As the world's second largest economy, China's total economic volume exceeded 100 trillion RMB in 2020. China has made important contributions to the world's economic development. Industrial structure research is an important content and core manifestation of industrial economics research. It not only connects macroeconomics but also involves microeconomics, and is a mesoscopic manifestation in economic research. Economic growth (EG) and industrial structure optimisation (ISO) are interdependent and interact with each other. Industrial structure adjustment and optimisation promote EG, and the process of EG is accompanied by continuous optimisation and upgrading of the industrial structure.
The Three Gorges Reservoir region is an area submerged due to the construction of the Three Gorges Project in the Yangtze River Basin, where there are 20 administrative regions with resettlement tasks, including 16 in Chongqing Municipality and 4 in Hubei Province. The Three Gorges Reservoir area is located in the middle and upper reaches of the Yangtze River Economic Belt. It is an important ecological barrier in the lower reaches of the Yangtze River Economic Belt. It has strategic importance of position in the construction of the Yangtze River Economic Belt and the western development. In recent years, with the continuous investment of the state in the Three Gorges Reservoir area and continuous deepening of the western development, the strategy of the Yangtze River Economic Belt as well as the Belt and Road Initiative had been continuously promoted. The economic development of the Three Gorges Reservoir area has achieved remarkable results, especially in several areas located at the end of the reservoir. The county has developed rapidly, and its gross domestic product (GDP) growth rate has always been at the forefront in the country. However, there are obvious regional differences and imbalances in the EG of the reservoir area. In order to truly reflect the EG and industrial structure characteristics as well as the typicality of the data, the Three Gorges Reservoir area studied in this paper specifically refers to eight key reservoir areas in Chongqing, including Wanzhou District, Fuling District, and Fengdu County, Zhongxian County, Kaizhou District, Yunyang County, Fengjie County and Wushan County. The national strategy is to allow immigrants to get rich and safe; among them is the vast majority of the 1 million more immigrants relocated to the above-mentioned eight districts and counties. The Chongqing area in the Three Gorges Reservoir area is a typical economic valley area in the Yangtze River Basin, with a weak industrial system foundation and a relatively low level of industrial structure. Research on the industrial structure of the Three Gorges key reservoir area has found the connotation of ISO that promotes EG, and the ISO path suitable for the EG of the key reservoir area. This has important practical significance for reducing the imbalance in regional economic development in this area.
Research on the relationship between industrial structure transformation and EG has attracted the attention of domestic and foreign researchers, while foreign scholars have studied it earlier. Economist Kuznets proposed that when the total economic volume changes sufficiently, it will inevitably lead to changes in the industrial structure. On the contrary, a rationalised industrial structure will also promote EG . Economist Pasinetti pointed out that among the many factors affecting EG, a change in the industrial structure is a very important factor . Cooper  and Krugman and Taylor  also studied the relationship between EG and industrial structure in developing countries in the past century. Over the past decades of reform and opening up, China's industrial structure has undergone great adjustments and changes, and its economy has grown rapidly. Chinese scholars have also carried out a lot of research on the relationship between industrial structure and EG, and have achieved many results. Liu Wei and Li Shaorong  have pointed out that only by improving the efficiency of the primary and secondary industries can the long-term stability of EG be promoted. Xu Donglin  used quantitative methods to analyse the adjustment of China's industrial structure from 1978 to 2002, and pointed out the impact of each industrial sector on EG. Liu Baoqun  pointed out that industrial structure adjustment can promote EG. Wang Feng et al.  pointed out that financial agglomeration and urbanisation have a positive intermediary effect in the process of industrial structure affecting EG. Through the quantitative analysis of 31 provinces and cities across the country from 1997 to 2016, Wang Chen et al.  pointed out that there is a co-integration relationship between GDP and the three major industries; meanwhile the added value of the three major industries has a significant role in promoting EG.
