Numerical integration rules with improved accuracy close to singularities

Sometimes it is necessary to obtain a numerical integration using only discretised data. In some cases, the data contains singularities which position is known but does not coincide with a discretisation point, and the jumps in the function and its derivatives are available at these positions. The motivation of this paper is to use the previous information to obtain numerical quadrature formulas that allow approximating the integral of the discrete data over certain intervals accurately. This work is devoted to the construction and analysis of a new nonlinear technique that allows to obtain accurate numerical integrations of any order using data that contains singularities, and when the integrand is only known at grid points. The novelty of the technique consists in the inclusion of correction terms with a closed expression that depends on the size of the jumps of the function and its derivatives at the singularities, that are supposed to be known. The addition of these terms allows recovering the accuracy of classical numerical integration formulas even close to the singularities, as these correction terms account for the error that the classical integration formulas commit up to their accuracy at smooth zones. Thus, the correction terms can be added during the integration or as post-processing, which is useful if the main calculation of the integral has been already done using classical formulas. The numerical experiments performed allow us to confirm the theoretical conclusions reached in this paper.Comment: 23 pages, 5 Figures, 3 Table

Experiencias de aprendizaje

Libro de experiencias de aprendizaje del grupo de investigación Giteca y de los semilleros de investigación en la que se visualizan las diferentes experiencias lideradas por instructores y aprendices en las diferentes áreas y líneas de formación.Book of learning experiences of the Giteca research group and the research hotbeds in which the different experiences led by instructors and apprentices in the different areas and lines of training are visualized.Propagación in vitro como un camino de aprendizaje para la formación profesional integral -- Experiencias significativas de aprendizaje, laboratorio de hematología y parasitología animal del Complejo Tecnológico para la Gestión Agroempresarial CTPGA-SENA -- Experiencias significativas adquiridas por aprendices en el área de SENNOVA, Complejo Tecnológico para la Gestión Agroempresarial. Regional – Antioquia -- El papel de la prensa escrita en el desarrollo de la competencia textual -- Aprendiendo a Emprender con un emprendedor -- Ven y te cuento sobre ADSI -- Observaciones fenológicas del cultivo de cacao (Theobroma cacao) en los municipios de Tarazá, El Bagre y Caucasia dentro de la formación del programa SENA emprende rural -- Tejiendo sueños desde la formación -- Forraje verde hidropónico como alternativa para disminuir la expansión de la frontera agrícola en el Putumayo -- La importancia del saber hacer para ser competente en el sector agrícola -- Experiencia significativa de aprendizaje semilleros de investigación -- La investigación como ente transformador de pensamientos -- Piscícola Paraguay; Mi Sueño, Mi Proyecto de Vida! -- Estrategia de aprendizaje a través de la investigación y la empresa aplicando un programa de Responsabilidad Social Empresarial –RSE -- Matemática aplicada para procesos agroindustriales de panificaciónna85 página

Lipid profile, cardiovascular disease and mortality in a Mediterranean high-risk population: the ESCARVAL-RISK study

The potential impact of targeting different components of an adverse lipid profile in populations with multiple cardiovascular risk factors is not completely clear. This study aims to assess the association between different components of the standard lipid profile with all cause mortality and hospitalization due to cardiovascular events in a high-risk population. Methods This prospective registry included high risk adults over 30 years old free of cardiovascular disease (2008±2012). Diagnosis of hypertension, dyslipidemia or diabetes mellitus was inclusion criterion. Lipid biomarkers were evaluated. Primary endpoints were all-cause mortality and hospital admission due to coronary heart disease or stroke. We estimated adjusted rate ratios (aRR), absolute risk differences and population attributable risk associated with adverse lipid profiles. Results 51,462 subjects were included with a mean age of 62.6 years (47.6% men). During an average follow-up of 3.2 years, 919 deaths, 1666 hospitalizations for coronary heart disease and 1510 hospitalizations for stroke were recorded. The parameters that showed an increased rate for total mortality, coronary heart disease and stroke hospitalization were, respectively, low HDL-Cholesterol: aRR 1.25, 1.29 and 1.23; high Total/HDL-Cholesterol: aRR 1.22, 1.38 and 1.25; and high Triglycerides/HDL-Cholesterol: aRR 1.21, 1.30, 1.09. The parameters that showed highest population attributable risk (%) were, respectively, low HDL-Cholesterol: 7.70, 11.42, 8.40; high Total/HDL-Cholesterol: 6.55, 12.47, 8.73; and high Triglycerides/ HDL-Cholesterol: 8.94, 15.09, 6.92. Conclusions In a population with cardiovascular risk factors, HDL-cholesterol, Total/HDL-cholesterol and triglycerides/HDL-cholesterol ratios were associated with a higher population attributable risk for cardiovascular disease compared to other common biomarkers

