- Detalles de la revista
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- Revista
- eISSN
- 2444-8656
- Primera edición
- 01 Jan 2016
- Calendario de la edición
- 2 veces al año
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In recent years, with the development of Internet technology and the expansion of netizens, online shopping has become a common trend. To reduce the risk of Internet transactions and increase the authenticity of product information, the online comment system has emerged and has been applied to various industries such as shopping, tourism, hotels and short-term rental reservations. Online comments have become an important source of information for consumers’ online shopping decisions, which can help consumers refine product perceptions, and reduce information search difficulty and investment cost. The influence of online comments on consumer shopping decisions has been widely confirmed [1, 2, 3]. However, in the field of Internet renting, through the survey of China’s major Internet renting platforms: Ziruo, such as Lianjia, Anjuke, 58.com, and other Internet renting platforms, we can see that the current Internet renting model has yet introduce the online comment system, and the rental webpage only has the display of the basic situation of the house and the introduction of certain properties of the house. However, Internet renting carries common risks of Internet transactions. The renting platform also is not fully equipped and is replete with several problems such as false information, low creditworthiness and slow information updates [4, 5, 6], resulting in low trust among tenants regarding housing information on Internet rental platforms, high cost, and difficulty in distinguishing its authenticity. As a result, tenants waste a lot of time exploring housing that does not match their expectations, which may reduce the their offline viewing decisions and restrict the further development of the Internet rental model.
Internet renting is different from other online commodity transactions. Compared with other products, tenants are often more cautious about the choice of house leasing, and most of them will not choose to make decisions about house leasing online. They only use the Internet rental platform to initially understand housing information, select one or several intentional houses for further information collection, and then make the final leasing decision That is, the search and recognition of housing information on the Internet rental platform is the basic work for tenants to decide whether to rent a house. Only when the housing information meets tenants’ expectations, can they enter the stage of further understanding housing information and decision-making, which is essentially similar to the online shopping decision-making process. Therefore, this research focuses on the viewing stage of the housing information and the decision-making behaviours made after browsing, and explores the necessity and rationality of introducing the online review system into the Internet rental model. This research further discusses the impact of online comments on the information browsing and processing behaviours of housing information and offline viewing decisions.
The eye-mind hypothesis proposed by Just et al. provided a theoretical basis for the application of eye movement technology. which believed that people’s eye movements were consistent with the brain’s information processing process, and the gaze behaviour of the eyes reflected the inner cognitive processing process [7]. Therefore, eye-tracking technology was mainly suitable for the study of microscopic subjects’ visual behaviour and cognitive processing [8]. At present, the content of online comments using eye-tracking technology is not rich. In terms of content, the research mainly focused on the impact of online comments on consumer perception through eye-tracking technology [9, 10, 11, 12, 13], and the influence of online comments on consumers’ buying intention and behaviour [14, 15, 16, 17, 18, 19] and so on. In terms of the research field, the research involved tourism [13, 20, 21], hotel reservations [22], commodity purchases [16, 17, 23, 24] and many other industries. Generally, consumers’ browsing cognitive process was represented by eye movement indicators, such as fixation duration, fixation count, pupil diameter, reaction time, etc. Among them, the fixation duration and the fixation count were mostly used to measure consumers’ interest in a certain area or processing effort [25], and, especially, the regression duration was used to indicate the consumer’s reprocessing of a certain area of interest (AOI) [26].
The online comment system was an important way for consumers to further understand product information, which can help them learn more about the product, reduce the increased time and energy costs caused by false information, reduce the product return rate and avoid consumers’ poor consumer experience [27, 28, 29]. Consumers’ trust in online comments was much higher than their trust in corporate advertising and marketing staff [30], so they looked forward to and actively seek online comments to provide a basis for their decision-making. At present, researches on online comments and consumer purchase decisions have received widespread attention and was an important factor that can influence consumer decisions [31, 32, 33]. In this study, we believe that under the Internet rental model, the use of the online review system will also have a positive effect on tenants’ decision-making for viewing properties, which will enhance their viewing decision-making behaviour and also reduce their cognitive processing efforts on housing information.
The research on the influence of online comments on consumer decision-making was mainly explored from three levels: the source of the review, the review itself and the recipient of the review [34, 35, 36]. First, in terms of comment source, the research was mainly based on the professionalism and reliability of the sender of the comment [37]; Second, the content of the comment itself mainly involved the attributes of the comment information, such as the extremeness of the comment [38], the comment length [39], number of comments [40] and comment rating [41], the quality of the review information, such as the relevance and timeliness of the review [42], etc., and also the comment types, such as expression form [43], display form [44], and the comment genre [10], etc.; Third, in terms of characteristics of recipients of online comments, recipients’ involvement [45], professional capabilities [27], recipient gender [46] and other characteristics have been proven to affect consumer perception and behaviour. In addition, some scholars distinguished between initial comments and additional comments and paid attention to the difference in their impact of them on consumer decision-making [47, 48].
In the research on online comments, scholars have not paid much attention to the impact of review types on consumer information search. Duhan et al. [49] used to classify word-of-mouth based on whether the evaluation was based on the internal subjective criteria of consumers. They believed that word-of-mouth was mainly divided into two types: Affective Cues and Instrumental Cues, which were important distinguishing marks for the type of comment expression. However, there are still disagreements on which form of expression of online comments is more concerned by consumers and helps consumers make purchase decisions. Hao et al. [43] divided the types of comments into subjective comments and objective comments according to different forms of expression. They defined the objective comment form as using declarative sentences and the third person to objectively evaluate the characteristics and attributes of the product and defined the subjective comment form as the first-person opinion expression with strong personal subjective colour in addition to the objective expression. And in the research, it was found that the greater the subjective expression tendency of comments, the lower the usefulness of comments to consumers. Consumers would have cognitive conflicts due to their subjective evaluations of others, which would increase the cost of consumer information cognitive processing and cause consumers to spend more time on subjective comments [43]. However, some scholars believed that compared with objectively expressed comments, subjectively expressed comments were more helpful for consumers to obtain more supplementary information and eliminate sensory uncertainty, which could reduce the cost of cognitive processing and was more helpful for consumers to search for information and make purchase decisions [50]. According to the content attributes of comments, some scholars defined the types of comment expressions as attribute type and experience type. They believed that attribute comments mainly provided objective attribute information of goods, while experience comments mainly presented consumers’ subjective feelings [51]. Tang [19] divided the types of online comments into objective attribute expressions and subjective experience expressions. They believed that objective attribute expressions conveyed objective product attributes, while subjective expressions conveyed personal experience. And in the research, it was found that the review type had a significant impact on consumers’ perceived usefulness, and the objective attribute comments of search products required more cognitive processing input than subjective experience comments. Existing studies had different naming of comment expression forms, but the main basis included the essential difference of whether it is a strong expression of self-experience. Based on summarising the previous research, these researches divided the comment types into subjective comments and objective comments according to the form of expression. The subjective comment was the tenant’s personal experience description of the property, while the objective comment was the description of the property. Existing studies still had different views on the impact of subjective and objective comment expression on consumer cognition and decision-making behaviour. We agree that subjective comments require tenants to invest more cognitive processing efforts to realise the process of summarising the experience of others into their own cognitive system [43]. What’s more, about the combined use of eye movement indicators and online comments, most studies generally use Fixation duration to indicate consumer cognitive effort and lack a detailed interpretation of cognitive processing. Only a few scholars distinguish between the first browsing and re-browsing processes and use regression indicators to interpret consumer information browsing behaviour in stages [18]. In this study, fixation duration, fixation counts, first fixation duration, first fixation counts and regression duration were used to interpret the browsing and processing process of rental room source information in stages. Tenants put more cognitive processing efforts in the AOI, which is shown as more fixation duration, fixation counts and regression duration. It is also assumed that the difference in the tenant’s cognitive effort towards comments is mainly reflected in the review process, and the difference in the initial process is not significant. Based on the above review, Hypothesis 2 and Hypothesis 3 are proposed.
