Deterministic polynomial-time root-finding algorithm for univariate polynomials with coefficients from k[x,y] where k is a field of any characteristic is constructed. Our algorithm can be viewed as an extension of the Roth-Ruckenstein's root-finding algorithm to polynomials from k[x,y][T].

The program module of Sudan determined list decoder for Reed-Solomon codes is developed. The block diagram and program realization of decoder are constructed. A part of the realization is based on the effective factorization algorithm of Roth-Ruckenstein.

In the paper various methods of updating of noiseproof codes are presented, computing experiments on research of characteristics of the modified noiseproof block binary codes are spent.

Conditions of the motion stability loss of a mechanical system interacting with a medium that is formed at a tribomating are discussed. Conditions of the formation and the role of dissipative, gyroscopic, potential and circulation forces that are formed at the friction node by the natural way have established.

The mechanism of expert system's fuzzy logic conclusion for decision making on technological adjustment of a combine harvester is considered.

Architecrure of expert system for technological setting up and trouble shooting for the units and systems of grain combine harvester is offered. Structure and composition of data bases of different sub-systems are considered.Used models for representation of knowledge are described.

Describing digital measurement device of kinematical parameters of electrical machines of technological equipment. The measurement device was worked out on base of modern microcontroller with realization of principle of separate architecture of system software.

Magic fourangle of microeconomics represents income - demand - substitution effect - supply. The article is devoted to an opening of interconnections betwen them. Practical application economic is entrepreneur's policy based on objective results of marketing.

In this article is considered model of the calculation of the optimized rates of the taxes on incomes of the natural persons. These rates are defined for each group of taxpayers and depend on level of their incomes. The use of this model provides the improvement of the social-economic situation of society, refusal of the «envelop» schemes of payments of the salaries, full budget execution. The article carries the theoretical nature. Model, which is described in the article, has a high level of potential efficiency from the practical application, which, in it's turn, requires legislative statement.

The article covers one of the formalization forms - axiomatization - and its role in the process of construction of mathematical theory and its foundations (abstract mathematical objects). Axiomatic method is used at the stage of systematization of acquired knowledge and is both the result and the means of mathematical knowledge consolidation.

The traumatic influence is considered from the three points of view: the first point - from the general characteristics of the clinical dynamics, the second point - from the pathological genesis of such disturbances, the third point - from the possibilities of diagnosis and therapy of the psychopathological consequences of extraordinary situations.

In clause polemic of the author with philosophy of a postmodernism concerning understanding of a category of the law is stated. Subject of polemic is denying by postmodernists of the social law, or «the great legend» as they name any generalization, called to explain the world acts. The author specifies theoretical defect and logic contradictions of the concept of philosophers - postmodernists and comes to conclusion that their theories, in turn, are not capable to do without conceptual generalizations. The positive moment of clause is ascertaining of an opportunity of practical use of the objective social law as analytical tool at research of public events.

The technique of definition of potentials of a zero charge of metals on size of wear process is developed at polarization with simultaneous ultrasonic influence in a regular one-, two-nuclear spirits and glycerin.