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In order to study the waterproof performance of elastic rubber gasket in shield tunnel lining joints, an innovative sensitivity analysis method is proposed by combining the Monte Carlo method with the stochastic finite element method (FEM) in this paper. The sensitivity values of the waterproof performance respecting to elastic rubber gaskets are obtained via the ANSYS Probabilistic Design System (PDS) module, in which the parameters of material hardness, coordinates of the hole center, apertures are selected as random input variables. Meantime, the extent of the tolerance effect of the random parameters on the waterproof performance is explored.

The paper took 12 groups of parent companies and subsidiaries as the samples, in which the property service companies, spun from the real estate companies, have successfully on the capital market. The research showed that the average abnormal return (AAR) of real estate companies’ stocks was positive on the first announcement date of possible spin-off listing, while the cumulative average abnormal return (CAAR) remained positive for 21 days during the (–11, 9) days around the first announcement of possible spin-off and listing. Further, the changes in operating performance of real estate companies and property service companies were analysed after the successful spin-off for 3 consecutive years, compared with the year before the spin-off and listing. The results showed that after the spin-off and listing, real estate companies and property service companies have greatly improved their performance. Therefore, the fact that real estate companies spun off property service companies created positive values for shareholders.

In a bid to quantify the sensitivity of envelope enclosure’s design parameters in the dry-hot and dry-cold areas and to provide a reference for the local building performance design, this paper uses ANN modelling which combined with the improved Garson algorithm to calculate the connection weight sensitivity (CWS), the first-order sensitivity (RBD-S1 and DMIM-S1) and the global sensitivity (DMIM-delta) of the design parameters. These parameters were calculated by using different methods in SALib. Through the verification and analysis of the sensitive result, the applicability of the CWS and DMIM-delta was confirmed. Among the design parameters involved in this study, the sum of the sensitive values of S-D, S-N and S-A exceeds 60% in each performance label, and the sum of the sensitive values of WWR_S and WWR_N exceeds 20%. The performance design of envelope enclosure in this area requires applying reasonable shading components and appropriate optimisation of the North and South of WWR. After the sensitivity analysis process, the calculation efficiency of the model can be improved as far as possible without reducing the accuracy of the model in the later simplified calculation and multi-objective optimisation. The building performance simulation model has a high degree of non-linearity, and the interpretability of the model can be enhanced through the sensitivity analysis process. Although the internal calculation process is unknowable, the perception of the results caused by the input parameters is significantly enhanced.

The multifractal theory is applied in an analysis of bridge disturbance signals with the aim of investigating their nonlinear characteristics, and then the recognisable fault features are extracted from them. By calculating the box dimension and correlation dimension of the bridge disturbance signal, the dimensional characteristics of the disturbance data are analysed to distinguish the health-state of the bridge. Finally, taking the bridge disturbance data as an example, and by using the multifractal spectrum analysis of the disturbance data, it is concluded that the multifractal method can accurately identify the fault state and realise the bridge health monitoring.

More and more attention has been paid to the research on bridge structure health monitoring and state analysis technology, especially the theory and technology of time series analysis based on bridge deflection information. In this paper, multi-fractal de-trend analysis (MF-DFA) is used to analysis the deflection information of bridges. The deformation characteristic parameters can be obtained by the multi-fractal de-trend fluctuation method, which can effectively identify the deformation degree of bridges. The analysis result shows that the multi-fractal de-trend fluctuation analysis method provides the theoretical basis and implementation approach for the health monitoring of the bridge.