Individuals have different information processing methods, and males and females have certain differences in information browsing and processing methods. Meyers-Levy and Sternthal [52] believed that females are comprehensive information processors and pay more attention to subjective information, while males are selective information processors and pay more attention to objective information. Some scholars further proposed that males tend to give priority to information about functional attributes, while females tend to give priority to value/experience information. Smith [53] applied the above research conclusions to the consumer’s advertising information processing process and found that males make decisions based on one-sided information, while females make decisions after considering the information more comprehensively. In the field of combining online comments and eye-tracking technology, Song et al. [54] found that when buying clothing products, gender factors will have a certain impact on the average regression counts in AOI, and have an impact on consumers’ information search behaviour. Diao et al. [11] found that gender had a moderating effect between product type and review forms, and reflected complex interactions. Therefore, gender factors are introduced into the research of tenant browsing and information processing in housing information search in this study. Hypothesis 3 and Hypothesis 4 are proposed.
The influence of product characteristics on consumer information browsing and decision-making behaviour has also been extensively explored. Commodity brands [54, 55], product types [54, 56, 57], platform types [58], etc., will all have an impact on consumer browsing and decision-making behaviour. In this study, the Internet rental market is selected for research, and the commodity being reviewed is a house. At present, the types of houses in the market are mainly divided into two types: ordinary residences and apartments. From the current rental market transaction volume, ordinary residential leasing occupies the main market. This study also uses the type of house as an independent variable to explore whether it has a significant impact on the cognition of the source information of rental rooms and the decision-making behaviour of viewing houses, and believes that ordinary houses will receive more attention from tenants. Accordingly, Hypotheses 5 and 6 are proposed.
The Eyelink Pro Duo eye tracking device was used in this experiment, which has the advantages of low subject interference, simple operation and high sampling accuracy [26, 59], which was suitable for consumers behavioural research, cognitive psychology research and other fields. The experimental materials were presented by HP computer (21 inches) with a resolution of 1024 × 768. The experimental data were recorded and analysed by Eyelink’s supporting data analysis software Data Viewer.
The experiment was carried out in the Eye Movement Laboratory of Beijing Forestry University, which has a good lighting environment and no noise interference, so it met the eye movement experiment standards. The experiment recruited 122 subjects, including 65 females and 56 males. The subjects were divided into apartment groups and ordinary housing groups. Each group of subjects was randomly selected, with 61 subjects in each group. After the eye movement experiment, the data from the subjects with missing values were eliminated, and 104 valid data (45 males and 59 females) were obtained, with 52 subjects in each group. The subjects were all 20–30 years old students (mainly undergraduates and masters) who were willing to rent a house through the Internet in the future. According to the ‘2020 China Youth Rental Life Blue Book’, the main body of the new generation of urban tenants is composed of groups under the age of 30, obtaining bachelor’s degrees and above. The tenant groups in the rental market are showing younger characteristics, and they mostly choose the Internet rental platform to search for housing information, so the selected student participants are representative. Participants have all the experience of browsing online listing information but have no experience with similar experiments. And they all have normal vision after correction and normal colour vision.
The experiment adopted a three-factor mixed experimental design of 2 (comment expression: subjective, objective) × 2 (gender: male, female) × 2 (house type: apartment, ordinary housing). Among them, the subjective and objective expressions of the comments were the in-group factors, and the gender of the tenant and the house type were the between-group factors. During the experiment, subjective comments and objective comments were divided into two areas of interest of the same size. The independent variables in the experiment were the subjective and objective expressions of comments, the gender of the tenant, and the type of house. The dependent variables were the eye movement indicators and house inspection decisions. The specific eye movement indicators used in the study included fixation duration, fixation counts, first fixation duration, first fixation counts and regression duration.
The materials presented in the experiment were divided into ordinary housing groups and apartment groups, and the design was all the same except for the housing type information. The design of experimental materials drew on the design of real rental platforms, and the design of experimental materials was mainly based on the ‘Anjuke’ page, which is a famous rental website in China. The page display of each group of experimental materials included housing pictures, basic housing information, housing supporting design, detailed information such as housing traffic, surrounding areas, community greening, and housing comments. Housing comments mainly drew on existing rental information comments and short-term rental housing comments for simple processing to ensure that the comments are roughly equal in size, simple and easy to understand, making subjects have no cognitive processing difficulties. Before the formal experiment, the review content was tested for differences. Thirty real estate marketing researchers were selected to conduct a review differences survey, and the results were significant (
Before the formal eye movement experiment, 122 subjects were surveyed on the decision-making behaviour of house viewings with or without comments. The results showed that 120 subjects believed that the listing information with comments was easier to decide to see the house, proving that whether there were comments had a significant impact on consumers’ house seeing behaviour (
After the end of the eye movement experiment, the subjects’ decision-making behaviour indicators for house inspections were re-stated, and the contingency table was used for analysis in SPSS. The results showed that under the premise of comments, the number of subjects who chose to see the house was 49, but only 33 in the context of no comment, which proved that there was a significant difference in the decision-making rate of the subject in the context of whether there were comments (
In this experiment, the comment expression form is within the group factor, so the subjective comment and the objective comment AOI were subjected to a paired sample
Single sample K–S test
| Subjective comments | 0.200 | 0.200 | 0.000 | 0.000 | 0.200 |
| Objective comments | 0.200 | 0.100 | 0.000 | 0.000 | 0.086 |
It can be seen from Table 1 that the
Paired sample
Since the Fixation duration, the Fixation counts, and the Regression duration of the subjective and objective comments are significantly different, the average value of these three indicators is further analysed. From Figure 1a–1c, we can see that the average Fixation duration, the average Fixation counts, and the average Regression duration of subjective comments are higher than those of objective comments, which shows that tenants will put more cognitive processing on subjective comments. Therefore, Hypothesis 2-1 holds.
