Formalismo de Hamilton-Jacobi à la Carathéodory. Parte 2: sistemas singulares

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Análise não suave e aplicações em otimização

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Saddle Point and Second Order Optimality in Nondifferentiable Nonlinear Abstract Multiobjective Optimization

This article deals with a vector optimization problem with cone constraints in a Banach space setting. By making use of a real-valued Lagrangian and the concept of generalized subconvex-like functions, weakly efficient solutions are characterized through saddle point type conditions. The results, jointly with the notion of generalized Hessian (introduced in [Cominetti, R., Correa, R.: A generalized second-order derivative in nonsmooth optimization. SIAM J. Control Optim. 28, 789–809 (1990)]), are applied to achieve second order necessary and sufficient optimality conditions (without requiring twice differentiability for the objective and constraining functions) for the particular case when the functionals involved are defined on a general Banach space into finite dimensional ones.

RB34-71 Effects of Inflation and Deflation Upon Nebraska Agriculture, 1914 to 1932

Nebraska farmers prospered during the period which followed the depression of the nineties and preceded the beginning of the World War. To be sure the prosperity was not uniformly distributed either by years or by areas. The corn crop was unusually short in a large portion of the state in 1901 and an almost total failure in many of the southern counties in 1913. Chinch bugs did considerable injury in 1901 and the Hessian fly in 1905 and 1914. There was noticeable damage from insects in some areas in other years. No part of the state, however, suffered from long-continued drouth or repeated ravages of insect pests. The depression of 1907 affected credit and prices very severly for a few months, but recovery was rapid and within less than a year business was again moving forward. This 1934 research bulletin covers the problems of inflation and deflation; changes in the prices of various commodities during inflation and deflation; prices and purchasing power of Nebraska farm products, 1914 to 1932; adjustments during inflation and deflation; the effect of wages on Nebraska agriculture; taxes; Nebraska farm income; changes in types of farming in Nebraska, 1914 to 1932; the banking situation; Nebraska farm land prices; and the effects of inflation and deflation upon Nebraska businesses.

Optimal reactive power flow via the modified barrier Lagrangian function approach

A new approach called the Modified Barrier Lagrangian Function (MBLF) to solve the Optimal Reactive Power Flow problem is presented. In this approach, the inequality constraints are treated by the Modified Barrier Function (MBF) method, which has a finite convergence property: i.e. the optimal solution in the MBF method can actually be in the bound of the feasible set. Hence, the inequality constraints can be precisely equal to zero. Another property of the MBF method is that the barrier parameter does not need to be driven to zero to attain the solution. Therefore, the conditioning of the involved Hessian matrix is greatly enhanced. In order to show this, a comparative analysis of the numeric conditioning of the Hessian matrix of the MBLF approach, by the decomposition in singular values, is carried out. The feasibility of the proposed approach is also demonstrated with comparative tests to Interior Point Method (IPM) using various IEEE test systems and two networks derived from Brazilian generation/transmission system. The results show that the MBLF method is computationally more attractive than the IPM in terms of speed, number of iterations and numerical conditioning. (C) 2011 Elsevier B.V. All rights reserved.

Numerical combination for nonlinear analysis of structures coupled to layered soils

This paper presents an alternative coupling strategy between the Boundary Element Method (BEM) and the Finite Element Method (FEM) in order to create a computational code for the analysis of geometrical nonlinear 2D frames coupled to layered soils. The soil is modeled via BEM, considering multiple inclusions and internal load lines, through an alternative formulation to eliminate traction variables on subregions interfaces. A total Lagrangean formulation based on positions is adopted for the consideration of the geometric nonlinear behavior of frame structures with exact kinematics. The numerical coupling is performed by an algebraic strategy that extracts and condenses the equivalent soil's stiffness matrix and contact forces to be introduced into the frame structures hessian matrix and internal force vector, respectively. The formulation covers the analysis of shallow foundation structures and piles in any direction. Furthermore, the piles can pass through different layers. Numerical examples are shown in order to illustrate and confirm the accuracy and applicability of the proposed technique.

