The polytopic model (PM) structure is often used in the areas of automatic control and fault detection and isolation (FDI). It is an alternative to the multiple model approach which explicitly allows for interpolation among local models. This thesis proposes a novel approach to PM estimation by modeling the set of PM weights as a random vector with Dirichlet Distribution (DD). A new approximate (adaptive) PM estimator, referred to as a Quasi-Bayesian Adaptive Kalman Filter (QBAKF) is derived and implemented. The model weights and state estimation in the QBAKF is performed adaptively by a simple QB weights' estimator and a single KF on the PM with the estimated weights. Since PM estimation problem is nonlinear and non-Gaussian, a DD marginalized particle filter (DDMPF) is also developed and implemented similar to MPF. The simulation results show that the newly proposed algorithms have better estimation accuracy, design simplicity, and computational requirements for PM estimation.

Student Number : 9606114D PhD Thesis School of Mathematics Faculty of Science / In this thesis, our primary interest lies in the investigation of the location of the zeros and the asymptotic zero distribution of hypergeometric polynomials. The location of the zeros and the asymptotic zero distribution of general hy- pergeometric polynomials are linked with those of the classical orthogonal polynomials in some cases, notably 2F1 and 1F1 hypergeometric polynomials which have been extensively studied. In the case of 3F2 polynomials, less is known about their properties, including the location of their zeros, because there is, in general, no direct link with orthogonal polynomials. Our intro- duction in Chapter 1 outlines known results in this area and we also review recent papers dealing with the location of the zeros of 2F1 and 1F1 hyperge- ometric polynomials. In Chapter 2, we consider two classes of 3F2 hypergeometric polynomials, each of which has a representation in terms of 2F1 polynomials. Our first result proves that the class of polynomials 3F2(−n, a, b; a−1, d; x), a, b, d 2 R, n 2 N is quasi-orthogonal of order 1 on an interval that varies with the values of the real parameters b and d. We deduce the location of (n−1) of its zeros and dis- cuss the apparent role played by the parameter a with regard to the location of the one remaining zero of this class of polynomials. We also prove re- sults on the location of the zeros of the classes 3F2(−n, b, b−n 2 ; b−n, b−n−1 2 ; x), b 2 R, n 2 N and 3F2 (−n, b, b−n 2 + 1; b − n, b−n+1 2 ; x), n 2 N, b 2 R by using the orthogonality and quasi-orthogonality of factors involved in its representation. We use Mathematica to plot the zeros of these 3F2 hypergeometric polynomials for different values of n as well as for different ranges of the pa- rameters. The numerical data is consistent with the results we have proved. The Euler integral representation of the 2F1 Gauss hypergeometric function is well known and plays a prominent role in the derivation of transformation identities and in the evaluation of 2F1(a, b; c; 1), among other applications (cf. [1], p.65). The general p+kFq+k hypergeometric function has an integral repre- sentation (cf. [37], Theorem 38) where the integrand involves pFq. In Chapter 3, we give a simple and direct proof of an Euler integral representation for a special class of q+1Fq functions for q >= 2. The values of certain 3F2 and 4F3 functions at x = 1, some of which can be derived using other methods, are deduced from our integral formula. In Chapter 4, we prove that the zeros of 2F1 (−n, n+1 2 ; n+3 2 ; z) asymptotically approach the section of the lemniscate {z : |z(1 − z)2| = 4 27 ;Re(z) > 1 3} as n ! 1. In recent papers (cf. [31], [32], [34], [35]), Mart´ınez-Finkelshtein and Kuijlaars and their co-authors have used Riemann-Hilbert methods to derive the asymptotic distribution of Jacobi polynomials P(an,bn) n when the limits A = lim n!1 an n and B = lim n!1 Bn n exist and lie in the interior of certain specified regions in the AB-plane. Our result corresponds to one of the transitional or boundary cases for Jacobi polynomials in the Kuijlaars Mart´ınez-Finkelshtein classification.

The Question of Self-induced Insanity The aim of this thesis is to cover the question of self-induced insanity in its complexity. The thesis is divided into eleven chapters, in which this part of criminal law is analysed. The topic of criminal liability of insane offenders (even those insane due to their own conduct) represents an interesting part of criminal law. One of the main reasons is the fact that the solution to the problem of criminal liability of insane offenders can lead to the breach of one of the main principles of criminal law - the principle of culpability - on one hand, or to the failure of one of the main functions of the criminal law - the protection of society and its interest and values against the most dangerous conduct prohibited by the law - on the other. The text is concerned mainly with the current legal arrangement of self-induced insanity in the Czech Republic. The legal arrangement in effect adopted the theoretical concept of a special criminal offense and a full criminal liability for the actio libera in causa construction. These provisions deal with situations, where the offender through the voluntary application of addictive substances caused his own insanity and in this state committed an act which would constitute a crime were it not for the absence of the...

