On a generalized Laguerre operational matrix of fractional integration

A new operationalmatrix of fractional integration of arbitrary order for generalized Laguerre polynomials is derived.The fractional integration is described in the Riemann-Liouville sense.This operational matrix is applied together with generalized Laguerre tau method for solving general linearmultitermfractional differential equations (FDEs).Themethod has the advantage of obtaining the solution in terms of the generalized Laguerre parameter. In addition, only a small dimension of generalized Laguerre operational matrix is needed to obtain a satisfactory result. Illustrative examples reveal that the proposedmethod is very effective and convenient for linear multiterm FDEs on a semi-infinite interval.

Abordagem farmacoepidemiológica da terapêutica no idoso: um ensaio em meio hospitalar

Introdução: O envelhecimento demográfico e o aumento da esperança de vida, criam condições para uma maior incidência de doenças degenerativas. Vários aspectos críticos envolvem a medicação no idoso, tais como: polimedicação frequente, com risco acrescido de ocorrência de reacções adversas, relacionadas com interacções medicamentosas e eventual medicação desaconselhada, em que o risco pode ser superior ao benefício. Estes aspectos são particularmente críticos no idoso hospitalizado. Objectivo: Este estudo teve como objectivo estimar a prevalência da polimedicação em idosos hospitalizados e analisar a medicação considerada inadequada nesta população. Participantes e metodologia: Seguiu-se um modelo retrospectivo descritivo transversal, reportando-se os dados a um período de um ano e meio, incidindo sobre o último internamento. A natureza da medicação, foi analisada de acordo com o Formulário Terapêutico Nacional, Resumo das Caracteristicas do Medicamento e com critérios de Beers-2002.Englobou 100 idosos (>65 anos) utentes do Hospital Cuf Descobertas, em regime de internamento. Os dados pessoais e clínicos e respectivo mapa farmacoterapêutico, foram introduzidos em base de dados construída para este estudo, em Access 2003 SP2. Procedeu-se à analise estatística (SPSS 13,0), descritiva, com cálculo de medidas de tendência central; análise univariada para todas as variáveis relevantes e análise bi-variada para quantificar a prevalência da polimedicação por sexo e grupo etário. Resultados:Dos doentes estudados (65-98 anos), maioritariamente femininos, 7 apresentavam 4 patologias em simultâneo, 13:3 patologias, 27:2 patologias e 30:1 patologia. Em 23 não se verificou qualquer patologia crónica. A hipertensão (n=49:27,5%) e a patologia cardiovascular (n=41:23%) foram as mais frequentemente encontradas na amostra em estudo sendo as de menor frequência a patologia reumática (n=1:0,56%), a osteoporose e os problemas psíquicos (n=2:1,12%. A prevalência de polimedicação foi de 84% e nº de medicamentos prescrito em simultâneo variou entre 2 e 23.Não se observou associação entre a polimedicação, a idade: e o sexo. Em apenas um caso foi identificado um medicamento desaconselhado em função do diagnóstico (metoclopramida:Parkinson), e independentemente do diagnóstico a amiodariona foi o mais frequente (25%), hidroxizina (22%), ticlopidina (2%) e cetorolac (1%). Conclusões: A polimedicação é um fenómeno muito frequente nos idosos hospitalizados; o número de medicamentos envolvidos pode ser elevado e a prevalência de medicamentos que requerem uma ponderação sobre o risco/benefício no idoso, indicia a vantagem da revisão da terapêutica, impondo-se a implementação de estratégias informativas sobre os mesmos. Background: The demographic aging and expansion of life expectancy create conditions for increased occurrence of degenerative illnesses. Several critical aspects involve the medication of the elderly, such as: frequent polipharmacy with increased occurrence of adverse drug reactions, related to medication interactions and inappropriate prescribing, in which the benefits can be inferior to the risks.These aspects are particularly critical in the hospitalized elderly. Aim: This study aimed to estimate the prevalence of polipharmacy in hospitalized elderly and to analyze the medication considered inappropriate in this population. Participants and Methodology: A cross sectional model was followed, in which the data used relate to a period of a year and a half, focussing on the last hospitalization. The nature of the medication was analysed according to National Therapeutic Formulary, Drug Characteristics Summary and according to Beers-2002.It considered 100 elderly (>65 years) hospitalized at Hospital Cuf Descobertas. The personal and clinical data and the corresponding pharmacotherapeutic registration were introduced in a database created for this study in Access 2003 SP2. Descriptive statistics was calculated trough SPSS 13,0,.Exploraty analysis consisted in measures of average and spread for all variable considered relevant and univariate and bivariate analysis to quantify the prevalence of polipharmacy by sex and age and to relate polipharmacy with inappropriate medication. Results: Of the patients studied (65-98 years), the majority were women, 7 presented 4 pathologies, 13:3 pathologies, 27:2 pathologies and 30:1 pathology. In 23 patients there was any chronic pathology. Hypertension (n=49:27,5%) and cardiovascular disease (n=41:23%) were the most frequent disease in our study, and the minimal values were observed in rheumatism (n=1:0,56%), osteoporosis and psychic disorders (n=2:1,12%. The prevalence of polipharmacy was of 84% and the amount of medication simultaneously prescribed varied between 2 and 23.No association was observed between polipharmacy and age or gender. In only one case inappropriate medication was identified concerning diagnosis (metoclopramid: Parkinson), and independent of diagnosis the amiodaron was the most frequent (25%), hydroxyzin (22%), ticlopidin (2%). and ketorolac (1%). Conclusions: Polipharmacy is very prevalent among elderly people admitted to the hospital; the number of inappropriate medication can also be very high and this evidence should be collected in order to accomplish good drug use reviews and informative strategies in the hospital setting.

