Nonlinear differential and integral equations have been a key in the various fields of Engineering, Physics, Life Sciences, and Mathematics. There is no general method to solve the nonlinear differential equations. Also, it is not possible to convert a nonlinear differential equation into an appropriate form using variable transformations and sometimes not possible to get the close form analytical solution of the nonlinear differential equations. George Adomian developed a numerical method from 1970 to 1990. The important feature of the method is the deputation of ‘Adomian polynomials’, which acknowledge the approximation of nonlinear part without using perturbation and linearisation techniques. In articles [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], a number of renowned nonlinear problems have been solved by some other efficient numerical methods.
However, numerical and analytical methods are not limited in the fields of ODE(s) and PDE(s), but may have a crucial role in the field of nuclear magnetic resonance, astrophysics, cold plasma, porous media, and physics through fractional differential equations [12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]. In spite of these abovementioned methods, AIM  is getting a lot of attention in getting the solution for nonlinear differential equations. However, this method works for a small interval only. But to find a numerical solution for a large interval using AIM, we have to use large number of components. So, in most of the problems, after some iterations, either mathematical software declines to give the solution for a given problem or the iterations become so much complicated to move to successive steps of the solution. In Multistage Adomian Method , a comparatively large interval is split into a number of small subintervals and these small subintervals are used to find the solution.
The objective of this article is to solve a nonlinear problem for a large interval using AIM. In the present work, we introduce MMIM, developed by using AIM in each of subinterval separately. Therefore, MMIM is helpful to find the solution in a comparatively large interval in comparison to AIM.
The procedure given in this article can be extended to solve the various problems, like Riccati differential equation, Abel's differential equation, integral equations, partial differential equation and fractional differential equations.
In Section 2, the outline of AIM is provided. In Section 3, two-step modified iterative method is discussed. In Section 4, an analysis of the two-step modified iterative method has been discussed. MMIM is explained in Section 5. An absolute error formula is discussed in Section 6. Finally, some examples are solved to establish the competency of MMIM, in Section 7.
Consider a general functional equation:
The nonlinear terms can be decomposed as
Consider, the general functional Eq. (1). In TSMIM, source term
When we analyse Eqs (5) and (9), it is observed that zeroth component
It should be noted that the success of this method depends on proper choice of the part
For the sake of convenience, let us consider Eq. (1)
In the study of TSMIM, the source term has been split into two parts
Using the recursive scheme Eq. (9) and choosing
If zeroth component does not satisfy the given problem, then the method discussed in article  can be used.
In most of the problems, the computational interval
Therefore, to solve the problem of type Eq. (1), initial guess of the solution should be known in the interval and the solution can be considered as
The length of the subinterval should be small to get the higher accuracy. It is not necessary that the length of each subinterval to be equal, it can also be changed to achieve better results.
The length of the subinterval should be small to get the higher accuracy.
It is not necessary that the length of each subinterval to be equal, it can also be changed to achieve better results.
Since MMIM is a modification of AIM, and in each subinterval AIM will be used separately, therefore the absolute error formula for the solution
In this section, some examples have been included for the verification of the MMIM. AIM and MMIM are applied separately to find the solution in a given interval. Further, solutions of the both methods are compared graphically and the comparative study is summarised in Tables 1 and 2, respectively.
Comparative study of AIM and MMIM
Comparative study of AIM and MMIM
Therefore, we can apply TSMIM.
Let the solution of Eq. (14) exists in a converging series form,
Hence, the required solution would be
It should be noted that, if we take the 0th component as the solution of the given problem, the next component becomes zero. But if we do not take 0th component as the solution of the given problem, we shall apply AIM.
Figure 1 shows a comparison between exact solution ‘_ _’ and computed solution ‘__’.
It can be illustrated from Figure 1 that the computed solution coincide with the exact solution in the interval [0, 1]. The behaviour of the exact solution changes rapidly for
First, we find solution in the interval [0, 1) by taking sum of the five components,
The graph of the solution
Therefore, solution in the interval [1, 1.1) is given by,
The graph of the solution
Take end point of the interval [1, 1.1) as the initial point for the interval [1.1, 1.2), such that
Since, solution for the interval [1.1, 1.2) will be given by,
The graph of the solution
Take end point of the interval [1.1, 1.2), as the initial point for the interval [1.2, 1.3), such that
Then, the solution in the interval [1.2, 1.3) will be given by,
Therefore, the graph of the solution
Proceeding in similar way up to interval [1.9, 2], with length of the subinterval 0.1 and after combining or merging all subintervals, we get solution for the interval [0, 2] in Figure 6, which is quite similar to the graph of exact solution, therefore for more clarity we observe Table 1. It is clear from Table 1 that the solution using MMIM is more promising than AIM.
Here, we see that the solution of the problem Eq. (17) is not inbuilt under the given problem. Therefore, we use AIM.
The graph of the computed solution using AIM,
First, we find solution for the interval [0, 0.3) by taking sum of the five components
The end point of the interval [0, 0.3) will work as the initial point for second interval [0.3, 0.4) such that
Solution for the interval [0.3, 0.4) is given by,
The graph of the solution
In the similar manner, the solution of the given problem Eq. (16) can be calculated up to interval [1.9, 2] with length of the subinterval 0.1. Combining and merging all the solution graphs, the graph of the solution for the interval [0, 2] is shown in Figure 10. In Figure 10, which is quite similar to the graph of exact solution, therefore for more clarity we observe Table 2. It is clear from Table 1 that the solution using MMIM is more promising than AIM.
In our work, a multistage iterative method as a modification in AIM is introduced, which is known as MMIM. MMIM is the extension of AIM, although the solution given by AIM is limited for a very small interval. Therefore MMIM is useful to solve the functional equations for a comparatively large interval by integrating AIM. The numerical examples and associated graphs and tables have been defined and constructed in this article. Figures 2–5 are the graphs of the solution of Eq. (14) for the subintervals [0, 1) to [1.2, 1.3). These graphs show the behaviour of the numerical solution calculated using AIM separately in their respective subintervals and the procedure is continued up to the subinterval [1.9, 2]. Then all the solution graphs are merged and the final graph is drawn as in Figure 6 with the concept of MMIM. We can observe with the help of Figure 1 that for the interval [0, 2], MMIM converges to the exact solution more accurately than the AIM, and further the efficiency of the method is shown in Table 1.
In Table 1, a comparison between absolute error between AIM and MMIM in the computational interval [0, 2] at different points are shown when used them separately. Therefore with the help of solution graphs and table of Eq. (14), we can state that MMIM is more accurate than AIM.
Similar results are followed in all the figures and table in Example 2. Therefore, MMIM is simple and easy to apply, requires less computational complexity and also provides more reliable results.
