Analytic solution of the resolvent equations for heterogeneous random graphs: spectral and localization properties

The spectral and localization properties of heterogeneous random graphs are determined by the resolvent distributional equations, which have so far resisted an analytic treatment. We solve analytically the resolvent equations of random graphs with an arbitrary degree distribution in the high-connectivity limit, from which we perform a thorough analysis of the impact of degree fluctuations on the spectral density, the inverse participation ratio, and the distribution of the local density of states. We show that all eigenvectors are extended and that the spectral density exhibits a logarithmic or a power-law divergence when the variance of the degree distribution is large enough. We elucidate this singular behaviour by showing that the distribution of the local density of states at the center of the spectrum displays a power-law tail determined by the variance of the degree distribution. In the regime of weak degree fluctuations the spectral density has a finite support, which promotes the stability of large complex systems on random graphs.Comment: 22 pages, 6 figure

Análise de Indicadores Esqueléticos para a Reconstituição de Padrões de Actividade em Populações Humanas Antigas

O estudo dos esqueletos das populações antigas fornece dados acerca da sua demografia, saúde e bem-estar, dieta, violência, parentesco e padrões de actividade. Os ossos adaptam-se em forma e em tamanho, em resposta activa a estímulos mecânicos, os quais, se forem prolongados e/ou intensos, traduzem-se em determinados indicadores que incluem: patologias degenerativas relacionadas com efeitos mecânicos sobre as articulações, estrutura e biomecânica dos ossos longos e morfologia dos locais de inserção dos músculos (enteses). Pretende-se com a presente revisão avaliar a utilização de entesopatias como indicadores esqueléticos na reconstituição de padrões de actividade em populações antigas

Core Components for Infection Prevention and Control Programs: A World Health Organization Network Report

Under the leadership of the World Health Organization (WHO), the core components necessary for national and local infection prevention and control programs are identified. These components were determined by a network of international experts who are representatives from WHO regional offices and relevant WHO programs. The respective roles of the national authorities and the local healthcare facilities are delineate

Hybrid Maneuver for Gradient Search with Multiple Coordinated AUVs

This work presents a hybrid maneuver for gradient search with multiple AUV's. The mission consists in following a gradient field in order to locate the source of a hydrothermal vent or underwater freshwater source. The formation gradient search exploits the environment structuring by the phenomena to be studied. The ingredients for coordination are the payload data collected by each vehicle and their knowledge of the behaviour of other vehicles and detected formation distortions

Development of sports network analysis : methodological considerations

The understanding of dynamic and complex systems requires a multi-directional approach toward the whole system. New mathematical approaches have been proposing new tools and techniques to understand the collective dynamics in team sports. Nevertheless, to ensure the quality of the techniques it should be considered the data collecting procedures. For that reason, the aim of this article is to suggest a set of methodological considerations to optimize the match analysis based on network.info:eu-repo/semantics/publishedVersio

Application of quality-by-design approach in the analytical method development for quantification of sugars in sugarcane honey by reversed-phase liquid chromatography

Produced in Madeira Island from regional sugarcane cultivars through a traditional manufacturing and storage process, sugarcane honey (SCH) is a black syrup recognized by its excellent quality. Its economic value has led to the emergence of adulterated SCH, whereby the identification of molecular markers became an essential task in order to overcome the fraudulent activities, protect its authenticity, and guarantee the consumer safety. In the present study, an analytical strategy based on ultrasound-assisted liquid liquid extraction (USA-LLE) followed by reversed-phase liquid chromatography with a refractive index detector (LC-RI) was developed for the determination of sugars (glucose, fructose, sucrose, xylose, and mannose) in SCH samples from certified producers, supported on analytical quality-by-design (AQbD) approach, as a useful tool to establish its typicality. The application of AQbD was based on analytical risk assessment, multivariate statistics and quality control procedures for definition of the Method Operable Design Region (MODR). The optimal conditions into MODR were accomplished using BEH Amide column operating at a temperature of 80 °C and a flow rate of 300 μL min−1 , with a mobile phase composed by acetone and water (85:15, v v−1 ) at a flow rate of 1.0 mL min−1 . The robustness was determined by Monte Carlo simulation and capability analysis. The concentration-response function for all sugars was described by polynomial models. Accuracy was presented by recovery values between 98.2 and 119.5%. The analytical figures of merit validated the utility of AQbD in the systematic design of a LC-RI method with fine sensitivity for sugar analysis in SCH.info:eu-repo/semantics/publishedVersio