Cellular automata (CA) have been increasingly applied to ecohydraulics modelling owing to its advantages in simulating local behaviours and spatial patterns. However, methods for evaluating CA model performance, mostly comparing with RS observations, have yet to be established. A conventional way is to compute the overall error between model outputs and observations. This aggregated approach wi...

Aerial gamma-ray spectrometric technique is used herein to evaluate the radioactive heat production (HP) of Ar-Rassafeh Badyieh Area (Area-2), Syria. The nine already established lithological scored units Area-2 have been separately characterized for HP parameter. Concentration-number (C-N) model and log-log plots associated with fractal are proposed applied as a new approach map measured equiv...

Diffusion towards a fractal adsorber is a well-researched problem with many applications. While the steady-state flux towards such adsorbers is known to be characterized by the fractal dimension (D{F}) of the surface, the more general problem of time-dependent adsorption kinetics of fractal surfaces remains poorly understood. In this Letter, we show that the time-dependent flux to fractal adsor...

Why does fractal image compression work? What properties must an image have for fractal block coders to work well? What is the implicit image model underlying fractal image compression? The behavior of fractal block coders is clear for deterministically self-similar structures. In this paper we examine the behavior of these coders on statistically self-similar structures. Speci cally, we examin...

in this work, sio2 –zro2 mixed oxides was prepared by the polymeric sol–gel route. the characterization of pore structure, which determines the permeation process of membrane, is of great importance. so far, most investigations have focused on such pore structure as specific surface area and pore size distribution, but the surface fractal, the important parameter reflecting the roughness of por...

Compelling evidence exists to show that the structure of molecular clouds is fractal in nature. In this poster, the author reiterates that view and, in addition, asserts that not only is cloud geometry fractal, but that they also have a common characteristic they are similar in shape to the Horsehead in Orion. This shape can be described by the Julia function f(z) = z + c,where both z and c are...

Nienhuis’ truncated O(n) model gives rise to a model of self-avoiding loops on the hexagonal lattice, each loop having a fugacity of n. We study such loops subjected to a particular kind of staggered field w, which for n → ∞ has the geometrical effect of breaking the three-phase coexistence, linked to the three-colourability of the lattice faces. We show that at T = 0, for w > 1 the model flows...

We use the fractional integrals to describe fractal solid. We suggest to consider the fractal solid as special (fractional) continuous medium. We replace the fractal solid with fractal mass dimension by some continuous model that is described by fractional integrals. The fractional integrals are considered as approximation of the integrals on fractals. We derive fractional generalization of the...

21 A theoretical effective thermal conductivity model is derived based on fractal 22 distribution characteristics of nanoparticle aggregation. Considering two different 23 mechanisms of heat conduction including particle aggregation and convention, the 24 model is expressed as a function of the fractal dimension and concentration. In the 25 model, the change of fractal dimension is related to t...

Toshiro Kubota University of South Carolina Department of Computer Science Intelligent Systems Laboratory Columbia, South Carolina 29208 Abstract. Texture measures offer a means of detecting targets in background clutter that has similar spectral characteristics. Our previous studies demonstrated that the ‘‘fractal signature’’ (a feature set based on the fractal surface area function) is very a...