On the fractional central differences and derivatives

Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials. The coherence of these definitions is studied by applying the definitions to functions with Fourier transformable functions. Some properties of these derivatives are presented and particular cases studied.

Fractional central differences and derivatives

Journal of Vibration and Control, Vol. 14, Nº 9-10

Fractional central differences and derivatives

Journal of Vibration and Control, 14(9–10): 1255–1266, 2008

Gender Differences in Spatial Cognition: Wayfinding Performance and Sketch Mapping Activity of German Speakers

Dissertation submitted in partial fulfillment of the requirements for the Degree of Master of Science in Geospatial Technologies

Differences and reasons in IASB accounting standards between small and large companies

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

Return on equity: A comparison between companies in Portugal and Brazil: Similarities and differences

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

Differences in the prices of physical ETF’s and synthetic ETF’s

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

T cell Maturation and Regulatory T Cell Differentiation:From the Thymus to the Periphery

Immunological tolerance, that is, the failure to mount an immune response to an otherwise immunogenic molecule, is one of the fundamental questions in immunology. The fact that lymphocytes express antigen receptors that are generated randomly and have the potential to recognize any conceivable antigen, adds another puzzle to the physiology of immunological tolerance. The other side of the coin, the general absence of immune responses to self antigens, is ensured by a tight regulation and several selection steps during T and B cell differentiation. One of these processes is the differentiation of regulatory T cells (Treg). While developing in the thymus, T cell clones bearing receptors with high affinity/avidity to antigens present at the time of differentiation may be eliminated by apoptosis or, alternatively, express Foxp3 and become Treg. Treg are key players in the regulation of immunological tolerance since humans and mice with complete loss of function variants of this gene develop fatal autoimmune conditions early in life.(...)

Corporate social responsible behaviour in the financial industry

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

DNA-Protein interaction: a response regulatory protein associated with Mo homeostasis in Desulfovibrio alaskensis G20.

Dissertation for a degree in Doctor in Sustainable Chemistry

Differences in ERP use and value across Iberian Manufacturing and Services SMEs

Enterprise Resource Planning (ERP) system literature reports very little research on post-adoption stages, that is, actual usage and value. Even fewer studies focus on the specificities of an industry analysis. Based on the Technology-Organizational-Environment (TOE) framework and the Resource-Based View (RBV) theory, we develop a research model to measure and examine determinants of ERP use and value and their impact in the Iberian region (Portugal and Spain) across Manufacturing and Services industries in Small and Medium Enterprises (SMEs). The empirical test was conducted through structural equation modelling, using data from 261 firms in the peninsula in the Manufacturing and Service industries. Results show that amongst ERP use determinants, Training is the most important determinant for Service firms and Compatibility for Manufacturing firms. Firm size, Analytics, and Collaboration contribute to ERP Value in both industries, with Analytics being more important for the Service industry. The paper provides insight into which determinants contribute to ERP use and ERP value in Iberian Manufacturing and Services SMEs, offering managerial and academic implications.

Assessment by doppler ultrasound of entheseal lesions in spondyloarthritis : a longitudial study to determine structural damage and disease activity lesions

