The article deals with mathematical methods in order to evaluate the level of development of countries. The analysis of indexes that traditionally applied for determination of degree of socio-economic development of separate regions is conducted.

Study crystallographic sequence of the phase transition in zirconium dioxide at heated. The transformation of monoclinic phase in tetragonal modification. The appearance of new anion vacancies, which form at evaporation of the oxygen from the lattice.

Description of models of gas purification from suspended solids in аVenturi scrubber subject to the pulsations of the gas flow. Development of a method of calculating the slip velocity between the fractions of particles including vibrations and movement.

The concept and structure, as well as the laws of functioning of the Unified Modeling Language, history of its development. Precedents and conditions of effective use case diagrams. Research of a example of computer simulation and evaluation of results.

An overview and an in-depth analysis of a management framework for developing cooperation between international higher education institutions. The key areas and strategic opportunities from the international higher education institution partnership.

Theoretical, practical aspects of differentiation of territories by the level of development of transport infrastructure. Description of classical approaches to the formation of estimates of the level of transport infrastructure and their disadvantages.

The experience of using the distance course "Digital Technologies for Teaching and Research" for primary school teacher training. Main functional domains of Next Generation of Digital Learning Environment are analysed which ensure its full implementation.

Consideration of the size effect in thin-film sandwich structures. Types of boundary conditions for dynamic polarization at the electrode-ferroelectric interface. The coordination of the crystal lattices of the electrodes and the ferroelectric layer.

The structural-functional model of formation of social competence of high school students by means of non-formal education is demonstrated, which provides interaction of blocks: target - outlines the purpose, tasks of formation of social competence.

The impact of futures indexes introduction on the volatility and market efficiency of the underlying assets. Investigation of the hedging of the futures. Relationship between the real estate U.S. futures index and American, European and Australian.

Fuzzy Sets and Systems. Classification of Objective Based Fuzzy Clustering. Structure Identification of the Fuzzy Functions for Classification Models. Modeling Uncertainty with Improved Fuzzy Functions. Parameters of Proposed Fuzzy Functions Algorithms.

Dynamics of corruption offences in Ukraine for the period 2017-2021. Model of information support for combating corruption within the framework of the state’s economic security management system. Key functions enabling the implementation of the model.

Analysis of sales of passenger cars, the factors of innovative activities of manufacturers and dealers that affect them. The main types of demand for cars: classical, Christmas and autumn. Sales forecasts popular brands in Ukraine passenger cars for 2014.

Mathematical methods of the allocating resources: proportional and priority. Development a software product that allows adjusting the budget. Production and proper management. Modelling of information systems for managing the resource allocation.

Consideration of the issue of creating pedagogical models using four types of pedagogical objects of e-learning. Pedagogical objects of e-learning, pedagogical models intended for their application as teaching tools in an adaptive e-learning environment.

General comparison of signaling and econometric approaches, arguments for and against each of methods to predict a banking collapse. Econometric approach of banking crises' modelling. Fitting the prediction model for banking crisis 2008-2009 in Russia.

The investigation are peculiarities of formation mechanism of temporal verb forms for projecting the action into the future. To describe the future action the Gothic language used forms of the Present tense involving phrase or upper phrase context.

Teaching model, consisting of a central system and a set of systems-satellites, which model the individual behavior of students. Petri nets as a form of simulation of discrete processes. The development of engineer methods of creation computer systems.

The acquaintance with the peculiarities of the spatial distribution of electromagnetic fields. The characteristic features of Electromechanical disintegrator. Consideration of methods of distribution of eddy currents in the working conductive camera EMD.

Assessment of the effect of macroeconomic indicators on the attitude of the population to the economic situation in their country. Analysis of factors of positive and negative influence on the public's assessment of the economic state of the country.

Assessment of the effect of the macroeconomic indicators on the attitude of the population to the economic situation in their country. The positive impact of the growth of the gross domestic product on public assessments of the economic state in the count

Mathematical description of aggregated models. The essence of the concept of estimating electronic circuits. The list of principles of computer-aided design of semiconductor electronics. Influence of the aggregation problem on parametric synthesis.

Interaction in agent-oriented systems. Separation of sets of agents into families in accordance with the tasks of the stages of situational management. Development of the model for the integration of behavioral and coordination aspects in agents.

The response of multistable economic systems to a weak periodic influence: advertisements, published experts views, weekly or monthly waves in time series of prices. Forecasts of the periodic response at appropriate noise level of economic systems.

The model formation of health-saving competence, which includes theoretical, substantive and procedural blocks, is considered. The theoretical unit is based on a pedagogical approach that allows for an in-depth analysis of students' needs and abilities.

The characteristics of the hierarchical growth of the current top management from the largest and best-known companies across the country. Analysis of the biographical data of top employees hired at the largest and best-known companies from Moldova.

Hedge fund research. Multifactor asset-pricing models. Hedge funds factor models. Data on asset pricing factors and descriptive statistics. Carhart four-factor model. Betting against beta. Quality minus junk. Analysis of regional focuses, asset pricing.

The stages of the standard operation of information and psychological war. The terminology used to describe the stages of the information psychological operation. Technologies of maintenance of voluntary subordination of mass and individual consciousness.

The article examines the main models of interaction between government, business and society in the practice of making managerial decisions on social investment. The factors that have a negative impact on investment activity in Ukraine are clarified.

Prerequisites of studying foreign experience with the purpose of forming a system of business education. The trends in the development of this direction in the context of the globalization of educational processes. Analysis of implementation models.