Research on the relationship between ISO and EG was also carried out from the perspective of industrial structure connotation, namely rationalisation and advancement, but the conclusions vary according to the quantitative indicators of rationalisation and advancement and the different regions. Gan Chunhui et al.  pointed out that the influence of industrial structure adjustment on EG is mainly due to rationalisation of the industrial structure, while the role of an advanced industrial structure is much weaker. Chang Haojuan et al.  pointed out that in the long run, industrial structure adjustment and EG restrict each other, and at the same time cause and impact each other. Furthermore, the advanced industrial structure has a relatively obvious role in promoting EG, while the impact of industrial structure rationalisation on EG is relatively weak. Li Hui and Ping Fangfang  and Wang Hui  have pointed out that the rationalisation and advancement of the industrial structure can promote EG. Zhao Xinyu and Wan Yujia  used the data of prefecture-level cities in Northeast China to demonstrate the role of rationalisation and upgrading of industrial structure on EG. The results showed that rationalisation of industrial structure promotes EG, while industrial upgrading has little effect on it.
A considerable number of scholars have also studied the relationship between ISO and regional EG. Li Jiyun and Sun Liangtao  studied the relationship between Yunnan's EG and industrial structure. Their research showed that Yunnan's industrial structural adjustment promotes EG, and not the reverse. Xu Jiejin et al.  conducted a quantitative analysis on the relationship between Chongqing's EG and industrial structure, showing that Chongqing's industrial structure does not play a significant role in its EG. Liu Yuelan and Li Yuxin  have pointed out that the adjustment of Xinjiang's industrial structure has promoted EG, but the effect of EG on the adjustment of Xinjiang's industrial structure is not obvious. Cai Jiaoli and Zhao Hongzhong  pointed out that the adjustment of industrial structure in Hebei Province is conducive to EG, but the effect of EG on the adjustment of industrial structure is not significant. Through VAR model analysis, Ma Nan and Lin Yingxing  found that the industrial structure plays an important role in Fujian's EG, but it takes a long time to express this relationship, and through the output value structure, EG also has a significant impact on Fujian's industrial structure.
Existing research has showed that there is a significant relationship between industrial structure and EG, and the research conclusions and research methods have certain enlightening effects. However, the research conclusions are not generalised due to the different research time, research areas, economic foundations, market environment and macro policies. Judging from the existing works, there are very few research results on the relationship between the industrial structure and EG of the Three Gorges Reservoir area. This area plays an important role in the Belt and Road Initiative and the western development, and its location advantage is obvious. Therefore, the Three Gorges Reservoir area is the focus of studies. It is particularly important to analyse the relationship between industrial structure and EG, for proposing the direction of industrial structure adjustment in line with the EG of the Three Gorges Reservoir area.
There are many factors that cause EG, and optimisation of the industrial structure is only one of the more important ones. According to existing research results [20,21] and related theories, it is shown that technological innovation (TI), foreign trade level (FTL), fixed capital investment (FCI) and budgetary expenditure (BE) may all affect EG. This paper incorporates TI, FTL, FCI and BE as control variables into the research economic model.
Without considering the control variables, the following econometric model was constructed:
The influencing factors of regional EG mainly involve investment, import and export trade, science and technology and so on. Therefore, the selection of control variables in this paper mainly involves several aspects such as TI, FTL, FCI and BE.
Regarding the measurement indicators of EG, according to the existing research results, there are mainly three common methods: (1) to use per capita GDP, mainly by per capita real GDP, (2) to use the annual growth rate of regional GDP to measure and (3) to use the regional GDP for measurement . Referring to the practice of Li Linhan and Tian Weimin , this paper used the per capita GDP to measure the level of EG, and used 2011 as the base year to calculate the real GDP through the GDP index.
As for optimisation of the industrial structure, there is currently no unified measurement standard in the academic world. At present, quite a number of scholars measure the optimisation of industrial structure from two dimensions: rationalisation of industrial structure and advanced industrial structure; at the same time some scholars also calculate the optimisation level of the industrial structure in each region through the hierarchical coefficient . Some scholars use the ratio of the added value of the secondary and tertiary industries to the regional GDP , while others use the ratio of the sum of the added value of the tertiary industry to the regional GDP for measurement [21, 24]. With the continuous development of the Chinese economy and the continuous optimisation and upgrading of the industrial structure, the proportion of the tertiary industry has continued to increase, and the role of the tertiary industry in the optimisation of the industrial structure has also continued to increase. In this paper we use the ratio of the sum of the added value of the tertiary industry to the regional GDP to measure optimisation of the industrial structure.
TI mainly refers to innovation for the purpose of creating new technologies or new products or new models based on science and technology. The level of TI directly affects the mode and efficiency of EG and the number of patent applications in a region directly reflects the level of TI in the region. Therefore, this paper uses the average number of patent applications per 10,000 people to measure the level of TI.
