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G.; Heath, J. R.; Skaggs, B. J. et alin Proceedings of the National Academy of Sciences of the United States of America (2010), 107Detailed reference viewed: 17 (0 ULg) Maximal entropy multivariate analysisRemacle, Françoise ; Arumugam, Rameshkumar; Levine, R. D.in Molecular Physics (2012), 110Detailed reference viewed: 15 (3 ULg) Maximal fidelity between symmetric multiqubit states and entanglement classesNeven, Antoine ; Mathonet, Pierre ; Gühne, Otfried et alPoster (2015, September)We present the results of our research concerning a conjecture about the maximal fidelity between a symmetric (permutation invariant) multiqubit state and the states belonging to a given entanglement ... [more ▼]We present the results of our research concerning a conjecture about the maximal fidelity between a symmetric (permutation invariant) multiqubit state and the states belonging to a given entanglement class. [less ▲]Detailed reference viewed: 52 (10 ULg) Maximal subalgebras of vector fields for equivariant quantizationsBoniver, Fabien; Mathonet, Pierre in Journal of Mathematical Physics (2001), 42(2), 582-589The elaboration of new quantization methods has recently developed the interest in the study of subalgebras of the Lie algebra of polynomial vector fields over a Euclidean space. In this framework, these ... [more ▼]The elaboration of new quantization methods has recently developed the interest in the study of subalgebras of the Lie algebra of polynomial vector fields over a Euclidean space. In this framework, these subalgebras define maximal equivariance conditions that one can impose on a linear bijection between observables that are polynomial in the momenta and differential operators. Here, we determine which finite dimensional graded Lie subalgebras are maximal. In order to characterize these, we make use of results of Guillemin, Singer, and Sternberg and Kobayashi and Nagano. [less ▲]Detailed reference viewed: 6 (1 ULg) Maximal Ventilation Assessment in Healthy CalvesBureau, Fabrice ; Coghe, J.; Uystepruyst, C. H. et alin Veterinary Journal (1999), 157(3), 309-314In order to define a reliable method for estimating maximal ventilation in cattle, 12 healthy calves underwent a rebreathing trial and injections of increasing doses of lobeline, a respiratory analeptic ... [more ▼]In order to define a reliable method for estimating maximal ventilation in cattle, 12 healthy calves underwent a rebreathing trial and injections of increasing doses of lobeline, a respiratory analeptic. The effects of these tests on the main ventilatory parameters (tidal volume, VT; respiratory frequency, fR and minute volume,.VE) recorded during the 15 s of maximal response were studied and compared. The sharp rise in.VE(4.8 times higher than the resting value) observed during the rebreathing trial was mainly due to an increase in VT. This rise in ventilation was the highest ever reported in calves. Lobeline dose-dependently enhanced ventilation up to a threshold dose of 0.25 mg/kg, which always produced a maximal response. This maximal response (3.7 times higher than the resting value), reflecting both an increase in fR and VT, was reproducible at an interval of 12 h and was highly correlated with that observed during the rebreathing trial (R = 0.98, P< 0.001). These results suggest that: (1) rebreathing trial is a reliable method to induce and measure maximal ventilation in calves; and (2) lobeline administration (0.25 mg/kg) is a reliable means of accurately estimating this variable. Lobeline administration, unlike the rebreathing trial, is safe and easy to standardize, and the test therefore seems to be the preferred way of studying maximal ventilation in calves. [less ▲]Detailed reference viewed: 10 (1 ULg) Maximal ventilation in calves : assessment and predictionBureau, Fabrice ; Coghe, J.; Uystepruyst, Ch et alin Proceedings: XX Congress of the World Association for Buiatrics (1998)Detailed reference viewed: 9 (2 ULg) Maximalisme poétique et poétique maximalisteDelville, Michel Scientific conference (2003, February 11)Detailed reference viewed: 10 (1 ULg) MAXIMIZATION OF PULL-IN VOLTAGE OF MICRO-ELECTROMECHANICAL STRUCTURES USING TOPOLOGY OPTIMIZATIONLemaire, Etienne ; Rochus, Véronique ; Fleury, Claude et alConference (2006)The design problem consists in maximizing the pull-in voltage using topology optimization method, which is formulated as an optimal material distribution. In addition to the classical volume constraint ... [more ▼]The design problem consists in maximizing the pull-in voltage using topology optimization method, which is formulated as an optimal material distribution. In addition to the classical volume constraint, different structural constraints could be taken into consideration. Sensitivity analysis is one of the key issues of the optimization process and is performed with the formulation of eigenvalue topology optimization problems. Here the paper investigates topology optimization of strongly coupled electromechanical systems. To avoid important modifications of the electric field by the optimization process, this first study considers a non design electrode and use topology optimization to design an optimal suspension structure. Solution procedure of the optimization problem is based on CONLIN optimizer using a sequential convex programming. This method that has proved its efficiency in many structural problems (sizing, shape) is here tailored to strongly coupled multiphysics design problems under consideration. The choice of appropriate explicit convex approximations schemes for multiphysic problems is investigated. The proposed method is illustrated and validated on microbeam optimization applications. [less ▲]Detailed reference viewed: 27 (2 ULg) The maximum deviation just-in-time scheduling problemBrauner, Nadia; Crama, Yves in Discrete Applied Mathematics (2004), 134(1-3), 25-50This note revisits the maximum deviation just-in-time (MDJIT) scheduling problem previously investigated by Steiner and Yeomans. Its main result is a set of algebraic necessary and sufficient conditions ... [more ▼]This note revisits the maximum deviation just-in-time (MDJIT) scheduling problem previously investigated by Steiner and Yeomans. Its main result is a set of algebraic necessary and sufficient conditions for the existence of a MDJIT schedule with a given objective function value. These conditions are used to provide a finer analysis of the complexity of the MDJIT problem. The note also investigates various special cases of the MDJIT problem and suggests several questions for further investigation. (C) 2003 Elsevier B.V. All rights reserved. [less ▲]Detailed reference viewed: 181 (5 ULg) Maximum entropy approach to the identification of stochastic reduced-order models of nonlinear dynamical systemsArnst, Maarten ; Ghanem, Roger; Masri, Samiin Aeronautical Journal (2010), 114(1160), 637-650Data-driven methodologies based on the restoring force method have been developed over the past few decades for building predictive reduced-order models (ROMs) of nonlinear dynamical systems. These ... [more ▼]Data-driven methodologies based on the restoring force method have been developed over the past few decades for building predictive reduced-order models (ROMs) of nonlinear dynamical systems. These methodologies involve fitting a polynomial expansion of the restoring force in the dominant state variables to observed states of the system. ROMs obtained in this way are usually prone to errors and uncertainties due to the approximate nature of the polynomial expansion and experimental limitations. We develop in this article a stochastic methodology that endows these errors and uncertainties with a probabilistic structure in order to obtain a quantitative description of the proximity between the ROM and the system that it purports to represent. Specifically, we propose an entropy maximization procedure for constructing a multi-variate probability distribution for the coefficients of power-series expansions of restoring forces. An illustration in stochastic aeroelastic stability analysis is provided to demonstrate the proposed framework. [less ▲]Detailed reference viewed: 52 (2 ULg) Maximum entropy at intermediate anthropogenic dynamicsVranken, Isabelle ; Bogaert, Jan in Jones, Bruce; Fu, Bojie (Eds.) The 8th World congress of the International Association of Landscape Ecology: Proceedings, Beijing, August 18-23, 2011 (2011, August 20)Landscape