In the era of big data, the application of big data analysis provides a technical carrier for the intelligent development of search engines, and also provides big data support for search engines, which is an important guarantee for promoting the modernization of search engines. At present, with the continuous development of big data technology, the effective introduction of big data analysis, mining and other technologies has transformed the traditional search engine model, through intelligent scientific construction, the service efficiency of the search engine is improved. With the continuous development of the times, the optimization and adjustment of the search engine model is an inherent requirement for future development, we must start from the dimensions of search engine model and service quality, through the continuous improvement of search engine functions, the establishment of an intelligent search engine service system will promote the construction of intelligent search engines.

Search engines such as Google and Baidu have become indispensable assistants for people to access the Internet. Unfortunately, even though users are using search engines every day, they are constantly complaining about search. Because each search results, there are “essence” and “dross”, there is the information you want, and there are things that are completely irrelevant to your goals. An intelligent search system should be able to understand the meaning represented by the user's request, and further, can automatically distinguish its semantics, and implement the search according to the semantics and the semantics of the user's needs. This is the task of intelligent search. Structural equation modeling has been widely used in many fields abroad, for example, social, educational, psychological and other fields. With the extensive application and research of structural equation model by foreign researchers, the importance of structural equation model theory is self-evident, and it has established a high prestige and status in the field of statistics. Structural equation modeling is the Chinese translation of English structural equation modeling (SEM). It is a very general, predominant linear statistical modeling technique. Structural equation modeling is widely used in research in psychology, economics, sociology, behavioral science and other fields. In fact, structural equation modeling is a synthesis of statistical analysis methods in the fields of econometrics, econometric sociology and econometric psychology [1].

However, past modern research has used a large number of contextual terms for data recovery, with exceptions such as data loss, excessive data return, and unaffected data. Although most intelligent researchers now prioritize big data and research data, and use intelligent tools to analyze and analyze user requests, they are also unable to identify and make general knowledge, that is, intelligent research. Machines cannot manage different personal knowledge of different users, experience in different fields in different fields, and special knowledge with different settings. Therefore, how to recover the most important data in various services, especially in the field of technological innovation, if it can provide personalized and precise services, it will become a search hotspot of intelligent search engines [2].

Y Ma et al. believe that the current development of intelligent search engines is mostly based on natural language, and is still dominated by human-computer interaction. Its “intelligent” research mainly focuses on two aspects, the first aspect is the processing mechanism of natural language, such as text classification-based, semantic understanding-based, knowledge base-based, topic-based intelligent search engines, etc., research in this area can enable intelligent search engines to better understand user requests, keywords can be combined according to the user's search purpose [3]. Zhang S et al believe that the development of the theory of structural equations in foreign countries is relatively early. At the beginning of the last century, the theory of structural equations has been initially developed, driven by psychometrics, econometrics, quantitative sociology, statistics, biostatistics, pedagogy, philosophy of natural science, numerical analysis, and computer science, in the 1970s and 1980s, its theory gradually matured and perfected [4]. Sun M et al. believe that the structural equation model is simply solved by using simultaneous equations, but it does not have very strict assumptions. Compared with traditional statistical analysis methods, the structural equation model also allows the existence of measurement errors in independent variables and dependent variables. Structural equation models have other advantages over methods such as multiple regression, path analysis, simultaneous equations in econometrics, and factor analysis[5]. Zhao L and others believe that the demand for talents by intelligent search engines is increasing day by day, and building a good talent training system has played an important role in improving the comprehensive ability of talents. First of all, it is necessary to increase the training of high-quality comprehensive talents, especially for the training of big data technical talents, which can provide talent support for the realization of intelligent search engines under big data [6].

In statistical analysis, even observed differences can be constantly plagued by the problem of measurement error. In normal regression analysis, the results of measurement errors of independent variables will lead to large deviations in the parameter estimates of conventional regression models, resulting in unreliable design models. While routine analysis allows for multiple diagnoses of latent variables, it also controls for error measures, but fails to identify relationships between items. Equivalence modeling, on the other hand, enables scientists to address the problem of error measurement in analysis while identifying model relationships between latent variables. Therefore, the simultaneous equation system of the structural equation model includes the following two types of equations:

(1) Measurement equation

(2) Structural equation

A structural equation is a system of equations that express the relationship between latent variables and latent variables. Equation Description:

Λ_{x} ⇀ The relationship between exogenous indicators and exogenous latent variables

Λ_{y} ⇀ The relationship between endogenous indicators and endogenous latent variables

From these two sets of equations, plus some model settings, through an iterative solution process, each parameter in the structural equation model can be calculated.

