Empirical studies on the spatial structures in several real transport networks reveal that the distance distribution in these networks obeys power law. To discuss the influence of the power-law exponent on the network’s structure and function, a spatial network model is proposed. Based on a regular network and subject to a limited cost C, long range connections are added with power law distance...

The dynamics of two nematic liquid crystals, 4-(trans-4(')-n-octylcyclohexyl)isothiocyanatobenzene and 4-(4-pentyl-cyclohexyl)-benzonitrile, are investigated as a function of temperature both in the homeotropically aligned nematic phase and in the isotropic phase using optical heterodyne-detected optical Kerr effect experiments, which measures the time derivative of the polarizability-polarizab...

 The object of the present study is to propose the power law process also known as non homogenous poison process which is identical to the weibull process in analyzing and modeling different types of cancer, especially breast cancer.  The key objective is to study the change of the tumor growth as a function of age. The intensity function within the power law process will give us the rate of ...

Two separate statistical tests are applied to the AGASA and preliminary Auger Cosmic Ray Energy spectra in an attempt to find deviation from a pure power-law. The first test is constructed from the probability distribution for the maximum event of a sample drawn from a power-law. The second employs the TP-statistic, a function defined to deviate from zero when the sample deviates from the power...

We have mapped a ∼ 5.5×5.5 pc portion of the M17 massive star-forming region in both 850 and 450 μm dust continuum emission using the Submillimeter Common-User Bolometer Array (SCUBA) on the James Clerk Maxwell Telescope (JCMT). The maps reveal more than 100 dusty clumps with deconvolved linear sizes of ∼0.05–0.2 pc and masses of ∼0.8–120 M⊙, most of which are not associated with known mid-infr...

in the present paper, an exact solution for transient response of an infinitely long functionally graded thick-walled cylinder subjected to dynamic pressures at the boundary surfaces is presented for arbitrary initial conditions. the cylinder is assumed to have a plane-strain condition and the dynamic pressures are assumed to be imposed uniformly and axisymmetrically on the boundary surfaces. m...

We fit the surface-brightness profiles of 21 elliptical galaxies using both the Sérsic function and a new empirical model which combines an inner power law with an outer Sérsic function. The profiles are combinations of deconvolved HST profiles from the literature and ellipse fits to the full WFPC2 mosaic images, and thus span a radial range from ∼ 0. ′′02 to ∼ twice the half-light radius. We a...

The velocity, shear-rate, variable viscosity, and variable power-law index profiles are calculated for non-Newtonian fluids using the finite difference method. The calculations are carried out for an actual viscosity function obtained by a cilrve fit through measured data and for the corresponding power law model, the simplest and most often used form for non­ Newtonian viscosity function appro...

Two-dimensional informetrics is defined in the general context of sources that produce items and examples are given. These systems are called “Information Production Processes” (IPPs). They can be described by a size-frequency function f or, equivalently, by a rank-frequency function g. If f is a decreasing power law then we say that this function is the law of Lotka and it is equivalent with t...