With the further development of science and technology , under the background of the information age , from the perspective of the current situation of education, the content of teaching in English-medium colleges  is mixed. Most of the learning during school is for grades, and many students do not have the ability to learn independently . At present, the main purpose of educational reform  is to teach students to learn and regard it as one of the highest goals of educational pursuit . The promulgation and implementation of some laws and regulations is to make students’ learning play a substantial role  and advocate independent, exploratory and cooperative learning methods [8, 9]. Especially in teaching how to read English , as English is the universal language in the world, reading  is considered a basic skill. It is not only the main way for students to get in touch with foreign languages , but it is also a way for students to master language knowledge , the basis for acquiring information and improving language ability . Therefore, reading in English-medium college is an important means to cultivate high-quality talent exchanges  and enhance international competitiveness .
Literatures  and , based on descriptive research, propose schema theory as an effective learning process to improve students’ reading ability and improve their reading ability. Literature  proposes the exploration of the teaching mode in English-medium colleges under the network teaching mode. Yuxuan  examines reading comprehension strategies and interactive vocabulary to improve students’ reading ability, adding to research on designing and using digital texts for different learners. Xiaoling and Xiaomin  established a teaching model based on the independence and dependence of students’ learning. Jing  proposed a new mode of reading in English-medium colleges under the network collaborative learning (CL) mode, aiming to build a good learning environment for students. Zhang and Hung  studies the characteristics of students’ learning, procedures and task design and conducts written tests, oral tests and interviews on the collected data. Based on the feasibility of task-based teaching applied to large-scale language teaching, it reveals the practicality of task-based teaching. Barnard and Nguyen , aiming at the task-based teaching model, aims to explore teachers’ understanding of educational reform in their specific context and introduces and establishes a ‘narrative’ framework based on teachers’ knowledge and attitudes, that is, teachers are required to self-evaluate their teaching. Lian et al.  collects opinions on authentic language learning, self-directed learning, CL and English self-efficacy and constructs a structural equation model to facilitate online learning of language learners. The process is better understood. Foreign scholars Yelland and others conducted research on scaffolding teaching in the context of the internet in 2007. They believe that teachers build scaffolding for students in the network environment, which enriches the types of scaffolding activities, enhances students’ interest in learning and obtains a sense of learning achievement. Wallace pointed out in the 1990s that the English reading strategy is that in the process of reading, where learners ‘can selectively use certain reading methods according to different chapter types, content and reading purposes’. In the same year, Johnson et al. believed that reading strategies in English are ‘behavioural processes taken by learners to solve difficulties in reading’. It includes not only some skills in reading but also the selective and controlled behaviour that readers take to achieve the intended reading purpose. In 2017, domestic scholar Wang Xiangyi combined the internet with scaffolding teaching and applied it to English teaching. Research shows that internet-based scaffolding teaching can help improve students’ learning interest and performance.
The previous article summarises the research of domestic and foreign scholars. Most of these research results have contributed to the research of teaching of how to read in English in colleges. However, with the development of the times, teaching how to read English is not limited to the research results of predecessors. The research methods in the early years could not fully stimulate the interest of college students in learning English and mobilise the enthusiasm of autonomous learning. Therefore, this paper proposes a teaching method of reading English in colleges based on the GLE teaching model and integrates the GLE teaching model in colleges which teach how to read English, which can not only fully mobilise the enthusiasm of college students for reading English, improving performance of reading English, but also reduce the relative learning relative. The error also has obvious effects. The research in this paper is of great significance for the related research in the same field in the future.
The core of the GLE teaching model lies in the design of each link problem. The subject of education must have levels and progressions when designing problems, so as to achieve the teaching objectives of each link and obtain the best teaching effect. The teaching mode is shown in Figure 1.