Relevant theories and research results have shown that the level of foreign trade is also one of the important factors affecting regional EG. EG will promote the expansion of foreign trade scale and the upgrading of foreign trade structure. At the same time, the upgrading of foreign trade structure and the expansion of foreign trade scale will promote regional EG. This article uses the average import and export volume per 10,000 people to measure the level of foreign trade.
The investment of fixed capital plays a significant positive role in promoting EG. This paper measures the level of FCI by the average FCI per 10,000 people.
According to Wan Jianxiang's  research, BE will promote EG through environmental and external effects. This paper measures the level of BE by the local average budget expenditure per 10,000 people.
According to the research needs, the data in this paper adopt the panel data of eight districts and counties in Chongqing's key Three Gorges Reservoir areas from 2010 to 2019. All data come from the 2011 to 2020 Chongqing Statistical Yearbooks, as well as the Statistical Yearbooks of all districts and counties, and the data published online by the Chongqing Statistics Bureau and the Statistics Bureau of all districts and counties in the reservoir areas.
In this paper, StataSE 15 was used for finding that Models (1) and (2) have changes in the intercept terms through
Among the factors affecting the EG of the Three Gorges Reservoir area, in addition to the above-mentioned explanatory variables and explained variables, there are also some unmeasurable or unobservable factors, such as cultural differences, geographical environment and so on. These factors have obvious individual heterogeneity and are relatively stable within a certain period of time, therefore the individual fixed effect model is suitable for empirical research in this paper.
In order to overcome the intra-group autocorrelation, cluster robust standard errors were used, and the regression results are shown in Table 1. The specific analysis is shown as follows.
The impact of ISO on EG. The empirical results of Model (1) showed that optimisation of the industrial structure has a significant role in promoting EG ( The influence of control variables TI, FTL, FCI and BE on EG, which could be obtained by the empirical results of Model (2) with control variables.
The impact of ISO on EG. The empirical results of Model (1) showed that optimisation of the industrial structure has a significant role in promoting EG (
The influence of control variables TI, FTL, FCI and BE on EG, which could be obtained by the empirical results of Model (2) with control variables.
Estimated results of the individual fixed effect model of the industrial structure of the Three Gorges Reservoir area on EG
|ISO||14.50*** [3.8559]||4.721** [1.4149]|
|_cons||−2.227 [1.5468]||−1.3 [0.9560]|
BE, budgetary expenditure; EG, economic growth; FCI, fixed capital investment; FTL, Foreign trade level; ISO, industrial structure optimisation; TI, technological innovation.
The role of TI in promoting EG is not significant. The main reason is that the economic foundation of the key reservoir areas in the Three Gorges Reservoir Area is weak, the industrial structure level is low, EG still mainly depends on the input of labour and capital, the contribution of total factor productivity is relatively limited, and technological progress and EG are not in harmony; meanwhile the role of TI in promoting EG has not been highlighted.
The FTL does not have a significant effect on EG, mainly due to the low level of economic opening in the key reservoir areas of the Three Gorges; the same as a single economic structure with a very small import and export volume has little effect on EG.
FCI has a significant positive effect on EG (
The empirical results showed that when FCI increases by 1 unit, the economy of the key reservoir areas in the Three Gorges increases by 0.664 units on average. The eight key districts and counties in the Three Gorges Reservoir Area, except Fuling district, are all located in the urban agglomeration of the Three Gorges Reservoir area in northeastern Chongqing. The economic development infrastructure is relatively backward, the industrial characteristics are not obvious, the industrial chain is short and there is a lack of brand pillar industries. However, the increased FCI is one of the significant contributing factors in EG.
