A previous work dealing with bound states in a Coulomb potential is extended to the case of scattering states. The symmetry of the problem under the Lorentz group 0(1,3) is used to construct wave functions. Harmonic analysis on two-sheeted hyperboloids is briefly discussed in arbitrary dimension. The set of scattering states for both an attractive and a repulsive potential is shown to provide a...

We show  that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. Hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. As aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. This generalizes and simplifies a result of  Dung and   Smith. As another consequen...

A colony is meant to be a symbol manipulating system consisting of as simple as possible components which behave in a cooperative way such that the collective competence is stricty larger than the component competences. We introduce here colonies whose agents can only perform point mutation (hence the abbreviation PM) transformations of the common string (which represents the environment of the...

background: the appropriate colon cleansing is a major determinant of quality of colonoscopy. the aim of this study was to compare the efficacy and tolerability of the morning (am) peg (polyethylene glycol) solution to previous-evening (pm) peg solution for the afternoon colonoscopy. methods: this comparative study compared the am to pm prep for afternoon outpatient colonoscopy. the subjects ra...

In industries, Preventive Maintenance (PM) is not a new practice to minimise the sudden breakdown of production machine. PM will be performed at predetermine intervals to provide a balance between failure cost and component utilisation (aging). However, most of PM interval is based on experience or original equipment manufacturer (OEM) recommendations. Consequently, the benefits from PM are not...

Introduction: In most oscillators, the close-to-the-carrier amplitude modulation (AM) noise is usually lower than the phase modulation (PM) noise and does not pose serious problems. However, in highperformance systems where every decibel of PM noise is important, the AM noise cannot be neglected. Numerous applications consider AM noise effects on the overall performance of an oscillator or a sy...