Vol 10, No 1 (2023)

The main result of the study is related to the conclusion having novelty of the analytical dependencies of finding a quantitative estimate of the uncertainty of random scattering of the average clearance and interference in the conjugations of the eponymous intermediate and extreme dimensional groups, the random scattering of the average size relative to the upper and lower acceptance boundaries at the tolerances intervals of the actual sizes of intermediate and extreme dimensional groups. The presence of measurement errors, random scattering of actual dimensions with а deviation of the shape of the real surface or profile with the splitting of the tolerances of actual dimensions into an equal number of dimensional groups has an impact on the reliability of measurement results and control of parts when completing and selecting by sorting them into an equal number of dimensional groups and with the appearance on the tolerances intervals of the actual sizes of intermediate and extreme dimensional groups of areas of probabilistic errors of the first and second kind in the case of an erroneous ecceptance of some defective parts as suitable and some of the suitable parts defective leads to random scattering of the average clearance and interference in the conjugations of the eponymous intermediate and extreme dimensional groups, displacements of the grouping centers of the tolerances of the actual dimensions of intermediate and extreme dimensional groups with respect to the middle of the tolerance of the actual dimensions, impossible to use all received for assembly of the parts when completing and selecting by sorting them into an equal number of dimensional groups. The main result of the study is related to the conclusion having novelty of the analytical dependencies of finding a quantitative estimate of the uncertainty of random scattering of the average clearance and interference in the conjugations of the eponymous intermediate and extreme dimensional groups, the random scattering of the average size relative to the upper and lower acceptance boundaries at the tolerances intervals of the actual sizes of intermediate and extreme dimensional groups.

The relevance of panoramic stitching is explained by the fact that powerful computers and image processing algorithms are currently available, which allow you to automatically stitch many images into a panorama with a high degree of accuracy and quality. This makes panoramic stitching an important tool for both professional photographers and amateur photographers, as well as in many other areas related to image processing and computer vision. The leading trend in the development of panoramic stitching is to improve the accuracy and speed of algorithms, as well as to expand the possibilities for working with large amounts of data. One of the directions of its development is the development of tools for creating interactive panoramic images and virtual tours. The paper proposes a method of absolutely automatic stitching of panoramic images using methods of invariant local functions for finding key points and their descriptors, projective transformation using the RANSAC algorithm, image alignment based on the calculation of homographic parameters of the camera, multi-band image mixing. To test the proposed method, a software prototype was implemented, photographs from the Huns exhibition at the M.N. Khangalov Museum of the History of the Republic of Buryatia were taken as experimental data. The results of the software prototype are panoramic images obtained based on the processing of these photos. The conducted computational experiments allow us to conclude that the results obtained show high accuracy when compared with the real world.

In this paper, the study of the movement of the universal joint using the quaternion formalism was carried out, the law of movement of the cross of the universal joint was established with a known law of rotation of the drive shaft. A method of visual interpretation of the law of motion of the crosspiece is proposed, using the mapping of unit quaternions into a three-dimensional ball with radius 2π.

The problem of change point detection in multiparametric technological processes having a normal distribution and consisting in a shift from a given value of the sample mean and sample variance is investigated. Various types of control charts are considered, which make it possible to effectively detect simultaneous changes in the mean value and variance in multiparametric technological processes. By the method of statistical modeling, an analysis of the comparative effectiveness of control charts is carried out, practical recommendations are given.

The article is devoted to research related to the processing of uncertainty by means of tensor algebra in complex dynamical systems. The “smart electronic hitch” system is considered as an example of a complex dynamic system. The use of such a system is especially important when organizing traffic in difficult conditions. The solution of this problem occurs under conditions of uncertainty that may appear at different levels of the traffic management process. To identify and study in detail the properties of uncertainty, the author suggests using a tensor model. The tensor model makes it possible to identify additional properties of uncertainty, the study of which is not available when using traditional formalisms to represent uncertainty. Using the tensor model allows us to study the spatial model of uncertainty, real and imaginary values of uncertainty, as well as uncertainty invariants with respect to various transformations of the coordinate system. The article proposes a classification of uncertainty in a complex system. Using the example of the organization of interaction of “smart” controllers in an electronic coupling, the author shows the results of applying tensor analysis methods of networks to obtain a computational base of an electronic coupling. Tensor equations provide efficient processing of big data, obtaining information in real time, the stability of the dynamic system to changes in the topology of the connection of controllers and changes in the soft and hard components of the connection. The results obtained in the article show that the tensor uncertainty model can be successfully implemented in a dynamic system of any complexity level.

One of the obstacles to the further development of the capabilities of high-speed measuring technology is the limitations of digital electronics in terms of the ADC control circuit. The paper proposes to use an alternative approach based on arithmetic in the system of residual classes, while discrete phases of harmonic signals are used as the basis for coding modular numbers. Before a high-speed ADC control scheme is implemented, it is necessary to theoretically justify the functioning of basic computing devices. The article discusses algorithms for the operation of a tabular arithmetic device and a phased key with a high rate of state change. A simple model of the computational path is given in order to focus attention on possible problems with the microwave signal. Modern achievements in the field of potential semiconductor and superconducting instrumentation are analyzed.

Within the framework of the density functional theory, comparative calculations of the total energy and electronic states of Cd_nSe_n nanoparticles with a structure of three types: wurtzite, sphalerite and NaCl were performed. It has been shown that for n ≤ 72, the formation of a NaCl type structure is energetically favorable. However, extrapolation of the energy values per Cd–Se atom pair shows that for n > 130 (corresponding to a size of about 2 nm), wurtzite-type particles can be more advantageous than particles with the NaCl structure. The electronic structure of Cd_nSe_n, Cd_nS_n, and Zn_nS_n nanoparticles, as well as CdSe/CdS and CdSe/CdS/ZnS quantum dots, has been studied. It is shown that the ZnS shell not only increases the band gap of a quantum dot, but also significantly increases the intensity of its emission due to the appearance of electronic states near the band gap.

This article discusses the possibility of early earthquake prediction using radon monitoring in conjunction with the method of detecting charged particles, which will allow more accurate prediction of the time of the event, with a more accurate indication of the epicenter of the future earthquake and will dramatically reduce such a drawback as false predictions.