BE has a significant positive effect on EG (
Based on the panel data of the industrial structure and EG of the Three Gorges key reservoir areas in 9 years from 2011 to 2019, an empirical analysis was conducted to test the influence of ISO, TI, FTL, FCI and budgetary expenditure on EG. The conclusions showed that (1) the optimisation of industrial structure has a significant positive effect on EG, that is, the optimisation of industrial structure in the Three Gorges Reservoir Area can promote regional EG and (2) in the control variables, due to the economic and industrial foundation of the Three Gorges Reservoir Area, infrastructure, opening level and other aspects, FCI and fiscal budget expenditure have a significant positive role in promoting EG in the reservoir area, while TI and FTL have no significant role in promoting EG in the reservoir area. To optimise the industrial structure of the reservoir area and promote EG, the main inspirations are as follows:
First, new urbanisation and rural revitalisation in the reservoir area should be planned and promoted in a coordinated manner, optimizing the layout of urban and rural industries in a larger space, and promoting the free flow, equal exchange, optimised allocation, and mutual support of urban and rural factors to achieve integrated development. Second, to vigorously implement the industrial cluster strategy of rural revitalisation in the reservoir area, vigorously cultivate industrial clusters in rural areas, and drive the high-quality integrated development of urban and rural areas with the derivative effect, agglomeration effect, network effect and innovation effect of industrial clusters. Third, focusing on the characteristics of agricultural products in the Three Gorges Reservoir Area, to intensively process agricultural products, cultural creativity, agricultural technology, sales promotion and other elements, and accelerate the formation of a new pattern of integrated development of urban and rural industries.
First, strengthen planning guidance, formulate a development plan for each characteristic industry based on regional functional positioning and the development foundation of characteristic industries. In addition, strengthen the connection between industrial development plans with economic and social development plans, urban development plans and environmental protection plans etc. Second, strengthen innovation-driven industrial development, strengthen cooperation with universities and research institutes and other units with strong scientific research strength, establish innovation platforms, such as technology innovation and product research and development centres, while at the same time guide innovation resources and elements to gather in characteristic industries. Third, make full use of the geographical indications of the Three Gorges Reservoir area to promote the excellence and strength of characteristic industries. For example, to explore the Three Gorges culture and immigrant culture, the districts and counties in the Three Gorges Reservoir area jointly plan and develop products with a new pattern of integrated development of the Three Gorges tourism with urban and rural industries, and promote the development of tourism in the Three Gorges Reservoir area to take off again. Fourth, rely on China's top 500 private enterprises, including Jinlong Precision Copper Tube Group Co. Ltd., to build a copper tube industry base. Food processing and manufacturing could be developed by relying on Chongqing Fuling Mustard Group Co. Ltd., Jiangsu Hengshun Vinegar Yunyang Condiment Co. Ltd. and other enterprises.
First, improve the agricultural management system. According to local conditions, relying on the advantages of local agricultural resources, expand the main body of new agricultural management and use modern management methods to manage agriculture. Cultivate new types of professional farmers, guide leading agricultural enterprises and farmers to jointly build agricultural industrialisation complexes, integrate the land of individual households, and form large-scale, economical and modern planting. Second, relying on ‘Internet +’ to promote the transformation of the agricultural industry business model, develop ‘Internet +’ characteristic agriculture, and open up the ‘last mile’ for agricultural products to enter the city. Third, vigorously develop late-ripening citrus, expand and strengthen Sanxia citrus, Fengjie navel orange, Kaixian spring orange and other brands, build a demonstration belt of ecological boutique modern citrus industry in the ‘Sanxia Orange Township’ in the Yangtze River Basin, and promote the establishment of the Sanxia Citrus Exchange. Focusing on Wanzhou, Kaizhou, Zhongxian, Yunyang and Fengdu, rationally plan and scientifically deploy livestock breeding bases such as cattle, sheep, rabbits, live pigs and mountain chickens. Support the deployment of ‘Belt and Road’ storage bases for imported grain, oil, meat and aquatic products in Wanzhou.
First, increase financial and taxation support, promote the green transformation of the manufacturing industry, support industry-university-research institutes to jointly build a green design platform, make breakthroughs in key technologies for green development, guide the promotion of financial institutions, explore new investment and financing models for the development of green manufacturing industries and deepen financial support for green manufacturing. Second, give full play to the main role of enterprises, create a green supply chain for products, and comprehensively promote the construction of an efficient, clean and green system. We must use various methods to leverage social forces to establish a guide fund, establish a model of green development and develop advanced technologies. Allow some enterprises or some regions to develop green first. Third, strengthen the implementation of regulations and standards, strengthen the constraints of regulations and standards such as industrial energy conservation and comprehensive utilisation, formulate national standard enterprise standards, promote industrial green upgrades and establish an evaluation mechanism.