Comparative study of AIM and MMIM
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on optimization design of physics teaching objectives based on information fusion technology Research on the innovation of ideological and political education theory and practice in colleges and universities under the background of big data Electromyographic characterization of limb flexion, extension and their special exercise movements in high level distance runners Study and analysis of wastewater treatment in the refining and chemical industry based on multidimensional data analysis Exploration and practice of combining theoretical teaching and practical teaching to implement course Civics in the context of big data--Take “Microbial Pharmaceutical Technology” as an example Airpak-based art and design talent training innovation model framework Online cloud management and quality monitoring of the whole process of undergraduate thesis Visualization design of talent training paths in university education based on pattern knowledge Exploration of the development path of university thinking and political education in the background of Internet Research on the design of interactive intelligent toy art experience based on multimodal sensory Exploring the Innovation Practice of Teaching Civics Education in Universities in the Network Era The development and application of virtual practical teaching based on a clustering algorithm in the development and application of a resource library of college Civics courses Analysis of vehicle paths for sharing e-commerce logistics resources in China Current situation and reform trends of physical education teaching evaluation in the context of deep learning Research on Ideological and Political Practice Teaching based on VR technology in the Information Age Design of teaching quality evaluation system for higher vocational education based on data mining technology Heterologous expression of Bacillus subtilis SL-44 glycosyltransferase catalyzed synthesis of ginsenoside Rh2 Innovative talent cultivation strategies for teaching traditional culture and language and literature based on information fusion technology ECOC-based integrated learning method for fault diagnosis in nuclear power plants The integration of traditional lacquerware and modern art design in the context of artificial intelligence Research on the optimization and practice of mathematical modeling curriculum systems based on the perspective of big data Research on the influence factors of innovation and entrepreneurship education based on neural network model Exploring the model of laboratory construction and optimization to promote the transformation of research results in the context of big data Deep learning algorithms in enterprise accounting management analysis Research on the integration of non-traditional culture and contemporary visual design based on virtual reality technology Research on the information dissemination method of Chinese culture education based on information dissemination datasetResearch on the information dissemination method of Chinese culture education based on information dissemination dataset Research on AGV cart control system based on fuzzy PID control Optimisation of an integrated water resources management system for the Yellow River based on numerical simulation A study on the landscape evaluation of sculpture vignettes in residential areas based on SBE Research on the cultural innovation system of the old industrial base of Northeast China under the environment of big data Application of Information Fusion Technology in Innovative Teaching of Music Theory Courses in Universities Analysis of the application of computer-aided design in industrial product design based on Deep learning algorithm-based wearable device in basketball motion dynamic analysis Research on the current situation and countermeasures of student employment management in higher education institutions based on multiple regression analysis Research on the integration of curriculum thinking and politics into the construction of grassroots party building and nurturing work under the perspective of Internet+ Study of online learning time and learning performance model based on learning platform Research on the reform and practice of thinking and teaching of computer network technology course based on ant colony algorithm Prediction analysis of slope stability due to soft and weak interlayers based on partial least squares method Effect of post-welding coating process on the organization and properties of MIG-welded T-joints of 6063-T6 aluminum alloy The construction of a new theoretical system of university education development based on the principle of multi-optimization of fuzzy ICDS Designing the presentation of Dunhuang fresco art based on perceptron technology in the context of artificial intelligence Research on the development model of fusion of poetry communication and literary creation based on information fusion technology under the perspective of national fusion Research on the blended teaching path of water conservancy engineering in universities based on big data analysis Model innovation construction of social work participation in grassroots community governance based on fuzzy comprehensive evaluation model Strategies for the transmission of ethnic music culture in college music education based on the background of big data The Impact of Chinese Stories on the Foreign Communication of Shaanxi Local Culture Based on Deep Learning Models Innovative Strategies for the Development of International Chinese Language Education Based on Deep Learning Models Reflections on the Construction of Career Development and Planning System for Counselors in Private Universities in the New Era The application of big data technology in the art of visual communication design with information technology Analysis of the packaging characteristics of creative products in the context of new media based on Bayesian networks Study on the aesthetic laws of VR digital media art on the reception of film art The application of friend recommendation algorithm in the design of traditional handicraft art communication platform The promotion path of high-quality development of rural tourism based on intelligent cloud platform system A study on teaching English in higher education based on an improved deep belief network VAR model-based values education for adolescents and the role of WeChat in it Research on the analysis of traditional music tunes in the context of network information technology A mining method of integrating Civic Science elements into English teaching in higher vocational courses based on information fusion technology Analysis of the Path to Improve the Effectiveness of Ideological and Political Education in Universities Based on Information Fusion Technology Implementation and Assurance Model Construction of Financial BPO Cost Control under Cloud Computing Platform Symbolic semantic design of industrial products based on Big data technology Optimization of smart tourism destination management based on linear regression model Exploring the development of intercultural communication skills of language students in universities based on big data Optimization study of intelligent decision-making system for coal processing plant based on big data analysis Development of a hydraulic pump motor test stand based on mechanical power recovery Analysis of Intelligent Control Strategy for Heavy Media Coal Separation Process Based on Deep Learning Model A study on the impact of COVID-19 class suspension on college students’ emotions based on affective computing model Optimization of Civic Education Paths in Universities Based on the Subordination Matrix Model A study of the relationship between the prosperity of literary novels and the prevalence of the imperial examination system in the Ming Dynasty based on the LDA model Cluster control technology of transmission line intelligent inspection drones based on 5G communication Visualization communication mode and path optimization of data news in the context of big data Cooperative control method of transmission line inspection UAV cluster based on hybrid networking technology Research on the development of watercolor painting education in universities based on smart contract model Energy-saving and noise-reducing integrated task allocation model for machining systems and its application Research on the construction and sustainable development of online teaching model for universities based on deep learning Optimization of the innovation path of practical teaching of college Civics based on VR technology under information fusion technology Speech recognition-based packaging design techniques and graphic design Research on the cultivation mode of big data accounting talents in higher education institutions based on hierarchical analysis method Barriers to Renewable Energy Share of the Grid in the Context of Big Data and Countermeasures The role of LightGBM model in management efficiency enhancement of listed agricultural companies Innovation of product packaging design based on visual communication from a digital perspective Statistical language model-based analysis of the English-Chinese corpus and political discourse Design of online education model based on migratory bird algorithm under the concept of sustainable development Analysis of the construction and reform path of preschool education professional practice courses in the context of computer big data Research on the reform of English teaching based on big data technology A study of algorithms for solving nonlinear two-level programming problems oriented to decision tree models Combining big data with innovative education on online ideology and politics for college students Research on localization and navigation methods for intelligent terminal devices oriented to multi-source fusion technology The application of digital media art in film and television animation based on three-dimensional interactive technology Application of graphic image processing technology in 2D game interface design Changes in China’s smart library system in the information age and how to study it Computer vision-based image data processing of digital media video images with ultra-clear picture quality The construction of visual aesthetic element system in graphic design based on big data Research on the intelligent management mode of university education and teaching for innovative talents cultivation strategy Cultivation mode of mechatronics professionals in higher vocational institutions under “1+X” certificate system Research on the Analysis of Efficiency and Potential Prediction of Cross-border E-Commerce Trade of Agricultural Products in West Anhui Based on Improved DEVA Model Construction of an innovative model of English online teaching based on a multimedia English learning system model Study on the current situation and countermeasures of the history of health culture development in Shaanxi based on the background of big data The introduction and cultivation of intercultural communication in undergraduate German language teaching process based on big data technology Research on the integration path of cultural creative industry and tourism industry based on collaborative filtering recommendation algorithm Research on the development of literature practice teaching for college students in the context of computer technology A Study on the Application of the Internet Teaching Model in College English Reading Teaching Sensitivity Analysis of the Waterproof Performance of Elastic Rubber Gasket in Shield Tunnel The main color structure setting of Chinese oil painting based on content analysis method The impact of modern Internet technology on the teaching of American voice in colleges and universities The application of red music culture resources in the education of ecological civilization concept in colleges and universities under the background of multimedia Application of Big data connection processing technology in the construction of an online aesthetic education platform Optimization of the development path of integration between folk art and contemporary textile industry in Shandong based on BOPPPS model Innovation of enterprise performance appraisal form based on marginal utility function Analysis of the application of BIM technology in the combination of interior design and smart home Dynamic Route Optimization for Chinese E-Commerce Logistics Based on Ant Colony Algorithm Research on the development of digitalization of art education in the era of big data technology Student education management model and formation in universities based on hierarchical analysis Research on the role of psychological education in college Civic Education under the background of Internet Analysis of corporate financial risk avoidance strategies based on logistic regression model Characterization of second-order chaotic circuits with heterogeneous memristors Research on the construction method of neural network model based on memristors Visual learning analysis of physical virtual simulation experiments based on heterogeneous data features Dilemmas and Breakthroughs in the Legal Regulation of Artificial Intelligence Based on Deep Learning Models A study on the psychological relief path of gender stress in women's workplace based on hierarchical analysis The dilemma and the way out of the construction of the law profession in the context of new liberal arts based on an intelligent legal learning system Localized Imagery and Narrative of Chinese Contemporary Oil Painting Based on Big Data The rise of big data on the development of music education and innovation to promote Improving online ideological and political precision education in universities based on knowledge mapping Research on unmanned vehicle obstacle avoidance technology based on LIDAR and depth camera fusion A multi-objective