We present an accurate method to compute the minimum distance between a point and an elliptical torus, which is called the orthogonal projection problem. The basic idea is to transform a geometric problem into finding the unique real solution of a quartic equation, which is fit for orthogonal projection of a point onto the elliptical torus. Firstly, we discuss the corresponding orthogonal proje...

We present the first optical observations of the radio source 4C +08.45. It is identified with an elliptical galaxy (R = 15.92) at redshift z= 0.1250, with a comparable companion galaxy (R = 15.36; z= 0.1257) at a projected distance of 34.8 kpc. Both galaxies are normal elliptical galaxies. The galaxy identified with the radio source shows strong emission lines on top of an elliptical galaxy sp...

Design of thinned elliptical antenna arrays of uniformly excited isotropic antennas using particle swarm optimization (PSO), is reported. Thinned arrays can generate directive beam with minimum side lobe level (SLL) without degrading the performance of fully populated antenna arrays significantly. Thinning of elliptical antenna arrays using PSO are optimized with different values of eccentricit...

With the introduction of antenna array systems into wireless communication networks comes the need to better understand the spatial characteristics of the channel. Scattering models provide both angle of arrival (AOA) and time of arrival (TOA) statistics of the channel. A number of different scattering models have been proposed in the literature including elliptical and circular models. These m...

Elongated dust grains exist in astrophysical plasmas. Anisotropic growth of elliptical dust grains, via plasma deposition, occurs if the deposited ions are non-inertial. In reality the extent of such growth depends upon the initial kinetic energy of the ions and the magnitude of the electric field in the sheath. Simulations of the dynamics of the ions in the sheath are reported, showing how ell...

We report the existence of a single plane in the space of global photometric parameters describing elliptical galaxies and the bulges of early type spiral galaxies. The three parameters which define the plane are obtained by fitting the Sersic form to the brightness distribution obtained from near-infrared K band images. We find, from the range covered by their shape parameters, that the ellipt...

In this paper we describe the application of pattern recognition techniques to the astronomical problem of the automatic characterization of galaxies. The characterization problem is reduced to the study of the boundary of a region obtained from a seg-mentation process on the digital image. We show that there is enough information to characterize an elliptical or spiral galaxy from the informat...

Accurate statistical models for hyperspectral imaging (HSI) data distribution are useful for many applications. A family of elliptically contoured distribution (ECD) has been investigated to model the unimodal ground cover classes. In this paper we propose to test the elliptical symmetry of real unimodal HSI clutters which will answer the question whether the family of ECD will provide an appro...

This paper argues that elliptical VPs do not necessarily present cases of VP ellipsis. Certain relative clauses that contain elliptical VPs are analysed as instances of transitive verb phrase ellipsis. A storing account of ellipsis resolution is given. Resolution of TVP ellipsis is achieved by resolving a binary relation that derives from an antecedent TVP. This avoids the problem of antecedent...