First, dig deep into the cultural connotation, vigorously develop experiential leisure tourism agriculture, and promote the integrated development of agriculture, culture and tourism. The contribution rate of tourism to EG in Wushan County is the highest among the key reservoir areas, and it has been established as a national all-for-one tourism demonstration area at the same time as Wulong District in the same reservoir area. Wushan, Fengjie, Yunyang, Fengdu and other districts and counties in the key reservoir areas can make use of their own rich tourism resources, endow preferential policies such as taxation, capital and land. Vigorously develop the ecological cultural tourism industry, and use tourism to drive related industries such as big health industry development. Second, support the cultural excavation, function expansion, facilities and service upgrades of famous scenic spots along the Three Gorges of the Yangtze River, such as Wanzhou Tiansheng City, Fengdu Famous Mountain, Zhongxian Shibao Village, Fengjie Baidi City and Yunyang Zhangfei Temple to build the Yangtze River Poetry and Songs. Third, focus on tourism and leisure, health recuperation, cultural and folk customs, and strive to create a number of characteristic small towns.
Around the industrial chain, deploy the industrial chain around the innovation chain, make full use of advantageous resources, expand the scale and intensity of its development, give full play to economies of scale, and drive the development of other related industries through the comprehensive utilisation and development of resources. In the process of developing advantageous industries, fully extend the industrial chain, and use the industrial chain to drive as many industries as possible to develop together. The construction of the Three Gorges Reservoir Area should be based on the development law of the industrial economy, make overall planning and optimise the industrial layout of the reservoir area. First, optimise and adjust the agricultural industry structure, give full play to characteristic agriculture and brand agriculture, and focus on the development of citrus, mustard, Chinese medicinal materials. Other advantageous industrial belts and characteristic industrial areas, such as Fengjie, Wushan, can cluster the development of brand characteristic fruits. Second, since the ecological environment of the reservoir area is fragile, advanced technology and environmental protection technology should be adopted to develop the ecological economy. For example, Fuling and Shizhu take chemical fertilisers and biomedicine as their core industries, and promote the development of food, building materials, chemicals and other related industries. Third, relying on the golden waterway of the Yangtze River, a modern logistics industry cluster belt in the Three Gorges Reservoir area will be formed along the Yangtze River, and a world-class tourism industry cluster belt will be built in the reservoir area relying on the unique tourism resources of the reservoir area. Fourth, vigorously develop the industry in the park, formulate special preferential policies, attract more similar and related enterprises to enter the park, and relocate some non-related enterprises in compensation, which can quickly form an industrial cluster with characteristics of the reservoir area.
Estimated results of the individual fixed effect model of the industrial structure of the Three Gorges Reservoir area on EG
|_cons||−2.227 [1.5468]||−1.3 [0.9560]|
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Simulation and Modeling of Civil Mathematical Models University Library Lending System Model Based on Fractional Differential Equations Calculation and Performance Evaluation of Text Similarity Based on Strong Classification Features Intelligent Matching System of Clauses in International Investment Arbitration Cases Based on Big Data Statistical Model Evaluation and Verification of Patent Value Based on Combination Forecasting Model Financial Institution Prevention Financial Risk Monitoring System Under the Fusion of Partial Differential Equations Prediction and Analysis of ChiNext Stock Price Based on Linear and Non-linear Composite Model Calculus Logic Function in Tax Risk Avoidance in Different Stages of Enterprises The Psychological Memory Forgetting Model Based on the Analysis of Linear Differential Equations Optimization Simulation System of University Science Education Based on Finite Differential Equations The Law of Large Numbers in Children's Education Optimization System of Strength and Flexibility Training in Aerobics Course Based on Lagrangian Mathematical Equation Data structure simulation for the reform of the teaching process of university computer courses RETRACTION NOTE Research on the mining of ideological and political knowledge elements in college courses based on the combination of LDA model and Apriori algorithm Research on non-linear visual matching model under inherent constraints of images Good congruences on weakly U-abundant semigroups Can policy coordination facilitate unimpeded trade? An empirical study on factors influencing smooth trade along the Belt and Road Research on the processing method of multi-source heterogeneous data in the intelligent agriculture cloud platform Internal control index and enterprise growth: An empirical study of Chinese listed-companies in the automobile manufacturing industry Research on design of customer portrait system for E-commerce Research on rule extraction method based on concept lattice of intuitionistic fuzzy language Fed-UserPro: A user profile construction method based on