optimization algorithm based on the identification of risk spillover intensity measurement in Chinese financial markets A Study on Second Language Academic Writing Anxiety of Chinese Students Studying in Japan A Study on the Multidimensional Expression Form of Ancient Chinese Teaching in Universities Based on Multidimensional Analysis Model Analysis of Spatial Pattern and Geographical Divergence Characteristics of Traditional Villages Oriented to Digital Landscape Technology Innovation of teaching methods of international Chinese language education in universities based on artificial intelligence analysis technology The application of BOPPPS teaching model in online and offline hybrid Civics teaching in universities Exploring the Multiple Meanings of Ice and Snow Sports Culture Construction in Chinese Universities Based on Fuzzy Algorithm Research on service quality evaluation and improvement strategy of Chinese civil aviation based on DEA model The Importance of Emotional Expression in Vocal Performance Art in the Internet Era A Study on Innovative Strategies for Teaching English to College Students Based on Knowledge Mapping Research on urban landscape big data information processing system based on ordinary differential equations Research on green-driven product value creation process Assessment and Analysis of Ecotourism Resources in China Based on RIAM System Keyword Extraction-based Library Intelligence Services: Challenges, Adaptations and Reinvention Application of linear ordinary differential equations to the stability control of long time lag networks Research on the innovation of ideological and political education for college students based on the Civic and Political Science Cloud Education Platform Research on digital reform of music education resources in universities in the context of data governance Analysis of the evolutionary path of early civilization agriculture based on the plain Bayesian model Exploring the blended learning model of music teaching skills for teacher trainees based on teacher training professional certification in the context of big data A statistical method for massive data based on partial least squares algorithm Construction of an intelligent agricultural irrigation control platform based on PLC technology Analysis of digital cloud accounting incorporating data mining technology in corporate investment decision making Colorized visual aesthetics of interior design based on the VAR model Application of machine learning based models in computer network data Research on the Construction of Innovation and Entrepreneurship Education Model System in Universities Based on Big Data Technology Optimizing Strategy of Computer Teaching Mode in Universities Based on Continuous Discrete Method Variation in metadiscourse verb patterns in English academic papers from intra- and interdisciplinary analysis Analysis of the opportunities and challenges of information technology for enterprise development strategy based on big data technology Building an efficient classroom for Civics in vocational colleges in the era of new media Research on energy consumption analysis of air conditioning and refrigeration equipment based on perceptron model Application of modern architectural color layout in interior design In-depth analysis of the artistic expression of paper-cutting elements in interior space design Research on the extraction method of traditional elements in environmental art space design based on intelligent algorithm Esearch on the optimization path of campus football teaching based on deep learning mode Analysis of the prospect of the development of university innovation and entrepreneurship courses based on the chain-type intelligent education model Study on the optimization of the quality management path of university physical education teaching in the context of multimedia network technology Exploring the path of integration of rural tourism culture and food industry in the context of big data Analysis of the Construction and Course Effectiveness of the Online Course Platform for College Piano in the Background of the Internet Machining hardening and dislocation modeling of magnesium alloys based on Fields-Backofen equation The construction of hotel information management mode under the trend of low carbon tourism Digital Intelligence Civilization Drives New Business Civilization: A Theoretical Framework for the Collaborative Ecosystem of Digital Culture and Tourism Industry Research and Application of Cross-media Knowledge Discovery Service Based on Deep Learning Model A Study on the Evaluation System of Aesthetic Education in Guangdong Higher Education Institutions in the Context of Internet+ Education The mechanism of innovation-driven emerging technology generation based on big data fusion in the perspective of technological self-reliance and self-improvement Analysis of the practice in college English listening teaching based on multimedia technology Research on New Liberal Arts Professional Talent Cultivation Model Based on OBE Concept Construction material manufacturing in the context of artificial intelligence and its use in the construction of assembled buildings New Digital Infrastructure, Financial Resource Allocation and High Quality Economic Development in the Internet Era Analysis of the integration development of enterprise refinement management and financial integration in the context of informationization Graphic Design Optimization Method Based on Deep Reinforcement Learning Model Innovation of tax incentives in the context of integration of traditional industries and digital economy Research on the Evaluation of the Effect of Tourism Revitalization of Intangible Cultural Heritage in China in the Context of New Media Analysis of the Design and Effectiveness Evaluation of Personalized English Teaching System for Mongolian College Students in Trilingual Context Research on composite dynamic disaster prevention and control system of mine earthquake and shock in thick and hard rock mines Research on urban energy Internet planning based on fuzzy comprehensive method Research on innovative strategies of college students’ English teaching under the background of artificial intelligence Electromagnetic interference prediction technology of new energy motor drive system Analysis of interaction experience of sculpture product design based on perceptual machine model Research on the intelligent path of college students’ network ideological and political education based on big data mining technology Exploring the characteristics of folk music tunes based on data mining model Research on the application of PLC technology in electrical automation engineering Model Innovation Research of Cultivating Applied Art and Design Talents Based on Environmental Psychology Application of matrix multiplication in signal sensor image perception Analysis of the application of abstract symbols in advertising design based on cluster analysis method Cyclic Convolutional Neural Network Model Based on Artificial Intelligence A multivariate nonlinear dynamic programming of female figures in Qing dynasty literature Impact of COVID-19 policy on stock prices of listed property companies Analysis of the Influence Path of Confucianism in the Civic Education of Contemporary College Students in the Context of Big Data Teaching Strategies of English Speaking Informatization in Colleges and Universities in the Context of Computer-Assisted Language Learning Application of the ADDIE Model in the Teaching Practice of Basketball Skills Energy Efficiency Evaluation of HVDC Converter Station Based on Deep Neural Network Model Numerical Simulation and Characteristic Analysis of Music Based on Nonlinear Equations Títul Automatic Extraction and Discrimination of Vocal Theme Based on Quadratic Wave Equation Marginal Scale State Analysis of Cloud Computing Economy Based on a Class of First Order Differential Equations Computer-Aided Design of Hand-Drawn art Food Packaging Design Based on Deep Neural Network Model Innovative Development Model of Ideological and Political Education Under “Self-media” Based on Big Data Thoughts and Design of Ideological and Political Construction Based on the ADDIE Model Innovation of fresh agricultural products e-commerce operation mode based on artificial intelligence and machine learning model Research on the Application of Civic Education into the Brain and Heart Based on Physiological Data Recognition Algorithm VR-based computer maintenance practical training platform development design and application research Design and implementation of an integrated management system for discipline construction and postgraduate education in universities Research on innovative human capital for China’s economic development based on STI model In-depth analysis of the artistic expression of paper-cut elements in the design of boat space Dual Construction of “Composition” and “Analysis” in Composition and Technical Theory in the Context of Big Data Construction and intelligent analysis of power grid physical data knowledge graph based on Internet of Things for power system Deep learning model-based reading of Chinese language and literature classics and situational experience Research on the quality of information disclosure of listed companies in the era of big data Research on the effects of financial literacy on rural household credit constraint The significance of senior education in the Internet era for the construction of lifelong education system Research on educational resource recommendation system based on MRLG Rec Study on Regional Financial Innovation, Technological Progress Bias and High Quality Economic Development Visual analysis of the trend of mental health changes among Chinese college students in the context of the normalisation of the new crown epidemic Research on the Market Positioning and Suitable Cargo Value Range of “Yiwu-Xinjiang-Europe” Train Based on Data Model A study on the phenomenon of anaphoric correction in college students’ English conversation Research on the application of improved V-detector algorithm in network intrusion detection Integration of government accounting system reform and university infrastructure consolidation based on type two fuzzy sets Kinetics of phenol hydroxylation reaction of open mesoporous TS-1 with high backbone titanium content Design of fitness walker for the elderly based on ergonomic SAPAD model The challenges of ideological and political education in higher education institutions in the era of big data and its path analysis Research on the innovation of collaborative education model of scientific research and teaching in colleges and universities based on the theory of process reengineering Analysis of the regulatory environment on Green innovations Efficiency and its Impact Effect The innovative path of diversified vocal music education reform in colleges and universities under the advanced educational concepts of China and the West Research on face emotion recognition algorithm based on deep learning neural network Rhino application in ceramic packaging design teaching Study on the Rationalization of Human Resources Allocation in Hospitals in the Post-Epidemic Era Analysis and countermeasures of cultivating independent learning ability in colleges teaching English based on OBE theory Influencing Factors of Ideological and Political Construction Work based on VSBPC Model Denoising complex background radar signals based on wavelet decomposition thresholding Projection of Early Warning Identification of Hazardous Sources of Gas Explosion Accidents in Coal Mines Based on NTM Deep Learning Network Coupling Coordination of Long Triangle Digitization and High Quality Development of Manufacturing Industry based on Differential Equation The use of color elements in graphic design based on convolutional neural network model Research, analysis and optimization of the drive characteristics of the drive wheel of the machine tiller based on SPH method The application of graph theory teaching method in ideological and political education of discrete mathematics Design of automatic tobacco trash detection system based on quadratic fuzzy theory Construction of a personalized learning platform based on genetic algorithm for specialized education in industrial colleges in the context of industry-education integration Analysis of the application of music curriculum education integrating modern network technology Evaluation of capability maturity of digital transformation of manufacturing industry in Yangtze River Delta based on SDAF model Online and Offline Audio-visual-oral English Teaching Model Construction Based on ARCS Research on new ways of ideological and political education in new era universities Application of ecological architecture in architectural design based on information technology integration Strategies for the implementation of aesthetic education in music teaching in colleges and universities under the threshold of big data Exploring the implementation path of teaching Civics in online courses in colleges and universities under the background of big data Evaluation of corrosion resistance of marine engineering materials under function integral algorithm The challenges of ideological and political education in universities in the era of big data and its optimization path RETRACTION NOTE A study on the principles of Chinese painting line drawing figure sketching techniques based on cognitive mapping constructs Intelligent financial eco-management model based on perceptron model Research on the focus of national traditional sports culture inheritance based on weighted function algorithm Study on the optimization strategy of agricultural industry economic management innovation in the context of rural revitalization in the multi-Internet era First principles study of the electronic structure of antimony (Sb) and samarium (Sm) doped tin