In the last years network connectivity continuously expanded. However, existing collaborative environments were not designed to benefit from the fact that users are connected most of the time. For example, Wiki or version control systems allow users to work in isolation, but they tolerate blind modifications. For instance, users may concurrently perform the same task or they might work on obsol...

Abstract. We give multidimensional generalizations of several transformation formulae for basic hypergeometric series of a specific type. Most of the upper parameters of the series differ multiplicatively from corresponding lower parameters by a nonnegative integer power of the base q. In one dimension, formulae for such series have been found, in the q → 1 case, by B. M. Minton and P. W. Karls...

Gasper Tkačik, Olivier Marre, Thierry Mora, Dario Amodei, Michael J Berry II, and William Bialek, Institute of Science and Technology Austria, Am Campus 1, A–3400 Klosterneuburg, Austria, Institution de al Vision, UMRS 968 UPMC, INSERM, CNRS U7210, CHNO Quinze–Vingts, F–75012 Paris, France, Laboratoire de Physique Statistique de l’École Normale Superieure, CNRS and Universites Paris VI and Pari...

Abstract Date Presented 04/01/2022 The purpose of this research was to determine whether grit and anxiety are related the academic performance OT graduate students during cross-sectional period seismic change in higher education due emerging coronavirus disease 2019 (COVID-19) pandemic. expected contribution study includes how prevalence COVID-19 pandemic affects a predominately virtual learnin...

The term `discourse' is used to describe the entangled and contested transactions through which real-world planning and policy issues are addressed. Studies of discourses have become an important way of understanding how power is mediated in planning, but the methods through which discourses are identified and evaluated is as yet unclear in the literature. Here, we describe our attemptöwith sti...

The problem to decide whether a given rational function in several variables is positive, in the sense that all its Taylor coefficients are positive, goes back to Szegő as well as Askey and Gasper, who inspired more recent work. It is well known that the diagonal coefficients of rational functions are D-finite. This note is motivated by the observation that, for several of the rational function...

We describe the utility of integral representations for sums basic hypergeometric functions. In particular we use these to derive an infinite sequence transformations symmetrizations over certain variables which functions possess. These were studied by Bailey, Slater, Askey, Roy, Gasper and Rahman also used facilitate computation outstanding problems in theory orthogonal polynomials q-Askey sch...

We dedicate this paper to Sir John Kingman on his 70th Birthday. In modern mathematical population genetics the ancestral history of a population of genes back in time is described by John Kingman’s coalescent tree. Classical and modern approaches model gene frequencies by diffusion processes. This paper, which is partly a review, discusses how coalescent processes are dual to diffusion process...