Due to reduction of centralized investments it is necessary to integrate small towns into the system of market relations. In this case a town with all its particulars is to be considered as a commodity. Peculiar features of residential area that constitute the basis of the context of historical and cultural potential of small towns may serve as an active part of their competitive advantage.

The paper considers traditions of town-planning culture at the residential building as a sustainable basis of the environmental variety of small towns.

Industrial buildings of various branches and periods of construction actively participate in so called dialogue of old and up-to-date architecture of the central parts in the cities. Taking into account unprofitability of some productions and requirements to develop the central parts of the cities the paper proposes differentiated approach to the prospects of the reconstruction of industrial building in order to realize the principle of continuity of urban space in time. In accordance with this approach industrial buildings obtain the possibility of continuous renovation and urban environment acquires stability in time and space.

The paper considers the main principles of one- and two-side strategic games. Two-side strategic problems are subdivided in games with rational behaviour and games against nature. The following main strategic principles have been applied: ordinary min-max principle, Wald’s, Hurwicz’s, Laplace’s, Bayes’s, Hadges-Lehmann’s rules, Savage criterion. The description of Levi 3.0 program is given in the paper.

In addition to description of the application program it is illustrated by the solution of the problem concerning multi-criterion evaluation and selection of construction site for a commercial object. In order to solve the problem a number of various methods have been applied.

Methodical design principles for cultural and tourist zones in small- and medium-size historical cities of Belarus include the following methods: methods for determination of cultural and tourist zone boundaries; methods for determination of cultural and tourist zone calculated capacity; methods for determination of calculated requirements in facilities intended for tourists’ service. The paper contains the recommended consequence of design task execution, calculated indices.

The mathematical model of the open vibro-acoustic system of the modernized machine tool cutting section is studied in the paper. The paper gives design, description and operational principle. A special non-linear law of unloaded end face vibrations is offered. The law gives more precise description of its interaction process with rigid base. Estimations of dynamic parameters of interaction have been made. The paper contains an analysis of motion law of the system and qualitative conclusions and values of power characteristics have been obtained.

In order to analyze chip crushing rate it is proposed to use a sieve analysis and methods of mathematical statistics which are applied in powder metallurgy, peat and coal industries and other branches. Estimation in fluctuation of chip size, stability of its crushing under various cutting conditions, materials and changes of machining conditions have been investigated on the basis of chip fractional composition. Distribution curves and histograms show dominant size of chips. The sieve analysis of chip crushing rate has been applied in deep drilling of steel and grey cast iron.

The paper studies laws of facing a central wheel profile of radial-plunger during its milling manufacturing. It has been revealed that it is possible to replace a periodic profile by a combination of direct lines and arcs of circles. It is rather easy to create this approximation with the help of electronic computer using Auto Cad media.

The paper contains the results of approximation of a central wheel profile with the number of teeth - 17, 34 and 50 for its operation together with a guide cam which is an eccentric of various diameters.

The paper considers the method which makes it possible to evaluate wear intensity and determine ultimate wear condition of a cutting tool at lathes with numerical programmed control by changes in entropy coefficient of the size stability of machined parts. The system of tool diagnostics and some results of the experimental investigations are given in the paper.

Traditional methods concerning calculation of dimensional chains do not solve the optimization problem which is connected with minimization of manufacturing expenses. The paper substantiates the possibility to use methods which make it possible to solve the problem of optimization of dimensional chains in accordance with a criterion ensuring the required precision of the end chain unit with maximum manufacturability of the components which specify the units.

The main types of basic structures of photoelectric zero-detectors which we have named, as paraphase photodetectors are considered in the paper. The paper gives analysis of operational principles, output characteristics and possible fields of application of such devices. The basic advantages of paraphase photodetectors are specified in the paper.

The paper reveals the necessity to use methods of kinematic interaction of transmission parts, units and gears in particular while modeling dynamic loading of transmission units of transport facilities. Diagrams of the algorithms that realize the mentioned methods are given in the paper.

Network model and algorithm for the solution of optimization problem concerning cargo transportation process within multi-terminal network in accordance with several efficiency criteria of transportation system operation have been constructed and elaborated in the paper.

The paper gives the algorithm that makes it possible to trace routes and cyclic routes of maximum carrying capacity of a transportation flow.

The paper presents definition of the problem and description of the algorithm concerning optimum planning of reactive power of electric power stations of the power engineering system.

The algorithm of the problem solution is developed with due account of corresponding limitations on allowable reactive power limits at some electric power stations.

The paper considers a conception and methods of system formation of production norms and standards. Scheme of Variant selection of corresponding system depending on factors of outside and inside conditions is logically substantiated. The paper gives classification of production norms and standards and its main features. The paper has determined criteria which make it possible to evaluate efficiency of economic activity of an enterprise on the basis of production standards.

History is a proper subject for realization of ideas of civil education which promotes to formation of more active civil position. On the basis of the experience accumulated in the process of history teaching the author of the paper points out several key problems which are to be given a special attention: periodization of the Belarussian history, genesis of a state, society, a family and a person.

The paper shows an invariant hierarchical model of individual consciousness. Each level of consciousness has a corresponding thinking with its specific features. The author defines development of individual consciousness as an expansion of its range.

The main purpose of the paper is to show the role of independent work for provision ,of high student’s progress in studies and his self-education as a demand of permanent perfection of the experience. The paper may be used for organization of teaching and educational work with students.