Patterns formed by the flow of an inhomogeneous fluid (suspension) over a smooth inclined surface were studied. It was observed that fractal patterns formed. There exists a threshold angle for the inclination above which, global fractal patterns are formed. This angle depends on the particle size of the suspension. We observed that there are two fractal dimensions for these patterns, dependin...

In this research, fractal relationships were used to evaluate the particle size distribution of the check dam. Three check dams with height of 2, 2 and 2.6 meters were selected and the hole was drilled same the height of the check dam at the sediment deposits. Then, depending on the color of the deposited layers, the thickness of the layers was determined and sampling was down from each layer t...

Every phenomena in the nature, despite the complexity of the subject, has certain rules and regulations. River pattern and behavior as one of the most complex natural phenomena to this is not an exception. Depending on geomorphologic, climatic, topographic and erosive conditions, the waterways exhibit different patterns and behaviors. One of the parameters which can be achieved using the comple...

Fractal analyzing of continuous processes have recently emerged in literatures in various domains. Existence of long memory in many processes including financial time series have been evidenced via different methodologies in many literatures in past decade, which has inspired many recent literatures on quantifying the fractional Brownian motion (fBm) characteristics of financial time series. Th...