This study aims to evaluate the efficiency of the concentration-number (C-N) fractal model for discrimination of soil horizon regarding the depth distribution profile. In this regard, soil parameters such as pH, organic carbon content, calcareous mineral content, electrical conductivity and available phosphorus of Ziarat forestland in Golestan Province, north of Iran, has been investigated. The...

This paper presents a method for lossy coding of still pictures using the theory of iterated function systems (IFS) which is a standard description for deterministic fractals. The coding concept is based on a blockwise fractal approximation of the original image by contraction mappings of itself using affine transformations which are a special case of IFSs. Data reduction is achieved by exploit...

We obtain an explicit expression relating the writhing number, W [C], of the quantum path, C, with any value of spin, s, of the particle which sweeps out that closed curve. We consider a fractal approach to the fractional spin particles and , in this way, we make clear a deeper connection between the Gauss-Bonnet theorem with the spin-statistics relation via the concept of Hausdorff dimension, ...

We obtain an explicit expression relating the writhing number, W [C], of the quantum path, C, with any value of spin, s, of the particle which sweeps out that closed curve. We consider a fractal approach to the fractional spin particles and , in this way, we make clear a deeper connection between the Gauss-Bonnet theorem with the spin-statistics relation via the concept of Hausdorff dimension, ...

To seek for a possible origin of fractal pattern in nature, we perform a molecular dynamics simulation for a fragmentation of an infinite fcc lattice. The fragmentation is induced by the initial condition of the model that the lattice particles have the Hubble-type radial expansion velocities. As time proceeds, the average density decreases and density fluctuation develops. By using the box cou...

This study explores the concept of fractal geometry found in Tian Ti Pagoda. Fractal is a branch mathematics describing properties and shapes various fractals. A qualitative method with an ethnographic approach used this study. Observation, field notes, interviews, documentation, literature obtained research data. The observation results were processed computationally using Lindenmayer system v...

In the paper, the class of discrete linear systems is enlarged with the inclusion of discrete-time fractional linear systems. These are systems described by fractional difference equations and fractional frequency responses. It is shown how io compute the impulse response and transfer function. Fractal signals are introduced as output of special linear systems: fractional differaccumulators, sy...

We present a novel approach to detect and classify multiple sclerosis lesions in magnetic resonance images by using the concept of fractional Brownian motion. Estimating the local fractal dimension by means of its multiscale fractional Brownian Feature Vector (BFV) allows to distinguish between diierent types of brain tissue with regard to the human perception of roughness and statistical self-...

Introduction to Fractal Geometry .................................................................. 1 1. A few Random Quotes ......................................................................... 1 2. Introduction ....................................................................................... 1 3. Types of fractals ........................................................................

The concept of fractal index is introduced in connection with the idea of universal class h of particles or quasiparticles termed fractons which obey fractal statistics. We show the relation between fractons and conformal field theory(CFT)-quasiparticles taking into account the central charge c[ν] and the particle-hole duality ν ←→ 1 ν , for integer-value ν of the statistical parameter. The Hau...