Relative to demand, resources are always scarce, so people need to integrate and efficiently use the resources so that they can somehow meet demand. The development of higher education and the school-running activities of universities also conform to this law. As public institution, colleges and universities took care of teaching and research activities, and they do not directly produce material products with independent legal status like companies. However, according to the process of resource input, resource use and outcome output, it can still be regarded as an educational enterprise that uses resources to obtain learning outcomes. Therefore, colleges and universities also face cost problems similar to those in companies . Here we try to find out the ways and means to control unnecessary costs in the process of running colleges and universities while ensuring the quality of talent training, improving the efficiency of resource use, and improving the efficiency of running schools, which are important issues facing the development of colleges and universities . The current situation of college education and the cost in the process of running a school have highlighted the necessity and urgency of scientific cost control, which are mainly manifested in the following three aspects:
Firstly, the total amount of educational resources has increased, but education funding continues to be in short supply. With the rapid development of China's economy, the society's demand for higher education is increasing and the requirements are getting higher and higher, prompting the rapid expansion of the scale of higher education.
Secondly, we have to deal with the financial crisis of colleges and universities. According to the ‘Year: Analysis and Forecast of China's Social Situation’ issued by the Chinese Academy of Social Sciences, the number of students in China's regular colleges and universities has doubled during the year. Colleges and universities want to achieve leap-forward development by expanding enrolment and the scale of running schools. Many colleges and universities have successfully upgraded to universities with new houses, old teachers and a large number of students, blindly increasing the subject categories, and there are both engineering and science colleges . The strange phenomenon of journalism and advertising has also come into play. Local governments are more motivated. Officials in many regions apply urban management and market operations to the management of colleges and universities, and they do not hesitate to invest huge sums of money to develop college parks and college towns, hoping to use the development of higher education to stimulate the economic development of a region, and even promote the comprehensive development of a city's society, technology and education. As a result, the popularisation of higher education , the gross enrolment rate, and universities with 10,000 people have become the boasting achievements of local governments. The bank has found a group of large customers without major risks and can provide loans to colleges and universities with confidence. After the extreme expansion, the sequelae of college loans subsequently appeared. College funds were limited, the loan period was short, and short-term loan repayments were impossible. The scale of some college loans greatly exceeded the economic capacity and colleges were unable to repay loans. As the country raised bank interest rates, some schools found it difficult to even repay the interest. Tight funding has affected the quality of higher education . To repay loans, some colleges and universities have to reduce student funding and office funding. Many school students could not take experimental courses, had no money for internships and the quality of education could not be guaranteed.
Cost refers to the sum of all actual resources consumed to engage in an investment plan. Under the conditions of a market economy , the cost is a part of the value of commodities, materialised labour and living labour consumed in the production of commodities. With the transformation of the social-economic system and the transformation of people's educational concepts, the cost of education began to be involved when studying the economic benefits of educational investment, so we introduced the cost of economics into the field of education to use the concept of education cost . Education cost refers to all the expenses paid by each student, including the direct and indirect expenses borne by the government, society, schools and educated individuals. The cost of higher education refers to the total cost of training each college student, that is, the sum of direct and indirect living labour and materialised labour consumed by students of various types of colleges and universities during their studies. Specifically, the cost of higher education includes the direct and indirect expenses paid by the government, society, schools and educated individuals to train students . Therefore, the cost of higher education is the subordinate concept of the cost of higher education, that is, the total value of materialized labour and living labour consumed by each student in the stage of receiving higher education , and the value consumed to maintain personal life needs. The cost of higher education is the direct social cost of higher education, and it is the actual cost.
To conduct an in-depth analysis of the cost of a college education, many scholars have classified the cost of a college education. Since it is a classification, there must be a certain classification standard . For example, according to the burden of the education cost or the source of education funding (social, personal), the nature or function of the education resource (recurring, capital), the use of the education resource, the material), the technical characteristics of the education resource (fixed, variable) And other standards for classification. Concerning the merits of various education cost classification methods, this research proposes the classification of college education costs. This classification conforms to the essential connotation of education cost and reflects the composition and its function. It should be noted that the opportunity cost here includes not only the income loss of capital assets but also the income loss of non-capital public funds and personal funds. In most of the literature, the educational opportunity cost does not include the above-mentioned non-capital public funds and personal capital loss. This research adopts the ideas of Han Zongli and Gao Jianmin and incorporates them into opportunity cost. It is because they are of the same nature as the loss of capital assets. Since the income loss of capital assets is included in the opportunity cost, they should also be included in the opportunity cost. You cannot simply add up school costs and personal costs to get the total financial cost, because there are also several duplication problems. They are mainly the duplication of tuition and miscellaneous fees and school costs in personal costs. The actual total financial cost is the addition of tuition and miscellaneous fees and the two .
How to reduce the waste of resources and improve the efficiency of resource utilisation based on controlling the cost in the process of running a university and ensuring the quality of talent training are the major problems facing the development of universities. However, the many problems in cost control in the process of running colleges and universities now highlight the necessity of scientific cost control.
Education cost is a comprehensive reflection of resource consumption in educational economic activities of colleges and universities. It reflects school teaching! The comprehensive index of work quality also directly reflects the level of management and school-running efficiency of a school. If colleges and universities can use the same amount of cost input to produce more benefits, it should be said that this school has a better management level and higher school-running benefits. Source, distribution, use and supervision of funds are important factors in the function of school management. The quality of teaching, the level of teaching management and the strength of scientific research capabilities can be directly or indirectly reflected through costs. It can be said that education cost is an important indicator to measure the level of school management.
In a century, western economists applied the investment-cost-benefit analysis to education. Cost-benefit analysis is also the most effective way to improve the efficiency of school management. Through the cost analysis of school teaching and storage, we can find problems in school management and management, find out the weak links in management, improve all aspects of work, and ensure that the limited teaching and storage resources can be used to maximise their functions, thereby effectively improving the school-running benefits.
Education cost investment is not only a consumer investment, but it also has the same problem of investment efficiency as enterprise investment. When making decisions, college leaders must consider many aspects and analyse various influencing factors. Especially when funds are short, it is necessary to focus on analysing the investment benefits of various decision-making programmes. The benefit is related to the cost. Only when the output is greater than the cost of the input, can the university obtain the benefit of running a school. At the same time, for the entire school to obtain good school-running benefits, the limited educational resources must be tilted towards high-efficiency sections, to realise the optimal allocation of resources and ensure the high-efficiency of educational resources input. It can be seen that education cost is an important basis for the allocation of educational resources, and it can provide a scientific basis for educational cost investment decisions. Therefore, it is very important to choose decision-making schemes carefully, evaluate them reasonably, and effectively improve them.
