934 resultados para Mixed Type Equations


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Screening of topologies developed by hierarchical heuristic procedures can be carried out by comparing their optimal performance. In this work we will be exploiting mono-objective process optimization using two algorithms, simulated annealing and tabu search, and four different objective functions: two of the net present value type, one of them including environmental costs and two of the global potential impact type. The hydrodealkylation of toluene to produce benzene was used as case study, considering five topologies with different complexities mainly obtained by including or not liquid recycling and heat integration. The performance of the algorithms together with the objective functions was observed, analyzed and discussed from various perspectives: average deviation of results for each algorithm, capacity for producing high purity product, screening of topologies, objective functions robustness in screening of topologies, trade-offs between economic and environmental type objective functions and variability of optimum solutions.

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Solving systems of nonlinear equations is a very important task since the problems emerge mostly through the mathematical modelling of real problems that arise naturally in many branches of engineering and in the physical sciences. The problem can be naturally reformulated as a global optimization problem. In this paper, we show that a self-adaptive combination of a metaheuristic with a classical local search method is able to converge to some difficult problems that are not solved by Newton-type methods.

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Memory Mixed with Desire: A preliminary study of Philosophy and Literature in the works of Friedrich Nietzsche and Milan Kundera Robert Spinelli Brock University, Department of Philosophy This thesis studies intertextuality in the works of Friedrich Nietzsche and Milan Kundera through the primary themes of memory and forgetting. The thesis starts with two introductory chapters that delineate memory according to Nietzsche and Kundera respectively. From here, I move into a discussion of Nietzsche's Ubermensch as an example of the type of forgetting that Nietzsche sees as a cure for the overabundance of memory that has led to Christian morality. Next, I explore the Kunderan concept of kitsch as the polar opposite of what Nietzsche has sought in his philosophy, finishing the chapter by tying the two thinkers together in a Kunderan critique of Nietzsche. The thesis ends with a chapter devoted to the Eternal Return beginning with an exegesis of Nietzsche's idea and ending with a similar exegesis of Kundera's treatment of this thought. What I suggest in this chapter is that the Eternal Return might itself be a form of kitsch even in its attempt to revalue existence.

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Presently non-commercial occurrences of Mississippi Valley-type ore assemblages in the Middle Silurian strata of the Niagara Peninsula have been studied. Based on this detailed study, a new poly-stage genetic model is proposed which relates ore mineralization in carbonate environments to the evolution of the sedimentary basin. Sulphide ore mineralization occurred during two episodes: 1. During the late diagenesis stage, which is characterized by compaction-maturation of the sediments, the initial mineralization took place by upward and outward movement of connate waters. Metals were probably supplied from all the sediments regardless of their specific lithologies. However, clay minerals were possibly the main contributors. The possible source of sulphur was from petroleum-type hydrocarbons presently mixed with the sediments at the site of ore deposition. Evidence for this is the fact that the greatest abundance of ore minerals is in petroliferous carbonates. The hydrocarbons probably represent liquids remaining after upward migration to the overlying Guelph-Salina reservoirs. The majority of sphalerite and galena formed during this period, as well as accessory pyrite, marcasite, chalcopyrite, chalcocite, arsenopyrite, and pyrrhotite; and secondary dolomite, calcite, celestite, and gypsum. 2. During the presently ongoing surface erosion and weathering phase, which is marked by the downward movement of groundwater, preexisting sulphides were probably remobilized, and trace amounts of lead and zinc were leached from the host material, by groundwaters. Metal sulphides precipitated at, or below, the water table, or where atmospheric oxygen could raise the Eh of groundwaters to the point where soluble metal complexes are unstable and native sulphur co-precipitates with sphalerite and galena. This process, which can be observed today, also results in the transport and deposition of the host rock material. Breakdown of pre-existing sulphide and sulphate, as well as hydrocarbon present in the host rock, provided sulphur necessary for sulphide precipitation. The galena and sphalerite are accompanied by dolomite, calcite, gypsum, anglesite, native sulphur and possibly zincite.

