Том 8, № 2 (2021)

Cohesive energy Ecoh and bulk modulus B of large nanosystems Cn, Sin, Aln и Tin, were calculated in the workframe of the all-electron version of the orbital-free approach on the basis of the density functional theory: number of atoms n was varied up to 4096 for carbon and silicon, 23 328 for aluminum, and 2662 for titanium. Nanosystems were taken as fragments of corresponding crystals. It was found that Ecoh and B tend to their values known for bulk materials. Therefore, it was convincingly shown that our orbital-free approach could be used successfully for study mechanical properties of large nanosystems.

An integral emissivity (e.g. a degree of blackness,) is the most important characteristic that determines the intensity of a heat transfer by radiation. In a process of a various heat and power plants design, thermal protection for spacecraft, etc. one needs to know a temperature dependence of the degree of blackness ε(T) of the materials used. At present, a growing demand for the new structural and composite materials with specified characteristics and a controlled degree of blackness, are investigated and used. This paper presents a methodology for the degree of blackness definition of porous materials with low heat capacity. This methodology assists in a calculation of the temperature dependence of the ceramic composite material VMK-5 ε(T) = 0,0002867T + 0,114.

The purpose of the research. The article discusses the problem of efficient use of computational resources. Describes the hardware prefetching mechanism. The purpose of the study is to find a solution that provides the ability to evaluate the quantitative use of the memory area in a computer program. This, in turn, is necessary to improve the efficiency of using the hardware capabilities of the computer. Results. As a result of the study, the author comes to the conclusion that the desired solution is an algorithm for determining the intensity of access to data structures in a computer program. The article presents the terminology that explains the name of the indicators used in the algorithm, describes the mathematical model for calculating the indicator and its limitations. A system of equations expressing the range of values of the data access intensity indicator was formulated. A three-dimensional model and two two-plane graphs were constructed to obtain a complete picture of the perception of the range of values. A detailed description of the algorithm and the presented mathematical model of the final and intermediate calculations allow us to develop an automated solution for certain tools (for example, compilers) used in the development of a computer program. The author concludes that the obtained indicator provides a quantitative representation of the use of shares of information (data areas) in a computer program for the subsequent assessment of the effectiveness of the computer program and the data structures used. Based on the results of the assessment, decisions can be made on the conformity / non conformity of the proposed solution and the need to modify the computer program or the data structures used.

This article discusses a kinematic model of the problem of group pursuit of a set of goals. The article discusses a variant of the model when all goals are achieved simultaneously. In this model, the direction of the speeds by the pursuer can be arbitrary, in contrast to the method of parallel approach. In the method of parallel approach, the velocity vectors of the pursuer and the target are directed to a point on the Apollonius circle. The proposed pursuit model is based on the fact that the pursuer tries to follow the predicted trajectory of movement. The predicted trajectory is a compound curve. A compound curve consists of a circular arc and a straight line segment. The pursuer's velocity vector applied to the point where the pursuer is located touches the given circle. The straight line segment passes through the target point and touches the specified circle. The resulting compound line serves as an analogue of the line of sight in the parallel approach method. The iterative process of calculating the points of the pursuer's trajectory is that the next point of position is the point of intersection of the circle centered at the current point of the pursuer's position, with the line of sight corresponding to the point of the next position of the target. The radius of such a circle is equal to the product of the speed of the pursuer and the time interval corresponding to the time step of the iterative process. The time to reach the goal of each pursuer is a dependence on the speed of movement and the minimum radius of curvature of the trajectory. Multivariate analysis of the moduli of velocities and minimum radii of curvature of the trajectories of each of the pursuers for the simultaneous achievement of their goals is based on the methods of multidimensional descriptive geometry. To do this, the projection planes are entered on the Radishchev diagram: the radius of curvature of the trajectory and speed, the radius of curvature of the trajectory and the time to reach the goal. The optimizing factors are the set time for reaching the goal and the set value of the speed of the pursuer. This method of constructing the trajectories of pursuers to achieve a variety of goals at given time values may be in demand by the developers of autonomous unmanned aerial vehicles.

The purpose of the research. Development of methodological approaches to the study of the relationship between the state of the institution of intellectual property and the innovative activity of the industrial complex in the Russian context. Achievement of the goal is seen through the solution of the following tasks: Given a characteristic of the state of the institution of intellectual property in the model of open innovation; systematized the development trends of the intellectual property market in the Russian industry; modeling of the relationship between the development of the institution of intellectual property and innovation in industry has been carried out. Results. It has been established that the main source of remuneration in the intellectual property market is the innovation rent, which is the super-profits of the investor, innovator, innovation firm and innovation-active enterprise arising in the process of innovation diffusion. In this case, the sources of income can be: products and technologies, new business, specific assets, licenses, spin-off, subsidiaries, brands, individual stages of the innovation life cycle. In the Russian industry, there is an increase in patent activity, however, no stable dynamics in the development of the institution of intellectual property has been revealed. The level of manufacturability of production of industrial enterprises directly correlates with the level of intellectual property objects used and the applications filed for the issuance of titles of protection for the results of scientific and technical activities. There is no direct positive relationship between indicators of innovative activity in industry and indicators characterizing the state of the institution of intellectual property. However, time lags were revealed between the increase in the number of intellectual property objects used by industrial enterprises and the subsequent increase in the share of shipped innovative products - 3 years, as well as between the increase in the number of intellectual property objects used by industrial enterprises and the subsequent increase in the share of costs for technological innovation in general. the volume of shipped innovative products - 5 years.