992 resultados para Solutions for proposed exercises
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This reply adds a number of details to remarks by Foong and Kanno [preceding Comment, Phys. Rev. A 46, 5296 (1992)] on our paper [Phys. Rev. A 45, 2222 (1992)] regarding the discontinuities observed in the curves generated in that paper.
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We initiate a systematic scan of the landscape of black holes in any spacetime dimension using the recently proposed blackfold effective worldvolume theory. We focus primarily on asymptotically flat stationary vacuum solutions, where we uncover large classes of new black holes. These include helical black strings and black rings, black odd-spheres, for which the horizon is a product of a large and a small sphere, and non-uniform black cylinders. More exotic possibilities are also outlined. The blackfold description recovers correctly the ultraspinning Myers-Perry black holes as ellipsoidal even-ball configurations where the velocity field approaches the speed of light at the boundary of the ball. Helical black ring solutions provide the first instance of asymptotically flat black holes in more than four dimensions with a single spatial U(1) isometry. They also imply infinite rational non-uniqueness in ultraspinning regimes, where they maximize the entropy among all stationary single-horizon solutions. Moreover, static blackfolds are possible with the geometry of minimal surfaces. The absence of compact embedded minimal surfaces in Euclidean space is consistent with the uniqueness theorem of static black holes
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Since the introduction of expanded levels of intrastate service on October 30, 2006, Amtrak trains in Illinois have produced impressive gains in both ridership and ticket revenue. This success and continuing stakeholder support has given rise to a formal request from the Illinois Department of Transportation (“Ill. DOT”) to Amtrak to develop a feasibility study regarding possible service consisting of a morning and an evening train in each direction between Chicago and the Quad Cities. The area between Chicago and the Quad Cities includes many rapidly growing communities. From Chicago toward the West and South, many towns and cities have experienced double digit growth increases in population since the year 2000. Southern DuPage, Cook and Will counties have seen especially strong growth, pressuring highway infrastructure, utilities, and schools. Community development and highway congestion are readily apparent when traveling the nearly 3 hour, 175 mile route between Chicago and the Quad Cities. As information, there are only three weekday round trip bus frequencies available between Chicago and the Quad Cities. The Quad City International Airport offers a total of 10 daily scheduled round trip flights to Chicago's O'Hare International Airport via two separate carriers flying regional jets. The Quad Cities (Davenport, Moline, Rock Island, and Bettendorf) are located along the Mississippi River. Nearly 60% of its visitors are from the Chicago area. With dozens of miles of scenic riverfront, river boating, casinos, and thousands of acres of expansive public spaces, the Quad Cities area is a major draw from both Iowa and Illinois. The huge Rock Island Arsenal, one of the largest military arsenals in the country and located along the river, is transitioning to become the headquarters of the United States First Army. As will be discussed later in the report, there is only one logical rail route through the Quad Cities themselves. The Iowa Interstate Railroad operates through the Quad Cities along the river and heads west through Iowa. The Quad Cities are considering at least three potential locations for an Amtrak station. A study now underway supported by several local stakeholders will recommend a site which will then be considered, given available local and other financial support. If Amtrak service were to terminate in the Quad Cities, an overnight storage track of sufficient length along with ample parking and certain other requirements covered elsewhere in the report would be required.
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In this paper we study under which circumstances there exists a general change of gross variables that transforms any FokkerPlanck equation into another of the OrnsteinUhlenbeck class that, therefore, has an exact solution. We find that any FokkerPlanck equation will be exactly solvable by means of a change of gross variables if and only if the curvature tensor and the torsion tensor associated with the diffusion is zero and the transformed drift is linear. We apply our criteria to the Kubo and Gompertz models.
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Generalized KerrSchild space-times for a perfect-fluid source are investigated. New Petrov type D perfect fluid solutions are obtained starting from conformally flat perfect-fluid metrics.
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Petrov types D and II perfect-fluid solutions are obtained starting from conformally flat perfect-fluid metrics and by using a generalized KerrSchild ansatz. Most of the Petrov type D metrics obtained have the property that the velocity of the fluid does not lie in the two-space defined by the principal null directions of the Weyl tensor. The properties of the perfect-fluid sources are studied. Finally, a detailed analysis of a new class of spherically symmetric static perfect-fluid metrics is given.
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Program of the memorial in honor of William Boyd Allison, senior Senator of the State of Iowa, who died at his home in Dubuque, Iowa, August 4, 1908. It includes full text of remarks presented at the memorial by dignitaries in attendance.
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Abstract : This work is concerned with the development and application of novel unsupervised learning methods, having in mind two target applications: the analysis of forensic case data and the classification of remote sensing images. First, a method based on a symbolic optimization of the inter-sample distance measure is proposed to improve the flexibility of spectral clustering algorithms, and applied to the problem of forensic case data. This distance is optimized using a loss function related to the preservation of neighborhood structure between the input space and the space of principal components, and solutions are found using genetic programming. Results are compared to a variety of state-of--the-art clustering algorithms. Subsequently, a new large-scale clustering method based on a joint optimization of feature extraction and classification is proposed and applied to various databases, including two hyperspectral remote sensing images. The algorithm makes uses of a functional model (e.g., a neural network) for clustering which is trained by stochastic gradient descent. Results indicate that such a technique can easily scale to huge databases, can avoid the so-called out-of-sample problem, and can compete with or even outperform existing clustering algorithms on both artificial data and real remote sensing images. This is verified on small databases as well as very large problems. Résumé : Ce travail de recherche porte sur le développement et l'application de méthodes d'apprentissage dites non supervisées. Les applications visées par ces méthodes sont l'analyse de données forensiques et la classification d'images hyperspectrales en télédétection. Dans un premier temps, une méthodologie de classification non supervisée fondée sur l'optimisation symbolique d'une mesure de distance inter-échantillons est proposée. Cette mesure est obtenue en optimisant une fonction de coût reliée à la préservation de la structure de voisinage d'un point entre l'espace des variables initiales et l'espace des composantes principales. Cette méthode est appliquée à l'analyse de données forensiques et comparée à un éventail de méthodes déjà existantes. En second lieu, une méthode fondée sur une optimisation conjointe des tâches de sélection de variables et de classification est implémentée dans un réseau de neurones et appliquée à diverses bases de données, dont deux images hyperspectrales. Le réseau de neurones est entraîné à l'aide d'un algorithme de gradient stochastique, ce qui rend cette technique applicable à des images de très haute résolution. Les résultats de l'application de cette dernière montrent que l'utilisation d'une telle technique permet de classifier de très grandes bases de données sans difficulté et donne des résultats avantageusement comparables aux méthodes existantes.