From the perspective of educational economics, resources are scarce, and colleges and universities face the problem of striving for more educational resources and use them effectively in the development process. The result of this problem is that the total amount of educational resources has increased, but the education funding is still in short supply, and the efficiency of the use of educational resources in colleges and universities is low. All these affect the healthy, sustained and stable development of our country's higher education. Education cost is an important indicator to measure the management level of a university. Education cost control is an important means to improve the efficiency of running a school. Education cost is an important basis for formulating tuition fees. Education cost is also an important basis for educational cost investment decisions. Therefore, the solution to the education cost problem is of great significance to the improvement of the management level and the efficiency of the university.
According to the theory of ‘education cost sharing’ put forward by New York University President D. Bruce Johnstone in 1986, the educational cost of colleges and universities should be shared by the government, society and educated individuals. In fact, the educational fees of colleges and universities are only shared by educated individuals. The cost of education is related to the cost of education. According to the principle of supplementation and affordability of education fees, we believe that the main influencing factors of college education fees are the charging standard (which is reflected by the education cost shared by the educated) and the inability of poor students to pay up tuition fees arrears). Now, based on this, we set the number of enrolment of colleges and universities N as a continuous variable, and the number of enrolment of colleges and universities is
In this section, we mainly use qualitative analysis (2) and (4) to find a solution to the problem of college education fees. From model (2), it can be seen that the sufficient and necessary conditions for college education fees to be constant are
At present, China limits the upper limit of the proportion of education costs shared by individuals to 25%. In fact, the proportion of poor students in colleges and universities has exceeded 30%. This is an imbalance. The objective reason is that the cost of higher education is difficult to calculate and easy to charge. The standard exceeds the upper limit of the proportion of education costs shared by individuals, or part of the government investment is compensated through fees. Therefore, under the condition of expanding the enrolment scale of colleges and universities, increase the government's education funding investment from policy measures to preferentially encourage and attract social donations to run schools. Solving the ability of poor students to pay in the form of student loans, scholarships, work-study, etc. are all solutions to achieve equilibrium and solve the problem. Further, according to the function extreme value judgement method, we still have colleges and universities that keep the education fees unchanged as follows with sufficient conditions:
From model (4), it can be seen that the necessary and sufficient condition for the education charge This is another kind of equilibrium. It requires (6) that there is a positive root When
Under other conditions, the educational fees
From model (4), it can be seen that the necessary and sufficient condition for the education charge
This is another kind of equilibrium. It requires (6) that there is a positive root
Under other conditions, the educational fees
In this section, we turn to the analysis of the basic models (2) and (4) of college education fees under several special functional forms, and give some new conclusions and suggestions on the macro-control issues of education fees and enrolment scale. In the case of free education (
For the sake of simplicity, under the condition that the per capita education cost shared by individuals increases with the increase in enrolment, we set
Under the condition that the per capita education cost shared by individuals decreases with the increase in the number of enrolled students, we assume
Under the condition that the per capita education cost shared is a bounded function of the number of enrolment, considering the previous two situations, we assume
In the previous section, the several college education charging models in the form of special functions we gave each have their own advantages and disadvantages. If you maximise your strengths and avoid weaknesses, you can consider appropriately combining them, then you can get many extended models.
Imagine that colleges and universities consider adopting corresponding education charging models according to different enrolment numbers. Then, we can mix and connect two or more models to adjust the college education charging methods according to the number of people, such as
Imagine that colleges and universities in different (regions) all adopt the same charging model, and there is a certain mutual influence between them, then we can integrate more than two models, such as the Logistic model that mainly considers the second-order nonlinear coupling. Study the synchronisation of the scale of enrolment and charging standards in different (regions) universities.
Due to the imbalance of economic and social development, different colleges and universities adopt different charging models, which has led to the unfair phenomenon of education fees and the scale of enrolment. To promote education fairness and build a harmonious society, the government needs to be If we introduce the control variable a(N) that changes with the number of students enrolled, and consider the linear feedback control between two different models, then we can get a three-dimensional differential equation model. For example,
This article mainly proposes two basic differential equation models (2) and (4) to describe the issue of university education fees. Through qualitative analysis of these two basic models, several conditions for universities to maintain or stabilise their education fees are obtained; through analysing several special models of models (2) and (4) in three situations, we arrive at some new conclusions and suggestions on the macro-control of university education fees and enrolment scale. This article also proposes three extended differentials equation models, and further research results on these models will be published in a separate article. In addition, we will also consider using the new results of the literature to study the issue of higher education fees.
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Digital Regeneration and Database Construction of Hunan Embroidery Needlework under the Perspective of Artificial Intelligence Research on the practice of innovation and entrepreneurship education in universities under the environment of big data Application of digital technology in environmental art design Research on the evaluation system of tourism management classroom teaching based on multimedia big data analysis The application of ARCS motivation model in college oral English teaching A digital teaching model for jurisprudence courses based on a linear regression model Research on Innovation of Translation Teaching and Translation Strategies for College Students in Multimedia Background Under the background of ideological and political education, the path optimization of college students’ consumption outlook education based on AdaBoost model A multi-channel convolutional neural network based on attention mechanism fusion for facial expression recognition Exploring the development of cultural and creative tourism under the perspective of ecological theory of tourism destination management Modeling Analysis of User Consumption Data of Internet Culture Industry in the Context of Emerging Technologies Reference: An algorithm for recognizing the main melody of orchestral music based on artificial intelligence of music melody contour English-Chinese translation strategies based on BERT and multi-similarity fusion of English and American literature Design of an enterprise accounting system based on decision tree model Analysis of Ethnic Elements in Xinjiang Music Works Based on PPM Model under the Perspective of “One Belt, One Road Design and implementation of a virtual teacher teaching system algorithm based on facial expression recognition in the era of big data Legal risk assessment of enterprise labor dispatch employment under clustering algorithm Application of random forest algorithm in the detection of foreign objects in wine Design and implementation of a process-aware accounting information system to improve business process management Application of ELM algorithm-based generative adversarial network model in network security Application of genetic algorithm in model music composition innovation Exploring the Practice of Cultivating Business English Talents from the Perspective of Artificial Intelligence The construction of a practical platform for party building and ideological and political education based on information fusion A study on the influence of the spread of Yangming Studies in Japan on the