In this paper, a methodology for benchmarking study of the market infrastructure development in regions of Ukraine is developed. As indicators for comparison, the number of active enterprises in the sectors that make up the market infrastructure was chosen. The suitability of standardization of output data by the standard deviation of the mean (Z-index) is grounded. The aggregation of standardized data is carried out by a simple arithmetic mean. The aggregated data are evaluated by two methods: ranking and grouping with irregular intervals.
The article critically analyzes four methods of evaluating the rating of commercial content of the Internet service, namely: "Just plus"; "Plus / Minus"; "Star"; "Combined". The basis of the development of the information service model is the "Star" method, since it provides a detailed evaluation with a fixed scale of values. The mathematical support of the "Star" method for calculating the content rating has been constructed and optimized.
The article deals with the main quantification methods of the system of checks and balances. Taking into account the main historical stages of the development of ideas concerning the functioning of the checks and balances system, on the basis of the comparative method, the main features of understanding the functioning of different aspects of checks and balances system by using mathematical methods are emphasized.
In this paper the Webometrics Ranking of World’s Universities and the position of Lviv Polytechnic National University in this ranking were analysed as well as universities’ positions improvement.
The paper describes the main factors influencing the design features of high rating resources according to the algorithms search engine Google. The analysis of known technologies and methods of evaluating online resources has been conducted, that made it possible to identify the factors that are the most important in the process of resource building.
This paper describes the design features of the high ranking of resources in the global Internet network, the analysis of known means of ranking estimation are presented, and the factors that shape their structure are analyzed. Indicators of search optimization are studied, which help to substantiate their use in the construction of Internet resources. Features of construction of information architecture and "bottlenecks" are identified that arise in the design process. The possible schemes of resources using a flat and deep architectures are analysed.