The Newton-Sabatier method for solving inverse scattering problem with fixed-energy phase shifts for a sperically symmetric potential is discussed. It is shown that this method is fundamentally wrong in the sense that its foundations are wrong: in general it cannot be carried through because its basic integral equation may be not solvable for some r > 0 and in this case the method breaks down; ...

This paper surveys the recent developments in the area of equalization of the wireless propagation channels. It focuses on a subclass of equalization algorithms that minimizes the Mean Square Error (MMSE) between the desired and estimated signal. The following aspects of the equalization problem are considered: system modeling, algorithm classification based on the availability of training sequ...

Using our semi-linear inversion method, we measure the mass profile of the lens galaxy in the Einstein ring system 0047−2808. The lens is modelled as a baryonic component following the observed light, embedded in a dark matter generalised NFW halo. The semi-linear method makes full use of the information content in the ring image. We determine an unevolved B-band mass to light ratio for the bar...

Acoustic-to-articulatory maps based on articulatory models have typically been evaluated in terms of acoustic accuracy, that is, the distance between mapped and observed acoustic parameters. In this paper we present a method that would allow for the evaluation of such maps in the articulatory domain. The proposed method estimates the parameters of Maeda’s articulatory model on the basis of elec...

O(α) QED radiative corrections to polarized neutral current leptoproduction of heavy quark flavours are calculated in the leading log approximation for HERMES, COMPASS, and HERA kinematics. Besides the inclusive case, we derive general zh-differential formulae for the polarized boson gluon fusion process and use them to calculate radiative corrections to semi-inclusive polarized heavy flavour p...

Inverse scattering series is the only nonlinear, direct inversion method for the multidimensional, acoustic or elastic equation. Recently developed techniques for inverse problems based on the inverse scattering series [Weglein et al., Geophys., 62 (1997), pp. 1975–1989; Top. Rev. Inverse Problems, 19 (2003), pp. R27–R83] were shown to require two mappings, one associating nonperturbative descr...

The radial component of the peculiar velocities of galaxies cause displacements in their positions in redshift space. We study the effect of the peculiar velocities on the linear redshift space two point correlation function. Our analysis takes into account the radial nature of the redshift space distortions and it highlights the limitations of the plane parallel approximation. We consider the ...

In this paper, a new inversion scheme for surface-wave velocities in a slightly anisotropic medium will be presented, revisiting the inversion method performed by Corchete and Badal (2004). Tecnociencia 6(2), 23–41). An extension of the Smith–Dahlen formulation will be examined and revised. The surfacewave propagation in a slightly anisotropic medium will be considered, and the inversion of the...

New-generation electromagnetic (EM) and sonic logging tools are capable of measuring multi-frequency multi-component data at multiple depths of investigation. This allows us to image the formation around the borehole by using an inversion method. A method is developed for directly obtaining porosity and fluid saturation distributions by simultaneously inverting borehole EM and sonic measurement...

A new method for the reconstruction of the projected mass distribution of clusters of galaxies from the image distortion of background galaxies is discussed. This method is essentially equivalent to the one we developed previously, i.e., the noise-filtering method, but has several practical advantages: (1) It is much easier to implement; (2) it can be easily applied to widefield images, since t...