Figure 1 shows that the teaching mode of GLE first carefully introduces the content in English by guiding the preview, creating a situation and combining guidance and release, and guides students to enter the content of English reading; secondly, through listening training, cooperative grouping and follow-up imitation, etc., it improves students’ overall perception of English reading content and promotes the resolution of doubts in the classroom; through subject integration, cooperation and communication between groups and comments on classroom content, the sublimation of teachers’ guidance in the classroom is completed; finally, through the creation of language environment, the content of the class is summarised and classwork is assigned, etc. to achieve the extension of the English reading class and the summary of the class content.
The probability of the
The state transition matrix must be a probability matrix; so, the following conditions need to be met:
In the matrix, each element The addition of elements in each row of the matrix is equal to 1, that is,
In the matrix, each element
The addition of elements in each row of the matrix is equal to 1, that is,
After a period of time, the
In order to determine the primary transition matrix of the English teaching model, the probability of the relative state changes that of the stationary, increasing and decreasing English learning scale from 2012 to 2018 should be assumed first. Set the rate of change as follows:
According to the idea of the least squares method, the constraints are introduced into the model at the same time, and a
Based on this, the quadratic programming model is established as follows:
The purpose of this step is to find the membership function in the input space and the output space. Specifically, it is to cluster the training data, and each class corresponds to a fuzzy subset. The so-called clustering is to group the relatively close samples into one group. However, most of the input and output space division numbers (cluster numbers) are given in advance, which inevitably has a certain blindness, which directly affects the extraction quality of planning. Therefore, this paper adopts a density-based and grid-based clustering method to determine the initial cluster centre and the number of cluster centres, which can automatically divide the sample space and divide it in the sample space. Clustering learning time and other aspects have obvious advantages.
The transfer function of the first hidden layer node adopts the Gauss function, which is a kind of radial basis function, and the node output is written as follows:
As shown in Figure 2, the overlap is 0.45. In fuzzy control, the degree of overlap is an important factor that affects the control performance. If the overlap is too large or too small, the control effect will be reduced. Usually, it should be controlled at about 0.45. Based on this principle, this paper deduces the formula of the initial expected value.
Suppose the distance between any two adjacent cluster centres is as follows:
The radial basis function corresponding to the cluster centre is
At this time, the available public statements are:
Therefore, for the RBF network in this paper, the expected value is written as follows:
It is referred to here as the overlap coefficient
In the forward propagation process, the input signal is processed one by one from the input layer and transmitted to the output layer, and the state of neurons in each layer only affects the state of neurons in the next layer. If the expected output cannot be obtained at the output layer, it will turn to back propagation and return the error of the output signal along the original connection path. By modifying the weights of neurons in each layer, the error signal is minimised. The output error evaluation function can be expressed as follows:
And adjust the weights on the connection so that the parameters of the membership function can be determined by learning from the measured data (learning samples), and the position and shape of the membership function can be adjusted.
English learning process ciki and At that time, ΔE( At that time, ΔE(
At that time, ΔE(
At that time, ΔE(
Among them, ΔE(
The heterogeneous encoding of multiple English words can be converted into a binary tree structure. All words correspond to the leaf nodes of the tree. The distance between the nodes where different word encodings are located on the tree represents the similarity between words, for example, for vocabulary
In the above formula,
In the above formula,
After the vocabulary is vectorised, it is equivalent to establishing a mapping relationship between the vocabulary and the vector. Due to the natural operational properties between the vectors, the vocabulary vector forms a space. The similarity between words can be represented by the positional relationship of their corresponding word vectors in space. Use
The more similar two vectors in the vocabulary vector space, the smaller the angle, the higher the similarity. For the word sense similarity based on knowledge ontology, the result is recorded as
For each state
The reinforcement model part, the input (
For the data given above, the different environmental observations in the corresponding reinforcement learning model are calculated, where
When using this strategy, if the final result is a negative number, the similarity value is 0 because the similarity cannot be negative, which shows negative effects.
