Currently, economic globalisation and regional economic cooperation are the mainstream trends of global economic development. Pursuant to President Xi Jinping's announcement of the Belt and Road Initiative (BRI) proposal in 2013, China and the countries and regions along the Belt and Road (CRBR) have adopted an in-depth five-pronged approach and achieved fruitful results. A total of US$ 50.7 billion was invested; US$ 6.6 billion was paid to the host country as taxes and fees; and 392,000 local jobs were created
Data were obtained from China's Belt and One Road Network,
Close to a decade has passed since the BRI was proposed. With the continued spread of COVID-19 worldwide and the Sino–US trade frictions, China's international trade (IT) has experienced complicated situations. Under such circumstances, it is necessary to re-evaluate the factors influencing IT along the B&R to grasp the inherent laws of the development of trade among CRBR, which is crucial for promoting BRI and building a new development pattern wherein China's domestic and international dual circulation promote each other, so as to further guide the construction of cooperative architecture of the world economy.
Chinese and international academicians believe that numerous internal forces promote the smooth flow of IT, which can facilitate trade-related improvements through changes in the market, supply and demand, cost and consumer preferences. Currently, academic researchers consider the following six factors that determine the smooth flow of IT: policy, infrastructure, finance, cultural distance, spatial distance (SD) and economic level.
The IT level is controlled with policy coordination (PC) between the two governments concerned. Specifically, a friendly and harmonious environment [1], equal foreign trade agreements [2], positive political relations [3, 4, 5], the same military alliance [2, 4] and the same political alliance network [4, 5] can promote BT. In addition, a newly signed policy cooperation between countries facilitates the development of new industries, followed by a related trade increase. Therefore, cooperation and communication between national policymaking subjects and cooperative behaviour among enterprises have a certain decision-making and guiding role. Pollins [3] stated that as enterprises follow the political winds, lowering the uncertainty of political cooperation can ensure that the external environment of export trade is secure, which is conducive for the promotion of BT. The better the policy cooperation effect, the higher the efficiency of bilateral export trade [6]. Therefore, stable political cooperation basis and political trust relationship, especially positive political communication between the top leaders of two countries, can significantly and positively affect the BT level [7]. Based on the above analysis, Hypothesis 1 is proposed as follows:
The improvement in trade level must be supported by the provision of good facilities. Specifically, infrastructure connectivity (IC) between two countries can considerably facilitate BT and transportation [8] and enhance the BT volume [9, 10, 11]. Trade facilitation through IC considerably reduces the trade cycle [12,13], trade costs [14, 15, 16, 17, 18] and uncertainty [13, 16, 19, 20, 21, 22]. Accordingly, BT can be promoted, thus facilitating the timely exchange of relevant market information between the two countries [23] and products of comparative advantage and by accelerating cross-border flow and the adjustment of factors and commodities [22]. Good infrastructure support provides an efficient, transparent and predictable environment for IT [11, 24] in addition to promoting the development of economic globalisation and international division of labour. Exchange of information between the two countries [24] and the construction of transportation facilities open up the connection channel for the regional market between the two countries. Accordingly, industrial linkage development between the two countries and their exchange of factors of production can be promoted [25] to strengthen their trade stickiness and promote trade dialogue. Based on the aforementioned analysis, Hypothesis 2 is proposed as follows:
The promotion of trade level requires the use of capital as an intermediary and as a guarantee. Specifically, considering the differences in currency types and dynamic exchange rates, BT usually adopts foreign exchange or letter of credit settlement. Accordingly, cross-border trade settlement is crucial for avoiding the exchange rate risk of enterprises, enhancing trade terms and stabilising foreign trade growth [26]. At this point, the level of financing determines the convenience of BT. Furthermore, when trade occurs between the two countries, due to the asynchronous and separation of goods and capital flow, BT is usually an asynchronous exchange. Thus, as a guarantee, capital is essential to realise the integrated connectivity of funds across multiple currencies, time zones and countries [27]. Furthermore, in IT, a country's exports often require international finance; otherwise, it is difficult to form a certain scale [28]. High-level financial development can promote economic growth by encouraging a higher level of capital formation and enhancing the efficiency of capital allocation [29, 30]. Therefore, the higher the level of financial integration (FI), the higher the efficiency of BT [6]. Moreover, capital constraint strongly affects the trend and volume of BT. Based on the aforementioned analysis, Hypothesis 3 is proposed as follows:
Furthermore, culture also affects IT. Specifically, the cultural gap resulting from excessive cultural differences significantly negatively affects international tourism intentions as well as economic and trade cooperation [31], thereby affecting IT in goods [32]. The cultural distance significantly negatively correlates with IT, implying that a lower cultural distance is conducive to IT [33, 34, 35, 36]. This is because people's subjective initiative directly determines the amount and type of trade; and tourism, science and education exchange is a type of trade practice. Scholars have proposed that the recognition of a certain cultural extent affects economic behaviour, thereby affecting trade [37, 38]. Therefore, as a spiritual link, people-to-people bond (PPB) is crucial in BT. The relevant countries can convert potential into actual trade performance by reducing institutional and cultural differences [39]. In addition, the friendliness of a country's people and the number of sister cities considerably affect the willingness of traders to choose that country as a trade destination. Based on the above analysis, Hypothesis 4 is proposed as follows:
The host country's level of economic development also affects BT. The level of economic development affects the relation between BT and economic growth [40, 41, 42, 43, 44]. Thus, the higher the host country's level of economic development, the higher the consumption level and purchasing power of residents. Accordingly, the host country's level of economic development has considerable influence in determining whether or not there is a significant increase in BT volume. In addition, the increase in per capita GDP can considerably facilitate UT [45]. Based on the aforementioned analysis, Hypothesis 5 is proposed as follows:
Furthermore, the larger is the distance between the two countries, the more complex the transportation environment. A negative correlation exists between UT and SD. The longer is the SD, the more complex the transportation environment and the higher the transportation cost of trade and cultural exchange [46]. Meanwhile, strengthening the segmentation characteristics of the overall market is easy [45]. Therefore, the increase in SD naturally inhibits the smooth flow of trade [47, 48, 49]. The closer the distance between the two countries, the easier it is to eliminate the challenges of storage and transportation technology, reduce product costs and promote UT [50]. Similarly, geographical distance also affects BT by reducing the effects of economic integration agreements [51]. Accordingly, SD still affects trade today [52]. Based on the aforementioned analysis, Hypothesis 6 is proposed as follows:
In this paper, a multiple linear regression model is used to empirically analyse factors affecting trade among CRBR. In accordance with research assumptions, indicators are mainly selected from six aspects: policy, infrastructure, finance, cultural distance, SD and economic level. Table 1 presents the specific indicators and definitions.
Indicator selection and interpretation More interpretations for UT, PC, IC, FI, and PPB is from Xinhuanet,
The dependent variable | UT | Investment and trade are facilitated, related barriers are removed, a sound business environment within CRBR is fostered, free trade zones are established, more cooperation is expanded and the potential is unleashed. |
The independent variables | PC | More inter-governmental cooperation is strengthened, a multi-tiered inter-governmental mechanism is actively established for macro policy communication and exchange, converging interests are deepened, political mutual trust is promoted and more consensus on cooperation is reached. |
IC | Based on the need to respect the sovereignty and security concerns of the relevant countries, the synergisation of infrastructure construction plans and technical standard systems are strengthened among CRBR, the construction of international trunk routes is jointly promoted and an infrastructure network connecting all sub-regions in Asia, and between Asia, Europe and Africa, is gradually formed. | |
FI | Financial cooperation is deepened, and the development of currency stability, investment and financing, and credit systems in Asia could be advanced. | |
PPB | The spirit of friendship and cooperation among CRBR is shared. Extensive cultural and academic exchanges, personnel exchanges and cooperation, media co-operation, youth and women exchanges, and volunteer services are carried out so that a solid public support for deepening bilateral and multilateral cooperation is gained from more people. | |
GDPPC | The ratio of the gross domestic product realised in a country or region to the resident population within its territory during an accounting period (usually 1 year). | |
SD | The distance between the host country and China. |
FI, financial integration; GDPPC, GDP per capita; IC, infrastructure connectivity; PPB, people-to-people bond; PC, policy coordination; SD, spatial distance; UT, unimpeded trade; CRBR, countries and regions along the Belt and Road.
In this paper, 94 countries that have signed cooperation agreements with China under the BRI before 2019 were considered as research samples. The data are presented as follows:
The five indicators, UT, PC, IC, FI and PPB, are represented by a set constituting an index, as in The raw data for GDP per capita (GDPPC) were obtained from the World Bank, and the raw data for SD were obtained from the Internet,
The indexation of GDPPC is as follows:
The indexation of SD is as follows:
Finally, in a total of 94 datasets, the samples for Serbia, Kyrgyzstan, Palestine and the Cook Islands were deleted due to data loss, leaving a remainder of 90 datasets.
Multiple linear regression was conducted, with the UT index as the dependent variable and the PC, IC, FI, PPB, SD and GDPPC indexes as independent variables.
In Table 2, VIF values are less than 10. No multi-collinearity exists among the dependent variables, and the multiple linear regression can be conducted. Table 3 presents the descriptive statistics.
Collinear analysis of independent variables
PC | 0.640 | 1.562 |
IC | 0.640 | 1.562 |
FI | 0.438 | 2.285 |
PPB | 0.489 | 2.045 |
GDPPC | 0.662 | 1.512 |
SD | 0.760 | 1.316 |
PC, policy coordination; IC, infrastructure connectivity; FI, financial integration; PPB, people-to-people bond; GDPPC, GDP per capita; SD, spatial distance; UT, unimpeded trade.