With the development of China’s economy, the total area of public buildings is continuously increasing, and higher energy consumption in this field is gradually becoming prominent. In order to improve this situation, China has been working on energy savings in public buildings since 2007. Energy-saving models and energy policies have become the lifeline of sustainable energy development. Furthermore, the energy-saving renovation of public buildings, as a key project, has attracted the attention of governments and scholars. In the report of the 18th National Congress of the Communist Party of China, energy conservation and emission reduction were given a prominent place. The 13th Five-Year Plan (2016–2020) aims to further promote China’s energy conservation work. On the one hand, administrative and legal measures should be taken to strengthen energy conservation. On the other hand, it is necessary to speed up the establishment of a long-term market-based energy-saving mechanism and to rely on market forces to remove various obstacles to energy conservation. Energy performance contracting (EPC) is a practical and effective method applied in energy conservation. Therefore, this research aims to put forward a relatively perfect energy-saving risk management system for EPC public building projects based on analysis of the factors influencing investment risks of energy-saving projects and the use of quantifiable risk management models, thus providing some theoretical support for the risk decision-making of energy service companies.

This paper proposed an approach for the identification of mutation mechanisms of breast cancer in women in four member countries of the Middle East Cancer Consortium i.e. Egypt, Jordan, Cyprus and Israel (Arabs and Jews). We set up multistage models including both gene mutation and the clonal expansion of intermediate cells. We fit the data-set related to the incidence of female breast cancer in the four member countries. Our simulation results show that the maximum number of driver mutations of breast epithelium stem cells of Egyptian women is 13, whereas there are 14 driver mutations in the genome of stem cells of female patients in Jordan, Cyprus and Israel (Arabs and Jews). In addition, the 3, 10, 5, 5 and 4 stage models are the optimal ones for the tumorigenesis of females in Egypt, Jordan, Cyprus, Israel (Arabs) and Israel (Jews), respectively. The genomic instability is caused by first three driver mutations.

In order to improve the efficiency of dynamic system prediction modelling, this paper proposes a predictive model based on high-order normal differential equations to obtain an explicit model. The high-order constant differential equation model is reduced, and the numerical method is used to solve the predictive value. The results show that the method achieves the synchronisation of model establishment and parameter optimisation, in addition to greatly enhancing the modelling efficiency.

The efficiency of support vector machine in practice is closely related to the optimal selection of kernel functions and their hyper-parameters. A novel kernel, namely the arctangent kernel, is proposed in this paper. Compared with the Gaussian kernel, the new proposed kernel has a quick similarity descent in the neighborhood of the inspection sample and a moderate similarity descent toward the infinity of the inspection sample. The experimental results on two simulated data sets and some UCI data sets show that the new proposed kernel function has better effectiveness and robustness compared with the polynomial kernel, the Gaussian kernel, the exponential radial basis function, and the former proposed kernel with moderate decreasing.

This paper concerns the design problem of optimal preview repetitive control (OPRC) for impulse-free continuous-time descriptor systems. First, by using a linear transformation, the descriptor system is transformed into a normal system with relatively low dimensionality and an algebraic system. Based on this, an augmented system which contains the error vector and the derivative of the normal system is constructed. Then, applying the lift technique and introducing a new performance index, the OPRC designing problem is converted into a regulation problem. Based on the optimal control theory, the regulator problem of the augmented system is solved. Furthermore, the explicit OPRC law for the original system is deduced. Different from the existing results, the preview feed-forward and error integral compensations are added into the OPRC system, which can significantly improve the tracking performance. Finally, a numerical example simulation result verifies the validity of the proposed method.

This paper discusses the invariance of the rank of a matrix, the conditions and applications of matrix inequalities, the relationship between matrix rank and matrix operations, the relationship with matrix reversibility, the linear correlation with vector groups and the zero relationship of eigenvalue algebra multiples and other properties. The application of the rank of the matrix in linear algebra, analytic geometry, probability theory, etc. is obtained.

