Spectral and weak polynomial completeness for the porduct of nonsingular matrices

Let F be a field with at least four elements. In this paper, we identify all the pairs (A, B) of n x n nonsingular matrices over F , satisfying the following property: for every monic polynomial f(x) = xn + an-1xn-1 + … +a1x + aο over F, with a root in F and aο = (-1)n det(AB), there are nonsingular matrices X, Y ϵ Fnxn such that X A X-1 Y BY-1 has characteristic polynomial f (x). © 2014 © 2014 Taylor & Francis.

Spectral and weak polynomial completeness for the product of nonsingular matrices

Let F be a field with at least four elements. In this paper, we identify all the pairs (A, B) of n x n nonsingular matrices over F, satisfying the following property: for every monic polynomial f (x) = x(n) + a(n-1)x(n-1) +... + a(1)x + a(0) over F, with a root in F and a(0) = (-1)(n) det(AB), there are nonsingular matrices X, Y is an element of F-nxn such that XAX(-1)Y BY-1 has characteristic polynomial f (x).

Concepções e práticas de um centro de actividades ocupacionais

O presente trabalho tem como principal objectivo tentar conhecer e compreender as concepções educativas de um Centro de Actividades Ocupacionais face ao seu público-alvo em particular, as suas dimensões mais relevantes, os factores que as condicionam e os contextos que as limitam ou facilitam. Procurou-se conhecer as concepções e práticas dos actores educativos que intervêm na formação/educação junto de pessoas portadoras de deficiência mental adultas, clientes de um Centro de Actividades Ocupacionais, geograficamente situado em Lisboa. Para tal, elaborou-se um Estudo de Caso utilizando entrevistas semi estruturadas a sete profissionais do centro como técnica de recolha de dados, sendo estes posteriormente tratados através da análise de conteúdo. Assim, definiram-se como objectivos específicos do estudo: caracterizar as finalidades educativas do Centro de Actividades Ocupacionais; caracterizar as práticas de desenvolvimento para os adultos deficientes mentais; caracterizar o modo de participação dos clientes nas actividades: aspectos facilitadores e constrangimentos; identificar as dificuldades dos funcionários do Centro de Actividades Ocupacionais no atendimento aos clientes; caracterizar as iniciativas da instituição face à actualização profissional dos seus funcionários no sentido de fornecer respostas mais adequadas às necessidades dos clientes e, ainda, caracterizar de acordo com o ponto de vista dos actores educativos, a participação das famílias no processo de desenvolvimento dos clientes. Os resultados do estudo evidenciam que as actividades desenvolvidas no Centro de Actividades Ocupacionais se dividem entre as consideradas como socialmente úteis, como a montagem de material eléctrico, por exemplo, e as estritamente ocupacionais. Embora um dos objectivos do Centro de Actividades Ocupacionais seja a inserção do cliente na comunidade, da análise de dados ressalta que não existem muitas actividades que divulguem para o exterior o trabalho desenvolvido pelos adultos portadores de deficiência mental, promovendo pouca interacção dos indivíduos com a comunidade. As profissionais que participaram no estudo revelam motivação para trabalhar junto dos clientes e preocupação em melhorar o seu desempenho profissional, daí sentirem necessidade em adquirir formação contínua e partilhar experiências com outros profissionais. As famílias dos clientes são consideradas pelas participantes do estudo como sendo participativas no quotidiano do seu familiar, contudo existem factores que condicionam essa participação, como o envelhecimento dos progenitores. Abstract The present work aims to know and understand the educational conceptions of an Occupational Activities Center taking into consideration its target audience, particularly, its most relevant dimensions, the conditioning factors and its respective restrictive or facilitating contexts. The objective was to understand the concepts and daily practices of the educational actors that participate in the training/education of the mentally disabled adults who attend an Occupational Activities Center located in Lisbon. In that light, a Case Study was conducted using as the data collection technique semistructured interviews made to seven employees from the Center. This data was later on processed through content analysis. Thus, the following was defined as the study’s specific goals. To: characterize the educational purposes of the Occupational Activities Center; characterize development practices for the mentally disabled adults; characterize the clients’ participation process in the activities and the respective enabling and restrictive aspects; identify the Occupational Activities Center employees’ problems regarding client assistance; characterize the institution’s initiatives regarding the professional update of its employees in order to provide more adequate answers to its clients’ needs and, finally to identify from the educational actors’ perspective the participative role families’ take on when it comes to the clients’ development processes. The study results determine that the activities developed in the Occupational Activities Center are distinguished between the ones considered socially useful, such as the assembly of electric material, and the strictly occupational activities. Although one of the Occupational Activities Center goals is the insertion of the client within the community itself, the data analysis shows that there aren’t many activities that promote to the outside world the work performed by these mentally disabled adults, not advertising enough the individuals’ interaction with the community. The professional women who participated in the study show determination and motivation in working with the clients and also a concern in improving their professional performances, from this derives their need to attend continuous training and to share experiences with other professionals. The study's participants find the clients’ families involved in the daily routines of their relatives. Nonetheless, there are some factors that condition that involvement, such as the parents’ aging.

