The Universal Coefticient Theorem in the Category of Fuzzy Soft Modules

This paper begins with the basic concepts of chain comlexes of fuzzy soft modules. Later, we introduce short exact sequence of fuzzy soft modules and prove that split short exact sequence of fuzzy soft chain complex. Naturally, we want to investigate whether or not the universal coefficient theorems are satisfied in category of fuzzy soft chain complexes. However, in the proof of these theorems in the category of chain complexes, exact sequence of homology modules of chain complexes is used. Generally, sequence of fuzzy soft homology modules is not exact in fuzzy chain complexes. Therefore in this study, we construct exact sequence of fuzzy soft homology modules under some conditions. Universal coefficients theorem is proven by making use of this idea

How Online Solutions Help Beat the Lockdown in Higher Education: A Central Asia Case Study

This chapter is aimed at summarizing the recent initiatives put in action for solving the problems in delivering the educational services in the Turin Polytechnic University in Tashkent, TTPU, after the lockdown, and the stringent measures taken by the Uzbek government in March 2020, for the pandemic explosion of the COVID-19 virus. The long-lasting connection between Politecnico di Torino, a European University, and this Central Asia Institution has been proven to be extremely effective, maximizing the benefits of TTPU in promptly offering online solutions for remote lectures, and the preparation of the technical substrate for both the exams and admission test which will be delivered after the completion of the second semester lectures. A summary of the IT tools adopted, with compact highlights of their features, as well as the qualitative feedback collected from the first courses offered with a reshaped structure suitable for online classes are thoroughly discussed in this work

The Innovation Technologies as Production Solutions in Mechanical Engineering on the Example of Enterprise in Uzbekistan

based on the basis of the production activities of JSC "Uzbek Geology Kydiruv", as well as in the first article, methods of diversifying production, achieving new economic results, as well as marketing are considered as a tool for managing an enterprise in its strategic planning. Unlike the first article, which describes the structure of production as a whole, this article discusses in more detail the issues that increase the efficiency of enterprise management, how to do it? What successful promotions will leave the company competitive and profitable? This article deals with the analysis of production management: a model for controlling the production process, identifying, analyzing and assessing risks. P.S.: Using publications: research papers based on assumptions and the application of their requirements to production, we will try to build our model of selective planning and enterprise management, using the example of specific factors that affect production in real time. We are undoubtedly interested in constructive criticism, opinions, comments, advice and just comments of our listeners and readers on this topic

About one differential model of dynamics of groundwater

When modeling the flow of groundwater and streams together, two different approaches are used, using hydraulic and hydrological models as channel flow models. The former is based on mathematical equations of water movement in open channels. In contrast, the latter is based on simplified empirical and semi-empirical relationships between the hydraulic characteristics of watercourses. In both cases, the watercourse is an internal boundary for the groundwater flow - otherwise, it is advisable to model it as a body of water. The groundwater model can be a scale model or an electrical model of the state of the groundwater or an aquifer. Groundwater models are used to represent the natural flow of groundwater in an environment. Some groundwater models include aspects of groundwater quality. Such groundwater models attempt to predict the fate and movement of a chemical in natural, urban, or hypothetical scenarios. Groundwater models can be used to predict the impact of hydrological changes on aquifer behavior and are often referred to as groundwater simulation models. Also, groundwater models are currently being used in various water management plans for urban areas. Because calculations in mathematical groundwater models are based on groundwater flow equations, which are differential equations that can often only be solved by approximate methods using numerical analysis, these models are also referred to as mathematical, numerical, or computational groundwater models

Analisis Kesalahan Siswa SMK dalam Menyelesaikan Soal Aljabar Berbasis Teori Kastolan

The concept of algebra is very important in learning mathematics, students' ability to understand advanced mathematics lessons depends on mastery of algebraic concepts. Therefore, it is necessary to analyze the errors that often arise when students solve algebra problems. The purpose of this study is to analyze the errors of vocational students in class XI in solving algebra problems. This research uses a qualitative method that is analyzed descriptively. The research subjects were 28 students of class XI with the object of research, which is the errors that arise when students solve algebra problems. The results showed that based on Kastolan's Theory, procedural errors occur most often, followed by technical errors, and concepts

The study of clinical effectiveness and tolerance of the treatment in the exacerbation of COPD

The article cites the results of the effectiveness of various medicamentous treatment regimens of 109 COPD patients in the stage of exacerbation. The findings revealed that the patients of all study groups experienced regression of major clinical symptoms under the influence of the administered treatment, but it was essentially different subject to the regimens of the treatment. Inclusion of Salmeterol+Flutikazone to the complex treatment of the exacerbation of COPD has a good influence on the clinical development of the disease and according to the evidence of effectiveness it excels standard basal treatment. The positive result of the treatment, and also the absence of the mentioned side effects quite clearly indicate high clinical effectiveness of Salmeterol+Flutikazone in the exacerbation of COPD.В статье приведены результаты эффективности различных режимов медикаментозного лечения 109 больных ХОБЛ в стадии обострения. Результаты проведенного исследования показали, что у больных всех групп наблюдения под влиянием проводимого лечения была отмечена регрессия основных клинических симптомов, однако она существенным образом различалась в зависимости от режимов терапии. Включение Салметерол+Флутиказона в комплексное лечение обострений ХОБЛ оказывает положительное влияние на клинические проявления заболевания, а по выраженности эффекта превосходит стандартную базисную терапию. Полученный положительный результат лечения, а также отсутствие выраженных побочных явлений достаточно убедительно свидетельствует о высокой клинической эффективности Салметерол+Флутиказона при обострении ХОБЛ

Thermal Barrier Coating Materials Review

The priority technological direction of thermal protection of hot section components, basically turbine parts is the development of thermal barrier coatings (TBCs) in order to improve the operational performance of aero gas turbine engines (GTEs). The application of this coating, which can lower the surface temperature of the substrate material and have high oxidation resistance, was of great importance. The focus of this paper is on choosing TBCs with lower conductivity and longer life than coatings used in industry today and on the study of the effect of TBCs with low thermal conductivity on the longevity and performance of the GTE. Although this type of coating consists of multilayers, here only an overview of the coating materials used in their top layer is given. This review is based essentially on the thermal and mechanical properties of these materials. Although there are many oxide materials that meet the specified requirements and are considered suitable for use as a ceramic top layer in the TBC system, the most promising one was selected. Compared to traditional TBC systems, it is a pyrochlore type oxide with very low thermal conductivity, high thermal stability, and some other advantages - Lanthanum zirconate (La2Zr2O7, LZ)

AN EXPLICIT ESTIMATE FOR APPROXIMATE SOLUTIONS OF ODES BASED ON THE TAYLOR FORMULA

In this paper, we consider a third-order explicit scheme based on Taylor's formula to obtain an approximate solution for the Cauchy problem of systems of ODEs. We prove an estimate for the accuracy of the approximate solution with an explicit constant that depends only on the right-hand side of the equation and the domain of the solution