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Dans ce travail, nous adaptons la méthode des symétries conditionnelles afin de construire des solutions exprimées en termes des invariants de Riemann. Dans ce contexte, nous considérons des systèmes non elliptiques quasilinéaires homogènes (de type hydrodynamique) du premier ordre d'équations aux dérivées partielles multidimensionnelles. Nous décrivons en détail les conditions nécessaires et suffisantes pour garantir l'existence locale de ce type de solution. Nous étudions les relations entre la structure des éléments intégraux et la possibilité de construire certaines classes de solutions de rang k. Ces classes de solutions incluent les superpositions non linéaires d'ondes de Riemann ainsi que les solutions multisolitoniques. Nous généralisons cette méthode aux systèmes non homogènes quasilinéaires et non elliptiques du premier ordre. Ces méthodes sont appliquées aux équations de la dynamique des fluides en (3+1) dimensions modélisant le flot d'un fluide isentropique. De nouvelles classes de solutions de rang 2 et 3 sont construites et elles incluent des solutions double- et triple-solitoniques. De nouveaux phénomènes non linéaires et linéaires sont établis pour la superposition des ondes de Riemann. Finalement, nous discutons de certains aspects concernant la construction de solutions de rang 2 pour l'équation de Kadomtsev-Petviashvili sans dispersion.

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Introduction : La présente étude explore pour la première fois en Afrique, l'association entre l'exposition aux pesticides organochlorés (POC) et le risque de diabète de type 2. L’étude se déroule dans la région du Borgou, au nord du Bénin, où l’utilisation intense de pesticides pour la culture du coton coïncide avec une prévalence élevée du diabète par rapport aux autres régions du pays. Objectifs: 1) Décrire le niveau d’exposition de la population des diabétiques et non diabétiques du Borgou par le taux sérique de certains pesticides organochlorés ; 2) Explorer la relation entre le risque de diabète de type 2 et les concentrations sériques des POC; 3) Examiner l’association entre l’obésité globale, le pourcentage de masse grasse et l’obésité abdominale avec les concentrations sériques des POC; 4) Explorer la contribution de certaines sources d’exposition alimentaire et non-alimentaire aux concentrations sériques des POC. Méthodes : Il s'agit d'une étude cas-témoin qui concerne 258 adultes de 18 à 65 ans identifiés par deux valeurs glycémiques capillaire et veineuse au seuil de 7 mmol/l pour les diabétiques et 5,6mmol/l pour les témoins non diabétiques. Les 129 témoins ont été appariés aux 129 cas selon les critères suivants : l’ethnie, l’âge ± 5ans, le sexe et la localité de résidence. Les informations personnelles et celles portant sur les modes d’exposition ont été recueillies par questionnaire. Les concentrations sériques des POC ont été obtenues par chromatographie gazeuse couplée d’une spectrométrie de masse. L’obésité globale est déterminée par l’IMC ≥ 30 kg/m2. L’obésité abdominale est obtenue par le tour de taille selon les critères consensuels d’Alberti et al. pour la définition du syndrome métabolique. Le pourcentage de masse corporelle a été mesuré par bio-impédance électrique et été considéré comme élevé au seuil de 33% chez les femmes et 25% chez les hommes. Résultats: En comparant les 3ème et premier terciles des concentrations de p,p’-DDE et p,p’-DDT, les sujets du 3e tercile étaient deux à trois fois plus susceptibles de présenter du diabète que ceux du 1er tercile. La probabilité d’obésité abdominale ou de l’obésité générale (en contrôlant pour le statut diabétique) était accrue de trois à cinq fois dans le dernier tercile pour trois des quatre POC qui étaient détectables soit p,p’-DDT, β-HCH et trans-Nonachlore. Les facteurs socioéconomiques associés aux POC sériques sont le niveau d’éducation élevé, un meilleur revenu et la résidence en milieu urbain. Les sources d’exposition non alimentaire significativement associées aux concentrations sériques de POC étaient l’exposition professionnelle mixte (primaire et secondaire) aux pesticides et la consommation de tabac local. L’achat en opposition à l’autoproduction de plusieurs groupes de denrées alimentaire était associé à de plus fortes teneurs de POC. La fréquence de consommation hebdomadaire du poisson, des légumes, du fromage, de l’igname séchée ainsi que du mil, de l’huile de palme et de certaines légumineuses comme le soya, le néré, le niébé et le voandzou était significativement associées aux POC sériques. Conclusion : L’étude a mis en évidence la relation entre le niveau sérique de pesticides organochlorés d’une part, du diabète ou de l’obésité d’autre part. Les concentrations de POC observées au Borgou sont assez élevées et méritent d’être suivies et comparées à celles d’autres régions du pays. Les facteurs contribuant à ces teneurs élevées sont le niveau d’éducation élevé, un meilleur revenu, la résidence en milieu urbain, l’achat et la fréquence de consommation de plusieurs aliments. La contribution du mélange des polluants auxquels les habitants de cette région sont exposés à la prévalence croissante du diabète mérite d’être examinée, notamment les pesticides utilisés actuellement dans la région pour les productions de rente et autres polluants persistants. Ces résultats contribuent à accroître les connaissances sur les facteurs de risque émergents pour le diabète que sont des polluants environnementaux comme les pesticides. Les implications pour la santé publique sont importantes tant pour la prévention des maladies chroniques que pour la sensibilisation des autorités politiques du pays pour une politique agricole et sanitaire adéquate visant la réduction de l’exposition aux pesticides.

