic functions on the unit disc. We apply some of these results to quasi-isometries and quasi-normal contractions, as well as to partial isometries for which we show that their Harnack and Shmul'yan parts coincide. We also discuss an extension, recently considered by S.~ter~Horst [\emph{J. Operato…

Pure mathematicsGeneral Mathematics[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]01 natural sciencesasymptotic limitpartial isometriessymbols.namesakeFOS: MathematicsEquivalence relation0101 mathematicsEquivalence (formal languages)Toeplitz operatorsMathematicsPartial isometry010102 general mathematicsClass functionHilbert spacequasi normal operators16. Peace & justiceHarnack pre-orderFunctional Analysis (math.FA)010101 applied mathematicsMathematics - Functional Analysis47A10 47A45Hilbert space contractionssymbolsShmul'yan pre-orderAnalytic function
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?Almost? mean-field ising model: An algebraic approach

1991

We study the thermodynamic limit of the algebraic dynamics for an "almost" mean-field Ising model, which is a slight generalization of the Ising model in the mean-field approximation. We prove that there exists a family of "relevant" states on which the algebraic dynamics αt can be defined. This αt defines a group of automorphisms of the algebra obtained by completing the standard spin algebra with respect to the quasiuniform topology defined by our states. © 1991 Plenum Publishing Corporation.

Pure mathematicsGroup (mathematics)Statistical and Nonlinear PhysicsDimension of an algebraic varietySquare-lattice Ising modelalgebraic approachAutomorphismSpin systemCombinatoricsAlgebraic cyclePhysics and Astronomy (all)Thermodynamic limitIsing modelAlgebraic numberthermodynamical limitSettore MAT/07 - Fisica MatematicaMathematical PhysicsStatistical and Nonlinear PhysicMathematicsJournal of Statistical Physics
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On the topology of surfaces with the generalised simple lift property.

2020

In this paper, we study the geometry of surfaces with the generalised simple lift property. This work generalises previous results by Bernstein and Tinaglia, and it is motivated by the fact that leaves of a minimal lamination obtained as a limit of a sequence of properly embedded minimal disks satisfy the generalised simple lift property.

Pure mathematicsHyperbolic geometryminimal laminationAlgebraic geometryminimal surfaces01 natural sciencesLift (mathematics)differentiaaligeometriaMathematics - Geometric Topology510 Mathematics0103 physical sciencesFOS: MathematicsLimit of a sequence53A10 51H050101 mathematicstopologiaSimple lift propertyMathematicsProjective geometryColding and minicozzi theoryOriginal PaperMinimal surface010102 general mathematicscolding and minicozzi theory53A10Geometric Topology (math.GT)Minimal surfacesMinimal lamination16. Peace & justiceDifferential geometry51H05010307 mathematical physicsGeometry and Topologygeometriasimple lift propertyGeometriae dedicata
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Techniques in the Theory of Local Bifurcations: Cyclicity and Desingularization

1993

A fundamental open question of the bifurcation theory of vector fields in dimension 2 is whether the number of locally bifurcating limit cycles in an analytic unfolding is bounded, or more precisely, whether any limit periodic set has finite cyclicity. In these notes we introduce several techniques for attacking this question: asymptotic expansion of return maps, ideal of coefficients, desingularization of parametrized families. Moreover, because of their practical interest, we present some partial results obtained by these techniques.

Pure mathematicsIdeal (set theory)Bifurcation theoryPhase portraitBounded functionMathematical analysisVector fieldLimit (mathematics)Singular point of a curveAsymptotic expansionMathematics
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New degeneration of Fay's identity and its application to integrable systems

2011

In this paper, we find a new degenerated version of Fay's trisecant identity; this degeneration corresponds to the limit when the four points entering the trisecant identity coincide pairwise. This degenerated version of Fay's identity is used to construct algebro-geometric solutions to the multi-component nonlinear Schrodinger equation. This identity also leads to an independent derivation of algebro-geometric solutions to the Davey–Stewartson equations previously obtained in [17] in the framework of the Krichever scheme. We also give the condition of smoothness of the obtained solutions.

Pure mathematicsIntegrable systemGeneral MathematicsMathematics::Analysis of PDEsFOS: Physical sciences01 natural sciencesIdentity (music)Mathematics - Algebraic Geometrysymbols.namesakeMathematics::Algebraic Geometry[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]0103 physical sciencesFOS: MathematicsLimit (mathematics)[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]0101 mathematics010306 general physicsAlgebraic Geometry (math.AG)Nonlinear Schrödinger equationNonlinear Sciences::Pattern Formation and SolitonsMathematical PhysicsMathematicsSmoothness (probability theory)010102 general mathematics[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG][ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Mathematical Physics (math-ph)[ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG]Nonlinear Sciences::Exactly Solvable and Integrable SystemsScheme (mathematics)symbolsPairwise comparison[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
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Rigged Hilbert spaces and contractive families of Hilbert spaces

2013

The existence of a rigged Hilbert space whose extreme spaces are, respectively, the projective and the inductive limit of a directed contractive family of Hilbert spaces is investigated. It is proved that, when it exists, this rigged Hilbert space is the same as the canonical rigged Hilbert space associated to a family of closable operators in the central Hilbert space.

Pure mathematicsMathematics::Operator AlgebrasGeneral MathematicsHilbert spaceRigged Hilbert spaceDirect limitPhysics::Classical PhysicsFunctional Analysis (math.FA)Mathematics - Functional Analysissymbols.namesakeSettore MAT/05 - Analisi Matematica47A70 46A13 46M40Mathematics::Quantum AlgebrasymbolsFOS: MathematicsRigged Hilbert spaces · Inductive and projective limitsMathematics
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