Non-parametric test. The two indicators of the First fixation duration and the First fixation counts don’t conform to the normal distribution. Therefore, the Wilcoxon rank sum test and sign test of two related sample tests of the non-parametric test need to be used for different analyses. The results are shown in Table 3. It can be seen from Table 3 that the First fixation duration (
Paired sample
| Subjective and objective comments | 9.239 | 0.000 | 10.400 | 0.000 | 9.576 | 0.000 |
Fig. 1
Comment form differences in eye movement indicators. (a) the mean Fixation duration, (b) the mean Fixation counts. (c) the mean Regression duration
Non-parametric test
| Wilcoxon rank sum test | 0.220 | 0.276 |
| Sign Test | 0.281 | 0.246 |
It can be seen from Table 1 that the Fixation duration, the Fixation counts and the Regression duration of the subjective comment AOI conform to the normal distribution, so the analysis of variance (ANOVA) is performed on these three indicators. The results are shown in Table 4.
Variance analysis of subjective comment AOI
| Gender | 5.925 | 0.017 | 2.764 | 0.099 | 5.622 | 0.020 |
| House type | 0.018 | 0.893 | 0.003 | 0.954 | 0.168 | 0.682 |
| Gender × house type | 3.229 | 0.075 | 2.479 | 0.119 | 2.087 | 0.152 |
AOI, area of interest
ANOVA. It can be seen from Table 4 that gender has a significant effect on the Fixation duration (
Interaction ANOVA. It can be seen from Table 4 that the
Non-parametric test. The First fixation duration and First fixation counts don’t obey the normal distribution, so the non-parametric test method of two independent samples, namely the Mann–Whitney
Fig. 2
Gender differences in eye movement indicators under subjective review. (a) The influence of gender on the mean Fixation duration. (b) The influence of gender on the mean Regression duration
Mann–Whitney
| Gender | 0.775 | 0.638 |
| House type | 0.413 | 0.555 |
It can be seen from Table 1 that the Fixation duration, the Fixation counts and the Regression duration of the objective comment AOI conform to the normal distribution, so the ANOVA is performed on these three indicators. The results are shown in Table 6.
Variance analysis of objective comment AOI
| Gender | 4.862 | 0.030 | 3.002 | 0.086 | 3.978 | 0.049 |
| House type | 1.821 | 0.180 | 1.046 | 0.309 | 1.946 | 0.166 |
| Gender × house type | 3.388 | 0.069 | 2.076 | 0.153 | 2.809 | 0.097 |
AOI, area of interest
ANOVA. It can be seen from Table 6 that gender has a significant effect on the Fixation duration (
Interaction ANOVA. It can be seen from Table 6 that the
Non-parametric test. The First fixation duration and First fixation counts don’t obey the normal distribution, so the non-parametric test method of two independent samples, the Mann–Whitney
Fig. 3
Gender differences in eye movement indicators under objective review. (a) The influence of gender on the mean Fixation duration. (b) The influence of gender on the mean Regression duration
Mann–Whitney
| Gender | 0.383 | 0.108 |
| Brand | 0.663 | 0.426 |
The behavioural data is the decision made by the subjects whether to look at the house offline after browsing the house information, which is analysed by using the SPSS contingency table. The results show that, without considering the type of house, 64.4% (29 persons) of males choose to inspect the house, and 35.6% (16 persons) choose not to inspect the house, correspondingly, while 67.8% (40 persons) of female choose to inspect the house, and 32.2% (19 persons) choose not to inspect the house. Through comparison, the decision-making rate of women choosing offline viewing is slightly higher than that of men, but the difference is not very significant (
Judging from the decision-making data of house viewing behaviour, it is shown that 98% of the subjects believe that the online review system has a positive effect on information processing and decision-making behaviour through the questionnaire survey. In the housing information browsing simulation experiment, it is also found that under the background of the property information with comments, the number of people who choose to see the house was 49, but only 33 people under the background of no review. There is a significant difference in the housing decision-making rate. Therefore, it can be considered that the online comments are beneficial to tenants’ cognitive processing of housing information, and the online review system can improve tenants’ viewing decision-making behavior. Hypothesis 1 is established. It is necessary and feasible for online review systems to introduce to the Internet rental field.
From the analysis results of the paired sample
From the analysis of the effect of gender factors on the tenants’ house information browsing and cognition process, gender has a significant impact on the Fixation duration and the Regression duration of subjective comments and objective comments AOIs, but it has no significant effect on the Fixation counts, the First fixation counts, and the First fixation duration. So, the conclusion is supported by eye movement indicators that there are some cognitive differences between males and females in the process of information. Through the mean comparison analysis of the Fixation duration and the Regression duration with the significant difference, it is found that the Fixation duration and the Regression duration of female tenants on AOIs are much greater than that of male tenants. Hypothesis 3 are valid partially, indicating that both male and female tenants will pay more attention to subjective comments in review browsing, but females will pay more attention to them than males. There are certain cognitive differences between males and females in the process of browsing and processing housing information, which is in line with the selection theory assumption. Females are comprehensive information processors, while males are selective information processors [52]. Therefore, females will invest more cognitive processing efforts on reviewing information to obtain more comprehensive information to make decisions. From the perspective of the gender factor’s influence on tenants’ decision-making behaviours, there is a small difference in the ratio of male and female tenants’ decision-making behaviours. Gender factor has no significant impact on tenants’ decision-making behaviours, Hypothesis 4 doesn’t hold. The reason is explored in retrospective interviews and it is found that there is a ‘pass line’ effect in the tenants’ willingness to see the house. If the basic conditions of the house meet the budget, the house has no unacceptable conditions, and the comments have no significant cognitive conflicts, then the house reaches the pass line, and the subject will choose to go to the house. Due to the unique characteristics of Internet rental housing, housing rental cannot be completed online directly and quickly like ordinary online products. Most tenants will choose to conduct an offline inspection and then make a rental decision. There is a difference between the viewing decision and the final rental decision. Only after the decision to conduct the viewing can the final rental transaction be reached. Therefore, the decision to inspect a house is only a preliminary decision to select housing, compared with the decision to see a house, which is a decision that is easier to make, if the basic conditions of the house and the supplementary information of the comment can meet the tenant’s demand for housing rental. Moreover, the main factors for tenants to make decisions about viewing are housing information and review supplements, which also leads to the fact that gender factors have no significant impact on tenants’ viewing decisions.
