Then the cosine similarity calculation formula is as follows:

After analysis, it can be obtained as follows:

In natural language processing, a lot of text is thought of as a vector space with a word at its core. In vector space, all dimensions are subject words, and text is a spatial vector constructed with dimensions as the core. Its coordinates on all dimensions represent the occurrence frequency of subject words in corresponding dimensions. Therefore, M×N word-library matrix can be constructed from corporate social media corpus. This process belongs to feature extraction in text mining.

The formula of Tf word frequency is as follows:

The calculation formula of idF inverted word frequency is as follows:

In the matrix above, each row refers to a microblog vector, and the corresponding vector value refers to the weight ratio occupied by all subject words in microblog. This matrix contains the correlation between topic keywords and microblog, which can be further studied by flying matrix decomposition technology.

^{n}^{×m}, Find two non-negative matrices ^{n}^{×q}, ^{m}^{×q}, Then we can get:

In this way, a higher dimensional matrix can be decomposed into a product of left and right nonnegative matrices. Since non-negative constraints need to be paid attention to during the decomposition, the column vectors in the original matrix X can be regarded as the weight values of all the column vectors in the left matrix W, and the actual weight coefficients are the corresponding elements. The nonnegative matrix factorization is NP problem and can approach local optimum by stepwise iteration.

From the perspective of the square distance loss function, if the noise follows normal distribution, the results of the maximum likelihood estimation method are equivalent to the least square calculation, and the corresponding loss function can be calculated using Euclidean distance formula, as shown below:

The corresponding objective function is:

Combined with the formula, the mode of gradient descent is used for iteration, thus the final solution formula can be obtained:

Generally speaking, gradient descent is handled by addition and subtraction, and it is likely that the matrix elements will decrease into negative numbers. In order to ensure that all results belong to integers, the multiplication algorithm can be reasonably used to solve the unconstrained optimization problem, the specific formula is as follows:

The formula for transforming the gradient descent method into the multiplication algorithm is:

From the perspective of KL divergence loss function, if noise obeys Poisson distribution, the KL divergence loss function corresponding to the loss function can be expressed as follows:

In the above formula, _{i, j}_{i, j} H_{ij, j} =1 Under this condition, it belongs to KL divergence, and the corresponding minimization objective function is:

For derivation and analysis of the objective function obtained above, the gradient descent algorithm should be selected, as shown below:

By transforming the gradient descent algorithm into the multiplication algorithm, it can be obtained:

The formula for changing the gradient descent algorithm into the multiplication algorithm is:

The iterative formula of decomposition matrix W and H can be defined.

First in this paper, we study corporate social media data set for data preprocessing, to remove the extraction of no value information, then combines text similarity and interactive relationship to build weibo - relation matrix, weibo - subject matrix, finally using nonnegative matrix decomposition technique and decomposition of the above model, thus obtaining weibo this social platform of clustering results, Relevant keywords were obtained to represent the theme. The actual research framework is shown in the figure 1 below^{[1,2]}:

Most of the text information contained in corporate social media posts appears in natural language in unstructured form, which is difficult to be directly utilized by the model because it involves a large amount of linguistic information. In this paper, the preprocessing of relevant data is mainly to facilitate the similarity calculation of subsequent text content and accurately evaluate the topic connectivity between microblog posts. Therefore, it is necessary to clean up data text, remove words or segmentation, etc.^{[3,4]}

Suppose a microblog post is defined as a tuple. Pw, Fw, Tw, Cw>, so the element information contained in the tuple is as follows: Pw stands for the user contained in this microblog, Fw stands for the URL set of the original microblog post and the URL set of the forwarded microblog post, Tw stands for the collection of microblog topic tags saved by the original state; Represents the text word set of this microblog after text processing.

By defining the microblog relationship between two microblogs WI and WJ as R (WI, WJ), the similarity and interaction of texts should be fully studied during the analysis and processing. Firstly, m (Pwi, Pwj) should be explicitly mentioned, followed by f (Fwi, Fwj), and finally, the topic tag T (Twi, Twj) and text similarity SIMM (Cwi, Cwj). The numerical value of the relationship between microblog and microblog is controlled between 0 and 1, 0 means there is no relationship between microblog pairs, and the relationship between them is getting stronger and stronger with the increasing value. The actual calculation formula is as follows:

In the above formula, the relationship m (Pwi, Pwj) refers to the intersection between the users covered by the two microblog posts, in other words, the original microblog creator proposed by the two microblog posts, and the specific formula is as follows:

