The detection of urban expansion through digital processing of satellite images provides valuable information for understanding the dynamics of land use change and its spatial relationship with environmental factors. In order to apply or generate effective land-use planning policies, it is essential to have a historical record of the regional distribution of human settlements, an element that is practically non-existent in our country. For this reason, this text aims to determine the urban growth rate during the period 2000–2014 in the state of Hidalgo, Mexico, and to identify potential expansion zones from Landsat images. Six Landsat scenes were used for the spatial analysis of the state urban coverage and their relationship with the road influence area was evaluated. Two maps were obtained as cartographic products: one of urban coverage distribution and another of the municipalities with the greatest expansion, whose areas are located in the Valle del Mezquital region. However, Mineral de la Reforma, Tetepango, Tizayuca and Pachuca de Soto stand out for their growth rates during the study period: 183.44%, 102%, 94% and 68.5%, respectively. In total, the state urban area in-creased 72.3 km² from 2000 to 2014 with an average growth rate of 1.8% per year. Such growth was associated with the areas of influence of important road infrastructure, such as the Libramiento Arco Norte in Hidalgo. Therefore, the Mezquital Valley and the Mexico Basin are considered as potential regions for urban expansion in the state.

Under the background of new curriculum reform, the purpose of secondary education and cultivation has been changed to cultivate students' comprehensive and professional abilities. Applying lifelike teaching to the English classroom of secondary education arts and sports students is an effective means to stimulate students' learning interests and improve their English proficiency. Based on the analysis of the current situation of English teaching for arts and physical education students in secondary education, the article puts forward several strategies of English lifelike teaching in order to better improve the English quality of students in secondary institutions and promote the development of English education in secondary institutions.

With the continuous development of globalization, communication among countries around the world is increasingly frequent, and multicultural integration has become the mainstream of the development of the current era. Language, as the carrier of multicultural integration, is an important tool to promote international communication and integration, especially English, as an international language with the largest number of users and the widest range, has extensive practicability and communication. With the continuous deepening of China's reform and opening up, communication with foreign countries has become increasingly close. English has become a basic language skill that college students must master proficiently. The transformation of English education is an inevitable trend that conforms to the development of the times. However, in the current process of English teaching in universities, there are outdated educational ideas and methods, and English teaching and cross-cultural awareness cultivation have not been effectively combined, Causing a lack of interest in English among college students, the inability to truly apply learning outcomes to practical situations, and the loss of its true significance in English teaching. This article analyzes the important impact of the current multicultural integration environment on college English teaching, as well as the problems existing in contemporary college English teaching practice, and proposes targeted transformation paths for college English education in the context of multicultural integration.

Leadership behavior is a critical component of effective management, significantly influencing organizational success. While extensive research has examined key success factors in road management, the specific role of leadership behaviors in road usage charging (RUC) management remains underexplored. This study addresses this gap by identifying and analyzing leadership behavior dimensions and their impact on management performance within the RUC context. Using a mixed-methods approach, focus group discussions with industry practitioners were conducted to define eight leadership behavior dimensions: Central-Level Leadership Guidance (LE1), Local-Level Leadership Guidance (LE2), Central-Level Leadership Commitment (LE3), Local-Level Leadership Commitment (LE4), Subordinate Understanding from Central-Level Leadership (LE5), Subordinate Understanding from Local-Level Leadership (LE6), Work Motivation (LE7), and Understanding Rights and Obligations (LE8). These dimensions were further validated through a quantitative survey distributed to 138 professionals involved in RUC management in Vietnam, with the data analyzed using structural equation modeling (SEM) and partial least squares (PLS) estimation. The findings revealed that LE3 (Central-Level Leadership Commitment) had the strongest direct impact on management performance (MP) and mediated the relationships between other leadership dimensions and management outcomes. This study contributes to the theoretical understanding of leadership in RUC management by highlighting the centrality of leadership commitment and offering practical insights for improving leadership practices to enhance organizational performance in infrastructure management.

This study addressed the procedural aspects of the claim for civil liability for nuclear damage in accordance with the newly promulgated Law on Civil Liability for Nuclear Damage No. 4 of 2012 of the United Arab Emirates and the Vienna Convention. The study was divided into two main investigators; the first main investigator examined the parties to the claim for nuclear damage, which, in turn, was split into two main sections: the first section examined the claimant, and the second section examined the defendant. The second main investigator of this paper examined civil liability for nuclear damage, which, in turn, was split into two main sections: the first of which addressed the jurisdiction in the claim for liability for nuclear damage, and the second of which dealt with the time to initiate proceeding. The study based its conclusions on several findings and recommendations, the most important of which was to propose amendments to the Civil Liability for Nuclear Damage Act in line with the general rules of civil liability and the Vienna Convention.

Since the proposal of the low-carbon economy plan, all countries have deeply realized that the economic model of high energy and high emission poses a threat to human life. Therefore, in order to enable the economy to have a longer-term development and comply with international low-carbon policies, enterprises need to speed up the transformation from a high-carbon to a low-carbon economy. Unfortunately, due to the massive volume of data, developing a low-carbon economic enterprise management model might be challenging, and there is no way to get more precise forecast data. This study tackles the challenge of developing a low-carbon enterprise management mode based on the grey digital paradigm, with the aim of finding solutions to these issues. This paper adopts the method of grey digital model, analyzes the strategy of the enterprise to build the model, and makes a comparative experiment on the accuracy and performance of the model in this paper. The results show that the values of MAPE, MSE and MAE of the model in this paper are the lowest. And the r^2 of the model in this paper is also the highest. The MAPE value of the model in this paper is 0.275, the MSE is 0.001, and the MAE is 0.003. These three indicators are much lower than other models, indicating that the model has high prediction accuracy. r² is 0.9997, which is much higher than other models, indicating that the performance of this model is superior. With the support of this model, the efficiency of building an enterprise model has been effectively improved. As a result, developing an enterprise management model for the low-carbon economy based on the gray numerical model can offer businesses new perspectives into how to quicken the shift to the low-carbon economy.