Most experimental measurements of αs are limited in precision by theoretical errors arising from missing higher order terms and uncertainties in the hadronisation corrections which are normally derived from the phenomenological Monte Carlo models. Recently, improved perturbative QCD predictions for the event shape observables, C-parameter and the Jet Broadenings (BW , BT ), have become availabl...

In this paper we prove strong convergence theorems for approximating the fixed point of Lipschitzian semigroup and infinite family of nonexpansive mappings with respect to finite family of sequence {μi,n} ∞ i=1,n=1 of left strong regular invariant means and Meir-Keeler type contraction in uniformly convex and smooth Banach spaces. Our result extend and improve many recent results.

We investigate the rotation effects on mesonic condensation in isospin matter. Using two-flavor NJL effective model with a global rotation, we demonstrate two important of its phase structure: rotational suppression scalar-channel condensates, particular pion region; and enhancement rho region vector-channel condensate. A new diagram for matter under is mapped out ω −μI plane where three distin...

In this paper, the behavior of intermediate (μ/μI , λ)-ES with self-adaptation is considered for two classes of ridge functions: the sharp and the parabolic ridge. Using a step-by-step approach to describe the system’s dynamics, we will investigate the underlying causes for the different behavior of the ES on these function types and the effects of intermediate recombination.

1. An estimate for the HK multiplicity of a curve Let X be a nonsingular projective curve over an algebraically closed field k of characteristic p > 0. We fix the following notations for a vector bundle V on X . If 0 = F0 ⊂ F1 ⊂ F2 ⊂ · · · ⊂ Ft ⊂ Ft+1 = V is the Harder-Narasimhan filtration (or HN filtration) then we denote μ(Fi) = μ(Fi/Fi−1) and μ(Fi) = μ(Fi+1/Fi). Now throughout the section w...

The method of differential-geometry is applied for deriving steady state conditions for the (μ/μI , λ)-ES on the general quadratic test function disturbed by fitness noise of constant strength. A new approach for estimating the expected final fitness deviation observed under such conditions is presented. The theoretical results obtained are compared with real ES runs showing a surprisingly exce...