Resumo: Nesse trabalho propõe-se uma adaptação do método barreira penalidade quasi-Newton apresentado por P. Armand em 2003, para a resolução do problema do Fluxo de Potência Ótimo (FPO). Este método é denominado de método da função langrangiana barreira penalidade adaptada. Neste método as restrições de desigualdade são transformadas em igualdade pelo uso de variáveis de folga positivas. Estas variáveis são relaxadas, utilizando-se variáveis positivas, as quais, são incorporadas na função objetivo através de um termo de penalização. O novo problema restrito é então transformado em irrestrito associando a uma função lagrangiana às restrições de igualdade e uma função barreira penalidade às restrições de desigualdade. o algoritmo é composto por um ciclo interno e um externo. No ciclo interno é utilizado um método quasi-Newton para o cálculo das direções de busca e é determinado o tamanho do passo. No ciclo externo os parâmetros de barreira e penalidade são atualizados através de regras pré-definidas até que as condições de KKT sejam satisfeitas. Testes computacionais foram realizados utilizando problemas matemáticos e o problema de FPO, os quais demonstram a eficiência da adaptação proposta / Abstract: This work proposes an adaptation of the quasi-Newton penalty barrier method presented by P. Armand in 2003. for the solution of the Optimal Power Flow (OPD) problem. This method is called method adapted penalty barrier lagrangian function. In this method the inequalities constraint are transformed in equality by adding non-negative slack variable. These variables are relaxed by positive auxiliary variables which are incorporated in the objective function through a penalty term. The new constraint problem is transformed in unconstraint by associating an lagrangian function for handling the equality constraint and an penalty barrier function for treating the inequality constraints. The algorithm is composed by an internal and external cycle. In the interanal cycle is used the quasi-Newton method to determine the search directions and the step size is calculated. In the external cycle the barrier parameters are updated through predefined rules until the KKT conditions are satisfied. Computational tests were accomplished using mathematical problems and the OPF problem which demonstrate the efficiency of the propose adaptation / Orientador: Edméa Cássia Baptista / Coorientador: Vanusa Alves de Sousa / Banca: Geraldo Roberto Martins da Costa / Banca: Antonio Roberto Balbo / Mestre

Applying basic linguistic theory, a grammatical analysis of Gothic verbs formed with the previously underdescribed quasi-prefix (or preverb) miþ- shows that it forms what could be called an atypical type of applicative, though in two cases it seems instead to mark verbal congruence to an adverbial. Of the possible meanings of the etymologically identical preposition miþ, the comitative seems most salient for the quasi-prefix. An introduced core argument in these constructions do not behave like a typicaltransitive object, as it cannot be passivised, and so is likely rather an extension E (or indirect object) to the core. An underlying transitive object O remains as is, and can be passivised. The construction is only used when E pertains to the topic of the discourse, either an overlapping or a new topic. It is never a background comment, as is attested with peripheral arguments. The dative case of the introduced E seems to be semantically motivated, it being thecombination—comparable to a complex case marking—of the preposition and the quasi-prefix with the dative case that signals the comitative meaning. This construction is formally unrestrained, being applied to intransitive, ambitransitive, and transitive verbs, either with or without vowel gradation. In most cases the introduced E has a human referent, but it can also be a concrete object or an abstract. It cannot be inferred from this investigation whether Gothic allowed more than one applicative construction to be applied to the same verb. It would seem there are indications that this construction might have been a relatively new and developing construction in Gothic. In the verbal template, miþ- occupies the outermost position, in itself an indication of late grammaticalization. The one extant exception to this position could indicate an uncertainty of the translator regarding as to which its proper place was. The two instances with both miþ- and a comitative adverbial suggest—unless an artifact of translation—a possible development from peripheral argument to an atypical E-introducing applicative via verbal congruence.