psychology of the Japanese people based on big data analysis Research on personalized recommendation algorithm for micromechanical sensors based on cloud model Research on the value of modern vernacular literature in contemporary rural construction based on ADDIE model Robust speech recognition based on deep learning for sports game review The impact of the financing structure of cultural enterprises on enterprise value under the ACC payment model Model Construction of Influencing Factors of Physical Education Core Quality Cultivation Based on Multiple Linear Regression Research on the operation and management mechanism of cross-border e-commerce shared practice training base Strategies for improving Chinese language proficiency based on artificial intelligence technology The success rate model of college students’ new entrepreneurship based on nonlinear differential equations Research on the application of marketing strategy of national fitness exercise and dance events in the construction of sports culture based on big data technology Strategies for constructing mathematical models of nonlinear systems based on multiple linear regression models Design of reduced-current overcurrent protection circuit based on GBDT model Analysis of Liability for Defective Capital Contribution of Company Shareholders Based on Discrete Regression Algorithm Analysis of the Factors Affecting Innovation and Entrepreneurship of College Students Based on TRIZ Theory Optimization of talent training path of broadcasting and hosting art based on matrix model Research on the path of enterprise management innovation based on multiple logistic regression model Analysis of Folklore Sports Tourism Resources Development and Protection Strategies under the Management of Rural Revitalization Strategy in the Background of Big Data A Hidden Markov Model-Based Network Security Posture Prediction Model A Modern Communication Path for Traditional Chinese Cultural Design Concepts Based on AdaBoost Model Exploring the development trend of digital media fashion illustration art based on the content analysis method The impact of CS structured computer-assisted translation system on English linguistics teaching in universities The integration of traditional culture and educational drama for young children based on the AdaBoost model Research on innovative system development of university art education in the era of big data Research on the innovation of ideological and political education theory and practice in colleges and universities under the background of big data Study and analysis of wastewater treatment in the refining and chemical industry based on multidimensional data analysis Exploration and practice of combining theoretical teaching and practical teaching to implement course Civics in the context of big data--Take “Microbial Pharmaceutical Technology” as an example The development and application of virtual practical teaching based on a clustering algorithm in the development and application of a resource library of college Civics courses Research on Ideological and Political Practice Teaching based on VR technology in the Information Age Innovative talent cultivation strategies for teaching traditional culture and language and literature based on information fusion technology Research on the optimization and practice of mathematical modeling curriculum systems based on the perspective of big data Exploring the model of laboratory construction and optimization to promote the transformation of research results in the context of big data Research on the integration of non-traditional culture and contemporary visual design based on virtual reality technology Research on AGV cart control system based on fuzzy PID control A study on the landscape evaluation of sculpture vignettes in residential areas based on SBE Research on the cultural innovation system of the old industrial base of Northeast China under the environment of big data Deep learning algorithm-based wearable device in basketball motion dynamic analysis Research on the integration of curriculum thinking and politics into the construction of grassroots party building and nurturing work under the perspective of Internet+ Research on the reform and practice of thinking and teaching of computer network technology course based on ant colony algorithm Effect of post-welding coating process on the organization and properties of MIG-welded T-joints of 6063-T6 aluminum alloy Designing the presentation of Dunhuang fresco art based on perceptron technology in the context of artificial intelligence Research on the blended teaching path of water conservancy engineering in universities based on big data analysis Strategies for the transmission of ethnic music culture in college music education based on the background of big data Innovative Strategies for the Development of International Chinese Language Education Based on Deep Learning Models Reflections on the Construction of Career Development and Planning System for Counselors in Private Universities in the New Era Study on the aesthetic laws of VR digital media art on the reception of film art The promotion path of high-quality development of rural tourism based on intelligent cloud platform system VAR model-based values education for adolescents and the role of WeChat in it A mining method of integrating Civic Science elements into English teaching in higher vocational courses based on information fusion technology Implementation and Assurance Model Construction of Financial BPO Cost Control under Cloud Computing Platform Exploring the development of intercultural communication skills of language students in universities based on big data Development of a hydraulic pump motor test stand based on mechanical power recovery A study on the impact of COVID-19 class suspension on college students’ emotions based on affective computing model Optimization of Civic Education Paths in Universities Based on the Subordination Matrix Model Visualization communication mode and path optimization of data news in the context of big data Research on the development of watercolor painting education in universities based on smart contract model Research on the construction and sustainable development of online teaching model for universities based on deep learning Speech recognition-based packaging design techniques and graphic design Barriers to Renewable Energy Share of the Grid in the Context of Big Data and Countermeasures Innovation of product packaging design based on visual communication from a digital perspective Sensitivity Analysis of the Waterproof Performance of Elastic Rubber Gasket in Shield Tunnel Research on urban landscape big data information processing system based on ordinary differential equations A statistical method for massive data based on partial least squares algorithm Colorized visual aesthetics of interior design based on the VAR model Optimizing Strategy of Computer Teaching Mode in Universities Based on Continuous Discrete Method Building an efficient classroom for Civics in vocational colleges in the era of new media In-depth analysis of the artistic expression of paper-cutting elements in interior space design Esearch on the optimization path of campus football teaching based on deep learning mode Study on the optimization of the quality management path of university physical education teaching in the context of multimedia network technology Exploring the path of integration of rural tourism culture and food industry in the context of big data The mechanism of innovation-driven emerging technology generation based on big data fusion in the perspective of technological self-reliance and self-improvement Construction material manufacturing in the context of artificial intelligence and its use in the construction of assembled buildings Graphic Design Optimization Method Based on Deep Reinforcement Learning Model Research on composite dynamic disaster prevention and control system of mine earthquake and shock in thick and hard rock mines Research on urban energy Internet planning based on fuzzy comprehensive method Research on innovative strategies of college students’ English teaching under the background of artificial intelligence Electromagnetic interference prediction technology of new energy motor drive system Research on the intelligent path of college students’ network ideological and political education based on big data mining technology Research on the application of PLC technology in electrical automation engineering Application of matrix multiplication in signal sensor image perception Analysing the variation of metadiscourse verb patterns in English academic papers from within and between disciplines Cyclic Convolutional Neural Network Model Based on Artificial Intelligence Impact of COVID-19 policy on stock prices of listed property companies Application of the ADDIE Model in the Teaching Practice of Basketball Skills Energy Efficiency Evaluation of HVDC Converter Station Based on Deep Neural Network Model Numerical Simulation and Characteristic Analysis of Music Based on Nonlinear Equations Títul Automatic Extraction and Discrimination of Vocal Theme Based on Quadratic Wave Equation Marginal Scale State Analysis of Cloud Computing Economy Based on a Class of First Order Differential Equations