dioxide (SnO2) based on big data analysis The influence of social network on innovation and entrepreneurship of economic and management college students based on adaptive particle swarm algorithm Research on virtual color restoration algorithm for printmaking art images based on semantic segmentation and convolutional neural network Research on practical teaching of Ideology and politics in higher education institutions based on VR technology in the information age Analysis of tennis techniques and tactics based on multiple linear regression model Exploring the creation of films based on digital media technology A chance constrained dynamic network reconfiguration based on Minty algorithm in distribution networks Automatic Detection of Transformer Health Based on Bayesian Network Model Research on the integration path and expected effect of university civic education and music teaching based on information fusion technology Research on IoT data aggregation by fusing fast matching algorithms The construction of a shared resource base of enterprise financial informationization for intelligent terminal platform Optimized Approach for Image Design Processing in Optical Networks: A Comparative Study The value dimension and realization of online ideological and political education in colleges and universities based on deep learning Innovative Reform Strategies of Artistic Practice of College Ethnic Music Education Based on Information Fusion Technology Application and value of painting technique in art education based on improved ARMA model 3D Virtual Art Design Method Based on ARCS Model Construction of intelligent terminal equipment for Electric Internet of Things based on edge computing model Analysis of bridge foundation pile detection based on convolutional neural network model Application of deep learning model in computer data mining intrusion detection Defect prediction of big data computer network based on deep learning model Analysis of News Communication Law Based on PSR Model Analysis of the Evolution Trend of Segmentation of Online Public Opinion Based on Dynamic Tracking Technology Formative Assessment of College English Teaching Based on the CLA Model The evolution of Chinese traditional ethnic clothing design style based on interactive dichroism algorithm Research on the prediction method of string-supported dome cable force based on digital twin technology Exploring the innovation of visual communication design style based on artificial intelligence technology Study on the Synergistic Development of Chinese Traditional Villages Protection and Landscape Development Facilitated by Rural Revitalization Research on the evaluation system and teaching optimization effect of animation aesthetics education based on principal component analysis method Design and application of an online teaching platform for public sports tennis in colleges and universities based on discrete choice regression model Innovative Research on Deep Learning Algorithm in Intelligent Attractions Recommendation Technology Construction of a screening and evaluation system for anti-hepatitis B virus drugs based on quadratic exponential smoothing model An empirical analysis of the impact of Cross-border E-commerce on the competitiveness of SMEs based on the context of big data Research on computer network information image data processing based on machine learning Construction of preschool education resource sharing platform based on matrix model Application of animation design in the digital media art industry based on artificial intelligence technology An applied mathematical model based on discrete regression algorithm for computational prediction of blood collection volume Fractional Differential Equation in the Cost Control System of Cross-Border E-Commerce Optimization of innovative information-based teaching paths in college sports psychology based on principal component analysis Data Information Security Algorithm Based on Chaos and Hash Function Research on the innovative inheritance application of Guangxi minority elements in clothing design under the perspective of rural revitalization A study of English learning anxiety regulation strategies based on the deep learning model Application of power electronic circuit design based on BP artificial neural network in environmental monitoring Research on Curriculum Civic Education and Innovation and Entrepreneurship Education Reform in Undergraduate Universities under the Web-based Teaching Collaboration Platform Optimized reform strategy for quality education of Chinese language and literature education for college students based on information fusion technology Research on the innovation path of university library management and service under the background of big data Construction and practice of a standardized training system for outpatient clinics based on the cultivation of TCM thinking Genetic algorithm-based analysis of heat production prediction in electronic devices Analysis of the Implementation Approach of University Budget Performance Project Based on Equity Realization Perspective A study of multimodal education and discursive reading model in English based on multidimensional cognitive information aggregation theory Teaching Effect Evaluation of Music Education Based on Partial Differential Equation Model Analysis of the effect of music on personal emotional experience and identification of psychophysiological signals The application of body symbols in contemporary art from the perspective of Da Vinci’s theory A Hybrid Stochastic/Robust Planning Model for Integrated Energy System Considering Multiple Uncertainties Railroad freight service quality evaluation system based on a logistic regression model The Design and Development of Network Multimedia Music Teaching Based on Multiple Linear Regression Algorithm Research on the relationship between investment in preschool education and economic growth in Chongqing Deep Learning-based Fuzzy Translation Problem in Chinese-English Epidemic News Reporting Innovation and application of digital reading model for college students based on deep learning model Study of trip card data analysis system under big data Construction of a text complexity grading model for English textbooks in the context of globalization Design and research of big data technology based on e-commerce platform A study of cultural differences in Sino-Thai translation based on big data analysis On the Application of Artificial Intelligence in Local Legislation Big data analysis based on the correlation between live-streaming with goods, perceived value and consumer repurchase Big data methods and news communication innovation from theoretical definition to operational route Design and Practice of Human Geography Field Teaching in the Age of Big Data The innovation path of virtual practice teaching in college Civics class based on the Ridge regression model Application of CAE for mold flow analysis in plastic molding mold design Intelligent control system of port turning line based on WITNESS software Symmetry Analysis and Exact Solutions of Extended Kadomtsev-Petviashvili Equation in Fluids The reform of university English education inspired by cultural differences between China and foreign countries Research on structural damage identification and localization based on artificial neural network New approach to regularise the perturbed two-body problem Analysis of the factors influencing the development of college students’ Civic Science course based on ISO model The development trend of music art based on content analysis method The construction of cross-regional cooperation innovation network governance system based on data fusion technology Analysis of the innovative development path of university civic education based on the era of big data On new aspects of Chebyshev polynomials for space-time fractional diffusion process Rural landscape design strategy based on deep learning model Innovative Development Path of E-Commerce and Civil and Commercial Law in the Information Age Based on Discrete Regression Algorithm Stability of equilibrium price-production of dynamic duopoly Bertrand–Cournot game in a transnational supply chain with asymmetric information Mathematical model on Type 1 diabetes and Healthy state: Mechanisms of βcells on the interaction between M1 and M2 Macrophages Scientific Training Model of Sports Tourism Based on Nonlinear Differential Equation The dilemma and path of rural college students returning to their hometowns for employment and entrepreneurship in the post-epidemic period under the background of big data Financial big data control and intelligent analysis method for investment decision of renewable energy projects Analysis of the dilemma of higher vocational thinking education in China under the background of “Internet+” Analysis of the current situation and development countermeasures of college sports training and management based on the background of artificial intelligence A Review of the Design and Enhancement of Pastoral Culture Creativity in Chinese Rural Ecotourism Research on Computer Network Security Protection Technology Incorporating Full Convolutional Networks Research on the Logical Turn and Practical Path of China’s High-Quality Economic Development in the Context of Digitalization Influencing factors of modern and contemporary decorative pattern design on users’ visual perception characteristics Construction machinery hydraulic transmission system fault analysis and elimination methods Optimization strategy of ideological and political education in colleges and universities based on modern information technology A Review of the Research on Labor Supply Effect of Active Aging Application of traditional cultural elements in landscape design Driving Model of Electronic Information System Based on Agent Modeling and Simulation Research on the path of high-quality development of the rural tourism industry driven by big data technology The application of cloud accounting in enterprise financial decision making in the era of big data Variable combinatorial gap-filling method for single-cell RNA-seq data Research on the development path of integration of rural sports culture and sports tourism in the context of big data Risk Assessment of Financial Markets in the Era of Big Data Based on Eviews Econometric Model Cost Control System of Cross-Border E-Commerce Based on Fractional Differential Equation Fourier transform-based electronic logic information processing architecture design The Development of Enterprise Management Innovation in the Digital Economy Era Based on the Schumpeter Model Neural Networks and Migration Learning Models in Sports Video Course Applications Research on performance evaluation and optimization of college budget management under the background of big data Risks and preventive measures for manufacturing enterprises in the Context of cloud accounting Research and application of Augmented Reality Technology and digital media Technology in mobile visual media Research on Information Visualization of Chinese Cultural Heritage Patterns in the Digital Perspective The modernization strategy of constructing teacher-student relationship in the new era of universities Research on optimal path planning technology for vehicle positioning and navigation system Construction and practice of training system for dance professionals based on OBE teaching model combined with Kinect motion capture technology The construction of environmental cost accounting system - based on ecological perspective Interactive experience of information visualization in mechanical design Analysis of tea culture communication path based on the principal component analysis method Programming application of contemporary jewelry design forms based on Grasshopper software Construction of a multimodal poetry translation corpus based on AdaBoost model Analysis of the practical education model and its value in the context of big data in university civic education Information Fusion Technology-based Approach to Mining Civic Political Elements in College Curriculum Design of a decentralized Internet-based control system for industrial robot robotic arms General Architecture of Sustainable Urban Spatial Development Model Based on Smart Cities Design of a mechanical automatic transmission system for automobiles based on torsional vibration damping Optimization of the quality management path of physical education teaching in colleges and universities integrating modern network technology Construction of a mathematical modeling teaching quality assessment system for universities based on Eviews model Research on Information Literacy Education Model in the Big Data Environment - A Case Study of six Hainan high school Libraries Innovative model of teaching in law experiment center based on LETS software Fuzzy PID control theory in multi-objective optimal longitudinal following of intelligent trolley A Study on the Implications of Critical Discourse Analysis Theory for College English Teaching in the Context of Big Data The Construction of “Party Building + Curriculum Civics” Education Model for Chinese Grassroots Party Organizations in the Context of “Internet+” The artistic aesthetic and cultural value orientation of 3D printing A multidimensional interpretation of Marxist theory based on a decentralized Internet perspective Research on key technologies for connected vehicle autonomous driving based on 5G big data Student management model of college student associations based on ant colony Algorithm Research on practical teaching of Ideological and political education based on VR technology in the information age The Construction of Cultural Translation Research System under Big Data Technology Analysis of factors influencing the development of Civic Education for senior students of Chinese party culture based on ISO model Research on the application of big data