The voltage grade of electrical transmission line is getting higher and higher, consequently, flashover of transmission insulators is getting more and more severe in high-voltage (HV) and ultra-high-voltage (UHV) systems under serious pollutions, which menaces the safety of power transmission system heavily. The crux to enhance the security of power system is to discover ways of monitoring stat...

Orthodontic tooth movement (OTM) is a dynamic process of bone modeling involving osteoclast-driven resorption on the compression side. Consequently, to estimate the influence of various situations on tooth movement, experimental studies need to analyze this cell. Objectives The aim of this study was to test and validate a new method for evaluating osteoclastic activity stimulated by mechanical ...

Strange attractors of 3D vector field flows sometimes have a fractal geometric structure in one dimension, and smooth surface behavior in the other two. General flow visualization methods show the flow dynamics well, but not the fractal structure. Here we approximate the attractor by polygonal surfaces, which reveal the fractal geometry. We start with a polygonal approximation which neglects th...

It had been conjectured that diffusion limited aggregates and Laplacian growth patterns (with small surface tension) are in the same universality class. Using iterated conformal maps we construct a one-parameter family of fractal growth patterns with a continuously varying fractal dimension. This family can be used to bound the dimension of Laplacian growth patterns from below. The bound value ...

The paper proposes the idea of the error correction algorithm for the fractal dimension estimation based on the linear transformation approach allowing the estimation accuracy to be improved essentially. The proposed algorithm is based on the use of the isarithm and triangular prism estimation methods. The results of comparison of a few fractal dimension estimation methods with the use of artif...

in analyzing a signal, especially a non-stationary signal, it is often necessarythe desired signal to be segmented into small epochs. segmentation can beperformed by splitting the signal at time instances where signal amplitude orfrequency change. in this paper, the signal is initially decomposed into signals withdifferent frequency bands using wavelet transform. then, fractal dimension of thed...

This paper investigates the use of fractal metrics for discrimination of copper surface textures. Measurements of copper surfaces, using contacting profilometry, provided the raw data for the fractal analysis. The samples tested included copper foil samples and a copper lead frame, typical of those in use in plastic electronic packages. The fractal Hausdorf dimension and upper/lower ranges of f...

Molecular dynamics simulation is applied to study the electroosmotic flow in rough nanochannels, with particular attention given to the fluid–solid interactions. In the simulation, the surface roughness is characterized by a fractal Cantor. The roles of roughness height and fractal dimension on nanoscale electroosmotic flow are examined and analyzed. The concentration distributions, zeta potent...

studying forest degradation through evaluation of soil nutrient concentrations, which reveals soil functioning within the ecosystem, is necessary for sustainable management of land resources. this research was conducted to understand the changes of soil nutrient, resulting from exploitive management using some soil features and their spatial pattern. in the mid-summer of 2014, two sites were se...