Descriptive statistics of indicators
UT | 12.50611 | 2.429006 |
PC | 10.97978 | 2.967041 |
IC | 9.794889 | 2.25475 |
FI | 10.00822 | 4.086667 |
PPB | 12.472 | 2.962444 |
GDPPC | 0.114967 | 0.130957 |
SD | 0.519833 | 0.204799 |
UT, unimpeded trade; PC, policy coordination; IC, infrastructure connectivity; FI, financial integration; PPB, people-to-people bond; GDPPC, GDP per capita; SD, spatial distance.
After adjustment,
Model's goodness of fit analysis
0.739 | 0.547 | 0.514 | 1.69359 | 1.889 |
In Table 5, the
Model significance test
Regression | 287.041 | 6 | 47.840 | 16.679 | 0.000 |
Residual | 238.066 | 83 | 2.868 | ||
Total | 525.106 | 89 |
Dependent variable: UT;
Predictor variables: (constant), PC, IC, FI, PPB, GDPPC and SD.
PC, policy coordination; IC, infrastructure connectivity; FI, financial integration; PPB, people-to-people bond; GDPPC, GDP per capita; SD, spatial distance; UT, unimpeded trade.
When
Significance test of independent variable regression coefficient
C | 7.044 | 1.203 | 5.854*** | 0.000 | |
PC | −0.069 | 0.076 | −0.084 | −0.912 | 0.364 |
IC | 0.172 | 0.100 | 0.160 | 1.729* | 0.087 |
FI | 0.181 | 0.066 | 0.305 | 2.731*** | 0.008 |
PPB | 0.259 | 0.087 | 0.316 | 2.993*** | 0.004 |
GDPPC | 3.863 | 1.685 | 0.208 | 2.292** | 0.024 |
SD | −1.846 | 1.006 | −0.156 | −1.836* | 0.070 |
The dependent variable is UT;
means
means
means
PC, policy coordination; IC, infrastructure connectivity; FI, financial integration; PPB, people-to-people bond; GDPPC, GDP per capita; SD, spatial distance; UT, unimpeded trade.
PC is not significant. The The rest of the indicators are significant. IC, FI, PPB, GDPPC and SD impede trade. Among these factors, IC, FI, PPB and GDPPC positively affect UT, but SD has a negative effect. Thus, the remaining five hypotheses should be accepted.
Table 7 presents the final results.
Results of the multiple linear regression
H1: PC → UT | −0.084 | −0.912 | 0.364 | Not supported |
H2: IC →UT | 0.160 | 1.729 | * | Supported |
H3: FI → UT | 0.305 | 2.731*** | *** | Supported |
H4: PPB → UT | 0.316 | 2.993*** | *** | Supported |
H5: GDPPC → UT | 0.208 | 2.292** | ** | Supported |
H6: SD → UT | −0.156 | −1.836* | * | Supported |
The dependent variable is UT;
means
means
means
PC, policy coordination; IC, infrastructure connectivity; FI, financial integration; PPB, people-to-people bond; GDPPC, GDP per capita; SD, spatial distance; UT, unimpeded trade.
According to the table, the following regression equation can be obtained:
BRI significantly promotes bilateral relations between China and CRBR, in addition to strengthening multilateral trade along the BRI. PC promotes BT; however, the analysis indicated that PC is not significant. The results are contrary to the original intention and idea of PC as well as PC expectations. This could be because:
PC is mainly political communication, and not communication primarily aimed at promoting BT. The data for the index of PC were obtained from Policy implementation time is still short, and the promotion of trade has not yet fully manifested. It has been less than a decade since China proposed the BRI and only about 5 years since China launched an in-depth BT cooperation with CRBR. Moreover, it takes a long time for political communication to enhance mutual trust, increase understanding and reach a consensus to achieve in-depth trade cooperation and promote UT. Furthermore, it takes a long time for PC to convert to other factors such as closer people-to-people connectivity and direct promotion of IC.