From the analysis of the effect of the house type factor on the tenants’ house information browsing and cognition process, the house type factor has no significant effect on the Fixation duration, the Fixation counts, the First fixation counts, the First fixation duration, and the Regression duration. The house type has no significant effect on the tenants’ information browsing and processing mode, and Hypothesis 5 is not valid. From the perspective of the influence of house type factor on tenants’ viewing decision-making behaviours, there is a significant difference in the decision-making rate of house viewing between ordinary houses and apartment groups. Through the mean comparison analysis, it is found that the viewing rate of ordinary houses is much higher than that of apartments. The type of house has a significant impact on whether the tenants decide to see the house, so Hypothesis 6 holds. Before the computer experiment, the subjects all stated that they are clear about the difference between ordinary houses and apartments. Their main differences are reflected in house water and electricity fees and property fees. Generally, apartments need to pay more. Therefore, potential tenants will consider the house type when deciding to inspect the house or not, and will choose ordinary houses with lower extra costs for leasing when the rent price is similar. In addition, the interaction between gender and house type in the form of subjective and objective comments are not significant and have no significant effect on the tenants’ house information browsing and cognition process.
However, there are limitations to the study. Although the number of participants met the basic experimental criteria, the sample size could be expanded in the future to further improve the universality and stability of the research conclusions. In addition, future research could be more systematic. The study selected three important factors influencing tenant behaviour based on previous studies, but this is not all, and future studies can consider gradually adding other influencing factors so that consumer behaviour can be more comprehensively perceived.
Fig. 1
Fig. 2
Fig. 3
Mann–Whitney U test
| Gender | 0.383 | 0.108 |
| Brand | 0.663 | 0.426 |
Non-parametric test
| Wilcoxon rank sum test | 0.220 | 0.276 |
| Sign Test | 0.281 | 0.246 |
Variance analysis of objective comment AOI
| Gender | 4.862 | 0.030 | 3.002 | 0.086 | 3.978 | 0.049 |
| House type | 1.821 | 0.180 | 1.046 | 0.309 | 1.946 | 0.166 |
| Gender × house type | 3.388 | 0.069 | 2.076 | 0.153 | 2.809 | 0.097 |
Single sample K–S test
| Subjective comments | 0.200 | 0.200 | 0.000 | 0.000 | 0.200 |
| Objective comments | 0.200 | 0.100 | 0.000 | 0.000 | 0.086 |
Variance analysis of subjective comment AOI
| Gender | 5.925 | 0.017 | 2.764 | 0.099 | 5.622 | 0.020 |
| House type | 0.018 | 0.893 | 0.003 | 0.954 | 0.168 | 0.682 |
| Gender × house type | 3.229 | 0.075 | 2.479 | 0.119 | 2.087 | 0.152 |
Paired sample t-test
| Subjective and objective comments | 9.239 | 0.000 | 10.400 | 0.000 | 9.576 | 0.000 |
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under Rhino/GH platform Quantitative Analysis of the Influence of Coal Mining on the Underflow Zone of Rivers by Using Double Integro-differential Equations The construction of environmental cost accounting system - based on ecological perspective Optimisation analysis of distribution network planning based on the IVIF-AHP method Exploration of “English Plus” teaching mode under the background of blockchain construction A long command subsequence algorithm for manufacturing industry recommendation systems with similarity connection technology Analysis of tea culture communication path based on the principal component analysis method Research on the strategy of using graphic creativity in visual communication design in the context of Internet+ Supply chain network model of cost accounting based on improved particle swarm optimisation algorithm Construction of a multimodal poetry translation corpus based on AdaBoost model Civil and commercial law improves the construction of social credit system in the context of “Internet +” Research on personalised recommendation algorithm for college students’ employment Combined application of ideological and political education and big data Internet technology in the context of education reform Application of Higher-Order Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Evaluation of spoken English self-study system considering speech knowledge recognition algorithm Design of a decentralized Internet-based control system for industrial robot robotic arms Promotion of VR technology in taijiquan multimedia technology in the context of artificial intelligence Design of a mechanical automatic transmission system for automobiles based on torsional vibration damping Application research on piano teaching in colleges and universities based on remote wireless network communication Construction of a mathematical modeling teaching quality assessment system for universities based on Eviews model Construction of Financial Risk Evaluation Index System for Biomass Graphene Fibre Industrialisation Project Innovative model of teaching in law experiment center based on LETS software Correlation analysis between talent training quality and regional economic development based on multivariate statistical analysis model A Study on the Implications of Critical Discourse Analysis Theory for College English Teaching in the Context of Big Data Computational research on flat image design and style based on perceptual feature quantification The artistic aesthetic and cultural value orientation of 3D printing A multidimensional interpretation of Marxist theory based on a decentralized Internet perspective Student management model of college student associations based on ant colony Algorithm Analysis of the evolution of China’s energy legal system under the background of discrete model theory and dual carbon Design of Morlet wavelet neural network to solve the non-linear influenza disease system An online statistical analysis of the hotel management and operation performance model Research on the relationship between the construction of school teachers’ team literacy and the educational environment Exploration of the impact of rural road maintenance and management on rural economy based on VAR model Research on the post-purchase behaviour tendency of the product quality to customers in fast-selling marketing Engineering archive management model based on big data analysis and deep learning model Motion about equilibrium points in the Jupiter-Europa system with oblateness Design of an embedded machine vision system for smart cameras Ultra-short-term power forecast of photovoltaic power station based on VMD–LSTM model optimised by SSA The development model of marine science and technology innovation under the background of regional integration in the Yangtze River Delta in the new era Optimal preview repetitive control for impulse-free continuous-time descriptor systems Design of information management system based on wireless communication under the background of Internet of Things Application of digital design technology in the design of intelligent agricultural machinery and equipment The impact of global warming on the small Scottish Fishing Company Research on heat transfer properties of graphene composites Financial risk assessment management of cloud accounting SOEs based on spillover index Development of main functional modules for MVB and its application in rail transit Analysis of agricultural economic development and optimisation measures under the strategy of rural revitalisation An empirical study on the economic linkage characteristics of Yangtze River port cities based on discrete second-order derivatives Study on the impact of forest fire prevention policy on the health of forest resources Analysis of the development direction of the history of American war photography in the context of big data Tourism architecture design strategy in tourism area planning based on G-DINA model Practice and research on non-foreign heritage culture inheritance education in universities based on information fusion technology Research on the innovation of teaching model of college board tennis based on GDINA model Value Creation of Real Estate Company Spin-off Property Service Company Listing Selection by differential mortality rates Research on the relationship between government subsidies, R&D investment and high-quality development of manufacturing industry Research on the protection and inheritance of intangible cultural heritage under the background of rural revitalisation Research on behavioural differences in the processing of tenant listing information: An eye-movement experiment Computer vision recognition and tracking algorithm based on convolutional neural network Innovative reform strategy of artistic practice of university folk dance education based on information fusion technology A review of the treatment techniques of VOC Study on structural parameter design and life analysis of large four-point contact ball bearing channel Some classes of complete permutation polynomials in the form