Let w be the orientation distribution function of a polycrystalline aggregate of crystallites with symmetry G cr and with group of texture symmetry G tex. In this paper we obtain a \recipe" on how to derive optimal bounds on the texture coeecients W lmn associated with w. In particular, we nd explicit bounds in the case in which G tex is a group with orthorhombic symmetry and G cr is either a g...

We apply the mu n-tin e ective medium approximation to calculate the temperature dependence of the resistivity and thermopower of amorphous and liquid metals. The results show unambiguously that a large resistivity is accompanied by a negative temperature coe cient, in agreement with the experimental situation. This behavior is shown to result from a pseudo-gap which opens in the one-particle s...

Let k be a diierence eld with automorphism. Let b be an element of k, and L be a linear ordinary diierence operator with coeecients in k. A classical problem in the theory of diierence equations is to compute all the solutions in k of the equation L(y) = b. If C denotes a constant eld and if k = C(n) and n = n + 1 or n = qn, there are known algorithms (see 2] for example). Manuel Bronstein pres...

We show that the integer roots of of a univariate polynomial with integer coe cients can be computed in polynomial time This re sult holds for the classical i e Turing model of computation and a sparse representation of polynomials i e coe cients and exponents are written in binary and only nonzero monomials are represented

When the wavelength is much larger than the typical scale of the microstructure in a material, it is possible to de£ne effective or homogenized material coef£cients. Two numerical methods for the determination of the homogenized, coef£cients are compared. Numerical examples, where extreme properties of the effective material are achieved in the two dimensional case, are presented.

This paper considers estimation of slope coe¢ cients in large panel data models where even after conditioning on common observed e¤ects the cross section units might remain dependently distributed. This could arise when the cross section units are subject to unobserved common e¤ects and/or if there are spill over e¤ects due to spatial or other forms of local dependencies. Initially it focuses o...

We discuss a Bayesian formalism which gives rise to a type of wavelet threshold estimation in non-parametric regression. A prior distribution is imposed on the wavelet coe cients of the unknown response function, designed to capture the sparseness of wavelet expansion common to most applications. For the prior speci ed, the posterior median yields a thresholding procedure. Our prior model for t...

Spring barley is a key grain-fodder and feed crop, which forms an increased yield (in comparison with other crops) due to early maturity drought resistance. Many different methods for assessing environmental plasticity stability have been developed, they are reliable informative. The purpose of this study comparative characteristic parametres calculated application various on the example variet...

cial in subgroups of inten sive care unit (ICU) patients, but may harm other sub groups. Th is harm may be due to hypoglycemic events. In avoiding hypoglycemia, an accurate bedside glucometry method is essential [1]. Bridges and colleagues therefore evaluated the accuracy of a continuous subcutaneous glucose monitoring system (CGMS) in critically ill children, and concluded that the system prov...