technology in enterprise project management An investigation into the practice of blended teaching in English courses based on the BOPPPS model Analysis of student management path optimization in higher education institutions with ISM Strategies for optimising chemical instrumental analysis methods based on the ADDIE model The improvement path of international Chinese education management in universities based on big data technology Analysis of the coupling correlation between environmental protection efforts and economic development level based on artificial intelligence technology Seismic finite element analysis of underground integrated pipe corridor based on generalized reaction displacement method Research on the construction and operation mode of smart city information service system based on IOT technology Innovative reform strategy of artistic practice of university folk dance education based on information fusion technology Biosafety management strategy based on multiple linear regression model Thinking about the strategy and practice path of modern agricultural industry development in the context of big data New ideas of precision teaching development based on the background of big data Design and research of news recommendation system based on perceptron model in big data era Combined application of employment education and big data internet technology based on the context of vocational education reform Research on structural damage identification and localization based on artificial neural network College students' innovation and entrepreneurship model based on probability theory statistics Research on the design and application of intelligent teaching management system of intelligent training room in the background of internet Innovation and entrepreneurship model of higher vocational college students based on probability theory statistics Analysis of distribution network planning with distributed power supply based on ELM algorithm A fuzzy mathematical model-based approach to customer-side energy management for power companies Research on the evaluation of the employment effect of Jiangsu artificial intelligence based on neural network on colleges and universities Rural Tourism Development Planning Based on Nonlinear Differential Equation Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations Strategies for Marine remote sensing target detection based on deep learning model and internal wave simulation imaging technology Construction of a smart grid load forecasting platform based on clustering algorithm Variation mechanisms of metadiscourse verb patterns in English journal articles from intra- and interdisciplinary perspectives Construction of a refined people management model for SMEs based on discrete regression algorithm Color and composition under big data technology: the art of visual communication in film art FPGA-based Intelligent Logistics Management for Universities Study on the design of old residential district landscape space renewal based on Cite Space from the perspective of big data Digital design and experimental testing of a compressor's suction muffler transmission loss A Study on the Impact of the Internet+ Era on Korean Film Consumer Culture SCP model based on the new energy vehicle collaborative detection configuration method research Research on the innovation path of teaching interior design majors in universities based on big data analysis The cardiovascular promotion of college taekwondo based on fractional differential equation A Systematic Study of Intercultural Listening Strategies in Higher Education Institutions in the Context of Big Data Analysis and research on the economic benefits of employee labor in enterprises in the context of the Internet Design and application of an intelligent communication platform for aesthetics education for internationalization The boundedness of functional differential equations of hospital financial software under information Multi-UAV Aerial Mission Intelligent Assignment Algorithm Based on LightGBM Model Deep learning model-based brand design 3D image construction The Evolution of Marxist Theory of Financial Capital in the ACC Payment Model The character image setting of 3D animation works based on Poisson equation The Impact of College English Teaching on Improving Students’ Writing Effectiveness in the Context of Big Data Research on the interaction between university physical culture education and college students’ physical exercise in the context of big data Innovative research on the construction of experimental teaching platform of economics and management in colleges and universities based on the background of big data The optimization path of core literacy of innovative talents in universities based on the improved Markov model Analysis of the innovation path of university education management informatization in the era of big data Research on visual recognition and positioning of industrial robots based on big data technology Coupled coordination analysis of green finance on economic growth based on big data Information technology system to promote drug production command supervision Exploring English-Chinese Translation Skills Based on Big Data Technology Decentralized Internet-based calligraphy education leads the internal development of aesthetic education in schools Research on the construction and effect evaluation of OMO mode of professional practical training teaching of landscape engineering technology based on virtual simulation technology Theoretical and practical research on mathematical modeling of economy and finance based on artificial intelligence Calculation and evaluation of similarity in sports information resources based on combined algorithm Research on personalized Japanese language teaching model based on big data technology A multidimensional interpretation of Marxist globalization theory based on decentralized internet Study on the absorption technology of distribution network with high-proportion distributed power supply Application of BOPPPS teaching model in online and offline blended teaching of college Public Basic Mathematics Information Development and Student Talent Cultivation of Modern Chinese Language and Literature in the Context of Big Data The application of communication art in tea packaging design under the modern aesthetic perspective Grouting reinforcement strategy for tunnel sand layer based on BP neural network Multimodal discourse analysis of automotive websites Research on university laboratory network security based on Cloud Computing Optimization of journalism communication digital education ecology based on SEM model Títul Mobile visual media design based on digital media technology and augmented reality Spatial planning layout design of national land in the context of rural revitalization based on MOLA model Influence of 3D characters image transfer on animation drawing based on detail feature preservation Títul Sports consumption behavior and consumption demand of urban residents in the context of “Internet+” A study of investment decision behavior based on risk analysis Theoretical Innovation of English Teaching Methodology Based on Continuous Discretization Method The use of graphic design elements in commercial architectural design in the context of intelligence Study on the influencing factors of the development of art education in colleges and universities based on the deep learning model Research on the modernization of the spirit of marathon sports culture based on information dissemination mechanism Evaluation mechanism of local universities’ faculty construction based on SOAP technology Analysis of factors influencing social responsibility in private education industry based on multimodal discourse analysis model of big data An analysis of the cultural heritage of traditional Chinese festivals based on the perspective of big data A Markov Chain Prediction Model Based on Rural Tourism Supply and Demand Matching Governance Model from the Perspective of Cultural Tourism Integration Research on the mechanism of cultivating the English listening ability of college students based on the background of big data Study and experimental analysis of the effect of static stretching combined with resistance training on neck and shoulder syndrome in college students in the context of big data Reform and innovation of saxophone teaching mode in colleges and universities based on Bayesian model An empirical analysis of the evolution of piano performance skills based on big data Media-based information display in university libraries based on a generalized differential equation numerical method Exploring the path of high-quality development of teacher education and teaching based on collaborative filtering algorithm Research on sustainable development mechanism of regional ‘Artisan Workshop’ under big data environment Innovative Teaching Strategies for Aesthetic Arts in Higher Education Institutions Based on Big Data Technology Application of hybrid kernel function in economic benefit analysis and evaluation of enterprises The analysis method of the impact of missing audit information on the securities investment decisions based on Logistic regression models Research on the close-range photogrammetry accuracy of 3D digital interactive platform of Hunan intangible cultural heritage Research and implementation of visual question and answer system based on deep learning Títul Research on Wireless Network Coverage for Transformation and Upgrading of Exhibition Management with Artificial Intelligence Technology Study on the application of multi-angle imaging related technology in the construction process The combination application of Civic Education and Big Data Internet Technology based on the background of college education reform Economic statistical strategies for the transportation industry based on time-varying parametric state space models The digital economy is an important path to boosting common prosperity Public Management Model Based on Mathematical Equation of Statistics of Probability Theory Optimization path of corporate ESG performance and compensation performance management under carbon neutral target New anergy tide control strategy based on Eviews econometric model Optimization of vocal singing training method based on intelligent big data technology The construction of blockchain platform for engineering museums based on vectorized image processing technology Green supply chain innovation management strategy based on the combination of low carbon economy and e-commerce with big data technology Numerical simulation analysis of load-bearing capacity at joints of symmetrical cantilever-assembled bridges based on the logistic regression model Research on the current situation and countermeasures of cultivating talents in recreational sports under the perspective of artificial intelligence The Construction of a Coordinated Integration System of Rural Tourism and Habitat Environment in China Based on Coupled Coordination Degree Model Multi-objective Evolutionary Algorithm Supported Construction of Architectural Window Design Model Based on Visual Comfort - A Case Study of Office Buildings in Cold Regions Optimization analysis of cross-border e-commerce marketing strategy based on the SCOR model Construction and implementation of teacher support services model under “5G+Smart Education” Probabilistic neural network-based diagnosis of blockage faults in air conditioning and refrigeration units The Meaning, Value, and Realisation of Internet-based Culturally Responsive Teaching Analysis of digital humanistic knowledge production based on natural language processing Design of language assisted learning model and online learning system under the background of artificial intelligence An experimental study of the carbohydrate exchange method combined with aerobic exercise to intervene in the physical health of obese college students Design of a text evaluation and interaction system for university English textbooks based on a perceptual machine model in the context of globalization Comparative analysis of CR of ideological and political education in different regions based on improved fuzzy clustering Research on loyalty prediction of e-commerce customer based on data mining The use of red cultural and creative design in tourism cultural and creative design based on the background of big data Innovative measures of student management by counselors in higher education institutions under a big data environment Digital terrain interactive editing technology for landscape planning and design based on deep learning LightGBM model applied in the teaching course of Civic Education integrating red culture Research on personalized recommendation method of preschool e-learning resources Key technology research on decentralized Internet-based smart agriculture platform Optimization of cross-border e-commerce marketing strategy based on deep learning model An innovative study of art teaching strategies for preschool children based on big data analysis The function of ideological and political education of campus culture in the context of big data and its realization path The use of new media technology in the creation of media animation under the threshold of big data Research on the construction of early warning model of customer churn on e-commerce platform Research and Development of “Gathering Green” Digital Cultural and Creative Collection Creative Platform under the Technical Support of Big Data and Advocacy of Rural Revitalization: A Typical Practice Based on Qingdao Coastal Villages Evaluation and prediction of regional human capital based on optimised BP neural network A Regionalization Study of Market-Based Allocation of Data Factors in China A study of local smoothness-informed convolutional neural network models for image inpainting IoT-based interaction design of smart home products for