Nosso objetivo e estudar os principais mecanismos de foto absorção no ANTPOT.232 TH entre 7 e 60 Mev, ressonâncias gigantes e mecanismo do quase-deuteron, associados ao decaimento por fissão. Para isso, fizemos medidas da seção de choque de eletrofissão no ANTPOT.232 TH, entre as energias de 7 a 60 Mev, no laboratório do acelerador linear do IFUSP. Utilizamos, na analise, o formalismo dos fótons virtuais, que relaciona a seção de choque de fotofissão a seção de choque de eletrofissão. Foi utilizada a seção de choque de fotofissão medida em livermore e calculamos a seção de choque de fotoabsorção e2 (t=0 e t=1), além da seção de choque de fotoabsorção obtida via quase-deuteron. Verificamos que a contribuição predominante para a seção de choque de eletrofissão e a da componente de dipolo elétrico, sendo as demais contribuições (quadrupolo elétrico e modelo modificado do quase-deuteron) uma ordem de grandeza inferior a esta. / Our objective is to study the main photoabsorption mechanisms in 232T]n between 7 and 60 Mev, namely, Giant Resonances and Quasi-Deuteron, associated to fission decay. We performed electrofission measurements at the linear accelerator of IFUSP. In the analysis, the Virtual Photon Formalism, that relates the photofission cross section to the electrofission cross section, was used. In the calculations, the photofission cross section measured at Livermore Laboratory was used. The E2 photoabsorption and quasi-deuteron photoabsorption cross sections were calculated. We concluded that the most important contribution to the electrofission cross section comes from the El- giant resonance component, the other ones (E2 giant resonance component and quasi-deuteron mechanisms) being 1 or 2% of total electrofission cross section.

Buracos negros têm as suas oscilações próprias, que são chamadas modos quase-normais. As oscilações próprias de buracos negros astrofísicos podem ser observadas no futuro mais próximo com a ajuda de detectores de ondas gravitacionais. Os modos quase-normais são também muito importantes no contexto de teste da estabilidade de objetos negros, da correspondência anti-deSitter/ Teoria Campos Conformes (AdS/CFT) e nas teorias em dimensões mais altas, como os cenários de mundo-brana e teoria das cordas. Esta tese revê um numero de trabalhos, que fornecem um estudo completo do espectro quase normal de grande classe de buracos negros em quatro e mais altas dimensões para campos de vários spins e perturbações gravitacionais. Foi estudada numericamente a dependência dos modos quase-normais sobre um numero de fatores, como a presença da constante cosmológica, o parâmetro de Gauss-Bonnet ou o a éter no espaco-tempo, a dependência do espectro sobre os parâmetros do buraco negro e os campos em consideração. Pela analise do espectro quase-normal, foi estudada a estabilidade de buracos negros Reissner-Nordstrom-de Sitter em dimensões mais altas, buracos negros de Kaluza-Klein com horizontes esmagados, buracos negros de Gauss-Bonnet e cordas negras. Uma atenção especial foi prestada à evolução de campos massivos no contexto de vários buracos negros. Foram considerados os seus toques quase-normais e as caudas de tempo tardio. Alem disso, foram apresentadas duas novas técnicas numéricas: uma generalização da melhora de Nollert para do método de Frobenius para problemas em dimensões mais altas e um método qualitativamente novo, que permite calcular freqüências quase-normais de buracos negros, cujas métricas não são conhecidas analiticamente. Também foi considerada uma possibilidade da construção do análogo acústico do buraco negro de Schwarzschild. / Black holes have their proper oscillations, which are called the quasi-normal modes. The proper oscillations of astrophysical black holes can be observed in the nearest future with the help of gravitational wave detectors. Quasi-normal modes are also very important in the context of testing of the stability of black objects, the anti-de Sitter/ Conformal Field Theory (AdS/CFT) correspondence and in higher dimensional theories, such as the brane-world scenarios and string theory. This dissertation reviews a number of works, which provide a thorough study of the quasi-normal spectrum of a wide class of black holes in four and higher dimensions for fields of various spin and gravitational perturbations. We have studied numerically the dependance of the quasi-normal modes on a number of factors, such as the presence of the cosmological constant, the Gauss-Bonnet parameter or the aether in the space-time, the dependance of the spectrum on parameters of the black hole and fields under consideration. By the analysis of the quasi-normal spectrum, we have studied the stability of higher dimensional Reissner-Nordstr¨om-de Sitter black holes, Kaluza-Klein black holes with squashed horizons, Gauss-Bonnet black holes and black strings. Special attention is paid to the evolution of massive fields in the background of various black holes. We have considered their quasi-normal ringing and the late-time tails. In addition, we present two new numerical techniques: a generalisation of the Nollert improvement of the Frobenius method for higher dimensional problems and a qualitatively new method, which allows to calculate quasi-normal frequencies for black holes, which metrics are not known analytically. Also we considered a possibility of construction of the acoustic analogue of the Schwarzschild black hole.

