Similarity classes of 3x3 matrices over a local principal ideal ring

In this paper similarity classes of three by three matrices over a local principal ideal commutative ring are analyzed. When the residue field is finite, a generating function for the number of similarity classes for all finite quotients of the ring is computed explicitly.Comment: 14 pages, final version, to appear in Communications in Algebr

Изучение процесса разгерметизации концевой

The investigation of the process of de-pressurization in high-pressure hoses under the thermal aging conditions by the evaluation of the de-pressurization pressure in the places of the arrangement of drain holes has been conducted.Установлена взаимосвязь между давлением разгерметизации концевой арматуры рукавов высокого давления в местах расположения на них специально высверленных дренажных отверстий, временем теплового старения рукавов и сроком их эксплуатации

APPLICATION OF INDUSTRIAL GAS TURBINE DIGITAL TWIN

The paper considers the concept of a digital twin of a technical device and the vision of this issue by various companies. The features of using digital twins of gas turbine plants are analyzed. The main goals and tasks to be solved by the digital twin of the gas turbine unit at the stage of operation are formulated.В работе рассмотрено понятие цифрового двойника технического устройства и видение настоящего вопроса различными компаниями. Проанализированы особенности применения цифровых двойников газотурбинных установок. Сформулированы основные цели и задачи, которые должен решать цифровой двойник газотурбинной установки на этапе эксплуатации

Self-organization of developing embryo using scale-invariant approach

<p>Abstract</p> <p>Background</p> <p>Self-organization is a fundamental feature of living organisms at all hierarchical levels from molecule to organ. It has also been documented in developing embryos.</p> <p>Methods</p> <p>In this study, a scale-invariant power law (SIPL) method has been used to study self-organization in developing embryos. The SIPL coefficient was calculated using a centro-axial skew symmetrical matrix (CSSM) generated by entering the components of the Cartesian coordinates; for each component, one CSSM was generated. A basic square matrix (BSM) was constructed and the determinant was calculated in order to estimate the SIPL coefficient. This was applied to developing <it>C. elegans </it>during early stages of embryogenesis. The power law property of the method was evaluated using the straight line and Koch curve and the results were consistent with fractal dimensions (fd). Diffusion-limited aggregation (DLA) was used to validate the SIPL method.</p> <p>Results and conclusion</p> <p>The fractal dimensions of both the straight line and Koch curve showed consistency with the SIPL coefficients, which indicated the power law behavior of the SIPL method. The results showed that the ABp sublineage had a higher SIPL coefficient than EMS, indicating that ABp is more organized than EMS. The fd determined using DLA was higher in ABp than in EMS and its value was consistent with type 1 cluster formation, while that in EMS was consistent with type 2.</p

The investigation of re-enforcement depressurization process in high-pressure hoses

The investigation of the process of de-pressurization in high-pressure hoses under the thermal aging conditions by the evaluation of the de-pressurization pressure in the places of the arrangement of drain holes has been conducted

New environmental reality in man-made risks context

© 2019 Kochneva et al. The relevance of the study is due to trends in the field of research interests to the dangers of man-made risks taking place in the environment. According to experts of the world Economic Forum (Davos, 2019) “man-made risks are concentrated in the field of environment and ecology and represent the dangers of chemical and biological pollution, nuclear accidents, forest fires, oil spills, etc.” In the study for the first time, as an independent scientific direction, an attempt was made of theoretical and methodical justification of approaches to countering man-made risks, which are dangerous for the sustainable development of the new environmental reality. In the course of implementation of environmental monitoring - the leading method of research, the theoretical and practical effectiveness of ethical values, principles and rules use of counteraction to man-made risks, which are dangerous for the sustainable development of the new environmental reality is proved. In this regard, this article reveals the prerequisites and patterns of sustainable development of the new environmental reality. The typology of man-made risks that are dangerous for sustainable development of the new environmental reality is established. Based on the results of the study, the model of ethical values, principles and rules of counteraction to man-made risks, which are dangerous for the sustainable development of the new environmental reality is substantiated and experimentally proved. The materials of the article have practical application and are aimed at assisting specialists who develop and implement into environmental practice the methods for analysis and evaluation of the effectiveness of technologies to counteract man-made risks in the field of environmental protection. The results of the study will also be useful in the practice of teaching courses of social ecology, social philosophy, political science, sociology and special disciplines of the Ministry of emergencies

New environmental reality in man-made risks context

© 2019 Kochneva et al. The relevance of the study is due to trends in the field of research interests to the dangers of man-made risks taking place in the environment. According to experts of the world Economic Forum (Davos, 2019) “man-made risks are concentrated in the field of environment and ecology and represent the dangers of chemical and biological pollution, nuclear accidents, forest fires, oil spills, etc.” In the study for the first time, as an independent scientific direction, an attempt was made of theoretical and methodical justification of approaches to countering man-made risks, which are dangerous for the sustainable development of the new environmental reality. In the course of implementation of environmental monitoring - the leading method of research, the theoretical and practical effectiveness of ethical values, principles and rules use of counteraction to man-made risks, which are dangerous for the sustainable development of the new environmental reality is proved. In this regard, this article reveals the prerequisites and patterns of sustainable development of the new environmental reality. The typology of man-made risks that are dangerous for sustainable development of the new environmental reality is established. Based on the results of the study, the model of ethical values, principles and rules of counteraction to man-made risks, which are dangerous for the sustainable development of the new environmental reality is substantiated and experimentally proved. The materials of the article have practical application and are aimed at assisting specialists who develop and implement into environmental practice the methods for analysis and evaluation of the effectiveness of technologies to counteract man-made risks in the field of environmental protection. The results of the study will also be useful in the practice of teaching courses of social ecology, social philosophy, political science, sociology and special disciplines of the Ministry of emergencies