elderly families A multidimensional interpretation analysis of Marxism globalization theory based on distributed Internet Strategy for financing mode optimization in international trade supply chain based on deep learning model Early warning and detection of geological disasters based on intelligent genetic algorithm Exploring the Application of Modern Fine Arts Artistic Modeling and Color in Modern Art Design Based on Information Fusion Technology Decisions of competing supply chain with altruistic retailer under risk aversion Research on China’s tourism marketing model in the data perspective: based on ecological perspective Research on human resource management performance evaluation based on BP algorithm Problem identification and solution of voice change phenomenon in vocal singing based on the AHP method A study on the effect of music on college students’ depression and anxiety based on big data analysis Inferring the role of fiscal decentralization and carbon taxes through the ARDL approach Some Necessary Conditions for Feedback Functions of de Bruijn Sequences A new model of tax governance in the context of the integration of traditional industries and the digital economy Improvement of the financial management supervision system of universities in the context of big data Analysis of the current situation and teaching strategies of university table tennis teaching in the context of big data Fractional Differential Equations in Sports Training in Universities Current situation and training strategies of preschool students’ skills in the Internet era Construction of sustainable development professional cluster in private universities based on data mining model Law of interest rate changes in financial markets based on the differential equation model of liquidity Basalt fibre continuous reinforcement composite pavement reinforcement design based on finite element model Innovative cultivation path of great craftsmanship based on logistic regression model AdaBoost model-based rural governance co-integration and sharing mechanism Research on Fault Prevention and Maintenance System of Automatic Substation Primary Equipment Based on Decision Tree Algorithm The construction of innovation system of college physical education reform based on Bp neural network The Construction of Cultural Identity in Multimodal Discourse Analysis under the Perspective of Media Convergence Analysis of the impact of college students’ innovation and entrepreneurship on human resource index of science and technology enterprises based on logistic regression model Research on online and offline double-loop teaching of college students’ mental health education based on cluster analysis algorithm Noise Reduction of Cable Partial Discharge Vibration Signal based on EEMD-CIIT method Application of image processing technology based on hierarchical analysis in visual communication system Analysis of the influence path of Marx’s thought in contemporary college students’ Civic Education based on regression analysis A study on the influence of soccer culture on physical education in China's universities based on linear regression analysis Research on the cultivation mechanism of “double-creative” talents in ethnic regions with the integration of industry and education in the context of the Internet Reform and innovation of Civic Education combined with deep and intensive learning Research on the organization of public space relations in commercial complex buildings in the context of big data A hybrid online and offline teaching model of professional English for Internet+ education platform The use of traditional Chinese elements in modern interior design in the context of multimedia A Study on College English Reading Teaching for Multimodal Teaching Model Application of biofilm-membrane bioreactor in municipal wastewater treatment Research on Tourism Environment Carrying Capacity Evaluation of Tourism Demonstration Area Based on Objective Optimization Method in the Perspective of Territorial Tourism Regional Logistics Routing Optimization System Based on Fractional Differential Equation Modeling Orientation and triage of preschool students’ interest development based on deep learning model Exploring a hybrid online and offline English teaching model based on model hierarchy analysis AHM-FC Model in the Evolution Analysis of Ideological and Political Subjects System Construction of Intercity Culture and Xinjiang Music Integration in the Context of “One Belt, One Road” Based on SCP Model Simultaneous localization and mapping of mobile robots with multi-sensor fusion 3D Scene Simulation System of Japanese Teaching Based on Finite Element Equation Assessment of tax-related risks in corporate betting agreements based on vector autoregressive model A deep learning model-based approach to financial risk assessment and prediction Multi-Governance of Basketball Event Organization in Ethnic Areas Based on PESTEL Analysis Model Design of a linear regression model-based Internet exit anomaly detection method Building Tilt Scanning Measurement Based on Binary Linear Regression Analysis Exploring the application of composite materials in ceramic design based on fuzzy numerical analysis Construction of law and economics litigation service platform based on multimedia retrieval Application of motion capture technology based on dance big data in dance retrieval Research on the innovative development model of ideological and political education based on big data and self-media environment Design of WeChat Public Service System for Toilets in Tourist Attractions Based on Adaptive Recommendation Algorithm The Innovation and Application of Computer Multimedia-assisted Teaching Methods in College English Teaching Research on the immersive multimedia virtual interactive experience technology of the Great Wall World Heritage based on VR vision system Deep learning-based fault diagnosis and localization method for fiber optic cables in communication networks Effect of low-intensity exercise therapy combined with health education on quality of life and blood pressure in hypertensive patients A Study on Innovative Teaching Strategies of English in Universities Based on VAR Model Research on the construction of enterprise financial management information based on feature set Research on the integration and innovation of red culture and ideological and political education in universities in the new media era Analysis of the impact of ADDIE education model based on logistic regression model on teaching contemporary cultural and creative product design Exploring the Construction and Practice of College English Blended Teaching Model Based on Fuzzy Comprehensive Teaching Evaluation Model Research on the optimization of prefabricated building preset scheme integrating BIM technology and BiLSTM model Research on practical education model of mental health development of college students in higher education institutions in the context of big data Correlation analysis between the quality of physical activity and public health based on artificial intelligence technology Badminton players’ trajectory under numerical calculation method Evaluation of the Integration Path of Ideological and Political Elements in English Major Courses Based on the ADDIE Model Application of multiple regression models in the analysis of kinematic parameters in competitive gymnastics Research on the structure of corporate financial management objective system based on BRP method Analysis of the influencing factors of college students’ mental health literacy based on multiple linear regression model Scale and efficiency of China’s radiation industry based on LightGBM model Analysis of the effectiveness of short video news dissemination based on data mining technology The construction of a mathematical model for college English interactive distance teaching Application of Data Mining Algorithms in Power Marketing Predictive Analytics Analysis of music teaching technology based on a data mining model Research on the Development of Young Teachers’ Informatization Teaching Ability in Universities Based on Big Data Technology Interactive texture replacement of cartoon characters based on deep learning model Application of Multiple Linear Regression Model in the Sustainable Development of National Traditional Sports Analysis of improved particle swarm algorithm in wireless sensor network localization Analysis of using big data to achieve precise employment of college students Exploring Innovative Strategies for Teaching English in Higher Education with the Support of Big Data The Origin and Significance of Research on Music Education Reform and Talent Cultivation Based on Evaluation Index Analysis of media content recommendation in the new media era considering scene clustering algorithm Study on the optimization of the cultivation path of finance professionals in universities in the digital era The generalized matrix equation for systematic evaluation of oral Russian self-study The application of computer VR technology in physical education Research on the method of ideological and political education in college physical education based on knowledge mapping Evaluation of Corporate Social Responsibility and Core Competitiveness Based on GA-SVM Model Gymnastic movement recognition based on support vector machine classification model Research on the construction and reform path of online and offline hybrid English teaching model based on time series Extraction of Design Factors of Chinese Dance Culture based on Analytic Hierarchy Model Cultural and artistic dissemination of traditional Chinese silk patterns in the 17th-18th centuries in the context of big data Application of traditional symbols in interior decoration based on VR technology Theory of physical education ecosystem based on SFIC model Research on the integration of online teaching resources in higher education institutions under the perspective of industry-education integration The integration of flipped classroom into university physical education teaching reform practice from the perspective of multimedia The Analysis of the Expression Form of Ideological and Political Elements in Philosophy Courses Based on Multimedia Information Fusion Strategy Diversified Integration of Civics Teaching Resources in Universities Based on Discrete Regression Model Study on the rehabilitation training effect of exoskeletal diseases based on the skeletal muscle geometry modeling method Exploring the teaching practice of visual communication design in colleges and universities under the background of big data Dance Rehearsal System Based on Linear Partial Differential Mathematical Equation Big data-based output-oriented teaching competency development for mathematics teacher trainees Research on dynamic detection method of bridge vehicle load based on optimization algorithm Deep Learning Based Sports Video Classification Research Design of energy big data and carbon emission monitoring system based on perceptron model in the context of carbon neutral and carbon peaking A model of online opinion dissemination based on vector autoregressive model of emotional information entropy Application of decision tree algorithm mining model in career planning goal simulation Multimodal construction of human movement dataset under the development of physical dance teaching in colleges and universities Visual Communication Design Method Based on Multimedia Information Processing Technology and Its Application Optimization of Teaching Path of Artificial Intelligence Programming Course in the Context of New Engineering Construction Application of short video recommendation technology in classical music teaching Reading promotion mode of university libraries in the context of information development The application of video text generation technology in assessing the effectiveness of teaching ethnic traditional sports Design of online art education system based on 3D virtual simulation technology Using Multimedia Information Retrieval Technology to Optimize the Strategies of College English Teaching Research on the current situation and development countermeasures of Chinese sports industry companies in the context of big data Study on the work-hardening behavior and tissue property analysis of high-strength magnesium alloy Information management of university physical education based on adaptive differential evolutionary algorithm An innovative approach to teaching physical education integrating modern network technology Research on the Optimization Pathways of University Education and Teaching Reform based on OBE Concepts Research on quality engineering management effectiveness improvement strategy of universities based on fuzzy clustering maximum tree algorithm A resource sharing platform based on the construction of cognitive mapping to promote the development of macro education in universities Research on fault feature extraction and early warning of rolling bearing vibration signal of generator set An Innovative Discussion on Ideological and Political Education for College Students Based on Digital Mining Construction of customer-aware grid interactive service system based on neural network model Research on the construction and practice of four-dimensional teaching system of Ideologies and Politics in automobile courses in higher vocational institutions Optimization analysis of transmission characteristics of wireless energy transmission system based on dynamic tuning algorithm Optimization Study on Carbon Trading and Constructive Repetitive Project Scheduling in the Context of Internet Era Research on the construction of personalized learning system supported by big data in education Exploration of digital media art professional design talent class training based on K-mode algorithm A Study on Implicit Education in Curriculum Civic Education of Universities Based on Differential Evolutionary