Search results for " Transformation"

showing 10 items of 1043 documents

The Principles of Canonical Mechanics

2010

Canonical mechanics is a central part of general mechanics, where one goes beyond the somewhat narrow framework of Newtonian mechanics with position coordinates in the three-dimensional space, towards a more general formulation of mechanical systems belonging to a much larger class. This is the first step of abstraction, leaving behind ballistics, satellite orbits, inclined planes, and pendulum-clocks; it leads to a new kind of description that turns out to be useful in areas of physics far beyond mechanics. Through d’Alembert’s principle we discover the concept of the Lagrangian function and the framework of Lagrangian mechanics that is built onto it. Lagrangian functions are particularly …

Hamiltonian mechanicsLegendre transformationsymbols.namesakePoisson bracketPhase spaceLagrangian mechanicssymbolsCanonical transformationMechanicsAnalytical dynamicsHamiltonian systemMathematics
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Conformality and $Q$-harmonicity in sub-Riemannian manifolds

2016

We prove the equivalence of several natural notions of conformal maps between sub-Riemannian manifolds. Our main contribution is in the setting of those manifolds that support a suitable regularity theory for subelliptic $p$-Laplacian operators. For such manifolds we prove a Liouville-type theorem, i.e., 1-quasiconformal maps are smooth. In particular, we prove that contact manifolds support the suitable regularity. The main new technical tools are a sub-Riemannian version of p-harmonic coordinates and a technique of propagation of regularity from horizontal layers.

Harmonic coordinatesMathematics - Differential GeometryPure mathematicsWork (thermodynamics)morphism propertyGeneral Mathematicsconformal transformationBoundary (topology)Conformal map01 natural sciencesdifferentiaaligeometriaMathematics - Analysis of PDEsMathematics - Metric GeometryLiouville TheoremRegularity for p-harmonic functionSubelliptic PDE0103 physical sciencesFOS: MathematicsMathematics (all)0101 mathematicspopp measureMathematicsosittaisdifferentiaaliyhtälötsubelliptic PDESmoothnessQuasi-conformal mapApplied MathematicsHarmonic coordinates; Liouville Theorem; Quasi-conformal maps; Regularity for p-harmonic functions; Sub-Riemannian geometry; Subelliptic PDE; Mathematics (all); Applied Mathematicsta111Harmonic coordinate010102 general mathematics53C17 35H20 58C25Metric Geometry (math.MG)16. Peace & justiceregularity for p-harmonic functionsSub-Riemannian geometrysub-Riemannian geometryDifferential Geometry (math.DG)quasi-conformal mapsRegularity for p-harmonic functionsharmonic coordinates010307 mathematical physicsMathematics::Differential GeometrymonistotLiouville theoremAnalysis of PDEs (math.AP)
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LATE MORTALITY OF HEMORRHAGIC TRANSFORMATION OF ISCHEMIC STROKE

2012

Introduction. Hemorrhagic transformation (HT), a complication of ischemic stroke (IS) is supposed to influence patient’s prognosis. Aim of our study was to evaluate, in a hospital-based series of patients not treated with thrombolysis, the relationship between HT and late mortality. Methods. Mortality of individuals with spontaneous HT was compared to that of individuals without. Medical records of patients diagnosed with anterior IS during the period 2004-2006 were reviewed. Living status was obtained from the public record office of the municipality of Palermo or indirectly by telephone interview. Outcome measure was 90 days survival after IS onset. Kaplan-Meier estimates were used to con…

Hemorrhagic transformation mortalitySettore MED/26 - Neurologia
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Molecular hybridization techniques in current diagnosis of chronic hepatitis B in childhood.

