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The paper focuses on the investigation and the simulation of the efficiency of a hybrid solar collector in a heat supply system consisting of two separate units, namely a heat storage tank and a flat solar collector, which are interconnected by pipelines. The study includes the analysis and calculation of the thermal parameters of the system for one day and the determination of the optimal values of the flow rate of the heat carrier in the solar collector and the mass of the heat carrier in the heat storage tank to achieve maximum thermal efficiency of the system.

The article presents the modeling mechanism of the error determination when making financial decisions in conditions of uncertainty and risk.  Researched modeling is based on using the assessing of the diagnosed level of enterprises' economic security with help of mathematical description and calculations of probability transitions matrix and using the research method, the method of direct and reverse interpolation, averaging, statistical and index method, root mean square error method, simulation modeling, probability theory method, matrix method, etc.  It has been studied that the most di

We consider waste management and management as an area of ​​ecological safety. As a result of the study, the ecological aspects of this branch of activity were analyzed on the example of the operation of the operating MSW landfill in the city of Kremenchuk. The prospective direction of the field of waste management in the region, as well as the state of its financing, are taken into account. Such dangerous factors in the operation of the municipal landfill for the environment as: pollution of groundwater and open dumps of the landfill have been identified.

This research examines the main approaches to visualization and modeling of key processes in the creation and testing of software in the domain of telemedicine, namely, such an application as a voice assistant to a doctor. Emphasis is placed on the use of UML diagrams at various stages of the software development life cycle, including requirements analysis, design, description of basic functionality, documentation, testing, etc.

The article presents theoretical and applied aspects of modeling the financial flows' impact on the diagnosis of the economic security level of the enterprise with the main components of security.  The functioning of enterprise's financial flow management models and the economic security level diagnostics applied models (the model of structural and functional diagnostics and the model of simulation modeling) are evaluated.  The economic security loan repayment influence model and a set of criteria for assessing the effectiveness of financial flows are considered.

The purpose of the research is to substantiate the need for the use of GIS technologies in the study of the illumination degree of garden and park plantings. The paper also focuses on the versatile relief characteristics of the territory of the National Arboretum "Sofiivka" of the National Academy of Sciences of Ukraine by conducting 3D modeling and creating digital models based on it. The models are determined by individual levels of insolation sections of the "Sofiivka" territory.

The jet and diesel fuels production line has been simulated using the universal simulating program ChemCad. The choice of the rectification process calculation module was substantiated. The Grayson-Streed and Lee Kesler models were used for the calculation of the thermodynamic system and the phase equilibrium of the multicomponent mixture. The model of an oil mixture distillation unit for jet and diesel fuels production has been developed.

Aim. Analyze the state of the branch of new Power skiving technology, the limits of its rational use, its advantages and disadvantages, to form the main directions of development of this method of tooth cutting and optimization of the structure and geometry of its cutting tool. Method.