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Cette thèse est divisée en trois chapitres. Le premier explique comment utiliser la méthode «level-set» de manière rigoureuse pour faire la simulation de feux de forêt en utilisant comme modèle physique pour la propagation le modèle de l'ellipse de Richards. Le second présente un nouveau schéma semi-implicite avec une preuve de convergence pour la solution d'une équation de type Hamilton-Jacobi anisotrope. L'avantage principal de cette méthode est qu'elle permet de réutiliser des solutions à des problèmes «proches» pour accélérer le calcul. Une autre application de ce schéma est l'homogénéisation. Le troisième chapitre montre comment utiliser les méthodes numériques des deux premiers chapitres pour étudier l'influence de variations à petites échelles dans la vitesse du vent sur la propagation d'un feu de forêt à l'aide de la théorie de l'homogénéisation.

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Thèse réalisée en cotutelle entre Aix-Marseille Université et l'Université de Montréal

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Usually typical dynamical systems are non integrable. But few systems of practical interest are integrable. The soliton concept is a sophisticated mathematical construct based on the integrability of a class ol' nonlinear differential equations. An important feature in the clevelopment. of the theory of solitons and of complete integrability has been the interplay between mathematics and physics. Every integrable system has a lo11g list of special properties that hold for integrable equations and only for them. Actually there is no specific definition for integrability that is suitable for all cases. .There exist several integrable partial clillerential equations( pdes) which can be derived using physically meaningful asymptotic teclmiques from a very large class of pdes. It has been established that many 110nlinear wa.ve equations have solutions of the soliton type and the theory of solitons has found applications in many areas of science. Among these, well-known equations are Korteweg de-Vries(KdV), modified KclV, Nonlinear Schr6dinger(NLS), sine Gordon(SG) etc..These are completely integrable systems. Since a small change in the governing nonlinear prle may cause the destruction of the integrability of the system, it is interesting to study the effect of small perturbations in these equations. This is the motivation of the present work.

