Shenzhen Futian Mangrove Nature Reserve is located on the north bank of Shenzhen Bay. The area ranges from 22°30′–22°32′ north latitude to 113°56′–114°3′ longitude east, with a total area of 3.68 km^{2} (as shown in Figure 1). The region belongs to the East Asian monsoon region and the South Asian subtropical monsoon maritime climate region. The average annual temperature is 22.4°C. January is the coldest month. The lowest extreme temperature is 0.2°C. July is the hottest month. The highest extreme temperature is 38.7°C. The average annual rainfall is 1,700–1,900 mm, and rainfall is received mainly from April to September. The annual evaporation capacity is 1,500–1,800 mm. The average annual relative humidity is 80%. The annual sunshine hours are about 2000 d [1, 2]. It is the only mangrove wetland in the world located in the centre of the city, which is also an important ‘transit station’ and ‘gas station’ on the international migratory bird passage of the Eastern Hemisphere [3]. It is an important object of biodiversity and wetland ecological protection in the world [4].

Futian Nature Reserve is mainly composed of mangroves, fish ponds surrounded by dam, tidal flats, rivers, land, sea area and so on. Mangrove accounts for the largest area. The area of mangroves is mostly strip-shaped, the community appearance is relatively simple, and the region of mangroves mainly contains shrubs and small arbour trees. The canopy is relatively neat and generally 4–6 m high [5]. Mangrove plants mainly include

During the 30 years of rapid economic development in Shenzhen, the Futian mangrove wetland ecosystem was seriously affected by urban expansion and environmental pollution. Mangrove wetlands were shrinking, and mud deposits of the tidal flats were increasing the level of the seabed. A forest of tall buildings blocked the passage of birds. Ecological problems such as the death of fish and shrimp caused by water pollution became rampant. The wide spread of alien species such as

For environmental problems, the PSR framework model has a very clear causal relationship, i.e. human activities exert a certain amount of pressure on the environment. Resultantly, the state of the environment has changed to a certain extent, and human society should respond to the changes to restore environmental quality and prevent environmental degradation [12, 13]. These three links exactly constitute the entire process of decision-making and formulating countermeasures. Figure 2 shows the PSR model logic diagram.

This paper divides the ecosystem pressure of the mangrove wetland into natural pressure and anthropic pressure. Based on the actual natural conditions and current environmental characteristics of the wetland in the Futian Mangrove Nature Reserve, several indexes from both natural and anthropic factors will be selected as evaluation elements. The specific selected indexes are shown in Table 1.

Evaluation index selection of the pressure subsystem.

Pressure subsystem | Anthropic pressure | Density of population |

Per capita GDP | ||

Urbanisation rate | ||

Noise pollution | ||

Light pollution | ||

Natural pressure | Mangrove pest | |

Extreme temperature weather per year |

Ecosystem refers to a unified whole system formed by the continuous process of material circulation and energy flow between all creatures living together in a certain space and their environment. Ecosystem health assessments take into account changes in composition and structure and pattern under the influence of anthropic and natural factors. In this paper, the state subsystem is divided into three aspects, which are assessed individually: environment quality, biology and ecology and biological productivity. Specific indexes are selected as shown in Table 2.

Evaluation index selection of the state subsystem.

State subsystem | Biology and ecology | Diversity of species |

Environmental quality | Water quality | |

Biological productivity | Conversion between nutrient levels | |

Total energy conversion |

Response criterion level should cover two factor levels: natural response and social response. The natural response of the ecosystem mainly reflects the changes and trends of various environmental and biological indexes under pressure. However, in the process of the state subsystem evaluation, this paper will analyse and explain the current situation of various indexes by comparing historical data. Therefore, the response subsystems are no longer repeatedly discussed. Only the response activities related to social factors are evaluated. Specific indexes are selected as shown in Table 3.

Evaluation index selection of response subsystem.

Response subsystem | Social response | Proportion of the tertiary industry |

Education level of the population | ||

Investment in environmental pollution | ||

Planning regulations and policies | ||

Degree of public participation |

The ecosystem of the Futian mangrove wetland is a comprehensive system composed of several subsystems. The index system for comprehensive evaluation is a collection of indexes from various aspects based on the components of the ecosystem of the Futian mangrove wetland, which have functions and characteristics such as time, space, level and quantity. Therefore, in order to analyse the structural mechanism of complex ecosystem, it is necessary to carry out hierarchical analysis on the index system. Based on the screening principle of indexes, this paper uses the thought of system analysis to decompose the complex problems of the ecosystem into a number of interrelated and different order levels and then combines the actual situation to decompose the system into four levels: objective level, criterion level, factor level and index level [14, 15]. Figure 3 provides further details.