Good deals in markets with frictions

This paper studies a portfolio choice problem such that the pricing rule may incorporate transaction costs and the risk measure is coherent and expectation bounded. We will prove the necessity of dealing with pricing rules such that there exists an essentially bounded stochastic discount factor, which must be also bounded from below by a strictly positive value. Otherwise good deals will be available to traders, i.e., depending on the selected risk measure, investors can build portfolios whose (risk, return) will be as close as desired to (−infinity, infinity) or (0, infinity). This pathologic property still holds for vector risk measures (i.e., if we minimize a vector valued function whose components are risk measures). It is worthwhile to point out that essentially bounded stochastic discount factors are not usual in financial literature. In particular, the most famous frictionless, complete and arbitrage free pricing models imply the existence of good deals for every coherent and expectation bounded (scalar or vector) measure of risk, and the incorporation of transaction costs will not guarantee the solution of this caveat.

Os osteopatas em Portugal: processo de profissionalização e formação identitária

Mestrado em Intervenção Sócio-Organizacional na Saúde - Área de especialização: Qualidade e Tecnologias da Saúde.

The usefulness of ultrasound in the classification of chronic liver disease

Chronic Liver Disease is a progressive, most of the time asymptomatic, and potentially fatal disease. In this paper, a semi-automatic procedure to stage this disease is proposed based on ultrasound liver images, clinical and laboratorial data. In the core of the algorithm two classifiers are used: a k nearest neighbor and a Support Vector Machine, with different kernels. The classifiers were trained with the proposed multi-modal feature set and the results obtained were compared with the laboratorial and clinical feature set. The results showed that using ultrasound based features, in association with laboratorial and clinical features, improve the classification accuracy. The support vector machine, polynomial kernel, outperformed the others classifiers in every class studied. For the Normal class we achieved 100% accuracy, for the chronic hepatitis with cirrhosis 73.08%, for compensated cirrhosis 59.26% and for decompensated cirrhosis 91.67%.

O regime da arbitragem tributária

Mestrado em Fiscalidade

Práticas de avaliação formativa na aula de matemática: um estudo no 2º ciclo

Dissertação apresentada à Escola Superior de Educação de Lisboa para obtenção de grau de mestre em Educação Matemática na Educação Pré- Escolar e nos 1º e 2º Ciclo do Ensino Básico

Efficient Implementation Of A Single-Precision Floating-Point Arithmetic Unit on FPGA

This paper presents a single precision floating point arithmetic unit with support for multiplication, addition, fused multiply-add, reciprocal, square-root and inverse squareroot with high-performance and low resource usage. The design uses a piecewise 2nd order polynomial approximation to implement reciprocal, square-root and inverse square-root. The unit can be configured with any number of operations and is capable to calculate any function with a throughput of one operation per cycle. The floatingpoint multiplier of the unit is also used to implement the polynomial approximation and the fused multiply-add operation. We have compared our implementation with other state-of-the-art proposals, including the Xilinx Core-Gen operators, and conclude that the approach has a high relative performance/area efficiency. © 2014 Technical University of Munich (TUM).