About a dubious proof of a correct result about closed Newton Cotes error formulas

In this study, we comment about a wrong proof, at least incomplete, of the closed Newton Cotes error formulas for integration in a closed interval [a,b].\left[a,b]. These error formulas appear as an intuitive generalization of the simple proof for the error formula of the trapezoidal rule, and their proofs present one controversial step, which converts the proofs in mischievous, or at least, this step needs a clear clarification that it is not easy to derive. The correct proof of such formulas comes from a technique based on the Peano kernel

A 6-minute sub-maximal run test to predict VO2 max

Maximal oxygen uptake (VO2 max) is a key indicator to assess health as well as sports performance. Currently, maximal exercise testing is the most accurate measure of maximal aerobic power, since submaximal approaches are still imprecise. In this paper, we propose a new method to predict VO2max from a submaximal, low intensity, test in sports men and women. 182 males and 108 females from the High Performance Center of Pontevedra (Spain), aged 10–46 years old, with a VO2max between 30.1 and 81.2 mL·min−1·kg−1, completed a maximal incremental test to volitional exhaustion. The test began at a speed of 6 km·h−1 and increased by 0.25 km·h−1 every 15 seconds. Using the data gathered during the first 6 minutes of the test, two different regression models were adjusted using functional data analysis and a traditional linear regression model with scalar covariates. The functional regression model obtained the best results, adjusted r2 = 0.845 and RMSE = 2.8 mL·min−1·kg−1, but the linear regression model also obtained a good fit, adjusted r2 = 0.798 and RMSE = 3.5 mL·min−1·kg−1. Both methods are more accurate than classical submaximal tests, although oxygen consumption needs to be measured during the test

Ciudades que cruzan la frontera: un análisis crítico del proyecto Eurocidade Chaves-Verín

Las distintas relaciones políticas, sociales, institucionales y económicas que pueden establecer-se entre dos ciudades fronterizas han suscitado un interesante debate teórico acerca de cómo denominar esta particular forma de cooperación. En este artículo, elaboramos una revisión de la literatura académica, para optar por un término que nos parece operativo para el análisis de casos concretos: ciudades que cruzan la frontera. Este concepto conecta con un marco teórico propuesto para el estudio de proyectos de cooperación en entornos urbanos fronterizos, asentado en cuatro elementos: territorio de acción común, marco institucional, actividades e iniciativas, simbología y comunicación.Teniendo en cuenta de manera preferente el contexto europeo, hemos optado por el estudio de caso de la denominada Eurocidade Chaves-Verín, pionera en el marco peninsular. El análisis se estructura en torno a los factores identificados en el marco teórico, empleando una metodología cuantitativa y cualitativa (consulta de información oficial, trabajo de campo y entrevistas semi-estructuradas). El resultado final de la investigación invita a afirmar que estamos ante un caso de ciudades que cruzan la frontera, si bien aún quedan retos para mejorar la cooperación transfron-teriza

Servicios menores de asesoría, consultoría y formación de recursos humanos en el ámbito de competencia de la Subcoordinación de Capacitación Externa y Posgrado (SCEyP)

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Pharmaceutical Cost Analysis of Diabetes Mellitus Using Clinical Risk Groups in Valencian Community

Metabolic agents have the highest expense (130 million Euros per year in the Valencian Community) among the top five therapeutic categories of drugs for adults aged 18 and over. Treatment of Diabetes Mellitus (DM) is the main cause of this. Moreover, diabetes is a chronic illness that requires continuous medical care and patient self-management education to prevent acute complications and to reduce the risk of long-term complications. Clinical Risk Groups (CRGs) are a tool claimed as valid for diabetes patient management. In this context we use this methodology to conduct a pharmaceutical cost analysis of diabetes in an Eastern Spanish region where the prevalence reaches approximately 8 %.Romero; M.; Usó Talamantes, R.; Vivas Consuelo, DJJ.; De La Poza, E.; Sancho Mestre, C.; Trillo Mata, JL.; Barrachina Martínez, I. (2013). Pharmaceutical Cost Analysis of Diabetes Mellitus Using Clinical Risk Groups in Valencian Community. Value in Health. 16(7):691-691. https://doi.org/10.1016/j.jval.2013.08.206769169116