35 resultados para positive semi-definite matrices
Resumo:
Ao longo dos Pensamentos, Pascal expressa a sua antipatia filosófica por alguns tipos de pensadores. Um desses tipos de pensadores corresponde à figura do "demi-savant". Os "demi-savants", ou semi-sábios, caracterizam-se essencialmente por uma pretensão de saber fracassada: são homens que julgam estar na posse de um saber que na verdade não possuem. O objectivo desta investigação é fixar, com o maior detalhe possível, o que está em causa na denúncia dos semi-sábios — um aspecto pouco trabalhado no âmbito dos estudos sobre o pensamento de Pascal. A primeira parte da investigação consiste assim na delimitação formal da categoria semi-sábios. Quais são as notas definitórias destes pensadores? Que tipo de erro está em jogo na sua atitude? Que opiniões fazem de alguém um semi-sábio? Estas perguntas acabam rapidamente por nos levar a outras, que dizem directamente respeito à tentativa de determinação do poder de fogo da razão humana. Com efeito, o fundamento filosófico da crítica aos semi-sábios é o diagnóstico arrasador que Pascal faz da capacidade da nossa razão na tarefa do conhecimento — de tal modo que estudar o problema que os semi-sábios representam é estudar sob um determinado ângulo o problema geral da procura da verdade. Nesse sentido, depois de esclarecido o significado da designação semi-sábio, analisamos dois argumentos apresentados nos Pensamentos que visam contestar a compreensão habitualmente constituída acerca das possibilidades do homem na tarefa do conhecimento. Procuramos ainda, por último, desfazer possíveis equívocos quanto à fixação da posição de Pascal no campo da epistemologia. Embora haja poucas referências aos semi-sábios nos textos que compõem os Pensamentos, trata-se de uma figura que funciona como ponto de cruzamento de vários aspectos relevantes de um problema que está no centro do projecto apologético de Pascal: o problema do modo de apuramento da verdade.
Resumo:
This paper offers a new approach to estimating time-varying covariance matrices in the framework of the diagonal-vech version of the multivariate GARCH(1,1) model. Our method is numerically feasible for large-scale problems, produces positive semidefinite conditional covariance matrices, and does not impose unrealistic a priori restrictions. We provide an empirical application in the context of international stock markets, comparing the nev^ estimator with a number of existing ones.
Resumo:
Prostate cancer (PCa) is the most common form of cancer in men, in Europe (World Health Organization data). The most recent statistics, in Portuguese territory, confirm this scenario, which states that about 50% of Portuguese men may suffer from prostate cancer and 15% of these will die from this condition. Its early detection is therefore fundamental. This is currently being done by Prostate Specific Antigen (PSA) screening in urine but false positive and negative results are quite often obtained and many patients are sent to unnecessary biopsy procedures. This early detection protocol may be improved, by the development of point-of-care cancer detection devices, not only to PSA but also to other biomarkers recently identified. Thus, the present work aims to screen several biomarkers in cultured human prostate cell lines, serum and urine samples, developing low cost sensors based on new synthetic biomaterials. Biomarkers considered in this study are the following: prostate specific antigen (PSA), annexin A3 (ANXA3), microseminoprotein-beta (MSMB) and sarcosine (SAR). The biomarker recognition may occurs by means of molecularly imprinted polymers (MIP), which are a kind of plastic antibodies, and enzymatic approaches. The growth of a rigid polymer, chemically stable, using the biomarker as a template allows the synthesis of the plastic antibody. MIPs show high sensitivity/selectivity and present much longer stability and much lower price than natural antibodies. This nanostructured material was prepared on a carbon solid. The interaction between the biomarker and the sensing-material produces electrical signals generating quantitative or semi-quantitative data. These devices allow inexpensive and portable detection in point-of-care testing.
Resumo:
There is a need to develop viable techniques for removal and recovery organic and inorganic compounds from environmental matrices, due to their ecotoxicity, regulatory obligations or potential supplies as secondary materials. In this dissertation, electro –removal and –recovery techniques were applied to five different contaminated environmental matrices aiming phosphorus (P) recovery and/or contaminants removal. In a first phase, the electrokinetic process (EK) was carried out in soils for (i) metalloids and (ii) organic contaminants (OCs) removal. In the case of As and Sb mine contaminated soil, the EK process was additionally coupled with phytotechnologies. In a second phase, the electrodialytic process (ED) was applied to wastes aiming P recovery and simultaneous removal of (iii) toxins from membrane concentrate, (iv) heavy metals from sewage sludge ash (SSA), and (v) OCs from sewage sludge (SS). EK enhanced phytoremediation showed to be viable for the remediation of soils contaminated with metalloids, as although remediation was low, it combines advantages of both technologies while allowing site management. EK also proved to be an effective remediation technology for the removal and degradation of emerging OCs from two types of soil. Aiming P recovery and contaminants removal, different ED cell set-ups were tested. For the membrane concentrates, the best P recovery was achieved in a three compartment (3c) cell, but the highest toxin removal was obtained in a two compartment (2c) cell, placing the matrix in the cathode end. In the case of SSA the best approach for simultaneous P recovery and heavy metals removal was to use a 2c-cell placing the matrix in the anode end. However, for simultaneous P recovery and OCs removal, SS should be placed in the cathode end, in a 2c-cell. Overall, the data support that the selection of the cell design should be done case-by-case.
Resumo:
Research Masters