Interactive simulation of flexible parts

Computer simulations play an ever growing role for the development of automotive products. Assembly simulation, as well as many other processes, are used systematically even before the first physical prototype of a vehicle is built in order to check whether particular components can be assembled easily or whether another part is in the way. Usually, this kind of simulation is limited to rigid bodies. However, a vehicle contains a multitude of flexible parts of various types: cables, hoses, carpets, seat surfaces, insulations, weatherstrips... Since most of the problems using these simulations concern one-dimensional components and since an intuitive tool for cable routing is still needed, we have chosen to concentrate on this category, which includes cables, hoses and wiring harnesses. In this thesis, we present a system for simulating one dimensional flexible parts such as cables or hoses. The modeling of bending and torsion follows the Cosserat model. For this purpose we use a generalized spring-mass system and describe its configuration by a carefully chosen set of coordinates. Gravity and contact forces as well as the forces responsible for length conservation are expressed in Cartesian coordinates. But bending and torsion effects can be dealt with more effectively by using quaternions to represent the orientation of the segments joining two neighboring mass points. This augmented system allows an easy formulation of all interactions with the best appropriate coordinate type and yields a strongly banded Hessian matrix. An energy minimizing process accounts for a solution exempt from the oscillations that are typical of spring-mass systems. The use of integral forces, similar to an integral controller, allows to enforce exactly the constraints. The whole system is numerically stable and can be solved at interactive frame rates. It is integrated in the DaimlerChrysler in-house Virtual Reality Software veo for use in applications such as cable routing and assembly simulation and has been well received by users. Parts of this work have been published at the ACM Solid and Physical Modeling Conference 2006 and have been selected for the special issue of the Computer-Aided-Design Journal to the conference.

Higher-order molecular properties and excitation energies in single-reference and multireference coupled-cluster theory

Coupled-cluster (CC) theory is one of the most successful approaches in high-accuracy quantum chemistry. The present thesis makes a number of contributions to the determination of molecular properties and excitation energies within the CC framework. The multireference CC (MRCC) method proposed by Mukherjee and coworkers (Mk-MRCC) has been benchmarked within the singles and doubles approximation (Mk-MRCCSD) for molecular equilibrium structures. It is demonstrated that Mk-MRCCSD yields reliable results for multireference cases where single-reference CC methods fail. At the same time, the present work also illustrates that Mk-MRCC still suffers from a number of theoretical problems and sometimes gives rise to results of unsatisfactory accuracy. To determine polarizability tensors and excitation spectra in the MRCC framework, the Mk-MRCC linear-response function has been derived together with the corresponding linear-response equations. Pilot applications show that Mk-MRCC linear-response theory suffers from a severe problem when applied to the calculation of dynamic properties and excitation energies: The Mk-MRCC sufficiency conditions give rise to a redundancy in the Mk-MRCC Jacobian matrix, which entails an artificial splitting of certain excited states. This finding has established a new paradigm in MRCC theory, namely that a convincing method should not only yield accurate energies, but ought to allow for the reliable calculation of dynamic properties as well. In the context of single-reference CC theory, an analytic expression for the dipole Hessian matrix, a third-order quantity relevant to infrared spectroscopy, has been derived and implemented within the CC singles and doubles approximation. The advantages of analytic derivatives over numerical differentiation schemes are demonstrated in some pilot applications.

