A direct approach is applied to the periodic amplification of a soliton in an optical fibre link with loss. In a single soliton case, the adiabatic solution and first-order correction are given for the system. The apparent advantage of this direct approach is that it not only presents the slow evolution of soliton parameters, but also the perturbation-induced radiation, and can be easily used t...

We have calculated diffractive dijet production in deep-inelastic scattering (DIS) at lowQ2 and next-to-leading order (NLO) of perturbative QCD, including contributions from direct and resolved photons. We study how the cross section depends on the factorization scheme and scale Mγ at the virtual photon vertex for the occurance of factorization breaking. The strong Mγ -dependence, which is pres...

In this paper we consider solving a sequence of weighted linear least squares problems where the only changes from one problem to the next are the weights and the right hand side (or data). We alternate between iterative and direct methods to solve the normal equations for the least squares problems. The direct method is the Cholesky factorization. For the iterative method we discuss a class of...

Asabasis for a systematic approach to investigating the effects ofwritten corrective feedback, this article presents a typology of the different types available to teachers and researchers. The typology distinguishes two sets of options relating to (1) strategies for providing feedback ( for example, direct, indirect, or metalinguistic feedback) and (2) the students’ response to the feedback ( ...

We experimentally demonstrate an extremely compact and programmable pulse shaper composed of a single phase mask encoded into a spatial light modulator. Its principle of operation is similar to the previously theoretically introduced quasi-direct space-to-time pulse shaper [Opt. Express16, 16993 (2008)], which is based on diffractive optics. The proposed pulse shaper exhibits not only real-time...

This paper considers the small sample properties of the mean group estimator of the long-run coefficients in dynamic heterogeneous panels, and using Monte Carlo techniques examines the effectiveness of a number of alternative bias-correction procedures in reducing the small sample bias of these estimators. Four different biascorrected estimators of the long-run coefficients are considered. A “n...