Abstract Most conventional statistical methods aiming at defining geochemical concentration thresholds for separating anomalies from background have limited effectiveness in areas with complex geological settings and variable lithology. In this paper, median+2MAD as a method of exploratory data analysis (EDA) and concentration-area (C-A) fractal model as two effective approaches in separation g...

one of the important aspects of soil is, knowing the relationships between spatial features of soil and quantity in statistical model. the goal of this research is to estimate saturated hydraulic conductivity by regression and co-active neuro-fuzzy inference system (anfis) with using the parameters of bulk density, real density, porosity, fractal dimension of particle size, and clay percent, si...

BACKGROUND Right-sided heart failure has high morbidity and mortality, and may be caused by pulmonary arterial hypertension. Fractal dimension is a differentiated and innovative method used in histological evaluations that allows the characterization of irregular and complex structures and the quantification of structural tissue changes. OBJECTIVE To assess the use of fractal dimension in car...

We report an algorithm for the partition of a line segment according to a given ratio ν. At each step the length distribution among sets of the partition follows a binomial distribution. We call k-set to the set of elements with the same length at the step n. The total number of elements is 2 and the number of elements in a same k-set is C n. In the limit of an infinite partion this object beco...

This paper examines the fractal nature of the Narayana fractal, an object defined by N = {(i, j) ∈ N× N : N(i + j + 1, j + 1) = 1 (mod 2)}. where N(n, k) = 1 n ( n k )( n k − 1 ) are the Narayana numbers. This object closely resembles a fractal derived from Pascal’s triangle. This similarity is used to prove that the Hausdorff dimension of the Narayana fractal is log 3/ log 2, and the limit of ...

The stress-strain behavior of fractal networks possesses self-affine scaling associated with statistical scale invariance of damage patterns. We found that the damage part of stress-strain curve of fractal network and the corresponding rupture line are characterized by the same scaling (Hurst) exponent, H , which is not universal, rather it depends on the network fractal dimension as H =DB − 1....

A new and improved model of red sprites is presented. Emphasis is placed in accounting for the puzzling observation of the spatial structure in the red sprite's optical emissions. The model relies upon a horizontal fractal lightning discharge, which generates the EMPs that excites the optical emissions in the lower ionosphere. It is shown that the fractal model may account for the observed spri...

A series of three experiments was conducted with the aim of determining the processing nature of the fractal rotation stimulus introduced by C. P. Benton, J. M. O'Brien, and W. Curran (2007). This stimulus has been proposed to be invisible to first-order sensitive mechanisms considering it is drift-balanced. Rather, motion perception would require the analysis of spatial structure (orientation)...

So far, several implementations of the Fractal specifications have been proposed. These implementations propose frameworks for programming with Fractal in a target language (Java, C, Smalltalk, C++). The general principles of implementing the specifications are common to all these frameworks. However, as far as we know, no concrete piece of software or no common set of internal interfaces have ...