Eine ökologische Landeskunde der Rhön

Die Ökologische Landeskunde der Rhön – mit einem Schwerpunkt auf dem hessischen Teil – behandelt als moderne Landeskunde neben der Geostruktur und der humangeographischen Struktur im Besonderen die ökologische Struktur, denn nur durch diese Pointierung können Räume in ihrer Gesamtheit und Komplexität beschrieben werden. Das gilt im Besonderen für ökologisch bedeutsame Schutzräume wie die Rhön. Der Mittelgebirgsraum Rhön ist eine über Jahrhunderte gewachsene Kulturlandschaft mit einem weitgehend intakten, aber fragilen Ökosystem, das eine einzigartige und schützenswerte floristische und faunistische Ausstattung aufweist. Durch die weitreichenden mittelalterlichen Rodungen und die anschließende extensive Weidenutzung haben sich unter dem Eingriff des Menschen besonders auf den Höhenlagen im Laufe der Zeit artenreiche und ökologisch bedeutsame Ökosystemtypen, wie Borst- und Kalkmagerrasen, entwickelt. Um das naturräumliche und touristische Potential des Untersuchungsraums langfristig erhalten zu können, haben ökologische und nachhaltige Entwicklungen in den einzelnen Wirtschaftssektoren eine überragende Funktion. Im primären, sekundären und tertiären Sektor zeigen sich deutliche Entwicklungen hin zu ökologischen Erzeugnissen und Dienstleistungen. Der Ökolandbau gewinnt in der Rhön zunehmend an Bedeutung, Betriebe spezialisieren sich immer mehr auf Bio-zertifizierte und regionale Produkte und werben verstärkt mit ökologischen und rhöntypischen Begrifflichkeiten. Vor allem der für die Rhön wirtschaftlich bedeutende Tourismussektor, der im Spannungsfeld zwischen Ökonomie und Ökologie steht, entwickelt sich ebenfalls in Richtung nachhaltiger und umweltfreundlicher Formen. Am Beispiel des Milseburgradwegs konnte anhand einer Besucherbefragung auf Basis standardisierter Fragestellungen mit vornehmlich geschlossenen Fragen gezeigt werden, wie wichtig den Nutzern eine intakte Natur ist und wie Ökotourismus, Wirtschaftlichkeit und Naturschutz koexistieren können. Die Prämierung der Rhön zum Biosphärenreservat Rhön durch die UNESCO im Jahre 1991 erwies sich als Glücksfall und konnte dem strukturschwachen ländlichen Raum wichtige ökologische und wirtschaftliche Impulse geben, vor allem in Richtung ökologischer und nachhaltiger Erzeugnisse und Dienstleistungen. Die Auszeichnung kann dabei als Synthese zwischen Geostruktur und humangeographischer Struktur angesehen werden und ist Würdigung, Mahnung und Pflicht zugleich. Zusätzlich verdeutlicht sie auf eindringliche Weise die Fragilität und Schutzwürdigkeit des Ökosystems. Gegenwärtig zeichnen sich im Untersuchungsraum einige Entwicklungen ab, die die ökologische Raumstruktur gefährden und zusätzlich zur Aberkennung des Titels Biosphärenreservat führen könnten, weshalb sie kritisch gesehen werden müssen. Hier stechen der Bau der geplanten Bundesstraße B 87n von Fulda nach Meiningen oder das Kernzonendefizit hervor. Die Arbeit ist deshalb ein Plädoyer für den unbedingten Erhalt des identitätsstiftenden Titels Biosphärenreservat sowie für eine aktive Umweltbildung, denn eine erfolgreiche Zukunft und Identifikation der Bewohner mit ihrem Heimatraum ist unmittelbar an das Prädikat gekoppelt. Ökologische Landeskunden verstehen sich als aktive Elemente in der Umweltbildung und richten sich an die Menschen, die immer mehr zum prägenden Faktor von Räumen und ihren Ökosystemen werden. In der Rhön können sie sogar als Ausgangspunkt für die Herausbildung aufgefasst werden. Trotz der begrenzten Aussagekraft der Arbeit und der Komplexität des Untersuchungsraums zeigen sich vielfältige, ökologisch relevante Entwicklungen, die jedoch durch weitere sozialwissenschaftliche und wirtschaftswissenschaftliche Arbeiten erweitert, vertieft und stetig abgeglichen werden müssen.

Squared Extrapolation Methods (SQUAREM): A New Class of Simple and Efficient Numerical Schemes for Accelerating the Convergence of the EM Algorithm

We derive a new class of iterative schemes for accelerating the convergence of the EM algorithm, by exploiting the connection between fixed point iterations and extrapolation methods. First, we present a general formulation of one-step iterative schemes, which are obtained by cycling with the extrapolation methods. We, then square the one-step schemes to obtain the new class of methods, which we call SQUAREM. Squaring a one-step iterative scheme is simply applying it twice within each cycle of the extrapolation method. Here we focus on the first order or rank-one extrapolation methods for two reasons, (1) simplicity, and (2) computational efficiency. In particular, we study two first order extrapolation methods, the reduced rank extrapolation (RRE1) and minimal polynomial extrapolation (MPE1). The convergence of the new schemes, both one-step and squared, is non-monotonic with respect to the residual norm. The first order one-step and SQUAREM schemes are linearly convergent, like the EM algorithm but they have a faster rate of convergence. We demonstrate, through five different examples, the effectiveness of the first order SQUAREM schemes, SqRRE1 and SqMPE1, in accelerating the EM algorithm. The SQUAREM schemes are also shown to be vastly superior to their one-step counterparts, RRE1 and MPE1, in terms of computational efficiency. The proposed extrapolation schemes can fail due to the numerical problems of stagnation and near breakdown. We have developed a new hybrid iterative scheme that combines the RRE1 and MPE1 schemes in such a manner that it overcomes both stagnation and near breakdown. The squared first order hybrid scheme, SqHyb1, emerges as the iterative scheme of choice based on our numerical experiments. It combines the fast convergence of the SqMPE1, while avoiding near breakdowns, with the stability of SqRRE1, while avoiding stagnations. The SQUAREM methods can be incorporated very easily into an existing EM algorithm. They only require the basic EM step for their implementation and do not require any other auxiliary quantities such as the complete data log likelihood, and its gradient or hessian. They are an attractive option in problems with a very large number of parameters, and in problems where the statistical model is complex, the EM algorithm is slow and each EM step is computationally demanding.