In order to verify that the GLE teaching mode proposed in this paper has the best effect in colleges teaching how to read English, it is necessary to construct an experimental class (GLE teaching mode) and a control class (traditional teaching mode) in a university. There are 59 people in the experimental class and 61 people in the control class. Taking these two classes as a system and the students of these two classes as learning samples, we analyse the effectiveness of the membership function learning of the GLE teaching model implement the GLE teaching model proposed in this paper and the traditional teaching model in the two experimental classes. After 28 days of teaching, the English reading test scores of the experimental class and the control class were compared.
In order to verify the effectiveness of the GLE teaching model in this paper in terms of membership function learning, the RBF network designed for the problem needs to be a two-input single-output network, which represents the following relationship:
On this function, the learning samples are randomly changed. Assume that the distribution and size of the membership function of
In the effectiveness experiment of membership function learning, the membership distribution in Figure 3(a) is between −2 and 1, while in Figure 3(a) after the teaching mode of this paper, the original membership distribution is analysed. It is automatically adjusted, and its membership degree is distributed between 0 and 1. Therefore, it shows that, using the GLE teaching mode proposed in this paper, after learning the learning samples of the experimental class and the control class, the membership function after the learning adjustment can be automatically obtained. And the distribution range of the membership function will also be changed; at the same time, it can be seen from Figure 4 that the relative error of the fuzzy system output curve to the original nonlinear analytic function curve is between 0 and 0.6, that is, within the allowable range. The overall trend of the curve is a downward trend, indicating that the use of the GLE teaching mode proposed in this paper will promote the relative error of the output curve of the fuzzy system to the original nonlinear analytic function curve to become smaller and smaller; so, the GLE teaching mode membership function learning is obviously effective.
According to the introduction of the teachers of the two classes, the observation of the author in the classroom, and the comparison of the reading scores of the students in the two classes the average scores of the students in the two classes in the reading part of the English final exam are similar, and the students’ conditions are basically similar. The author randomly selects class 1 to conduct task-based teaching experiments, namely the experimental class, while class 2 maintains the previous traditional teaching mode, that is, the control class. The number of students in the two classes was 59 (experimental class) and 61 (control class). According to the teaching plan, the weekly class hours of both classes are 4 periods, and the teaching order is normal in the experimental stage. First of all, two classes should be pre-tested, and the pre-test results are shown in Table 1.
Descriptive statistics of English reading pre-test scores
|Pre-test results||Control class||61||65.3765||8.6715||1.0115|
Table 1 shows the basic statistics of the analysis variables: the number of samples covering the two groups (N), the sample mean score (mean), the standard deviation of the sample (std. deviation) and the standard error of the mean (std. error mean). As can be seen from Table 1, the average grades of the two classes are very close, which are 65.3765 and 64.2509, respectively, for control and experimental classes. Then the independent sample t-test for the English reading pre-test scores of the two classes is shown in Table 2.
Independent sample t-test for English reading pre-test scores
|Pre-test results||Equal variances assumes||2.997||0.079|
|Pre-test results||Equal variances assumes||0.378||126.241||0.687||0.5567||1.4497||−2.21176||3.34738|
|Equal variances not assumed||0.388||125.221||0.689||0.5567||1.41089||−2.13512||3.27075|
Table 2 shows the results of the independent sample t-test. According to the relevant theoretical analysis of statistics, in the independent sample T test, the significance level of the homogeneity test is 0.079>0.05, indicating the homogeneity of variances. Therefore, the hypothesis of homogeneity of variances is correct corresponding to a row of T test results. The significance level is 0.687>0.05; so, under the 95% confidence level, this means that there is no significant difference in the English reading test scores of the two classes (that is, the English reading levels of the two classes are equivalent), that is, the two classes are parallel classes.
