Cluster distribution kinetics is adopted to explore the kinetics of polymer crystallization. Population balance equations based on crystal size distribution and concentration of amorphous polymer segments are solved numerically and the related dynamic moment equations are also solved. The model accounts for heterogeneous or homogeneous nucleation and crystal growth. Homogeneous nucleation rates...

Empirical evidence, obtained from nonparametric estimation of the income distribution, exhibits strong heterogeneity in most populations of interest. It is common, therefore, to suspect that the population is composed of several homogeneous subpopulations. Such an assumption leads us to consider mixed income distributions whose components feature the distributions of the incomes of a particular...

temper rolling or skin pass rolling is one of cold rolling processes composed of a horizontal pass cold rolling mill stand. in this process, the thick strip is subjected to very light reduction (0.5–4%) in thickness in the presence of high friction amplitudes. one of the basic parameters of strip rolling processes is temper rolling force. a new rolling force model has been proposed for temper r...

1 I n t r o d u c t i o n Progress in network technologies is making local and even global networks of computers (in particular, networks of PCs and workstations) more and more attractive for high-performance parallel computing. While developing applications for such networks it is necessary to take into account their heterogeneity being the main peculiarity of common networks differing them fr...

In this paper analysis of the concept of associated homogeneous distributions (generalized functions) is given, and some problems related to these distributions are solved. It is proved that (in the one-dimensional case) there exist only associated homogeneous distributions of order k = 1. Next, we introduce a definition of quasi associated homogeneous distributions and provide a mathematical d...

We begin with the extraordinary observation that the length distribution of 80 million proteins in UniProt, the Universal Protein Resource, measured in amino acids, is qualitatively identical to the length distribution of large collections of computer functions measured in programming language tokens, at all scales. That two such disparate discrete systems share important structural properties ...