Children, space, and the urban street: an ethnomathematics posture

Dissertation presented for the PhD Degree in Education Science – Curricular Theory and Science Teaching, by Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia

Big Bang bifurcations and allee effect in Blumberg’s dynamics

This paper concerns dynamics and bifurcations properties of a class of continuous-defined one-dimensional maps, in a three-dimensional parameter space: Blumberg's functions. This family of functions naturally incorporates a major focus of ecological research: the Allee effect. We provide a necessary condition for the occurrence of this phenomenon, associated with the stability of a fixed point. A central point of our investigation is the study of bifurcations structure for this class of functions. We verified that under some sufficient conditions, Blumberg's functions have a particular bifurcations structure: the big bang bifurcations of the so-called "box-within-a-box" type, but for different kinds of boxes. Moreover, it is verified that these bifurcation cascades converge to different big bang bifurcation curves, where for the corresponding parameter values are associated distinct attractors. This work contributes to clarify the big bang bifurcation analysis for continuous maps. To support our results, we present fold and flip bifurcations curves and surfaces, and numerical simulations of several bifurcation diagrams.

Approximate entropy normalized measures for analyzing social neurobiological systems

When considering time series data of variables describing agent interactions in social neurobiological systems, measures of regularity can provide a global understanding of such system behaviors. Approximate entropy (ApEn) was introduced as a nonlinear measure to assess the complexity of a system behavior by quantifying the regularity of the generated time series. However, ApEn is not reliable when assessing and comparing the regularity of data series with short or inconsistent lengths, which often occur in studies of social neurobiological systems, particularly in dyadic human movement systems. Here, the authors present two normalized, nonmodified measures of regularity derived from the original ApEn, which are less dependent on time series length. The validity of the suggested measures was tested in well-established series (random and sine) prior to their empirical application, describing the dyadic behavior of athletes in team games. The authors consider one of the ApEn normalized measures to generate the 95th percentile envelopes that can be used to test whether a particular social neurobiological system is highly complex (i.e., generates highly unpredictable time series). Results demonstrated that suggested measures may be considered as valid instruments for measuring and comparing complexity in systems that produce time series with inconsistent lengths.

Spatial dynamics of team sports exposed by Voronoi diagrams

Team sports represent complex systems: players interact continuously during a game, and exhibit intricate patterns of interaction, which can be identified and investigated at both individual and collective levels. We used Voronoi diagrams to identify and investigate the spatial dynamics of players' behavior in Futsal. Using this tool, we examined 19 plays of a sub-phase of a Futsal game played in a reduced area (20 m(2)) from which we extracted the trajectories of all players. Results obtained from a comparative analysis of player's Voronoi area (dominant region) and nearest teammate distance revealed different patterns of interaction between attackers and defenders, both at the level of individual players and teams. We found that, compared to defenders, larger dominant regions were associated with attackers. Furthermore, these regions were more variable in size among players from the same team but, at the player level, the attackers' dominant regions were more regular than those associated with each of the defenders. These findings support a formal description of the dynamic spatial interaction of the players, at least during the particular sub-phase of Futsal investigated. The adopted approach may be extended to other team behaviors where the actions taken at any instant in time by each of the involved agents are associated with the space they occupy at that particular time.

A expressão dramática no desenvolvimento da formação pessoal e social da criança em idade pré-escolar

Relatório da Prática Profissional Supervisionada Mestrado em Educação Pré-Escolar

Chronic disease prevention and health promotion. Public policies and social network analysis of the hospitals services and oyhers health and social organizations to support joint action for children with diabetes

Comunicação apresentada na 18th Conference International of Health Promotion Hospitals & Health Services "Tackling causes and consequences of inequalities in health: contributions of health services and the HPH network", em Manchester de 14-16 de april de 2010

Symbolic dynamics and big bang bifurcation in Weibull-Gompertz-Fréchet's growth models

In this paper, motivated by the interest and relevance of the study of tumor growth models, a central point of our investigation is the study of the chaotic dynamics and the bifurcation structure of Weibull-Gompertz-Fréchet's functions: a class of continuousdefined one-dimensional maps. Using symbolic dynamics techniques and iteration theory, we established that depending on the properties of this class of functions in a neighborhood of a bifurcation point PBB, in a two-dimensional parameter space, there exists an order regarding how the infinite number of periodic orbits are born: the Sharkovsky ordering. Consequently, the corresponding symbolic sequences follow the usual unimodal kneading sequences in the topological ordered tree. We verified that under some sufficient conditions, Weibull-Gompertz-Fréchet's functions have a particular bifurcation structure: a big bang bifurcation point PBB. This fractal bifurcations structure is of the so-called "box-within-a-box" type, associated to a boxe ω1, where an infinite number of bifurcation curves issues from. This analysis is done making use of fold and flip bifurcation curves and symbolic dynamics techniques. The present paper is an original contribution in the framework of the big bang bifurcation analysis for continuous maps.