Densities and refractive indices for the ternary mixture methanol/propan-1-Ol/acetonitrile

Refractive indices, n(D), and densities, rho, at 298.15 K were measured for the ternary mixture methanol (MeOH)/propan-1-ol (1-PrOH)/acetonitrile (MeCN) for a total of 22 mole fractions, along with 18 mole fractions of each of the corresponding binary mixtures, methanol/propan-1-ol, propan-1-ol/acetonitrile and methanol/acetonitrile. The variation of excess refractive indices and excess molar volumes with composition was modeled by the Redlich-Kister polynomial function in the case of binary mixtures and by the Cibulka equation for the ternary mixture. A thermodynamic approach to excess refractive indices, recently proposed by other authors, was applied for the first time to ternary liquid mixtures. Structural effects were identified and interpreted both in the binary and ternary systems. A complex relationship between excess refractive indices and excess molar volumes was identified, revealing all four possible sign combinations between these two properties. Structuring of the mixtures was also discussed on the basis of partial molar volumes of the binary and ternary mixtures.

Avaliação do potencial eólico para geração de energia eléctrica

Trabalho Final de Mestrado para a obtenção do grau de Mestre em Engenharia Mecânica /Energia

Partial classification of Lorenz knots: Syllable permutations of torus knots words

We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable permutations of symbolic words corresponding to torus knots. An algorithm to construct symbolic words of satellite Lorenz knots is defined. We prove, subject to the validity of a previous conjecture, that Lorenz knots coded by some of these families of words are hyperbolic, by showing that they are neither satellites nor torus knots and making use of Thurston's theorem. Infinite families of hyperbolic Lorenz knots are generated in this way, to our knowledge, for the first time. The techniques used can be generalized to study other families of Lorenz knots.

Soliton-type and other travelling wave solutions for an improved class of nonlinear sixth-order Boussinesq equations

An improved class of nonlinear bidirectional Boussinesq equations of sixth order using a wave surface elevation formulation is derived. Exact travelling wave solutions for the proposed class of nonlinear evolution equations are deduced. A new exact travelling wave solution is found which is the uniform limit of a geometric series. The ratio of this series is proportional to a classical soliton-type solution of the form of the square of a hyperbolic secant function. This happens for some values of the wave propagation velocity. However, there are other values of this velocity which display this new type of soliton, but the classical soliton structure vanishes in some regions of the domain. Exact solutions of the form of the square of the classical soliton are also deduced. In some cases, we find that the ratio between the amplitude of this wave and the amplitude of the classical soliton is equal to 35/36. It is shown that different families of travelling wave solutions are associated with different values of the parameters introduced in the improved equations.

On the requirements of interpolating polynomials for path motion constraints

In the framework of multibody dynamics, the path motion constraint enforces that a body follows a predefined curve being its rotations with respect to the curve moving frame also prescribed. The kinematic constraint formulation requires the evaluation of the fourth derivative of the curve with respect to its arc length. Regardless of the fact that higher order polynomials lead to unwanted curve oscillations, at least a fifth order polynomials is required to formulate this constraint. From the point of view of geometric control lower order polynomials are preferred. This work shows that for multibody dynamic formulations with dependent coordinates the use of cubic polynomials is possible, being the dynamic response similar to that obtained with higher order polynomials. The stabilization of the equations of motion, always required to control the constraint violations during long analysis periods due to the inherent numerical errors of the integration process, is enough to correct the error introduced by using a lower order polynomial interpolation and thus forfeiting the analytical requirement for higher order polynomials.