federated learning A multi-factor Regression Equation-based Test of Fitness Maximal Aerobic Capacity in Athletes Design and evaluation of intelligent teaching system on basic movements in PE Garment Image Retrieval based on Grab Cut Auto Segmentation and Dominate Color Method Financial Risk Prediction and Analysis Based on Nonlinear Differential Equations Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching Multiple Effects Analysis of Hangzhou Issuing Digital Consumer Coupons Based on Simultaneous Equations of CDM Model Response Model of Teachers’ Psychological Education in Colleges and Universities Based on Nonlinear Finite Element Equations A Hybrid Computational Intelligence Method of Newton's Method and Genetic Algorithm for Solving Compatible Nonlinear Equations Pressure Image Recognition of Lying Positions Based on Multi-feature value Regularized Extreme Learning Algorithm English Intelligent Question Answering System Based on elliptic fitting equation Precision Machining Technology of Jewelry on CNC Machine Tool Based on Mathematical Modeling Application Research of Mathematica Software in Calculus Teaching Computer Vision Communication Technology in Mathematical Modeling Skills of Music Creation Based on Homogeneous First-Order Linear Partial Differential Equations Mathematical Statistics Technology in the Educational Grading System of Preschool Students Music Recommendation Index Evaluation Based on Logistic Distribution Fitting Transition Probability Function Children's Educational Curriculum Evaluation Management System in Mathematical Equation Model Query Translation Optimization and Mathematical Modeling for English-Chinese Cross-Language Information Retrieval The Effect of Children’s Innovative Education Courses Based on Fractional Differential Equations Fractional Differential Equations in the Standard Construction Model of the Educational Application of the Internet of Things Optimization research on prefabricated concrete frame buildings based on the dynamic equation of eccentric structure and horizontal-torsional coupling Optimization in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics Green building considering image processing technology combined with CFD numerical simulation Research on identifying psychological health problems of college students by logistic regression model based on data mining Abnormal Behavior of Fractional Differential Equations in Processing Computer Big Data Mathematical Modeling Thoughts and Methods Based on Fractional Differential Equations in Teaching Research on evaluation system of cross-border E-commerce platform based on the combined model A mathematical model of PCNN for image fusion with non-sampled contourlet transform Nonlinear Differential Equations in Computer-Aided Modeling of Big Data Technology The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping Financial customer classification by combined model Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Recognition of Electrical Control System of Flexible Manipulator Based on Transfer Function Estimation Method Automatic Knowledge Integration Method of English Translation Corpus Based on Kmeans Algorithm Real Estate Economic Development Based on Logarithmic Growth Function Model Design of Tennis Mobile Teaching Assistant System Based on Ordinary Differential Equations Financial Crisis Early Warning Model of Listed Companies Based on Fisher Linear Discriminant Analysis High Simulation Reconstruction of Crowd Animation Based on Optical Flow Constraint Equation Construction of Intelligent Search Engine for Big Data Multimedia Resource Subjects Based on Partial Least Squares Structural Equation 3D Animation Simulation of Computer Fractal and Fractal Technology Combined with Diamond-Square Algorithm Analysis of the Teaching Quality of Physical Education Class by Using the Method of Gradient Difference The Summation of Series Based on the Laplace Transformation Method in Mathematics Teaching Optimal Solution of the Fractional Differential Equation to Solve the Bending Performance Test of Corroded Reinforced Concrete Beams under Prestressed Fatigue Load Animation VR scene mosaic modeling based on generalized Laplacian equation Radial Basis Function Neural Network in Vibration Control of Civil Engineering Structure Optimal Model Combination of Cross-border E-commerce Platform Operation Based on Fractional Differential Equations The influence of accounting computer information processing technology on enterprise internal control under panel data simultaneous equation Research on Stability of Time-delay Force Feedback Teleoperation System Based on Scattering Matrix BIM Building HVAC Energy Saving Technology Based on Fractional Differential Equation Construction of comprehensive evaluation index system of water-saving irrigation project integrating penman Montei the quation Human Resource Management Model of Large Companies Based on Mathematical Statistics Equations Data Forecasting of Air-Conditioning Load in Large Shopping Malls Based on Multiple Nonlinear Regression Analysis of technical statistical indexes of college tennis players under the win-lose regression function equation Automatic extraction and discrimination of vocal main melody based on quadratic wave equation Analysis of wireless English multimedia communication based on spatial state model equation Optimization of Linear Algebra Core Function Framework on Multicore Processors Application of hybrid kernel function in economic benefit analysis and evaluation of enterprises Research on classification of e-commerce customers based on BP neural network The Control Relationship Between