The teaching steps of the experimental class are divided into the following steps:
According to the content to be read in this class and the actual situation of the students, the author and the teacher have designed the following activities to activate the students’ background knowledge so as to attract their attention to the content to be read this time. The teacher speaks in English a small story of the Three Kingdoms period, the burning of Shangfang Valley. Because this story is familiar to everyone, students can understand it when it is told in English. The story immediately aroused widespread interest, and many students expressed their views on it. Then, in this case, the teacher takes the time to ask the students the questions:
Due to the interestingness of the story itself and the students’ interest just aroused, they soon relaxed their usual nervousness in the classroom and began to express their opinions. In this process, teachers focus on guiding students to think about the second question, and in this process, taking advantage of the opportunity that students do not know how to express some words, they also introduce some words that will appear in the reading materials so that they can be read for the next step. The text material lays the foundation.
In order to facilitate group cooperation in the classroom, the teacher divides the 59 students in the class into 10 groups according to certain requirements before class and then asks them to quickly read the text within 3 min, and then find out the article to tell after reading it. General meaning.
The purpose of speed reading is to help students understand as much key information as possible within a limited time, which is conducive to improving students’ reading speed and enabling them to develop good reading habits.
After 3 min, most of the students can complete the reading of the full text and comprehend the general idea. At this time, the teacher arranges the students to sort out and discuss the main content in divided groups so that they can form a more accurate understanding of the content of the text. After the discussion, it is the reporting time of each group. Each group will send a representative to report the results of the group discussion to the whole class. The teacher and other students listen to the report together. During this process, the atmosphere of the whole class is relatively active, and students can put forward their own questions and suggestions after obtaining the consent of the speaker. In this way, students can compare the oral reports of each group on the basis of listening carefully and supplement and improve their own views while learning about other students’ different views and perspectives on the same issue and can also communicate with each other. They learn the characteristics of each other's language expression. For the mistakes made by the speakers, teachers and peers give them timely corrections and feedback. Of course, all corrections are based on the actual situation of the text. Through this process, the students’ ability to generalise and summarise has been improved, and they have also developed a good habit of brainstorming. More importantly, they have learned how to find and express the general idea of reading articles in English, which ultimately strengthened their participation in the classroom. Positivity, exercise their oral expression ability.
After completing the overall grasp and subsection understanding, students can get feedback on the mastery of the article through practice. At this time, according to the content of the article and combined with the exercises after class, the teacher still adopts the form of group cooperation and assigns new tasks to the students: find out the similarities and differences between Napoleon and Hitler's invasion of Moscow and then divide the group separately. With this task, the students immediately threw themselves into the search and discussion in full swing. After the discussion, according to the students’ discussion results and the actual content of the text, teachers and students completed the following table together. The purpose of this is to allow students to complete the exercises for the new learning based on the knowledge and content they have already mastered. The knowledge can be consolidated in time, so as to realise the transfer of knowledge.
After 28 days of teaching how to read English for college students using the GLE teaching mode and the traditional teaching mode, the instructors will prepare and mark the questions in person. The two classes use the same set of test papers for reading tests. SPSS11.5 software performs statistics as shown in Table 3.
Descriptive statistics of English reading post-test scores
|Post-test scores||Control class||61||67.2627||6. 44110||0.75057|
Table 3 shows that when the test questions and other conditions are consistent, the final reading scores of the two classes have improved, but the average scores of the two classes have a large gap, which is 67.2627 for the control class and 89.5371 for the experimental class. Compared with the control class, the average score was improved by 22 points. Then, the independent sample t-test for the English reading post-test scores of the two classes is shown in Table 4.
Independent sample t-test for English reading pre-test scores
|Post-test scores||Equal variances assumes||3.771||0.049|
|Post-test scores||Equal variances assumes||−8.465||126.241||0. 000||−9.1980||1.07443||−11.34607||−7.05000|
|Equal variances not assumed||−8.706||125.221||0.000||−9.1980||1.04471||−11.28750||−7.10847|
It can be seen from Table 4 that the significance of the homogeneity test is 0.051>0.05 in the independent sample T test of the post-experiment test at the end of the period, indicating the homogeneity of variance. Therefore, the hypothesis of homogeneity of variance is established, and the corresponding line of T test result is correct; the significance level is 0.000<0.05; so, under the 95% confidence level, there is a significant difference in the final grades of the two classes, which shows that the GLE teaching model proposed in this paper is more effective than the traditional mode.
