Construction of a production function in the form of series of exponents of a function of a complex variable (on the example of the Czech Republic 2006-2021)

Economic and mathematical models allow researchers to find out the causal relationship between various economic indicators and determine internal and external factors of interaction. Production functions allow us to model the dependence of the dynamics of factors of production on the dynamics of economic growth. Interpolation of numerical series by the Dirichlet series makes it possible to achieve good results of approximation of numerical series by analytical functions . Public authorities need accurate and up-to-date information about the state of the economy in order to make effective management decisions. In the opinion of the author, interpolation methods in economic analysis are undeservedly relegated to the background. Therefore, within the framework of this study, the production function of the Czech Republic was constructed on the basis of interpolation of numerical series by series of exponents of a complex variable. Interpolation of numerical series by series of exponents of a multiplex variable allows to achieve an approximation accuracy not inferior to regression analysi

Brinks model of international trade of the Visegrad four countries in 2011-2020

Interpolation of time series by the sum of exponents of the function of a complex variable makes it possible to achieve an approximation accuracy no worse than using regression analysis. Despite the fact that time series are interpolated by functions of a complex variable, the values of these functions under certain conditions are real numbers. To calculate the interpolating function, the author used standard procedures used in the MATHLAB software. The absence of extremum points for exponents is the main advantage when using exponent sums for interpolation purposes compared to interpolation by polynomials.Numerical series characterizing the volume of exports and imports within the Visegrad four were approximated as a sum of sixteen exponents , which are functions of a complex variable

The use of complex variable functions in economic and mathematical models, using the example of the international trade model of the Visegrad four countries for 2000-2015

Interpolation of time series by the sum of exponents of a function of a complex variable gives an approximation no worse than using regression analysis. Despite the fact that time series are interpolated by functions of a complex variable, the values of these functions under certain conditions are real numbers. The imaginary component of complex numbers that occurs during calculations is several orders of magnitude smaller than the real part . The appearance of the imaginary part is due , in the author 's opinion , to the error of calculations and it can be neglected when interpreting the result of calculations . To calculate the interpolating function, the author used standard procedures used in the MATHLAB software. The absence of extremum points for exponents is the main advantage when using exponent sums for interpolation purposes compared to interpolation by polynomials

Expanded brinks model of international trade of the visegrad four countries in 2000-2015

Interpolation of time series by the sum of exponents of a function of a complex variable makes it possible to obtain a model that is not inferior to the accuracy of regression models . Although time series are interpolated by functions of a complex variable, the sum of these functions, subject to certain conditions, are real numbers. The standard MATHLAB software was used in the calculation process. The article presents an extended BRINKS model of international trade of the Visegrad Four countries (Czech Republic, Slovakia, Poland, Hungary). The numerical series characterizing the volume of exports and imports within the Visegrad Four were approximated as the sum of eight exponents, which are functions of a complex variable

Expanded brinks model of international trade of the visegrad four countries in 2000-2015

Interpolation of time series by the sum of exponents of a function of a complex variable makes it possible to obtain a model that is not inferior to the accuracy of regression models . Although time series are interpolated by functions of a complex variable, the sum of these functions, subject to certain conditions, are real numbers. The standard MATHLAB software was used in the calculation process. The article presents an extended BRINKS model of international trade of the Visegrad Four countries (Czech Republic, Slovakia, Poland, Hungary). The numerical series characterizing the volume of exports and imports within the Visegrad Four were approximated as the sum of eight exponents, which are functions of a complex variable

Expanded brinks model of international trade of the visegrad four countries in 2000-2015

Interpolation of time series by the sum of exponents of a function of a complex variable makes it possible to obtain a model that is not inferior to the accuracy of regression models . Although time series are interpolated by functions of a complex variable, the sum of these functions, subject to certain conditions, are real numbers. The standard MATHLAB software was used in the calculation process. The article presents an extended BRINKS model of international trade of the Visegrad Four countries (Czech Republic, Slovakia, Poland, Hungary). The numerical series characterizing the volume of exports and imports within the Visegrad Four were approximated as the sum of eight exponents, which are functions of a complex variable

Improving the methodological basis of assessing the competitiveness of a tourist region: the case of the regions of the Republic of Uzbekistan

In the article, scientific suggestions for improving the methodological basis of the evaluation of the competitiveness of the tourist area have been developed. In this, a methodology for evaluating the integrated indicator of the competitiveness of the tourist area is proposed based on the integration of sub-indices of a complex nature such as "State of socio-economic development of the region", "Tourist attractiveness of the region", "State of regional tourist infrastructure", "Potential of tourist resources of the region". Based on methodological approaches and information maintained by the State Statistics Committee of the Republic of Uzbekistan, the Ministry of Tourism and Cultural Heritage on regional tourism statistics, 83 indices integrated into 4 sub-indices were used to determine the integrated indicator of competitiveness of the tourist area. Based on the proposed methodology, the relative indicators of tourism competitiveness of the regions of the Republic of Uzbekistan were determined

Improving the Quality of Transport Services of Urban Public Transport

The modernization of urban transport requires new approaches not only in the organization of routes, but also the development of new forms of accounting for the number of transport services provided. Passengers expect from public transport to increase transport mobility, make trips more comfortable, and have routes that are convenient for them. To do this, it is necessary that it is also profitable for motor transport companies that serve the routes of urban public transport. The presence of low-demand and unprofitable urban public transport routes is not profitable for road transport enterprises and is an obstacle to their development

The impact of service maintenance on the quality indicator of manufactured products

To create conditions that ensure the competitiveness and high quality of products, an industrial enterprise should have a system for managing the quality of products. This should include product quality management at all stages of the production cycle. Product quality management should be comprehensive, involving the use of organizational, economic and technical measures. A comprehensive quality management system at an enterprise should be based on the quality standards adopted at that enterprise. The evaluation of the quality of the products produced from the point of view of its buyer is subjective and depends on the usefulness of this product to a particular consumer. It is advisable for an enterprise to track consumer preferences in order to make its products better from the point of view of customers. After-sales service is an important element in the way of promoting products on the market. The organization of effective service requires the coordination of technical, marketing and commercial activities, taking into account consumer preferences

Improving the Quality of Transport Services of Urban Public Transport

The modernization of urban transport requires new approaches not only in the organization of routes, but also the development of new forms of accounting for the number of transport services provided. Passengers expect from public transport to increase transport mobility, make trips more comfortable, and have routes that are convenient for them. To do this, it is necessary that it is also profitable for motor transport companies that serve the routes of urban public transport. The presence of low-demand and unprofitable urban public transport routes is not profitable for road transport enterprises and is an obstacle to their development