the Enterprise's Electrical Equipment and Mechanical Equipment Based on Graph Theory Mathematical Modeling and Forecasting of Economic Variables Based on Linear Regression Statistics Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System Fractional Differential Equations in Electronic Information Models BIM Engineering Management Oriented to Curve Equation Model Leakage control of urban water supply network and mathematical analysis and location of leakage points based on machine learning Analysis of higher education management strategy based on entropy and dissipative structure theory Prediction of corporate financial distress based on digital signal processing and multiple regression analysis Mathematical Method to Construct the Linear Programming of Football Training Multimedia sensor image detection based on constrained underdetermined equation The Size of Children's Strollers of Different Ages Based on Ergonomic Mathematics Design Application of Numerical Computation of Partial Differential Equations in Interactive Design of Virtual Reality Media Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Knowledge Analysis of Charged Particle Motion in Uniform Electromagnetic Field Based on Maxwell Equation Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Term structure of economic management rate based on parameter analysis of estimation model of ordinary differential equation Influence analysis of piano music immersion virtual reality cooperation based on mapping equation Chinese painting and calligraphy image recognition technology based on pseudo linear directional diffusion equation Label big data compression in Internet of things based on piecewise linear regression Animation character recognition and character intelligence analysis based on semantic ontology and Poisson equation Design of language assisted learning model and online learning system under the background of artificial intelligence Study on the influence of adolescent smoking on physical training vital capacity in eastern coastal areas Application of machine learning in stock selection Comparative analysis of CR of ideological and political education in different regions based on improved fuzzy clustering Action of Aut( G) on the set of maximal subgroups of p-groups Research on loyalty prediction of e-commerce customer based on data mining Algebraic Equations in Educational Model of College Physical Education Course Education Professional English Translation Corpus Under the Binomial Theorem Coefficient Geometric Tolerance Control Method for Precision Machinery Based on Image Modeling and Novel Saturation Function Retrieval and Characteristic Analysis of Multimedia Tester Based on Bragg Equation Semiparametric Spatial Econometric Analysis of Household Consumption Based on Ordinary Linear Regression Model Video adaptive watermark embedding and detection algorithm based on phase function equation English Learning Motivation of College Students Based on probability Distribution Scientific Model of Vocational Education Teaching Method in Differential Nonlinearity Research on mobile Awareness service and data privacy Protection based on Linear Equations computing protocol Vocal Music Teaching Model Based on Finite Element Differential Mathematical Equations Studying a matching method combining distance proximity and buffer constraints The trend and influence of media information Propagation based on nonlinear Differential equation Research on the construction of early warning model of customer churn on e-commerce platform Evaluation and prediction of regional human capital based on optimised BP neural network Study on inefficient land use determination method for cities and towns from a city examination perspective A study of local smoothness-informed convolutional neural network models for image inpainting Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Application of Nonlinear Differential Equation in Electric Automation Control System Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Computational Algorithm to Solve Two–Body Problem Using Power Series in Geocentric System Decisions of competing supply chain with altruistic retailer under risk aversion Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations The Marketing of Cross-border E-commerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory Application of Linear Partial Differential Equation Theory in Guiding Football Scientific Training Nonlinear Channel Estimation for Internet of Vehicles Some Necessary Conditions for Feedback Functions of de Bruijn Sequences The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function System Model of Shipping Enterprise Safety Culture Based on Dynamic Calculation Matrix Model An empirical research on economic growth from industrial structure optimisation in the Three Gorges Reservoir area The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Analysis and Research on Influencing Factors of Ideological and Political Education Teaching Effectiveness Based on Linear Equation Study of agricultural finance policy information extraction based on ELECTRA-BiLSTM-CRF Fractional Differential Equations in Sports Training in Universities Examination and Countermeasures of Network Education in Colleges and Universities Based on Ordinary Differential Equation Model Innovative research of vertical video creation under the background of mobile communication Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Chinese-English Contrastive Translation System Based on Lagrangian Search Mathematical Algorithm Model Genetic algorithm-based congestion control optimisation for mobile data network