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Soon after the Illinois Department of Transportation (“Ill. DOT”) requested Amtrak to conduct a feasibility study on proposed Amtrak service between Chicago and the Illinois Quad Cities, the Iowa Department of Transportation (“Iowa DOT”) asked that the study be extended to Iowa City and later to Des Moines. This report examines the feasibility of extending service to Iowa City. The completed report for the proposed Chicago – Quad Cities’ service was delivered to Ill. DOT in early January 2008. It assumes a stand-alone train operation strictly within the State of Illinois and makes no reference to extending the service into the State of Iowa. Therefore, there is no discussion about potential cost sharing allocations for capital improvements or operating losses between the two states which will become a matter of future negotiations between the two jurisdictions. That being said, this report on extending the service to Iowa City is simply an addendum to the Quad Cities report and covers such topics as additional capital infrastructure improvements that would be required in Iowa, impacts on operating expenses, revised ridership and revenue projections, and the like. With one minor exception, the recommended level of capital improvements within Illinois will still be required if the service to Iowa City is initiated. It is thus important for the readers of this report to refer to the Illinois study for detailed information on that state’s portion of the route alternatives.
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The Transportation Equity Act of the 21st Century (TEA-21) (23 CFR) mandated environmental streamlining in order to improve transportation project delivery without compromising environmental protection. In accordance with TEA-21, the environmental review process for this project has been documented as a Streamlined Environmental Assessment (EA). This document addresses only those resources or features that apply to the project. This allowed study and discussion of resources present in the study area, rather than expend effort on resources that were either not present or not impacted. Although not all resources are discussed in the EA, they were considered during the planning process and are documented in the Streamlined Resource Summary, shown in Appendix A. The following table shows the resources considered during the environmental review for this project. The first column with a check means the resource is present in the project area. The second column with a check means the impact to the resource warrants more discussion in this document. The other listed resources have been reviewed and are included in the Streamlined Resource Summary.
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Single-valued solutions for the case of two-sided market games without product differentiation, also known as Böhm-Bawerk horse market games, are analyzed. The nucleolus is proved to coincide with the tau-value, and is thus the midpoint of the core. Moreover a characterization of this setof games in terms of the assignment matrix is provided.
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In the analysis of equilibrium policies in a di erential game, if agents have different time preference rates, the cooperative (Pareto optimum) solution obtained by applying the Pontryagin's Maximum Principle becomes time inconsistent. In this work we derive a set of dynamic programming equations (in discrete and continuous time) whose solutions are time consistent equilibrium rules for N-player cooperative di erential games in which agents di er in their instantaneous utility functions and also in their discount rates of time preference. The results are applied to the study of a cake-eating problem describing the management of a common property exhaustible natural resource. The extension of the results to a simple common property renewable natural resource model in in nite horizon is also discussed.
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[cat] En aquest treball s'analitza un model estocàstic en temps continu en el que l'agent decisor descompta les utilitats instantànies i la funció final amb taxes de preferència temporal constants però diferents. En aquest context es poden modelitzar problemes en els quals, quan el temps s'acosta al moment final, la valoració de la funció final incrementa en comparació amb les utilitats instantànies. Aquest tipus d'asimetria no es pot descriure ni amb un descompte estàndard ni amb un variable. Per tal d'obtenir solucions consistents temporalment es deriva l'equació de programació dinàmica estocàstica, les solucions de la qual són equilibris Markovians. Per a aquest tipus de preferències temporals, s'estudia el model clàssic de consum i inversió (Merton, 1971) per a les funcions d'utilitat del tipus CRRA i CARA, comparant els equilibris Markovians amb les solucions inconsistents temporalment. Finalment es discuteix la introducció del temps final aleatori.
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A static comparative study on set-solutions for cooperative TU games is carried out. The analysis focuses on studying the compatibility between two classical and reasonable properties introduced by Young (1985) in the context of single valued solutions, namely core-selection and coalitional monotonicity. As the main result, it is showed that coalitional monotonicity is not only incompatible with the core-selection property but also with the bargaining-selection property. This new impossibility result reinforces the tradeoff between these kinds of interesting and intuitive economic properties. Positive results about compatibility between desirable economic properties are given replacing the core selection requirement by the core-extension property.
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[cat] En aquest treball caracteritzem les solucions puntuals de jocs cooperatius d'utilitat transferible que compleixen selecció del core i monotonia agregada. També mostrem que aquestes dues propietats són compatibles amb la individualitat racional, la propietat del jugador fals i la propietat de simetria. Finalment, caracteritzem les solucions puntuals que compleixen les cinc propietats a l'hora.