On differentiability and analyticity of positive definite functions

We derive a set of differential inequalities for positive definite functions based on previous results derived for positive definite kernels by purely algebraic methods. Our main results show that the global behavior of a smooth positive definite function is, to a large extent, determined solely by the sequence of even-order derivatives at the origin: if a single one of these vanishes then the function is constant; if they are all non-zero and satisfy a natural growth condition, the function is real-analytic and consequently extends holomorphically to a maximal horizontal strip of the complex plane.

Complex variable positive definite functions

In this paper we develop an appropriate theory of positive definite functions on the complex plane from first principles and show some consequences of positive definiteness for meromorphic functions.

A inspecção da educação na República Democrática de São Tomé e Príncipe: concepções, dinâmicas e estruturas organizacionais

Dissertação apresentada à Escola Superior de Educação de Lisboa para Obtenção de Grau de Mestre em Ciências da Educação - Especialização em Supervisão da Educação

Checklist cirúrgica: contributo para uma intervenção na área da segurança do doente

Mestrado em Intervenção Sócio-Organizacional na Saúde - Área de especuialização: Políticas de administração e gestão de serviços de saúde.

Strong and weak Allee effects and chaotic dynamics in Richards' growths

In this paper we define and investigate generalized Richards' growth models with strong and weak Allee effects and no Allee effect. We prove the transition from strong Allee effect to no Allee effect, passing through the weak Allee effect, depending on the implicit conditions, which involve the several parameters considered in the models. New classes of functions describing the existence or not of Allee effect are introduced, a new dynamical approach to Richards' populational growth equation is established. These families of generalized Richards' functions are proportional to the right hand side of the generalized Richards' growth models proposed. Subclasses of strong and weak Allee functions and functions with no Allee effect are characterized. The study of their bifurcation structure is presented in detail, this analysis is done based on the configurations of bifurcation curves and symbolic dynamics techniques. Generically, the dynamics of these functions are classified in the following types: extinction, semi-stability, stability, period doubling, chaos, chaotic semistability and essential extinction. We obtain conditions on the parameter plane for the existence of a weak Allee effect region related to the appearance of cusp points. To support our results, we present fold and flip bifurcations curves and numerical simulations of several bifurcation diagrams.

O Balanced Scorecard: estudo do processo e mecanismos para ser uma ferramenta imprescindível no contexto organizacional

Mestrado em Contabilidade

A supervisão nas estruturas intermédias do 1º ciclo: as coordenações de ano

Dissertação apresentada à Escola Superior de Educação de Lisboa para obtenção do grau de mestre em Ciências da Educação, especialidade em Supervisão em Educação

Big bang bifurcations in von Bertalanffy’s dynamics with strong and weak Allee effects

The main purpose of this work was to study population dynamic discrete models in which the growth of the population is described by generalized von Bertalanffy's functions, with an adjustment or correction factor of polynomial type. The consideration of this correction factor is made with the aim to introduce the Allee effect. To the class of generalized von Bertalanffy's functions is identified and characterized subclasses of strong and weak Allee's functions and functions with no Allee effect. This classification is founded on the concepts of strong and weak Allee's effects to population growth rates associated. A complete description of the dynamic behavior is given, where we provide necessary conditions for the occurrence of unconditional and essential extinction types. The bifurcation structures of the parameter plane are analyzed regarding the evolution of the Allee limit with the aim to understand how the transition from strong Allee effect to no Allee effect, passing through the weak Allee effect, is realized. To generalized von Bertalanffy's functions with strong and weak Allee effects is identified an Allee's effect region, to which is associated the concepts of chaotic semistability curve and Allee's bifurcation point. We verified that under some sufficient conditions, generalized von Bertalanffy's functions have a particular bifurcation structure: the big bang bifurcations of the so-called box-within-a-box type. To this family of maps, the Allee bifurcation points and the big bang bifurcation points are characterized by the symmetric of Allee's limit and by a null intrinsic growth rate. The present paper is also a significant contribution in the framework of the big bang bifurcation analysis for continuous 1D maps and unveil their relationship with the explosion birth and the extinction phenomena.

Quantifying chaos for ecological stoichiometry

The theory of ecological stoichiometry considers ecological interactions among species with different chemical compositions. Both experimental and theoretical investigations have shown the importance of species composition in the outcome of the population dynamics. A recent study of a theoretical three-species food chain model considering stoichiometry [B. Deng and I. Loladze, Chaos 17, 033108 (2007)] shows that coexistence between two consumers predating on the same prey is possible via chaos. In this work we study the topological and dynamical measures of the chaotic attractors found in such a model under ecological relevant parameters. By using the theory of symbolic dynamics, we first compute the topological entropy associated with unimodal Poincareacute return maps obtained by Deng and Loladze from a dimension reduction. With this measure we numerically prove chaotic competitive coexistence, which is characterized by positive topological entropy and positive Lyapunov exponents, achieved when the first predator reduces its maximum growth rate, as happens at increasing delta(1). However, for higher values of delta(1) the dynamics become again stable due to an asymmetric bubble-like bifurcation scenario. We also show that a decrease in the efficiency of the predator sensitive to prey's quality (increasing parameter zeta) stabilizes the dynamics. Finally, we estimate the fractal dimension of the chaotic attractors for the stoichiometric ecological model.

