Curiosidades numéricas : Das origens do zero aos desafios do novo milénio

(...) Tal como os babilónios, os maias do México e da América Central criaram um sistema de numeração posicional. A diferença é que o sistema era vigesimal, de base 20. Os maias também recorriam ao zero para a escrita dos números e utilizavam dois tipos de dígitos (...) O sistema de numeração indiano acabou por evoluir de um sistema do tipo grego para um sistema do tipo babilónico (...) Os indianos encararam com naturalidade a existência de números negativos, bem como da reta numérica em que o zero assumia finalmente o estatuto de número com a posição estratégica de separar os números positivos dos negativos. (...) A própria palavra “zero” tem raízes hindu-árabes. O nome indiano para zero era sunya, que significava “vazio”. Os árabes transformaram-no em sifr. Por sua vez, os ocidentais adotaram uma designação que soasse a latim – zephirus, que é a raiz da nossa palavra “zero”. (...) No Ocidente, o medo do infinito e o horror ao vazio perpetuaram-se durante séculos. Partindo do universo pitagórico, Aristóteles e Ptolemeu defendiam um cosmos finito em extensão, mas cheio de matéria. O universo estava contido numa “casca de noz” revestida pela esfera das estrelas fixas. (...) A falta do zero não só impediu o desenvolvimento da Matemática no Ocidente como, indiretamente, introduziu alguma confusão no nosso calendário. Todos nos lembramos das dúvidas que surgiram com a viragem recente de século e milénio: deveríamos festejar a mudança de século e milénio na passagem de ano de 1999 para 2000 ou de 2000 para 2001? A resposta correta é a segunda opção e a justificação é simples: o nosso calendário não contempla o zero. (...) Com o Renascimento, o universo de casca de noz partiu-se, o vazio e o infinito ultrapassaram por completo os preconceitos da fundação aristotélica da Igreja e abriram caminho para um desenvolvimento notável da ciência e, em particular, da Matemática. O zero assumiu um papel chave no desenvolvimento de várias áreas da Matemática, entre elas destaca-se o cálculo diferencial e integral. O edifício matemático, que outrora tinha sido alicerçado partindo da necessidade de contar ovelhas e demarcar propriedades, erguia-se agora bem alto: as regras da Natureza podiam ser descritas por equações e a Matemática era a chave para desvendar os segredos do Universo. (...) O zero não pode ser ignorado. De facto, o zero está na base de muitos dos segredos do Universo, a desvendar neste novo milénio.

Análise técnica e económico-financeira de um sistema de abastecimento de veículos zero emissões integrando um sistema fotovoltaico

Com o aumento da população mundial registado nos últimos anos surgiu também uma maior procura energética. Esse aumento foi inicialmente colmatado recorrendo essencialmente a fontes de origem fóssil, pelo facto destas serem mais baratas. No entanto, essa tendência de preços baixos sofreu o primeiro abalo nos anos 70 do século passado, altura em que o preço do petróleo disparou, devido a questões políticas. Nessa altura ficou visível para os países ocidentais o quanto estes eram dependentes dos países produtores de petróleo que, em geral, são instáveis politicamente. Começou então a procura de fontes energéticas alternativas. Além da questão económica do aumento do preço dos combustíveis, existe também o problema ambiental. Os maiores responsáveis pela emissão de gases efeito estufa (GEE) são os combustíveis fósseis. Os GEE contribuem para o aquecimento global, o que origina fenómenos ambientais severos que poderão levar a mudanças climáticas significativas. As energias renováveis apresentam-se como a solução mais viável ao problema energético e ambiental que se verifica actualmente, porque permitem colmatar o aumento da procura energética de uma forma limpa e sustentável. Na sequência destes problemas surgiram nos últimos anos veículos que permitem reduzir ou mesmo eliminar o consumo de combustíveis fósseis, como os veículos híbridos eléctricos, eléctricos e a hidrogénio. Nesta dissertação analisa-se um sistema que foi pensado para ser implementado em áreas de serviço, que permite efectuar o carregamento de electric vehicles (EV) utilizando energia eléctrica de origem fotovoltaica e a produção de hidrogénio para os fuels cell electric vehicles (FCEV). É efectuada uma análise económica do sistema, uma análise ambiental e analisou-se também o impacto na redução da dependência do país em relação ao exterior, sendo ainda efectuada uma pequena análise ao sistema MOBIE. No caso dos veículos a hidrogénio, foi determinada qual seria a melhor opção em termos económicos, para a produção de hidrogénio considerando três regimes de produção: recorrendo apenas à energia eléctrica proveniente do sistema fotovoltaico, apenas à energia eléctrica da rede, ou uma combinação dos dois regimes. O sistema estudado nesta dissertação apresenta um enorme potencial a nível energético e ambiental, surgindo como alternativa para abastecer os veículos que irão permitir, no futuro, eliminar a dependência energética em relação às fontes fósseis e ao mesmo tempo diminuir a quantidade de gases efeito estufa emitidos para a atmosfera.

