Orthogonal polynomials on the unit circle and chain sequences

Szego{double acute} has shown that real orthogonal polynomials on the unit circle can be mapped to orthogonal polynomials on the interval [-1,1] by the transformation 2x=z+z-1. In the 80's and 90's Delsarte and Genin showed that real orthogonal polynomials on the unit circle can be mapped to symmetric orthogonal polynomials on the interval [-1,1] using the transformation 2x=z1/2+z-1/2. We extend the results of Delsarte and Genin to all orthogonal polynomials on the unit circle. The transformation maps to functions on [-1,1] that can be seen as extensions of symmetric orthogonal polynomials on [-1,1] satisfying a three-term recurrence formula with real coefficients {cn} and {dn}, where {dn} is also a positive chain sequence. Via the results established, we obtain a characterization for a point w(|w|=1) to be a pure point of the measure involved. We also give a characterization for orthogonal polynomials on the unit circle in terms of the two sequences {cn} and {dn}. © 2013 Elsevier Inc.

On computational aspects of discrete Sobolev inner products on the unit circle

In this paper, we show how to compute in O(n2) steps the Fourier coefficients associated with the Gelfand-Levitan approach for discrete Sobolev orthogonal polynomials on the unit circle when the support of the discrete component involving derivatives is located outside the closed unit disk. As a consequence, we deduce the outer relative asymptotics of these polynomials in terms of those associated with the original orthogonality measure. Moreover, we show how to recover the discrete part of our Sobolev inner product. © 2013 Elsevier Inc. All rights reserved.

Um modelo de unit commitment hidrotérmico para o ambiente de mercados de energia

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Central Unit (Programme of Social Research on Population Problems Relevant to Population Policies in Latin America); Project request for UNFPA

Includes bibliography

Influência do tipo de fundição e uso de retificação na interface pilar/cilindro protético na adaptação marginal e tensão peri-implantar sobre conexão protética tipo Micro-Unit

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Evaluation policy and strategy: Programme Planning and Evaluation Unit (PPEU) Programme Planning and Operations Division (PPOD) April 2014

Includes bibliography

Epidemiology of healthcare-associated infections among patients from a hemodialysis unit in southeastern Brazil

Patients submitted to hemodialysis are at a high risk for healthcare-associated infections (HAI). Presently there are scarce data to allow benchmarking of HAI rates in developing countries. Also, most studies focus only on bloodstream infections (BSI) or local access infections (LAI). Our study aimed to provide a wide overview of HAT epidemiology in a hemodialysis unit in southeastern Brazil. We present data from prospective surveillance carried out from March 2010 through May 2012. Rates were compared (mid-p exact test) and temporally analyzed in Shewhart control charts for Poisson distributions. The overall incidence of BSI was 1.12 per 1000 access-days. The rate was higher for patients performing dialysis through central venous catheters (CVC), either temporary (RR = 13.35, 95% CI = 6.68-26.95) or permanent (RR = 2.10,95% CI = 1.09-4.13), as compared to those with arteriovenous fistula. Control charts identified a BSI outbreak caused by Pseudomonas aeruginosa in April 2010. LAI incidence was 3.80 per 1000 access-days. Incidence rates for other HAI (per 1000 patients-day) were as follows: upper respiratory infections, 1.72; pneumonia, 1.35; urinary tract infections, 1.25; skin/soft tissues infections, 0.93. The data point out to the usefulness of applying methods commonly used in hospital-based surveillance for hemodialysis units. (C) 2013 Elsevier Editora Ltda. All rights reserved.

A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Basic hypergeometric polynomials with zeros on the unit circle

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Knowledge and practice of women regarding cervical cancer in a primary health care unit

Objectives: evaluating the level of information about the examination of uterine cervical cancer and its association with sociodemographic variables in women of a health care unit in the city of Bauru, São Paulo, Brazil. Methods: we conducted a cross-sectional descriptive study with 370 women aged 25 to 59, through structured interviews in their own homes; we used descriptive statistics and the χ2 test. Results: 40.5% of the women had not undergone the Papanicolaou test at the recommended frequency; 58.2% incorrectly defined the test, and 69.5% did not know about the risk factors for the development of cervical cancer; the knowledge about the test showed statistically significant association with schooling and family income of the studied population. Conclusions: women present deficiencies on the proper practice of the Papanicolaou test, on knowledge about the test, risk factors and prevention methods. Therefore, it is necessary to develop primary health actions for the most vulnerable population.

The influence of floc size and hydraulic detention time on the performance of a dissolved air flotation (DAF) pilot unit in the light of a mathematical model

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Sieved para-orthogonal polynomials on the unit circle

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Erythrocyte selenium concentration predicts intensive care unit and hospital mortality in patients with septic shock: a prospective observational study

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Risk factors for the acquisition of imipenem-resistant Acinetobacter baumannii in a burn unit: An appraisal of the effect of colonization pressure

Imipenem-resistant Acinetobacter baumannii (IRAB) is a major threat for critically ill patients, including those admitted to burn units. Recent studies have suggested that colonization pressure (the proportion of patients or patient-days harbouring the pathogen of interest) is an important driver of the risk for acquisition of multidrug-resistant organisms. With that in mind, we conducted a cohort study, enrolling 208 patients admitted to a burn unit from November 2008 through December 2009. The outcome of interest was the acquisition of IRAB. In addition to the usual risk factors, we assessed the impact of colonization pressure. The number of wound excisions (odds ratio (OR) 12.06, 95% confidence interval (CI) 2.82-51.64) and the number of antimicrobials used (OR 22.82, 95% CI 5.15-101.19) were significant risk factors for the outcome of interest. On the other hand, colonization pressure (measured for whole time of exposure or up to the last 14, 7, or 3 days) was not associated with the risk for IRAB acquisition.