Estudo dos indicadores de qualidade e de risco na interaça o mãe-filho(a)

O presente estudo tem como principal objetivo identificar na interação mãe- bebés de 3 meses, indicadores de risco e de qualidade e, consequentemente, criar um guião que ajude os profissionais a identificar esses mesmos indicadores. Para o efeito observámos 30 díades mãe-filho(a) em jogo livre distribuídas em dois grupos: 1) 12 díades sem condições assinaláveis de risco e 2) 18 díades em risco socioeconómico. O comportamento interativo dos bebés e das mães foi avaliado através do Child-Adult Relashionship Experimental, designado pela autora de CARE-Index (Crittenden, 2003). Os comportamentos maternos e infantis foram cotados de acordo com os 7 aspetos do comportamento diádico: Expressão Facial, Expressão Verbal, Posição e Contato Corporal, Afetividade, Reciprocidade, Diretividade e Escolha da Atividade. Os resultados do nosso estudo revelam que as díades mãe-filho(a) sem condições assinaláveis de risco apresentam interações mais positivas, recíprocas e ajustadas à idade das crianças do que as díades sujeitas a condições de risco e que o comportamento materno sensível e responsivo surge associado ao comportamento cooperativo infantil e negativamente correlacionado com a dificuldade infantil, enquanto que uma postura controladora, diretiva ou punitiva da mãe surge positivamente correlacionada com a submissão e evitamento infantil. Por fim, encontramos associados a comportamentos maternos sensíveis uma variabilidade de comportamentos infantis desde satisfação, coerção, procura de proximidade ou evitamento. Na discussão dos resultados apresentamos um script dos indicadores de qualidade e de risco do comportamento materno. - Abstract This study main goal was to study mother-infant quality of interaction in dyads with 3 months babies. Moreover, our goal was to explore maternal and infant key behaviors that shape the quality of the interaction in order to organize a script that helps professionals to identify these critical interactive behaviors. To this end we observed 30 mother-child dyads (a) in free play interaction divided into two groups: 1) 12 dyads without any known risk condition and 2) 18 dyads at socioeconomic risk. The interactive behavior of infants and mothers was assessed using the Child-Adult Relationship Experimental, designated by the author of CARE-Index (Crittenden, 2003). The maternal and infant behaviors were rated according to seven aspects of dyadic behavior: Facial Expression, Verbal Expression, Position and Contact Body, Affection, Reciprocity, Directivity and Choice of Activity. Findings indicate that mother-child dyads without know risk conditions are more likely to present positive interactions, reciprocal and age-adjusted than dyads at risk. The sensitive and responsive maternal behavior emerges associated with children's cooperative behavior and negatively correlated with infant difficultness, while a controlling or punitive maternal behavior is positively correlated with infant compliance and avoidance. Finally, sensitive maternal behaviors were associated with a variability of child behaviors, from satisfaction, coercion, avoidance or proximity search. In the results discussion we present a script of the quality and risks indicators of maternal behavior.

O desenvolvimento profissional docente: a função supervisiva do coordenador de ano do 1º ciclo

Dissertação apresentada à Escola Superior de Educação de Lisboa para obtenção de grau de mestre em Ciências da Educação, especialidade de Supervisão em Educação

A comparação da qualidade dos momentos de interação em jogo livre entre mãe/ filho - pai /filho e mãe/criança – técnica/criança entre os 13 e 15 meses de idade

Dissertação apresentada para obtenção do grau de Mestre em Ciências da Educação Área de especialização em Intervenção Precoce

De Vaganova a Bournonville : a interdisciplinaridade entre as aulas de Técnica de Dança Clássica, Repertório Clássico e Oficina Coreográfica - 7º ano da Escola de Dança do Conservatório Nacional

Relatório Final de Estágio apresentado à Escola Superior de Dança, com vista à obtenção do grau de Mestre em Ensino de Dança.

A gestão orçamental como instrumento de avaliação do desempenho e apoio à decisão - o caso da Associação WavEC

Mestrado em Contabilidade

Optical nonlinearity in Tandem SI-C photodetectors

The behavior of tandem pin heterojunctions based on a-SiC: H alloys is investigated under different optical and electrical bias conditions. The devices are optimized to act as optically selective wavelength filters. Depending on the device configuration (optical gaps, thickness, sequence of cells in the stack structure) and on the applied voltage (positive or negative) and optical bias (wavelength, intensity, frequency) it is possible to combine the wavelength discrimination function with the self amplification of the signal. This wavelength nonlinearity allows the amplification or the rejection of a weak signal-impulse. The device works as an active tunable optical filter for wavelength selection and can be used as an add/drop multiplexer (ADM) which enables data to enter and leave an optical network bit stream without having to demultiplex the stream. Results show that, even under weak transient input signals, the background wavelength controls the output signal. This nonlinearity, due to the transient asymmetrical light penetration of the input channels across the device together with the modification on the electrical field profile due to the optical bias, allows tuning an input channel without demultiplexing the stream. This high optical nonlinearity makes the optimized devices attractive for the amplification of all optical signals. Transfer characteristics effects due to changes in steady state light, control d.c. voltage and applied light pulses are presented. Based on the experimental results and device configuration an optoelectronic model is developed. The transfer characteristics effects due to changes in steady state light, dc control voltage or applied light pulses are simulated and compared with the experimental data. A good agreement was achieved.