In this study, the solution of the non-linear influenza disease system (NIDS) is presented using the Morlet wavelet neural networks (MWNNs) together with the optimisation procedures of the hybrid process of global/local search approaches. The genetic algorithm (GA) and sequential quadratic programming (SQP), that is, GA-SQP, are executed as the global and local search techniques. The mathematical form of the NIDS depends upon four groups: susceptible S(y), infected I(y), recovered R(y) and cross-immune individuals C(y). To solve the NIDS, an error function is designed using NIDS and its leading initial conditions (ICs). This error function is optimised with a combination of MWNNs and GA-SQP to solve for all the groups of NIDS. The comparison of the obtained solutions and Runge–Kutta results is presented to authenticate the correctness of the designed MWNNs along with the GA-SQP for solving NIDS. Moreover, the statistical operators using different measures are presented to check the reliability and constancy of the MWNNs along with the GA-SQP to solve the NIDS.

The trajectory tracking of badminton players’ arm shots can be used effectively to enhance the player’s shot quality. To track the image trajectory of the batting arm, it is necessary to calculate the body posture ratio and tightness of the target area of the batting arm, to filter the background interference of the image segment of the batting and to complete the efficient tracking of the trajectory of the arm batting image. The traditional method combines the adaptive threshold segmentation method to extract the hitting arm target from the background, but ignores filtering out the background interference of the hitting image fragment. This paper proposes a trajectory tracking method based on the morphological operator of the batter image of the arm stroke. The method consists of (1) differentially calculating the image sequence of the hitting arm during two consecutive shots, (2) estimating the Gaussian model parameters of the differential image of the hitting arm during the hitting process, (3) extracting the outline of the moving target of the hitting arm during the hitting process and then calculating the body posture ratio of the hitting target area and compactness, (4) filtering the background interference of the shot image fragment, (6) constructing a global matching approximation function of the moving target and (7) finally determining the motion trajectory of the badminton arm of the batter. Simulation results show that the proposed method can effectively track the target of the hitting arm during the hitting process and generate a continuous trajectory of the hitting arm.

The paper establishes a related differential equation model about changes in financial interest rates. It uses information related to liquidity to feedback the law and stability of differential equations in interest rate changes. The article applies stochastic processes and partial differential equations to complex financial networks to confirm node yields in financial market networks. It confirms the existence of interest rate stickiness in Chinese financial markets. The advantage of this interest rate model is that when the external economic environment changes, the state of interest rates will also change accordingly.

Several classes of complete permutation polynomials (CPPs) in the form of (x^pm − x + δ)^s + ax^pm + bx over F_p^2m are described in this paper. For fractional exponent s, the permutation properties of the given polynomials are proved by the AGW criterion and for determining the bijectivity of the corresponding piecewise functions. For exponent s satisfying s = i(p^m − 1) + p^j, the main proofs here depend on the AGW criterion and the quantity of solutions for certain linearised equations. Several results generalise some earlier results on permutation polynomials (PPs).

The thrust of basalt fibre (BFRP) tendons will result in narrower transverse crack spacing, decreased load transfer capacity of transverse cracks and voids at the bottom of the slab, which will lead to thrust failure. The thesis uses the finite element analysis method to analyse the material characteristics of BFRP tendons. At the same time, the article determines the critical load position corresponding to the tensile stress of concrete and BFRP tendons, and analyses the influence of voids, crack spacing and other factors on the load stress of concrete and BFRP tendons. The study results found that continuously reinforced concrete and asphalt overlay composite design can reduce cracks.

In this work, a partial differential equation model for evolutionary dynamics is presented that describes changes in densities of phenotypes in a population. We consider that the traits of individuals of a population are distributed at an interval of real numbers where a mortality rate is assigned for each value of this interval. We present some conditions for stability of stationary solutions and apply the model in theoretical scenarios of natural selection. Particularly we approach cases of stabilising, disruptive and directional selection, including the scenario of the survival of the flattest. Some computational simulations are performed to illustrate the results obtained.

Volatile organic compounds (VOC) are important sources of environmental pollution. Several commonly used techniques for the treatment of VOC are reviewed. Recovery techniques can be classified into absorption, adsorption, condensation and membrane separation. Destruction techniques include biodegradation, photocatalysis, low-temperature plasma and combustion. The basic principle, applicable conditions, advantages and disadvantages of the above technologies are discussed. By contrast, the rotational regenerative combustion method has a broad prospect. Suggestions on the improvement of rotary regenerative combustion technology are presented. The treatment of VOC requires comprehensive consideration of the advantages and disadvantages of various technologies.