Among the six factors that influence UT, five are significant. Specifically, it can be found that
The coordination between policymaking subjects does not significantly promote BT. PC should boost BT; however, the research results suggest otherwise. Hypothesis 1 is rejected, implying that PC needs to be adjusted to boost BT. Infrastructure construction can provide facilitation conditions and create an effective prerequisite for the circulation of elements among CRBR. The construction of infrastructure promotes trade development by indirectly reducing the uncertainty and time associated with trade, as well as the economic cost. (This is made possible by the fact that infrastructure construction can provide convenient conditions to facilitate the flow of factors among CRBR and reduce the uncertainty and time associated with trade, as well as the economic cost, thereby indirectly promoting trade development). As a trading intermediary and guarantee among countries, FI can effectively avoid exchange rate risk, improve trade conditions and stabilise IT growth. FI can ensure asynchronous exchange for the expansion and development of some large multinational companies’ export as well as provide international financial support. The financing level of ascension has a certain promoting effect on trade flow. PPB has the greatest positive effect on IT. As a spiritual bond of trade, people's hearts affect the tendency of consumption choices to a certain extent and directly stimulate the development of IT through tourism, scientific and educational exchanges and other behaviours. A higher level of PPB increases the willingness of both sides to IT; thus, improving the level of PPB facilitates the smooth flow of trade. GDPPC positively affects IT, thereby directly determining the consumption level and purchasing power of residents. As a profit-seeking behaviour, IT is affected by consumption behaviour. Accordingly, the higher the consumption level and purchasing power, the more conducive the development of IT. With the increase of SD, the cost and risk of IT increase. The exporting country easily loses its comparative advantage in the importing country's market. Therefore, the increase of SD restricts IT.
Indicator selection and interpretationMore interpretations for UT, PC, IC, FI, and PPB is from Xinhuanet, http://www.xinhuanet.com/world/2015-03/28/c.1114793986.htm
The dependent variable | UT | Investment and trade are facilitated, related barriers are removed, a sound business environment within CRBR is fostered, free trade zones are established, more cooperation is expanded and the potential is unleashed. |
The independent variables | PC | More inter-governmental cooperation is strengthened, a multi-tiered inter-governmental mechanism is actively established for macro policy communication and exchange, converging interests are deepened, political mutual trust is promoted and more consensus on cooperation is reached. |
IC | Based on the need to respect the sovereignty and security concerns of the relevant countries, the synergisation of infrastructure construction plans and technical standard systems are strengthened among CRBR, the construction of international trunk routes is jointly promoted and an infrastructure network connecting all sub-regions in Asia, and between Asia, Europe and Africa, is gradually formed. | |
FI | Financial cooperation is deepened, and the development of currency stability, investment and financing, and credit systems in Asia could be advanced. | |
PPB | The spirit of friendship and cooperation among CRBR is shared. Extensive cultural and academic exchanges, personnel exchanges and cooperation, media co-operation, youth and women exchanges, and volunteer services are carried out so that a solid public support for deepening bilateral and multilateral cooperation is gained from more people. | |
GDPPC | The ratio of the gross domestic product realised in a country or region to the resident population within its territory during an accounting period (usually 1 year). | |
SD | The distance between the host country and China. |
Model significance test
Regression | 287.041 | 6 | 47.840 | 16.679 | 0.000 |
Residual | 238.066 | 83 | 2.868 | ||
Total | 525.106 | 89 |
Results of the multiple linear regression
H1: PC → UT | −0.084 | −0.912 | 0.364 | Not supported |
H2: IC →UT | 0.160 | 1.729 | Supported | |
H3: FI → UT | 0.305 | 2.731 |
Supported | |
H4: PPB → UT | 0.316 | 2.993 |
Supported | |
H5: GDPPC → UT | 0.208 | 2.292 |
Supported | |
H6: SD → UT | −0.156 | −1.836 |
Supported |
Collinear analysis of independent variables
PC | 0.640 | 1.562 |
IC | 0.640 | 1.562 |
FI | 0.438 | 2.285 |
PPB | 0.489 | 2.045 |
GDPPC | 0.662 | 1.512 |
SD | 0.760 | 1.316 |
Descriptive statistics of indicators
UT | 12.50611 | 2.429006 |
PC | 10.97978 | 2.967041 |
IC | 9.794889 | 2.25475 |
FI | 10.00822 | 4.086667 |
PPB | 12.472 | 2.962444 |
GDPPC | 0.114967 | 0.130957 |
SD | 0.519833 | 0.204799 |
Significance test of independent variable regression coefficient
C | 7.044 | 1.203 | 5.854 |
0.000 | |
PC | −0.069 | 0.076 | −0.084 | −0.912 | 0.364 |
IC | 0.172 | 0.100 | 0.160 | 1.729 |
0.087 |
FI | 0.181 | 0.066 | 0.305 | 2.731 |
0.008 |
PPB | 0.259 | 0.087 | 0.316 | 2.993 |
0.004 |
GDPPC | 3.863 | 1.685 | 0.208 | 2.292 |
0.024 |
SD | −1.846 | 1.006 | −0.156 | −1.836 |
0.070 |
Model's goodness of fit analysis
0.739 |
0.547 | 0.514 | 1.69359 | 1.889 |
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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 ofp -groupsStudy on transmission characteristics in three kinds of deformed finlines based on edge-based finite element method 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 sentiment analysis method based on bidirectional long short-term memory networks 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