Combined with the interaction analysis of the topic tag T (Twi, Twj), the actual calculation formula is as follows:

The calculation formula of interaction relationship is as follows:

Text similarity is mainly used to analyze the content of weibo posts, and the specific formula is as follows:

After obtaining the above four relationship components, the relationship value R (WI, WJ) between microblog posts can be accurately calculated, which provides an effective basis for the subsequent relationship matrix construction. 2.3 Topic Extraction

On the one hand, it refers to the cluster analysis of microblog posts. Firstly, the relationship matrix A between microblog and microblog should be constructed, and the specific formula is as follows:

The non-negative matrix decomposition technique is used to transform it into two low-dimensional matrices, as shown below: ^{m×k} ^{k×n}

The multiplication rule of the actual update iteration is:

On the other hand, it refers to the clustering analysis of subject words. Micro-blog - subject matrix W and micro-blog - subject word matrix V should be constructed first. The former is formed according to the clustering results of previous microblog posts, while the latter is measured by using TF-IDF method. The actual iteration multiplication rule formula is:^{[5]}

Combined with the above contents, the process diagram of microblog theme extraction can be obtained as shown in the figure below. The actual application algorithm is shown in the table below:

Application algorithm

Algorithm 1 Topic derivation process |

INPUT: number of topic k, weibo-weibo relationship matrix A, weibo-term matrix V 1:initialize W, Y and H 2:NMF on A ≈ WY 3:repeat 4:H ← f(V, W, H) 5:until V ≈ WH 6:return W, H |

Based on the above research, the following hypotheses can be put forward for empirical analysis based on corporate social media:

H1: The social media orientation of enterprises will encourage boundary personnel to use social media more to conduct task-type interaction or relationship-type interaction with partners.

H2: The social media capability of enterprises will encourage border personnel to use social media more to conduct task-type interaction or relationship-type interaction with partners.

H3: Boundary personnel of enterprises use social media more to conduct task-type interaction or relationship-type interaction with partners.

H4: Task-based interaction plays a mediating role in the enterprise's social media orientation and social media ability on the cooperative relationship between enterprises.[6]

H5: Relational interaction plays a mediating role in the enterprise's social media orientation and social media capability in the cooperative relationship between enterprises.

According to the proposed hypothesis, 550 complete questionnaires were finally obtained by collecting survey data of Chinese enterprises for verification, and the efficiency of the questionnaire reached 91.2%. Exploratory factor analysis and confirmatory factor analysis were used to study and evaluate the reliability and validity of the scale. Finally, it was found that the square root of the extraction variance of all variables was lower than the correlation coefficient of variables, which indicated that the scale had good discriminant validity. At the same time, using the variance of the opposite sex 2 test method for the analysis of validity, and to measure the content of the two related, to ensure that the limit model of correlation coefficient is 1, the correlation coefficient of freedom of the model evaluation, the comparison results show that the variance of the opposite sex test all have a certain visibility, such as social media guide VS social media can get:^{[7]}

Δ

p<0.001

In order to test the hypotheses proposed above, this paper uses the multivariate hierarchical regression method to conduct in-depth discussion on the orientation, capability, interaction behavior and cooperative relationship of enterprise social media. The specific results are shown as follows:

Data analysis results

variable | TIB |
RIB |
COOP |
COOP |
COOP |
COOP |
COOP |
---|---|---|---|---|---|---|---|

Textile and apparel | −0.068 | −0.106″″ | 0.032 | 0.048 | −0.001 | 0.019 | 0.024 |

mechanical | −0.056 | −0.058 | 0.008 | 0.007 | −0.011 | 0.005 | 0.002 |

Medical apparatus and instruments | −0. 012 | 0.006 | 0.044 | 0.033 | 0.041 | 0.044 | 0.039 |

Electronic products | −0.018 | 0.010 | 0.049 | 0.035 | 0.008 | 0.013 | 0.006 |

Food and beverage | 0. 003 | −0.104″ | −0.061 | − 0.013 | −0. 037 | − 0.038 | −0. 014 |

software | −0.033 | −0.031 | 0.022 | 0.018 | 0.020 | 0.030 | 0.027 |

The sales revenue | −0.187″ | −0. 129″ | −0.194″ | −0.238″ | −0.230″ | −0.177″ | −0.201″ |

