Based on his earlier work on the vibrations of 'drums with fractal boundary', the first author has refined M. V. Berry's conjecture that extended from the 'smooth' to the 'fractal' case H. Weyl's conjecture for the asymptotics of the eigenvalues of the Laplacian on a bounded open subset of W (see [16]). We solve here in the one-dimensional case (that is, when n = 1) this 'modified Weyl-Berry co...

This paper presents a mathematical model for transient flow of the non-Newtonian power-law fluid in double porous media and fractal reservoir. By using Douglas-Jones predictor-corrector method, we obtain the solution for the constant rate condition at a single well in an infinite reservoir. The flow behavior is also analyzed. Finally, we discuss the pressure response to the various parameters. ...

We present measurements of the fractal dimensions associated to the spin clusters for Z 4 and Z 5 spin models. We also attempted to measure similar fractal dimensions for the generalised Fortuin Kastelyn (FK) clusters in these models but we discovered that these clusters do not percolate at the critical point of the model under consideration. These results clearly mark a difference in the behav...

many studies suggested that fractals could be brought in any structural anarchy, such as cancers, for diagnosis and prognosis evaluation by quantifying it and expressing it in terms of fractal geometry. in this study, we aimed to evaluate pathologic grades or breast carcinomas by fractal analysis. this cross-sectional study was performed on 60 women with breast ductal carcinoma. from all the pa...

Fractal analysis has been applied in many fields since it was proposed by Mandelbrot in 1967. Fractal dimension is a basic parameter of fractal analysis. According to the difference of fractal dimensions for images, natural landscapes and urbanscapes could be differentiated, which is of great significance. In this paper, two methods were used for two types of landscape images to discuss the dif...

In order to describe the phenomenon of intermittency in wall turbulence and, more particularly, the behaviour of moments p r V δ and p r ε and intermittency exponents ζP with the order p and distance to the wall, we developed a new geometrical framework called “entropic-skins geometry” based on the notion of scale-entropy which is here applied to an experimental database of boundary layer flows...

Identification of the vertical and horizontal distributions for elemental grades is of an important sign in different mineral exploration stages. The main aim of this work is to determine the vertical distribution directional properties of Cu values in the Milloieh Cu porphyry deposit, Kerman (SE Iran) using the power-law frequency fractal model. This work is carried out based on four mineraliz...

KD har i en nylig proposisjon foreslått endringer av klagesensurordningen, hvor det legges opp til at en modell med blind omsensur, som allerede har vært brukt ved en del læresteder, nå skal gjøres obligatorisk for alle læresteder. I denne artikkelen sammenlignes gammel og ny klagesensurordning med ordningene i en del andre land. Vi diskuterer ulike typer sensurfeil (med eksempel fra programmer...

A general ized model of rough sets called variable precision model (VP-model), a imed at modell ing classification problems involving uncertain or imprecise information, is presented. The general ized model inherits all basic mathematical propert ies of the original model introduced by Pawlak. The main concepts are introduced formally and illustrated with simple examples. The application of the...

The object of the model ProFarm is the identification of the excellent production scheme in plant production in consideration of local characteristics. First the contribution margin accounting will be calculated based on an estimation of the yield potential. Finally the economically excellent production scheme will be determined on the base of the contribution margin.