Convergence of the Bayes posterior measure is considered in canonical statistical settings where observations sit on a geometrical object such as a compact manifold, or more generally on a compact metric space verifying some conditions. A natural geometric prior based on randomly rescaled solutions of the heat equation is considered. Upper and lower bound posterior contraction rates are derived.

The in-plane static screening of the field originated by a charge placed in a graphene sheet is investigated. A self-consistent field equation in the real space domain is obtained by using a suitable Thomas-Fermi procedure. Exact and approximated (for qualitative considerations) solutions are presented. In the case of a charged sheet, the screened potential presents a tail dependent on the free...

Oxidative stress affects the availability of key-regulators of vascular homeostasis and controls a number of signaling pathways relevant to myocardial and vascular disease. Reactive oxygen species are generated by different intracellular molecular pathways principally located in mitochondria. The notion that mice carrying a targeted mutation of the p66 gene display prolonged lifespan, reduced p...

The son of Ellen Key and Charles Hunt Morgan, T. H. Morgan was born on 25 September 1866 into a prominent family in Lexington, Kentucky. Morgan grew up exploring the environment around his childhood home and developed a special interest in fossils. As a young man, he spent a summer employed doing geological and biological fieldwork in the Kentucky mountains. He received his BS degree from the U...

E . Donnall Thomas, M.D., Emeritus Director of the Clinical Research Division of the Fred Hutchinson Cancer Research Center and Emeritus Professor of Medicine at the University of Washington in Seattle, was once called a humble humanitarian. That was when he already had received the Nobel Prize for Medicine and Physiology in 1990—but this is only one side of the man who had been a dedicated res...

in this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. a fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. thomas algorithm is used to solve the tri-diagonal system. the stability of the algorithm is investigated. it ...

Is it possible for an individual that has gone out of being to come back into again? The English Aristotelian, Thomas White, argued is not. Hobbes disagreed and used the case Ship Theseus argue individuals have may again. This paper provides first systematic account their arguments. It doubtful a consistent against White. Still, his criticism prompted White clarify views on identity over time i...

The Thomas-Fermi (TF) equation has proved to beuseful for the treatment of many physical phenomena. In this pa-per, the traveling wave solutions of the KdV equation is investi-gated by the simplest equation method. Also, the effect of differentparameters on these solitary waves is considered. The numericalresults is conformed the good accuracy of presented method.    

Desarguesian projective planes of square order are characterized by the property that every quadrangle lies on a unique Baer subplane.