Abstract In this study, we consider a class of multiple-drawing opposite-reinforcing urns with time-dependent replacement rules. The has the symmetric property Friedman-type urn. We divide into small-increment regime and large-increment regime. For schemes, prove almost-sure convergence central limit theorem for proportion white balls by stochastic approximation. assuming affinity condition, sh...

In this paper we answer a question of Friedman, providing an ω-separable model M of the λβη-calculus. There therefore exists an α-separable model for any α ≥ 0. The model M permits no non-trivial enrichment as a partial order; neither does it permit an enrichment as a category with an initial object. The open term model embeds in M: by way of contrast we provide a model which cannot embed in an...

t is an honor and a pleasure to have this opportunity, on the anniversary of Milton and Rose Friedman's popular classic, Free to Choose, to speak on Milton Friedman's monetary framework and his contributions to the theory and practice of monetary policy. About a year ago, I also had the honor, at a conference at the University of Chicago in honor of Milton's ninetieth birthday, to discuss the c...

In our first paper on stochastic stability [1] we proved several results which we could not find in the literature. Professor Hasminskh* has kindly pointed out that several of our initial results can be obtained directly from theorems found in his book [2]. In particular, the results of §§1 and 2 of [1] follow directly from results in Chapters 5 and 6 of [2]. Furthermore, the methods of §6.8 of...

42 Friedman—Lymphoma Treatment Michael Friedman, ND, is Executive Director for the Association of Advancement of Restorative Medicine and Chief Scientific Officer for Restorative Formulations, Montpelier, Vermont. Joshua Baisley, BSc (Hons), is a medical writer in Ontario, Canada, with over 7 years of preclinical and clinical research experience in natural health products; he has published four...

In this editorial by Lisa Keay and David S Friedman (BMJ 2011;343:d4793, doi:10.1136/bmj.d4793) the authors mixed up their workplace affiliations. The workplace affiliation for Lisa Keay should have been the one given for David S Friedman, and vice versa.