Chromatin dynamics in Arbidopsis development: a live cell imaging approach

Dissertation presented to obtain the Ph.D degree in Biology

Contributos legislativos para a criação de empresas cooperativas: a livre fixação do capital social

Num contexto em que as dinâmicas europeias em matéria de empreendedorismo e empresas sociais apelam à melhoria do ambiente legal, este estudo debruça-se sobre a oportunidade da consagração do princípio da livre fixação nos estatutos da cooperativa do montante do capital social. Esta solução legislativa permitirá reduzir os custos de contexto para a constituição da cooperativa e evitar o risco de fuga para formas societárias com regimes mais favoráveis em matéria de capital social mínimo. Constata-se que nas cooperativas, mais intensamente do que nas sociedades comerciais, o capital social mínimo não desempenha eficientemente as funções que lhe são tradicionalmente atribuídas. Conclui-se, igualmente, que a avaliação do nível de capitalização das cooperativas não pode atender apenas a este instituto, devendo ter em conta o património da cooperativa ressalvado para garantia dos credores, com particular destaque para a reserva legal.

Fractional State Space Analysis of Temperature Time Series

Atmospheric temperatures characterize Earth as a slow dynamics spatiotemporal system, revealing long-memory and complex behavior. Temperature time series of 54 worldwide geographic locations are considered as representative of the Earth weather dynamics. These data are then interpreted as the time evolution of a set of state space variables describing a complex system. The data are analyzed by means of multidimensional scaling (MDS), and the fractional state space portrait (fSSP). A centennial perspective covering the period from 1910 to 2012 allows MDS to identify similarities among different Earth’s locations. The multivariate mutual information is proposed to determine the “optimal” order of the time derivative for the fSSP representation. The fSSP emerges as a valuable alternative for visualizing system dynamics.

Viver mais... Pensar o passado, viver o presente e sonhar o futuro Projeto de Investigação e Intervenção em Educação Social

Este relatório é o resultado descritivo e reflexivo de um Projeto de Educação e Intervenção Social, "Viver mais... Pensar o passado, viver o presente e sonhar o futuro", desenvolvido com um grupo de idosos do Centro de Caridade Nossa Senhora do Perpetuo Socorro. O projeto de investigação e de intervenção social seguiu as linhas metodológicas da Investigação Ação Participativa, em que os sujeitos são atores participativos e interventivos. Para o desenvolvimento deste projeto foi necessário recorrer a algumas técnicas de investigação, como a observação participante, conversas intencionais e análise documental, que facilitaram a recolha de informações, a análise da realidade e a intervenção desenvolvida. A partir da análise da realidade emergiram alguns problemas e necessidades que foram priorizados pelos sujeitos, daí surgiu o projeto de intervenção que aqui se apresenta com a finalidade de “Melhorar a qualidade de vida dos idosos do Centro de Dia do Centro de Caridade Nossa Senhora do Perpetuo Socorro, através da valorização das suas histórias de vida e melhoria das relações interpessoais”. Este projeto teve três grandes focos importantes que foi a recolha e construção das narrativas de vida de alguns participantes, a realização de vários encontros intergeracionais entre os idosos do Centro de Dia e as crianças do Jardim de Infância e o processo de consciencialização por parte dos idosos sobre a importância do grupo para o bem-estar pessoal, a gestão de conflitos e a melhoria das dinâmicas relacionais. Os resultados do projeto foram relevantes porque foram o produto de um processo reflexivo e de partilha entre os indivíduos, que favoreceu o desenvolvimento de um sentimento de utilidade e de valorização pessoal nos sujeitos, melhorando e fortalecendo assim as relações interpessoais entre eles.

Potencial Utilização de um Enterprise Resource Planning System para Suportar Práticas de Gestão de Conhecimento nas Organizações. Uma Aplicação com Dynamics Nav da Microsoft

Dissertação apresentada como requisito parcial para obtenção do grau de Mestre em Estatística e Gestão de Informação

Identity dynamics in non-profit organizations: Ideological and methodological identity orientations

A Work Project, presented as part of the requirements for the Award of a Masters Degree in Management from the NOVA – School of Business and Economics

Studying urban space and literary representations using GIS: Lisbon, Portugal, 1852-2009

This article proposes a methodology to address the urban evolutionary process, demonstrating how it is reflected in literature. It focuses on “literary space,” presented as a territory defined by the period setting or as evoked by the characters, which can be georeferenced and drawn on a map. It identifies the different locations of literary space in relation to urban development and the economic, political, and social context of the city. We suggest a new approach for mapping a relatively comprehensive body of literature by combining literary criticism, urban history, and geographic information systems (GIS). The home-range concept, used in animal ecology, has been adapted to reveal the size and location of literary space. This interdisciplinary methodology is applied in a case study to nineteenth- and twentieth-century novels involving the city of Lisbon. The developing concepts of cumulative literary space and common literary space introduce size calculations in addition to location and structure, previously developed by other researchers. Sequential and overlapping analyses of literary space throughout time have the advantage of presenting comparable and repeatable results for other researchers using a different body of literary works or studying another city. Results show how city changes shaped perceptions of the urban space as it was lived and experienced. A small core area, correspondent to a part of the city center, persists as literary space in all the novels analyzed. Furthermore, the literary space does not match the urban evolution. There is a time lag for embedding new urbanized areas in the imagined literary scenario.

Social entrepreneurship as a solution provider for ageing societies in Europe

A Work Project, presented as part of the requirements for the Award of a Masters Degree in Management from the NOVA – School of Business and Economics