In the high-quality development stage, the data economy has become an important tool for achieving common prosperity. Using provincial panel data from 2011 to 2021 and treating the implementation of national-level big data pilot zones as a quasi-natural experiment, the policy’s impact on common prosperity was analyzed through a difference-in-differences approach. The results show that the policy significantly promotes the process of common prosperity. Further analysis reveals that the policy’s effect is more pronounced in western regions and large cities, with labor productivity acting as a mediator in this process.

Vertical joints are a key characteristic of loess, contributing to its strong anisotropies. This factor must be taken into consideration in engineering activities. The development mechanism of vertical joints in loess at great depths under the influence of dry-wet cycles was investigated, focusing on a highway tunnel passing through a loess irrigation area. The appropriate method was also explored for calculating this phenomenon. Through a comprehensive analysis of diffraction patterns and scanning electron microscopy, it was proposed that soluble salts in the loess play a key role in cementation. A significant amount of soluble salts dissolved in water and migrated downward during dry-wet cycles, disrupting the cementation of the loess. This results in a shift from point-to-point contact between soil particles to point-to-surface or surface-to-surface contact. Additionally, the recrystallization after migration leads to the development and expansion of fine pores in the loess. The continued expansion of the joint fracture volume also creates a pathway for further downward penetration of the water flow. This cyclical interaction between loess and water will facilitate the development of joint fractures at greater depths. The surface cracks and sinkholes in underground engineering activities carried out in similar strata are the visible signs of the progressive development of internal cracks in loess from the subsurface to the surface. The utilization of random joint mesh DNF in finite element software to convert joints into discrete, planar, and finite-size elements is a viable approach for representing the anisotropy of loess in calculations. It also introduces a new concept for the equivalent treatment of discontinuous problems using the continuous mechanics method.

Based on expert interviews, relevant literature research and practical experience, combined with the characteristics of the whole-process engineering consulting model, corresponding hypotheses were put forward and a model of the mechanism of constraints on the application of the whole-process engineering consulting model was constructed. Based on the PLS-SEM method, the mechanism model was verified. The verification results show that policy guarantee, market cultivation, service ability and social awareness all directly affect the application of the whole-process engineering consulting model, and the direct effects are policy guarantee> service ability> social awareness >and market cultivation. Market cultivation and service capabilities play a partly intermediary role between policy guarantee and the application of the whole-process engineering consulting model.

Based on the survey data of 1 457 farmers in Sichuan Province, the influence of social capital on farmers’ technical fertilization behavior was empirically examined, and the influence of green cognition on farmers’ willingness was analyzed to improve production and their influence on the decision of technical fertilization behavior. The results show that channel trust, social responsibility consciousness and green agricultural technology cognition have a significant influence on the willingness to improve production behavior. Social network, environmental pollution cognition, green agricultural technology cognition and production behavior improvement willingness have a positive influence on technical fertilization behavior, and a significant positive influence on technical fertilization behavior. Therefore, it is necessary to improve the channel trust of farmers, expand the social network of farmers, increase the quality and quantity of information acquisition, improve the social capital of farmers in multiple dimensions, strengthen the green cognition and technical production behavior willingness, and promote the adoption of farmers’ technical fertilization behavior.

In recent years, the construction industry has been in a downturn, and companies and employees are generally facing huge challenges. Improving employees’ job embeddedness is particularly important. However, current research is mostly based on ordinary enterprises and public service personnel, lacking the development of effective measurement tools for work embedding in engineering project contexts. Based on the interview content and literature analysis, interviews with seven experts in the field of engineering projects and a dimensional structure of work embedding in the project context were firstly conducted. Subsequently, following a strict scale development process, a preliminary set of organizational embedding consisting of 15 items and organizational embedding consisting of 7 items were established. After expert scoring and reliability and validity testing, the final scale consisting of 11 items and 6 items is formed, which is proven to have good reliability and validity, and can provide reference for the management and development of engineering project teams.