Sejam K um corpo algebricamente fechado, A uma K-álgebra básica conexa de dimensão finita sobre K e ê=(e_1,e_2,... ,e_n) um conjunto completo de idempotentes ortogonais, primitivos e ordenados de A. O conjunto dos módulos estandares é o conjunto Delta ={ D_1, ..., D_n }, onde D_i é o quociente maximal do A-módulo projetivo P_i com fatores de composição simples S_j, com j\\leq i, F(Delta) é a subcategoria plena de mod A dos módulos têm uma Delta-filtração. Se A_A esta em F(Delta) diz-se que A é uma álgebra estandarmente estratificada. Se, além disso, para cada elemento em Delta vale que End_A(D_i) é isomorfo a K diz-se que A é uma álgebra álgebra quase-hereditária. Nesta dissertação estudamos as propriedades de F(Delta), especialmente quando A é estandarmente estratificada, e algumas condições necessárias e suficientes para que A seja quase-hereditária. / Let K be an algebraically closed field, A a basic, connected, finite dimensional K-algebra and ê=(e_1,e_2,...,e_n) a complete set of ordered primitive orthogonal idempotents of A. The set of standard modules is the set Delta={D_1, ..., D_n}, where D_i is the maximal factor submodule of P_i whose composition factors are isomorphic to S_j, for j\\leq i. We denote by F(Delta) the full subcategory of mod A containing the modules which are filtered by modules in Delta. If iA_A is in F(Delta) we say that A is standardly stratified. Moreover, if End_A(D_i) is isomorphic with K, for each element in Delta we say that A is quasi hereditary. In this work we study the properties of the category F(Delta), especially when A is stardardly stratified, and some necessary and sufficient conditions to A be quasi hereditary.

Document intends to re-establish Hom-Lie algebra theory for a wider class of morphisms on the underlying coefficient algebra. A look is taken into deformed Witt and Virasoro algebras and a new direction is taken into further quasi-Hom-Lie VIrasoro-type extensions for different Witt algebras.

A pesquisa permeia a contabilidade e autogestão existentes nos empreendimentos econômicos solidários, em que o modelo de gestão é democrático e participativo e requer ferramentas contábeis compatíveis com suas características. O objetivo é verificar se a aplicação de técnica de ensino-aprendizagem contábil baseada nas rotinas gerenciais e demandas dos usuários contribui com a decodificação da informação contábil, colaborando com o controle gerencial dos empreendimentos. Assim, foi feito experimento em que no pré-teste foi analisado o entendimento contábil no que tange ao conteúdo informacional, sua utilidade e domínio. No pós-teste foi feita análise dos efeitos da aplicação da técnica sobre esses entendimentos. O estudo foi realizado com 16 cooperativas pertencentes à Incubadora Social da Universidade Federal de Goiás e a coleta de dados foi realizada por meio de entrevistas estruturadas, observações e análise de registros. Estas foram transcritas e analisadas pelo método de análise de conteúdo, que consistiu em organizar categorias conceituais representantes do entendimento contábil testado, designada pela ocorrência ou expressão nos dados transcritos. A análise dos resultados foi feita pelo teste não-paramétrico, Postos Sinalizados de Wilcoxon. Os resultados apresentados não demonstraram diferenças significativas com relação ao entendimento contábil dos diretores e não diretores antes e depois da intervenção. Limitações como amostra e a rotatividade de pessoas na cooperativa denotam a necessidade de haver formações recorrentes para os cooperados. Para futuras pesquisas fica o tempo de curso ser prolongado permitindo a participação recorrente e de mais cooperados. Como implicações práticas têm-se a percepção dos cooperados na necessidade de ter e entender as ferramentas e controles para administrar à cooperativa. / The research permeates the existing accounting and self-management in solidarity economic enterprises in the management model is democratic and participatory and requires accounting tools compatible with its features. The objective is to verify whether the application of accounting teaching-learning technique based on management routines and demands of users contribute to the decoding of accounting information, collaborating with the management control of enterprises. So it was done experiment in which the pre-test was analyzed accounting understanding with respect to information content, its usefulness and domain. In the post-test was made analysis of the effects of the technical application of these understandings. The study was conducted with 16 cooperatives belonging to the Social Incubator of the Federal University of Goiás and the data collection was carried out through structured interviews, observations, and analysis of records. These were transcribed and analyzed by the method of analysis of content, which consisted of representatives of the organizing conceptual categories accounting understanding tested, designated by the occurrence or expression in the transcribed data. The analysis was done by non-parametric test, Wilcoxon Signed Posts. The results presented showed no significant differences with respect to the accounting understanding of the directors and not officers before and after the intervention. Limitations as sample and turnover of people in the cooperative denote the need for recurrent training for the members. For future research is the time course be extended allowing the applicant and more cooperative participation. How practical implications have the perception of the cooperative members on the need to have and understand the tools and controls to manage the cooperative.