Discrete approximations for strict convex continuous time problems and duality

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials

Let C-n(lambda)(x), n = 0, 1,..., lambda > -1/2, be the ultraspherical (Gegenbauer) polynomials, orthogonal. in (-1, 1) with respect to the weight function (1 - x(2))(lambda-1/2). Denote by X-nk(lambda), k = 1,....,n, the zeros of C-n(lambda)(x) enumerated in decreasing order. In this short note, we prove that, for any n is an element of N, the product (lambda + 1)(3/2)x(n1)(lambda) is a convex function of lambda if lambda greater than or equal to 0. The result is applied to obtain some inequalities for the largest zeros of C-n(lambda)(x). If X-nk(alpha), k = 1,...,n, are the zeros of Laguerre polynomial L-n(alpha)(x), also enumerated in decreasing order, we prove that x(n1)(lambda)/(alpha + 1) is a convex function of alpha for alpha > - 1. (C) 2002 Published by Elsevier B.V. B.V.

Almost strict total positivity and a class of Hurwitz polynomials

We establish sufficient conditions for a matrix to be almost totally positive, thus extending a result of Craven and Csordas who proved that the corresponding conditions guarantee that a matrix is strictly totally positive. Then we apply our main result in order to obtain a new criteria for a real algebraic polynomial to be a Hurwitz one. The properties of the corresponding extremal Hurwitz polynomials are discussed. (C) 2004 Elsevier B.V. All rights reserved.

Susceptibility of strict and facultative anaerobes isolated from endodontic infections to metronidazole and β-lactams

Endodontic infections are mixed aerobic-anaerobic infections and several microbial groups associated to these pathologies are also involved in orofacial infections. The goal of this study was to evaluate the susceptibility of microorganisms isolated from endodontic infections to β-lactams and metronidazole and verify the production of β-lactamases. Clinical specimens were collected from 58 endodontic infections of 52 patients. The microorganisms were isolated in selective and non-selective culture media, under anaerobiosis and aerobiosis, and identified using biochemical methods. In the susceptibility tests, it was used an agar dilution method, and Wilkins-Chalgren agar enriched with blood, hemin and menadione for the anaerobes, while Mueller-Hinton agar was employed for the facultative anaerobes. The production of β-lactamases was evaluated through the biological and chromogenic cephalosporin methods. All tested isolates were sensitive to imipenem and 99.3% to amoxicillin/clavulanate association, while 16.1% showed resistance to amoxicillin and penicillin G, and 4.89% to cefoxitin. Resistance to metronidazole was just found in facultative anaerobes. Production of β-lactamases was detected in 18.2% of the isolates and presented a correlation with resistance to β-lactams.

Response of molars and non-molars to a strict supragingival control in periodontal patients

The posterior position in the arches is one of the factors that underlies the poor prognosis of molar teeth (M). It is speculated that M do not benefit from the oral hygiene routine as well as non-molars (NM) do. This study evaluated the response of M and NM to supragingival control during a 6-month period in 25 smokers (S) and 25 never-smokers (NS) with moderate-to-severe periodontitis. One calibrated examiner assessed visible plaque (VPI) and gingival bleeding (GBI) indexes, periodontal probing depth (PPD), bleeding on probing (BOP), and clinical attachment loss (CAL) at days 0 (baseline), 30 and 180. At baseline, M showed significantly higher mean values of VPI (p = 0.017) and PPD (p < 0.001) compared with NM; CAL was also greater in M (p < 0.001) and was affected by smoking (p = 0.007). The reductions obtained for periodontal indicators at day 180 showed similar responses between M and NM. For CAL, M (NS 0.57 ± 0.50; S 0.67 ± 0.64) and NM (NS 0.38 ± 0.23; S 0.50 ± 0.33) reached an almost significant difference (p = 0.05). Smoking did not influence the response to treatment. Multilevel analysis revealed that, only for PDD reductions, the interaction between sites, teeth and patient was significant (p < 0.001). It was concluded that M benefit from an adequate regimen of supragingival biofilm control; therefore, supragingival condition should be considered in the prognosis of molar teeth.

Normas jurídicas para a restauração ecológica: uma barreira a mais a dificultar o êxito das iniciativas?

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Stand-alone posterior ressection of lumbar hemivertebrae: case report

Background: In this case report we presented the stand-alone posterior approach for hemivertebra resection with unilateral laminar hooks.Case report: The patient was male and five years old. The coronal and sagital X-Rays images showed a failure of vertebral formation, segmented hemivertebra of third lumbar vertebra. The segmented hemivertebra caused a thoracolumbar scoliosis from T12 to L4 (rightside convexity), of 30 degrees (Cobb angle). The patient was submitted to a hemivertebra resection from posterior approach with two unilateral laminars hooks stabilization (superior lamina in L2 and inferior lamina of L4) in association to a compression system and autologus bone graft. The coronal X-Ray image after surgery showed a partial improvement to 25 degrees (Cobb angle) between L2 and L4. After three years of follow up it was not observed system failure (hook pull-out), maintance of curve (25 degrees of Cobb angle) and correction of trunk inbalance.Conclusion: The hemivertebra resection with posterior approach is safe, with satisfactory correction of scoliosis curve, which means is a good choice for congenital scoliosis surgical treatment.