Automated optimization of polymer extrusion dies using finite element analysis

An extrusion die is used to continuously produce parts with a constant cross section; such as sheets, pipes, tire components and more complex shapes such as window seals. The die is fed by a screw extruder when polymers are used. The extruder melts, mixes and pressures the material by the rotation of either a single or double screw. The polymer can then be continuously forced through the die producing a long part in the shape of the die outlet. The extruded section is then cut to the desired length. Generally, the primary target of a well designed die is to produce a uniform outlet velocity without excessively raising the pressure required to extrude the polymer through the die. Other properties such as temperature uniformity and residence time are also important but are not directly considered in this work. Designing dies for optimal outlet velocity variation using simple analytical equations are feasible for basic die geometries or simple channels. Due to the complexity of die geometry and of polymer material properties design of complex dies by analytical methods is difficult. For complex dies iterative methods must be used to optimize dies. An automated iterative method is desired for die optimization. To automate the design and optimization of an extrusion die two issues must be dealt with. The first is how to generate a new mesh for each iteration. In this work, this is approached by modifying a Parasolid file that describes a CAD part. This file is then used in a commercial meshing software. Skewing the initial mesh to produce a new geometry was also employed as a second option. The second issue is an optimization problem with the presence of noise stemming from variations in the mesh and cumulative truncation errors. In this work a simplex method and a modified trust region method were employed for automated optimization of die geometries. For the trust region a discreet derivative and a BFGS Hessian approximation were used. To deal with the noise in the function the trust region method was modified to automatically adjust the discreet derivative step size and the trust region based on changes in noise and function contour. Generally uniformity of velocity at exit of the extrusion die can be improved by increasing resistance across the die but this is limited by the pressure capabilities of the extruder. In optimization, a penalty factor that increases exponentially from the pressure limit is applied. This penalty can be applied in two different ways; the first only to the designs which exceed the pressure limit, the second to both designs above and below the pressure limit. Both of these methods were tested and compared in this work.

Na 1 Nachlass Max Horkheimer, 14 - Korrespondenzen u.a. mit Hugo Fischer und Karl August Wittfogel (p. I 7, 224-429)

