The analysis of the effective fractal dimensions corresponding to the fracture parameters points out the existence of at least: a) 8 different effective mechanical fractal dimensions, b) 8 diferent effective topographical fractal dimensions, as well as of: c) 4 different effective lacunarity measures L, corresponding to the mass-radius method and to the methods described by the works. The accom...

Extraction of fractal exponents via the slope of the power spectrum is common in the analysis of many physiological time series. The fractal structure thus characterized is a manifestation of long-term correlations, for which the temporal order of the sample values is crucial. However, missing data points due to artifacts and dropouts are common in such data sets, which can seriously disrupt th...

many studies suggested that fractals could be brought in any structural anarchy, such as cancers, for diagnosis and prognosis evaluation by quantifying it and expressing it in terms of fractal geometry. in this study, we aimed to evaluate pathologic grades or breast carcinomas by fractal analysis. this cross-sectional study was performed on 60 women with breast ductal carcinoma. from all the pa...

A fractal (power-law) distribution is the only statistical distribution applicable to a scale-invariant process. One of the major problems in petrology is the distribution of trace elements in the Earth’s crust. Extreme values of this distribution result in ore deposits. There is accumulating observational evidence that tonnage–grade statistics of ore deposits are often fractal (powerlaw). Rayl...

Continuous periodogram power spectral analyses of fractal fluctuations of frequency distributions of bases A, C, G, T in Drosophila DNA show that the power spectra follow the universal inverse power-law form of the statistical normal distribution. Inverse power-law form for power spectra of space-time fluctuations is generic to dynamical systems in nature and is identified as self-organized cri...

– We examine the proposal that a model of the large-scale matter distribution consisting of randomly placed haloes with power-law profile, as opposed to a fractal model, can account for the observed power-law galaxy-galaxy correlations. We conclude that such model, which can actually be considered as a degenerate multifractal model, is not realistic but suggests a new picture of multifractal mo...

A city has a very complex transportation network. It is very hard for city planners to evaluate it in both micro scale and macro scale and so far most of these works have been done empirically. In this study a new method named Distributive Continuous Fractal Analysis will be introduced to evaluate the road networks. Previous researches treat a city as a whole and did fractal analyses between ci...

the takmeh-dash region comprises a wide variety of igneous bodies that have been developed from early to late neogen. the granitic rocks and related aplite apophyses have been developed along fault-dominated structures which defines a well pronounced mineralized zone. according to isotopic and fluid inclusion studies, most of the quartz-pyrite units are solution-related with some traces of cu, ...

In this paper, the authors introduce a hierarchic fractal model to describe bone hereditariness. Indeed, experimental data of stress relaxation or creep functions obtained by compressive/tensile tests have been proved to be fit by power law with real exponent 0 ⩽ β ⩽1. The rheological behavior of the material has therefore been obtained, using the Boltzmann-Volterra superposition principle, in ...