Identity has remained a popular concept for many decades, being widely used in scientific research. This reflects not only the importance of phenomena standing behind this notion, but also wide and deep changes accompanying transition societies from industrial to post-industrial, late modern, post-modern, network or information society. Regardless disputes about nature new era, researchers agre...

presented here is a generalization of the implicit enumeration algorithm that can be applied when the objec-tive function is being maximized and can be rewritten as the difference of two non-decreasing functions. also developed is a computational algorithm, named linear speedup, to use whatever explicit linear constraints are present to speedup the search for a solution. the method is easy to u...

this paper investigates the effect of different methods of carbon nanotubes distribution in a thin matrix on static and dynamic behavior of the nanocomposite. five different symmetric patterns of distribution are considered, including four parabolic patterns and a linear one. for each pattern, the effective mechanical properties of the resultant nanocomposite are calculated using the rule of mi...

The aim of this paper is to study continuum models for surface diffusion taking into account free adatoms on the surface, which is of particular importance in the (self-assembled) growth of nanostructures. The extended model yields a coupled system of parabolic differential equations for the surface morphology and the adatom density, involving a cross-diffusion structure. We investigate two dif...

We show that it is possible, for every machine universal for Kolmogorov complexity, to enumerate the lexicographically least description of a length n string in O(n) attempts. In contrast to this positive result for strings, we find that, in any Kolmogorov numbering, no enumerator of nontrivial size can generate a list containing the minimal index of a given partial-computable function. One can...