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19

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## Publications

Publications (19)

Risk assessment is an integral part of an enterprise's quality management system. The risk of low quality products is the most significant risk, as it is directly related to the concept of enterprise competitiveness. The paper analyzes the scientific papers related to the assessment of the quality of products, processes and services, their disadvan...

The development of information technology contributes to the improvement of mathematical models of phenomena and processes in many scientific areas of the technical direction. In particular, modern methods of digital signal and image processing use algorithms with new information operators. Cubature formulas are constructed for the approximate calc...

The object of study is a numerical integration of the functions of several variables using new information operators. The cubature formulas of the approximate calculation of double and triple integrals for different information operators are presented. Information about function is given not only by the values of a function in nodes, but also as a...

The paper develops a method for approximation of the discontinuous functions of two variables by discontinuous interlination splines using arbitrary triangular elements. Experimental data are one-sided traces of a function given along a system of lines (such data are commonly used in remote methods, in particular in tomography). The paper also prop...

The food additive "Magnetofood", in the form of a nanopowder with particles the size of (70‒80) nm, has been designed and proposed as an improver for the structure of whipped desserts. "Magnetofood" can both independently form the structural and mechanical properties of whipped masses and influence a gel-forming agent, participating in chemical and...

Operators of approximation of the functions of two variables, interpolating the functions by their projections along M nonparallel lines, were not sufficiently considered in the scientific literature. At the same time, this theoretical problem has a strong practical interest when the given projections (integrals along lines) come from a computed to...

For improving the technology of scrambled dessert products, a food supplement, based on the nanopowder of oxides of two- and trivalent iron “Magnetofood” was introduced in the recipe composition. The object of the studies is base recipes: one of mousse “Cranberry” and sambuk “Apple”. For determining technological characteristics and quality paramet...

Any software development company encounters issues that need decision-making. At the same time, the use of reliable and proven methods of decision-making does not become a common practice in software companies worldwide. The issues here are the need for extra staff training, allocation of additional time, and inertia of the software industry. This...

Nowadays, methods for digital signal and image processing are widely used in scientific and technical areas. Current stage of research in astronomy, radiology, computed tomography, holography, and radar is characterized by broad use of digital technologies, algorithms, and methods. Correspondingly, an issue of development of new or improvement of k...

Paper proposes a new method and an algorithm for image processing in computed tomography. By given projections of a 3D body along mutually perpendicular lines, the method implements reconstruction of an internal structure of the body. The applicability of the method is illustrated on the example of reconstruction of the discontinuous lines in Shepp...

The paper presents a new method for the calculation of integrals of twodimensional irregular highly oscillatory functions for the case when information about functions is given on sets of lines. Estimation of the proposed method is done for the class of differentiable functions. © 2018 UPB Scientific Bulletin, Series A: Applied Mathematics and Phys...

Graphics Processing Units (GPUs) have become increasingly popular nowadays, giving exciting computational resources for the low-cost gaming gadgets. GPUs are also well suited for scientific applications, allowing researchers to accelerate computations and to improve the precision of mathematical methods. Paper describes a new version of Visual Envi...

The authors consider the cubature formula for the approximate calculation of triple integrals of rapidly oscillating functions by using Lagrange polynomial interlineation of functions with the optimal choice of the nodal planes for the approximation of the non-oscillating set. The error of the cubature formula is estimated on the class of different...

We considered and investigated cubature formulae for determination of the 3D Fourier coefficients with usage of interflatation on the class of differentiable functions. Information about function is specified by its traces on a system of mutually perpendicular planes. It was proved, that estimate of error of cubature formulae can be expressed by ce...