Computer-Aided Design of Hand-Drawn art Food Packaging Design Based on Deep Neural Network Model Innovative Development Model of Ideological and Political Education Under “Self-media” Based on Big Data Thoughts and Design of Ideological and Political Construction Based on the ADDIE Model VR-based computer maintenance practical training platform development design and application research Design and implementation of an integrated management system for discipline construction and postgraduate education in universities Research on innovative human capital for China’s economic development based on STI model In-depth analysis of the artistic expression of paper-cut elements in the design of boat space Construction and intelligent analysis of power grid physical data knowledge graph based on Internet of Things for power system Research on the effects of financial literacy on rural household credit constraint Research on educational resource recommendation system based on MRLG Rec Visual analysis of the trend of mental health changes among Chinese college students in the context of the normalisation of the new crown epidemic A study on the phenomenon of anaphoric correction in college students’ English conversation Design of fitness walker for the elderly based on ergonomic SAPAD model Research on the innovation of collaborative education model of scientific research and teaching in colleges and universities based on the theory of process reengineering The innovative path of diversified vocal music education reform in colleges and universities under the advanced educational concepts of China and the West Rhino application in ceramic packaging design teaching Analysis and countermeasures of cultivating independent learning ability in colleges teaching English based on OBE theory Influencing Factors of Ideological and Political Construction Work based on VSBPC Model Projection of Early Warning Identification of Hazardous Sources of Gas Explosion Accidents in Coal Mines Based on NTM Deep Learning Network Coupling Coordination of Long Triangle Digitization and High Quality Development of Manufacturing Industry based on Differential Equation The application of graph theory teaching method in ideological and political education of discrete mathematics Construction of a personalized learning platform based on genetic algorithm for specialized education in industrial colleges in the context of industry-education integration Analysis of the application of music curriculum education integrating modern network technology Evaluation of capability maturity of digital transformation of manufacturing industry in Yangtze River Delta based on SDAF model Online and Offline Audio-visual-oral English Teaching Model Construction Based on ARCS Research on new ways of ideological and political education in new era universities Application of ecological architecture in architectural design based on information technology integration Strategies for the implementation of aesthetic education in music teaching in colleges and universities under the threshold of big data RETRACTION NOTE Analysis of tennis techniques and tactics based on multiple linear regression model Automatic Detection of Transformer Health Based on Bayesian Network Model Application and value of painting technique in art education based on improved ARMA model 3D Virtual Art Design Method Based on ARCS Model Construction of intelligent terminal equipment for Electric Internet of Things based on edge computing model Analysis of bridge foundation pile detection based on convolutional neural network model Application of deep learning model in computer data mining intrusion detection Defect prediction of big data computer network based on deep learning model Analysis of News Communication Law Based on PSR Model Formative Assessment of College English Teaching Based on the CLA Model Application of animation design in the digital media art industry based on artificial intelligence technology An applied mathematical model based on discrete regression algorithm for computational prediction of blood collection volume Fractional Differential Equation in the Cost Control System of Cross-Border E-Commerce Optimization of innovative information-based teaching paths in college sports psychology based on principal component analysis Data Information Security Algorithm Based on Chaos and Hash Function Research on the innovative inheritance application of Guangxi minority elements in clothing design under the perspective of rural revitalization A study of English learning anxiety regulation strategies based on the deep learning model Application of power electronic circuit design based on BP artificial neural network in environmental monitoring Research on Curriculum Civic Education and Innovation and Entrepreneurship Education Reform in Undergraduate Universities under the Web-based Teaching Collaboration Platform Optimized reform strategy for quality education of Chinese language and literature education for college students based on information fusion technology Research on the innovation path of university library management and service under the background of big data Construction and practice of a standardized training system for outpatient clinics based on the cultivation of TCM thinking Genetic algorithm-based analysis of heat production prediction in electronic devices Analysis of the Implementation Approach of University Budget Performance Project Based on Equity Realization Perspective A study of multimodal education and discursive reading model in English based on multidimensional cognitive information aggregation theory Teaching Effect Evaluation of Music Education Based on Partial Differential Equation Model Analysis of the effect of music on personal emotional experience and identification of psychophysiological signals The application of body symbols in contemporary art from the perspective of Da Vinci’s theory A Hybrid Stochastic/Robust Planning Model for Integrated Energy System Considering Multiple Uncertainties Railroad freight service quality evaluation system based on a logistic regression model The Design and Development of Network Multimedia Music Teaching Based on Multiple Linear Regression Algorithm Research on the relationship between investment in preschool education and economic growth in Chongqing Deep Learning-based Fuzzy Translation Problem in Chinese-English Epidemic News Reporting Innovation and application of digital reading model for college students based on deep learning model Study of trip card data analysis system under big data Construction of a text complexity grading model for English textbooks in the context of globalization Design and research of big data technology based on e-commerce platform A study of cultural differences in Sino-Thai translation based on big data analysis On the Application of Artificial Intelligence in Local Legislation Big data analysis based on the correlation between live-streaming with goods, perceived value and consumer repurchase Big data methods and news communication innovation from theoretical definition to operational route Design and Practice of Human Geography Field Teaching in the Age of Big Data The innovation path of virtual practice teaching in college Civics class based on the Ridge regression model Application of CAE for mold flow analysis in plastic molding mold design Intelligent control system of port turning line based on WITNESS software Symmetry Analysis and Exact Solutions of Extended Kadomtsev-Petviashvili Equation in Fluids The reform of university English education inspired by cultural differences between China and foreign countries New approach to regularise the perturbed two-body problem Analysis of the factors influencing the development of college students’ Civic Science course based on ISO model The development trend of music art based on content analysis method The construction of cross-regional cooperation innovation network governance system based on data fusion technology Analysis of the innovative development path of university civic education based on the era of big data On new aspects of Chebyshev polynomials for space-time fractional diffusion process Rural landscape design strategy based on deep learning model Innovative Development Path of E-Commerce and Civil and Commercial Law in the Information Age Based on Discrete Regression Algorithm Stability of equilibrium price-production of dynamic duopoly Bertrand–Cournot game in a transnational supply chain with asymmetric information Mathematical model on Type 1 diabetes and Healthy state: Mechanisms of βcells on the interaction between M1 and M2 Macrophages Scientific Training Model of Sports Tourism Based on Nonlinear Differential Equation The dilemma and path of rural college students returning to their hometowns for employment and entrepreneurship in the post-epidemic period under the background of big data Financial big data control and intelligent analysis method for investment decision of renewable energy projects Analysis of the dilemma of higher vocational thinking education in China under the background of “Internet+” Analysis of the current situation and development countermeasures of college sports training and management based on the background of artificial intelligence A Review of the Design and Enhancement