Green production of zero-valent iron nanoparticles using tree leaf extracts

The interest in zero-valent iron nanoparticles has been increasing significantly since the development of a green production method in which extracts from natural products or wastes are used. However, this field of application is yet poorly studied and lacks knowledge that allows the full understanding of the production and application processes. The aim of the present work was to evaluate the viability of the utilization of several tree leaves to produce extracts which are capable of reducing iron(III) in aqueous solution to form nZVIs. The quality of the extracts was evaluated concerning their antioxidant capacity. The results show that: i) dried leaves produce extracts with higher antioxidant capacities than non-dried leaves, ii) the most favorable extraction conditions (temperature, contact time, and volume:mass ratio) were identified for each leaf, iii) with the aim of developing a green, but also low-cost,method waterwas chosen as solvent, iv) the extracts can be classified in three categories according to their antioxidant capacity (expressed as Fe(II) concentration): >40 mmol L−1; 20–40 mmol L−1; and 2–10 mmol L−1; with oak, pomegranate and green tea leaves producing the richest extracts, and v) TEManalysis proves that nZVIs (d=10–20 nm) can be produced using the tree leaf extracts.

Application of green zero-valent iron nanoparticles to the remediation of soils contaminated with ibuprofen

Zero-valent iron nanoparticles (nZVIs) are often used in environmental remediation. Their high surface area that is associated with their high reactivity makes them an excellent agent capable of transforming/degrading contaminants in soils and waters. Due to the recent development of green methods for the production of nZVIs, the use of this material became even more attractive. However, the knowledge of its capacity to degrade distinct types of contaminants is still scarce. The present work describes the study of the application of green nZVIs to the remediation of soils contaminated with a common anti-inflammatory drug, ibuprofen. The main objectives of this work were to produce nZVIs using extracts of grape marc, black tea and vine leaves, to verify the degradation of ibuprofen in aqueous solutions by the nZVIs, to study the remediation process of a sandy soil contaminated with ibuprofen using the nZVIs, and to compare the experiments with other common chemical oxidants. The produced nZVIs had nanometric sizes and were able to degrade ibuprofen (54 to 66% of the initial amount) in aqueous solutions. Similar remediation efficiencies were obtained in sandy soils. In this case the remediation could be enhanced (achieving degradation efficiencies above 95%) through the complementation of the process with a catalyzed nZVI Fenton-like reaction. These results indicate that this remediation technology represents a good alternative to traditional and more aggressive technologies.

Micro-generation Evaluation of the Zero Emissions Technologies in the Portuguese Market

Micro-generation is the small scale production of heat and/or electricity from a low carbon source and can be a powerful driver for carbon reduction, behavior change, security of supply and economic value. The energy conversion technologies can include photovoltaic panels, micro combined heat and power, micro wind, heat pumps, solar thermal systems, fuel cells and micro hydro schemes. In this paper, a small research of the availability of the conversion apparatus and the prices for the micro wind turbines and photovoltaic systems is made and a comparison between these two technologies is performed in terms of the availability of the resource and costs. An analysis of the new legal framework published in Portugal is done to realize if the incentives to individualspsila investment in sustainable and local energy production is worth for their point of view. An economic evaluation for these alternatives, accounting with the governmentpsilas incentives should lead, in most cases, into attractive return rates for the investment. Apart from the attractiveness of the investment there are though other aspects that should be taken into account and those are the benefits that these choices have to us all. The idea is that micro-generation will not only make a significant direct contribution to carbon reduction targets, it will also trigger a multiplier effect in behavior change by engaging hearts and minds, and providing more efficient use of energy by householders. The diversified profile of power generation by micro-generators, both in terms of location and timing, should reduce the impact of intermittency or plant failures with significant gains for security of supply.

Fractional order modelling of zero length column desorption response for adsorbents with variable particle sizes

This manuscript analyses the data generated by a Zero Length Column (ZLC) diffusion experimental set-up, for 1,3 Di-isopropyl benzene in a 100% alumina matrix with variable particle size. The time evolution of the phenomena resembles those of fractional order systems, namely those with a fast initial transient followed by long and slow tails. The experimental measurements are best fitted with the Harris model revealing a power law behavior.

Abelian realization of phenomenological two-zero neutrino textures

In an attempt at explaining the observed neutrino mass-squared differences and leptonic mixing, lepton mass matrices with zero textures have been widely studied. In the weak basis where the charged lepton mass matrix is diagonal, various neutrino mass matrices with two zeros have been shown to be consistent with the current experimental data. Using the canonical and Smith normal form methods, we construct the minimal Abelian symmetry realizations of these phenomenological two-zero neutrino textures. The implementation of these symmetries in the context of the seesaw mechanism for Majorana neutrino masses is also discussed. (C) 2014 The Authors. Published by Elsevier B.V.

Equilibrium distributions of discrete non-autonomous graphs

We introduce the notions of equilibrium distribution and time of convergence in discrete non-autonomous graphs. Under some conditions we give an estimate to the convergence time to the equilibrium distribution using the second largest eigenvalue of some matrices associated with the system.

