Kimmerle conjecture for the Held and O'Nan sporadic simple groups

Using the Luthar--Passi method, we investigate the Zassenhaus and Kimmerle conjectures for normalized unit groups of integral group rings of the Held and O'Nan sporadic simple groups. We confirm the Kimmerle conjecture for the Held simple group and also derive for both groups some extra information relevant to the classical Zassenhaus conjecture

Assessment of the Size of Rocks in Benchs and Lumpiness of the Blasted Mountain Mass on Pits with Use of Gis Geomix

On the basis of natural researches in career of SC Kovdorsky MCP and computer processing of their results in GIS GEOMIX was developed the photometric method of assessment of blocks (sizes) of breeds in the slope of ledges of a pit, the existing version of this method intended for assessment of lumpiness of mountain mass is improve

Deformations of the Retaining Structures Upon Deep Excavations in Moscow

Foundation trenches for the buildings having underground floors and vehicular traffic tunnels are excavated in Moscow in congested urban housing environment. A retaining structure is a “slurry wall” made of cast-in-place reinforced concrete), and “soil-mixed-wall”. Retaining structures of trenches are fastened with the help of anchors, metal tie-beams, struts or floor structures. During the monitoring performed at major Moscow construction sites with deep trenches the (NIIOSP) named after Gersevanov created a database on retaining structures deformations

Integral pattern of bench stability on all adjacent rock of open-pit mine in solid rocks

The article presents the integrated image of bench stability across the entire adjacent pit area on the basis of a probabilistic method to predict the azimuthangular parameters of cracks that limit the potential prisms of the pit bench collapse that are put in the final position, as well as those planned to be set to the limiting contour in the form of a software component as the part of the specialized geoinformation GIS system "Stability

Modern technologies for «music informatics»

This article reveals the contents of musical informatics as an academic discipline in the preparation of bachelors of teacher education. This discipline integrates patterns of information and music systems, causing the application proposed by the authors of modern pedagogical and information technologies for music informaticsВ данной статье раскрывается содержание музыкальной информатики как учебной дисциплины при подготовке бакалавров педагогического образования. Данная дисциплина интегрирует закономерности информационной и музыкальной систем, обуславливающие применение предлагаемых авторами современных педагогических и информационных технологий на занятиях по музыкальной информатик

Upper Cervical Spine Trauma: WFNS Spine Committee Recommendations

Craniovertebral junction (CVJ) trauma is a challenging clinical condition. Being a highly mobile functional unit at the junction of the skull and the vertebral column, traumatic events in this area may produce devastating neurological complications and death. Additionally, many of the CVJ traumatic injuries can be left undiagnosed or even raise difficult treatment dilemmas. We present a literature review in the format of recommendations on the diagnosis and management of different scenarios for upper cervical trauma and produce recommendations, which can be applicable to various areas of the globe.info:eu-repo/semantics/publishedVersio

Titanium compounds as catalysts of higher alpha-olefin-based super-high-molecular polymers synthesis

The synthesis of polymers of 10 million or more molecular weight is a difficult task even in a chemical lab. Higher α-olefin-based polymer agents of such kind have found a narrow but quite important niche, the reduction of drag in the turbulent flow of hydrocarbon fluids such as oil and oil-products. In its turn, searching for a catalytic system capable to produce molecules of such a high length and to synthesize polymers of a low molecular-mass distribution is part of a global task of obtaining a high-quality product. In this paper we had observed a number of industrial catalysts with respect to their suitability for higher poly-α- olefins synthesis. A number samples representing copolymers of 1-hexene with 1-decene obtained on a previous generation catalyst, a microsphere titanium chloride catalytic agent had been compared to samples synthesized using a titanium-magnesium catalyst both in solution and in a polymer medium

The method for rapid assessment of vehicle stability in traction mode

One of the important operational properties of a car that ensures traffic safety is the stability of the car. The loss of stability of the car is a negative phenomenon leading to the occurrence of road accidents. Currently, a number of electronic systems are used to eliminate the loss of stability of the car. But most of them are aimed at eliminating the loss of stability, and not at preventing this condition. Depending on the driving mode of the car (traction, free run), the stability of its movement is evaluated by various parameters. These parameters can be used to quickly assess the stability of the vehicle, but this requires adequate techniques that take into account the main parameters of the car that affect its stability when driving, as well as traffic conditions. The currently existing methods and expressions for calculating the stability parameters of a car have a number of assumptions. This does not reduce their value, but somewhat reduces the accuracy. The purpose of this work was to increase the stability of the car by developing a method for quickly assessing its stability in traction mode. In theoretical studies, it was found that the stability coefficient can be used to assess the stability of a car with all-wheel or rear-wheel drive. It is equal to the ratio of the stabilizing moment of the car to the perturbing one. If this coefficient is greater than one, the car will be stable. The expression for its calculation includes a number of design and operational parameters of the vehicle. Expressing from it the acceleration values corresponding to the values of the stability coefficient greater than one, we get the maximum permissible accelerations that ensure stable movement of the car. Based on this, a method of operational assessment of the stability of the car was proposed, which consists in comparing the maximum permissible accelerations of the car with the actual ones. To improve the accuracy of calculations of the maximum permissible accelerations, it is proposed to determine the height of the center of mass of the car depending on its actual mass using linear interpolation. The scientific novelty of this work is the proposed method of operational assessment of the stability of the car, based on a refined methodology for calculating the maximum permissible accelerations. To calculate the values of the maximum allowable accelerations according to the proposed method, a computer program was developed. The direction of further research is to assess the adequacy of the proposed method by conducting experimental studies

Refined method for calculating heading angles of a vehicle at the end of braking

Reducing the number of road accidents is an urgent task, the solution of which can be achieved, including by improving the design of vehicles. One of the most common causes of road accidents is the occurrence of a car skidding during braking with its subsequent exit from the traffic corridor. The effective development of new vehicle safety systems that increase its directional stability during braking and the improvement of existing systems is possible only if there are reliable methods that take into account the main parameters of the vehicle that affect its stability during braking. The currently existing methods and expressions for calculating the heading angles of a car at the end of braking have a number of assumptions that facilitate the calculations. This does not diminish their value, but slightly reduces accuracy. The purpose of this work was to clarify the methodology for calculating the permissible and actual heading angles of the vehicle at the end of braking. Within the framework of the work, theoretical studies have been carried out, based on the analysis of existing research on this topic. Based on the analysis performed, it was found that the existing methods and expressions for calculating the heading angle of a car at the end of braking do not take into account the effect of differences in the track dimensions of the front and rear axles of the car, and the center of mass of the car is conventionally assumed to be located on the longitudinal axis of the car. Evaluation of the influence of these parameters on the accuracy of calculations has not been carried out at present, there are no expressions for calculating the permissible heading angle of the vehicle at the end of braking. As a result of theoretical studies, a refined technique was obtained, including expressions for calculating the actual heading angle of the vehicle at the end of braking under various braking modes. The previously specified parameters are taken into account in the expressions obtained. An equation was derived to calculate the permissible heading angle of the car at the end of braking, taking into account the dimensions of the car, its location relative to the edge of the carriageway and the width of the lane. The refined expressions and the resulting equation that form the methodology for calculating the heading angles of the vehicle at the end of braking represent the scientific novelty of this work. To increase the efficiency of calculations according to the proposed method, a computer program has been developed. The direction of further research is to assess the adequacy and accuracy of the proposed methodology using the developed program