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...

In this paper, the optical properties of one dimensional fractal structures are investigated. We consider six typical fractal photonic structures: the symmetric dual cantor-like fractal structure, the asymmetric dual cantor-like fractal structure, the single cantor-like fractal structure, the symmetric dual golden-section fractal structure, the asymmetric dual golden-section fractal structure a...

Given string S[1..N ] and integer k, the suffix selection problem is to determine the kth lexicographically smallest amongst the suffixes S[i . . . N ], 1 ≤ i ≤ N . We study the suffix selection problem in the cache-aware model that captures two-level memory inherent in computing systems, for a cache of limited size M and block size B. The complexity of interest is the number of block transfers...

A model for space-filling packing of discs rolling sliplessly on each other is presented. This model is an extension of the model presented by Herrmann et al to a basic loop size of an arbitrary even number of discs. This model might have application in geophysics, dense granular flows and turbulence. We show the existence and uniqueness of such constructions, analytically, for loop size up to ...

Atmospheric flows exhibit fractal fluctuations and inverse power law form for power spectra indicating an eddy continuum structure for the selfsimilar fluctuations. A general systems theory for fractal fluctuations developed by the author is based on the simple visualisation that large eddies form by space-time integration of enclosed turbulent eddies, a concept analogous to Kinetic Theory of G...

The most significant aspect of a geochemical exploration program is to define and separate the anomalous values from the background. In the past decades, geochemical anomalies have been identified by means of various methods. Most of the conventional statistical methods aiming at defining the geochemical concentration thresholds for separating anomalies from the background have limited the effi...

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...

The scattering function S(q) has been computed for simulated fractal aggregates using off-lattice cluster-cluster models. The curve log S(q) versus logq goes through a broad minimum followed by damped oscillations at large q values. These simulations are compared with experimental SANS results on colloidal silica aerogels. The agreement between simulations and experiments is qualitatively good....

The aim of this study is separation of Fe2O3, TiO2 and V2O5 anomalies in Esfordi 1:100,000 sheet which is located in Bafq district, Central Iran. The analyzed elements of stream sediment samples taken in the area can be classified into 5 groups (factors) by factor analysis. The Concentration–Number (C-N) fractal model was used for delineation of the Fe2O3, TiO2 and V2O5 thresholds. According to...