We study a single particle which obeys non-relativistic quantum mechanics in R and has Hamiltonian H = −∆ + V (r), where V (r) = sgn(q)r. If N ≥ 2, then q > −2, and if N = 1, then q > −1. The discrete eigenvalues Enl may be represented exactly by the semiclassical expression Enl(q) = minr>0{Pnl(q) /r + V (r)}. The case q = 0 corresponds to V (r) = ln(r). By writing one power as a smooth transfo...

In this paper, first, the meso-debonding process of a GAP/CL20/AP composite solid propellant under uniaxial tension was analyzed using advantages material point method (MPM) and finite element (FEM) for first time; then, numerical simulation results were compared with experiments. Based on basic principle modeling method, grains different sizes generated quickly efficiently. Next, dispersed int...

• The tissue-clearance technique as a measure of effective blood flow through a tissue is obviously indirect, and the interpretation of results is necessarily based on the validity of several assumptions. One assumption is that injection into a "muscle" labels the fluid in a single uniform tissue, i.e., no connective tissue is involved. A second assumption is that clearance rate is relatively i...

It is a well known theorem that an abelian group G satisfying G = nG for every positive integer n is a direct summand of every abelian group H which contains G as a subgroup. It is the object of this note to generalize this theorem to abelian groups admitting a ring of operators, and to show that the corresponding conditions are not only sufficient but are at the same time necessary. Finally we...

Whileas the Kohonen Self Organizing Map shows an asymptotic level density following a power law with a magnification exponent 2/3, it would be desired to have an exponent 1 in order to provide optimal mapping in the sense of information theory. In this paper, we study analytically and numerically the magnification behaviour of the Elastic Net algorithm as a model for self-organizing feature map...

Introduction: Non-steroidal anti-inflammatory drugs (NSAID) are among the most widely prescribed drugs worldwide. However, there have been theoretical concerns about the effect of NSAIDs on bone metabolism and healing. These concerns have resurfaced with the recent discover of the Cyclooxygenase-2 (COX-2) isoform which is involved in inflammation and the development of COX-2 specific drugs. The...

This work presents a similarity (and a derived dissimilarity) measure for Description Logics that are the theoretical counterpart of the standard representations for ontological knowledge. The focus is on the definition of a similarity measure for ALN concept descriptions, based both on the syntax and on the semantics of the descriptions elicited from the current state of the world. An extensio...