The factors affecting the Futian mangrove wetland ecosystem can be quantifiable, i.e. its fuzziness can be transformed into the membership degree relative to the stability level. According to the actual situation of the evaluation system studied, the evaluation index system of fuzzy comprehensive evaluation is established from the perspective of representativeness, systematicness and applicability. The fuzzy evaluation matrix of relative membership of a single evaluation index is established from the sample data of each evaluation index.

It is assumed that

The standardised treatment formula of the index ‘the larger the better’ can be written as follows:

The standardised treatment formula of the index ‘the smaller the better’ can be written as follows:

The standardised treatment formula of the index ‘the more medium the better’ can be written as follows:
_{min}_{max}_{mid}

Fuzzy evaluation matrix _{n×m} of single evaluation index can be constituted by taking these

The fuzzy evaluation matrix _{n×m} is used to construct the judgement matrix _{ij}_{m×n} to determine the weight of each evaluation index. Since fuzzy comprehensive evaluation is essentially an optimisation process, from the comprehensive perspective to make the results more accurate, the sample standard deviation
_{min}_{max}_{m}_{max}_{min} + 0.5]}. Min and [] are the minimum function and the integral function, respectively.

The hierarchical structure model is constructed to pre-process the data of the index level, and the relatively reliable membership degree is obtained through calculation, analysis and comparison. The membership degree is taken as the index level. According to the practical problems, the factors in the indicator level are denoted as follows: _{1}, _{2}, _{3},…, _{n}_{1}, _{2}, _{3},…, _{n}_{i}_{j}_{ij}_{ij}_{ji}

Then, the maximum eigen root of the judgement matrix and its corresponding eigenvectors are solved. We calculate the product of each row of the judgement matrix, as follows:

Then, we calculate the NTH root of _{i}

Next, we normalise vector _{1},_{2},…, _{n}^{T} as follows:
_{1},_{2},…, _{n}^{T} is the eigenvector. According to the judgement matrix table established above, the reordering method is used to screen the index factors. Then, according to the relative importance of the index factors in the road traffic after consultation, the corresponding values are given by pairwise comparison, and the judgement matrix is constructed for weight calculation.

It is assumed that
_{ij}_{jk}_{ik}

To test the consistency of the judgement matrix, its consistency should be calculated as follows:

In order to test whether the judgement matrix has satisfactory consistency, the consistency index

The judgement matrix has satisfactory consistency. Otherwise, the judgement matrix needs to be adjusted until it is satisfied.

The calculation method of the Futian mangrove wetland ecosystem evaluation index is as follows:
_{i}_{i}

In the formula, _{pressure}_{state}_{response}

The determination of environmental standards in this paper mainly refers to the following terms: (1) national, industrial and local standards, including environmental quality standards for surface water (GB3838-2002) and classification standards for nutritional state of lakes (reservoirs); secondary water quality standards of marine water quality standards (GB3097-1997); soil environmental quality standards (GB15618-1995) etc. (2) grading criteria for wetland ecosystem evaluation provided by Sun Longqi [16].

According to the biodiversity monitoring report data of the Futian Mangrove Reserve for the past 3 years, the calculation is as follows:

According to the above analytic hierarchy process, the characteristic vector of the judgement matrix is written as follows:

According to consistency check,

From the comparison of the weights of the pressure subsystems in Figure 4, it can be seen that the weighted score of natural pressure is 0.01988, whereas the anthropic weighted score is 0.28706. The lower the score, the less stress the system is under and the more stable the ecosystem is. Therefore, the score indicates that anthropic pressure in the Futian mangrove wetland in Shenzhen is higher than that of natural pressure. With the development of society and economy, the exploitation and utilisation of resources by humans has exerted a great influence on the ecological environment of the sea area, and the influence of humans has exceeded the influence of natural ecological disasters on the environment.

As for natural pressure, in terms of the weighted score of third-level indexes, the annual extreme temperature weather score is the lowest, amounting to 0.00100. This indicates that the Futian mangrove wetland in Shenzhen has a lower pressure effect on the ecosystem than other pressure indexes. The study shows that annual extreme temperature weather in the sea area does not cause stress. However, the impact of mangrove pests on the whole ecosystem is much greater than that of annual extreme temperature weather. For anthropic pressure, the weighted scores of population density, per capita GDP, urbanisation rate, light pollution and noise pollution are 0.02630, 0.09873, 0.06322, 0.06322 and 0.03559, respectively. Socio-economic indexes indirectly reflect the frequency of human socio-economic activities. According to the weighted scores of these five indexes, the population and economy of Futian, Shenzhen, have a great influence on the coastal ecosystem. Furthermore, the influence of human activities on the marine ecological environment is on the increase.