1992

Following the cloning and sequencing of the hepatitis B virus genome, molecular hybridization techniques have been established to detect hepatitis B virus (HBV) DNA in serum and liver tissue. Analyses can be performed by dot blot, Southern blot and in situ hybridization. HBV DNA is regarded to be the most sensitive marker of viral replication and infectivity which was previously related to the presence of hepatitis B e antigen in serum and hepatitis B core antigen in liver cells. In liver tissue different molecular patterns can be recognized as free viral DNA and integrated sequences. Furthermore, introduction of the polymerase chain reaction allows the detection of very small amounts of vi…

Hepatitis B virusHepatitis B virusHepatitis B virus DNA polymeraseNucleotide MappingNucleic Acid HybridizationViral transformationIn situ hybridizationBiologymedicine.disease_causeHepatitis BVirologyPolymerase Chain ReactionHepatitis B virus PRE betalaw.inventionViral replicationlawPediatrics Perinatology and Child HealthDNA ViralmedicineHumansChildPolymerase chain reactionSouthern blotHepatitis ChronicEuropean journal of pediatrics
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In vitro production of anti-neutrophilocyte-cytoplasm-antibodies (ANCA) by Epstein-Barr virus-transformed B-cell lines in Wegener's granulomatosis.

1991

The frequent detection of anti-neutrophilocyte-cytoplasm-antibodies (ANCA) in patients with Wegener's granulomatosis (WG) led to the supposition that this disease might be of autoimmune nature. For some authors assume that Epstein-Barr virus (EBV) infection of human B-lymphocytes besides polyclonal activation could reveal the cryptic immune status against different autoantigens in patients with autoimmune diseases we investigated EBV-transformed B-lymphocytes from patients with Sjögren's syndrome, mixed connective tissue disease, WG and healthy blood donors. Two stable B-cell lines (Ho3, We1) could be established. Inhibition experiments showed that antibodies produced by transformed B-lymph…

Herpesvirus 4 HumanImmunologyBlotting WesternKidney GlomerulusFluorescent Antibody TechniqueCross ReactionsIn Vitro Techniquesmedicine.disease_causeVirusAntibodies Antineutrophil CytoplasmicMixed connective tissue diseaseAntigenmedicineImmunology and AllergyHumansB cellAgedAutoantibodiesB-LymphocytesbiologyInterleukin-6Granulomatosis with PolyangiitisMiddle Agedmedicine.diseaseCell Transformation ViralEpstein–Barr virusVirologymedicine.anatomical_structureImmunoglobulin MPolyclonal antibodiesImmunoglobulin GImmunologybiology.proteinKeratinsAntibodyClone (B-cell biology)Autoimmunity
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Genetic Determined Downregulation of Both Type 1 and Type 2 Cytokine Pathways Might Be Protective against Pancreatic Cancer

2009

Many cytokine polymorphisms have been studied for associations with susceptibility to breast, gastric, liver, lung, prostate, and ovarian cancer without conclusive results. The cytokine network, indeed, is characterized by complex interactions, and the final biological effect of a single genetic variation depends on the balance among different molecular signals. As is well known, Th1/Th2 cytokine unbalanced production might predispose to different pathologies, cancer included. In general, a prolonged type 1 inflammatory response might allow that cells accumulating enough "genetic hits" are promoted to neoplastic transformation. On the other hand, IL-13-producing cells through the IL-13/IL-4…

Heterozygotemedicine.medical_treatmentDown-RegulationBiologyGeneral Biochemistry Genetics and Molecular BiologyTh2 CellsHistory and Philosophy of SciencePancreatic cancerGenotypemedicineHumansGenetic Predisposition to DiseaseNeoplastic transformationInterleukin 4Polymorphism GeneticGeneral NeuroscienceCancerTh1 Cellsmedicine.diseasePancreatic NeoplasmsInterleukin 10Cytokinemedicine.anatomical_structureCase-Control StudiesImmunologyCytokinespancreatic cancer gene polymorphism IL-10 IL-4RalfaPancreasAnnals of the New York Academy of Sciences
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Simulations of an inhomogeneous stellar wind interacting with a pulsar wind in a binary system