of Pastoral Culture Creativity in Chinese Rural Ecotourism Research on Computer Network Security Protection Technology Incorporating Full Convolutional Networks Research on the Logical Turn and Practical Path of China’s High-Quality Economic Development in the Context of Digitalization Influencing factors of modern and contemporary decorative pattern design on users’ visual perception characteristics Construction machinery hydraulic transmission system fault analysis and elimination methods Optimization strategy of ideological and political education in colleges and universities based on modern information technology A Review of the Research on Labor Supply Effect of Active Aging Application of traditional cultural elements in landscape design Driving Model of Electronic Information System Based on Agent Modeling and Simulation Research on the path of high-quality development of the rural tourism industry driven by big data technology The application of cloud accounting in enterprise financial decision making in the era of big data Variable combinatorial gap-filling method for single-cell RNA-seq data Research on the development path of integration of rural sports culture and sports tourism in the context of big data Risk Assessment of Financial Markets in the Era of Big Data Based on Eviews Econometric Model Cost Control System of Cross-Border E-Commerce Based on Fractional Differential Equation Fourier transform-based electronic logic information processing architecture design The Development of Enterprise Management Innovation in the Digital Economy Era Based on the Schumpeter Model Neural Networks and Migration Learning Models in Sports Video Course Applications Research on performance evaluation and optimization of college budget management under the background of big data Risks and preventive measures for manufacturing enterprises in the Context of cloud accounting Research and application of Augmented Reality Technology and digital media Technology in mobile visual media Research on Information Visualization of Chinese Cultural Heritage Patterns in the Digital Perspective The modernization strategy of constructing teacher-student relationship in the new era of universities Research on optimal path planning technology for vehicle positioning and navigation system Construction and practice of training system for dance professionals based on OBE teaching model combined with Kinect motion capture technology The construction of environmental cost accounting system - based on ecological perspective Interactive experience of information visualization in mechanical design Analysis of tea culture communication path based on the principal component analysis method Programming application of contemporary jewelry design forms based on Grasshopper software Construction of a multimodal poetry translation corpus based on AdaBoost model Analysis of the practical education model and its value in the context of big data in university civic education Information Fusion Technology-based Approach to Mining Civic Political Elements in College Curriculum Design of a decentralized Internet-based control system for industrial robot robotic arms General Architecture of Sustainable Urban Spatial Development Model Based on Smart Cities Design of a mechanical automatic transmission system for automobiles based on torsional vibration damping Optimization of the quality management path of physical education teaching in colleges and universities integrating modern network technology Construction of a mathematical modeling teaching quality assessment system for universities based on Eviews model Research on Information Literacy Education Model in the Big Data Environment - A Case Study of six Hainan high school Libraries Innovative model of teaching in law experiment center based on LETS software Fuzzy PID control theory in multi-objective optimal longitudinal following of intelligent trolley A Study on the Implications of Critical Discourse Analysis Theory for College English Teaching in the Context of Big Data The Construction of “Party Building + Curriculum Civics” Education Model for Chinese Grassroots Party Organizations in the Context of “Internet+” The artistic aesthetic and cultural value orientation of 3D printing A multidimensional interpretation of Marxist theory based on a decentralized Internet perspective Research on key technologies for connected vehicle autonomous driving based on 5G big data Student management model of college student associations based on ant colony Algorithm Research on practical teaching of Ideological and political education based on VR technology in the information age The Construction of Cultural Translation Research System under Big Data Technology Analysis of factors influencing the development of Civic Education for senior students of Chinese party culture based on ISO model Research on the application of big data technology in enterprise project management An investigation into the practice of blended teaching in English courses based on the BOPPPS model Analysis of student management path optimization in higher education institutions with ISM Strategies for optimising chemical instrumental analysis methods based on the ADDIE model The improvement path of international Chinese education management in universities based on big data technology Analysis of the coupling correlation between environmental protection efforts and economic development level based on artificial intelligence technology Seismic finite element analysis of underground integrated pipe corridor based on generalized reaction displacement method Research on the construction and operation mode of smart city information service system based on IOT technology Innovative reform strategy of artistic practice of university folk dance education based on information fusion technology Biosafety management strategy based on multiple linear regression model Thinking about the strategy and practice path of modern agricultural industry development in the context of big data New ideas of precision teaching development based on the background of big data Design and research of news recommendation system based on perceptron model in big data era Combined application of employment education and big data internet technology based on the context of vocational education reform Research on structural damage identification and localization based on artificial neural network College students' innovation and entrepreneurship model based on probability theory statistics Research on the design and application of intelligent teaching management system of intelligent training room in the background of internet Innovation and entrepreneurship model of higher vocational college students based on probability theory statistics Analysis of distribution network planning with distributed power supply based on ELM algorithm A fuzzy mathematical model-based approach to customer-side energy management for power companies Research on the evaluation of the employment effect of Jiangsu artificial intelligence based on neural network on colleges and universities Rural Tourism Development Planning Based on Nonlinear Differential Equation Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations Strategies for Marine remote sensing target detection based on deep learning model and internal wave simulation imaging technology Construction of a smart grid load forecasting platform based on clustering algorithm Variation mechanisms of metadiscourse verb patterns in English journal articles from intra- and interdisciplinary perspectives Construction of a refined people management model for SMEs based on discrete regression algorithm Color and composition under big data technology: the art of visual communication in film art FPGA-based Intelligent Logistics Management for Universities Study on the design of old residential district landscape space renewal based on Cite Space from the perspective of big data Digital design and experimental testing of a compressor's suction muffler transmission loss A Study on the Impact of the Internet+ Era on Korean Film Consumer Culture SCP model based on the new energy vehicle collaborative detection configuration method research Research on the innovation path of teaching interior design majors in universities based on big data analysis The cardiovascular promotion of college taekwondo based on fractional differential equation A Systematic Study of Intercultural Listening Strategies in Higher Education Institutions in the Context of Big Data Analysis and research on the economic benefits of employee labor in enterprises in the context of the Internet Design and application of an intelligent communication platform for aesthetics education for internationalization The boundedness of functional differential equations of hospital financial software under information Multi-UAV Aerial Mission Intelligent Assignment Algorithm Based on LightGBM Model Deep learning model-based brand design 3D image construction The Evolution of Marxist Theory of Financial Capital in the ACC Payment Model The character image setting of 3D animation works based on Poisson equation The Impact of College English Teaching on Improving Students’ Writing Effectiveness in the Context of Big Data Research on the interaction between university