The spatial distribution of stars in a disk of a galaxy can be described by a radial scale length and a vertical scale height. The ratio of these two scale parameters contains information on the axis ratio of the velocity ellipsoid, i.e. the ratio of the vertical to radial stellar velocity dispersions of the stars, at least at some fiducial distance from the center. The radial velocity dispersi...

The d-dimensional, nearest-neighbor disordered Ising ferromagnet: is studied as a function of both temperature, T, and a disorder parameter, λ, which measures the size of fluctuations of couplings J^ ^O. A finite-size scaling correlation length, ξf(T, λ), is defined in terms of the magnetic response of finite samples. This correlation length is shown to be equivalent, in the scaling sense, to t...

In this paper we employ homogenization techniques to provide a rigorous derivation of the Darcy scale model for precipitation and dissolution in porous media proposed in [19]. The starting point is the pore scale model in [12], which is a coupled system of evolution equations, involving a parabolic equation and an ordinary differential equation. The former models ion transport and is defined in...

This review is intended to give a pedagogical and unified view on the subject of the statistics and scaling of physical quantities in disordered electron systems at very low temperatures. Quantum coherence at low temperatures and randomness of microscopic details can cause large fluctuations of physical quantities. In such mesoscopic systems a localization-delocalization transition can occur wh...

Stability and performance are two main issues in motion of bipeds. To ensure stability of motion, a biped needs to follow specific pattern to comply with a stability criterion such as zero moment point. However, there are infinity many patterns of motion which ensure stability, so one might think of achieving better performance by choosing proper parameters of motion. Step length and step perio...

Using the data for upper record values, interval estimation scale parameter of two-parameter exponential distribution is presented. In addition, two methods joint confidence region parameters are proposed. terms area, simulation comparison performed in this paper. The criterion minimum area used to obtain optimal method region. To illustrate our proposed methods, one biometrical example and cor...

Abstract— A classical plane problem of the theory elasticity about a crack in stretched orthotropic elastic unbounded is considered, which leads to singular solution for stresses vicinity edge. The relations generalized elasticity, including small scale parameter, are given. equations higher order than and allow eliminating singularity solution. parameter determined experimentally. results obta...

There have been many papers suggesting that the parameter of generalized uncertainty principle should be negative rather than positive in some specific scenarios, and can remove minimum length. However, length is a model-independent feature quantum gravity it not affected by scenarios. In order to solve this contradiction, we derive new reflect fixed unified both cases parameters.

In order to study the genetic conditions of some agronomic traits in wheat, a cross was made between Gaspard and Kharchia varieties. F2, F3 and F4 progenies with parents were evaluated under drought conditions. Three-parameter model [m d h] considered as the best fit for number of fertile tiller and flag leaf length using generations mean analysis method. For number of grain per spike and main ...