The purpose of this paper is to suggest some ways and mechanisms for creating long-term peace based on sustainable development of the world and the purpose of the work is to develop recommendations aimed at counteracting the emergence of dictatorial regimes that were legitimately established. Five common features of such dictators have been identified, namely: coming to power in a legitimate way, using manipulative technologies, openly declaring their aggressive intentions, gradually implementing their aggressive intentions, creating a military potential with the active participation of developed countries, including those with established democracies. The reasons for the creation of dictatorial regimes are substantiated, namely: the imperfection of electoral legislation, excessive conservatism of legislation, insufficient determination and timeliness of countering the strengthening of dictatorships, “national egoism”, the unscrupulousness of dictators in their foreign and domestic policies. It was determined that in order to actively oppose dictatorial regimes, it is necessary to: improve the system of elections to the highest positions and to the legislative bodies of the state, put a strong barrier against manipulative technologies and fakes, through the improvement and effective application of international legislation with the involvement of artificial intelligence, determine the strategy of relations with dictators in all directions in advance: economic, diplomatic, sports, scientific and technical, etc., establish the scope of relations in direct proportion to the index of democracy in a country with an authoritarian regime and, in order to prevent negative consequences on the economy and social condition of the society of one’s country, determine and carefully regulate import and export activities. It is proposed to start an indicator of the effectiveness of the head of state and an internal truth index of the head of state, as well as measures for moral stimulation of heads of state. As a result of the study, two root causes of threats to the existence of humanity were additionally identified, which directly affect the formation of dictatorial regimes. 1) The emergence on the basis of modern information technologies of a powerful system of manipulative technologies, the use of which leads to the power of future dictators. 2) Belated opposition of the democratic world to the formation of dictatorships. This is expressed in condescension to the initial illegal actions of future dictators, uncontrolled cooperation in the economic, political and humanitarian spheres. Two key mechanisms for achieving sustainable development and long-term peace are proposed.

In this study, we define the unrestricted Pell and Pell-Lucas quaternions. We give generating functions, Binet formulas and some generalizations of well-known identities such as Vajda’s, Catalan’s, Cassini’s d’Ocagne’s identities.

Introduction: With the adoption of the rural rehabilitation strategy in recent years, China’s rural tourist industry has entered a golden age of growth. Due to the lack of management and decision-support systems, many rural tourist attractions in China experience a “tourist overload” problem during minor holidays or Golden Week, an extended vacation of seven or more consecutive days in mainland China formed by transferring holidays during a specific holiday period. This poses a severe challenge to tourist attractions and relevant management departments. Objective: This study aims to summarize the elements influencing passenger flow by examining the features of rural tourist attractions outside China’s largest cities. Additionally, the study will investigate the variations in the flow of tourists. Method: Grey Model (1,1) is a first-order, single-variable differential equation model used for forecasting trends in data with exponential growth or decline, particularly when dealing with small and incomplete datasets. Four prediction algorithms—the conventional GM(1,1) model, residual time series GM(1,1) model, single-element input BP neural network model, and multi-element input BP network model—were used to anticipate and assess the passenger flow of scenic sites. Result: The multi-input BP neural network model and residual time series GM(1,1) model have significantly higher prediction accuracy than the conventional GM(1,1) model and unit-input BP neural network model. A multi-input BP neural network model and the residual time series GM(1,1) model were used in tandem to develop a short-term passenger flow warning model for rural tourism in China’s outskirts. Conclusion: This model can guide tourists to staggered trips and alleviate the problem of uneven allocation of tourism resources.

This paper foresees a critical analysis and development of a legislative proposal for the effective implementation of blockchain technology in Civil Mediation in conflicts in condominiums. This paper provides a legal analysis of personal, property rights and condominium disputes, applying blockchain technology for the purpose of self-executing civil mediation. This paper provides several solutions for conflicts in condominiums: Condominium Statute in blockchain, telematic attendance and voting systems, the self-execution of civil mediation agreements in conflicts in condominiums and Tokenization and IoT for property remote control in condominiums. The novelty of this research lies in the fact that, based on the experience of civil mediation in conflicts in condominiums, foreseen in US States and in other States such as Canada, Spain, the regulation is adapted for the correct application of blockchain technology for mediation in conflicts in condominiums.

Imagining people’s functions in everyday life and work without the use of ICT, seems difficult. Their application is ubiquitous everywhere, regardless of which aspect it is viewed from, because it has a strong function in ensuring the competitiveness of various systems at the micro and macro levels. Numerous national and multinational strategies try to encourage educational systems to put a greater focus on ICT to more efficiently acquire skills, competencies, and knowledge, which should represent added value to all generations in the future. This article analyzes the progress of the ICT development index (IDI) in Scandinavian countries by comparing these countries in the European region. It is known that the Scandinavian countries belong to that part of the countries that have recognized the importance of involving ICT in education programs, which improves the economy of a certain country. Given this, the research reveals how ICTs play a key role in improving socio-economic development in Scandinavian countries.