CONSTRUCTION OF EFFECTIVE ELECTROMAGNETIC CURRENTS FOR TWO BODY QUASIPOTENTIAL EQUATIONS Dmitri Krioukov Old Dominion University Director Dr J W Van Orden A systematic algebraic approach for the construction of e ective electro magnetic currents consistent with relativistic two body quasipotential equa tions is presented This approach generalizes the Mandelstam formalism and applies it to a gen...

Linear constraint solving in constraint logic programming requires in cremental checks of the satis ability of a system of equations and inequali ties Experience has shown that Gauss Jordan elimination and the simplex method are e cient enough to be of practical value in the implementation of CLP languages based on linear arithmetic constraints However these algorithms must be modi ed to accomm...

Equa,tions governing the current system in the upper layers of oceans and lakes were derived by Craik & Leibovich (1976). These incorporate the dominant effects of both wind a,nd waves. Solutions comprising the mean wind-driven current and a system of ' Langmuir ' cells aligned parallel to the wind were found for cases in which the wave field consisted of just a pair of plane waves. However, it...

We present a comprehensive methodology for realistically animating liquid phenomena Physically accurate D mo tion is achieved by performing a two stage calculation over an arbitrary environment of static obstacles surrounded by uid A nite di erence approximation to the Navier Stokes equations is rst applied to a low resolution vox elized representation of the scene The resulting velocity and pr...

We study master equations of the form $(\partial_t+L)^su=f {in}~\mathbb{R}\times\Omega,$ where $L$ is a divergence elliptic operator and $\Omega\subseteq\mathbb{R}^n$. These are nonlocal equa...

A discussion of three topics in the eld of non linear optics is presented We begin with the Colliding Pulse Mode locked CPM Quantum Well QW laser A large signal model consisting of a wave propagation equation for the electrical eld and a rate equation model for the material response is derived The wave propagation equation of the electrical eld is derived from Maxwell s equations in the slowly ...

A method is described lor implementing any system by a network of processes so it continues to function properly despite the failure or malfunction of individual processes and communication arcs; where "malfunction" means doing something incorrectly, and "failure" means doing nothing. The system is defined in terms of a sequential "user ma chine", and a precise correctness condition for the Imp...

The recently detected inertial effect on the behaviour of the fluorescence anisotropy r = \ j /J — \ as a function of the viscosity rj of a solvent for prolate luminescent molecule, the transition moment of which lies along its longer axis (see [1,2] and refs. quoted there), was explained using the non-Markovian generalized d i f fus ion equat ion [1], The a im of the present note is to extend ...

1. Introduction Piecewise linear algorithms, also referred to in the literature as sim-plicial algorithms, can be used to generate piecewise linear manifolds which approximate the solutions of underdetermined systems of equa