Let j(n) denote the smallest positive integer m such that every sequence of m consecutive integers contains an integer prime to n. Let Pn be the product of the first n primes and define h(n) = j(Pn). Presently, h(n) is only known for n ≤ 24. In this paper, we describe an algorithm that enabled the calculation of h(n) for n < 50. 0.

In this contribution a recently proposed iterative procedure is used to study the BFKL gluon Green's function at next–to–leading order. This is done in QCD and in N=4 supersymmetric Yang–Mills theory. The study includes an analysis of the evolution with energy and of angular dependences. A discussion of a novel resummation of running coupling terms in the QCD case is included.

we describe how to obtain electronic transport properties of disordered graphene, including the tight binding model and nearest neighbor hopping. we present a new method for computing, electronic transport wave function and greens function of the disordered graphene. in this method, based on the small rectangular approximation, break up the potential barriers in to small parts. then using the f...

background: cardiac rehabilitation has been recognized as one of the most effective strategies for managing cardiovascular indices as well as controlling the cardiovascular risk profile, in particular after coronary artery bypass graft surgery (cabg). however, the effect of this program on right ventricular function following cabg is unclear. the aim of this study was to evaluate the impact of ...

objective: to investigate the correlation between lower and higher order sensory functions and manual dexterity as well as to identify the sensory measures that could predict manual dexterity in patients with idiopathic parkinson’s disease (pd). materials and methods: in this cross-sectional study, 55 patients with idiopathic pd by mean age of 59.85 ± 11.89 years, and mean hoehn and yahr stage ...

introduction the dexamethasone test has been widely used for diagnosing hypercortisolism. materials and methods we assessed the relationship between the basal and suppressed cortisol values in urine and plasma during a low-dose dexamethasone test in patients with proved cushing&apos;s disease. results a statistically highly significant correlation was found (for urine cortisol: r = 0.66, p <0.0...