Search results for "Versa"

showing 10 items of 1490 documents

Silicon quantum point contact with aluminum gate

2000

Fabrication and electrical properties of silicon quantum point contacts are reported. The devices are fabricated on bonded silicon on insulator (SOI) wafers by combining CMOS process steps and e-beam lithography. Mobility of 9000 cm2 Vs−1 is measured for a 60 nm-thick SOI film at 10 K. Weak localization data is used to estimate the phase coherence length at 4.2 K The point contacts show step like behaviour in linear response conductance at 1.5 K. At 200 mK universal conductance fluctuations begin to dominate the conductance curve. The effective diameter of quantum point constrictions of the devices are estimated to be 30–40 nm. This estimate is based on TEM analysis of test structures and A…

Materials scienceSiliconCondensed matter physicsMechanical EngineeringQuantum point contactSilicon on insulatorchemistry.chemical_elementConductanceCondensed Matter PhysicsWeak localizationchemistryMechanics of MaterialsGeneral Materials ScienceWaferLithographyUniversal conductance fluctuationsMaterials Science and Engineering B: Solid-State Materials for Advanced Technology
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Half-metallic compensated ferrimagnetism with a tunable compensation point over a wide temperature range in the Mn-Fe-V-Al Heusler system

2017

The cubic Heusler compound Mn1.5FeV0.5Al with the L21 Heusler structure is the first fully compensated half-metallic ferrimagnet with 24 valence electrons. The ferrimagnetic state can be tuned by changing the composition such that the compensation point appears at finite temperatures ranging from 0 K up to 226 K, while retaining half-metallicity in the system. In this paper, the structural, magnetic and transport properties of the Mn-Fe-V-Al system are discussed. Magnetic reversal and a change of sign of the anomalous Hall effect were observed at the compensation point, which gives rise to a sublattice spin-crossing. These materials present new possibilities for potential spintronic devices…

Materials scienceSpintronicsCondensed matter physicsGeneral Physics and Astronomy02 engineering and technologyengineering.materialAtmospheric temperature range021001 nanoscience & nanotechnologyHeusler compound01 natural scienceslcsh:QC1-999Compensation (engineering)Geomagnetic reversalCondensed Matter::Materials ScienceHall effectFerrimagnetism0103 physical sciencesengineeringCondensed Matter::Strongly Correlated Electrons010306 general physics0210 nano-technologyValence electronlcsh:PhysicsAIP Advances
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In vivo morphological and clinical effects of a desensitizing agent

2010

Objectives: This study evaluated the in vivo effectiveness of Universal Dentin Sealant (UDS), a new resin-based material, as dentinal desensitizing agent on dentin morphology and clinical symptoms. Materials and methods: Thirty premolars, exhibiting non-carious cervical lesions, and scheduled for extraction for periodontal reasons, were selected for the ultrastructural study. These samples were randomly divided into three groups ( n = 10): group 1, brushing with UDS; group 2, brushing with Flor-Opal ® Varnish (FOV); and group 3, untreated control. After 7 days, teeth were extracted and samples processed for SEM and TEM comparative observations. The in vivo study was carried out on 90 teeth …

Materials sciencebusiness.industryDentistryCold airstomatognathic diseasesin vivo desensitizing agentmedicine.anatomical_structurestomatognathic systemMechanics of MaterialsUntreated controlIn vivoSettore MED/28 - Malattie OdontostomatologicheAssessment methodsOcclusionDentinmedicineGeneral Materials SciencePorous layerbusinessGeneral DentistryUniversal dentin sealant
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Universality for the breakup of invariant tori in Hamiltonian flows

1998

In this article, we describe a new renormalization-group scheme for analyzing the breakup of invariant tori for Hamiltonian systems with two degrees of freedom. The transformation, which acts on Hamiltonians that are quadratic in the action variables, combines a rescaling of phase space and a partial elimination of irrelevant (non-resonant) frequencies. It is implemented numerically for the case applying to golden invariant tori. We find a nontrivial fixed point and compute the corresponding scaling and critical indices. If one compares flows to maps in the canonical way, our results are consistent with existing data on the breakup of golden invariant circles for area-preserving maps.

Mathematical analysisFOS: Physical sciencesFixed pointNonlinear Sciences - Chaotic DynamicsBreakup01 natural sciences010305 fluids & plasmasUniversality (dynamical systems)Hamiltonian systemsymbols.namesakeQuadratic equationPhase space0103 physical sciencessymbolsChaotic Dynamics (nlin.CD)010306 general physicsHamiltonian (quantum mechanics)ScalingMathematical physicsMathematicsPhysical Review E
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A Proximal Solution for a Class of Extended Minimax Location Problem

2005

We propose a proximal approach for solving a wide class of minimax location problems which in particular contains the round trip location problem. We show that a suitable reformulation of the problem allows to construct a Fenchel duality scheme the primal-dual optimality conditions of which can be solved by a proximal algorithm. This approach permits to solve problems for which distances are measured by mixed norms or gauges and to handle a large variety of convex constraints. Several numerical results are presented.

