introduction: water and soil retention curve is one of the most important properties of porous media to obtain in a laboratory retention curve and time associated with errors. for this reason, researchers have proposed techniques that help them to more easily acquired characteristic curve. one of these methods is the use of fractal geometry. determining the relationship between particle size di...

the intensity – duration – frequency (idf) curves play most important role in the hydraulic design of structures. the traditional method to construct idf curves has a long estimation process and also has high number of parameters which this property reduces the reliability of idf curves. in the traditional method, rainfall in different durations should be available until the extraction of idf c...

The theory of iterated function systems (IFS) on complete metric spaces appears in almost all fractal based algorithms used for the purpose of compression of the images and their representation as well. Through a simple mathematical model, IFS technique provides an important tool for description and manipulation of the complex fractal attractors. In this paper we study the iterated function sys...

A theory of fractional kinetics of glial cancer cells is presented. A role of the migration-proliferation dichotomy in the fractional cancer cell dynamics in the outer-invasive zone is discussed an explained in the framework of a continuous time random walk. The main suggested model is based on a construction of a 3D comb model, where the migrationproliferation dichotomy becomes naturally appar...

The origin of log-periodic oscillations around the power-law trend of the escape probability from a precritical attractor and of the noise-free stochastic multiresonance, found in numerical simulations in chaotic systems close to crises is discussed. It is shown that multiple maxima of the spectral power amplification vs. the control parameter result from a fractal structure of a precritical at...

Osteoporosis is a condition of decreased bone mass. This leads to fragile bones which are at an increased risk for fractures, more often, it affects postmenopausal women. In this paper we propose a study of osteoporosis with the fractal dimension. After an introduction to the theory and fractal dimension, we use the box counting method for the segmentation of radiographic images, the study of t...

It is shown that the observed fractal distribution of galaxies is, in fact, consistent with homogeneity of the Universe and observational limits on ∆T /T , if the presence of dark matter and dark charge predicted by the Modified Field Theory is taken into account. It is discussed a new scenario of structure formation in which observed structures appear as a result of decay of the primordial fra...

We show by both experiment and theory that a specific class of planar conducting fractals possesses a series of self-similar resonances, leading to multiple gaps and pass bands for electromagnetic waves over an ultrawide frequency range. A double stack of these fractal patterns exhibits polarization-independent absolute gaps over a wide range of incidence angles. These characteristics are retai...

Matching pursuit is a general and exible method for solving an optimization problem that is of interest in signal analysis, coding, control theory and statistics. In this paper, principles of rate-distortion optimal coding are used in combination with matching pursuit algorithm to obtain an enhanced fractal image coding method. The advantages of using such a method over traditional fractal imag...

A theory of general intelligence must account for how an intelligent agent can map percepts into actions at the level of human performance. We describe a new approach to this percept-to-action mapping. Our approach is based on four ideas: the world exhibits fractal self-similarity at multiple scales, the design of mind reflects the design of the world, similarity and analogy form the core of in...