of ( x p m −x +δ )s +ax p m +bx overF p 2m Digital marketing solutions based on consumer data and homomorphic encryption The consistency method of linguistic information and other four preference information in group decision-making Research on the driving principle and guiding strategy of the public's collaborative supervision of the sharing economy in my country Influence of innovative human capital on economic development of China through the STI model New ideas of precision teaching development based on the background of big data Research on the willingness of Forest Land’s Management Rights transfer under the Beijing Forestry Development Application research of bel canto performance based on artificial intelligence technology Research on the path of integrating blockchain technology into the teaching of film and television courses in higher education institutions Combined application of employment education and big data internet technology based on the context of vocational education reform Fractal structure of magnetic island in tokamak plasma College students' innovation and entrepreneurship model based on probability theory statistics Exploring the path of network security and student privacy protection in smart campus based on Markov model Innovation and entrepreneurship model of higher vocational college students based on probability theory statistics Application of knowledge graph in smart grid fault diagnosis Research on the innovation of youth network media literacy education in the context of Internet + education A fuzzy mathematical model-based approach to customer-side energy management for power companies Research on the optimisation of logistics parcel intelligent sorting and conveying chain combined with variable clustering mathematical method Research on power quality assessment based on ubiquitous power IoT 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 Analysis of network information security issues under the background of big data Strategies for Marine remote sensing target detection based on deep learning model and internal wave simulation imaging technology Research on SOC estimation of residual power of lithium-ion batteries for electric vehicles based on extended Kalman filtering algorithm Variation mechanisms of metadiscourse verb patterns in English journal articles from intra- and interdisciplinary perspectives Harmonic current variation characteristics of shunt capacitors based on full-phase FFT algorithm Color and composition under big data technology: the art of visual communication in film art Urban Public Epidemic Prevention and Control Model Based on Nonlinear Differential Equations Research on computer vision technology based on BP-LSTM hybrid network Research progress of computer vision tasks based on deep learning and SAE network Application of Discriminative Training Algorithm Based on Intelligent Computing in English Translation Evaluation Research on the application of GLE teaching mode in English-medium colleges The application of directional derivative in the design of animation characters and background elements Research on product process design and optimisation model based on IoT intelligent computing Simulation research on music feature recognition based on mobile big data and smart sensors Digital design and experimental testing of a compressor's suction muffler transmission loss LTE wireless network coverage optimisation based on corrected propagation model SCP model based on the new energy vehicle collaborative detection configuration method research Study on tourism development income index calculation of finite element ordinary differential mathematical equation The cardiovascular promotion of college taekwondo based on fractional differential equation Analysis and research on the economic benefits of employee labor in enterprises in the context of the Internet Application of renewable energy decorative materials in modern architectural design under low-carbon concept The boundedness of functional differential equations of hospital financial software under information Deep learning model-based brand design 3D image construction The character image setting of 3D animation works based on Poisson equation Research on the interaction between university physical culture education and college students’ physical exercise in the context 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 Impact of ASEAN-China free trade area on fishery value chain based on difference-in-difference method Research on indoor environment design of comprehensive commercial shopping center based on numerical simulation Empirical analysis of the economic absolute income hypothesis based on mathematical statistics Realization of Book Collaborative Filtering Personalized Recommendation System Based on Linear Regression Equation Study on Interactive Relations between Enterprise Social Media and Decision Style Based on a vector Autoregressive Model Research on Dynamics of Flexible Multibody System with Deployable Antenna Based on Static Lagrangian Function The Optimization of Mathematics Teaching Models in Colleges and Universities Based on Nonlinear Differential Equations Study on spatial planning and design of learning commons in university libraries based on fuzzy matrix model The Stability Model of Piano Tone Tuning Based on Ordinary Differential Equations Construction and application of automobile user portrait based on k-mean clustering model The Homework Model of Screening English Teaching Courses Based on Fractional Differential Equations MATLAB-based simulation of industrial robots in water environment monitoring An innovative teaching model of automotive manufacturing process based on ADDIE model The train of thought and design of university talents training based on ADDIE model from the perspective of ideological and political education Research on the innovation of model based on the cultivation of talents in higher vocational art and design Calculus Logic Function in Integrated Manufacturing Automation of Single Chip Microcomputer Football Offense Training Strategy Based on Fractional Differential Mathematical Modeling The Mathematical Analysis Model of Educational System in Music Courses in Colleges and Universities Continuing Education Network Data Center Model Based on Fractional Differential Mathematical Equations Study on the factors influencing the evolution mechanism of cobalt trade network from the perspective of national competition Computer Art Design Model Based on Nonlinear Fractional Differential Equations The Optimization Model of Public Space Design Teaching Reform Based on Fractional Differential Equations The Approximate Solution of Nonlinear Vibration of Tennis Based on Nonlinear Vibration Differential Equation Graphical Modular Power Technology of Distribution Network Based on Machine Learning Statistical Mathematical Equation Reliability analysis of reinforced concrete beams based on the stochastic model of resistance calculation Employment and Professional Education Training System of College Graduates Based on the Law of Large Numbers Economic Research on Multiple Linear Regression in Fruit Market inspection and Management Nonlinear Differential Equations in Preventing Financial Risks Lagrange’s Mathematical Equations in the Sports Training of College Students Simulation Research of Electrostatic Precipitator Power Supply Voltage Control System Based on Finite Element Differential Equation Research on the effect of generative adversarial network based on wavelet transform hidden Markov model on face creation and classification Research on Lightweight Injection Molding (CAE) and Numerical Simulation Calculate of New Energy Vehicle Power Flow Calculation in Smart Distribution Network Based on Power Machine Learning Based on Fractional Differential Equations Demonstration of application program of logistics public information management platform based on fuzzy constrained programming mathematical model Basketball Shooting Rate Based on Multiple Regression Logical-Mathematical Algorithm The Optimal Application of Lagrangian Mathematical Equations in Computer Data Analysis Similarity Solutions of the Surface Waves Equation in (2+1) Dimensions and Bifurcation Optimal decisions and channel coordination of a green supply chain with marketing effort and fairness concerns Game theoretic model for low carbon supply chain under carbon emissions reduction sensitive random demand The Relationship Between College Students’ Taekwondo Courses and College Health Based on Mathematical Statistics Equations Fractional Differential Equations in the Exploration of Geological and Mineral Construction AdaBoost Algorithm in Trustworthy Network for Anomaly Intrusion Detection Enterprise Financial Risk Early Warning System Based on Structural Equation Model A Study on the Application of Quantile Regression Equation in Forecasting Financial Value at Risk in Financial Markets Fractional Differential Equations in the Model of Vocational Education and Teaching Practice Environment Information transmission simulation of Internet of things communication nodes under collision free probability equation Image denoising model based on improved fractional