With the rapid development of the economic era and the high-tech era, the country needs more scientific and technological talents who can master English and push China to the forefront of the world, and the traditional English education model has been unable to follow the rapid pace of the high-tech era; so, ‘The proposal of Protestant Reform’ is also a requirement for the development of the times and the revitalisation of the country. This paper breaks through traditional thinking and integrates the GLE teaching model into colleges teaching how to read English. First, the state of the system reaches other states after one transition, and the stable state of the system is obtained to realise the state transition probability matrix; then, the training data are clustered by the membership function; finally, the weights of neurons in each layer are modified by adjusting the membership function so that the error signal is minimised, and the parameters of the membership function are determined by learning, the position and shape of the membership function are adjusted and finally the strategy is obtained after training, and the GLE teaching model is finally obtained after training. Experiments show that after learning the learning samples, the membership distribution is automatically adjusted from the original −2 to 1, and the membership distribution is between 0 and 1. Therefore, using the GLE teaching model proposed in this paper it can be automatically obtained. After learning the adjusted membership function, the relative error also showed a significant downward trend; in the actual teaching experiment, after using the teaching mode of this paper and the traditional teaching mode, the average score of the experimental class was improved by 22 points compared with the control class. And the significance level is 0.000 <0.05; so, under the 95% confidence level, the final grades of the two classes are significantly different; so, the GLE teaching mode membership function learning is obviously effective; thus, the teaching mode proposed in this paper will be used in the future. It has far-reaching significance in the teaching of English reading.
Descriptive statistics of English reading post-test scores
|Post-test scores||Control class||61||67.2627||6. 44110||0.75057|
Descriptive statistics of English reading pre-test scores
|Pre-test results||Control class||61||65.3765||8.6715||1.0115|
Independent sample t-test for English reading pre-test scores
|Post-test scores||Equal variances assumes
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Strength and Flexibility Training in Aerobics Course Based on Lagrangian Mathematical Equation Data structure simulation for the reform of the teaching process of university computer courses RETRACTION NOTE Research on the mining of ideological and political knowledge elements in college courses based on the combination of LDA model and Apriori algorithm Research on non-linear visual matching model under inherent constraints of images Good congruences on weakly U-abundant semigroups Can policy coordination facilitate unimpeded trade? An empirical study on factors influencing smooth trade along the Belt and Road Research on the processing method of multi-source heterogeneous data in the intelligent agriculture cloud platform Internal control index and enterprise growth: An empirical study of Chinese listed-companies in the automobile manufacturing industry Research on design of customer portrait system for E-commerce Research on rule extraction method based on concept lattice of intuitionistic fuzzy language Fed-UserPro: A user profile construction method based on federated learning A multi-factor Regression Equation-based Test of Fitness Maximal Aerobic Capacity in Athletes Design and evaluation of intelligent teaching system on basic movements in PE Garment Image Retrieval based on Grab Cut Auto Segmentation and Dominate Color Method Financial Risk Prediction and Analysis Based on Nonlinear Differential Equations Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching Multiple Effects Analysis of Hangzhou Issuing Digital Consumer Coupons Based on Simultaneous Equations of CDM Model Response Model of Teachers’ Psychological Education in Colleges and Universities Based on Nonlinear Finite Element Equations A Hybrid Computational Intelligence Method of Newton's Method and Genetic Algorithm for Solving Compatible Nonlinear Equations Pressure Image Recognition of Lying Positions Based on Multi-feature value Regularized Extreme Learning Algorithm English Intelligent Question Answering System Based on elliptic fitting equation Precision Machining Technology of Jewelry on CNC Machine Tool Based on Mathematical Modeling Application Research of Mathematica Software in Calculus Teaching Computer Vision Communication Technology in Mathematical Modeling Skills of Music Creation Based on Homogeneous First-Order Linear Partial Differential Equations Mathematical Statistics Technology