in this study, an artificial neural network was developed in order to analyze flexible pavement structure anddetermine its critical responses under the influence of standard axle loading. in doing so, more than 10000four-layered flexible pavement sections composed of asphalt concrete layer, base layer, subbase layer, andsubgrade soil were analyzed under the impact of standard axle loading. pave...

We present a short summary of CAGD tools of main interest in isogeometric analysis, namely Bernstein polynomials and B-splines. Besides their well-known algebraic and geometric properties, we provide a deeper insight why these representations are so popular and efficient by proving that they are optimal bases for the corresponding function spaces. Moreover, we review some generalizations of the...

In this paper, on a non-standard extension (∗X ,∗d) of a metric space (X ,d), we construct a chain of new non-standard topologies in terms of convex subrings of ∗R, its minimal element is the Stopology and its maximal is the Q-topology. Next, we construct X̂ , the F -asymptotic hull of X , and we prove that such space is metrizable and complete when F is generated by an asymptotic scale. Finally...

This note describes the research agenda my co-authors and I have developed over the past 15 years, and explains how our papers fit into that agenda. The intended audience is academic researchers, but I would like the note to be accessible to non-academic readers as well, so I’ve tried to avoid using too much technical jargon (although there is still some). I welcome your comments. If you find t...

Serious roadblocks have been encountered in several areas of computer application, for example in the solution of intractable (NP-complete) combinatorial problems, or in the simulation of fluid flow. In this talk we will explore two alternatives to the usual kinds of computers, and ask if they provide some hope of ultimately by-passing what appear to be essential difficulties. Analog computatio...