503 research outputs found

    Decay properties of spectral projectors with applications to electronic structure

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    Motivated by applications in quantum chemistry and solid state physics, we apply general results from approximation theory and matrix analysis to the study of the decay properties of spectral projectors associated with large and sparse Hermitian matrices. Our theory leads to a rigorous proof of the exponential off-diagonal decay ("nearsightedness") for the density matrix of gapped systems at zero electronic temperature in both orthogonal and non-orthogonal representations, thus providing a firm theoretical basis for the possibility of linear scaling methods in electronic structure calculations for non-metallic systems. We further discuss the case of density matrices for metallic systems at positive electronic temperature. A few other possible applications are also discussed.Comment: 63 pages, 13 figure

    Effet de l'irrigation déficitaire contrôlée sur la croissance et le développement foliaire du palmier dattier (Phoenix dactylifera L.)

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    L'eau est un facteur limitant pour le développement de l'agriculture oasienne. L'amélioration de son efficience d'utilisation est donc nécessaire et peut passer par des stratégies d'irrigation déficitaire. La réponse du palmier dattier à de telles stratégies a ainsi été évaluée par l'étude expérimentale de leurs effets sur la croissance végétative des palmiers adultes de la variété Majhoul. L'expérimentation a été conduite au Tafilalet (Maroc) pendant deux années consécutives (mars 2012-février 2014). Le cycle annuel de la croissance et du développement de cette variété a été découpé en trois périodes distinctes : la première de novembre à février, la seconde de mars à juin et la dernière de juillet à octobre. Pendant ces périodes, sept régimes hydriques ont été appliqués sous irrigation localisée : régime agriculteur (T0), 100 % évapotranspiration maximale [ETM] (T1), 80 % (T2), 60 % (T3), 80–100–60 % (T4), 150 % (T5) et 60–100–80 % (T6). Les mesures ont porté sur le suivi des paramètres météorologiques, les apports d'eau et l'évolution de la biomasse végétative (émission, croissance et sénescence des palmes, et le suivi de l'indice foliaire). Les résultats obtenus montrent que : le régime hydrique et la périodisation affectent significativement la phénologie du palmier dattier en deuxième année d'expérimentation ; les apports en eau d'irrigation correspondant à l'ETM sont en moyenne de 51 m3/pied/an, variables entre 30 et 76 m3/pied/an ; le T6, l'irrigation déficitaire régulée à 60–100–80 % de l'ETM selon les saisons, a amélioré la productivité végétative du palmier et a permis la conservation de 14 % de l'eau d'irrigation comparativement au T1. La stratégie de l'irrigation déficitaire régulée pourrait donc contribuer à la rationalisation de l'eau et à la durabilité des oasis. (Résumé d'auteur

    The derivation of performance expressions for communication protocols from timed Petri net models

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    Petri Net models have been extended in a variety of ways and have been used to prove the correctness and evaluate the performance of communication protocols. Several extensions have been proposed to model time. This work uses a form of Timed Petri Nets and presents a technique for symbolically deriving expressions which describe system performance. Unlike past work on performance evaluation of Petri Nets which assumes a priori knowledge of specific time delays, the technique presented here applies to a wide range of time delays so long as the delays satisfy a set of timing constraints. The technique is demonstrated using a simple communication protocol

    Dosage calculation for intravenous thrombolysis of ischemic stroke: to weigh or to estimate?

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    Background: Estimation is a widely used method of assessing the weight of patients with acute stroke. Because the dosage of tissue plasminogen activator (tPA) is weight-dependent, errors in estimation lead to incorrect dosing. Methods: We installed a ground-level scale in the computed tomography (CT) suite of our hospital and also integrated a scale into the CT table of our Mobile Stroke Unit in order to prospectively assess the differences between reported, estimated, and measured weights of acute stroke patients. An independent rater asked patients to report their weight. The patients’ weights were also estimated by the treating physician and measured with a scale. Differences between reported, estimated, and measured weights were analyzed statistically. Results: For 100 consecutive patients, weighing was possible without treatment delays. Weights estimated by the physician diverged from measured weights by 10% or more for 27 patients and by 20% or more for 6 patients. Weights reported by the patient diverged from measured weights by 10% or more for 12 patients. Weights reported by the patients differed significantly less from measured weights (mean, 4.1 ± 3.1 kg) than did weights estimated by the physician (5.7 ± 4.4 kg; p = 0.003). Conclusion: This first prospective study of weight assessment in acute stroke shows that the use of an easily accessible scale makes it feasible to weigh patients with acute stroke without the treatment delay associated with additional patient transfers. Physicians’ estimates of patients’ weights demonstrated substantial aberrations from measured weights. Avoiding these deviations would improve the accuracy of tPA dosag
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