physical culture education and college students’ physical exercise in the context of big data Innovative research on the construction of experimental teaching platform of economics and management in colleges and universities based on the background of big data The optimization path of core literacy of innovative talents in universities based on the improved Markov model Analysis of the innovation path of university education management informatization in the era of big data Research on visual recognition and positioning of industrial robots based on big data technology Coupled coordination analysis of green finance on economic growth based on big data Information technology system to promote drug production command supervision Exploring English-Chinese Translation Skills Based on Big Data Technology Decentralized Internet-based calligraphy education leads the internal development of aesthetic education in schools Research on the construction and effect evaluation of OMO mode of professional practical training teaching of landscape engineering technology based on virtual simulation technology Theoretical and practical research on mathematical modeling of economy and finance based on artificial intelligence Calculation and evaluation of similarity in sports information resources based on combined algorithm Research on personalized Japanese language teaching model based on big data technology A multidimensional interpretation of Marxist globalization theory based on decentralized internet Analysis of the improvement path of English listening and speaking ability based on big data technology Study on the absorption technology of distribution network with high-proportion distributed power supply Application of BOPPPS teaching model in online and offline blended teaching of college Public Basic Mathematics Information Development and Student Talent Cultivation of Modern Chinese Language and Literature in the Context of Big Data Grouting reinforcement strategy for tunnel sand layer based on BP neural network Multimodal discourse analysis of automotive websites Research on university laboratory network security based on Cloud Computing Optimization of journalism communication digital education ecology based on SEM model Títul Mobile visual media design based on digital media technology and augmented reality Spatial planning layout design of national land in the context of rural revitalization based on MOLA model Influence of 3D characters image transfer on animation drawing based on detail feature preservation Títul Sports consumption behavior and consumption demand of urban residents in the context of “Internet+” Theoretical Innovation of English Teaching Methodology Based on Continuous Discretization Method Study on the influencing factors of the development of art education in colleges and universities based on the deep learning model Evaluation mechanism of local universities’ faculty construction based on SOAP technology An analysis of the cultural heritage of traditional Chinese festivals based on the perspective of big data Research on the mechanism of cultivating the English listening ability of college students based on the background of big data Reform and innovation of saxophone teaching mode in colleges and universities based on Bayesian model Media-based information display in university libraries based on a generalized differential equation numerical method Research on detection of parking space based on the combination of magnetoresistance and microwave radar sensor under IoT platform Research on sustainable development mechanism of regional ‘Artisan Workshop’ under big data environment Innovative Teaching Strategies for Aesthetic Arts in Higher Education Institutions Based on Big Data Technology Application of hybrid kernel function in economic benefit analysis and evaluation of enterprises The analysis method of the impact of missing audit information on the securities investment decisions based on Logistic regression models Research on the close-range photogrammetry accuracy of 3D digital interactive platform of Hunan intangible cultural heritage Research and implementation of visual question and answer system based on deep learning Títul Research on Wireless Network Coverage for Transformation and Upgrading of Exhibition Management with Artificial Intelligence Technology Study on the application of multi-angle imaging related technology in the construction process The combination application of Civic Education and Big Data Internet Technology based on the background of college education reform Economic statistical strategies for the transportation industry based on time-varying parametric state space models The digital economy is an important path to boosting common prosperity Public Management Model Based on Mathematical Equation of Statistics of Probability Theory Optimization path of corporate ESG performance and compensation performance management under carbon neutral target New anergy tide control strategy based on Eviews econometric model Optimization of vocal singing training method based on intelligent big data technology The construction of blockchain platform for engineering museums based on vectorized image processing technology Green supply chain innovation management strategy based on the combination of low carbon economy and e-commerce with big data technology Numerical simulation analysis of load-bearing capacity at joints of symmetrical cantilever-assembled bridges based on the logistic regression model Research on the current situation and countermeasures of cultivating talents in recreational sports under the perspective of artificial intelligence The Construction of a Coordinated Integration System of Rural Tourism and Habitat Environment in China Based on Coupled Coordination Degree Model Multi-objective Evolutionary Algorithm Supported Construction of Architectural Window Design Model Based on Visual Comfort - A Case Study of Office Buildings in Cold Regions Optimization analysis of cross-border e-commerce marketing strategy based on the SCOR model Construction and implementation of teacher support services model under “5G+Smart Education” Probabilistic neural network-based diagnosis of blockage faults in air conditioning and refrigeration units The Meaning, Value, and Realisation of Internet-based Culturally Responsive Teaching Analysis of digital humanistic knowledge production based on natural language processing Design of language assisted learning model and online learning system under the background of artificial intelligence An experimental study of the carbohydrate exchange method combined with aerobic exercise to intervene in the physical health of obese college students Design of a text evaluation and interaction system for university English textbooks based on a perceptual machine model in the context of globalization Comparative analysis of CR of ideological and political education in different regions based on improved fuzzy clustering Research on loyalty prediction of e-commerce customer based on data mining The use of red cultural and creative design in tourism cultural and creative design based on the background of big data Innovative measures of student management by counselors in higher education institutions under a big data environment Digital terrain interactive editing technology for landscape planning and design based on deep learning LightGBM model applied in the teaching course of Civic Education integrating red culture Research on personalized recommendation method of preschool e-learning resources Key technology research on decentralized Internet-based smart agriculture platform Optimization of cross-border e-commerce marketing strategy based on deep learning model An innovative study of art teaching strategies for preschool children based on big data analysis The function of ideological and political education of campus culture in the context of big data and its realization path The use of new media technology in the creation of media animation under the threshold of big data Research on the construction of early warning model of customer churn on e-commerce platform Research and Development of “Gathering Green” Digital Cultural and Creative Collection Creative Platform under the Technical Support of Big Data and Advocacy of Rural Revitalization: A Typical Practice Based on Qingdao Coastal Villages Evaluation and prediction of regional human capital based on optimised BP neural network A Regionalization Study of Market-Based Allocation of Data Factors in China A study of local smoothness-informed convolutional neural network models for image inpainting IoT-based interaction design of smart home products for elderly families A multidimensional interpretation analysis of Marxism globalization theory based on distributed Internet Strategy for financing mode optimization in international trade supply chain based on deep learning model Early warning and detection of geological disasters based on intelligent genetic algorithm Exploring the Application of Modern Fine Arts Artistic Modeling and Color in Modern Art Design Based on Information Fusion Technology Decisions of competing supply chain with altruistic retailer under risk aversion Research on China’s tourism marketing model in the data perspective: based on ecological perspective