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Polycrystalline single phasic mixed ferrites belonging to the series Ni1−xZnxFe2O4 for various values of x have been prepared by conventional ceramic techniques. Pre-characterized nickel zinc ferrites were then incorporated into a natural rubber matrix according to a specific recipe for various loadings. The processability and cure parameters were then determined. The magnetic properties of the ceramic filler as well as the ferrite loaded rubber ferrite composites (RFC) were evaluated and compared. A general equation for predicting the magnetic properties was also formulated. The validity of these equations were then checked and correlated with the experimental data. The coercivity of the RFCs almost resemble that of the ceramic component in the RFC. Percolation threshold is not reached for a maximum loading of 120 phr (parts per hundred rubber by weight) of the filler. These studies indicate that flexible magnets can be made with appropriate magnetic properties namely saturation magnetisation (Ms) and magnetic field strength (Hc) by a judicious choice of x and a corresponding loading. These studies also suggest that there is no possible interaction between the filler and the matrix at least at the macroscopic level. The formulated equation will aid in synthesizing RFCs with predetermined magnetic

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Rubber ferrite composites containing various mixed ferrites were prepared for different compositions and various loadings. The magnetic and dielectric properties of the fillers as well as the ferrite filled matrixes were evaluated separately. The results are correlated. Simple equations are proposed to predetermine the magnetic and dielectric properties. The validity of these equations is verified and they are found to be in good agreement. These equations are useful in tailoring the magnetic and dielectric properties of these composites with predetermined properties

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Knowledge discovery in databases is the non-trivial process of identifying valid, novel potentially useful and ultimately understandable patterns from data. The term Data mining refers to the process which does the exploratory analysis on the data and builds some model on the data. To infer patterns from data, data mining involves different approaches like association rule mining, classification techniques or clustering techniques. Among the many data mining techniques, clustering plays a major role, since it helps to group the related data for assessing properties and drawing conclusions. Most of the clustering algorithms act on a dataset with uniform format, since the similarity or dissimilarity between the data points is a significant factor in finding out the clusters. If a dataset consists of mixed attributes, i.e. a combination of numerical and categorical variables, a preferred approach is to convert different formats into a uniform format. The research study explores the various techniques to convert the mixed data sets to a numerical equivalent, so as to make it equipped for applying the statistical and similar algorithms. The results of clustering mixed category data after conversion to numeric data type have been demonstrated using a crime data set. The thesis also proposes an extension to the well known algorithm for handling mixed data types, to deal with data sets having only categorical data. The proposed conversion has been validated on a data set corresponding to breast cancer. Moreover, another issue with the clustering process is the visualization of output. Different geometric techniques like scatter plot, or projection plots are available, but none of the techniques display the result projecting the whole database but rather demonstrate attribute-pair wise analysis

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In this work, we present a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type s(x)y"n(x) + t(x)y'n(x) - lnyn(x) = 0 and show that all the three classical orthogonal polynomial families as well as three finite orthogonal polynomial families, extracted from this equation, can be identified as special cases of this derived polynomial sequence. Some general properties of this sequence are also given.

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The main aim of this paper is the development of suitable bases (replacing the power basis x^n (n\in\IN_\le 0) which enable the direct series representation of orthogonal polynomial systems on non-uniform lattices (quadratic lattices of a discrete or a q-discrete variable). We present two bases of this type, the first of which allows to write solutions of arbitrary divided-difference equations in terms of series representations extending results given in [16] for the q-case. Furthermore it enables the representation of the Stieltjes function which can be used to prove the equivalence between the Pearson equation for a given linear functional and the Riccati equation for the formal Stieltjes function. If the Askey-Wilson polynomials are written in terms of this basis, however, the coefficients turn out to be not q-hypergeometric. Therefore, we present a second basis, which shares several relevant properties with the first one. This basis enables to generate the defining representation of the Askey-Wilson polynomials directly from their divided-difference equation. For this purpose the divided-difference equation must be rewritten in terms of suitable divided-difference operators developed in [5], see also [6].