abstract- the information on the spatial properties of soil is vital to improve soil management and to increase the crop productivity. geostatistical analysis technique is one of the most important methods for determining the spatial properties of soil. the aim of this study was to investigate spatial variability of soil chemical and physical attributes for field management in eastern shiraz, i...

Using a combination of laboratory experiments and computer simulation we show that microwaves reflected from and transmitted through soil have a fractal dimension correlated to that of the soil's hierarchic permittivity network. The mathematical model relating the ground-penetrating radar record to the mass fractal dimension of soil structure is also developed. The fractal signature of the scat...

The aim of this paper is to illustrate how we can use the ideas of the fractal geometry to describe some structural properties of myosin. The fractal dimension of the chain B backbone of myosin has been determined. It is 1.12 ± 0.012 for m<100. The spectral analysis was also used to determine the value for the spectral coefficient, –0.268 ± 0.04, and it reflects fractal aspects of the chain B o...

Fractal terrains provide an easy way to generate realistic landscapes. There are several methods to generate fractal terrains, but none of those algorithms allow the user much flexibility in controlling the shape or properties of the final outcome. A few methods to modify fractal terrains have been previously proposed, both algorithm-based as well as by hand editing, but none of these provide a...

In this paper we consider the topological aspects of sets defined by fractal geometry. Topology, as a geometry, is extended to the definition of fractal structures by characterising equivalences in different levels of detail. A group of distinct topological fractals are defined by taking the equipotence and multiplicity properties of sets. Additionally, we define fractal metamorphosis as the se...

Kolmogorov introduced a concept of ε-entropy to analyze information in classical continuous system. The fractal dimension of geometrical sets was introduced by Mandelbrot as a new criterion to analyze the complexity of these sets. The ε-entropy and the fractal dimension of a state in general quantum system were introduced by one of the present authors in order to characterize chaotic properties...

The structures of both cluster}cluster and particle}cluster fractal-like aggregates were investigated in the present study. Statistically signi"cant populations of numerically simulated aggregates having appropriate fractal properties and prescribed number of primary particles per aggregate were generated in order to characterize three-dimensional morphological properties of aggregates, such as...

We study the properties of spectrum and eigenstates of the Google matrix of a directed network formed by the procedure calls in the Linux Kernel. Our results obtained for various versions of the Linux Kernel show that the spectrum is characterized by the fractal Weyl law established recently for systems of quantum chaotic scattering and the Perron-Frobenius operators of dynamical maps. The frac...

A multiband double square loop antenna with fractal concept is proposed. The design is based on an initial model of fractal geometry and a double square slot antenna structure. The initial model of fractal geometry influences to the second frequency band and it will be carefully investigated. The radiation patterns of the proposed antenna are still similarly to bidirectional radiation pattern. ...