On Lebesgue measure of integral self-affine sets

Let $A$ be an expanding integer $n\times n$ matrix and $D$ be a finite subset of $Z^n$. The self-affine set $T=T(A,D)$ is the unique compact set satisfying the equality $A(T)=\cup_{d\in D} (T+d)$. We present an effective algorithm to compute the Lebesgue measure of the self-affine set $T$, the measure of intersection $T\cap (T+u)$ for $u\in Z^n$, and the measure of intersection of self-affine sets $T(A,D_1)\cap T(A,D_2)$ for different sets $D_1,D_2\subset Z^n$.Comment: 5 pages, 1 figur

Effects of ultrasound on the performance improvement of wastewater microfiltration through a porous ceramic filter

Filtration under an ultrasonic field is a technique that is gaining importance in the wastewater treatment research field, not only due to its ability as a cleaning mechanism, but also as a filtration intensifier. The main objective of this research was the study of the influence of ultrasonic waves on the filtration of theoilfield wastewater (known as produced water) in order to increase the operation performance and filter medium regenerative effectiveness. A 0.016 m2 hollow cylindrical porous ceramic filter was submitted to the filtration of produced water by two mechanisms: conventional filtration under vacuum and filtration under theinfluence of ultrasonic waves. Experiments were carried out using synthetic produced water by analyzing the variables oil and grease content (O&G) and total suspended solids (TSS) for each filtration run. Backwashing of the filter medium with distilled water was also performed to evaluate the regeneration efficiency. During conventional filtration, permeate flux decreased gradually, becoming stable around 0.06 cm3.cm-2.s-1. Furthermore, in the filtration assisted by ultrasound, the permeate flux was around 0.15 cm3.cm-2.s-1. Therefore, ultrasonic waves provided an increase of about 150% in the permeate flux. Moreover, the sonication improved filter medium regeneration effectiveness, even under conditions of high TSS and O&G contents. Taking into consideration the very positive results associated with the application of ultrasonicwaves, this filtration technique is likely to become an important industrial process

Some notes about distribution frame multipliers

Inspired by a recent work about distribution frames, the definition of multiplier operator is extended in the rigged Hilbert spaces setting and a study of its main properties is carried on. In particular, conditions for the density of domain and boundedness are given. The case of Riesz distribution bases is examined in order to develop a symbolic calculus

Effect of aeration on biodegradation of petroleum waste Efeito da aeração sobre a biodegradação de resíduo de petróleo

Large amounts of oily sludge are generated as residues by the oil industry, representing a real problem for refineries. This work studied the technical viability of treating oily sludge biologically, through stimulation of native microorganisms, at bench scale. Such microorganisms were able to grow in a medium containing oily sludge as the only carbon and energy sources. Two oily sludge concentrations were studied, 5% (v/v) and 10% (v/v), with a C:N ratio of 100:1. Higher microbial populations were observed in the first case. Substrate inhibition and/or toxic effect took place in the second case. The importance of aeration on the microbial activity and on the biodegradation of the residue was ascertained. In terms of n-paraffins, pristane and phytane consumption, maximum global efficiency of 76.9% (w/w) was achieved, in a medium containing 5% (v/v) of oily sludge. Bacteria of the genus Pseudomonas predominated. Two yeast species were also identified and two filamentous fungi were isolated.<br>Grandes quantidades de borra oleosa são geradas como resíduos pela indústria do petróleo, representando um problema real para as refinarias. Neste trabalho foi estudada a viabilidade técnica do tratamento biológico de borra oleosa, conduzido a partir do estímulo de microrganismos nativos, em escala de bancada. Tais microrganismos foram capazes de crescer em meio contendo borra oleosa como única fonte de carbono e de energia. Duas concentrações deste resíduo foram estudadas, 5% (v/v) e 10% (v/v), para uma relação C:N de 100:1. Maiores densidades microbianas foram observadas na primeira condição. Por outro lado, inibição pelo substrato e/ou efeito tóxico ocorreram na segunda condição. Foi comprovada a importância da aeração sobre a atividade microbiana, assim como sobre a biodegradação do resíduo. Em termos de consumo de n-parafinas, pristano e fitano, a eficiência global máxima atingida foi de 76,9% (p/p), em meio contendo 5% (v/v) de borra oleosa. O procedimento de identificação mostrou a predominância de bactérias do gênero Pseudomonas e de leveduras dos gêneros Candida e Rhodotorula. Dois fungos filamentosos também foram isolados, estando, no momento, sujeitos a procedimentos de identificação

As ferramentas de trabalho com famílias utilizadas pelas equipes de saúde da família de Curitiba, PR The toolkit used by family health teams for working with families in Curitiba, PR

Este estudo de revisão de literatura teve por objetivo apresentar as ferramentas de trabalho utilizadas com famílias pelas equipes de saúde da família da cidade de Curitiba, Paraná, Brasil. Inicialmente, conceitua-se o trabalho com famílias, cujo propósito central está fundamentado na compreensão de sujeitos integrados ao seu contexto e dinâmica familiar, sendo possível observar o convívio e a interação entre os membros da família. Dessa forma, para além do cuidado coletivo, mesmo a atenção clínica individual pode ser estruturada em bases mais amplas, com maior resolutividade nas intervenções sobre o processo saúde-doença-cuidado. Na sequência, foram caracterizados os objetivos e as finalidades de uso das ferramentas por equipes multiprofissionais do município, tais como o Genograma ou heredograma familiar, o Ciclo de vida das famílias, o modelo F.I.R.O. e o modelo P.R.A.C.T.I.C.E. Concluiu-se que, em Curitiba, o uso das ferramentas é essencial como dispositivo no âmbito das tecnologias leves para o trabalho de cuidado em saúde das equipes de saúde. Favorece a aproximação dos trabalhadores da saúde aos problemas das pessoas na comunidade, possibilitando a coleta de evidências narrativas e a elaboração de estratégias robustas de manejo de ações e serviços em saúde.<br>This literature review study aimed to present the toolkit for working with families used by family health teams in the city of Curitiba, state of Paraná, Brazil. Initially, the work with families is conceptualized. Its central purpose is based on the understanding of subjects integrated into their context and family dynamics, being possible to observe their daily relationship and interactions. In this way, beyond the collective care, even the individual clinical attention can be structured on wider bases, with more efficient interventions on the health-disease-care process. Then, the objectives and purposes of the use of the tools (for example, Genogram, the Life Cycle of the Families, the F.I.R.O. model and the P.R.A.C.T.I.C.E. model) by multiprofessional teams of the city were characterized. It was concluded that in Curitiba, the use of the toolkit is essential as a light health technology device, as it favors the workers' approach to the people's problems in the community, enabling the collection of narrative evidences and promoting the design of robust strategies for handling health actions and services