In order to reflect the comprehensive situation of all factors more intuitively, Figure 5 presents a comparison diagram of the weighted scores of each indicator of the state subsystem, and the figure indicates that the weighted scores of species diversity and water quality between total energy conversion and nutrient level are 0.05531, 0.04446, 0.00100 and 0.03559, respectively. In addition, energy conversion and infringement score lowest, which indicates that the ecosystem of mangrove wetland in Shenzhen is damaged due to human activities, and in particular to the discharge of domestic sewage. The structure of the intertidal community is unstable, and the energy flow and material circulation of the ecosystem are broken, both of which lead to the reduction of species diversity and serious damage to the ecosystem.

According to the weighted score of the response subsystem in Figure 6, the highest weighted score of the tertiary industry is 0.09873, which shows that the country attaches great importance to economic development. However, the education level of the population, environmental pollution investment and public participation index scores are significantly low, which indicates that there is still room for promotion and improvement in the local social response. The good state of the ecosystem is closely related to the importance of the state, the efforts of local government departments in policies and management, the educational level of the population and the importance of people to the environment. Therefore, the establishment of a sound system of laws and regulations, lax management measures, and strict and effective administrative law enforcement can play a decisive role in mangrove wetland protection.

Using the health index formula, the health index and comprehensive health index of the ecosystem stress, state and response in the protected area were calculated. (Table 4 indicates the corresponding health level.) The results are shown in Table 10.

Mean random consistency index.

0 | 0 | 0.58 | 0.90 | 1.12 | 1.24 | 1.32 | 1.41 | 1.45 |

Classification criteria and definitions of Futian mangrove wetland ecosystem evaluation.

I | ≥0.8 | A | The ecosystem has stable structure and function, and the system has adequate strength to recover and regenerate. |

II | 0.6–0.8 | B | The ecosystem function is relatively perfect, and can recover after being commonly disturbed. |

III | 0.4–0.6 | C | Although damaged to a certain extent, the ecosystem can still maintain its basic functions. |

IV | 0.2–0.4 | D | The structure and function of the ecosystem are degraded, biodiversity declines and environmental problems are serious. |

V | ≤0.2 | E | The structure and function of the ecosystem have almost collapsed, and the ecological environment has become seriously damaged. |

Noise evaluation criteria of mangrove reserve (day).

0 | 50 | 0 |

1 | 55 | 0.2 |

2 | 60 | 0.5 |

3 | 65 | 0.7 |

4 | 70 | 1.0 |

Classification of pressure evaluation.

0–0.2 | Mild stress |

0.2–0.4 | Small pressure |

0.4–0.6 | Medium pressure |

0.6–0.8 | High pressure |

0.8–1.0 | Extreme pressure |

Classification of state evaluation.

0.8–1.0 | A | The ecosystem has stable structure and function, and the system possesses adequate strength to recover and regenerate. |

0.6–0.8 | B | The ecosystem function is relatively perfect, and can recover after being commonly disturbed. |

0.4–0.6 | C | Although damaged to a certain extent, the ecosystem can still maintain its basic functions. |

0.2–0.4 | D | The structure and function of the ecosystem are degraded, biodiversity declines and environmental problems are serious. |

0–0.2 | E | The structure and function of the ecosystem have almost collapsed, and the ecological environment has become seriously damaged. |

Weight of each index.

Pressure subsystem 0.41173 | Anthropic pressure 0.36391 | Density of population | 0.55 | 0.04782 | 0.02630 |

Per capita GDP | 1 | 0.09873 | 0.09873 | ||

Urbanisation rate | 0.8 | 0.07902 | 0.06322 | ||

Noise pollution | 0.6 | 0.05932 | 0.03559 | ||

Light pollution | 0.8 | 0.07902 | 0.06322 | ||

Natural pressure 0.04782 | Mangrove pest | 0.5 | 0.03776 | 0.01888 | |

Extreme temperature weather per year | 0.1 | 0.01006 | 0.00100 | ||

State subsystem 0.20301 | Biology and ecology 0.07902 | Diversity of species | 0.7 | 0.07902 | 0.05531 |

Environmental quality 0.07410 | Water quality | 0.6 | 0.07410 | 0.04446 | |

Biological productivity 0.06938 | Conversion between nutrient levels | 0.6 | 0.05932 | 0.03559 | |