An approach to generalized holomorphic functions

A study of the generalized holomorphic functions, HG(Omega), having in mind its strict elements, i.e. those which are in HG(Omega) - H(Omega), as well as the possibility of the existence of hybrid elements, i.e. elements which have, in a part of a domain Omega subset of C-n, the strict behaviour and, in another part of the same domain, the classical behaviour, is carried out in this work. The study of hybrid elements is important in the approach of a concept of generalized domain of holomorphy.

Cerâmicas avançadas no processo de retificação cilíndrica externa de mergulho com rebolos diamantados com a técnica da mímima quantidade de lubrificação e refrigeração otimizada

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

Transmission system expansion planning by an extended genetic algorithm

The paper presents an extended genetic algorithm for solving the optimal transmission network expansion planning problem. Two main improvements have been introduced in the genetic algorithm: (a) initial population obtained by conventional optimisation based methods; (b) mutation approach inspired in the simulated annealing technique, the proposed method is general in the sense that it does not assume any particular property of the problem being solved, such as linearity or convexity. Excellent performance is reported in the test results section of the paper for a difficult large-scale real-life problem: a substantial reduction in investment costs has been obtained with regard to previous solutions obtained via conventional optimisation methods and simulated annealing algorithms; statistical comparison procedures have been employed in benchmarking different versions of the genetic algorithm and simulated annealing methods.

Colombeau's theory and shock wave solutions for systems of PDEs

In this article we study the existence of shock wave solutions for systems of partial differential equations of hydrodynamics with viscosity in one space dimension in the context of Colombeau's theory of generalized functions. This study uses the equality in the strict sense and the association of generalized functions (that is the weak equality). The shock wave solutions are given in terms of generalized functions that have the classical Heaviside step function as macroscopic aspect. This means that solutions are sought in the form of sequences of regularizations to the Heaviside function that have to satisfy part of the equations in the strict sense and part of the equations in the sense of association.

Heaviside generalized functions and shock waves for a Burger kind equation

The purpose of the work is to study the existence and nonexistence of shock wave solutions for the Burger equations. The study is developed in the context of Colombeau's theory of generalized functions (GFs). This study uses the equality in the strict sense and the weak equality of GFs. The shock wave solutions are given in terms of GFs that have the Heaviside function, in x and ( x, t) variables, as macroscopic aspect. This means that solutions are sought in the form of sequences of regularizations to the Heaviside function, in R-n and R-n x R, in the distributional limit sense.

Kant e a epigênese a propósito do inato

Este artigo discute a posição de Kant acerca do inato, por meio do exame das metáforas orgânicas e do léxico biológico constantes nas reflexões manuscritas dos anos 1770 e em duas passagens da primeira Crítica. Considerando, em seguida, demais referências do autor à epigênese (agora em sentido estrito, na Crítica da faculdade do juízo), como também ao inato, o artigo aventa a possibilidade da ocorrência de um sentido biológico dessa forma de representação, que já estaria presente nos textos do filósofo.

Mola hidatiforme completa e eclâmpsia: relato de caso

O desenvolvimento de pré-eclâmpsia ou eclâmpsia antes da 20ª semana deve levar à suspeita de mola hidatiforme. Descrevemos um caso de mola hidatiforme completa (MHC) e eclâmpsia concomitante em paciente com 20 anos que apresentava sangramento genital, anemia, tamanho uterino excessivo e cistos de ovário, associados a hipertensão arterial e proteinúria. Os níveis de b-hCG estavam elevados e a função tiroidiana, alterada. A ultra-sonografia mostrou-se compatível com MHC. Após o esvaziamento uterino apresentou cefaléia e alterações visuais, seguidas por convulsões tônico-clônicas que cessaram com sulfato de magnésio hepta-hidratado a 50%. No seguimento pós-molar foi diagnosticado tumor trofoblástico gestacional (TTG) prontamente tratado com quimioterapia. A associação de MHC e eclâmpsia determina esvaziamento uterino imediato e seguimento pós-molar rigoroso, pelo risco aumentado de desenvolvimento de TTG.

Alterações da margem palpebral associadas ao ectrópio

OBJETIVO: Investigar alterações da margem palpebral em portadores de ectrópio. MÉTODOS: Foi feito estudo observacional, do qual participaram 53 portadores de ectrópio palpebral e 25 portadores de dermatocálase (grupo controle), estudando-se, a partir de imagens digitais, a posição dos cílios e a presença de inflamações na margem palpebral. Os dados foram submetidos a análise estatística. RESULTADOS: Os portadores de ectrópio apresentaram com maior freqüência diminuição do número de cílios, perda da convexidade, triquíase e distiquíase quando comparados aos indivíduos do grupo controle. CONCLUSÃO: O portador de ectrópio possui alterações da margem palpebral provavelmente decorrentes do processo inflamatório crônico que ocorre na região.