Weakly spectrally complete pair of matrices

Let and be matrices over an algebraically closed field. Let be elements of such that and . We give necessary and sufficient condition for the existence of matrices and similar to and, respectively, such that has eigenvalues.

A Review of Operational Matrices and Spectral Techniques for Fractional Calculus

Recently, operational matrices were adapted for solving several kinds of fractional differential equations (FDEs). The use of numerical techniques in conjunction with operational matrices of some orthogonal polynomials, for the solution of FDEs on finite and infinite intervals, produced highly accurate solutions for such equations. This article discusses spectral techniques based on operational matrices of fractional derivatives and integrals for solving several kinds of linear and nonlinear FDEs. More precisely, we present the operational matrices of fractional derivatives and integrals, for several polynomials on bounded domains, such as the Legendre, Chebyshev, Jacobi and Bernstein polynomials, and we use them with different spectral techniques for solving the aforementioned equations on bounded domains. The operational matrices of fractional derivatives and integrals are also presented for orthogonal Laguerre and modified generalized Laguerre polynomials, and their use with numerical techniques for solving FDEs on a semi-infinite interval is discussed. Several examples are presented to illustrate the numerical and theoretical properties of various spectral techniques for solving FDEs on finite and semi-infinite intervals.

An efficient numerical scheme for solving multi-dimensional fractional optimal control problems with a quadratic performance index

The shifted Legendre orthogonal polynomials are used for the numerical solution of a new formulation for the multi-dimensional fractional optimal control problem (M-DFOCP) with a quadratic performance index. The fractional derivatives are described in the Caputo sense. The Lagrange multiplier method for the constrained extremum and the operational matrix of fractional integrals are used together with the help of the properties of the shifted Legendre orthonormal polynomials. The method reduces the M-DFOCP to a simpler problem that consists of solving a system of algebraic equations. For confirming the efficiency and accuracy of the proposed scheme, some test problems are implemented with their approximate solutions.

Female adolescents' views on a youth-friendly clinic.

