We present here the iteration procedure for the determination of free energy ǫ 2-expansion using the theory of KdV-type equations. In our approach we use the conservation laws for KdV-type equations depending explicitly on times t 1 , t 2 ,. .. to find the ǫ 2-expansion of u(x, t 1 , t 2 ,. . .) after the infinite number of shifts of u(x, 0, 0,. . .) ≡ x along t 1 , t 2 ,. .. in recurrent form....

607 Abstract— In this work, we present solutions of two problems. First, the representation of pattern recognition problem in the standard nml T table of the algorithm estimate calculation was considered. Second, the problem of finding the model, consisting of the optimal parameters of an algorithm was considered. Such procedure is carried out by the selection optimal values of the parameters o...

The authors discussed about the problem of special form in astigmatism classification. This special type of astigmatism is the form of obliquely crossed astigmatism. In which the meridians, major and minor, are not right angles. In this astigmatism is not possible to prescribing for cylindrical (toric) spectacle lens. Authors describe the Thompson formula for oblique crossed cylinder and observ...

X-ray diffraction from crystal surfaces and interfaces is described within the framework of the dynamical theory. The intensity distributions of specular and non-specular crystal truncation rods are interpreted with this dynamical approach. Difficulties encountered in the ordinary dynamical calculation for these rods are mentioned and the details of the numerical calculation procedure which ove...

The Szeged index (Sz) is a recently proposed1q2 structural descriptor, based on the distances of the vertices of the molecular graph. In order to be able to study the properties of this novel topological index it would be advantageous to possess an easy method for its calculation. The calculation of Sz directly from its definition (see below) is quite cumbersome, especially in the case of large...

An analogy between celebrated Kendall equation for busy periods in the system M |GI|1 and analytical results for busy periods in the priority systemsMr|GIr |1 is drawn. These results can be viewed as generalizations of the functional Kendall equation. The methodology and algorithms of numerical solution of recurrent functional equations which appear in the analysis of such queueing systems are ...

When a triple procedure is planned, calculation of the intraocular lens becomes a problem. Postoperative corneal power bears no relation to preoperative power, and the axial length of the globe also changes. A prospective study of 24 keratoplasties revealed a close relationship between postoperative corneal power and donor corneal power. Changes in axial length were found to be too small to pro...

we present a new renormalization-group calculation of the octagonal tiling excitation spectrum. Two new self-;imilar octagonal tilings are introduced, a triangle-Lite and a triangle-dan tiling, which are entangled with the standard rhombus-~quare tiling. The decimation procedure involved in the renormalization group calculation transforms each tiling enta a different one and goe; back tu the (r...