This paper investigates the approximation behaviour of the KH interpolative fuzzy controllers. First, in accordance with the remarks in [20], it is pointed out that it is a fuzzy generalization of the Shepard operator. Shepard operator has thoroughly studied by approximation theorist since the mid 70s. Exploiting the aforementioned relationship, we establish analog results on the approximation ...

Here is a basic question: What is the (local) thermalization time for quarkgluon plasmas (QGPs) in heavy ion collisions? That’s a difficult question, so let’s ask a simpler one: What is it for arbitrarily high energy collisions, where the running coupling constant is small, αs ≪ 1? Even that turns out to be complicated, so let me focus on an even simpler version, first posed by Baier, Mueller, ...

Random sequential adsorption is an irreversible surface deposition of extended objects. In systems with continuous degrees of freedom coverage follows a power law, θ(t) ≈ θJ−c t , where the exponent α depends on the geometric shape (symmetry) of the objects. Lattice models give typically exponential saturation to jamming coverage. We discuss how such function θ(t) can be computed by series expa...

Analytic solution for the average path length in a large class of uncorrelated random networks with hidden variables is found. We apply the approach to classical random graphs of Erdös and Rényi (ER), evolving networks introduced by Barabási and Albert as well as random networks with asymptotic scale-free connectivity distributions characterized by an arbitrary scaling exponent α > 2. Our resul...

We studied the mutual information between a stimulus and a system consisting of stochastic, statistically independent elements that respond to a stimulus. Using statistical mechanical methods the properties of the mutual information (MI) in the limit of a large system size N are calculated. For continuous valued stimuli, the MI increases logarithmically with N and is related to the log of the F...

The typical transverse momentum Q s ( t ) (or "saturation" momentum) acquired by a hard particle propagating through N = 4 SYM plasma increases over time like γ , with an anomalous exponent > 1/2 characteristic of super-diffusion. This is function the ’t Hooft coupling λ g 2 c . Recently, method has been proposed to systematically compute perturbative series at weak coupling. relies on trave...

The complex conductivity method is frequently used in hydro-/petro-/environmental geophysics, and considered to be a promising tool for characterizing quantifying the properties of subsurface rocks, sediments soils. We report study on characteristics porous media containing gas hydrates through numerical modelling. effects hydrate saturation, pore-water salinity micro-distribution mode were stu...

Indentation is a new method for estimating residual stress. The plastic behavior of the materials under study can affect indentation parameters and, thus, influences the results of residual stress measurement. In this paper, the effect of yield stress and work-hardening exponent on the accuracy of residual stress measurements in steels and aluminums was studied. Results showed that, for m...

The Fibonacci lengths of the finite p-groups have been studied by R. Dikici and co-authors since 1992. All of the considered groups are of exponent p, and the lengths depend on the celebrated Wall number k(p). The study of p-groups of nilpotency class 3 and exponent p has been done in 2004 by R. Dikici as well. In this paper we study all of the p-groups of nilpotency class 3 and exponent p2. Th...

– The second hyperpolarizability γN(−3ω;ω,ω, ω) of N double-bond finite chain of trans-polyacetylene is analyzed using the Su-Schrieffer-Heeger model to explain qualitative features of the size-dependence behavior of γN . Our study shows that γN/N is nonmonotonic with N and that the nonmonotonicity is caused by the dominant contribution of the intraband transition to γN in polyenes. Several imp...