Green development and low-carbon transformation is the only way to develop the new quality of productive forces, and it is a profound systematic change, which is bound to have a profound and wide-ranging impact on China’s economy and society. The impact of the performance of listed companies in the low-carbon economy from the dual perspectives of game perspective and quasi-natural experiment of “low-carbon city pilot” policy was explored. The pilot policy promotes performance improvement through three ways, such as mitigating inefficient investment, improving financial status and alleviating financing constraints. Meanwhile, the impact of the pilot policy on corporate performance is heterogeneous across industries and business-age enterprises. Policy insights in the development of low-carbon economy to continue are provided to cultivate and promote new quality productivity, stimulate enterprise innovation, and improve the information disclosure mechanism.

Optimizing the business environment is an important prerequisite for promoting high-quality economic development. Based on the data of Zhejiang Province and its 11 prefecture-level cities from 2013 to 2022, the coupling coordination degree model was used to explore the coupling and coordination relationship between business environment and economic growth in Zhejiang Province as a whole and in each prefecture-level city. The results show that the overall level of coupling and coordination between business environment and economic growth in Zhejiang Province is increasing year by year. Among them, the coordinated development of Hangzhou and Ningbo is particularly prominent. The coordinated development level of Wenzhou, Shaoxing, Jiaxing, Taizhou, Jinhua, Huzhou and Zhoushan has been improved, but it is still insufficient. Quzhou and Lishui are still in a state of imbalance, and it is urgent to further optimize the business environment to promote coordinated economic development.

In the era of informatization, handwritten digit recognition has wide applications in computer vision and pattern recognition. In order to improve the accuracy and efficiency of handwritten digit recognition, four convolutional neural network (CNN)-based algorithm models were designed and tested. An empirical study was conducted on the MNIST dataset to compare the training performance of different models. The experimental results show that the multilayer CNN model performs best, with an accuracy rate of 98.9%, and each training cycle takes about 20 seconds. This indicates that increasing the number of convolutional layers and using high-level APIs help improve recognition accuracy, further enhancing the application performance of CNN in handwritten digit recognition. New insights and methods are provided for designing efficient and accurate handwritten digit recognition models.

Cities are important carriers of regional development, which can play a leading role in regional coordinated development, and the study of urban development level can better grasp the essence and direction of regional development. Based on the traditional gravitational model, a gravitational model was constructed to measure the gravitational strength between cities and the relative gravitational strength of a single city in Gansu Province in 2012 and 2022 with the help of relevant data of population, economy, society, ecology and transportation in 14 cities in Gansu Province, and the evolution of urban spatial gravitational network structure was analyzed. Based on the regional strategy of “one core and three belts” in Gansu Province, the study concludes that the core position of gravitational strength in Lanzhou is significant, and it has a driving effect on the surrounding cities. The Jiuquan-Jiayuguan area has become the sub-center of gravitational intensity, which has not had an obvious driving effect on the surrounding cities. There are significant differences in gravitational values among cities in different regions of the province. The gravitational network structure of urban space has gradually evolved from irregular to “pendulum-shaped” structure. The development of each city should formulate development strategies according to the actual situation of inter-city gravity and urban quality, so as to solve the current situation of backward development of the economic belt of the Hexi Corridor and the ecological function belt of the upper reaches of the Yellow River.

The spatial Durbin model was used to analyze the effect of green finance on high-quality economic development in 31 provinces(due to the lack of data, the statistical data mentioned here do not include the Tibet Autonomous Region, the Hong Kong Special Administrative Region, the Macao Special Administrative Region and Taiwan Province), municipalities and autonomous regions in China, and also to explore the role of green technology innovation in the influence of green finance on high-quality economic development. The results show that the effect of green financial development on economic high-quality development is positive. Green finance can promote high-quality economic development and has spatial spillover effects. Green technological innovation plays a partly intermediary role, and green finance can promote economic high-quality development through promoting green technological innovation. Finally, it is proposed to expand the green financial product system, make use of the spatial spillover characteristics of green finance, strengthen provincial and regional cooperation and enhance green R&D investment and patent protection.