Numerical Solution for the Extrapolation Problem of Analytic Functions.

In this work, a numerical solution for the extrapolation problem of a discrete set of values of an unknown analytic function is developed. The proposed method is based on a novel numerical scheme for the rapid calculation of higher order derivatives, exhibiting high accuracy, with error magnitude of (10) or less. A variety of integrated radial basis functions are utilized for the solution, as well as variable precision arithmetic for the calculations.

An analysis of retractions of dental publications.

Objectives: To comprehensively report on the characteristics of retracted publications in the field of dentistry.

Methods: We searched MEDLINE (via PubMed), PubMed Central, Web of Science and Google Scholar databases for dental retracted articles from database inception to 02 July 2018. In addition, we scanned the search engine Google Scholar, and the website, Retraction Watch (www.

A survey of prevalence of narrative and systematic reviews in five major medical journals.

Background: Systematic reviews may provide less biased evidence than narrative reviews because they observe a strict methodology, similarly to primary studies. Hence, for clinical research questions, systematic reviews should be the study design of choice. It would be important to evaluate the prevalence and characteristics of narrative and systematic reviews published in prominent medical journals.

Emergence of large scale structure in barotropic β-plane turbulence.

In this Letter, we use a nonequilibrium statistical theory, the stochastic structural stability theory (SSST), to show that an extended version of this theory can make predictions for the formation of nonzonal as well as zonal structures (lattice and stripe patterns) in forced homogeneous turbulence on a barotropic β plane. Comparison of the theory with nonlinear simulations demonstrates that SSST predicts the parameter values for the emergence of coherent structures and their characteristics (scale, amplitude, phase speed) as they emerge and at finite amplitude. It is shown that nonzonal structures (lattice states or zonons) emerge at lower energy input rates of the stirring compared to zonal flows (stripe states) and their emergence affects the dynamics of jet formation.