The study of motion of a test mass in the vicinity of an equilibrium point under the frame of restricted three body problem (RTBP) plays an important role in the trajectory design for different space missions. In this paper, motion of an infinitesimal mass has been described under the frame of Jupiter-Europa system with oblateness. At first, we have determined equilibrium points and then performed linear stability tests under the influence of oblateness of both the primaries. We found that due to oblateness, a considerable deviation in the existing results has occurred. Next, we have computed tadpole and horseshoe orbits in the neighbourhood of triangular equilibrium points and then the oblateness effect is recorded on these orbits. Finally, the evolution of orbits of infinitesimal mass about triangular equilibrium points have been estimated by using Poincaré surface of section technique and it is noticed that in presence of oblateness, quasi-periodic orbit dominates over the chaotic zones. These results will help in further study of more generalised models with perturbations.

In this study, first, the definitions of the preference relation matrix and the 0-1 permutation preference matrix of the linguistic judgement matrix are given. The method of judging the satisfactory consistency of the linguistic judgement matrix by the standard 0-1 arrangement matrix is obtained. This method not only solves the problem of satisfactory consistency when there are no equivalent objects but is also simple and effective. Then, the definition of the cyclic circle matrix of the three objects is given. According to the size of the preference value of the object line, the cyclic cycle and the adjusted language judgement matrix are obtained. Finally, the rationality and validity of the method are verified by examples.

Traditional rough set theory is mainly used to reduce attributes and extract rules in databases in which attributes are characterised by partitions, which the covering rough set theory, a generalisation of traditional rough set theory, covers. In this article, we posit a method to reduce the attributes of covering decision systems, which are databases incarnated in the form of covers. First, we define different covering decision systems and their attributes’ reductions. Further, we describe the necessity and sufficiency for reductions. Thereafter, we construct a discernible matrix to design algorithms that compute all the reductions of covering decision systems. Finally, the above methods are illustrated using a practical example and the obtained results are contrasted with other results.

In this work, multi-function vehicle bus (MVB) controller-based Field Programmable Gate Array (FPGA) and MVB manager based on the real-time multitasking operating system were explored and developed. The function of the MVB controller data link layer was realised by using FPGA. The embedded real-time multitasking operating system uCOS-II was applied to the development of MVB manager’s processing data, device state management, message data and bus management function. The network consistency test was performed to validate data communication of MVB link layer control protocol and the management function of MVB manager; the equipment was shown to be compatible with each other and met the requirements of IEC61375-1.

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.

Forest fires threaten not only the forest ecosystem but also the safety of human health and their property. The Chinese Government has issued corresponding policies to strengthen the emphasis on forest fire prevention. Therefore, this paper uses panel data from 31 provinces, municipalities and autonomous regions (except Hong Kong, Macao and Taiwan) in China from 2011 to 2018 to establish a multiple regression model to study the relationship between the forest fire prevention policy and the health of forest resources, and it draws relevant conclusions. We put forward relevant suggestions accordingly to promote the improvement of the health of forest resources.

The research on land-use transfer has always been a hot spot for domestic and foreign scholars, and it is also the focus of practical works. In China, the Beijing Municipal Government has put forward many forestry policies, emphasising the need to improve the collective forest land transfer system against the new background of the capital’s forestry development. This paper built a binary logistic regression model and structural equation modelling (SEM) based on the theory of planned behaviour (TPB), collected research data through questionnaires and explored the factors that affect the willingness of the transfer of forest land. The research showed that (1) farmers’ attitudes and behaviours had significant negative impacts on the willingness to transfer forest land. When farmers are assured that they know more about the forest land’s management rights transfer policy, and the forest land’s management rights transfer can bring more income to them, they will be satisfied with the existing forest land policy, which is more conducive to the forest land’s management rights transfer; (2) the perceived behaviour control of farmers had no significant impact on the willingness of forest land’s management rights transfer, that is, difficulties that farmers perceived in the implementation of forest land’s management rights transfer did not significantly affect their decision-making willingness and (3) the different results of the two models’ analysis on the impact of subjective norm on the willingness of forest land’s management rights transfer need further study and verification.

