Problem of Hydroelectric Resources Management: Numerical Approach

In this work we analyze an optimal control problem for a system of two hydroelectric power stations in cascade with reversible turbines. The objective is to optimize the profit of power production while respecting the system’s restrictions. Some of these restrictions translate into state constraints and the cost function is nonconvex. This increases the complexity of the optimal control problem. The problem is solved numerically and two different approaches are adopted. These approaches focus on global optimization techniques (Chen-Burer algorithm) and on a projection estimation refinement method (PERmethod). PERmethod is used as a technique to reduce the dimension of the problem. Results and execution time of the two procedures are compared.

Le problème du mal dans la Summa de bono de Philippe le Chancelier

Ce mémoire entend mettre en lumière la solution au problème du mal développée par Philippe le Chancelier dans la Summa de bono (1225-1228). À cet effet, notre analyse se polarise sur la notion du mal qui occupe à la fois le système des transcendantaux et la division du bien créé découlant du principe du souverain bien. La somme est bâtie d’après la primauté de la notion du bien transcendantal, et fut rédigée par opposition avec la doctrine manichéenne des Cathares, en vogue au XIIIe siècle, qui s’appuyait sur la prééminence de deux principes métaphysiques causant le bien et le mal, d’où devaient procéder toutes les choses de la Création. Ceci explique que nous ayons privilégié de seulement examiner les notions du bien et du mal en un sens général, car c’est au stade universel de l’ontologie du bien que l’auteur défait la possibilité du mal de nature, en amont des ramifications du bien créé, déployées, à l’envi, dans les questions de la somme où les réponses sont assignées à des problèmes spécifiques. Nous offrons ici, pour la première fois, une traduction en français d’une série de questions ayant permis de mener à bien ce projet.

Theodicies, Utilitarianism, and Respect for Persons

Most theodicy responses to the problem of evil have in common the claim that God legitimately allows some evil such that greater good may come. This response is puzzling because the seemingly overwhelming consensus (at least amongst Christian apologists) is that 1) morality is deontological in nature (e.g. our duty of obedience to God’s commands, or acting in accordance with God’s purpose), and 2) relatedly, that humans are made in God’s image (i. e. are rational beings) and thus are worthy of respect. I shall argue that theodicy defenses that claim that God allows some evil such that greater good may come are untenable because they either unnecessarily bifurcate Christian morality in an ad hoc manner, or entail that God cannot have respect for persons.

Uma crítica à realidade e a Deus Um estudo exegético em Jó 24,1-12

O livro de Jó pertence à literatura sapiencial de Israel. Seu conteúdo é um grande debate entre sábios. Estes formavam um segmento educado da população: sabiam ler e escrever. A sabedoria era demasiadamente valorizada e concebida como orientação prudente para a vida. O texto 24,1-12 de Jó pertence à parte poética do livro. O poema foi escrito na primeira metade do século V a.C., no período do pós exílio, durante a dominação dos persas. Este império trouxe profundas modificações para a vida do povo em Judá. Apesar da aparente tolerância por parte de seus governantes, eles criaram métodos muito eficazes para alcançar seus objetivos de controle sobre os povos submetidos. Através de um forte aparelho burocrático, fiscal e militar controlavam e garantiam a ordem e o pagamento de tributos. O templo tornou-se o intermediário entre o império e o povo. A economia e a sociedade se estruturaram conforme o regime imposto pelos persas. Essa política econômica e administrativa favorecia o enriquecimento dos setores dominantes, e conseqüentemente o empobrecimento cada vez maior dos camponeses. Os sacerdotes eram os líderes do povo e a teologia da retribuição se fortaleceu muito nessa época. No entanto, a justiça de Deus explicada pela teologia da retribuição deparava-se com o problema do mal e do sofrimento do justo. É a partir da experiência e da observação da realidade que se origina um movimento de resistência à teologia da retribuição. No capítulo 24,1-12, Jó se lança numa contemplação sobre a sociedade dividida entre opressores e oprimidos. Desmonta o funcionamento da sociedade mostrando suas rupturas e conflitos graves. Sua intenção nesse texto é mostrar através da realidade, porque não concorda com as afirmações dos sábios que defendem a teologia da retribuição, sobre o castigo infalível para os ímpios ricos e sobre o sofrimento do pobre como indicação de castigo.(AU)