In a wide range of social, psychological, and other research, scientists often encounter research-related changes that cannot be accurately and directly measured. These changes are called latent variables, such as intellectual property, educational support, family health, consumer satisfaction, consumer confidence, and more. These latent variables cannot be directly and accurately measured, but can be estimated by some indirect estimation. For example, some visual variables (eg, those that can be identified directly and concisely, rather than latent variables) can be used to measure latent variables. For example, when studying the problem of student achievement [7], researchers can use student achievement on topics such as Chinese, mathematics, genre, etc., and foreign languages (see Different Languages) are an indicator (latent variable) of student achievement. Process identification processes cannot always resolve latent variables well, whereas an equivalent model can control for both latent variables and their measurements. In other words, an equation model is a mathematical model that identifies some relationship related to the underlying discrepancy. In clinical trials, scientists have used many previous evaluation studies (often including regression measures), and although measurement error of change is allowed, in regression models it must be assumed that independent changes are wrongly measured without error, otherwise Regression analysis cannot be performed on the entire model.

In the structural equation model, for each latent variable, there are three calculation models for partial least squares, which can be called as: (1) Mode A partial least squares method, (2) Mode B partial least squares method, (3) Mode A and Mode B mixed partial least squares method, this computational model can be called Mode C partial least squares. In the mode C partial least squares method, in the iterative calculation process, it uses a part of the weight relationship of mode A and mode B respectively. According to the different parts of the selected weight relationship, the researchers divide the Mode C partial least squares method into two categories: One is called mode _{21} partial least squares method; the other is called mode _{12} partial least squares method.

According to the partial least squares method of the three modes mentioned above, the mathematical specifications are written respectively.

(1) Mode A partial least squares method

The mathematical calculation formula (weight relationship) specification of Mode A is as follows:

(2) Mode B partial least squares method

The mathematical calculation formula specification of Mode B is as follows:

(3) Mode C flat least squares method

Mode C partial least squares are further divided into the following two categories:

1) Mode _{21}, Partial Least Squares

Mode _{21}, the partial least squares method is in the iterative calculation, the formula (5) of mode A and formula (7) of mode B are respectively taken as the iterative calculation formula. Therefore, its mathematical formula specification is as follows:

2) Mode _{21} partial least squares method

Mode _{12} partial least squares is an iterative calculation, the formula (4) of mode A and formula (7) of mode B are respectively taken as the iterative calculation formula. Therefore, its mathematical formula specification is as follows:

In the process of partial least squares iterative calculation of structural equations, which mode to choose for iterative calculation is determined according to the specific conditions of the established structural equation model. Which calculation mode is chosen depends on the specific structural equation model. From the mathematical specification of the above three modes, we can know that, the calculation of the iterative process in the partial least squares method in structural equations is carried out, it is mainly based on the basic principles of the structural equation mentioned above: That is, the relationship or related information between each block structure is transmitted through the relationship between latent variables (formula (7)). Therefore, when selecting the partial least squares calculation mode of the structural equation, the relationship between the cross-block structures is actually selected. Take the structural equation model of two structures and two latent variables as an example. After careful analysis and research, we can get the following conclusion: In the structural equation model of two structures and two latent variables, if the choice of the calculation mode is based on the observed variables, it is related to whether the observed variables are exogenous or endogenous. The following is an example of an arrow diagram [8].

Based on the background of big data, the refinement of search engine types can meet the needs of the development of the times, and the progress of intelligence is an important part of the development of search engines in the new era. In the author's opinion, the key to realizing the intelligent search engine framework is to improve the framework of the big data intelligent search engine, and to improve the performance of the intelligent search engine by regularly updating the function. Therefore, especially the intelligent search engine under the background of big data analysis, can be developed from the following aspects.