Mathematical optimizationClass (set theory)Optimality criterionComputer scienceScheme (mathematics)1-center problemRegular polygonMinimax problemConstruct (python library)Variety (universal algebra)Minimax
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On Optimal Solutions for the Optimal Communication Spanning Tree Problem

2009

This paper presents an experimental investigation into the properties of the optimal communication spanning tree (OCST) problem. The OCST problem seeks a spanning tree that connects all the nodes and satisfies their communication requirements at a minimum total cost. The paper compares the properties of random trees to the properties of the best solutions for the OCST problem that are found using an evolutionary algorithm. The results show, on average, that the optimal solution and the minimum spanning tree (MST) share a higher number of links than the optimal solution and a random tree. Furthermore, optimal solutions for OCST problems with randomly chosen distance weights share a higher n…

Mathematical optimizationSpanning treebusiness.industryManagement Science and Operations ResearchMinimum spanning treeSearch treeComputer Science ApplicationsTree traversalRandom treeCombinatorial optimizationLocal search (optimization)businessGreedy algorithmAlgorithmMathematicsOperations Research
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Inverse problems for elliptic equations with power type nonlinearities

2021

We introduce a method for solving Calder\'on type inverse problems for semilinear equations with power type nonlinearities. The method is based on higher order linearizations, and it allows one to solve inverse problems for certain nonlinear equations in cases where the solution for a corresponding linear equation is not known. Assuming the knowledge of a nonlinear Dirichlet-to-Neumann map, we determine both a potential and a conformal manifold simultaneously in dimension $2$, and a potential on transversally anisotropic manifolds in dimensions $n \geq 3$. In the Euclidean case, we show that one can solve the Calder\'on problem for certain semilinear equations in a surprisingly simple way w…

Mathematics - Differential GeometryGLOBAL UNIQUENESSGeneral MathematicsConformal mapCALDERON PROBLEMTransversally anisotropic01 natural sciencesinversio-ongelmatMathematics - Analysis of PDEsSimple (abstract algebra)Euclidean geometryFOS: Mathematics111 MathematicsApplied mathematics0101 mathematicsMathematicsInverse boundary value problemosittaisdifferentiaaliyhtälötCalderón problemGeometrical opticsSemilinear equationApplied Mathematics010102 general mathematicstransversally anisotropicInverse problemManifold010101 applied mathematicssemilinear equationNonlinear systemDifferential Geometry (math.DG)inverse boundary value problemLinear equationAnalysis of PDEs (math.AP)Journal de Mathématiques Pures et Appliquées
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The Calderon problem in transversally anisotropic geometries

2016

We consider the anisotropic Calderon problem of recovering a conductivity matrix or a Riemannian metric from electrical boundary measurements in three and higher dimensions. In the earlier work \cite{DKSaU}, it was shown that a metric in a fixed conformal class is uniquely determined by boundary measurements under two conditions: (1) the metric is conformally transversally anisotropic (CTA), and (2) the transversal manifold is simple. In this paper we will consider geometries satisfying (1) but not (2). The first main result states that the boundary measurements uniquely determine a mixed Fourier transform / attenuated geodesic ray transform (or integral against a more general semiclassical…

Mathematics - Differential GeometryGeodesicGeneral MathematicsBoundary (topology)Conformal map01 natural sciencessymbols.namesakeMathematics - Analysis of PDEsFOS: Mathematics[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]0101 mathematicsMathematicsCalderón problemRiemannian manifoldApplied Mathematicsta111010102 general mathematicsMathematical analysiscomplex geometrical optics solutionInverse problemRiemannian manifold010101 applied mathematicsboundary control methodFourier transformDifferential Geometry (math.DG)Transversal (combinatorics)Metric (mathematics)symbolsinverse boundary value problemAnalysis of PDEs (math.AP)
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The Linearized Calderón Problem in Transversally Anisotropic Geometries

2017

In this article we study the linearized anisotropic Calderon problem. In a compact manifold with boundary, this problem amounts to showing that products of harmonic functions form a complete set. Assuming that the manifold is transversally anisotropic, we show that the boundary measurements determine an FBI type transform at certain points in the transversal manifold. This leads to recovery of transversal singularities in the linearized problem. The method requires a geometric condition on the transversal manifold related to pairs of intersecting geodesics, but it does not involve the geodesic X-ray transform which has limited earlier results on this problem.

Mathematics - Differential GeometryGeodesicGeneral MathematicsNEUMANN MAPBoundary (topology)Type (model theory)01 natural scienceslaw.inventionMathematics - Analysis of PDEslinearized anisotropic Calderón problemlaw35R30 35J25111 MathematicsFOS: Mathematics0101 mathematicsMathematics010102 general mathematicsMathematical analysisInverse problem010101 applied mathematicsHarmonic functionDifferential Geometry (math.DG)Transversal (combinatorics)Gravitational singularityMathematics::Differential GeometryINVERSE PROBLEMManifold (fluid mechanics)Analysis of PDEs (math.AP)
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Algebraicity of analytic maps to a hyperbolic variety

2018

Let $X$ be an algebraic variety over $\mathbb{C}$. We say that $X$ is Borel hyperbolic if, for every finite type reduced scheme $S$ over $\mathbb{C}$, every holomorphic map $S^{an}\to X^{an}$ is algebraic. We use a transcendental specialization technique to prove that $X$ is Borel hyperbolic if and only if, for every smooth affine curve $C$ over $\mathbb{C}$, every holomorphic map $C^{an}\to X^{an}$ is algebraic. We use the latter result to prove that Borel hyperbolicity shares many common features with other notions of hyperbolicity such as Kobayashi hyperbolicity.

Mathematics - Differential GeometryPure mathematicsMathematics::Dynamical SystemsGeneral Mathematics010102 general mathematicsHolomorphic functionAlgebraic varietyType (model theory)01 natural sciencesMathematics::Geometric Topology010101 applied mathematicsMathematics - Algebraic GeometryDifferential Geometry (math.DG)Scheme (mathematics)FOS: MathematicsAffine transformationTranscendental number0101 mathematicsVariety (universal algebra)Algebraic numberAlgebraic Geometry (math.AG)32Q45Mathematics
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