Uma crítica à realidade e a Deus Um estudo exegético em Jó 24,1-12

O livro de Jó pertence à literatura sapiencial de Israel. Seu conteúdo é um grande debate entre sábios. Estes formavam um segmento educado da população: sabiam ler e escrever. A sabedoria era demasiadamente valorizada e concebida como orientação prudente para a vida. O texto 24,1-12 de Jó pertence à parte poética do livro. O poema foi escrito na primeira metade do século V a.C., no período do pós exílio, durante a dominação dos persas. Este império trouxe profundas modificações para a vida do povo em Judá. Apesar da aparente tolerância por parte de seus governantes, eles criaram métodos muito eficazes para alcançar seus objetivos de controle sobre os povos submetidos. Através de um forte aparelho burocrático, fiscal e militar controlavam e garantiam a ordem e o pagamento de tributos. O templo tornou-se o intermediário entre o império e o povo. A economia e a sociedade se estruturaram conforme o regime imposto pelos persas. Essa política econômica e administrativa favorecia o enriquecimento dos setores dominantes, e conseqüentemente o empobrecimento cada vez maior dos camponeses. Os sacerdotes eram os líderes do povo e a teologia da retribuição se fortaleceu muito nessa época. No entanto, a justiça de Deus explicada pela teologia da retribuição deparava-se com o problema do mal e do sofrimento do justo. É a partir da experiência e da observação da realidade que se origina um movimento de resistência à teologia da retribuição. No capítulo 24,1-12, Jó se lança numa contemplação sobre a sociedade dividida entre opressores e oprimidos. Desmonta o funcionamento da sociedade mostrando suas rupturas e conflitos graves. Sua intenção nesse texto é mostrar através da realidade, porque não concorda com as afirmações dos sábios que defendem a teologia da retribuição, sobre o castigo infalível para os ímpios ricos e sobre o sofrimento do pobre como indicação de castigo.(AU)

Uma crítica à realidade e a Deus Um estudo exegético em Jó 24,1-12

O livro de Jó pertence à literatura sapiencial de Israel. Seu conteúdo é um grande debate entre sábios. Estes formavam um segmento educado da população: sabiam ler e escrever. A sabedoria era demasiadamente valorizada e concebida como orientação prudente para a vida. O texto 24,1-12 de Jó pertence à parte poética do livro. O poema foi escrito na primeira metade do século V a.C., no período do pós exílio, durante a dominação dos persas. Este império trouxe profundas modificações para a vida do povo em Judá. Apesar da aparente tolerância por parte de seus governantes, eles criaram métodos muito eficazes para alcançar seus objetivos de controle sobre os povos submetidos. Através de um forte aparelho burocrático, fiscal e militar controlavam e garantiam a ordem e o pagamento de tributos. O templo tornou-se o intermediário entre o império e o povo. A economia e a sociedade se estruturaram conforme o regime imposto pelos persas. Essa política econômica e administrativa favorecia o enriquecimento dos setores dominantes, e conseqüentemente o empobrecimento cada vez maior dos camponeses. Os sacerdotes eram os líderes do povo e a teologia da retribuição se fortaleceu muito nessa época. No entanto, a justiça de Deus explicada pela teologia da retribuição deparava-se com o problema do mal e do sofrimento do justo. É a partir da experiência e da observação da realidade que se origina um movimento de resistência à teologia da retribuição. No capítulo 24,1-12, Jó se lança numa contemplação sobre a sociedade dividida entre opressores e oprimidos. Desmonta o funcionamento da sociedade mostrando suas rupturas e conflitos graves. Sua intenção nesse texto é mostrar através da realidade, porque não concorda com as afirmações dos sábios que defendem a teologia da retribuição, sobre o castigo infalível para os ímpios ricos e sobre o sofrimento do pobre como indicação de castigo.(AU)

Nietzsche's will-to-power ontology : an interpretation of Beyond Good and Evil

Abstract: Nietzsche's Will-to-Power Ontology: An Interpretation of Beyond Good and Evil § 36 By: Mark Minuk Will-to-power is the central component of Nietzsche's philosophy, and passage 36 of Beyond Good and Evil is essential to coming to an understanding of it. 1 argue for and defend the thesis that will-to-power constitutes Nietzsche's ontology, and offer a new understanding of what that means. Nietzsche's ontology can be talked about as though it were a traditional substance ontology (i.e., a world made up of forces; a duality of conflicting forces described as 'towards which' and 'away from which'). However, 1 argue that what defines this ontology is an understanding of valuation as ontologically fundamental—^the basis of interpretation, and from which a substance ontology emerges. In the second chapter, I explain Nietzsche's ontology, as reflected in this passage, through a discussion of Heidegger's two ontological categories in Being and Time (readiness-to-hand, and present-at-hand). In a nutshell, it means that the world of our desires and passions (the most basic of which is for power) is ontologically more fundamental than the material world, or any other interpretation, which is to say, the material world emerges out of a world of our desires and passions. In the first chapter, I address the problematic form of the passage reflected in the first sentence. The passage is in a hypothetical style makes no claim to positive knowledge or truth, and, superficially, looks like Schopenhaurian position for the metaphysics of the will, which Nietzsche rejects. 1 argue that the hypothetical form of the passage is a matter of style, namely, the style of a free-spirit for whom the question of truth is reframed as a question of values. In the third and final chapter, 1 address the charge that Nietzsche's interpretation is a conscious anthropomorphic projection. 1 suggest that the charge rests on a distinction (between nature and man) that Nietzsche rejects. I also address the problem of the causality of the will for Nietzsche, by suggesting that an alternative, perspectival form of causality is possible.

Studies of good and evil: a series of essays upon problems of philosophy and of life,

The problem of Job.--The case of John Bunyan.--Tennyson and pessimism.--The knowledge of good and evil.--Natural law, ethics, and evolution.--The implications of self-consciousness.--Some observations on the anomalies of self-consciousness.--Self-consciousness, social consciousness and nature.--Originality and consciousness.--Meister Eckhart.--An episode of early California life: the squatter riot of 1850 in Sacramento.--Jean Marie Guyau.