The key to the realization of intelligent search engines is to strengthen the effective integration, integration and optimization design of core technologies, and to provide complete technical support for intelligent search engines. In practical research, it is found that the application dimension of intelligent search engine in big data analysis is relatively narrow, it can be effectively imported through multi-level technology, can better improve the level of intelligence, provide good environmental conditions for the intelligent construction of search engines. As shown in Figure 1, it is an intelligent search engine system based on big data analysis. It can be seen from this that in the intelligent search engine system, through the Internet, big data platform and data source import, it provides search engines with functions such as “data search”, “data acquisition” and “data classification”, the intelligent search and its system functions are ensured. In the process of building an intelligent search engine, the core technology lies in the effective implementation of data storage, modification, etc., to achieve data indexing and classification navigation. Therefore, in the process of building an intelligent search engine, the effective introduction of big data analysis provides data and platform carriers for the realization of intelligent functions, and meets the needs of intelligent development [9].

Search engine optimization is an important part of improving search engine performance and provides good support for achieving a clear definition of services. According to the research, we need to pay attention to the scientific use of these services for the import function of intelligent search engines. In the analysis of massive information, we should constantly improve the function system of search engines to know. Features of Smart Services Research. First of all, when using an intelligent search engine in big data analysis, you should pay attention to the function of the search engine, and improve the performance of the search engine by regularly improving the performance. The second is to complete the introduction of specific services based on big data analysis and performance to improve the operational efficiency of intelligent search engines. Finally, the generation of search engines should pay attention to the development of differentiated content, and ensure the efficiency of big data intelligent research by writing good and complete data.

According to the “ScholarSpace” website developed by the Network and Mobile Data Management Laboratory (WAM-DM) of Renmin University of China, combined with the development characteristics of the computer field, big data analysis and as a technical process can be divided into two. It is divided into four stages: data Aggregation and Collection of Data, Processing and Aggregation of Data, Analysis of Data and Interpretation of Data.

(1) Data integration and collection.

Data integration and collection is the basic work of the big data processing process, at present, the commonly used data collection methods include sensor collection, radio frequency identification technology, data retrieval and classification, etc.

(2) Data processing and integration.

After the data is mixed and compiled, the data needs to be merged. The purpose is to merge independent and uninterrupted data and share it completely. It not only solves the problem of data distribution and heterogeneity, but also recognizes the characteristics of high efficiency and easy management and management of data. Data processing and integration are generally divided into two approaches: extraction and filtering [10].

(3) Data analysis.

Data analysis refers to the processing of filtered data by means of data mining, intelligent algorithms, statistical analysis, etc., based on mathematics, through machine processing of natural language, analyzing the logical relationship between the data, and mining the potential laws of the data.. data, and summarize to form guiding conclusions. This is the core part of the whole big data processing pipeline. There are many ways and methods of data analysis, including professional analysis software, such as QlikTech, etc.; there are also artificial modeling methods, such as mathematical modeling; and neural network methods for knowledge self-improvement.

(4) Data interpretation

Translating data is an important part of the big data production process, and it is a process of using data to cultivate skills. The retrieval process is usually divided into two stages. First of all, in professional research, the big data search engine will convert hard data into design data for filtering according to the intended purpose to ensure the availability and reliability of the data. Currently, one practice is to create filters when processing data, data and products are not programmed according to the laws of aggregation or integration. Research has been carried out to ensure the success of the research; the second is searching on cloud storage and cloud computing platforms. Use data distribution, batch processing and other technologies to analyze and process the data, enter the platform, dynamically modify the retrieval strategy according to the user's needs and expectations for the content, identify and publish the preliminary evaluation results; Data that meets recovery needs is released directly. Otherwise, the content needs to be updated according to the user's recovery needs until the results are received.

The author has been on the big data management platform of Siping Fire Bureau, the function of the big data intelligent search engine based on partial least squares structural equation algorithm is verified. It includes four sub-platforms: application platform, data management and control platform, system platform and business platform. Among them, the application platform includes indicator management, portal website, platform interface, etc.; The data management and control platform includes data map, data query, data encryption, data collection configuration, data conversion, etc.; The system platform includes log components, metadata management, user permissions, task scheduling, semantic analysis, etc.; The business platform includes basic database, office database, public service database, etc. When conducting intelligent search on the management platform, users only need to enter the platform through a browser, no need to install special plug-ins, from the vertical and horizontal perspectives, the big data intelligent search engine based on partial least squares structural equation algorithm is verified on the big data management platform of Siping Fire Bureau, that is, it is verified separately on different orders of magnitude and on different search engines[11].