RESUMO: Enthesitis is the hallmark of spondyloarthritis (SpA), and is observed in all subtypes. Wide information on SpA abnormalities, including synovitis, tendinitis and enthesitis, can be efficiently perceived by Doppler ultrasound. Furthermore, several studies on imaging of enthesis showed that imaging techniques are better than clinical examination to detect enthesis alterations; and vascularized enthesitis detected by Doppler ultrasound appears to be a valuable diagnostic tool to confirm SpA diagnosis. However, data published until now concerning entheseal elementary alterations that characterize SpA enthesitis (enthesis inflammatory activity) or enthesopathy (permanent structural changes) reflect rather the authors’ empiric opinion than a methodological validation process. In this sense it seems crucial to identify elementary entheseal lesions associated with activity or damage, in order to improve monitoring and treatment response in SpA patients. The development of better assessment tools is today a challenge and a need in SpA. The first study of this thesis focused on the analysis of the reliability of inter-lector and inter-ultrasonography equipment of Madrid sonography enthesitis index (MASEI). Fundamental data for the remaining unrolling project validity. In the second and third studies we concerned about two entheseal elemental lesions: erosions and bursa. In literature erosions represent a permanent structural damage, being useful for monitoring joint injury, disease activity and therapeutic response in many rheumatic diseases; and to date, this concept has been mostly applied in rheumatoid arthritis (RA). Unquestionably, erosion is a tissue-related damage and a structural change. However, the hypothesis that we decided to test was if erosions represent a permanent structural change that can only grow and worsen over time, as occurs in RA, or a transitory alteration. A longitudinal study of early SpA patients was undertaken, and the Achilles enthesis was used as a model. Our results strongly suggested that previously detected erosions could disappear during the course of the disease, being consistent with the dynamic behavior of erosion over time. Based on these striking results it seems reasonable to suggest that the new-bone formation process in SpA could be associated with the resolution of cortical entheseal erosion over time. These results could also be in agreement with the apparent failure of anti-tumor necrosis factor (TNF) therapies to control bone proliferation in SpA; and with the relation of TNF-α, Dickkopf-related protein 1 (Dkk-1) and the regulatory molecule of the Wnt signaling pathway in the bone proliferation in SpA. In the same model, we then proceeded to study the enthesis bursa. Interestingly, the Outcome Measures in Rheumatology Clinical Trials (OMERACT) enthesopathy definition does not include bursa as an elementary entheseal lesion. Nonetheless, bursa was included in 46% of the enthesis studies in a recently systematic literature review, being in agreement with the concept of “synovio-entheseal complex” that includes the link between enthesitis and osteitis in SpA. It has been clarified in recent data that there is not only a close functional integration of the enthesis with the neighboring bone, but also a connection between enthesitis and synovitis. Therefore, we tried to assess the prevalence and relevance of the bursa-synovial lesion in SpA. Our findings showed a significant increase of Achilles bursa presence and thickness in SpA patients compared to controls (healthy/mechanical controls and RA controls). These results raise awareness to the need to improve the enthesopathy ultrasonographic definition. In the final work of this thesis, we have explored new perspectives, not previously reported, about construct validity of enthesis ultrasound as a possible activity outcome in SpA. We performed a longitudinal Achilles enthesis ultrasound study in patients with early SpA. Achilles ultrasound examinations were performed at baseline, six- and twelve-month time periods and compared with clinical outcome measures collected at basal visit. Our results showed that basal erythrocyte sedimentation rate (ESR) and C-reactive protein (CRP) are higher in patients with Doppler signal in enthesis, and even that higher basal ESR, CRP and Ankylosing Spondylitis Disease Activity Score (ASDAS) predicted a higher Doppler signal (an ultrasound alteration accepted as representative of inflammation) six months later. Patients with very high disease activity assessed by ASDAS (>3.5) at baseline had significantly higher Achilles total ultrasound score verified at the same time; and ASDAS <1.3 predicted no Doppler signal at six and twelve months. This seems to represent a connection between classical biomarkers and clinical outcomes associated with SpA activity and Doppler signal, not only at the same time, but also for the following months. Remarkably, patients with inactive disease (ASDAS < 1.3) at baseline had no Doppler signal at six and twelve months. These findings reinforce the potential use of ultrasound related techniques for disease progression assessment and prognosis purposes. Intriguingly, Ankylosing Spondylitis Disease Activity Index (BASDAI) didn’t show significant differences between different cut-offs concerning ultrasound lesions or Doppler signal, while verified with ASDAS. These results seem to indicate that ASDAS reflects better than BASDAI what happens in the enthesis. The work herein discussed clearly shows the potential utility of ultrasound in enthesis assessment in SpA patients, and can be important for the development of ultrasound activity and structural damage scores for diagnosis and monitoring purposes. Therefore, local promotion of this technique constitutes a medical intervention that is worth being tested in SpA patients for diagnosis, monitoring and prognosis purposes.