calculus mathematical equation Random Fourier Approximation of the Kernel Function in Programmable Networks The Complexity of Virtual Reality Technology in the Simulation and Modeling of Civil Mathematical Models University Library Lending System Model Based on Fractional Differential Equations Calculation and Performance Evaluation of Text Similarity Based on Strong Classification Features Intelligent Matching System of Clauses in International Investment Arbitration Cases Based on Big Data Statistical Model Evaluation and Verification of Patent Value Based on Combination Forecasting Model Financial Institution Prevention Financial Risk Monitoring System Under the Fusion of Partial Differential Equations Prediction and Analysis of ChiNext Stock Price Based on Linear and Non-linear Composite Model Calculus Logic Function in Tax Risk Avoidance in Different Stages of Enterprises The Psychological Memory Forgetting Model Based on the Analysis of Linear Differential Equations Optimization Simulation System of University Science Education Based on Finite Differential Equations The Law of Large Numbers in Children's Education Optimization System of Strength and Flexibility Training in Aerobics Course Based on Lagrangian Mathematical Equation Data structure simulation for the reform of the teaching process of university computer courses A multi-factor Regression Equation-based Test of Fitness Maximal Aerobic Capacity in Athletes Garment Image Retrieval based on Grab Cut Auto Segmentation and Dominate Color Method Financial Risk Prediction and Analysis Based on Nonlinear Differential Equations Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching Multiple Effects Analysis of Hangzhou Issuing Digital Consumer Coupons Based on Simultaneous Equations of CDM Model Response Model of Teachers’ Psychological Education in Colleges and Universities Based on Nonlinear Finite Element Equations A Hybrid Computational Intelligence Method of Newton's Method and Genetic Algorithm for Solving Compatible Nonlinear Equations Pressure Image Recognition of Lying Positions Based on Multi-feature value Regularized Extreme Learning Algorithm English Intelligent Question Answering System Based on elliptic fitting equation Precision Machining Technology of Jewelry on CNC Machine Tool Based on Mathematical Modeling Application Research of Mathematica Software in Calculus Teaching Computer Vision Communication Technology in Mathematical Modeling Skills of Music Creation Based on Homogeneous First-Order Linear Partial Differential Equations Mathematical Statistics Technology in the Educational Grading System of Preschool Students Music Recommendation Index Evaluation Based on Logistic Distribution Fitting Transition Probability Function Children's Educational Curriculum Evaluation Management System in Mathematical Equation Model Query Translation Optimization and Mathematical Modeling for English-Chinese Cross-Language Information Retrieval The Effect of Children’s Innovative Education Courses Based on Fractional Differential Equations Fractional Differential Equations in the Standard Construction Model of the Educational Application of the Internet of Things Optimization research on prefabricated concrete frame buildings based on the dynamic equation of eccentric structure and horizontal-torsional coupling Optimization in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics Green building considering image processing technology combined with CFD numerical simulation Construction of an enterprise financial risk management system based on F-score model Research on personalized Japanese language teaching model based on big data technology Research on education management system based on machine learning and multidimensional data modeling A multidimensional interpretation of Marxist globalization theory based on decentralized internet Analysis of the improvement path of English listening and speaking ability based on big data technology Multi-featured multi-scale combination of high-resolution remote sensing images for building extraction Study on the absorption technology of distribution network with high-proportion distributed power supply Abnormal Behavior of Fractional Differential Equations in Processing Computer Big Data Electronic properties of diamond semiconductor materials: based on response surface model Application of BOPPPS teaching model in online and offline blended teaching of college Public Basic Mathematics Mathematical Modeling Thoughts and Methods Based on Fractional Differential Equations in Teaching Deep learning techniques in modern women’s smart clothing design Grouting reinforcement strategy for tunnel sand layer based on BP neural network Nonlinear Differential Equations in Computer-Aided Modeling of Big Data Technology A study on the aesthetic characteristics of ethnic music based on radial basis neural network model Research on university laboratory network security based on Cloud Computing The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping Analysis of the application methods of film and television media and images in the era of big data cloud Títul Mobile visual media design based on digital media technology and augmented reality Air data computer simulation and design credibility assessment considering ADC calculation model Spatial planning layout design of national land in the context of rural revitalization based on MOLA model Analysis of news communication strategies in the era of full media based on big data mining On the improvement, innovation and inheritance of stage makeup styling in opera under the background of big data Influence of 3D characters image transfer on animation drawing based on detail feature preservation Recognition of Electrical Control System of Flexible Manipulator Based on Transfer Function Estimation Method Evaluation Mechanism of Teaching Staff’s Building in Local Vocational Colleges Based on Big Data Technology Títul Sports consumption behavior and consumption demand of urban residents in the context of “Internet+” Automatic Knowledge Integration Method of English Translation Corpus Based on Kmeans Algorithm Real Estate Economic Development Based on Logarithmic Growth Function Model Design of Tennis Mobile Teaching Assistant System Based on Ordinary Differential Equations Financial Crisis Early Warning Model of Listed Companies Based on Fisher Linear Discriminant Analysis High Simulation Reconstruction of Crowd Animation Based on Optical Flow Constraint Equation Construction of Intelligent Search Engine for Big Data Multimedia Resource Subjects Based on Partial Least Squares Structural Equation 3D Animation Simulation of Computer Fractal and Fractal Technology Combined with Diamond-Square Algorithm Analysis of the Teaching Quality of Physical Education Class by Using the Method of Gradient Difference The Summation of Series Based on the Laplace Transformation Method in Mathematics Teaching Optimal Solution of the Fractional Differential Equation to Solve the Bending Performance Test of Corroded Reinforced Concrete Beams under Prestressed Fatigue Load Animation VR scene mosaic modeling based on generalized Laplacian equation Radial Basis Function Neural Network in Vibration Control of Civil Engineering Structure Optimal Model Combination of Cross-border E-commerce Platform Operation Based on Fractional Differential Equations The influence of accounting computer information processing technology on enterprise internal control under panel data simultaneous equation Research on Stability of Time-delay Force Feedback Teleoperation System Based on Scattering Matrix BIM Building HVAC Energy Saving Technology Based on Fractional Differential Equation Construction of comprehensive evaluation index system of water-saving irrigation project integrating penman Montei the quation Human Resource Management Model of Large Companies Based on Mathematical Statistics Equations Data Forecasting of Air-Conditioning Load in Large Shopping Malls Based on Multiple Nonlinear Regression Analysis of technical statistical indexes of college tennis players under the win-lose regression function equation Automatic extraction and discrimination of vocal main melody based on quadratic wave equation Analysis of wireless English multimedia communication based on spatial state model equation Optimization of Linear Algebra Core Function Framework on Multicore Processors Research on detection of parking space based on the combination of magnetoresistance and microwave radar sensor under IoT platform Research on sustainable development mechanism of regional ‘Artisan Workshop’ under big data environment 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 innovation theory of college students’ ideological and political education under the background of big data Research on the close-range photogrammetry accuracy of 3D digital interactive platform of Hunan intangible cultural heritage Research on classification of e-commerce customers based on BP neural network Research on the problems and reform strategies of government statistics based on big data technology 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 The Control Relationship Between the Enterprise's Electrical Equipment