Anticorpos neutralizantes contra poliovírus em soros de recém-nascidos antes e após imunização em massa da população brasileira de zero a cinco anos de idade. São Paulo, Brasil (1980)

Foram colhidas amostras de sangue de 178 recém-nascidos (RN) em berçários de hospital localizado no Município de São Paulo. Noventa crianças foram puncionadas antes do primeiro "Dia Nacional de Vacinação Contra a Poliomielite" e as outras 88, após o segundo "Dia Nacional de Vacinação Contra a Poliomielite", realizados em 1980. Nessas campanhas foram imunizadas as crianças com idade de zero a cinco anos, em todo o Brasil. No presente trabalho pesquisou-se os títulos de anticorpos neutralizantes contra poliovírus nos dois grupos de recém-nascidos. Após a imunização em massa verificou-se que a taxa de recém-nascidos triplo suscetíveis decresceu de 8,9% para 4,5%, enquanto que o aumento observado do triplo imunes foi de 38,9% para 52,3%; essas diferenças mostraram-se estatisticamente significantes ao nível de 5,0%. A proporção de recém-nascidos, com títulos de anticorpos neutralizantes contra poliovírus iguais ou maiores do que 8, aumentou após as campanhas de imunização, quando passaram de 68,9% para 81,8%, de 73,3% para 83,0% e de 57,8% para 70,5%, respectivamente, para os sorotipos 1, 2 e 3. Essas diferenças mostraram se estatisticamente significantes, ao nível de 5,0%, em relação aos poliovírus 1 e 3.

Periodic paths on nonautonomous graphs

We define nonautonomous graphs as a class of dynamic graphs in discrete time whose time-dependence consists in connecting or disconnecting edges. We study periodic paths in these graphs, and the associated zeta functions. Based on the analytic properties of these zeta functions we obtain explicit formulae for the number of n-periodic paths, as the sum of the nth powers of some specific algebraic numbers.

Impact of design options in zero energy building conception: the case of large buildings in Portugal

The new recast of Directive 2010/31/EU in order to implement the new concept NZEB in new buildings, is to be fully respected by all Member States, and is revealed as important measure to promote the reduction of energy consumption of buildings and encouraging the use of renewable energy. In this study, it was tested the applicability of the nearly zero energy building concept to a big size office building and its impact after a 50-years life cycle span.

Utilization of food industry wastes for the production of zero-valent iron nanoparticles

The proper disposal of the several types of wastes produced in industrial activities increases production costs. As a consequence, it is common to develop strategies to reuse these wastes in the same process and in different processes or to transform them for use in other processes. This work combines the needs for new synthesis methods of nanomaterials and the reduction of production cost using wastes from citrine juice (orange, lime, lemon and mandarin) to produce a new added value product, green zero-valent iron nanoparticles that can be used in several applications, including environmental remediation. The results indicate that extracts of the tested fruit wastes (peel, albedo and pulp fractions) can be used to produce zero-valent iron nanoparticles (nZVIs). This shows that these wastes can be an added value product. The resulting nZVIs had sizes ranging from 3 up to 300 nm and distinct reactivities (pulp > peel > albedo extracts). All the studied nanoparticles did not present a significant agglomeration/settling tendency when compared to similar nanoparticles, which indicates that they remain in suspension and retain their reactivity.

Nonautonomous Graphs and Topological Entropy of Nonautonomous Lorenz Systems

In this work, we associate a p-periodic nonautonomous graph to each p-periodic nonautonomous Lorenz system with finite critical orbits. We develop Perron-Frobenius theory for nonautonomous graphs and use it to calculate their entropy. Finally, we prove that the topological entropy of a p-periodic nonautonomous Lorenz system is equal to the entropy of its associated nonautonomous graph.

Minimization of open orders using interval graphs

In this paper we address an order processing optimization problem known as the Minimization of Open Stacks Problem (MOSP). This problem consists in finding the best sequence for manufacturing the different products required by costumers, in a setting where only one product can be made at a time. The objective is to minimize the maximum number of incomplete orders from costumers that are being processed simultaneously. We present an integer programming model, based on the existence of a perfect elimination order in interval graphs, which finds an optimal sequence for the costumers orders. Among other economic advantages, manufacturing the products in this optimal sequence reduces the amount of space needed to store incomplete orders.

Sequencing cutting patterns with colored interval graphs

The problem addressed here originates in the industry of flat glass cutting and wood panel sawing, where smaller items are cut from larger items accordingly to predefined cutting patterns. In this type of industry the smaller pieces that are cut from the patterns are piled around the machine in stacks according to the size of the pieces, which are moved to the warehouse only when all items of the same size have been cut. If the cutting machine can process only one pattern at a time, and the workspace is limited, it is desirable to set the sequence in which the cutting patterns are processed in a way to minimize the maximum number of open stacks around the machine. This problem is known in literature as the minimization of open stacks (MOSP). To find the best sequence of the cutting patterns, we propose an integer programming model, based on interval graphs, that searches for an appropriate edge completion of the given graph of the problem, while defining a suitable coloring of its vertices.