The transformation method between the linguistic judgement matrix and other four forms of preference information is researched in this paper. The four forms of preference information are preference ordering, utility value, reciprocal judgement matrices and complementary judgement matrices. First, based on the definition of preference information, the mutual transformation methods of linguistic judgement matrix and other four forms of preference information are given. Then new transformation equations are obtained. Next, it is proved that when the linguistic judgement matrix has complete consistency, the other four forms of preference information will have complete consistency too. Finally, a numerical analysis is offered to show that these methods are feasible and effective.

Data mining is a practice that employs mathematical algorithms to search for hidden information in a large amount of data to analyse the underlying pattern and law, and this practice is also known as knowledge discovery in data. The National Basketball Association (NBA) is the professional basketball game at the highest level in the world, and many events in an NBA game are used for statistical analysis. In this paper, data mining technology was applied based on event statistics to quantify the ability of basketball players and teams, the aim of the exercise being to predict basketball results. According to the NBA (2013–2018) season competition data, the quantitative evaluation method was firstly used to establish a player ability evaluation model, and the feature variable selection history game data weighting method was selected to construct a team player ability evaluation feature system. Secondly, machine learning algorithms such as linear regression, XGBoost and neural network models were used to predict the player performance. Considering the randomness and uncertainty of sports competitions, this paper deploys a combination of data mining algorithms and statistical simulation methods to predict the uncertainty of events, and the results indicate a good prediction effect. Therefore, this combined method is worthy of being applied in the evaluation system of team players and in game prediction.

Rapid construction of ripple web (RW) is a new construction technology that can be applied to the prestressed concrete (PC) box girder bridge with corrugated steel webs (CSWs). In order to analyse the mechanical behaviour in the construction process when the RW method is applied, the main bridge of Zhao-Jun Yellow River Super Large Bridge was adapted as the engineering background, and a three-dimensional simulation finite element model was established. Thereafter, detailed mechanical analyses were carried out for CSWs, top concrete and bottom concrete, lining concrete, temporary support and other structures in the construction process when the RW method was used. The results reveal the excellent quality of the mechanical properties of the structure, thus indicating the structure's safety and reliability. This study can provide a reference for similar research and have a positive impact on the further promotion of the RW method for application in the continuous girder bridge with CSWs.

Non-sampled contourlet transform (NSCT) is a kind of non-down sampling image transformation, without spectrum aliasing, and the high-frequency region component can be further decomposed into various direction information, which has a good expression of image details. Therefore, this paper proposes an image fusion technology based on NSCT. Considering the different characteristics of low-frequency and high-frequency region components, the PCNN parallel method and ‘golden section method’ are used as double fusion rules, respectively in high- and low-frequency regions, whichperform the merge operation on the low area component. Experiments show that this algorithm has great advantages in preserving the details of image contour, texture and edge.

With the popularisation of education, the number of college students is increasing day by day, and there are also more students with psychological health problems. Whether students’ psychological abnormalities can be detected in time is one of the main problems faced by colleges and universities at present. Adopting digital technology to mine, collect and analyse the data generated by psychological health education in colleges can effectively solve the dynamic development of students’ psychological health problems. Therefore, in this paper, the psychological health problems of college students are identified and classified by establishing an improved logistic regression model. The behaviour characteristics are quantified and the differences are combined according to students’ relationships with their classmates, life rules and economic conditions. The test results show that the regression effect of the model is excellent, which can identify college students’ psychological health problems and improve the intervention and treatment of educators on students’ psychological problems.

