This research project is about reengineering object-oriented applications. Reengineering such applications inherits complex problems related to software maintenance, i.e., program understanding, program analysis, and program transformation and adds to them (1) the complexity introduced by late binding, dynamic typing, and incremental definition specific to object-oriented programming, and (2) t...

This paper concerns numerical simulations of time-dependent problems in computational solid mechanics. A perturbation method, with the time as parameter, is proposed to solve two classical problems: an elastic bar excited by end force and dynamic buckling a cylindrical panel. Specific quadratic recast equations nonlinear problems. Numerical results show that asymptotic expansions robust, effici...

We derive explicit inversion formulae for the attenuated geodesic and horocyclic ray transforms of functions and vector fields on two-dimensional manifolds equipped with the hyperbolic metric. The inversion formulae are based on a suitable complexification of the associated vector fields so as to recast the reconstruction as a Riemann Hilbert problem. The inversion formulae have a very similar ...

We study the leaf-to-leaf distances on one-dimensionally ordered, full and complete m-ary tree graphs using a recursive approach. In our formulation, unlike in traditional graph theory approaches, leaves are ordered along a line emulating a one-dimensional lattice. We find explicit analytical formulas for the sum of all paths for arbitrary leaf separation r as well as the average distances and ...

In this paper we study M-theory compactifications on seven-dimensional manifolds with SU(3) structure. As such manifolds naturally pick up a specific direction and the resulting effective theory can be recast into a form which is very similar to type IIA compactifications to four dimensions. We derive the gravitino mass matrix in four dimensions and show that for different internal manifolds (t...

A numerical method for the calculation of Bessel function integrals is proposed for trial functions with exponential type behavior and evaluated for functions with and without explicit exponential dependence. This method utilizes the integral representation of the Bessel function to recast the problem as a double integral; one of which is calculated with Gauss-Chebyshev quadrature while the oth...

In this we paper we recast the Cox–Ingersoll–Ross model of interest rates into the chaotic representation recently introduced by Hughston and Rafailidis. Beginning with the “squared Gaussian representation” of the CIR model, we find a simple expression for the fundamental random variable X∞. By use of techniques from the theory of infinite dimensional Gaussian integration, we derive an explicit...

This study investigated specific patterns of a reactive approach to form-focused instruction: namely, corrective feedback and its relationship to error types and immediate learner repair. The database is drawn from transcripts of audio recordings made in four French immersion classrooms at the elementary level, totaling 18.3 hours and including 921 error sequences. The 921 learner errors were c...