Total energy conversion | 0.1 | 0.01006 | 0.00100 | ||

Response subsystem 0.38526 | Social response 0.38526 | Proportion of the tertiary industry | 1 | 0.09873 | 0.09873 |

Education level of the population | 0.8 | 0.07902 | 0.06322 | ||

Investment in environmental pollution | 0.7 | 0.06917 | 0.04842 | ||

Planning regulations and policies | 0.7 | 0.06917 | 0.04842 | ||

Degree of public participation | 0.7 | 0.06917 | 0.04842 |

Ecosystem health index and level of the reserve.

Health index | 0.256962 | 0.140323 | 0.307203 | 0.25262 |

Health level | IV | V | IV | IV |

It is calculated that the mangrove wetland ecosystem is in a poor state (level IV). Its ecosystem structure and function are degraded. There has been a radical decline in biodiversity, and environmental problems are serious.

Based on the PSR model, the ecological health evaluation system of Futian Mangrove Reserve in Shenzhen was established. The AHP model was used to evaluate the health state of the reserve. The results showed that the proportion of pressure, state and response in the system was 41.17%, 20.3% and 38.53%, respectively. The health index was 0.256962, 0.140323 and 0.307203, respectively. The comprehensive health index of the reserve is 0.25262, which indicates health grade IV (poor state). The main reasons for the above results are as follows: (1) in the past 30 years, urbanisation has led to the loss of a significant portion of the ecological functions of the reserve ecosystem and the continuous decline of the health level; (2) water pollution, artificial introduction of plants and pests, and so on have inflicted great external pressure on the protection area; and (3) construction and other human activities affect the restoration of the natural state of the reserve.

#### Mean random consistency index.

0 | 0 | 0.58 | 0.90 | 1.12 | 1.24 | 1.32 | 1.41 | 1.45 |

#### Ecosystem health index and level of the reserve.

Health index | 0.256962 | 0.140323 | 0.307203 | 0.25262 |

Health level | IV | V | IV | IV |

#### Classification of pressure evaluation.

0–0.2 | Mild stress |

0.2–0.4 | Small pressure |

0.4–0.6 | Medium pressure |

0.6–0.8 | High pressure |

0.8–1.0 | Extreme pressure |

#### Classification of state evaluation.

0.8–1.0 | A | The ecosystem has stable structure and function, and the system possesses adequate strength to recover and regenerate. |

0.6–0.8 | B | The ecosystem function is relatively perfect, and can recover after being commonly disturbed. |

0.4–0.6 | C | Although damaged to a certain extent, the ecosystem can still maintain its basic functions. |

0.2–0.4 | D | The structure and function of the ecosystem are degraded, biodiversity declines and environmental problems are serious. |

0–0.2 | E | The structure and function of the ecosystem have almost collapsed, and the ecological environment has become seriously damaged. |

#### Evaluation index selection of the state subsystem.

State subsystem | Biology and ecology | Diversity of species |

Environmental quality | Water quality | |

Biological productivity | Conversion between nutrient levels | |

Total energy conversion |

#### Classification criteria and definitions of Futian mangrove wetland ecosystem evaluation.

I | ≥0.8 | A | The ecosystem has stable structure and function, and the system has adequate strength to recover and regenerate. |

II | 0.6–0.8 | B | The ecosystem function is relatively perfect, and can recover after being commonly disturbed. |

III | 0.4–0.6 | C | Although damaged to a certain extent, the ecosystem can still maintain its basic functions. |

IV | 0.2–0.4 | D | |

V | ≤0.2 | E |

#### Evaluation index selection of the pressure subsystem.

Pressure subsystem | Anthropic pressure | Density of population |

Per capita GDP | ||

Urbanisation rate | ||

Noise pollution | ||

Light pollution | ||

Natural pressure | Mangrove pest | |

Extreme temperature weather per year |

#### Evaluation index selection of response subsystem.

Response subsystem | Social response | Proportion of the tertiary industry |

Education level of the population | ||

Investment in environmental pollution | ||

Planning regulations and policies | ||

Degree of public participation |

#### Noise evaluation criteria of mangrove reserve (day).

0 | 50 | 0 |

1 | 55 | 0.2 |

2 | 60 | 0.5 |

3 | 65 | 0.7 |

4 | 70 | 1.0 |

#### Weight of each index.

Pressure subsystem 0.41173 | Anthropic pressure 0.36391 | Density of population | 0.55 | 0.04782 | 0.02630 |