Algorithm Design and implementation of fine-grained realistic 3D virtual simulation experiment Research on environmental impact assessment of ecotourism development oriented to cloud model Analysis of the Economics of Talent Mobility Based on Logistic Model Numerical simulation method of aluminum alloy heat treatment process based on BP neural network Resource distribution of online and offline interactive teaching mode based on feature fusion network Research on digital transformation innovation of the exhibition industry in the era of big data A structural model of teachers’ teaching competencies based on multimodal affective features of support vector machines An analysis of the innovation strategy of student management in universities based on big data Mathematical Modeling for the Spatial Distribution Features of Traditional Sports and Games based on ArcGIS Research on information visualization for digital media design methodology based on big data technology Analysis on the innovative education mode of the integration of information technology and traditional teaching in the era of big data A study on software development for comprehensive assessment of English online teaching quality in universities based on deep learning Research on the physical training of athletes in ice and snow sports based on big data Innovation and exploration of construction project management based on BIM platform of big data A Study on the Teaching Practice of Multimodal Data Analysis in International Chinese Language Education for International Students in China Rural tourism service design based on collaborative filtering algorithm after epidemic normalization The Planning & Designing of Urban Building Water Supply and Drainage Engineering in AI Era Research on the development strategy of art industry based on RNN model Innovation of China’s international trade methods based on the perspective of cross-border e-commerce Research on the influence factors and improvement path of rural e-commerce development based on neural network Research on distributed scheduling of mechanical job shop based on hybrid differential evolution The theory of innovation and entrepreneurship education practice with the integration of modern information technology and new engineering Analysis of the technical and tactical evolution characteristics of college men’s soccer based on simulated annealing algorithm The effect of fitness qigong exercise on college students’ physical fitness based on big data technology Research on fabric yarn detection based on improved fast R-CNN algorithm A study on the management of big data technology in financial decision-making of enterprise cloud accounting Human pose evaluation based on full-domain convolution and LSTM The construction of construction engineering management system for intelligent terminal platform Research on the innovation of the path of ideological and political education in universities based on data mining Research on the layout of coal resource project development in China based on multi-objective optimization algorithm in the context of infrastructure construction Exploring the application of virtual space in spatial design in the era of artificial intelligence Analysis of effective integration of information platform courses and daily teaching in universities based on adaptive network Empirical evidence of coupling and coordination between circular economy and foreign trade based on big data Research on high quality development system of vocational education based on improved particle swarm optimization algorithm Rock breaking model implementation for rigless drilling with robust control of vibration A strategy study based on artificial intelligence data analysis of rural governance into tourism industry development research Exploration of the innovative development path of university civic education based on data mining algorithm Practical research and analysis of the path to improving the quality of higher education institutions in the context of information technology Study on the Flipped Classroom Teaching Model of “Business English Translation” in the Context of Big Data The Application and Exploration of Curriculum Ideology and Politics in the Innovation and Entrepreneurship Education of Medical College Students Based on Hierarchical Analysis Method Wide Range Si3N4 Optical Sensor Using Cascaded Mach-Zehnder Interferometer Coupled Ring Resonator Research on brand operation strategy of integrating traditional culture into the modern tourism industry based on big data analysis A Study on English Teachers’ Behavior and Teaching Effectiveness in Universities Based on Big Data Technology Construction of intelligent energy measurement system suitable for energy block chain technology The Fit of Constructivist Teaching Theory and Foreign Language Teaching Reform in the Background of the Internet Era Research on intelligent recommendation algorithm of literature based on knowledge graph technology State monitoring and fault detection for convolutional neural network integrated energy systems Heritage development of traditional culture in folk art education based on the decentralized Internet Research on the construction of sports statistics index system based on AMOS model Intelligent algorithm-based analysis of corporate financial decisions in the era of cloud accounting Bias detection and knowledge graph comparison analysis for medical record datasets The use of management accounting and financial accounting in financial management based on multiple linear regression algorithm Construction of intelligent practice system of college Civics teaching based on VR technology in the information age Application of AMOS structural equation modeling in language teaching for young children Research on the effect of animation IP dissemination based on social network analysis A Green Supply Chain Management Strategy for E-Commerce Based on Multiple Blockchain Technology Prediction of urban residential electricity security based on Verhulst grey model Exploring Innovative Strategies for Teaching English to College Students Based on Data Mining Theory Research on the cultivation mode of Russian language talents in the context of Hainan Free Trade Port based on big data statistical analysis Application of nonlinear regression theory based on edge computing to mathematical modeling in universities The innovation path of agricultural products e-commerce marketing mode under the background of “live broadcast + short video” Ecological urban conurbation design based on perceptual machine model Coupling research of Confucianism and Chinese philosophy based on data mining model A Study on the Influence of Ecological Translation Theory on University English Translation Teaching in the Context of Big Data Analysis The construction of influencing factors and evaluation system of modern apprenticeship training in ancient literature based on calculus error estimation method The construction of a localized teaching model of the Orff music teaching method based on big data analysis Exploring the reform of college mental health education based on multi-source data A study on the application of non-fiction writing in writing courses in local universities based on a decentralized Internet model Analysis of high quality collaborative development path of university civic education based on Rete’s pattern matching algorithm An Exploration of Chinese Language International Education Exchange and Cooperation Model Based on Random Forest Model Optimization of Teacher Incentive Mechanism and Policy Supply in Rural China Based on Judgment Matrix A Study on Risk Management of Commercial Banks’ Home Mortgage Loans Based on Risk Management Framework Research on multimedia intelligent algorithm based on recognition and detection of table tennis ball striking action A study on the application of creative writing in literature teaching based on multiple linear regression algorithm Analysis of the effect of user-understanding-based retrieval system improvement on the application of intelligent archive management The positive impact of increased government bailout on weakening corporate default risk Teaching reform and innovation of vocational development and employment guidance courses in colleges and universities based on random forest model Innovative Research on Synergistic Development of Digital Integrated Media and Visual Design Based on Kruskal Algorithm Analysis of the application of Internet multimedia technology in the mixed teaching of public physical education Modeling the connection between oil painting creation and university students’ inspiration in the context of “Internet+” Exploring the relationship between digital transformation of enterprises and “information infrastructure” in the new infrastructure perspective - based on industrial connection The cultivation system of cross-media narrative ability of scriptwriter talent based on cluster model Exploring the path of reforming college mental health education curriculum based on big data technology The path of optimizing and improving the teaching innovation ability of visual communication based on the SWOT model Research on the effective way of mental health education based on artificial intelligence technology Research on network data transmission and compression based on compression-aware model Research on the interaction mechanism of intangible cultural heritage living analysis and study tour development based on big data technology Fatigue life prediction of power transmission towers based on nonlinear finite element analysis A study of innovative strategies for teaching English to college students based on tiered probit Research on the application of data mining technology in music therapy in the age of information technology Design and development of personalized education information management system based on artificial intelligence The Structure and Influencing Factors of Students’ Innovation and Entrepreneurship Ability Based on the Structural Equation Model Research on the interaction and integration of university administration and creative and entrepreneurship education in the perspective of big data The Influence of Green Entrepreneurship Orientation on Enterprise Performance Based on the TPB Model Research on the problems and countermeasures of environmental design of rural residential areas based on deep learning model A study of user data privacy protection algorithms in the context of metaverse based on emotional AI IoT Research on the influence of physical games in the process of preschool children’s psychological development Computer Security Active Defense Technology Based on Bayesian Model Visual Operation and Maintenance Monitoring of Power System Data Network Based on Neural Network Model Design Method and Application of Intelligent Sports Equipment Based on Stochastic Differential Equation Color Processing System of Art Color Based on Fractional Differential Equation Global efficiency estimation of complex networks and regional technological and economic development based on fractal network model DMAIC Model’s Relative Efficiency Analysis of Input and Output in Cultural Construction of University Library and Mental Health Education of College Students Integrated Operation and Maintenance of Power System Communication Based on the Markov Model Oscillation and Asymptotic Behavior of a Special Delay Third Order Nonlinear Neutral Functional Differential Equation Statistical Analysis of Export Waybill Data of Cross-Border E-Commerce Based on ISM Model The construction of teaching quality evaluation system of health management majors in universities based on information fusion technology Research on algorithm composition and emotion recognition based on adaptive networks Research on the effective guidance method of college soccer training activities based on SAQ training method Analysis of intelligent agent operation strategy of power system scheduling based on intelligent optimization algorithm The integration of English teaching and ideological and political education based on cognitive mapping constructs A study on the measurement and standardized assessment model of student learning outcomes in vocational institutions Application of graded phase change materials for solar energy inter-seasonal storage heating and thermal storage characteristics Research on standardization and quantitative extraction of information of ancient building components based on BIM Planning Research on Electrically Coupled Integrated Energy System Based on ARIMA-LSTM Model Innovative exploration of the implementation path of teaching reform of law courses based on Internet technology Modeling Analysis of the Contribution of Digital Technology to Economic Quality Development Building a “party building + political thinking” model for grassroots mass organizations in China in the era of big data Exploration of cross-border e-commerce live streaming and local culture dissemination model based on cluster analysis Zagreb Connection Indices for Metal Trihalides The challenges of ideological and political education in universities based on the Internet environment and its optimization path Analysis of the problems and countermeasures faced by the innovation and entrepreneurial education of college students in higher education institutions under the background of computer big data Research and reflection on college physical education classroom teaching based on SSGAN model Research on music signal feature recognition and reproduction technology based on multilayer feedforward neural network Analysis of power system scheduling operation mode based on multi-objective optimization algorithm A study on the optimization of teaching paths of integration of core literacy in physical education and health courses in colleges and universities based on function integral algorithm Adaptation of the COVASIM model