in the Educational Grading System of Preschool Students Music Recommendation Index Evaluation Based on Logistic Distribution Fitting Transition Probability Function Children's Educational Curriculum Evaluation Management System in Mathematical Equation Model Query Translation Optimization and Mathematical Modeling for English-Chinese Cross-Language Information Retrieval The Effect of Children’s Innovative Education Courses Based on Fractional Differential Equations Fractional Differential Equations in the Standard Construction Model of the Educational Application of the Internet of Things Optimization research on prefabricated concrete frame buildings based on the dynamic equation of eccentric structure and horizontal-torsional coupling Optimization in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics Green building considering image processing technology combined with CFD numerical simulation Research on identifying psychological health problems of college students by logistic regression model based on data mining Abnormal Behavior of Fractional Differential Equations in Processing Computer Big Data Mathematical Modeling Thoughts and Methods Based on Fractional Differential Equations in Teaching Research on evaluation system of cross-border E-commerce platform based on the combined model A mathematical model of PCNN for image fusion with non-sampled contourlet transform Nonlinear Differential Equations in Computer-Aided Modeling of Big Data Technology The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping Financial customer classification by combined model Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Recognition of Electrical Control System of Flexible Manipulator Based on Transfer Function Estimation Method Automatic Knowledge Integration Method of English Translation Corpus Based on Kmeans Algorithm Real Estate Economic Development Based on Logarithmic Growth Function Model Design of Tennis Mobile Teaching Assistant System Based on Ordinary Differential Equations Financial Crisis Early Warning Model of Listed Companies Based on Fisher Linear Discriminant Analysis High Simulation Reconstruction of Crowd Animation Based on Optical Flow Constraint Equation Construction of Intelligent Search Engine for Big Data Multimedia Resource Subjects Based on Partial Least Squares Structural Equation 3D Animation Simulation of Computer Fractal and Fractal Technology Combined with Diamond-Square Algorithm Analysis of the Teaching Quality of Physical Education Class by Using the Method of Gradient Difference The Summation of Series Based on the Laplace Transformation Method in Mathematics Teaching Optimal Solution of the Fractional Differential Equation to Solve the Bending Performance Test of Corroded Reinforced Concrete Beams under Prestressed Fatigue Load Animation VR scene mosaic modeling based on generalized Laplacian equation Radial Basis Function Neural Network in Vibration Control of Civil Engineering Structure Optimal Model Combination of Cross-border E-commerce Platform Operation Based on Fractional Differential Equations The influence of accounting computer information processing technology on enterprise internal control under panel data simultaneous equation Research on Stability of Time-delay Force Feedback Teleoperation System Based on Scattering Matrix BIM Building HVAC Energy Saving Technology Based on Fractional Differential Equation Construction of comprehensive evaluation index system of water-saving irrigation project integrating penman Montei the quation Human Resource Management Model of Large Companies Based on Mathematical Statistics Equations Data Forecasting of Air-Conditioning Load in Large Shopping Malls Based on Multiple Nonlinear Regression Analysis of technical statistical indexes of college tennis players under the win-lose regression function equation Automatic extraction and discrimination of vocal main melody based on quadratic wave equation Analysis of wireless English multimedia communication based on spatial state model equation Optimization of Linear Algebra Core Function Framework on Multicore Processors Application of hybrid kernel function in economic benefit analysis and evaluation of enterprises Research on classification of e-commerce customers based on BP neural network The Control Relationship Between the Enterprise's Electrical Equipment and Mechanical Equipment Based on Graph Theory Mathematical Modeling and Forecasting of Economic Variables Based on Linear Regression Statistics Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System Fractional Differential Equations in Electronic Information Models BIM Engineering Management Oriented to Curve Equation Model Leakage control of urban water supply network and mathematical analysis and location of leakage points based on machine learning Analysis of higher education management strategy based on entropy and dissipative structure theory Prediction of corporate financial distress based on digital signal