In this part of the verification, the corresponding order of magnitude is measured by selecting the number of databases in the big data management platform of Siping Fire Bureau, 5G only corresponds to basic database, 100G corresponds to basic database + office database + public service library, 25T corresponds to system platform + data management and control platform, 50P corresponds to data management and control platform + system platform + business platform, the comparison of the search results is shown in Table 1. As can be seen from Table 1, with the continuous increase of the data order of magnitude, the advantages of the big data intelligent search engine based on the partial least squares structural equation algorithm are more obvious, there are significant improvements in retrieval time, precision and recall [12].

Search comparison of different orders of magnitude

Data storage | Search time(s) | Accuracy (%) | Recall rate (%) |
---|---|---|---|

5G | 1.257 | 83 | 53 |

100G | 0.756 | 88 | 87 |

25T | 0.423 | 92 | 91 |

50P | 0.0758 | 96 | 98 |

The “Rush” of the intelligent search engine based on the fractional square structural equation algorithm, the big data intelligent search engine and the big data search engine are still retrieved respectively, and the acquisition rate is shown in Table 2.

Search engine retrieval comparison

Smart search engine | Big data intelligent search engine | Big data intelligent search engine based on differential evolution algorithm | |
---|---|---|---|

Search time(s) | 1.014 | 0.7834 | 0.00658 |

Accuracy (%) | 80 | 90 | 89 |

Recall rate (%) | 78 | 83 | 85 |

By comparing the experimental data, it can be seen that the least squares model equation algorithm is used in the big data search engine, and the recovery time is short and the volume is large in the case of real integrity[13]. Data search engines are more in line with the needs of users, unlike ordinary research, which mixes data that users do not need, which greatly improves the overall efficiency of retrieval. From another point of view, the big data search engine based on the minimum partial equivalent algorithm also improves user satisfaction, and the specific functions are as follows. (1) In terms of personalized service, the big data search engine based on partial least squares structural equation algorithm adopts the coding method, focusing on the information characteristics of retrieval conditions, through big data processing technology, the filtering of information is realized, and the personalized service is closer to the needs of users. (2) In terms of quality and quantity, the focus of big data search engines based on partial least squares structural equation algorithm is the accuracy of search results, as the order of magnitude is larger, the retrieval advantage is more obvious. (3) In terms of architecture, the big data search engine based on partial least squares structural equation algorithm drives the search mode through “Internet + big data + algorithm”, with a distributed architecture, the search efficiency is significantly improved. (4) In terms of carrier, the big data search engine based on partial least squares structural equation algorithm, through the organic combination of DE algorithm and online and offline behavior data, it provides users with more comprehensive search results [14].

The author studies from two aspects of intelligent search engine architecture, technology and self-service, and the big data search engine algorithm is ready as part of the least squares structural equation. From the perspective of improving cost accuracy, cost recovery, and reducing return time, we use technology to output commitments based on intelligent search engines, DE algorithms and big data analysis. Search engines can not only quickly respond to consumers' needs, but also promote the integration of intelligent search in the Internet age. The search engine requested by the author has verified the authenticity of the big data management platform of Siping Fire Bureau, and the results show that the search engine is the search engine with the best search results and is close to the needs of users. However, the research of intelligent search engine is still an important work after all, the author of the document is to display the results of the PC in the text. With the advancement of mobile Internet, Internet of Things and other technologies and barcode technology, we can further optimize the algorithm of relatively small block structure, increase the functional modules of the control platform, and realize the automatic writing and writing of retrieval records., visual retrieval of knowledge, and gradually explore industry types.

#### Search engine retrieval comparison

Smart search engine | Big data intelligent search engine | Big data intelligent search engine based on differential evolution algorithm | |
---|---|---|---|

Search time(s) | 1.014 | 0.7834 | 0.00658 |

Accuracy (%) | 80 | 90 | 89 |

Recall rate (%) | 78 | 83 | 85 |

#### Search comparison of different orders of magnitude

Data storage | Search time(s) | Accuracy (%) | Recall rate (%) |
---|---|---|---|

5G | 1.257 | 83 | 53 |

100G | 0.756 | 88 | 87 |

25T | 0.423 | 92 | 91 |

50P | 0.0758 | 96 | 98 |

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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 -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 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