We study a one-dimensional singular potential plus three types of regular interactions: constant electric field, harmonic oscillator and infinite square well. We use the Lippman-Schwinger Green function technique in order to search for the bound state energies. In the electric field case the unique bound state coincides with that found in an earlier study as the field is switched off. For non-z...

A Master equation approach to the stochastic neurodynamics proposed by Cowan[ in Advances in Neural Information Processing Systems 3, edited by R.P. Lippman, J.E. Moody, and D.S. Touretzky (Morgan Kaufmann, San Mateo, 1991), p.62] is investigated in this paper. We deal with a model neural network which is composed of two-state neurons obeying elementary stochastic transition rates. We show that...

Y. Balcer and S. A. Lippman (1984, J. Econ. Theory 34, 292 318) develop a model to analyze the ``buy or wait'' problem under technological change. They show that this dynamic problem has a threshold solution: if the difference between the best available technology and that currently held exceeds a certain threshold, then buy. They also claim that the threshold is increasing in the ``discovery p...

The importance of classification of aerosols according to diametric size is well known. In fact it is possible to find a series of differential devices working on this principle ('Cascade Impactors' of May, Orr, Lippman, 'Eolic Classificator' of Zurlo, 'Centripeter Impactor' of Hounam and Sherwood, etc.). The big interest in this field has led us to devise a four-stage aerosol differential samp...

Oral squamous cell carcinomas (OSCCs), the most common cancer of the head and neck, accounts for over 300,000 new cancer cases worldwide annually (Lippman et al., 2005). If detected at an early stage, survival from oral cancer exceeds 90% at 5 year, whereas the survival with a diagnosis of late-stage disease is only 30%. The most important prognosticator of survival in OSCC is the presence of r...

The objective of this project is to develop tools that assist a user in the constructrion of threedimensional spaces for interesting events. Both spatial and temporal information are used by incorporating different forms of media such as photographs, film, and video. The system enables the user to use different algorithms in different parts of the space in an attempt to use the most lucrative m...

We describe a fast real-analysis based O(N) algorithm based on multiresolution analysis and low separation rank approximation of functions and operators for solving the Schrödinger and Lippman-Schwinger equations in 3-D with spin-orbit potential to high precision for bound states. Each of the operators and wavefunctions has its own structure of refinement to achieve and guarantee the desired fi...