and Mechanical Equipment Based on Graph Theory Adaptive fusion of multi-exposure images based on perceptron model Study on the application of multi-angle imaging related technology in the construction process Mathematical Modeling and Forecasting of Economic Variables Based on Linear Regression Statistics Exploring the Path of Integrating Excellent Traditional Culture into Civic Education in Universities in the Internet+ Era Economic statistical strategies for the transportation industry based on time-varying parametric state space models Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate Design and research of environmentally friendly field sewage purification mechanical device Public Management Model Based on Mathematical Equation of Statistics of Probability Theory 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System An analysis of time commitment for college students to online English writing and peer assessment learning Optimization path of corporate ESG performance and compensation performance management under carbon neutral target Research on network security management monitoring platform based on Internet of things technology New anergy tide control strategy based on Eviews econometric model Study of frictional wear properties of materials for mechanical seals Optimization of vocal singing training method based on intelligent big data technology Fractional Differential Equations in Electronic Information Models Exploring the construction of an all-round cost management system for investment control in university engineering construction The construction of blockchain platform for engineering museums based on vectorized image processing technology BIM Engineering Management Oriented to Curve Equation Model Relationship Between Physical Activity Sedentary Behavior and Body Mass Index in Children and Adolescents Based on FIT Modelo Green supply chain innovation management strategy based on the combination of low carbon economy and e-commerce with big data technology Leakage control of urban water supply network and mathematical analysis and location of leakage points based on machine learning Analysis of higher education management strategy based on entropy and dissipative structure theory Grid data asset relationship and intelligent classification integrating knowledge graph and Internet of Things Prediction of corporate financial distress based on digital signal processing and multiple regression analysis Mathematical Method to Construct the Linear Programming of Football Training Multimedia sensor image detection based on constrained underdetermined equation The Size of Children's Strollers of Different Ages Based on Ergonomic Mathematics Design Application of Numerical Computation of Partial Differential Equations in Interactive Design of Virtual Reality Media Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Knowledge Analysis of Charged Particle Motion in Uniform Electromagnetic Field Based on Maxwell Equation Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Term structure of economic management rate based on parameter analysis of estimation model of ordinary differential equation Influence analysis of piano music immersion virtual reality cooperation based on mapping equation Chinese painting and calligraphy image recognition technology based on pseudo linear directional diffusion equation Label big data compression in Internet of things based on piecewise linear regression Animation character recognition and character intelligence analysis based on semantic ontology and Poisson equation 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 Study on the influence of adolescent smoking on physical training vital capacity in eastern coastal areas Application of machine learning in stock selection Comparative analysis of CR of ideological and political education in different regions based on improved fuzzy clustering The Construction of Judgment Model for Cultivating Intelligent Accounting Professionals in Universities Based on Logarithmic Periodic Power Law Model Action of Aut( G ) on the set of maximal subgroups ofp -groupsDigital Regeneration and Database Construction of Hunan Embroidery Needlework under the Perspective of Artificial Intelligence Research on the practice of innovation and entrepreneurship education in universities under the environment of big data Application of digital technology in environmental art design Research on loyalty prediction of e-commerce customer based on data mining Research on the evaluation system of tourism management classroom teaching based on multimedia big data analysis The application of ARCS motivation model in college oral English teaching Research on Innovation of Translation Teaching and Translation Strategies for College Students in Multimedia Background A multi-channel convolutional neural network based on attention mechanism fusion for facial expression recognition Exploring the development of cultural and creative tourism under the perspective of ecological theory of tourism destination management Modeling Analysis of User Consumption Data of Internet Culture Industry in the Context of Emerging Technologies Reference: An algorithm for recognizing the main melody of orchestral music based on artificial intelligence of music melody contour Algebraic Equations in Educational Model of College Physical Education Course Education Professional English Translation Corpus Under the Binomial Theorem Coefficient Geometric Tolerance Control Method for Precision Machinery Based on Image Modeling and Novel Saturation Function Retrieval and Characteristic Analysis of Multimedia Tester Based on Bragg Equation Semiparametric Spatial Econometric Analysis of Household Consumption Based on Ordinary Linear Regression Model Video adaptive watermark embedding and detection algorithm based on phase function equation English Learning Motivation of College Students Based on probability Distribution Scientific Model of Vocational Education Teaching Method in Differential Nonlinearity Research on mobile Awareness service and data privacy Protection based on Linear Equations computing protocol Vocal Music Teaching Model Based on Finite Element Differential Mathematical Equations Studying a matching method combining distance proximity and buffer constraints The trend and influence of media information Propagation based on nonlinear Differential equation Research on the construction of early warning model of customer churn on e-commerce platform Evaluation and prediction of regional human capital based on optimised BP neural network Study on inefficient land use determination method for cities and towns from a city examination perspective A study of local smoothness-informed convolutional neural network models for image inpainting The construction of a practical platform for party building and ideological and political education based on information fusion A study on the influence of the spread of Yangming Studies in Japan on the psychology of the Japanese people based on big data analysis Research on personalized recommendation algorithm for micromechanical sensors based on cloud model Research on the value of modern vernacular literature in contemporary rural construction based on ADDIE model Robust speech recognition based on deep learning for sports game review IoT-based interaction design of smart home products for elderly families Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Model Construction of Influencing Factors of Physical Education Core Quality Cultivation Based on Multiple Linear Regression A multidimensional interpretation analysis of Marxism globalization theory based on distributed Internet Application of Nonlinear Differential Equation in Electric Automation Control System Research on the operation and management mechanism of cross-border e-commerce shared practice training base Strategy for financing mode optimization in international trade supply chain based on deep learning model Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Strategies for improving Chinese language proficiency based on artificial intelligence technology Early warning and detection of geological disasters based on intelligent genetic algorithm The success rate model of college students’ new entrepreneurship based on nonlinear differential equations Computational Algorithm to Solve Two–Body Problem Using Power Series in Geocentric System Research on the application of marketing strategy of national fitness exercise and dance events in the construction of sports culture based on big data technology 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 Strategies for constructing mathematical models of nonlinear systems based on multiple linear regression models Research on China’s tourism marketing model in the data perspective: based on ecological perspective Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations Research on human resource management performance evaluation based on BP algorithm The Marketing of Cross-border E-commerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory Application of Linear Partial Differential Equation Theory in Guiding Football Scientific Training Nonlinear Channel Estimation for Internet of