The fractal dimension of high resolution Hinode solar granulation observations and numerical simulations is studied and the results are compared. These observations are not influenced by atmospheric seeing conditions and therefore allow a more realistic estimate of the fractal dimension than in previous works. Though arriving at similar results for observations and simulation data, non integer ...

For this, we obtained a fractal dimension of the proximal convoluted tubuli in the dog kidney by mean box-counting method. The fractal value we obtained is a flat dimension, and it is different than the line fractal dimension of the dog kidney arterial pattern, which was previously calculated by us (Gil et al., 2006). Thus, from optical microscopy images, we are able to obtain a single quantita...

This paper studies a new, quantitative approach using fractal geometry to analyse basic tenets of good programming style. Experiments on C source of the GNU/Linux Core Utilities, a collection of 114 programs or approximately 70,000 lines of code, show systematic changes in style are correlated with statistically significant changes in fractal dimension (P≤0.0009). The data further show positive...

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...

Free settling tests, small angle light scattering (SALS), microtome-slicing techniques, and confocal laser scanning microscopy (CLSM) were performed to examine how the cationic flocculation or freezing and thawing affected the floc structure. The floc size, internal pore size, mass fractal dimensions determined from free-settling test or small angle light scattering test, aeral porosity, bounda...

We investigated pattern formation in Ag-In electrodeposition by constructing a morphology diagram that indicates the presence of pattern at a current density and cathode potential. The patterns that emerge as a fishbone and tree are found to have a fractal property. As the current density increases, the fishbone-like pattern with a fractal dimension of 1.44 changes into the tree-like pattern wi...

The fractal and self-similarity properties are revealed in many complex networks. In order to show the influence of different part in the complex networks to the information dimension, we have proposed a new information dimension based on Tsallis entropy namely Tsallis information dimension. The Tsallis information dimension can show the fractal property from different perspective by set differ...

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...