– Strong dynamical scaling violations exist in quenched two-dimensional systems with vector O(3) order parameters. These systems support non-singular topologically stable configurations (skyrmions). By tuning the stability of isolated skyrmions to expand or shrink, we find dramatic differences in the dynamical multiscaling spectrum of decaying moments 〈|ρ|〉 of the topological charge density dis...

In this paper, we deene the notion of !-consistency and !-graph associated with general n-ary constraint satisfaction problems and present an alternative suu-cient condition for backtrack-free search; that is, if the hypergraph associated with a general CSP has a tree-structured !-graph, then enforcing !-consistency enables the CSP to be solved by search without backtracking. We then show that ...

We introduce and analyze a natural geometric version of Renegar’s condition number R, which we call Grassmann condition number, for the homogeneous convex feasibility problem associated with a regular cone C ⊆ R. Let Grn,m denote the Grassmann manifold of m-dimensional linear subspaces of R with the Riemannian distance metric dg. The set of ill-posed instances Σm ⊂ Grn,m consists of the linear ...

the purpose of this study was to study the matching of the competitiveness trait and kind of training condition when learning a sport skill (basketball free throw). 60 male university students (age 21.76±1.5 years) participated in this study and were divided into two homogeneous groups based on their pretest scores. as a result, four training groups were used in this study. sport orientation qu...

Consider the parabolic free boundary problem ∆u− ∂tu = 0 in {u > 0} , |∇u| = 1 on ∂{u > 0} . For a realistic class of solutions, containing for example all limits of the singular perturbation problem ∆uε − ∂tuε = βε(uε) as ε → 0, we prove that one-sided flatness of the free boundary implies regularity. In particular, we show that the topological free boundary ∂{u > 0} can be decomposed into an ...

1,2-Diketones have been reacted in one-pot method with 1,2-diamines at room temperature with ZnO nanoparticles as a catalyst. ZnO nanoparticles as an available and reusable catalyst is used for the synthesis of Quinoxalinein improved yields.

A simple, fast, efficient and environmentally friendly method for synthesis of benzimidazole and its 2-alkyl, aryl and heteroaryl substituted derivatives was developed using zeolite HY. Two component cyclolcondensation of 1,2-phenylenediamine (o-phenylenediamine) and commercially available carboxylic acids catalyzed by zeolite HY without any solvent, under microwave irradiation led to formation...