The number of employees | 0.064 | 0.034 | 0.096″ | 0.119″ | 0.085″ | 0.066 | 0.077 |

state-owned | 0.036 | 0.013 | 0. 055 | 0.066 | 0.086 | 0.076″ | 0.084″ |

A joint venture | 0.027 | −0.081″ | −0.078″ | −0.027 | −0.033 | −0.041 | −0.015 |

Sole proprietorship | − 0.068 | −0.058 | −0.002 | −0.012 | −0.020 | 0. 000 | − 0.006 |

Social Media Orientation (SMO) | 0.473 ″ | 0.427″ | 0.476 ″ | 0.340″ | 0.378 ″ | ||

Social media Skills (SUC) | 0.199 ″ | 0.232″ | 0.224″″ | 0.167″ | 0.171″ | ||

Task-based interaction behavior (TIB) | 0.531″ | 0.288″ | |||||

Relational interaction behavior (RIB) | 0.493″ | 0.231″ | |||||

Adjust the R | 0.379 | 0. 381 | 0.376 | 0.333 | 0.436 | 0. 487 | 0.468 |

VIF | 1.702 | 1. 702 | 1. 757 | 1.719 | 1. 702 | 1. 760 | 1. 730 |

F | 26.719″ | 26.972″ | 28.593″ | 23.867″ | 33.701″ | 38.221″ | 35.550 |

Combined with the above table analysis, it can be seen that hypothesis H1 and H2 correspond to Model 1 and Model 2. Relevant data verification shows that the orientation and capability of enterprise social media can promote the two kinds of interaction between editors and partners, which proves the validity of the two hypotheses. It is assumed that H3 and H4 correspond to Model 3 and Model 4. Relevant data prove that the influence of two kinds of interaction behaviors on the cooperation between enterprises is significant, and the relationship between them is positive, thus proving that the two hypotheses are valid. For hypothesis H4 and H5 Baron and Kenny the validated method, put forward the model of five enterprises social media orientation and ability to the positive influence to the cooperation between enterprises, while the model 6 is on the basis of the model 5 added task-based interaction behavior, the final result shows that the relationship between the two still has significant influence, However, the regression coefficient is lower than that of Model 5, which proves that task-based interaction has a partial mediating effect between enterprise social media and enterprise cooperation. Model 7 adds relational interaction on the basis of Model 5. The final results show that the relationship between the two still has a significant impact, but the regression coefficient is lower than that of Model 5, which proves that relational interaction has a partial mediating effect between enterprise social media and enterprise cooperation.^{[8,9]}

After clarifying the interaction between enterprise social media and decision-making style, this paper selects Microblogging open API and Python Scrapy tool in the study, and starts with the analysis of real cases. We got 291,816 pieces of data, including 30,599 forwarded microblogs, from the social media platform in the past two days. After obtaining the whole data set, filter and filter the data information, remove unnecessary characters or words, and use Jieba word segmentation tool to process, so as to save and forward the post information of the hashtag separately.

The selected assessment method is compared against common baseline methods in the other two subject extraction areas, as shown below:

On the one hand, it refers to the LDA model, which refers to the Dirichlet distribution function in the probabilistic latent semantic analysis model, and the relevant research content is a further extension of the Dirichlet distribution function. This method will make all the text representation in the text space, so as to achieve the purpose of natural language to statistical modeling, and use the idea of “word bag” to promote the document can side show the distribution of the topic, and the topic in the document can also use the document theme to form.

On the other hand, it refers to NMF algorithm. As an application algorithm with nonlinear minimization as its core, NMF algorithm should meet non-negative constraint conditions during decomposition. After decomposition, the matrix can be used to represent the original matrix and finally achieve the application goal of clustering.[10]

Select the subject label data set manually marked, and use the clustering accuracy level of subordinate content to verify the effectiveness of the application method:

On the one hand, purity index. As the most common clustering evaluation method, purity method has the specific formula as follows:

In the above formula, W={w1, w2 …, wk} represents the set of the KTH cluster in the cluster set, C={c1, c2 …, cj} represents microblog set, cj represents the JTH document, N represents the total number of microblog,

On the other hand, it refers to standard mutual information indicators. Assuming that the joint distribution of the two random variables X and Y is P (X, Y) and the actual marginal distribution is P (X) and P (Y), then the mutual information is the relative entropy of the joint distribution P (X, Y) and the product distribution P (X) × P (Y). The actual formula is as follows:

Standard mutual information is also regarded as normalized mutual information, and the corresponding formula for evaluating clustering results is as follows:

For the evaluation of the manual label data set collected by the Practice Research Institute, the labels of six topics are mainly selected. In order to verify the performance of the application method, the topic is 6 as the experimental input of the three methods. Three algorithms were run for 20 times in the data set, and specific parameters were adjusted scientifically to obtain the best clustering effect. Among them, the average density of non-negative matrix decomposition algorithm in micro-blog relationship matrix and micro-blog keyword matrix can reach 32% and 0.08%, which proves that the data information in micro-blog keyword matrix is too sparse.

