A class of singular first order differential equations with applications in reaction-diffusion

Agências Financiadoras: FCT e MIUR

Processos de autoformação: uma produção singular de si-próprio

Dissertação de mestrado em Ciências da Educação: área de Educação e Desenvolvimento

Dos percursos de autoformação aos processos de transformação: uma produção singular de sucesso educativo em meio rural

Dissertação de mestrado em Ciências da Educação: área de Educação e Desenvolvimento

Invariant integrals applied to nematic liquid crystals with small Ericksen number and topological defects

Invariant integrals are derived for nematic liquid crystals and applied to materials with small Ericksen number and topological defects. The nematic material is confined between two infinite plates located at y = -h and y = h (h is an element of R+) with a semi-infinite plate at y = 0 and x < 0. Planar and homeotropic strong anchoring boundary conditions to the director field are assumed at these two infinite and semi-infinite plates, respectively. Thus, a line disclination appears in the system which coincides with the z-axis. Analytical solutions to the director field in the neighbourhood of the singularity are obtained. However, these solutions depend on an arbitrary parameter. The nematic elastic force is thus evaluated from an invariant integral of the energy-momentum tensor around a closed surface which does not contain the singularity. This allows one to determine this parameter which is a function of the nematic cell thickness and the strength of the disclination. Analytical solutions are also deduced for the director field in the whole region using the conformal mapping method. (C) 2013 Elsevier Ltd. All rights reserved.

Delay approximation of fractional integrals

This paper explores the calculation of fractional integrals by means of the time delay operator. The study starts by reviewing the memory properties of fractional operators and their relationship with time delay. Based on the time response of the Mittag-Leffler function an approximation of fractional integrals consisting of time delayed samples is proposed. The tuning of the approximation is optimized by means of a genetic algorithm. The results demonstrate the feasibility of the new perspective and the limits of their application.

Identificação da actividade do sistema nervoso simpático e parassimpático em dados de pupilometria, utilizando a Singular Spectrum Analysis

Dissertação para obtenção do Grau de Mestre em Engenharia Biomédica

Polaroid : um caso singular no design

O presente texto assinala os 75 anos da formação da Polaroid e celebra a memória da popularização da fotografia instantânea e do inventor Edwin Herbert Land, fundador da Polaroid Corporation, sendo um exemplo do espírito empreendedor norte-americano que conseguia tornar as invenções em produtos de acesso fácil, chegando aos utilizadores através da sua produção massificada. A constituição da empresa é também contemporânea do nascimento do design industrial nos EUA. Os primeiros exemplares foram concebidos pelos mais notáveis pioneiros do design industrial norte-americano, nomeadamente Walter Dorwin Teague, Henry Dreyfuss e Albrecht Goertz, bem como os últimos modelos são também representativos do design de produto contemporâneo deste país, com projectos liderados pelo inovador gabinete IDEO.

Rua das Portas de Santo Antão e a singular modernidade lisboeta (1890–1925): arquitectura e práticas urbanas

Via antiga da cidade, fazendo-a comunicar com o seu termo, a Rua das Portas de Santo Antão tornou-se, nos finais do século XIX e primeiras décadas do século XX, um espaço aurático da vida cosmopolita de Lisboa onde se instalaram importantes equipamentos como o Coliseu dos Recreios, o Ateneu Comercial, a Sede da Sociedade de Geografia ou o Teatro Politeama. “Traseiras” da Avenida da Liberdade, sem a modernidade e amplidão do seu desenho urbano, a velha Rua das Portas de Santo Antão foi, na verdade, o palco não exposto da Lisboa moderna.