Research on human resource management performance evaluation based on BP algorithm Problem identification and solution of voice change phenomenon in vocal singing based on the AHP method A study on the effect of music on college students’ depression and anxiety based on big data analysis Inferring the role of fiscal decentralization and carbon taxes through the ARDL approach Some Necessary Conditions for Feedback Functions of de Bruijn Sequences A new model of tax governance in the context of the integration of traditional industries and the digital economy Improvement of the financial management supervision system of universities in the context of big data Analysis of the current situation and teaching strategies of university table tennis teaching in the context of big data Fractional Differential Equations in Sports Training in Universities Current situation and training strategies of preschool students’ skills in the Internet era Construction of sustainable development professional cluster in private universities based on data mining model Law of interest rate changes in financial markets based on the differential equation model of liquidity Basalt fibre continuous reinforcement composite pavement reinforcement design based on finite element model Innovative cultivation path of great craftsmanship based on logistic regression model Research on Fault Prevention and Maintenance System of Automatic Substation Primary Equipment Based on Decision Tree Algorithm The construction of innovation system of college physical education reform based on Bp neural network Analysis of the impact of college students’ innovation and entrepreneurship on human resource index of science and technology enterprises based on logistic regression model Noise Reduction of Cable Partial Discharge Vibration Signal based on EEMD-CIIT method Application of image processing technology based on hierarchical analysis in visual communication system Research on the cultivation mechanism of “double-creative” talents in ethnic regions with the integration of industry and education in the context of the Internet Research on the organization of public space relations in commercial complex buildings in the context of big data The use of traditional Chinese elements in modern interior design in the context of multimedia Application of biofilm-membrane bioreactor in municipal wastewater treatment Regional Logistics Routing Optimization System Based on Fractional Differential Equation Modeling Orientation and triage of preschool students’ interest development based on deep learning model AHM-FC Model in the Evolution Analysis of Ideological and Political Subjects System Construction of Intercity Culture and Xinjiang Music Integration in the Context of “One Belt, One Road” Based on SCP Model 3D Scene Simulation System of Japanese Teaching Based on Finite Element Equation Assessment of tax-related risks in corporate betting agreements based on vector autoregressive model Multi-Governance of Basketball Event Organization in Ethnic Areas Based on PESTEL Analysis Model Design of a linear regression model-based Internet exit anomaly detection method Building Tilt Scanning Measurement Based on Binary Linear Regression Analysis Exploring the application of composite materials in ceramic design based on fuzzy numerical analysis Construction of law and economics litigation service platform based on multimedia retrieval Application of motion capture technology based on dance big data in dance retrieval The Innovation and Application of Computer Multimedia-assisted Teaching Methods in College English Teaching Deep learning-based fault diagnosis and localization method for fiber optic cables in communication networks A Study on Innovative Teaching Strategies of English in Universities Based on VAR Model Research on the integration and innovation of red culture and ideological and political education in universities in the new media era Analysis of the impact of ADDIE education model based on logistic regression model on teaching contemporary cultural and creative product design Research on the optimization of prefabricated building preset scheme integrating BIM technology and BiLSTM model Research on practical education model of mental health development of college students in higher education institutions in the context of big data Badminton players’ trajectory under numerical calculation method Evaluation of the Integration Path of Ideological and Political Elements in English Major Courses Based on the ADDIE Model Application of multiple regression models in the analysis of kinematic parameters in competitive gymnastics Analysis of the influencing factors of college students’ mental health literacy based on multiple linear regression model Scale and efficiency of China’s radiation industry based on LightGBM model The construction of a mathematical model for college English interactive distance teaching Application of Data Mining Algorithms in Power Marketing Predictive Analytics Analysis of music teaching technology based on a data mining model Research on the Development of Young Teachers’ Informatization Teaching Ability in Universities Based on Big Data Technology Interactive texture replacement of cartoon characters based on deep learning model Application of Multiple Linear Regression Model in the Sustainable Development of National Traditional Sports Exploring Innovative Strategies for Teaching English in Higher Education with the Support of Big Data Analysis of media content recommendation in the new media era considering scene clustering algorithm The generalized matrix equation for systematic evaluation of oral Russian self-study The application of computer VR technology in physical education Evaluation of Corporate Social Responsibility and Core Competitiveness Based on GA-SVM Model Gymnastic movement recognition based on support vector machine classification model Extraction of Design Factors of Chinese Dance Culture based on Analytic Hierarchy Model Cultural and artistic dissemination of traditional Chinese silk patterns in the 17th-18th centuries in the context of big data Theory of physical education ecosystem based on SFIC model Research on the integration of online teaching resources in higher education institutions under the perspective of industry-education integration The Analysis of the Expression Form of Ideological and Political Elements in Philosophy Courses Based on Multimedia Information Fusion Strategy Diversified Integration of Civics Teaching Resources in Universities Based on Discrete Regression Model Study on the rehabilitation training effect of exoskeletal diseases based on the skeletal muscle geometry modeling method Exploring the teaching practice of visual communication design in colleges and universities under the background of big data Dance Rehearsal System Based on Linear Partial Differential Mathematical Equation Big data-based output-oriented teaching competency development for mathematics teacher trainees Research on dynamic detection method of bridge vehicle load based on optimization algorithm Deep Learning Based Sports Video Classification Research Design of energy big data and carbon emission monitoring system based on perceptron model in the context of carbon neutral and carbon peaking A model of online opinion dissemination based on vector autoregressive model of emotional information entropy Application of decision tree algorithm mining model in career planning goal simulation Multimodal construction of human movement dataset under the development of physical dance teaching in colleges and universities Visual Communication Design Method Based on Multimedia Information Processing Technology and Its Application Optimization of Teaching Path of Artificial Intelligence Programming Course in the Context of New Engineering Construction Application of short video recommendation technology in classical music teaching Reading promotion mode of university libraries in the context of information development The application of video text generation technology in assessing the effectiveness of teaching ethnic traditional sports Design of online art education system based on 3D virtual simulation technology Using Multimedia Information Retrieval Technology to Optimize the Strategies of College English Teaching Research on the current situation and development countermeasures of Chinese sports industry companies in the context of big data Research on digital transformation innovation of the exhibition industry in the era of big data A structural model of teachers’ teaching competencies based on multimodal affective features of support vector machines Research on information visualization for digital media design methodology based on big data technology Research on the physical training of athletes in ice and snow sports based on big data Rural tourism service design based on collaborative filtering algorithm after epidemic normalization Innovation of China’s international trade methods based on the perspective of cross-border e-commerce The theory of innovation and entrepreneurship education practice with the integration of modern information technology and new engineering The effect of fitness qigong exercise on college students’ physical fitness based on big data technology A study on the management of