547 research outputs found

    LNG_FEM: Generating graded meshes and solving elliptic equations on 2-D domains of polygonal structures

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    Li, Hengguang; Nistor, Victor. (2007). LNG_FEM: Generating graded meshes and solving elliptic equations on 2-D domains of polygonal structures. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/5382

    Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition

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    In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary and edge differential operators. The example of the Bruhat sphere is studied in detail. In particular, we construct an extension to the calculus of uniformly supported pseudo-differential operators that is analogous to the calculus with bounds defined on manifolds with boundary. We derive a Fredholmness criterion for operators on the Bruhat sphere, and prove that their parametrices up to compact operators lie inside the extended calculus; we construct the heat kernel of perturbed Laplacian operators; and prove an Atiyah-Singer type renormalized index formula for perturbed Dirac operators on the Bruhat sphere using the heat kernel method

    A regularity result for the bound states of NN-body Schr\"odinger operators: Blow-ups and Lie manifolds

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    We prove regularity estimates in weighted Sobolev spaces for the L2L^2-eigenfunctions of Schr\"odinger type operators whose potentials have inverse square singularities and uniform radial limits at infinity. In particular, the usual NN-body Hamiltonians with Coulomb-type singular potentials are covered by our result: in that case, the weight is δF(x):=min{d(x,F),1}\delta_{\mathcal{F}}(x) := \min \{ d(x, \bigcup \mathcal{F}), 1\}, where d(x,F)d(x, \bigcup \mathcal{F}) is the usual euclidean distance to the union F\bigcup\mathcal{F} of the set of collision planes F\bigcup\mathcal{F}. The proof is based on blow-ups of manifolds with corners and Lie manifolds. More precisely, we start with the radial compactification X\overline{X} of the underlying space XX and we first blow-up the spheres SYSX\mathbb{S}_Y \subset \mathbb{S}_X at infinity of the collision planes YFY \in \bigcup\mathcal{F} to obtain the Georgescu-Vasy compactification. Then we blow-up the collision planes F\bigcup\mathcal{F}. We carefully investigate how the Lie manifold structure and the associated data (metric, Sobolev spaces, differential operators) change with each blow-up. Our method applies also to higher order differential operators, to certain classes of pseudodifferential operators, and to matrices of scalar operators.Comment: Small changes, last preprint version before sending to publisher. Appendices D and E only in preprint version, not publishe

    Studiu privind posibilitatea implementarii balance scorecard-ului in universitati

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    Balanced Scorecard is a new control tool in public entities, especially in universities. The aim of this paper is to analyze the possibility of implementation in Romanian universities. At an international level, this concept was used at the beginning by the private sector, followed by its usage by the public sector as well. In universities of the Anglo – Saxon states, there have been debates on the subject for a long period of time in relation to the opportunity of introducing this concept; these debates have been supported by pro and against arguments. At a national level, this concept is virtually unknown in the higher education state institution system. Through the present paper, we would like to test the opportunity of introducing the concept starting from the identification at a global level of the conditions and regulations specific to the Balanced Scorecard (BSC) concept. Our results will present the first overview of this new subject, which is not yet developed in Romania.Balanced Scorecard Concept, Public University, Managerial Accounting

    "On Approximation of the Solutions to Partial Differential Equations in Finance"

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    This paper proposes a general approximation method for the solutions to second-order parabolic partial differential equations (PDEs) widely used in finance through an extension of Léandre's approach(Léandre (2006,2008)) and the Bismut identiy(e.g. chapter IX-7 of Malliavin (1997)) in Malliavin calculus. We show two types of its applications, new approximations of derivatives prices and short-time asymptotic expansions of the heat kernel. In particular, we provide new approximation formulas for plain-vanilla and barrier option prices under stochastic volatility models. We also derive short-time asymptotic expansions of the heat kernel under general time-homogenous local volatility and local-stochastic volatility models in finance which include Heston (Heston (1993)) and (λ-)SABR models (Hagan et.al. (2002), Labordere (2008)) as special cases. Some numerical examples are shown.

    Deep cranial epigastric artery perforator flap planning in pigs.

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    (A) DCEAPf planning between the 2nd and 4th nipple line, centered on the deep cranial epigastric artery (DCEA) and including the medial and lateral row of skin perforators. ITA–internal thoracic artery; SCEV–superficial cranial epigastric vein; DIEA–deep inferior epigastric artery. (B) Dissection of lateral row of perforators. (C) Dissection of medial row perforators. Dotted line marks the incision along the anterior rectus muscle sheet. (D) Epigastric artery dissected and transected distal to the skeletonized perforators, with no sign of vessel spasm. Republished from personal archive under a CC BY license, with permission from Dr. Nistor Alexandru, original copyright 2016.</p

    Valutare la vulnerabilità dei corpi idrici a scala locale

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    Il progetto il progetto ha lo scopo di valutare la vulnerabilità delle risorse idriche potabili in funzione del cambiamento climatico e delle variazioni degli aspetti socio-economici della zona montana dell’Appennino della Regione Emilia Romagna. Tale vulnerabilità è intesa sia in termini quantitativi, come la disponibilità futura della risorsa idropotabile, che in termini qualitativi, intesa come futura potabilità della risorsa stessa. Inoltre il progetto ha lo scopo di valutare la funzione dei servizi ecosistemici relativamente all’azione mitigatrice della vulnerabilità della risorsa idrica sotterranea e di fornire linee guida per una corretta regolamentazione dell’uso del suolo nelle zone di ricarica dei corpi idrici sotterranei in zone montane

    Incorporating the Basic Elements of a First-degree Fuzzy Logic and Certain Elments of Temporal Logic for Dynamic Management Applications

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    The approximate reasoning is perceived as a derivation of new formulas with the corresponding temporal attributes, within a fuzzy theory defined by the fuzzy set of special axioms. For dynamic management applications, the reasoning is evolutionary because of unexpected events which may change the state of the expert system. In this kind of situations it is necessary to elaborate certain mechanisms in order to maintain the coherence of the obtained conclusions, to figure out their degree of reliability and the time domain for which these are true. These last aspects stand as possible further directions of development at a basic logic level. The purpose of this paper is to characterise an extended fuzzy logic system with modal operators, attained by incorporating the basic elements of a first-degree fuzzy logic and certain elements of temporal logic.Dynamic Management Applications, Fuzzy Reasoning, Formalization, Time Restrictions, Modal Operators, Real-Time Expert Decision System (RTEDS)

    Should patients with CKD stage 5D and biochemical evidence of secondary hyperparathyroidism be prescribed calcimimetic therapy? An ERA-EDTA position statement

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    This paper reflects the position of the CKD-MBD workgroup, an official working group of ERA-EDTA and of the ERBP advisory board, the official guideline-producing body of ERA-EDTA, on the topic of the use of calcimimetics in patients with CKD stage 5D, as based on two recent meta-analysis
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