The fixed-point mathematical library refers to a highly optimized collection of high-precision mathematical functions primarily used for fast and high-precision real-time calculations. It can execute equivalent code written in the C language with floating-point format faster, while maintaining considerable accuracy. Current mainstream fixed-point mathematical libraries face issues such as being non-open source, having unknown models, incomplete basic mathematical operation functions, and insufficient precision. Therefore, designing an open-source, fast, more optimized, and high-precision fixed-point mathematical library will have a groundbreaking impact. It can not only play a crucial role in industrial control algorithms but also eliminate the dependency of domestic fixed-point MCUs on foreign library functions.This paper conducts research on fixed-point arithmetic for logarithmic functions, designs, and improves the implementation of fast logarithmic functions.Taking Q12 as an example, Simulation experiments and MCU experiments show that, in the Q12 format, the highest precision that can be represented by a 32-bit fixed-point number is 0.000244141. From the test results, it can be observed that for 98.15% of the test data, the computational errors of the two mathematical libraries are both smaller than the highest precision value. Both two logarithmic function computations can maintain good computational accuracy within the ARM microprocessor. In terms of computational speeds, the average computation cycle of the fixed-point logarithmic function designed in this paper is reduced by 31.88% compared to the counterpart. This substantial improvement in computational speed, while ensuring computational accuracy, enhances the performance of fixed-point logarithmic operations based on ARM microprocessors.

Traditional Chinese medicine (TCM) education plays a crucial role in advancing the construction of a Healthy China and the innovative development of TCM heritage. However, it currently faces challenges such as a lack of immersive experiences in online education, a disconnect between theory and practice, and the neglect of the study of classical TCM texts. The metaverse presents new opportunities for the transformation and growth of TCM education. It embodies three primary features: immersive experiences, novel technological integration, and the convergence of the virtual and the real, providing a fertile ground for empowering TCM education and fostering imaginative possibilities. In this context, we propose an architecture for TCM education in the metaverse and the coexisting application scenarios of the metaverse within TCM education. These scenarios encompass the use of virtual classrooms and virtual libraries. Additionally, we elaborate on the challenges that lie ahead in this transformative journey.

Technology enhanced learning is a new way of learning, which has broad prospects for development. With the continuous development and popularization of information technology, technology-enhanced learning has become a hot spot and trend in the field of education and teaching. However, there are some limitations and challenges to the impact of technology-enhanced learning on students' learning motivation. For example, students need to have a certain degree of autonomy and self-discipline. It can be seen that the study of the influence of technology-enhanced learning on English vocabulary learners' learning motivation can promote the development and application of technology-enhanced learning and promote the integration of technology and education. Finally, it can provide students with more high-quality and convenient learning experience and learning resources. Based on this, this paper studies the influence of technology-enhanced learning on English vocabulary learners' learning motivation.

Research on Ancient Residential Buildings in Shanxi Province usually divides Shanxi into five regions based on historical geography, agricultural zoning, and folk dialects: Jinzhong, Jinbei, Jinnan, Jindongnan, and Jinxibei. Within the Jinzhong region, different areas and historical backgrounds have unified common features in ancient residential architecture, yet each also possesses distinct characteristics. Local standards for architectural details exist, serving as indicators for determining the attributes of residential buildings. This paper aims to analyze and compare architectural decorations in the Jinzhong region, focusing on the decorative components of the Gable’s head, and study the variations in the characteristics of ancient residential buildings within the same region.

With the rapid development of digital technology and the advent of the era of "digital intelligence", it has become a new trend for art and design college students in Hebei Province to return to their hometowns for innovation and entrepreneurship. Based on the research on the innovation and entrepreneurship path of art and design college students in Hebei Province, this paper discusses the challenges, opportunities and development paths they face in the process of returning to their hometowns to start their own businesses under the background of "digital intelligence", aiming to provide practical guidance and enlightenment for this group.

In this study, Analytic Hierarchy Process was used to construct the environmental safety evaluation level of physical spatial layout, social environment guidance and security technical means as the evaluation criteria. In addition, using the complete evaluation index system constructed after the weight value is given, the environmental safety of the four research object urban parks in Fuzhou city is evaluated, and the comprehensive evaluation grade is divided. The results show that: 1) The each evaluation index in the criterion layer is ranked from high to low as physical spatial layout (0.4097), security technical means (0.3244), social environment guidance (0.2659); 2) In the factor layer, the top 5 places in the overall weight value order of the evaluation index factors are CCTV monitoring (0.1040), organization of social activities (0.0840), lighting (0.0827), plant furnishing (0.0806), mixed crowd (0.0743); 3) In terms of environmental safety construction of the four research object urban parks in Fuzhou city, the comprehensive evaluation results are that Wenquan park is in Grade I (Very Good), Xihu Park and Chating Park are in Grade Ⅱ (Good), and Wangzhuang Nanhu Park is in Grade III (Average).