OBJECTIVE: To assess satisfaction among female patients of a youth friendly clinic and to determine with which factors this was associated. METHODS: A cross-sectional survey was conducted in an adolescent clinic in Lausanne, Switzerland, between March and May 2008. All female patients who had made at least one previous visit were eligible. Three hundred and eleven patients aged 12-22 years were included. We performed bivariate analysis to compare satisfied and non-satisfied patients and constructed a log-linear model. RESULTS: Ninety-four percent of patients were satisfied. Satisfied female adolescents were significantly more likely to feel that their complaints were heard, that the caregiver understood their problems, to have no change of physician, to have received the correct treatment/help and to follow the caregiver's advice. The log-linear model highlighted four factors directly linked with patient satisfaction: outcome of care, continuity of care, adherence to treatment and the feeling of being understood. CONCLUSIONS: The main point for female adolescent patient satisfaction lies in a long term, trustworthy relationship with their caregiver. Confidentiality and accessibility were secondary for our patients.

Is Internet use unhealthy? A cross-sectional study of adolescent Internet overuse.

OBJECTIVE: To assess whether problematic internet use is associated with somatic complaints and whether this association remains when checking for internet activity among a random sample of adolescents living in the canton of Vaud, Switzerland. METHODS: Cross-sectional survey of 3,067 8th graders (50.3% females) divided into average (n = 2,708) and problematic (n = 359) Internet users and compared for somatic complaints (backache, overweight, headaches, musculoskeletal pain, sleep problems and sight problems) controlling for sociodemographic and internet-related variables. Logistic regressions were performed for each complaint and for all of them simultaneously controlling variables significant at the bivariate level. RESULTS: At the multivariate level, when taken separately, problematic internet users were more likely to have a chronic condition (adjusted odds ratio [aOR] with 95% CI: 1.58 [1.11:2.23]) and to report back pain (aOR: 1.46 [1.04:2.05]), overweight (aOR: 1.74 [1.03:2.93]), musculoskeletal pain (aOR: 1.36 [1.00:1.84]) and sleep problems (aOR: 2.16 [1.62:2.88]). When considered in the full model, only sleep problems remained significant (aOR: 2.03 [1.50:2.74]). CONCLUSIONS: Our results confirm that problematic internet users report health problems more frequently, with lack of sleep being the most strongly associated and seeming to act as mediator regarding the other ones. Clinicians should remember to screen for excessive internet use their patients complaining of sleep-related problems, back or musculoskeletal pain or overweight. Clinicians should advise parents to limit the amount of time their adolescent children can spend online for leisure activities. Furthermore, limiting the number of devices used to connect to the internet could help warrant enough sleeping time.

Problems of allometric scaling analysis: examples from mammalian reproductive biology.

Biological scaling analyses employing the widely used bivariate allometric model are beset by at least four interacting problems: (1) choice of an appropriate best-fit line with due attention to the influence of outliers; (2) objective recognition of divergent subsets in the data (allometric grades); (3) potential restrictions on statistical independence resulting from phylogenetic inertia; and (4) the need for extreme caution in inferring causation from correlation. A new non-parametric line-fitting technique has been developed that eliminates requirements for normality of distribution, greatly reduces the influence of outliers and permits objective recognition of grade shifts in substantial datasets. This technique is applied in scaling analyses of mammalian gestation periods and of neonatal body mass in primates. These analyses feed into a re-examination, conducted with partial correlation analysis, of the maternal energy hypothesis relating to mammalian brain evolution, which suggests links between body size and brain size in neonates and adults, gestation period and basal metabolic rate. Much has been made of the potential problem of phylogenetic inertia as a confounding factor in scaling analyses. However, this problem may be less severe than suspected earlier because nested analyses of variance conducted on residual variation (rather than on raw values) reveals that there is considerable variance at low taxonomic levels. In fact, limited divergence in body size between closely related species is one of the prime examples of phylogenetic inertia. One common approach to eliminating perceived problems of phylogenetic inertia in allometric analyses has been calculation of 'independent contrast values'. It is demonstrated that the reasoning behind this approach is flawed in several ways. Calculation of contrast values for closely related species of similar body size is, in fact, highly questionable, particularly when there are major deviations from the best-fit line for the scaling relationship under scrutiny.

Les amours de feu Mr Tristan et autres pièces tres-curieuses ([Reprod.])

Collection : French books 1601-1700 ; 218.2