Bi-criteria single machine scheduling problem with a learning effect: Aneja-Nair method to obtain the set of optimal sequences

In this paper, we consider the bi-criteria single machine scheduling problem of n jobs with a learning effect. The two objectives considered are the total completion time (TC) and total absolute differences in completion times (TADC). The objective is to find a sequence that performs well with respect to both the objectives: the total completion time and the total absolute differences in completion times. In an earlier study, a method of solving bi-criteria transportation problem is presented. In this paper, we use the methodology of solvin bi-criteria transportation problem, to our bi-criteria single machine scheduling problem with a learning effect, and obtain the set of optimal sequences,. Numerical examples are presented for illustrating the applicability and ease of understanding.

Application of Mathematical Programming to the Plywood Design and Manufacturing Problem

Plywood manufacture includes two fundamental stages. The first is to peel or separate logs into veneer sheets of different thicknesses. The second is to assemble veneer sheets into finished plywood products. At the first stage a decision must be made as to the number of different veneer thicknesses to be peeled and what these thicknesses should be. At the second stage, choices must be made as to how these veneers will be assembled into final products to meet certain constraints while minimizing wood loss. These decisions present a fundamental management dilemma. Costs of peeling, drying, storage, handling, etc. can be reduced by decreasing the number of veneer thicknesses peeled. However, a reduced set of thickness options may make it infeasible to produce the variety of products demanded by the market or increase wood loss by requiring less efficient selection of thicknesses for assembly. In this paper the joint problem of veneer choice and plywood construction is formulated as a nonlinear integer programming problem. A relatively simple optimal solution procedure is developed that exploits special problem structure. This procedure is examined on data from a British Columbia plywood mill. Restricted to the existing set of veneer thicknesses and plywood designs used by that mill, the procedure generated a solution that reduced wood loss by 79 percent, thereby increasing net revenue by 6.86 percent. Additional experiments were performed that examined the consequences of changing the number of veneer thicknesses used. Extensions are discussed that permit the consideration of more than one wood species.

On the Transform Method of Solution of an External Crack Problem

The breakdown of the usual method of Fourier transforms in the problem of an external line crack in a thin infinite elastic plate is discovered and the correct solution of this problem is derived using the concept of a generalised Fourier transform of a type discussed first by Golecki [1] in connection with Flamant's problem.

Some Generalisations of the Time Minimising Assignment Problem

The time minimising assignment problem is the problem of finding an assignment of n jobs to n facilities, one to each, which minimises the total time for completing all the jobs. The usual assumption made in these problems is that all the jobs are commenced simultaneously. In this paper two generalisations of this assumption are considered, and algorithms are presented to solve these general problems. Numerical examples are worked out illustrating the algorithms.

Application of the Conjugate Gradient Method to a Problem on Minimum Time Orbit Transfer

This correspondence considers the problem of optimally controlling the thrust steering angle of an ion-propelled spaceship so as to effect a minimum time coplanar orbit transfer from the mean orbital distance of Earth to mean Martian and Venusian orbital distances. This problem has been modelled as a free terminal time-optimal control problem with unbounded control variable and with state variable equality constraints at the final time. The problem has been solved by the penalty function approach, using the conjugate gradient algorithm. In general, the optimal solution shows a significant departure from earlier work. In particular, the optimal control in the case of Earth-Mars orbit transfer, during the initial phase of the spaceship's flight, is found to be negative, resulting in the motion of the spaceship within the Earth's orbit for a significant fraction of the total optimized orbit transfer time. Such a feature exhibited by the optimal solution has not been reported at all by earlier investigators of this problem.

Landau-Zener problem with waiting at the minimum gap and related quench dynamics of a many-body system

We discuss a technique for solving the Landau-Zener (LZ) problem of finding the probability of excitation in a two-level system. The idea of time reversal for the Schrodinger equation is employed to obtain the state reached at the final time and hence the excitation probability. Using this method, which can reproduce the well-known expression for the LZ transition probability, we solve a variant of the LZ problem, which involves waiting at the minimum gap for a time t(w); we find an exact expression for the excitation probability as a function of t(w). We provide numerical results to support our analytical expressions. We then discuss the problem of waiting at the quantum critical point of a many-body system and calculate the residual energy generated by the time-dependent Hamiltonian. Finally, we discuss possible experimental realizations of this work.

Solution of a Boundary-Value Problem associated with Diffraction of Water Waves by a Nearly Vertical Barrier

An exact solution is derived for a boundary-value problem for Laplace's equation which is a generalization of the one occurring in the course of solution of the problem of diffraction of surface water waves by a nearly vertical submerged barrier. The method of solution involves the use of complex function theory, the Schwarz reflection principle, and reduction to a system of two uncoupled Riemann-Hilbert problems. Known results, representing the reflection and transmission coefficients of the water wave problem involving a nearly vertical barrier, are derived in terms of the shape function.