In the modern urban and rural development environment, the impact of urbanization has led to blind development of rural areas and excessive artificial behavior. Rural revitalization and utilization can effectively solve the problem of mechanical and stereotyped use of rural resources. However, in the actual activation process, there are also problems such as good and bad, widely different evaluation standards, and neglecting the basics. This article builds a rural resource potential assessment system model to stimulate rural potential resources and highlight rural characteristic elements based on reasonable activation of the countryside. It integrates the natural ecology, local spiritual culture, and healthy life of the NPH concept into the assessment system, and gathers keywords through Cite Space. Through three stages: category research, IBM SPSS factor layer and indicator layer credibility and validity analysis, and AHP analytic hierarchy process screening, a rural resource potential assessment system model was constructed to provide direction for rural activation and utilization.

With the proposal of "accelerating digital development and building digital China", China is doing its best to lay out the transformation and upgrading of education digitization and intelligence. The rapid development of frontier technology has promoted the change of industry-education integration in vocational education. Combining with the background of the meta-universe era, we introduce resource dependency theory to analyze the relationship between society, universities, and government in talent training mode. The frontier technologies such as virtual reality, artificial intelligence, big data, digital twin, etc. are used to explore the integration model and opportunities of vocational education industry-education integration, while innovative descriptions and creative imaginations are made for the future talent cultivation model of metaverse vocational education industry-education integration. Based on the resource dependency theory, the relationship between the metaverse and the integration of industry and education in vocational education is revealed based on "how to cultivate cross-border talents in the metaverse". There are more possibilities for classroom teaching in vocational education supported by new equipment and cutting-edge technology, which is important for innovative ways of talent cultivation, exploring new modes of talent cultivation, and establishing strategic layouts of talent cultivation.

With the development trends of reform and opening up, modernization of education, and globalization of the economy, the importance of teaching Mandarin proficiency test (PSC) has become increasingly significant. At the same time, the development of course models for Mandarin proficiency test systems assisted by computer networking, AI technology, and mobile applications has emerged. Existing offline and online course platforms suffer from issues such as unsuitability of form, poor interactivity, and lack of universality, which hinder the widespread implementation of PSC courses. In light of this, based on thorough investigation and research, this paper, taking the "Special Textbook for Mandarin Proficiency Test" as a blueprint, combined with Mandarin teaching theory, designed and developed a PSC course model based on AI programs. The learning effectiveness of this model was experimentally tested, and statistical research methods were used to compare and analyze the experimental data. The experimental data showed significant improvement, which was in line with the expected results.

In recent years, mass entrepreneurship and innovation have been deeply integrated with economic and social development, which has played an important role in expanding employment and improving people's livelihood. At the same time, innovation and entrepreneurship education and practical courses have gradually been incorporated into the compulsory courses system of colleges and universities, providing some help to solve the employment difficulties of college graduates. However, in the process of gradually strengthening entrepreneurship education in colleges and universities, there are still many shortcomings in entrepreneurship education atmosphere, management and evaluation system, curriculum system, teaching methods and teaching staff. Therefore, colleges and universities should create an entrepreneurial culture atmosphere, construct a scientific entrepreneurial education management and evaluation system, "create and integrate" with practice, and build a scientific team of teachers to improve the quality of entrepreneurial education. This paper first points out the importance of entrepreneurship education in colleges and universities based on the background of mass entrepreneurship and innovation, then summarizes the practical difficulties of entrepreneurship education in colleges and universities, and finally proposes ways to promote entrepreneurship education in colleges and universities, hoping to inspire colleges and universities to continue to carry out entrepreneurship education.

As a traditional alcoholic drink and cultural symbol in China, Chinese Baijiu has developed and accumulated for many years, forming many world-class well-known brands such as Maotai, Wuliangye, Luzhou Laojiao and Langjiu. However, with the gradual expansion of Chinese Baijiu consumption industry scale and Chinese Baijiu consumption market, these brand Chinese Baijiu with high brand value and commercial profits were targeted by many counterfeiters, so that a large number of fake and inferior Chinese Baijiu products appeared in the market, disrupting the market. Due to the limitations of the current anti-counterfeiting and traceability technology, it is easy to be imitated and broken through by counterfeiters, making consumers unable to identify the authenticity of Chinese Baijiu products, which seriously infringes the interests of consumers and production enterprises. As a hot topic in many fields, big data can record information from one or more fields, forming a massive digital resource library with high utilization and research value. This project breaks through the traditional technical ideas, changes the single route, and designs and develops a traceability and anti-counterfeiting management system suitable for the field of Chinese Baijiu based on big data, combined with intelligent algorithms, integrating traceability, anti-counterfeiting, sales management and other functions. The key path of this system is one object dual code, digital coding, intelligent algorithms, multi client management, and front-end and back-end separation development.