Search results for "curves"

showing 10 items of 152 documents

Mechanical and electrical behavior of human muscle during maximal concentric and eccentric contractions

1974

The force-velocity relationships of human muscle (e.g., Asmussen, Hansen, and Lammert, 1965; Komi, 1973a) characterize the main mechanical differences in concentric and eccentric work. Some information also has been reported on the interrelationship between neural input and mechanical output during submaximal concentric and eccentric contractions. The slope of the regression line representing the relationship between IEMG and muscle tension is greater when muscle shortens at a constant velocity than when it lengthens at the same velocity (Bigland and Lippold, 1954). When recordings were made with a greater number of velocities, then a family of curves was obtained, a result which emphasizes…

PhysicsHuman muscleTension (physics)Muscle tensionFamily of curvesWork (physics)EccentricEccentric contractionsMechanicsConcentric
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Equivariance in topological gravity

1992

Abstract We present models of topological gravity for a variety of moduli space conditions. In four dimensions, we construct a model for self-dual gravity characterized by the moduli condition R + μν =0, and in two dimensions we treat the case of constant scalar curvature. Details are also given for both flat and Yang-Mills type moduli conditions in arbitrary dimensions. All models are based on the same fundamental multiplet which conveniently affords the construction of a complete hierarchy of observables. This approach is founded on a symmetry algebra which includes a local vector supersymmetry, in addition to a global BRST-like symmetry which is equivariant with respect to Lorentz transf…

PhysicsModuli of algebraic curvesHigh Energy Physics::TheoryNuclear and High Energy PhysicsModular equationEquivariant mapQuantum gravityInvariant (mathematics)TopologyMultipletGeneral Theoretical PhysicsModuliModuli space
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Studies of inelastic cross-section in Rb(7S) + Rb(5S) collisions

1996

The cross section σ = (8 ± 4) × 10−15 cm2 was determined for the Rb(7S) + Rb(5S) → Rb(5D) + Rb(5S) excitation energy transfer process, and the quenching cross section σq = (2 ± 1) × 10−14 cm2 for the Rb(5D) state in collisions with ground state Rb atoms. Applying rubidium quasimolecular asymptotic potential curves at relatively large internuclear distances, a qualitative interpretation of the experimental results is presented. It is shown that the quenching of the Rb(5D) atoms in collisions may be explained by a reversed energy pooling process Rb(5D) + Rb(5S) → Rb(5P) + Rb(5P).

PhysicsQuenching (fluorescence)Energy transferchemistry.chemical_elementCondensed Matter PhysicsAtomic and Molecular Physics and OpticsRubidiumCross section (physics)chemistryPotential curvesAtomic physicsGround stateMathematical PhysicsExcitationPhysica Scripta
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Differential Geometry of Curves and Surfaces

2001

The goal of this article is to present the relation between some differential formulas, like the Gauss integral for a link, or the integral of the Gaussian curvature on a surface, and topological invariants like the linking number or the Euler characteristic.

PhysicsSurface (mathematics)symbols.namesakeFrenet–Serret formulasGaussian integralMathematical analysisGaussian curvaturesymbolsConstant-mean-curvature surfaceDifferential geometry of curvesLinking numberDifferential (mathematics)
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Rotational States of the Helium Trimer in the Symmetry-Adapted Hyperradial-Adiabatic Approach

2003

We have searched for bound rotationally excited states of the helium trimer using the symmetry-adapted hyperradial adiabatic approach. Since the calculated J p = 2+ and J p = 1− potential curves are both completely repulsive, we infer that there are no bound rotational states of 4He3. A recent adiabatic calculation [1] based on the direct solution of the Coriolis-coupled Schrodinger equation agrees with this conclusion.

Physicschemistry.chemical_elementTrimerCoriolis couplingSymmetry (physics)Schrödinger equationsymbols.namesakechemistryExcited statePotential curvesPhysics::Atomic and Molecular ClusterssymbolsAtomic physicsAdiabatic processHelium
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Uniform estimates for the X-ray transform restricted to polynomial curves

2012

We establish near-optimal mixed-norm estimates for the X-ray transform restricted to polynomial curves with a weight that is a power of the affine arclength. The bounds that we establish depend only on the spatial dimension and the degree of the polynomial. Some of our results are new even in the well-curved case.