Vehicles Some Necessary Conditions for Feedback Functions of de Bruijn Sequences The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function System Model of Shipping Enterprise Safety Culture Based on Dynamic Calculation Matrix Model An empirical research on economic growth from industrial structure optimisation in the Three Gorges Reservoir area The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Analysis and Research on Influencing Factors of Ideological and Political Education Teaching Effectiveness Based on Linear Equation Study of agricultural finance policy information extraction based on ELECTRA-BiLSTM-CRF Fractional Differential Equations in Sports Training in Universities Examination and Countermeasures of Network Education in Colleges and Universities Based on Ordinary Differential Equation Model Innovative research of vertical video creation under the background of mobile communication Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Chinese-English Contrastive Translation System Based on Lagrangian Search Mathematical Algorithm Model Genetic algorithm-based congestion control optimisation for mobile data network 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 Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix Badminton players’ trajectory under numerical calculation method Innovations to Attribute Reduction of Covering Decision System Based on Conditional Information Entropy Sensitivity Analysis of the Waterproof Performance of Elastic Rubber Gasket in Shield Tunnel Innovation of Economic Management Risk Control in Retailer Supply Chain Based on Differential Equation Model Statistical Model of College Ideological and Political Learning Based on Fractional Differential Equations Nonlinear Differential Equation in Anti-aging Test of Polymer Nanomaterials Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis The Mental Health Education Management of Higher Vocational Students Based on Fractional Differential Equations Application of regression function model based on panel data in financial risk management of bank resource allocation University Ideological and Political Learning Model Based on Statistical Memory Curve Mathematical Equation Research on Resonance Properties of Semantic Wave Fractal Fractals Based on Quantitative Analysis of English Corpus Research on urban landscape big data information processing system based on ordinary differential equations Modeling of fractional differential equation in cloud computing image fusion algorithm Conventional Algorithms in Sports Training Based on Fractional Differential Equations Dynamic Nonlinear System Based on Complex System Theory in the Development of Vocational Education The Algorithm Accuracy of Mathematical Model to Improve the Transmission Speed of E-commerce Platform The Security of Database Network Model Based on Fractional Differential Equations Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations The Practice System of Physics and Electronics Courses in Higher Vocational Colleges Based on Fractional Differential Equations The Economic Model of Rural Supply and Demand Under the Data Analysis Function Based on Ordered Probit 3D Modeling System of Indoor Environment Art Landscape Design under Statistical Equation Electronic Information Security Model of Nonlinear Differential Equations The Optimization Model of College Students' Physical Exercise Motivation and Self-control Ability Based on the Mathematical Model of Probability Theory Health monitoring of Bridges based on multifractal theory Health status diagnosis of the bridges based on multi-fractal de-trend fluctuation analysis Application and risk assessment of the energy performance contracting model in energy conservation of public buildings Sensitivity analysis of design parameters of envelope enclosure performance in the dry-hot and dry-cold areas Criminal law imputation path for biometric information 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 Research on the intelligent path of college students’ network ideological and political education based on big data mining technology Research on the application of PLC technology in electrical automation engineering Application of matrix multiplication in signal sensor image perception Analysing the variation of metadiscourse verb patterns in English academic papers from within and between disciplines Impact of COVID-19 policy on stock prices of listed property companies Research on the experimental principle of deep integration of LETS software and criminal procedure under the background of artificial intelligence 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 Knowledge graph construction and Internet of Things optimisation for power grid data knowledge extraction Modeling the pathway of breast cancer in the Middle East Construction and intelligent analysis of power grid physical data knowledge graph based on Internet of Things for power system Research on industrial Internet of Things and power grid technology application based on knowledge graph and data asset relationship model Research on the effects of financial literacy on rural household credit constraint Research on educational resource recommendation system based on MRLG Rec Visual analysis of the trend of mental health changes among Chinese college students in the context of the normalisation of the new crown epidemic A study on the phenomenon of anaphoric correction in college students’ English conversation Limit cycles of a generalised Mathieu differential system Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Application of data mining in basketball statistics The nonlinear effects of ageing on national savings rate – An Empirical Study based on threshold model Design of fitness walker for the elderly based on ergonomic SAPAD model Research on the innovation of collaborative education model of scientific research and teaching in colleges and universities based on the theory of process reengineering AtanK-A New SVM Kernel for Classification The innovative path of diversified vocal music education reform in colleges and universities under the advanced educational concepts of China and the West Mechanical behaviour of continuous girder bridge with corrugated steel webs constructed by RW Rhino application in ceramic packaging design teaching Study of a linear-physical-programming-based approach for web service selection under uncertain service quality Analysis and countermeasures of cultivating independent learning ability in colleges teaching English based on OBE theory Virtual Museum Scene Design Based on VRAR Realistic Interaction under PMC Artificial Intelligence Model A mathematical model of plasmid-carried antibiotic resistance transmission in two types of cells Projection of Early Warning Identification of Hazardous Sources of Gas Explosion Accidents in Coal Mines Based on NTM Deep Learning Network Research on innovative cultivation mode of English and American literature translation talents based on internet environment Burnout of front-line city administrative law-enforcing personnel in new urban development areas: An empirical research in China Analysis of quantitative management of online intelligent monitoring of tailing ponds based on the perspective of safety prevention and control Analysis of rural tourism culture advertising content based on LSTM-CNN model Optimization of college physical education curriculum based on G-DINA Optimization of local ethnic music teaching transmission path based on logistic regression 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 Exploration on the path of ideological and political education and cultural education in colleges and universities from the perspective of red culture RETRACTION NOTE Research on the mining of ideological and political knowledge elements in college courses based on the combination of LDA model and Apriori algorithm Research on non-linear visual matching model under inherent constraints of images Good congruences on weakly U-abundant semigroups Can policy coordination facilitate unimpeded trade? An empirical study on factors influencing smooth trade along the Belt and Road Research on the processing method of multi-source heterogeneous data in the intelligent agriculture cloud platform Internal control index and enterprise growth: An empirical study of Chinese listed-companies in the automobile manufacturing industry Research on design of customer portrait system for E-commerce Research on rule extraction method based on concept lattice of intuitionistic fuzzy language Fed-UserPro: A user profile construction method based on federated learning Design and evaluation of intelligent teaching system on basic movements in PE Research on identifying psychological health problems of college students by logistic regression model based on data mining Research on evaluation system of cross-border E-commerce platform based on the combined model A mathematical model of PCNN for image fusion with non-sampled contourlet transform Financial customer classification by combined model Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing 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 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