This study uses eye-movement technology to validate the need for online comments to be introduced into the internet rental model and to investigate the factors influencing tenants’ behaviours in the processing of information and decision-making. It has been found that the online review system could significantly increase the rate of house-viewing decisions. Tenants’ decisions were more affected by subjective comments, which were mainly affected by regression behaviours. Gender factors have an impact on information processing, but not on decision-making. The housing type factor does not affect information processing but has a significant effect on decision-making behaviour.
Keywords
- internet rental
- online comments
- cognition
- decision
- eye-tracking
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 |
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 Industrial transfer and regional economy coordination based on multiple regression model Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix Spatial–temporal graph neural network based on node attention A contrastive study on the production of double vowels in Mandarin Research of cascade averaging control in hydraulic equilibrium regulation of heating pipe network Mathematical analysis of civil litigation and empirical research of corporate governance Health monitoring of Bridges based on multifractal theory Health status diagnosis of the bridges based on multi-fractal de-trend fluctuation analysis Performance evaluation of college laboratories based on fusion of decision tree and BP neural network 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 The Spatial Form of Digital Nonlinear Landscape Architecture Design Based on Computer Big Data Analysis of the relationship between industrial agglomeration and regional economic growth based on the multi-objective optimisation model Constraint effect of enterprise productivity based on constrained form variational computing The impact of urban expansion in Beijing and Metropolitan Area urban heat Island from 1999 to 2019 TOPSIS missile target selection method supported by the posterior probability of target recognition Ultrasonic wave promoting ice melt in ice storage tank based on polynomial fitting calculation model The incentive contract of subject librarians in university library under the non-linear task importance Application of Fuzzy Mathematics Calculation in Quantitative Evaluation of Students’ Performance of Basketball Jump Shot Visual error correction of continuous aerobics action images based on graph difference function Application of Higher Order Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Application of Forced Modulation Function Mathematical Model in the Characteristic Research of Reflective Intensity Fibre Sensors Radioactive source search problem and optimisation model based on meta-heuristic algorithm Research on a method of completeness index based on complex model Fake online review recognition algorithm and optimisation research based on deep learning Research on the sustainable development and renewal of Macao inner harbour under the background of digitisation Support design of main retracement passage in fully mechanised coal mining face based on numerical simulation Study on the crushing mechanism and parameters of the two-flow crusher Interaction design of financial insurance products under the Era of AIoT Modeling the pathway of breast cancer in the Middle East Corporate social responsibility fulfilment, product-market competition and debt risk: Evidence from China ARMA analysis of the green innovation technology of core enterprises under the ecosystem – Time series data Reconstruction of multimodal aesthetic critical discourse analysis framework Image design and interaction technology based on Fourier inverse transform What does students’ experience of e-portfolios suggest Research on China interregional industrial transformation slowdown and influencing factors of industrial transformation based on numerical simulation The medical health venture capital network community structure, information dissemination and the cognitive proximity Data mining of Chain convenience stores location The optimal model of employment and entrepreneurship models in colleges and universities based on probability theory and statistics A generative design method of building layout generated by path Parameter Id of Metal Hi-pressure State Equation Analysis of the causes of the influence of the industrial economy on the social economy based on multiple linear regression equation Research of neural network for weld penetration control Intelligent Recommendation System for English Vocabulary Learning – Based on Crowdsensing Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations Research on predictive control of students’ performance in PE classes based on the mathematical model of multiple linear regression equation Beam control method for multi-array antennas based on improved genetic algorithm The influence of X fuzzy mathematical method on basketball tactics scoring Application of regression function model based on panel data in bank resource allocation financial risk management Research on aerobics training posture motion capture based on mathematical similarity matching statistical analysis Application of Sobolev-Volterra projection and finite element numerical analysis of integral differential equations in modern art design Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Research on motion capture of dance training pose based on statistical analysis