The detection of «accelerating expansion of the Universe» by the High-Z SN Search Team and Supernova Cosmology Project groups was analyzed from the point of view of solving the problem of structurally-parametric identification for the cosmological distances scale on red shift within Friedman-Robertson-Walker model on the joined data on supernova type SN Ia. A similar decision is given for the interpolation model.

The different variants of the choice of the fundamental physical constants (FPC) to be fixed in connection with the planned transition to new definitions of four base SI units (kilogram, mole, ampere and kelvin) are discussed. The possible criteria for an optimal choice of FPC applicable for that transition are considered. The advantages and shortcomings of new definitions of the kilogram, mole, ampere and Kelvin on the basis of different sets of constant chosen from the following FPC: the atomic mass unit, the Avogadro constant, the elementary electric charge, the Boltzmann constant, the Planck constant and the magnetic constant are analyzed.

Justification of distribution mixtures usage for control of parameters of various dynamic objects which state depends on several random factors is presented. The algorithm of Poisson distribution mixtures using for stochastic forecasting of changes of these parameters in process of objects operation is offered.

The results of 3D surface reconstruction using stereo Scanning Electron Microscopy images of silicon structures with trapezoidal relief elements and the same structures covered with Au islands are reported. The results are compared with those obtained by transmission scanning electron microscopy (STEM) and atomic force microscopy (AFM). It was found that the formation of Au island film on the surface of investigated structure with a mean particle size of about 10 nm can improve the accuracy of the results of 3D surface reconstruction. The error of the protrusions height value measuring by this method is less than 4 % for 597-600 nm.

Electron probe measuring method the inhomogeneity of the thickness of the nanofilms, based on the dependence of the ratio of intensities of characteristic x-rays of the elements included in the film from its thickness is proposed. Calibration dependence is created by calculations on the basis of simulation of interaction of electrons with the sample by the Monte Carlo method.

The description of error compensation procedure of passive optical-electronic system for the products dimensional control is proposed. The results of certification of the developed data processing algorithm for the characteristics of accuracy, stability and complexity are presented. On the basis of experimental study it was shown that software implementation of the developed algorithm provides a reduction of errors of dimensional control of products in comparison with existing techniques from the US National Instruments.

The design principles of magneto-optical displacement transducers based on Faraday effect are considered. The results of mathematical modeling of fiber-optic differential displacement transducer characteristics are shown. The results of the practical application of data obtained from modeling are presented.

The developed procedure is based on the joint use of the discrete model of the oscillatory process and the algorithm for calculation the cumulative phases using a discrete Hilbert transform. By numerical simulation, the values of the ADC bit depth and sample size for measuring the phase difference signal with an accuracy of less than 0,001˚ were determined. The efficiency of the proposed algorithm was confirmed on real signals during the endurance test of the wire material "metal rubber" (MR) damper used for vibration protection of pipelines in engines.

The movement of manometric tubular spring as a thin-walled curved rod oscillating in the plane of curvature of the central axis in a viscous medium was investigated. The software package "Gauge" was developed. An experimental evaluation of the reliability of the obtained results was carried out.

The algorithm for determining the parameters of 2n linear thermal circuits of semiconductor devices submitted in the form of n series-connected RC- units is proposed. By numerical computer simulation estimates of errors of determining those parameters on frequency dependences of the thermal impedance module of the semiconductor devices are obtained. The frequencies for which the errors in determining the parameters do not exceed the specified values were also obtained.

The proposed method of constructing microwave devices, forming a uniform temperature distribution over the cross section of the dielectric pipe and the method of calculation of the temperature distribution along the thickness of pipes made of composite materials.

The current status and the main trends in development of measurement standards based on the Josephson effect are described. Designs of measurement standards setups and the ways of their improving and expanding the field of their application are cosidered.

The method of detection and identification of defects inside the tube, magnetized by alternating current is considered. The 3D computer model of the magnetized part of the pipeline was developed using the finite element method. The model allows to calculate the magnetic field distribution inside the tube while flowing through it an alternating electrical current. The developed calculation model may be used to create an effective measurement system for intratubal magnetic defectoscope.

The technique of time-frequency analysis of unevenly sampled data sets obtained from ground-based millimeter-wave (microwave) observations of night mesospheric ozone emission spectra was developed. Both the basic calculation formulas and results of numerical simulations with sinusoidal and noise signals are presented. Results of the simulations are in good agreement with the theoretical estimates.

A method of selection the desired signal from noise, «method of mirror noise images», and the algorithm of its realization were proposed.The research results of the algorithm showed that it provides a significant gain in signal-to-noise ratio in comparison with the filtering of the signals.

Mathematical model of multichannel sensors unit based on diamond detector elements of cosmic radiation fluxes parameters monitoring instrument has been developed. The simulation of output of the multichannel sensors unit registering cosmic space ionizing radiation at different spaceship orbits under different sun activity has been carried out.

The results of investigation for developement of the certified reference material of nanoporous aluminium oxide are presented. The assessment of CRM metrological characteristics was conducted.