processing and multiple regression analysis Mathematical Method to Construct the Linear Programming of Football Training Multimedia sensor image detection based on constrained underdetermined equation The Size of Children's Strollers of Different Ages Based on Ergonomic Mathematics Design Application of Numerical Computation of Partial Differential Equations in Interactive Design of Virtual Reality Media Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Knowledge Analysis of Charged Particle Motion in Uniform Electromagnetic Field Based on Maxwell Equation Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Term structure of economic management rate based on parameter analysis of estimation model of ordinary differential equation Influence analysis of piano music immersion virtual reality cooperation based on mapping equation Chinese painting and calligraphy image recognition technology based on pseudo linear directional diffusion equation Label big data compression in Internet of things based on piecewise linear regression Animation character recognition and character intelligence analysis based on semantic ontology and Poisson equation Design of language assisted learning model and online learning system under the background of artificial intelligence Study on the influence of adolescent smoking on physical training vital capacity in eastern coastal areas Application of machine learning in stock selection Comparative analysis of CR of ideological and political education in different regions based on improved fuzzy clustering Action of Aut( G) on the set of maximal subgroups of p-groups Research on loyalty prediction of e-commerce customer based on data mining Algebraic Equations in Educational Model of College Physical Education Course Education Professional English Translation Corpus Under the Binomial Theorem Coefficient Geometric Tolerance Control Method for Precision Machinery Based on Image Modeling and Novel Saturation Function Retrieval and Characteristic Analysis of Multimedia Tester Based on Bragg Equation Semiparametric Spatial Econometric Analysis of Household Consumption Based on Ordinary Linear Regression Model Video adaptive watermark embedding and detection algorithm based on phase function equation English Learning Motivation of College Students Based on probability Distribution Scientific Model of Vocational Education Teaching Method in Differential Nonlinearity Research on mobile Awareness service and data privacy Protection based on Linear Equations computing protocol Vocal Music Teaching Model Based on Finite Element Differential Mathematical Equations Studying a matching method combining distance proximity and buffer constraints The trend and influence of media information Propagation based on nonlinear Differential equation Research on the construction of early warning model of customer churn on e-commerce platform Evaluation and prediction of regional human capital based on optimised BP neural network Study on inefficient land use determination method for cities and towns from a city examination perspective A study of local smoothness-informed convolutional neural network models for image inpainting Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Application of Nonlinear Differential Equation in Electric Automation Control System Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Computational Algorithm to Solve Two–Body Problem Using Power Series in Geocentric System Decisions of competing supply chain with altruistic retailer under risk aversion Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations The Marketing of Cross-border E-commerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory Application of Linear Partial Differential Equation Theory in Guiding Football Scientific Training Nonlinear Channel Estimation for Internet of Vehicles Some Necessary Conditions for Feedback Functions of de Bruijn Sequences The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function System Model of Shipping Enterprise Safety Culture Based on Dynamic Calculation Matrix Model An empirical research on economic growth from industrial structure optimisation in the Three Gorges Reservoir area The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Analysis and Research on Influencing Factors of Ideological and Political Education Teaching Effectiveness Based on Linear Equation Study of agricultural finance policy information extraction based on ELECTRA-BiLSTM-CRF Fractional Differential Equations in Sports Training in Universities Examination and Countermeasures of Network Education in Colleges and Universities Based on Ordinary Differential Equation Model Innovative research of vertical video creation under the background of mobile communication Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Chinese-English Contrastive Translation System Based on Lagrangian Search Mathematical Algorithm Model Genetic algorithm-based congestion control optimisation for mobile data network