to incorporate non-pharmaceutical interventions: Application to the Dominican Republic during the second wave of COVID-19 Karnauph Classifier: A Hybrid Mathematical Model for Data Classification An Improvement of Parameter Estimation Accuracy of Structural Equation Modeling using Hybridization of Artificial Neural Network in the Entrepreneurship Structural Model Mathematical model for portraits of members in large-scale department stores Analysis of the Innovation of University Students’ Education Management Based on the APT Model Construction of College Vocal Music Innovation Teaching Mode Based on ARCS Model The Clustering Effect Analysis of College Marxist Theory Network Propagation Based on Ant Colony Intelligent Algorithm Effects of Aerobic Training on Body Function Based on Multiple Linear Regression Analysis A study on the advantageous degree of inbound tourism flow collection and distribution in domestic provinces and cities along the Belt and Road Initiative based on distributed fuzzy computing theory Research on the cultivation path of craftsmanship in university education based on fuzzy hierarchical analysis Research and strategy of university education and teaching reform based on intelligent education platform Limit cycles of a generalised Mathieu differential system The nonlinear effects of ageing on national savings rate – An Empirical Study based on threshold model Research on Hazard Analysis and Control Strategy of Power System Dispatching Operation Based on Information Fusion Technology The design of rural farmland compensation standard under the innovative model of “blockchain + supply chain finance” Exploring the online interaction model of college English based on deep learning network Problems and Countermeasures of Enterprise Financial Sharing in the Context of Big Data Research on the identification and integration of folk dance creation elements based on big data technology Study on the spatial and temporal evolution of industrial carbon emission efficiency and influencing factors based on improved Adaboost regression algorithm Research on the path of high-quality development of tourism in Hainan based on international comparison Research on the mechanism of teaching culture in Civics course based on deep learning model Virtual Museum Scene Design Based on VRAR Realistic Interaction under PMC Artificial Intelligence Model Research on the artistic expression form of traditional cultural imagery in sculpture modeling based on DE-GWO model Construction Cost Control and Management Based on Mapping Model and BIM The construction of a teacher training system for artificial intelligence professionals in universities oriented to RNN models Research on innovative cultivation mode of English and American literature translation talents based on internet environment Improved K-SVD Model in Higher Vocational Physics Teaching Research on the quality control strategy of marine engineering based on big data technology The Application of Artificial Intelligence Teaching Software in College English Teaching Dance Emotion Characteristic Parameters Based on Deep Learning Model Analysis of energy storage capacity optimization of distribution network based on quadratic planning algorithm under large scale DG access Column generation algorithm based on recursive matrix for optimal development strategy of physical education teaching in colleges and universities BIM Model Design of Deep Foundation Pit Engineering Based on BP Network Civic education reform based on deep reinforcement learning model Research on the development of teaching resource library for art design majors based on artificial intelligence technology Analysis of quantitative management of online intelligent monitoring of tailing ponds based on the perspective of safety prevention and control The Innovative Development Model of Ideological and Political Education Based on Big Data and We Media Analysis of rural tourism culture advertising content based on LSTM-CNN model Construction of network mathematics model for college English mixed teaching Optimization of college physical education curriculum based on G-DINA Strategic Policy Innovation of Regional Development Strategy Transformation in the New Era Based on Progressive Differential Model Optimization of local ethnic music teaching transmission path based on logistic regression model Vocational Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Exploring the Construction of Curriculum System of Theater and Film Studies Based on ADDIE Model Innovative research on propagation modes of short video works based on digital technology Analysis of the effect of compound training for explosive power on improving the psychological resilience of football athletes Construction of feature extraction model for machine foreign language translation evaluation system Research on the teaching model of physical education in colleges and universities based on semi-supervised radial basis function neural network Exploration on the path of ideological and political education and cultural education in colleges and universities from the perspective of red culture Effect evaluation of ideological and political guidance in university party construction based on hierarchical analysis model A study on predictive analysis and rules for international financial risk considering debt crisis Analysis and Evaluation of Ecotourism Resources in China Based on RIAM Model Can policy coordination facilitate unimpeded trade? An empirical study on factors influencing smooth trade along the Belt and Road A study of interactive furnishing design in the context of digitalization with a view to functional requirements Research on Intelligent Recognition Model of English Translation Based on Nonlinear Dimensionality Reduction IC Features A study of Japanese language sense and evaluation based on the basic structure of sentence S-V-O Application of information fusion technology in maize fertilizer utilization experiments Research on design of customer portrait system for E-commerce A practical investigation of cultivating students’ art innovation ability based on word vector model Optimization of image processing methods based on wavelet transform and adaptive thresholding Research on rule extraction method based on concept lattice of intuitionistic fuzzy language Prediction of mechanical equipment fault diagnosis based on IPSO-GRU deep learning algorithm Characteristics of regional landscape system as a medium of urbanization based on cognitive mapping constructs Application of data mining model in English text writing training system Challenges and content structure optimization of ideological and political education in universities based on structural equations The Construction of Satisfaction Evaluation System of Tourism Scenic Area Management Based on Cognitive Mapping Construct Design and evaluation of intelligent teaching system on basic movements in PE A Hierarchical Analysis Structure Model for the Integration and Optimization of Sports Industry Digitalization and Tourism Industry Exploration of the system of evaluation system of university teachers’ titles based on blockchain technology The Wisdom of Building Dong Wind and Rain Bridges in Northern Guangxi —— An Example from Pingyan Village in Sanjiang County Exploration and Practice of College English Reading Teaching Reform in the Context of Deep Learning A Model for Integrating and Reconstructing Music Curriculum for Higher Education Based on Deep Learning Construction of an economic environment scheduling system based on the multi-objective fuzzy optimization model Analysis of the evolution of modern Chinese history based on data mining Statistical Analysis of Advanced Mathematics Teaching Quality Evaluation Based on Quantile Regression Model Analysis of music teaching technology based on a data mining model The curriculum optimization exercise system of college physical aerobics based on partial differential equation Prediction of Cyberspace Security Data Based on the Markov Chain Model Scheduling Optimization of hotel supply chain based on heterogeneous multipopulation ant colony algorithm Regulation of Regional Economic Law Laws Incorporating Adaptive Differential Evolutionary Algorithms from a Blockchain Perspective The application of multiple regression model in interactive English classroom teaching Effect analysis of green credit financial products on regional carbon emissions Sports Talent Training System of Sports Aerobics Based on Fractional Differential Equation Analysis of the fusion development of traditional culture concept and interior art design based on 3D scene analysis Intelligent physical education teaching system in colleges and universities based on grey correlation degree model Research on evaluation system of cross-border E-commerce platform based on the combined model Financial customer classification by combined model Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing An analysis of the applicability of integrating Confucian moral education ideas into the Civic Education of college students under the perspective of cultural communication Research on the development mode of cultural tourism industry based on the concept of low carbon and environmental protection by big data analysis Research on Digital Management and Collaboration Platform for Civil Aircraft Manufacturing Logistics Scenarios Research on the construction of professional clusters in newly built undergraduate colleges facing cultural and creative industries under the background of integration of industry and education Analysis of the fusion development of traditional music elements and sports dance based on Markov chain prediction model Innovation in thinking and practice path of digital economy based on big data analysis to promote high-quality development of agricultural service trade Construction of a coupled evaluation index system of rural habitat environment and rural tourism in China based on multi-objective optimization algorithm The current situation and measures for the protection of marine intangible cultural heritage in Hainan in the context of big data The reform of Japanese language teaching and the cultivation of intercultural communication skills in colleges and universities in the context of the Internet Research on big data audit based on financial shared service model New Green’s Function Method for Solving Underground Oil Seepage Problems The zero-Hopf bifurcations of a new hyperchaotic system Research on the path of integrating Yan’an spirit into the ideological and political education of contemporary college students based on NDK-means algorithm A teaching model of college ideological and political theory course based on multiuser detection algorithm Improving the quality of preschool education management based on the ordinary differential error approximation method Research on the application of intelligent virtual simulation technology in the display of art works Safety considerations of static sensitization emulsification technology for Kings-type emulsion explosives based on quadratic linear programming algorithm Research on the influence of social network on young people’s capacity of innovation and entrepreneurship based on stochastic forest model Analysis of the Current Situation and Countermeasures of Cross-border Communication of Chinese Medicine Culture in the Context of Big Data Research on the construction of the evaluation index system of teacher morality in universities under the background of big data The mining method of integrating the thinking and political elements of curriculum into English teaching based on big data technology An Empirical Analysis of Internet financing and local economic growth Based on Big Data Retraction: Wei, Wei and Lu, Liu. “The influence of X fuzzy mathematics method in basketball tactics scoring” Applied Mathematics and Nonlinear Sciences, vol.7, no.1, 2022, pp.677-684 Retraction of: Pan, Liurong, Alshalabi, Riyad, Li, Pingfen, Naminse, Eric Yaw and Tan, Fuqiang. “Analysis of digital humanistic knowledge production based on natural language processing” Applied Mathematics and Nonlinear Sciences, vol.0, no.0, 2023, pp.-. https://doi.org/10.2478/amns.2022.1.00029 Retraction Retraction: Retraction of: Mundewadi, R. A. and S, Kumbinarasaiah. “Numerical Solution of Abel's Integral Equations using Hermite Wavelet” Applied Mathematics and Nonlinear Sciences, vol.4, no.2, 2019, pp.395-406 A new expansion auxiliary equation method for traveling wave solutions of the simplified MCH equation and the ZKBBM equation Geometric Properties of a Linear Complex Operator on a Subclass of Meromorphic Functions: An Analysis of Hurwitz-Lerch-Zeta Functions Retraction Study of Enterprise Resource Optimization Scheme from the Perspective of Knapsack Problems Analysis of the innovation path of financial accounting education model from the perspective of integration of industry and education The construction of a professional English online and offline hybrid teaching model based on data mining technology Digital transmission of intangible cultural heritage based on empirical modal analysis in a multicultural perspective Study of gut microbial homeostasis and targeted therapy for hepatocellular carcinoma based on eigenvalue-fitting superiority algorithm Data Analysis of Linguistic Landscape in the Context of “Internationalization +” Urban Construction Research on the application of virtual reality technology in contemporary environmental design Research on the quality system of psychology courses in higher education institutions based on the background of deep learning Research on embedded-based IoT information data collection technology Seismic performance assessment of typical vertical light industrial building structures based on IDA method Optimal seismic solution design for underground frame structure of subway station considering uniform damage