Hermite Interpolation Polynomial for Functions of Several Variables

Cybernetics and Systems Analysis - The Hermite interpolation problem in the Euclidean space is considered, where the value of the function of several variables and its first-order and second-order...     

Solving Hermite Interpolation Problem in Finite-Dimensional Euclidean Space

Cybernetics and Systems Analysis - The Hermite problem in the Euclidean space is considered, where the value of a function of several variables and its first-order Gateaux differentials at the...     

Estimates of Interpolation Accuracy of Polynomial and Integral Functionals in L 2(0,1)

A method of polynomial operator interpolation is developed for solving problems of nonlinear functional systems. Estimates of accuracy of interpolation of polynomial and integral functionals are obtained in L ₂(0,1) space for the case of their perturbed node values and approximate calculation of scalar products.     

Public attitude to the development of nuclear power industry and ecological risks (the case of the Tomsk region)

This article summarises the attitude of the population to the perspectives of nuclear power development in the region where there is a nuclear energy company. Various groups of citizens understand potential threats and benefits controversially. The article identifies the factors accounting for the division of opinion about development of nuclear energy and ecological risks. Some groups can participate in rational discussion on the issues of nuclear energy development.     

On the Accuracy of Polynomial Interpolation in Hilbert Space with Disturbed Nodal Values of the Operator

The interpolation accuracy of polynomial operators in a Hilbert space with a measure is estimated when nodal values of these operators are given approximately.     

Hermite–Birkhoff Interpolation Polynomial of Minimum Norm in Hilbert Space

Cybernetics and Systems Analysis - The Hermite–Birkhoff interpolation problem for a nonlinear operator in the Hilbert space is considered. For this problem, the theorem on the interpolation...     

Measurement of resuspended aerosol in the Chernobyl area. I. Discussion of instrumentation and estimation of measurement uncertainty

Results of measurements of the resuspended radioactive aerosols in the Chernobyl area are presented which were obtained soon after the Chernobyl reactor accident and in a European project in 1992-1993. The measurements were carried out with the intention of obtaining a data base for dose assessment of resuspended radioactive particles. Potential significant dose contributions may result from inhalation and secondary contamination due to resuspended radionuclides. In this first article of a series of three papers, the instrumentation and the measurement uncertainties are discussed. An effort was made to sample quantitatively giant aerosol particles (particles larger than 10 microns aerodynamic diameter) as well. The comparison of the samplers shows, in general, an agreement of concentration measurements of 137Cs and 7Be within a factor of two. One sampler was identified with larger discrepancies and needs additional investigation of its sampling characteristics; for another device, the recalibration of the analysing system is recommended. Ordinary integrating samplers have a loss of about 30% in 137Cs activity compared to an isokinetic sampler collecting giant particles as well. The mean ratio of 137Cs activity concentration between an instrument sampling only particles larger than 10 microns and an ordinary integrating sampler is 0.39 +/- 0.15 during anthropogenic-enhanced resuspension. These findings demonstrate the significant contribution of giant particles to resuspended airborne radioactivity. The results of this study concerning integral measurements during wind-driven resuspension proved to be in good agreement with previously published data on resuspension.