The first-degree power-law polynomial function is frequently used to describe activity metabolism for steady swimming animals. This function has been used in hydrodynamics-based metabolic studies to evaluate important parameters of energetic costs, such as the standard metabolic rate and the drag power indices. In theory, however, the power-law polynomial function of any degree greater than one...

Typically, a large-scale natural graph follows a skewed power law. In distributed graphstructured computations, the skewness usually makes a bad partitioning, which leads to high communication cost and workload imbalance. Therefore, graph partitioning (GP) is a challenging issue. To tackle this challenge, we introduce degree-based techniques into GP via vertex-cut. Accordingly, we develop a nov...

Tail estimates are developed for power law probability distributions with exponential tempering, using a conditional maximum likelihood approach based on the upper order statistics. Tempered power law distributions are intermediate between heavy power-law tails and Laplace or exponential tails, and are sometimes called “semiheavy” tailed distributions. The estimation method is demonstrated on s...

the distribution pattern of pest population is one of the factors not only effects on sampling program and data analysis method, but also can be used to measure the density of pests and their natural enemies. thus, the spatial distribution pattern of the pea aphid, acyrthosiphon pisum harris (hem.: aphididae) and its two major predators, hippodamia variegata goeze (col.: coccinellidae) and cocc...

The present study investigates buckling characteristics of both nonlinear symmetric power and sigmoid functionally graded (FG) beams. The volume fractions of metal and ceramic are assumed to be distributed through a beam thickness by the sigmoid-law distribution (S-FGM), and the symmetric power function (SP-FGM). These functions have smooth variation of properties across the boundary rather tha...

The Internet is unique. It is the most complex quasi-physical entity created by humans: we can’t completely model it, and we don’t fully understand its structure or its growth patterns [21]. As a result, hot research topics in the past several years include the empirical study of Internet topology, the construction of mathematical models of “Internet-like” topology [20, 1], problems in network ...

We present analytical and numerical results of modeling of flows represented as the correlated non-Poissonian point process and as the Poissonian sequence of pulses of the different size. Both models may generate signals with the powerlaw distributions of the intensity of the flow and the power-law spectral density. Furthermore, different distributions of the interevent time of the point proces...

Many complex systems have been modeled as networks. Examples of such systems that are of interest to cognitive psychologists include the mental lexicon for spoken word recognition and semantic memory. A frequent finding in such studies is that the frequency distribution of the number of connections for each node in the network follows a power law. This finding has been interpreted to mean that ...

To explore the emergence of power laws in social and economic phenomena, the authors discuss the mechanism whereby reversal quasi-symmetry and Gibrat’s law lead to power laws with different powerlaw exponents. Reversal quasi-symmetry is invariance under the exchange of variables in the joint PDF (probability density function). Gibrat’s law means that the conditional PDF of the exchange rate of ...

In this study, the stirring mechanism of shear-thinning fluids benefiting from four blades in turbulent flow is considered. The fluid is studied inside a stirred cylindrical tank with a flat bottom. The height of fluid is equal to the cylinder’s diameter and the impeller is positioned centrally. A CFD simulation has been carried out and three-dimensional turbulent flow is numerically analyzed u...