The K-Th derivatives of the immanant and the X-symmetric power of an operator

In recent papers, formulas are obtained for directional derivatives, of all orders, of the determinant, the permanent, the m-th compound map and the m-th induced power map. This paper generalizes these results for immanants and for other symmetric powers of a matrix.

The norm of the K- Th derivative of the X-symmetric power of an operator

In this paper, the exact value for the norm of directional derivatives, of all orders, for symmetric tensor powers of operators on finite dimensional vector spaces is presented. Using this result, an upper bound for the norm of all directional derivatives of immanants is obtained.

A importância da seleção de informação e da tomada de notas na produção de textos expositivos

Relatório Final apresentado à Escola Superior de Educação de Lisboa para obtenção de grau de mestre em Ensino do 1.º e do 2.º Ciclo do Ensino Básico

SureThin: fixador de eleição em citologia de impressão ocular

A citologia de impressão da superfície ocular é uma técnica pouco invasiva que permite a análise de células da conjuntiva e da córnea, sendo uma alternativa aos esfregaços e punções. Desta forma, é indispensável garantir uma fase analítica eficiente. Na revisão bibliográfica encontram-se diversos agentes fixadores para este tipo de material, não sendo explícito o método de fixação mais eficaz. A fixação visa preservar os constituintes celulares quimicamente e estruturalmente, numa situação idêntica ao in vivo, estado este que é fundamental para a realização da técnica e consequente obtenção de um diagnóstico final correto. Objetivo do estudo - O objetivo deste estudo foi identificar o melhor fixador para amostras de citologia de impressão ocular – SureThin, PreservCyt, etanol a 95% e uma mistura constituída por formaldeído a 37%, ácido acético glacial e etanol a 70% (FAA 70%).

Cinema autobiográfico : materialidade das imagens e inscrições da memória : trabalho de projeto

Trabalho de Projecto submetido à Escola Superior de Teatro e Cinema para cumprimento dos requisitos necessários à obtenção do grau de Mestre em Desenvolvimento de Projecto Cinematográfico - especialização em Tecnologias de Pós-Produção.

Unusual cause for smoldering dysphagia

A 30-year-old black woman presented with heartburn and odynophagia. She had a 2-year history of Behçet’s disease and systemic lupus erythematosus and had been treated with colchicine, hydroxychloroquine, and sucralfate. Odynophagia was not related to the presence of oral ulcers as they were painless and when they were in remission the patient would still intermittently complain of substernal pain. The patient underwent upper digestive endoscopy that revealed only small mucosal irregularities in the upper third of the esophagus. Biopsies of these segments showed marked acanthosis and papillomatosis of the squamous epithelium as well as intense lymphoplasmacytic infiltrate with an increased number of intraepithelial lymphocytes (IEL). There were neither granulocytes nor signs of viral infection. The endoscopic findings were then attributed to regenerative changes of the epithelium and the patient was started on a proton pump inhibitor (PPI), assuming gastroesophageal reflux disease (GERD). During the following years there were flare-ups of rheumatologic disease activity due to the patient’s lack of adherence to therapy. However, there was no correlation of the patient’s maintained (although scarce) complaints of transitory dysphagia and substernal pain.

Estratégias informativas de um jornal híbrido: o caso do “I” nos media portugueses

Dissertação apresentada à Escola Superior de Comunicação Social como parte dos requisitos para obtenção de grau de mestre em Audiovisual e Multimédia.

On derivatives and norms of generalized matrix functions and respective symmetric powers

In recent papers, the authors obtained formulas for directional derivatives of all orders, of the immanant and of the m-th xi-symmetric tensor power of an operator and a matrix, when xi is a character of the full symmetric group. The operator norm of these derivatives was also calculated. In this paper, similar results are established for generalized matrix functions and for every symmetric tensor power.

Optimization of cruciform specimens for biaxial fatigue loading with direct multi search

In order to correctly assess the biaxial fatigue material properties one must experimentally test different load conditions and stress levels. With the rise of new in-plane biaxial fatigue testing machines, using smaller and more efficient electrical motors, instead of the conventional hydraulic machines, it is necessary to reduce the specimen size and to ensure that the specimen geometry is appropriate for the load capacity installed. At the present time there are no standard specimen's geometries and the indications on literature how to design an efficient test specimen are insufficient. The main goal of this paper is to present the methodology on how to obtain an optimal cruciform specimen geometry, with thickness reduction in the gauge area, appropriate for fatigue crack initiation, as a function of the base material sheet thickness used to build the specimen. The geometry is optimized for maximum stress using several parameters, ensuring that in the gauge area the stress distributions on the loading directions are uniform and maximum with two limit phase shift loading conditions (delta = 0 degrees and (delta = 180 degrees). Therefore the fatigue damage will always initiate on the center of the specimen, avoiding failure outside this region. Using the Renard Series of preferred numbers for the base material sheet thickness as a reference, the reaming geometry parameters are optimized using a derivative-free methodology, called direct multi search (DMS) method. The final optimal geometry as a function of the base material sheet thickness is proposed, as a guide line for cruciform specimens design, and as a possible contribution for a future standard on in-plane biaxial fatigue tests

Estudo de usabilidade das aplicações mobile: caso prático o Meethub

Relatório de estágio apresentado à Escola Superior de Comunicação Social como parte dos requisitos para obtenção de grau de mestre em Audiovisual e Multimédia.