Relatório de estágio na Caixa Geral de Depósitos

This report will describe the activities undertaken during my internship at the Personnel Department (DPE-UPE4.1) in Caixa Geral de Depósitos (CGD), Lisbon, between September 22, 2014, and February 28, 2015. I consider that it is important to note from the outset i) that the subject of my training was suggested by my supervisor in the DPE and accepted by me; and ii) that the internship consisted essentially of carrying out research and information gathering into the different social systems that coexist within the bank and the application of each legal system in solving concrete situations of the CGD employees. The research and analysis of information was important not only for my study but for the CGD itself, as it enables the department to have such an important matter, full of specific characteristics, condensed into a single document, i.e. this report. This is a complex reality. The various welfare systems differ according to the contractual agreement linking the employee to the employer at the date when the labour contract is signed, and also the unique/singular characteristics of the CGD. In the early stage I started by trying to understand the financial institution and its organization and role and the department where I worked. So I analyzed the CGD Statutes and the legal measures that crystallized the scheme for its employees and I also researched its domestic and international operations. The first month was devoted to the research and analysis of such legislation to understand the creation of the CGD and its path to date. In the second and third months I studied the legal social systems that are applied to different groups of CGD workers. This period was quite important to identify and understand the differences between those regimes of CGD employees as well as the procedure inherent in each case. I highlighted the non-implementation of “the social protection regime of convergence” to the workers of this institution; the differences regarding the allocation of sickness subsidies paid to workers who belong to Social Security and CGA contributors, as well as the enforcement of internal rules to all the workers when a work-related accident happens. Then I focused on to assessing and examining external legislation and several internal regulations in order to obtain solutions to questions raised and situations involving by the workers, in order to understand how the DPE solves these situations. Over the last three months of internship, after this more theoretical work, I began the analysis of concrete situations involving employees carrying out their duties in Portugal and abroad. Some of these situations had been received by the department before the beginning of my internship and others over this period. When I was “working” in the DPE I analyzed “cases” that had been solved and some others without a final solution because they were still in courts. As for the last ones (new cases) I was able to follow their assessment and sometimes their outcome. Some of them became study cases for me. Over these five months of my internship, several cases were analyzed and discussed by legal experts of DPE in which I could participate. I always worked hard. I know that this action contributed to elucidate me about the treatment of the issues, and allowed me to have a direct contact with some workers and be part of a dynamic work team. For these reasons, my internship report is not merely descriptive of activities. It consists of an analysis of rules (legislation) and a regulatory framework of activities and it is also a description of several specific situations solved or in a solution process. Through this work I intend to make known the particular reality of a modern Portuguese financial institution not only because of its importance in our country but also such a large number of employees work here (in Portugal and abroad). I should add that throughout my internship I was allowed to attend conferences, within the scope of the bank in order to get a broader view of some issues related to the daily life of the DPE and the CGD. So, I participated in I Jornadas Bancárias and the Conferência Internacional do Contrato a Termo, given that the CGD is a bank and the DPE deals with legal and labour relations.

Trading the differences in expectations between the CDS and bond markets

This paper uses the framework developed by Vrugt (2010) to extract the recovery rate and term-structure of risk-neutral default probabilities implied in the cross-section of Portuguese sovereign bonds outstanding between March and August 2011. During this period the expectations on the recovery rate remain firmly anchored around 50 percent while the instantaneous default probability increases steadily from 6 to above 30 percent. These parameters are then used to calculate the fair-value of a 5-year and 10- year CDS contract. A credit-risk-neutral strategy is developed from the difference between the market price of a CDS of the same tenors and the fair-value calculated, yielding a sharpe ratio of 3.2

Differences and reasons in IASB accounting standards between small and large companies

This paper studies the main differences in accounting standards of the International Accounting Standards Board (IASB) between small and large companies, materialised in the dissimilarities between the International Financial Reporting Standard for Small and Medium-sized Entities and the full International Financial Reporting Standards, as of 2010. Another element of this project is the analysis of the reasons behind the differences between the two aforementioned frameworks, which intends to expose the rationale and the mindset that led to an adaptation of the full standards in a stand-alone document designed for small companies.