2014

Binary systems containing a massive star and a non-accreting pulsar present strong interaction between the stellar and the pulsar winds. The properties of this interaction, which largely determine the non-thermal radiation in these systems, strongly depend on the structure of the stellar wind, which can be clumpy or strongly anisotropic, as in Be stars. We study numerically the influence of inhomogeneities in the stellar wind on the structure of the two-wind interaction region. We carried out for the first time axisymmetric, relativistic hydrodynamical simulations, with Lorentz factors of ~6 and accounting for the impact of instabilities, to study the impact in the two-wind interaction stru…

High Energy Astrophysical Phenomena (astro-ph.HE)PhysicsAstrophysics::High Energy Astrophysical PhenomenaLorentz transformationStrong interactionRotational symmetryFOS: Physical sciencesBinary numberAstronomy and AstrophysicsContext (language use)Astrophysics::Cosmology and Extragalactic AstrophysicsAstrophysicssymbols.namesakePulsar13. Climate actionSpace and Planetary SciencePhysics::Space PhysicssymbolsAstrophysics::Solar and Stellar AstrophysicsDensity contrastAstrophysics - High Energy Astrophysical PhenomenaAnisotropyPhysics::Atmospheric and Oceanic PhysicsAstrophysics::Galaxy AstrophysicsAstronomy & Astrophysics
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Absorption by black hole remnants in metric-affine gravity

2019

Using numerical methods, we investigate the absorption properties of a family of nonsingular solutions {which arise in different metric-affine theories, such as quadratic and Born-Infeld gravity.} These solutions continuously interpolate between Schwarzschild black holes and naked solitons with wormhole topology. The resulting spectrum is characterized by a series of quasibound states excitations, associated with the existence of a stable photonsphere.

High Energy Astrophysical Phenomena (astro-ph.HE)PhysicsGravity (chemistry)Series (mathematics)010308 nuclear & particles physicsSpectrum (functional analysis)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyBlack holeGeneral Relativity and Quantum Cosmology0103 physical sciencesMetric (mathematics)Affine transformationWormhole010306 general physicsAstrophysics - High Energy Astrophysical PhenomenaSchwarzschild radiusMathematical physics
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ON THE DEFORMATION QUANTIZATION OF AFFINE ALGEBRAIC VARIETIES

2004

We compute an explicit algebraic deformation quantization for an affine Poisson variety described by an ideal in a polynomial ring, and inheriting its Poisson structure from the ambient space.

High Energy Physics - TheoryFunction field of an algebraic varietyMathematics::Commutative AlgebraGeneral MathematicsFOS: Physical sciencesFísicaAlgebraic varietyDimension of an algebraic varietyAlgebraic cycleAlgebraGröbner basisHigh Energy Physics - Theory (hep-th)DEFORMATION QUANTIZATIONMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)Affine transformationAffine varietyMathematicsSingular point of an algebraic varietyInternational Journal of Mathematics
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Real symplectic formulation of local special geometry

2006

We consider a formulation of local special geometry in terms of Darboux special coordinates $P^I=(p^i,q_i)$, $I=1,...,2n$. A general formula for the metric is obtained which is manifestly $\mathbf{Sp}(2n,\mathbb{R})$ covariant. Unlike the rigid case the metric is not given by the Hessian of the real function $S(P)$ which is the Legendre transform of the imaginary part of the holomorphic prepotential. Rather it is given by an expression that contains $S$, its Hessian and the conjugate momenta $S_I=\frac{\partial S}{\partial P^I}$. Only in the one-dimensional case ($n=1$) is the real (two-dimensional) metric proportional to the Hessian with an appropriate conformal factor.

High Energy Physics - TheoryHessian matrixPhysicsPure mathematicsNuclear and High Energy PhysicsHolomorphic functionFOS: Physical sciencesLegendre functionLegendre transformationsymbols.namesakeAssociated Legendre polynomialsHigh Energy Physics - Theory (hep-th)Real-valued functionMetric (mathematics)symbolsParticle Physics - TheorySymplectic geometryPhysics Letters B
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