Per capita GDP | 1 | 0.09873 | 0.09873 | ||

Urbanisation rate | 0.8 | 0.07902 | 0.06322 | ||

Noise pollution | 0.6 | 0.05932 | 0.03559 | ||

Light pollution | 0.8 | 0.07902 | 0.06322 | ||

Natural pressure 0.04782 | Mangrove pest | 0.5 | 0.03776 | 0.01888 | |

Extreme temperature weather per year | 0.1 | 0.01006 | 0.00100 | ||

State subsystem 0.20301 | Biology and ecology 0.07902 | Diversity of species | 0.7 | 0.07902 | 0.05531 |

Environmental quality 0.07410 | Water quality | 0.6 | 0.07410 | 0.04446 | |

Biological productivity 0.06938 | Conversion between nutrient levels | 0.6 | 0.05932 | 0.03559 | |

Total energy conversion | 0.1 | 0.01006 | 0.00100 | ||

Response subsystem 0.38526 | Social response 0.38526 | Proportion of the tertiary industry | 1 | 0.09873 | 0.09873 |

Education level of the population | 0.8 | 0.07902 | 0.06322 | ||

Investment in environmental pollution | 0.7 | 0.06917 | 0.04842 | ||

Planning regulations and policies | 0.7 | 0.06917 | 0.04842 | ||

Degree of public participation | 0.7 | 0.06917 | 0.04842 |

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Exploration of Geological and Mineral Construction AdaBoost Algorithm in Trustworthy Network for Anomaly Intrusion Detection Burnout of front-line city administrative law-enforcing personnel in new urban development areas: An empirical research in China Enterprise Financial Risk Early Warning System Based on Structural Equation Model A Study on the Application of Quantile Regression Equation in Forecasting Financial Value at Risk in Financial Markets Fractional Differential Equations in the Model of Vocational Education and Teaching Practice Environment Information transmission simulation of Internet of things communication nodes under collision free probability equation Image denoising model based on improved fractional calculus mathematical equation Random Fourier Approximation of the Kernel Function in Programmable Networks The Complexity of Virtual Reality Technology in the 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 Calculating university education model based on finite element fractional differential equations and macro-control analysis Educational research on mathematics differential equation to simulate the model of children's mental health prevention and control system Analysis of enterprise management technology and innovation based on multilinear regression model Verifying the validity of the whole person model of mental health education activities in colleges based on differential equation 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 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 Determination of the minimum distance between vibration source and fibre under existing optical vibration signals: a study Nonlinear differential equations based on the B-S-M model in the pricing of derivatives in financial markets 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 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 MCM of Student’s Physical Health Based on Mathematical Cone Sports health quantification method and system implementation based on multiple thermal physiology simulation Research on visual optimization design of machine–machine interface for mechanical industrial equipment based on nonlinear partial equations 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 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 Optimisation of Modelling of Finite Element Differential Equations with Modern Art Design Theory Mathematical function data model analysis and synthesis system based on short-term human movement Human gait modelling and tracking based on motion functionalisation The Control Relationship Between the Enterprise's Electrical Equipment and Mechanical Equipment Based on Graph Theory Financial Accounting Measurement Model Based on Numerical Analysis of Rigid Normal Differential Equation and Rigid Functional Equation Mathematical Modeling and Forecasting of Economic Variables Based on Linear Regression Statistics Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate Differential equation model of financial market stability based on Internet big data 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System Children’s cognitive function and mental health based on finite element nonlinear mathematical model 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 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 -groupsThe internal mechanism of corporate social responsibility fulfillment affecting debt risk in China: analysis of intermediary transmission effect based on degree of debt concentration and product market competitive advantage Study on transmission characteristics in three kinds of deformed finlines based on edge-based finite element method Asymptotic stability problem of predator–prey system with linear diffusion 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 Research on threat assessment problems of island air defence system based on the leader-follower model 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 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 Evaluation of ecosystem health in Futian mangrove wetland based on the PSR-AHP model A study of local smoothness-informed convolutional neural network models for image inpainting Towards more efficient control of the ironmaking blast furnace: modelling gaseous reduction of iron ores in H _{2}-N_{2}atmosphereAlgorithm of overfitting avoidance in CNN based on maximum pooled and weight decay 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 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 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 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 Fractional Differential Equations in Sports Training in Universities Examination and Countermeasures of Network Education in Colleges and Universities Based on Ordinary Differential Equation Model Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Chinese-English Contrastive Translation System Based on Lagrangian Search Mathematical Algorithm Model