of mathematical similarity matching Application of data mining in basketball statistics Application of B-theory for numerical method of functional differential equations in the analysis of fair value in financial accounting Badminton players’ trajectory under numerical calculation method Research on the influence of fuzzy mathematics simulation model in the development of Wushu market Study on audio-visual family restoration of children with mental disorders based on the mathematical model of fuzzy comprehensive evaluation of differential equation Difference-in-differences test for micro effect of technological finance cooperation pilot in China Application of multi-attribute decision-making methods based on normal random variables in supply chain risk management Exploration on the collaborative relationship between government, industry, and university from the perspective of collaborative innovation The impact of financial repression on manufacturing upgrade based on fractional Fourier transform and probability AtanK-A New SVM Kernel for Classification Validity and reliability analysis of the Chinese version of planned happenstance career inventory based on mathematical statistics Visual positioning system for marine industrial robot assembly based on complex variable function Mechanical behaviour of continuous girder bridge with corrugated steel webs constructed by RW Research on the influencing factors of agricultural product purchase willingness in social e-commerce situation Study of a linear-physical-programming-based approach for web service selection under uncertain service quality A mathematical model of plasmid-carried antibiotic resistance transmission in two types of cells Burnout of front-line city administrative law-enforcing personnel in new urban development areas: An empirical research in China Calculating university education model based on finite element fractional differential equations and macro-control analysis Educational research on mathematics differential equation to simulate the model of children's mental health prevention and control system Analysis of enterprise management technology and innovation based on multilinear regression model Verifying the validity of the whole person model of mental health education activities in colleges based on differential equation RETRACTION NOTE Innovations to Attribute Reduction of Covering Decision System Based on Conditional Information Entropy Research on the mining of ideological and political knowledge elements in college courses based on the combination of LDA model and Apriori algorithm Adoption of deep learning Markov model combined with copula function in portfolio risk measurement Good congruences on weakly U-abundant semigroups Research on the processing method of multi-source heterogeneous data in the intelligent agriculture cloud platform Mathematical simulation analysis of optimal detection of shot-putters’ best path Internal control index and enterprise growth: An empirical study of Chinese listed-companies in the automobile manufacturing industry Determination of the minimum distance between vibration source and fibre under existing optical vibration signals: a study Nonlinear differential equations based on the B-S-M model in the pricing of derivatives in financial markets Nonlinear Differential Equations in the Teaching Model of Educational Informatisation Fed-UserPro: A user profile construction method based on federated learning The evaluation of college students’ innovation and entrepreneurship ability based on nonlinear model Smart Communities to Reduce Earthquake Damage: A Case Study in Xinheyuan, China Response Model of Teachers’ Psychological Education in Colleges and Universities Based on Nonlinear Finite Element Equations Institutional investor company social responsibility report and company performance Mathematical analysis of China's birth rate and research on the urgency of deepening the reform of art education First-principles calculations of magnetic and mechanical properties of Fe-based nanocrystalline alloy Fe80Si10Nb6B2Cu2 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 in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics Has the belt and road initiative boosted the resident consumption in cities along the domestic route? – evidence from credit card consumption MCM of Student’s Physical Health Based on Mathematical Cone Attitude control for the rigid spacecraft with the improved extended state observer Sports health quantification method and system implementation based on multiple thermal physiology simulation Research on visual optimization design of machine–machine interface for mechanical industrial equipment based on nonlinear partial equations Research on identifying psychological health problems of college students by logistic regression model based on data mining Abnormal Behavior of Fractional Differential Equations in Processing Computer Big Data Mathematical Modeling Thoughts and Methods Based on Fractional Differential Equations in Teaching A mathematical model of PCNN for image fusion with non-sampled contourlet transform Nonlinear Differential Equations in Computer-Aided Modeling of Big Data Technology The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Cognitive Computational Model Using Machine Learning Algorithm in Artificial Intelligence Environment Application of Higher-Order Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Recognition of Electrical Control System of Flexible Manipulator Based on Transfer Function Estimation Method Automatic