O âmbito de aplicação material da legislação de proteção de dados pessoais e o tratamento de imagem por pessoa singular

Images have gained a never before seen importance. Technological changes have given the Information Society extraordinary means to capture, treat and transmit images, wheter your own or those of others, with or without a commercial purpose, with no boundaries of time or country, without “any kind of eraser”. From the several different ways natural persons may engage in image processing with no commercial purpose, the cases of sharing pictures through social networks and video surveillance assume particular relevance. Consequently there are growing legitimate concerns with the protection of one's image, since its processing may sometimes generate situations of privacy invasion or put at risk other fundamental rights. With this in mind, the present thesis arises from the question: what are the existent legal instruments in Portuguese Law that enable citizens to protect themselves from the abusive usage of their own pictures, whether because that image have been captured by a smartphone or some video surveillance camera, whether because it was massively shared through a blog or some social network? There is no question the one's right to not having his or her image used in an abusive way is protected by the Portuguese constitution, through the article 26th CRP, as well as personally right, under the article 79th of the Civil Code, and finally through criminal law, articles 192nd and 193rd of the Criminal Code. The question arises in the personal data protection context, considering that one's picture, given certain conditions, is personal data. Both the Directive 95/46/CE dated from 1995 as well as the LPD from 1998 are applicable to the processing of personal data, but both exclude situations of natural persons doing so in the pursuit of activities strictly personal or family-related. These laws demand complex procedures to natural persons, such as the preemptive formal authorisation request to the Data Protection National Commission. Failing to do so a natural person may result in the application of fines as high as €2.500,00 or even criminal charges. Consequently, the present thesis aims to study if the image processing with no commercial purposes by a natural person in the context of social networks or through video surveillance belongs to the domain of the existent personal data protection law. To that effect, it was made general considerations regarding the concept of video surveillance, what is its regimen, in a way that it may be distinguishable from Steve Mann's definition of sousveillance, and what are the associated obligations in order to better understand the concept's essence. The application of the existent laws on personal data protection to images processing by natural persons has been analysed taking into account the Directive 95/46/CE, the LPD and the General Regulation. From this analysis it is concluded that the regimen from 1995 to 1998 is out of touch with reality creating an absence of legal shielding in the personal data protection law, a flaw that doesn't exist because compensated by the right to image as a right to personality, that anyway reveals the inability of the Portuguese legislator to face the new technological challenges. It is urgent to legislate. A contrary interpretation will evidence the unconstitutionality of several rules on the LPD due to the obligations natural persons are bound to that violate the right to the freedom of speech and information, which would be inadequate and disproportionate. Considering the recently approved General Regulation and in the case it becomes the final version, the use for natural person of video surveillance of private spaces, Google Glass (in public and private places) and other similar gadgets used to recreational purposes, as well as social networks are subject to its regulation only if the images are shared without limits or existing commercial purposes. Video surveillance of public spaces in all situations is subject to General Regulation provisions.

Quasi-integrals and the origin of bursting pH oscillations in an enzyme model system

Bursting Oscillation, Mixed-Mode oscillation, Slow Manifold, Quasi-Integral, slow-fast analysis, QSSA

singular coagulation and coagulation-fragmentation equations

Magdeburg, Univ., Fak. für Mathematik, Diss., 2013

A note on the application of integrals involving cyclic products kernels

A l'estadística de processos estocàstics i camps aleatoris, una funció de moments o un cumulant d'un estimador de la funció de correlació o de la densitat espectral sovint pot contenir una integral amb un producte cíclic de nuclis. En aquest treball es defineix i s'investiga aquesta classe d'integrals i es demostra la desigualtat de Young-Hölder que permet estudiar el comportament asimptòtic de les esmentades integrals en la situació quan els nuclis depenen d'un pàràmetre. Es considera una aplicació al problema d'estimació de la funció de resposta en un sistema de Volterra.

Hopf bifurcation for degenerate singular points of multiplicity 2n-1 in dimension 3

"Vegeu el resum a l'inici del document del fitxer adjunt."

Shelah's singular compactness theorem

We present Shelah’s famous theorem in a version for modules, together with a self-contained proof and some examples. This exposition is based on lectures given at CRM in October 2006.

Pure motives, mixed motives and extensions of motives associated to singular surfaces

We first recall the construction of the Chow motive modelling intersection cohomology of a proper surface X and study its fundamental properties. Using Voevodsky's category of effective geometrical motives, we then study the motive of the exceptional divisor D in a non-singular blow-up of X. If all geometric irreducible components of D are of genus zero, then Voevodsky's formalism allows us to construct certain one-extensions of Chow motives, as canonical subquotients of the motive with compact support of the smooth part of X. Specializing to Hilbert-Blumenthal surfaces, we recover a motivic interpretation of a recent construction of A. Caspar.