Recent measurements for F2(x, Q ) have been analyzed in terms of the ‘dynamical’ and ‘standard’ parton model approach at NLO and NNLO of perturbative QCD. Having fixed the relevant NLO and NNLO parton distributions, the implications and predictions for the longitudinal structure function FL(x,Q ) are presented. It is shown that the previously noted extreme perturbative NNLO/NLO instability of F...

We study nuclear e ects of charged current deep inelastic neutrino-iron scattering in the framework of a χ analysis of parton distribution functions (PDFs). We extract a set of iron PDFs which are used to compute xBj-dependent and Q -dependent nuclear correction factors for iron structure functions which are required in global analyses of free nucleon PDFs. We compare our results with nuclear c...

Regularized Heaviside and Dirac delta function are used in several fields of computational physics and mechanics. Hence the issue of the quadrature of integrals of discontinuous and singular functions arises. In order to avoid ad-hoc quadrature procedures, regularization of the discontinuous and the singular fields is often carried out. In particular, weight functions of the signed distance wit...

• An improved level-set model is proposed for honing groove feature segmentation. The Heaviside function approximated using a piecewise linear function. A 30% accuracy improvement over the best-tested algorithms has been observed. folder metal characterization case study validates algorithm’s performance. Honing features of cylinder liner surface contain helpful information on Traditional evalu...

We recently reported on a method for measuring orbital angular momentum (OAM) states of light based on the transformation of helically phased beams to tilted plane waves [Phys. Rev. Lett.105, 153601 (2010)]. Here we consider the performance of such a system for superpositions of OAM states by measuring the modal content of noninteger OAM states and beams produced by a Heaviside phase plate.

In this paper, we obtain the distribution functions of the range and the quasi-range of the random variables arising from the extended type I generalized logistic distribution.

This paper proposes a subtractive geometry projection topology optimization approach to simulate the multi-axis machining process and remove material from initial design domain. Each geometric primitive is described by plane extrusion operation based on 2D closed cubic spline curve controlled boundary points. The reference for 3D can freely rotate translate in space optimization. then projected...

It is known that some predator-prey system can possess a unique limit cycle which is globally asymptotically stable. For a prototypical predator-prey system, we show that the solution curve of the limit cycle exhibits temporal patterns of a relaxation oscillator, or a Heaviside function, when certain parameter is small. MSC 2000: 34C26, 34C15, 34C07, 92D25