Fractals are remarkable examples of self-similarity where a structure or dynamic pattern is repeated over multiple spatial or time scales. However, little is known about how fractal stimuli such as fractal surfaces interact with their local environment if it exhibits order. Here we show geometry-induced formation of fractal defect states in Koch nematic colloids, exhibiting fractal self-similar...

Electric and magnetic fields of fractal distribution of charged particles are considered. The fractional integrals are used to describe fractal distribution. The fractional integrals are considered as approximations of integrals on fractals. Using the fractional generalization of integral Maxwell equation, the simple examples of the fields of homogeneous fractal distribution are considered. The...

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...

in the classification of traditional domes, they are divided into two main categories: “roc” (cone-shaped) and “nār” (hemisphere-like) domes. urchīn domes are a sub-category of cone-shaped domes which were common in the past in the region of mesopotamia and southwest of iran. the fractal geometry is the best way to describe the geometrical structure of these domes, because the existence of self...

sufficient measurements of effective parameters with suitable temporal and spatial distributions for all phenomena are needed. however, providing the data and informations are difficult and costly. so, temporal and/or spatial downscaling is of prime importance. by downscaling, one can generate data from available ones. there are diffent downscaling methods in literature but they are not compare...

The presence of correlated randomness in EEG time series signal buried in random noise was analyzed with the Higuchi fractal algorithm. The signal recognition algorithm design was built on the fact that the theoretical fractal dimension value of 2 is an indicator for a white noise time series and correlated randomness would alter the fractal dimension value from 2. However, the limited number o...

In this paper, built-up land expansion patterns and the associated factors were characterized in urban and non-urban areas across the Wen-Tai region of eastern China. Fractal dimension can be used as a reliable indicator of the complexity of built-up land form, and the increasing trend of fractal dimension indicated a more complex, dispersed pattern of built-up land in urban areas. Spatial regr...

In order to strengthen the prediction of rockburst and inquire the relationship between the rockburst proneness of rock and its surface fractal characteristic, the surface fractal of the rock was studied by fractal method and uniaxial compression test. The change rules of surface fractal of different types of rock were compared by calculating its fractal dimension of rock before experiment and ...

A parallel distributed processing approach to the computation of localized fractal dimension values in imagery is presented. This approach is a further development of the covering method which requires only nearest neighbor communication. A major benefit of our approach is the ability to readily incorporate any boundary information that may be available. Man y fractal textures or surfaces are f...