Combined with the purity assessment results shown in the following figure, it can be seen that the number of topics and assessment data formulated by the three algorithms are consistent, and the cluster purity obtained by the algorithm proposed in this paper is stronger than that obtained by the other two theme extraction methods, which proves that this clustering method has strong performance.

At the same time, during the experiment assessment analysis standardization of mutual information (NMI) found specific indicators, as shown in the figure below, the evaluation results and purity of NMI evaluation result is the same, this demonstrates that the two methods of baseline is relatively close, and study algorithm is proposed in this paper has the obvious promotion in the NMI index, which proved that this method has validity.

From the analysis of the extraction effect of subject words, it is found that it not only involves the result of subject recognition of microblog data, but also includes the key words of how to express each subject quickly in text data. The research method in this paper is also stronger than the other two baseline methods in terms of subject consistency, which also proves that the research method in this paper has certain practical significance in subject readability.

To sum up, in the context of the development of big data era, enterprise social media platforms have gradually become an important place for users to exchange information and gather ideas. Because it contains a wealth of social relations, personal emotions, social hot spots and other content, so start with the analysis and identification, can provide an effective basis for the economic investment of enterprises. Therefore, it is of practical significance to ensure the accuracy and effectiveness of topic keywords extraction.

#### Data analysis results

variable | TIB |
RIB |
COOP |
COOP |
COOP |
COOP |
COOP |
---|---|---|---|---|---|---|---|

Textile and apparel | −0.068 | −0.106″″ | 0.032 | 0.048 | −0.001 | 0.019 | 0.024 |

mechanical | −0.056 | −0.058 | 0.008 | 0.007 | −0.011 | 0.005 | 0.002 |

Medical apparatus and instruments | −0. 012 | 0.006 | 0.044 | 0.033 | 0.041 | 0.044 | 0.039 |

Electronic products | −0.018 | 0.010 | 0.049 | 0.035 | 0.008 | 0.013 | 0.006 |

Food and beverage | 0. 003 | −0.104″ | −0.061 | − 0.013 | −0. 037 | − 0.038 | −0. 014 |

software | −0.033 | −0.031 | 0.022 | 0.018 | 0.020 | 0.030 | 0.027 |

The sales revenue | −0.187″ | −0. 129″ | −0.194″ | −0.238″ | −0.230″ | −0.177″ | −0.201″ |

The number of employees | 0.064 | 0.034 | 0.096″ | 0.119″ | 0.085″ | 0.066 | 0.077 |

state-owned | 0.036 | 0.013 | 0. 055 | 0.066 | 0.086 | 0.076″ | 0.084″ |

A joint venture | 0.027 | −0.081″ | −0.078″ | −0.027 | −0.033 | −0.041 | −0.015 |

Sole proprietorship | − 0.068 | −0.058 | −0.002 | −0.012 | −0.020 | 0. 000 | − 0.006 |

Social Media Orientation (SMO) | 0.473 ″ | 0.427″ | 0.476 ″ | 0.340″ | 0.378 ″ | ||

Social media Skills (SUC) | 0.199 ″ | 0.232″ | 0.224″″ | 0.167″ | 0.171″ | ||

Task-based interaction behavior (TIB) | 0.531″ | 0.288″ | |||||

Relational interaction behavior (RIB) | 0.493″ | 0.231″ | |||||

Adjust the R | 0.379 | 0. 381 | 0.376 | 0.333 | 0.436 | 0. 487 | 0.468 |

VIF | 1.702 | 1. 702 | 1. 757 | 1.719 | 1. 702 | 1. 760 | 1. 730 |

F | 26.719″ | 26.972″ | 28.593″ | 23.867″ | 33.701″ | 38.221″ | 35.550 |

#### Application algorithm

Algorithm 1 Topic derivation process |

INPUT: number of topic k, weibo-weibo relationship matrix A, weibo-term matrix V 1:initialize W, Y and H 2:NMF on A ≈ WY 3:repeat 4:H ← f(V, W, H) 5:until V ≈ WH 6:return W, H |

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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 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 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