approximation

An approximation of the transfer function of the high-order particle swarm synthesized by links (models) of various types of fractional order and estimate the accuracy of this approximation by comparing transient and frequency characteristics by means of mathematical modelling in MATLAB Simulink. We prove that the approximations for induction generator with self excitation using fractional model of the first order.

In this article violates theoretical aspects of administrative contract as a form of public administration in the field of organization of passenger road transport due to the adaptation of national transport legislation with the European Union. On this basis we considered features, functions and types of administrative agreements in the field of passenger service by road transport.

This paper presents investigation of the image's possibility of distribution of lumply-continuous functions with are presented by Legendre polynomials and practical realization of this technique and methods for its improving were investigated.

Were researched dependences of standard mean square errors of land parcel area determination as a function of area and elongation coefficients. Using investigated values was made an approximation of quadratic polynomial function for standard mean square errors of land parcel area in intervals 0,1-1 ha, 1-10 ha, 10-100 ha with evaluation of accuracy of approximated functions.

We consider the method of constructing the local gravity field using technique called spherical cap harmonic analysis (SCHA). This approach involves using of  associated Legendre functions of integer degree and noninteger order. These functions form two sets of functions. They are mutually orthogonal over the spherical cap in each set. However, in general these functions are not orthogonal. Thus, for using both of these sets of functions it is traditionally used least squares method. However, for higher orders it is quite difficult to compute eigenvalues and norms of these functions.

Purpose. Digital-SEM image, due to various physical factors of scanning electron microscope inherent significant geometric distortion. The aim of this study is to establish and Effective consideration to improve the accuracy to obtain quantitative spatial parameters mikrosurface objects are investigated using SEM. This problem is extremely important, especially nowadays when needed control of technological processes for the production of micron and submicron levels, particularly in engineering, microelectronics and many others.

For measurements of digital SEM images of test grid with a resolution 1425 lin/mm taken on a digital SEM DSM-960A (Carl Zeiss, Germany), are defined by their scale and geometric distortion of the SEM magnification range from 1000h to 20000h. Found that the large-scale distortions of digital SEM images obtained in this type of SEM is systematic, regardless of the increase and is approximately -2 % along the x-axis image and -4 % along the y-axis with a picture.

The purpose of this article is the research of results of approximation of functions of calculation of the meansquare errors of land parcels areas to determine such approximation function, which would allow most accurately calculate the permissible values of mean square errors depending on the size and elongation of land parcel. Methods. To meet the goal an approximation of functions by the method of least squares was performed. Two functions were used for approximation – the natural logarithm and power, as well as the evaluation of the accuracy was done.