abstract the limitation of water sources in most places all over the world, especially in arid and semi-arid lands is an important issue for those who live in these areas. many governments have dedicated their efforts toward finding new water resources to obtain water. fog and cap clouds harvesting are one of the candidate methods to produce pure water. many countries including chile, peru, ecu...

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...

The purpose of this study is to determine geochemical anomalies on lithogeochemical data from Ardestan area, Central Iran, using concentration-number (C-N) fractal modeling and staged factor analysis. Staged factor analysis is used to the recognition of genetic correlation and elimination of non-indicator elements in three steps. Factor scores of elements were calculated and geochemical data cl...

The fractal distribution is the best statistical model for the size-frequency distributions that result from some lithic reduction processes. Fractals are a large class of complex, self-similar sets that can be described using power-law relations. Fractal statistical distributions are characterized by an exponent, D, called the fractal dimension. I show how to determine whether the size-frequen...

Integrals and derivatives of fractional order have found many applications in recent studies in science. The interest in fractals and fractional analysis has been growing continually in the last few years. Fractional derivatives and integrals have numerous applications: kinetic theories [1, 2, 3]; statistical mechanics [4, 5, 6]; dynamics in complex media [7, 8, 9, 10, 11]; electrodynamics [12,...

In this letter we present an idea which reconciles a homogeneous and isotropic Friedmann universe with a fractal distribution of galaxies. We use two observational facts: The flat rotation curves of galaxies and the (still debated) fractal distribution of galaxies with fractal dimension D = 2. Our idea can also be interpreted as a redefinition of the notion of bias.