entropy represents heterogeneity within a landscape (Renyi, 1961; Bogaert et al., 2005). Previous researches found increasing values of entropy by studying a limited number of zones increasingly ... [more ▼]Landscape entropy represents heterogeneity within a landscape (Renyi, 1961; Bogaert et al., 2005). Previous researches found increasing values of entropy by studying a limited number of zones increasingly affected by anthropogenic effect (O’Neill et al., 1988; Bogaert et al., 2005). The present research aims to generalise the relationship between anthropogenic effect and landscape entropy, with a further goal of linking these concepts to overall biodiversity. 16 study zones from classified LANDSAT TM scenes and Africover maps presenting different anthropogenic effect intensities have been used (Djibu et al., 2008; Bamba et al., 2010; Barima et al., 2010; Munyemba, 2010; Vranken et al., 2011). Simpson's H diversity index based on class number has been used for entropy measurement (Renyi, 1961; Pielou, 1975; Shannon and Weaver, 1963). 1-H has been retained to get the relationship between the index and diversity directly proportional. For anthropogenic effect measurement, O’Neill’s U disturbance index, quotient between anthropogenic and natural areas, has been used (O’Neill et al., 1988). Log H has been retained to linearise the exponential relationship between the index and anthropogenic effect. Correlation between those variables has then been analysed. The scatter plot of the 16 study zones shows a Gaussian curve (Fig. 1) presenting maximal landscape entropy at intermediate anthropogenic effect. This distribution has been modelled by a second order polynomial regression with determination coefficient and significance. This phenomenon has been interpreted in terms of spatial transformation processes (Bogaert et al., 2004) and linked to the habitat heterogeneity hypothesis (Tews, 2004), as well as the intermediate disturbance hypothesis (Connell, 1978; Lindenmayer and Brugman, 2005). [less ▲]Detailed reference viewed: 43 (6 ULg) Maximum Entropy Kernels for System IdentificationCarli, Francesca Paola ; Chen, Tianshi; Ljung, Lennartin IEEE Transactions on Automatic Control (2016)Detailed reference viewed: 10 (1 ULg) Maximum entropy production: can it be used to constrain conceptual hydrological models?Westhoff, Martijn ; Zehe, E.in Hydrology and Earth System Sciences (2013), 17(8), 3141--3157This work builds on earlier work by Kleidon and Schymanski (2008) who explored the use of the maximum entropy production (MEP) principle for modeling hydrological systems. They illustrated that MEP can be ... [more ▼]This work builds on earlier work by Kleidon and Schymanski (2008) who explored the use of the maximum entropy production (MEP) principle for modeling hydrological systems. They illustrated that MEP can be used to determine the partitioning of soil water into runoff and evaporation—which determines hydroclimatic conditions around the Globe—by optimizing effective soil and canopy conductances in a way to maximize entropy production by these fluxes. In the present study, we show analytically that under their assumption of constant rainfall, the proposed principle always yields an optimum where the two conductances are equal, irrespective of rainfall rate, evaporative demand, or gravitational potential. Subsequently, we show that under periodic forcing or periodic variations in one resistance (e.g., vegetation seasonality), the optimal conductance does depend on climatic drivers such as the length of dry spells or the time of closure of stomata. [less ▲]Detailed reference viewed: 9 (1 ULg) Maximum entropy properties of discrete-time first-order stable spline kernelChen, Tianshi; Ardeshiri, Tohid; Carli, Francesca Paola et alin Automatica (2016), 66Detailed reference viewed: 50 (2 ULg) Maximum et minimum de la fonction $y=\frac{ax^{2}+bx+c}{a'x^{2}+b'x+c'}$Catalan, Eugène in Mathesis : Recueil Mathématique à l'Usage des Ecoles Spéciales et des Etablissements d'Instruction Moyenne (1882), 2Detailed reference viewed: 3 (0 ULg) Maximum likelihood characterization of distributionsDuerinckx, Mitia; Ley, Christophe; Swan, Yvik in Bernoulli (2014), 20(2), 775-802Detailed reference viewed: 22 (2 ULg)