big data technology in financial decision-making of enterprise cloud accounting Empirical evidence of coupling and coordination between circular economy and foreign trade based on big data A strategy study based on artificial intelligence data analysis of rural governance into tourism industry development research Study on the Flipped Classroom Teaching Model of “Business English Translation” in the Context of Big Data Research on brand operation strategy of integrating traditional culture into the modern tourism industry based on big data analysis The Fit of Constructivist Teaching Theory and Foreign Language Teaching Reform in the Background of the Internet Era Heritage development of traditional culture in folk art education based on the decentralized Internet Intelligent algorithm-based analysis of corporate financial decisions in the era of cloud accounting The use of management accounting and financial accounting in financial management based on multiple linear regression algorithm Construction of intelligent practice system of college Civics teaching based on VR technology in the information age Application of nonlinear regression theory based on edge computing to mathematical modeling in universities Coupling research of Confucianism and Chinese philosophy based on data mining model The construction of a localized teaching model of the Orff music teaching method based on big data analysis A study on the application of non-fiction writing in writing courses in local universities based on a decentralized Internet model An Exploration of Chinese Language International Education Exchange and Cooperation Model Based on Random Forest Model A Study on Risk Management of Commercial Banks’ Home Mortgage Loans Based on Risk Management Framework A study on the application of creative writing in literature teaching based on multiple linear regression algorithm The positive impact of increased government bailout on weakening corporate default risk Teaching reform and innovation of vocational development and employment guidance courses in colleges and universities based on random forest model Modeling the connection between oil painting creation and university students’ inspiration in the context of “Internet+” The cultivation system of cross-media narrative ability of scriptwriter talent based on cluster model The path of optimizing and improving the teaching innovation ability of visual communication based on the SWOT model The Structure and Influencing Factors of Students’ Innovation and Entrepreneurship Ability Based on the Structural Equation Model The Influence of Green Entrepreneurship Orientation on Enterprise Performance Based on the TPB Model Computer Security Active Defense Technology Based on Bayesian Model Visual Operation and Maintenance Monitoring of Power System Data Network Based on Neural Network Model Design Method and Application of Intelligent Sports Equipment Based on Stochastic Differential Equation Color Processing System of Art Color Based on Fractional Differential Equation Global efficiency estimation of complex networks and regional technological and economic development based on fractal network model DMAIC Model’s Relative Efficiency Analysis of Input and Output in Cultural Construction of University Library and Mental Health Education of College Students Integrated Operation and Maintenance of Power System Communication Based on the Markov Model Oscillation and Asymptotic Behavior of a Special Delay Third Order Nonlinear Neutral Functional Differential Equation Statistical Analysis of Export Waybill Data of Cross-Border E-Commerce Based on ISM Model Zagreb Connection Indices for Metal Trihalides Adaptation of the COVASIM model to incorporate non-pharmaceutical interventions: Application to the Dominican Republic during the second wave of COVID-19 Karnauph Classifier: A Hybrid Mathematical Model for Data Classification An Improvement of Parameter Estimation Accuracy of Structural Equation Modeling using Hybridization of Artificial Neural Network in the Entrepreneurship Structural Model Mathematical model for portraits of members in large-scale department stores Analysis of the Innovation of University Students’ Education Management Based on the APT Model Construction of College Vocal Music Innovation Teaching Mode Based on ARCS Model The Clustering Effect Analysis of College Marxist Theory Network Propagation Based on Ant Colony Intelligent Algorithm Effects of Aerobic Training on Body Function Based on Multiple Linear Regression Analysis Limit cycles of a generalised Mathieu differential system The nonlinear effects of ageing on national savings rate – An Empirical Study based on threshold model Virtual Museum Scene Design Based on VRAR Realistic Interaction under PMC Artificial Intelligence Model Karnauph Classifier: A Hybrid Mathematical Model for Data Classification Construction Cost Control and Management Based on Mapping Model and BIM Research on innovative cultivation mode of English and American literature translation talents based on internet environment Improved K-SVD Model in Higher Vocational Physics Teaching Dance Emotion Characteristic Parameters Based on Deep Learning Model BIM Model Design of Deep Foundation Pit Engineering Based on BP Network Analysis of quantitative management of online intelligent monitoring of tailing ponds based on the perspective of safety prevention and control The Innovative Development Model of Ideological and Political Education Based on Big Data and We Media Analysis of rural tourism culture advertising content based on LSTM-CNN model Construction of network mathematics model for college English mixed teaching Optimization of college physical education curriculum based on G-DINA Strategic Policy Innovation of Regional Development Strategy Transformation in the New Era Based on Progressive Differential Model Optimization of local ethnic music teaching transmission path based on logistic regression model Vocational Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Exploring the Construction of Curriculum System of Theater and Film Studies Based on ADDIE Model Innovative research on propagation modes of short video works based on digital technology Analysis of the effect of compound training for explosive power on improving the psychological resilience of football athletes Construction of feature extraction model for machine foreign language translation evaluation system Exploration on the path of ideological and political education and cultural education in colleges and universities from the perspective of red culture Effect evaluation of ideological and political guidance in university party construction based on hierarchical analysis model Can policy coordination facilitate unimpeded trade? An empirical study on factors influencing smooth trade along the Belt and Road Research on design of customer portrait system for E-commerce Research on rule extraction method based on concept lattice of intuitionistic fuzzy language Application of data mining model in English text writing training system Design and evaluation of intelligent teaching system on basic movements in PE A Hierarchical Analysis Structure Model for the Integration and Optimization of Sports Industry Digitalization and Tourism Industry Construction of an economic environment scheduling system based on the multi-objective fuzzy optimization model Statistical Analysis of Advanced Mathematics Teaching Quality Evaluation Based on Quantile Regression Model Analysis of music teaching technology based on a data mining model The curriculum optimization exercise system of college physical aerobics based on partial differential equation Prediction of Cyberspace Security Data Based on the Markov Chain Model Scheduling Optimization of hotel supply chain based on heterogeneous multipopulation ant colony algorithm The application of multiple regression model in interactive English classroom teaching Sports Talent Training System of Sports Aerobics Based on Fractional Differential Equation Research on evaluation system of cross-border E-commerce platform based on the combined model Financial customer classification by combined model Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing New Green’s Function Method for Solving Underground Oil Seepage Problems The zero-Hopf bifurcations of a new hyperchaotic system Retraction: Wei, Wei and Lu, Liu. “The influence of X fuzzy mathematics method in basketball tactics scoring” Applied Mathematics and Nonlinear Sciences, vol.7, no.1, 2022, pp.677-684 Retraction of: Pan, Liurong, Alshalabi, Riyad, Li, Pingfen, Naminse, Eric Yaw and Tan, Fuqiang. “Analysis of digital humanistic knowledge production based on natural language processing” Applied Mathematics and Nonlinear Sciences, vol.0, no.0, 2023, pp.-. https://doi.org/10.2478/amns.2022.1.00029 Retraction Retraction: Retraction of: Mundewadi, R. A. and S, Kumbinarasaiah. “Numerical Solution of Abel's Integral Equations using Hermite Wavelet” Applied Mathematics and Nonlinear Sciences, vol.4, no.2, 2019, pp.395-406 A new expansion auxiliary equation method for traveling wave solutions of the simplified MCH equation and the ZKBBM equation Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions Study of Enterprise Resource Optimization Scheme from the Perspective of Knapsack Problems