A professional team of kindergarten teachers can guarantee the high-quality development of preschool education. In the process of professional development of kindergarten teachers, their professional development in different dimensions can usually be manifested in educational practice, which is related to the quality of kindergarten education and the development of children. Therefore, this paper first analyzes the current situation of the professional development of teachers in public kindergartens, points out the problems existing in the professional development of teachers, and hopes to promote kindergarten teachers to continuously improve their professional abilities and realize the sustainable development of the education team by exploring the path of professional development and training of teachers.

Introduction: It is universally accepted that the posteroanterior skull radiograph shows a lower degree of distortion than other radiographic images, so that measurements on it are considered reliable. Objective: To determine the percentage of distortion in the different facial regions of the postero-anterior skull radiograph. Methods: Thirty human skulls with their jaws were divided by three horizontal and four vertical planes into fifteen quadrants; there were ten in the skull and five in the jaw. On each of them a steel wire was placed in vertical and horizontal positions and their length (actual measurement) was measured. Each set was X-rayed in posteroanterior projection and the length of the wires was measured in the image (radiographic measurement). Results: It was not possible to measure in the lateral quadrants of the skull. The horizontal measurement in the right and left lower intermediate quadrants of the skull and in the intermediate and lateral quadrants of both sides of the mandible is not reliable; in the median quadrant of the mandible it is minimized; in the right and left upper intermediate and median quadrants of the skull and in the median of the mandible it is magnified. Vertical measurements in all quadrants are reliable; in the right and left upper intermediate and left upper and middle quadrants of the skull and in the right and left middle and lateral quadrants of the mandible it is magnified; in the lower intermediate and upper and lower middle quadrants of the skull and median of the mandible it is minimized. The least distortion for both measurements occurs in the upper median quadrant of the skull. Percentages of distortion are reported for each quadrant. Conclusions: Distortion is present in the posteroanterior skull radiograph and varies from one region of the face to another.

The country has vigorously promoted the work of school aesthetic education, which is a great opportunity and also a major challenge for the art major of Yili Normal University. At present, the quality of teaching in the art major is not very optimistic. How to ensure and improve the teaching quality of the art major is worth pondering. Based on the investigation of the current situation of teaching quality in the art college, this article identifies the factors that hinder the improvement of teaching quality, analyzes the reasons, and ultimately provides strategies to improve the teaching quality of the art major, providing effective reference suggestions to ensure the teaching quality of the major.

Given the large amount of railway maintenance work in China, whereas the maintenance time window is continuously compressed, this paper proposes a novel network model-based maintenance planning and optimization method, transforming maintenance planning and optimization into an integer linear programming problem. Based on the dynamic inspection data of track geometry, the evaluation index of maintenance benefit and the model of the decay and recovery of the track geometry are constructed. The optimization objective is to maximize the railway network’s overall performance index, considering budget constraint, maximum length constraint, maximum number of maintenance activities within one single period constraint, and continuity constraint. Using this method, the track units are divided into several maintenance activities at one time. The combination of surrounding track units can be considered for each maintenance activity, and the specific location, measure, time, cost, and benefit can be determined. Finally, a 100 km high-speed railway network case study is conducted to verify the model’s effectiveness in complex optimization scenarios. The results show that this method can output an objective maintenance plan; the combination of unit track sections can be considered to expand the scope of maintenance, share the maintenance cost and improve efficiency; the spatial-temporal integrated maintenance planning and optimization can be achieved to obtain the optimal global solution.

Competition in the telecommunications market has significant benefits and impacts in various fields of society such as education, health and the economy. Therefore, it is key not only to monitor the behavior of the concentration of the telecommunications market but also to forecast it to guarantee an adequate level of competition. This work aims to forecast the Linda index of the telecommunications market based on an ARIMA time series model. To achieve this, we obtain data on traffic, revenue, and access from companies in the telecommunications market over a decade and use them to construct the Linda index. The Linda index allows us to measure the possible existence of oligopoly and the inequality between different market shares. The data is modeled through an ARIMA time series to finally predict the future values of the Linda index. The results show that the Colombian telecommunications market has a slight concentration that can affect the level of competition.

The Modern Cities Program is the largest-scale urban development effort in the history of the country, with which the Government of Hungary aims to promote the simultaneous development of municipalities at the same hierarchical level. Its projects focus on the preservation of intangible and tangible cultural heritage, the transformation of urban public spaces and green areas into community spaces, the creation of institutions for sports and recreational activities, research and development, digitalization, projects for innovative and creative professionals, and public educational and cultural institutions. The study aims to analyze the funding granted for developing the cultural and creative sector of cities with county rights through the Modern Cities Program in the period 2016–2025, by comparing the size of their population, their strategic importance in regional economic policy and the relationship between the value of the cultural heritage with the amount of funding received. The paper unveils the distribution of grants over time and space, the modalities and proportion of grants, and the way the cities that has received grants align with the national strategy. This will also reveal a shift in the regional importance of the cities and their relationship. Until February 2024, the Government of Hungary has contributed more than HUF 322.6 billion (809.5 million EUR) to the implementation of 98 cultural and creative projects in 22 cities with county rights through its urban development support program that has been established for the development and regeneration of cities with county rights and to counter the dominance of the capital.