Polynomial curvesPolynomialX-ray transformMixed normDegree (graph theory)Mathematical analysisMixed normPower (physics)Affine arclengthDimension (vector space)Mathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: MathematicsRestricted X-rayAffine transformation42B25Generalized Radon transformAnalysisMathematicsJournal of Functional Analysis
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A Characterization of Quintic Helices

2005

A polynomial curve of degree 5, @a, is a helix if and only if both @[email protected]^'@? and @[email protected]^'@[email protected]^''@? are polynomial functions.

PolynomialTheorem of LancreteducationComputingMilieux_LEGALASPECTSOFCOMPUTINGCharacterization (mathematics)behavioral disciplines and activitiesMathematics::Algebraic TopologyCombinatoricsMathematics - Geometric TopologyTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYhealth services administrationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: Mathematicshealth care economics and organizationsMathematicsPhysics::Biological PhysicsQuantitative Biology::BiomoleculesDegree (graph theory)InformationSystems_INFORMATIONSYSTEMSAPPLICATIONSApplied MathematicsMathematical analysisGeometric Topology (math.GT)Pythagorean hodograph curveshumanitiesQuintic functionComputational MathematicsGeneralized polynomial helices
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CT-Densitometrie zur Analyse der statischen Druckvolumenkurve der Lunge bei experimentell induziertem Lungenschaden

2005

Purpose: To study quantitative changes of lung density distributions when recording in- and expiratory static pressure-volume curves by single slice computed tomography (CT). Materials und Methods: Static in- and expiratory pressure volume curves (0 to 1000ml, increments of 100ml) were obtained in random order in 10 pigs after induction of lung damage by saline lavage. Simultaneously, CT acquisitions (slice thickness 1 mm, temporal increment 2 s) were performed in a single slice (3 cm below the carina). In each CT image lung segmentation and planimetry of defined density ranges were achieved. The lung density ranges were defined as: hyperinflated (-1024 to -910 HU), normal aerated (-910 to …

Pressure-volume curvesARDSLungMaterials sciencebusiness.industryAtelectasisStatic pressurerespiratory systemVolume Curvemedicine.diseasemedicine.anatomical_structureVolume (thermodynamics)AnesthesiamedicineRadiology Nuclear Medicine and imagingTomographyNuclear medicinebusiness
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Investigation of Inspiratory Pressure-Volume Curves on Mechanically Ventilated Patients Using Least Square Polynomial Fit

1988

Abstract An on-line method for the registration of pressure volume 1 oops TrT mechanically ventilated patients was developed using a personal computer with analog/digital interface. A third order polynomial function was fitted to the measured inspiratory pressure volume pairs. The significance of the fitting procedure was calculated using regression ANOVA. The inflection point of the pressure-volume curve was determinated by calculating the root of the second derivative of the polynomial. The method was teseted on 20 patients without major pulmonary dysfunction and on 6 patients with severe ARDS.

Pressure-volume curvesPolynomial regressionMechanical ventilationPolynomialInflection pointmedicine.medical_treatmentMathematical analysisPersonal computermedicinePulmonary DysfunctionSimulationSecond derivativeMathematicsIFAC Proceedings Volumes
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Identification of electroactive sites in Prussian Yellow films

2013

Abstract Prussian Blue films were electrogenerated on the surface of the transparent ITO electrodes. The electrochemical oxidation to the Prussian Yellow form was investigated by means of in situ voltammetry and vis–NIR spectroscopic techniques. Changes of the whole spectra between 400 and 950 nm were analyzed and three characteristic wavelengths were selected to in situ follow the electrochemical changes of the films. Voltammetric peaks and absorbance derivative curves at these three wavelengths were deconvoluted and were interpreted such as the overlapping of different electrochemical processes. The correlation between these overlapped processes has allowed proposing three different elect…

Prussian blueElectrochromismGeneral Chemical EngineeringAnalytical chemistryDerivative curvesPrussian Blue filmElectrochemistryAbsorbanceChlorideAbsorbancechemistry.chemical_compoundchemistryElectrochromismElectrodeElectrochemistrymedicineConducting filmSpectroelectrochemistryVoltammetryDerivative (chemistry)medicine.drug
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