An integral representation is found for hypergeometric coherent states. It contains a generalized function. asymptotic expansion of states near z=1 constructed. This used to find eigenfunctions the Hamiltonian hydrogen atom in magnetic field lower boundaries spectral clusters.

near-fault ground motions have caused very much damage in the vicinity of seismic sources during recent earthquakes. it is well known that under specific circumstances, intensive ground shakings near fault ruptures may be characterized by short-duration impulsive motions. this pulse-type motion is generally particular to the forward direction, where the fault rupture propagates towards the site...

This thesis investigates broadband adaptive beamforming for signal targets located in the near field of an array. The primary application of this research is hands-free sound pickup and speech enhancement for wideband telephony. The technical challenges are three-fold. Broadband beamformers are difficult to design due to large frequency dependent beampattern variations and reduced performances ...

In 1991, Wei introduced generalized minimum Hamming weights for linear codes and showed their monotonicity and duality. Recently, several authors extended these results to the case of generalized minimum poset weights by using different methods. Here, we would like to prove the duality by using matroid theory. This gives yet another and very simple proof of it. In particular, our argument will ...

Near-critical thermodynamics in the hard-sphere (1, 1) electrolyte is well described, at a classical level, by Debye-Hückel (DH) theory with s1, 2d ion pairing and dipolar-pair-ionic-fluid coupling. But DH-based theories do not address density fluctuations. Here density correlations are obtained by functional differentiation of DH theory generalized to nonuniform densities of various species. T...

From molecular dynamics simulations on immiscible flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping is proportional to the sum of tangential viscous stress and the uncompensated Young stress. The latter arises from the deviation of the fluid-fluid interface from its static co...

Given a complete undirected graph with the nodes partitioned into m node sets called clusters, the Generalized Minimum Spanning Tree problem denoted by GMST is to find a minimum-cost tree which includes exactly one node from each cluster. It is known that the GMST problem is NP-hard and even finding a near optimal solution is NP-hard. We give an approximation algorithm for the Generalized Minim...

Recently, Savadjiev et al. introduced a generalized helicoid as an osculating object to characterize near parallel 3D curve patterns. This new model allows for patterns of different kinds to be examined and generated via three curvature parameters. The parameterization can be efficiently used to model hair strands. We present an investigation of the usability of the generalized helicoid model f...