Knowledge Integration Method of English Translation Corpus Based on Kmeans Algorithm Real Estate Economic Development Based on Logarithmic Growth Function Model Informatisation of educational reform based on fractional differential equations Financial Crisis Early Warning Model of Listed Companies Based on Fisher Linear Discriminant Analysis Research on the control of quantitative economic management variables under the numerical method based on stochastic ordinary differential equations Network monitoring and processing accuracy of big data acquisition based on mathematical model of fractional differential equation 3D Animation Simulation of Computer Fractal and Fractal Technology Combined with Diamond-Square Algorithm 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 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 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 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 System dynamics model of output of ball mill Optimisation of Modelling of Finite Element Differential Equations with Modern Art Design Theory Mathematical function data model analysis and synthesis system based on short-term human movement Sensitivity Analysis of the Waterproof Performance of Elastic Rubber Gasket in Shield Tunnel Human gait modelling and tracking based on motion functionalisation Analysis and synthesis of function data of human movement The Control Relationship Between the Enterprise's Electrical Equipment and Mechanical Equipment Based on Graph Theory Financial Accounting Measurement Model Based on Numerical Analysis of Rigid Normal Differential Equation and Rigid Functional Equation Mathematical Modeling and Forecasting of Economic Variables Based on Linear Regression Statistics Design of Morlet wavelet neural network to solve the non-linear influenza disease system Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate Differential equation model of financial market stability based on Internet big data 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System Children’s cognitive function and mental health based on finite element nonlinear mathematical model Motion about equilibrium points in the Jupiter-Europa system with oblateness Fractional Differential Equations in Electronic Information Models Badminton players’ trajectory under numerical calculation method BIM Engineering Management Oriented to Curve Equation Model Optimal preview repetitive control for impulse-free continuous-time descriptor systems Development of main functional modules for MVB and its application in rail transit Study on the impact of forest fire prevention policy on the health of forest resources Mathematical Method to Construct the Linear Programming of Football Training The Size of Children's Strollers of Different Ages Based on Ergonomic Mathematics Design Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Value Creation of Real Estate Company Spin-off Property Service Company Listing Selection by differential mortality rates Digital model creation and image meticulous processing based on variational partial differential equation Dichotomy model based on the finite element differential equation in the educational informatisation teaching reform model Nonlinear Dissipative System Mathematical Equations in the Multi-regression Model of Information-based Teaching The modelling and implementation of the virtual 3D animation scene based on the geometric centre-of-mass algorithm The policy efficiency evaluation of the Beijing–Tianjin–Hebei regional government guidance fund based on the entropy method The transfer of stylised artistic images in eye movement experiments based on fuzzy differential equations Research on behavioural differences in the processing of tenant listing information: An eye-movement experiment A review of the treatment techniques of VOC Some classes of complete permutation polynomials in the form of ( x p m −x +δ )s +ax p m +bx overF p 2m The consistency method of linguistic information and other four preference information in group decision-making Research on the willingness of Forest Land’s Management Rights transfer under the Beijing Forestry Development A mathematical model of the fractional differential method for structural design dynamics simulation of lower limb force movement step structure based on Sanda movement Fractal structure of magnetic island in tokamak plasma Numerical calculation and study of differential equations of muscle movement velocity based on martial articulation body ligament tension Study on the maximum value of flight distance based on the fractional differential equation for calculating the best path of shot put Sports intensity and energy consumption based on fractional linear regression equation Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations Study on Establishment and Improvement Strategy of Aviation Equipment Research on Financial Risk Early Warning of Listed Companies Based on Stochastic Effect Mode Characteristics of Mathematical Statistics Model of Student Emotion in College Physical Education Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Application of Nonlinear Differential Equation in Electric Automation Control System Nonlinear strategic human resource management based on organisational mathematical model Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations The Marketing of Cross-border E-commerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Fractional Differential Equations in Sports Training in Universities Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model