1 Brief von Max Horkheimer an Rosel Favez, 03.12.1935; 5 Briefe zwischen Sidney B. Fay von der Bureau of International Search Cambridge, Massachusetts und Max Horkheimer, 1939-1941; 1 Brief von Max Horkheimer an James Feibleman, 02.03.1942; 5 Briefe von Hans Feibelmann an Max Horkheimer, 1936-1937; 2 Briefe zwischen Babette Feigenbaum und Max Horkheimer, 29.04.1941, 05.05.1941; 1 Brief von Arthur Feiler an Max Horkheimer, 15.10.1939; 1 Brief von Max Horkheimer an Adolf Feitler, 03.01.1935; 3 Briefe zwischen Frederick V. Filed von dem American Council Institute of Pacific Relations und Max Horkheimer, 1937, 05.04.1937; 9 Briefe zwischen Thea Field, Lowell Field und Max Horkheimer, 1935-1941; 1 Brief von Max Horkheimer an Finkelstein, 18.09.1941; 7 Briefe zwischen Harry Finkelstein und Max Horkheimer, 1936-1940; 1 Brief von Louis Finkelstein an Robert MacIver, 29.05.1940; 2 Briefe zwischen Louis Finkelstein und Max Horkheimer, 06.06.1940, 04.06.1940; 15 Briefe zwischen Hugo Fischer und Max Horkheimer, 1937-1938; 1 Brief von Hugo Fischer an P. Tillich; 1 Brief von Hugo Fischer an Karl A. Wittfogel, 17.06.1940; 2 Briefe von Max Horkheimer an Ernest Manheim, April 1942; 1 Brief von Alexander Farquharson an Max Horkheimer, 20.01.1940; 3 Briefe zwischen dem Institute of International Education, New York Edgar J. Fisher und Max Horkheimer, Oktober 1938, 18.10.1938; 10 Briefe zwischen Paul Fischer und Max Horkheimer, 1938-1940; 2 Briefe zwischen der Hessian Hills School New York und Max Horkheimer, 21.02.1938, 28.02.1938; 2 Briefe zwischen Dorothy Canfield Fisher und Max Horkheimer, 24.01.1939, 19.01.1939; 1 Brief von Ossip K. Flechtheim an Max Horkheimer, 04.01.1941; 2 Briefe zwischen der University of Minnesota, Minneapolis und Max Horkheimer, 02.08.1945, 15.09.1945; 3 Briefe zwischen Leo Löwenthal und Max Horkheimer, 1943-1945, 17.08.1945; 2 Briefe zwischen der University of Denver, Colorado und Max Horkheimer, 11.05.1943, 28.05.1943; 1 Brief von dem Institute Universitaire De Hautes Etudes Internationales Genf an Max Horkheimer, 25.01.1939; 1 Brief von Hans Kelsen an Max Horkheimer, 30.01.1939; Lebenslauf und 2 Empfehlungsschreiben von Max Fleischmann für Prof. Edwin Borchard; 1 Brief von der Columbia University in the City of New York an Franz Neumann, 17.04.1940; 3 Briefe zwischen Philipp Flesch und Max Horkheimer, 26.03.1940, 1939-1940; 17 Briefe zwischen Babette Fletcher, Theo Fletcher und Max Horkheimer, 1941-1950; 1 Brief von Max Horkheimer an Abraham Flexner, 07.06.1939; 1 Brief von Robert Fließ an Max Horkheimer, 24.10.1938; 1 Brief von der Foreign Policy Association New York an Max Horkheimer, 03.11.1934; 1 Brief von Max Horkheimer an Rudolf Forster, 10.01.1940; 2 Briefe von der Fortune Time & Life Building New York und Max Horkheimer, 1938-1940; 4 Briefe zwischen Siegmund H. Foulkes (Fuchs) und Max Horkheimer, 1936-1937, 31.12.1936; 5 Briefe zwischen Elsie M. Foulstone und Max Horkheimer, 1941; 1 Brief von Mary Fox an Max Horkheimer, 09.12.1938; 5 Briefe zwischen Ernst Fraenkel und Max Horkheimer, 1936-1938; 1 Heiratsanzeige Liesl Frank; 7 Briefe zwischen Philipp Frank und Max Horkheimer, 1937-1939; 6 Briefe zwischen Lothar G. Frank und Max Horkheimer, 1941; 7 Briefe zwischen Felix Frankfurter und Max Horkheimer, 1937-1941; 2 Briefe zwischen Joseph Freeman und Max Horkheimer, 22.11.1944; 1 Brief von der Free Synagogue New York an Max Horkheimer, 14.11.1938; 2 Briefe zwsichen Benjamin Freilichmann und Max Horkheimer, 07.01.1939, 23.01.1939; 2 Briefe zwischen dem Frenkel Travel Service New York und Max Horkheimer, 21.02.1936, 23.02.1936; 2 Briefe zwischen Hugo Freund und Max Horkheimer, 14.11.1938, 18.11.1938; 2 Briefe zwischen Julius A. Jr. Freynick und Max Horkheimer, 11.09.1939, 18.09.1939;

Effects of the 4N(v) chromosome from Aegilops ventricosa on agronomic and quality traits in bread wheat

Advanced wheat lines carrying the Hessian fly resistance gene H27 were obtained by backcrossing the wheat/Aegilops ventricosa introgression line, H-93-33, to commercial wheat cultivars as recurrent parents. The Acph-N v 1 marker linked to the gene H27 on the 4Nv chromosome of this line was used for marker assisted selection. Advanced lines were evaluated for Hessian fly resistance in field and growth chamber tests, and for other agronomic traits during several crop seasons at different localities of Spain. The hessian fly resistance levels of lines carrying the 4Nv chromosome introgression (4D/4Nv substitution and recombination lines that previously were classified by in situ hybridisation) were high, but always lower than that of their Ae. ventricosa progenitor. Introgression lines had higher grain yields in infested field trials than those without the 4Nv chromosome and their susceptible parents, but lower grain yields under high yield potential conditions. The 4Nv introgression was also associated with later heading, and lower tiller and grain numbers/m2 . In addition, it was associated with longer and more lax spikes, and higher values of grain weight and grain protein content. However, the glutenin and gliadin expression, as well as the bread-making performance, were similar to those of their recurrent parents

3D Frangi-based lung vessel enhancement filter penalizing airways

This paper describes a fully automatic simultaneous lung vessel and airway enhancement filter. The approach consists of a Frangi-based multiscale vessel enhancement filtering specifically designed for lung vessel and airway detection, where arteries and veins have high contrast with respect to the lung parenchyma, and airway walls are hollow tubular structures with a non negative response using the classical Frangi's filter. The features extracted from the Hessian matrix are used to detect centerlines and approximate walls of airways, decreasing the filter response in those areas by applying a penalty function to the vesselness measure. We validate the segmentation method in 20 CT scans with different pathological states within the VESSEL12 challenge framework. Results indicate that our approach obtains good results, decreasing the number of false positives in airway walls.

Report of the United States Entomological Commission for the years ..

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