– We examine the proposal that a model of the large-scale matter distribution consisting of randomly placed haloes with power-law profile, as opposed to a fractal model, can account for the observed power-law galaxy-galaxy correlations. We conclude that such model, which can actually be considered as a degenerate multifractal model, is not realistic but suggests a new picture of multifractal mo...

Aggregation always occurs in industrial processes with fractal-like particles, especially dense systems (the volume fraction, ϕ>1%). However, the classic aggregation theory, established by Smoluchowski 1917, cannot sufficiently simulate particle dynamics systems, particularly those of generat ed particles. In this article, Langevin dynamic was applied to study collision rate aggregations as ...

We study in this paper the phase transition in a mobile Potts model by the use of Monte Carlo simulation. The mobile Potts model is related to a diluted Potts model, which is also studied here by a mean-field approximation. We consider a lattice where each site is either vacant or occupied by a q-state Potts spin. The Potts spin can move from one site to a nearby vacant site. In order to study ...

A new method for calculating fractal dimension is developed in this paper. The method is based on the box dimension concept; however, it involves direct estimation of a suboptimal covering of the data set of interest. By finding a suboptimal cover, this method is better able to estimate the required number of covering elements for a given cover size than is the standard box counting algorithm. ...

In a recent paper the authors hypothesized that the so called fractal-like enzyme kinetics of intracellular reactions may explain the preconditioning effect in biology (Vasilescu C, Olteanu M, Flondor P, Revue Roumaine de Chimie. 2011; 56(7): 751-7). Inside cells the reaction kinetics is very well described by fractal-like kinetics. In the present work some clinical implications of this model a...

A theory of resource-bounded dimension is developed using gales, which are natural generalizations of martingales. When the resource bound ∆ (a parameter of the theory) is unrestricted, the resulting dimension is precisely the classical Hausdorff dimension (sometimes called “fractal dimension”). Other choices of the parameter ∆ yield internal dimension theories in E, E2, ESPACE, and other compl...

conclusions these results showed the preventive effect of hydroethanolic extract of n. sativa on tracheal responsiveness of guinea pig model of copd, which was as effective as vitamin c. results the tracheal responsiveness to both methacholine and ovalbumin in guinea pigs with copd were significantly higher than those of controls (p < 0.001 for both cases). the tracheal responsiveness in the co...

‎Let $G$ be a finite group‎. ‎We say that the derived covering number of $G$ is finite if and only if there exists a positive integer $n$ such that $C^n=G'$ for all non-central conjugacy classes $C$ of $G$‎. ‎In this paper we characterize solvable groups $G$ in which the derived covering number is finite‎.‎