In this paper I discuss the deep impact of Immanuel Wallerstein’s work on vibrant field world and global history. focus questions scale, ambition, convergence divergence. conclude with some epistemological reflections challenges limits a world-historical perspective.

This study describes and explains the paradox of related languages in contact that show signs of both linguistic divergence and convergence. Seventeen distinct languages are spoken in the northernmost islands of Vanuatu. These closely related Oceanic languages have evolved from an earlier dialect network, by progressive diversification. Innovations affecting word forms – mostly sound change and...

We discuss the parameter estimation of probability default (PD), correlation between obligors, and a phase transition. In our previous work, we studied problem using beta-binomial distribution. A non-equilibrium transition with an order occurs when temporal decays by power law. this study, adopt Merton model, which uses asset as correlation, find that When index is less than one, PD estimator c...

 The concept of statistical convergence in $2$-normed spaces for double sequence was introduced in [S. Sarabadan and S. Talebi, {it Statistical convergence of double sequences  in $2$-normed spaces }, Int. J. Contemp. Math. Sci. 6 (2011) 373--380]. In the first, we introduce concept strongly statistical convergence in $2$-normed spaces and generalize some results. Moreover,  we define the conce...

In this paper, we define a kind of lattice-valued convergence spaces based on the notion of $top$-filters, namely $top$-convergence spaces, and show the category of $top$-convergence spaces is Cartesian-closed. Further, in the lattice valued context of a complete $MV$-algebra, a close relation between the category of$top$-convergence spaces and that of strong $L$-topological spaces is establish...

lorentz characterized the almost convergence through the concept of uniform convergence of de lavallée-poussin mean. in this paper, we generalize the notion of almost convergence by using the concept ofinvariant mean and the generalized de la vallée-poussin mean. we determine the bounded linear operators forthe generalized σ-conservative, σ-regular and σ-coercive matrices.

confirmation of convergence hypothesis among provinces, its role in removing divergence among regions and achieving regional convergence is one of the important issues in macroeconomics. the aim of the present study is to examine absolute and conditional income convergence hypotheses among iranian provinces during the period 2000-2010 using panel data. the hypotheses are tested for the whole pr...

In the structural health monitoring of composite materials, in order to solve ill-posed problem impact force reconstruction, regularization techniques are often used deal with it. Due poor convergence traditional Tikhonov method, accurately reconstruct time history force, this paper improves method and constructs homotopy function strong convergence. Since optimal parameters need be found funct...

We consider the problem of minimizing a smooth convex objective function subject to the set of minima of another differentiable convex function. In order to solve this problem, we propose an algorithm which combines the gradient method with a penalization technique. Moreover, we insert in our algorithm an inertial term, which is able to take advantage of the history of the iterates. We show wea...