Starting from an asymptotic representation of the velocity potential at infinite distances, the radiation problem of water waves due to a line source in presence of a bottom having step deformation is studied. Relations connecting amplitudes of radiated waves at infinite distances are worked out using Green’s second identity. The general asymptotic forms of the potential form at infinite distan...

In the present paper, the solution of a singular integral equation with logarithmic kernel in two disjoint intervals (0, a)4(b, ∞), (a, b are finite) is obtained by using function theoretic method. The two cases are considered when the unknown function satisfying the integral equation is unbounded or bounded at both nonzero finite end points of the interval. In the latter case, two solvability ...

We present a language-independent approach for product line initiation and evolution. Our approach is based on a decomposition of a product line into packages. These packages constitute the build time variation points of the product line. They can be configured, selected, combined, and extended in order to yield tailormade products for individual customers. In order to reduce initial investment...

We develop three parametric models for electroencephalography (EEG) to estimate current sources that are spatially distributed on a line. We assume a realistic head model and solve the EEG forward problem using the boundary element method. We present the models with increasing degrees of freedom, provide the forward solutions, and derive the maximum likelihood estimates as well as Cramér-Rao bo...

The combined effect of mean and thermal particle motion on Doppler line shape is evaluated. Optical radiation transverse to the axis of a source flow with semi-angle theta(e) is considered in the limit theta(2)(e) <<1. Expressions for gain and anomalous index of refraction are deduced in terms of radiation frequency and a parameter X(e) which characterizes the ratio of mean to thermal motion in...