The fractal structure of magnetic island is studied qualitatively and quantitatively. The fractal dimension of magnetic island is obtained, and the formation of fractal structure of magnetic island is explained.

The city administrative law-enforcing personnel (shorted to ‘chengguan’ in China) burnout is serious. How to timely detect, accurately measure and alleviate the burnout is an important issue for the new urban development areas in China. To construct the job demands-resources (JD-R) model, surveys in new urban areas of China were carried out. Results showed that burnout of chengguan was significantly different in terms of demographic characteristics. Job burnout of chengguan can be predicted by job demands and job resources. These findings can provide implications and guidance for the government sectors to reduce the intangible loss of human resources and to improve their health.

A physical model of a tall space livestock house was established using Prosim software and the relevant boundary conditions were set under the replacement of ventilation conditions. The exhaust air volume calculated by different ventilation times is simulated to the effort of the indoor pollutant concentration distribution and the measuring points are evenly arranged in the space. The study found that the replacement ventilation effect is optimal and the indoor pollutant concentration is the lowest when the indoor air supply and exhaust air volume are increased to 45 times/h.

With increasing market competition and the arrival of technological innovation, the automobile-manufacturing industry faces great changes. In this situation, the quality of internal control becomes an important part that affects the growth and development of enterprises. According to the theories of internal control and enterprise growth, this paper selects data of Chinese listed-companies in the automobile manufacturing industry to analyse the relationship between the internal control index and enterprise growth. Further, it verifies the research conclusion using multiple regression analysis that the improvement of internal control quality can play a positive role in promoting the growth of automobile manufacturing enterprises.

User profiles constructed using vast network behaviour data are widely used in various fields. However, data island and central server capacity problems limit the implementation of centralised big data training. This paper proposes a user profile construction method, Fed-UserPro, based on federated learning, which uses non-independent and identically distributed unstructured user text to jointly construct user profiles. Latent Dirichlet allocation model and softmax multi-classification regression method are introduced into the federated learning structure to train data. The results show that the accuracy of the Fed-UserPro method is 8.69%–19.71% higher than that of single-party machine learning methods.

In this study, parameters of the Grüneisen equation of state for GH4169 alloy were calculated based on multi-scale impact technology and first-principles calculation methods. The calculated parameters are consistent with the results of Liu et al., which primarily verifies the accuracy of the method. The AUTODYN software was used for numerical simulation of dynamic plate impact experiments. The parameters of the Grüneisen equation of GH4169 alloy were used as input to verify its accuracy. Comparing and analysing the speed of the free surface particle and the actual experimental measurement point at the same position, it is concluded that the simulated value is consistent with the experimental value. The morphology of the flying piece and the target have the same characteristics, which proves that Grüneisen equation of state parameters obtained by proposed parameter identification method are practical and reliable.

Antibiotic resistance is a significant public health problem. When resistance genes are being carried on plasmids, the spread can be greatly accelerated. In this paper, the transmission of antibiotic resistance in two types of cells is discussed. A mathematical model is established to describe the dynamics of the transmission of plasmids. The effects of different parameters on the stable solution and sensitivity analysis are studied by numerical simulation. The conclusions show that the concentration of antibiotics must reach a certain level to kill the pathogenic bacteria. If the concentration of antibiotics is not high to a certain extent, the treatment becomes ineffective. If the cost of cells carried on plasmids and the rate of resistance plasmids segregation too high, the drug-resistant cells will gradually die out in the system. The rate of horizontal transfer of resistance plasmids is directly related to the spread of drug resistance. With the increase in the horizontal transfer rate of resistance plasmids, cells in the body gradually turn into cells with antibiotic resistance, which causes substantial difficulties in the treatment of diseases.

In recent years, mapping of knowledge domain and political knowledge has developed rapidly and gradually penetrated into many practical applications. The construction of an ideological and political knowledge framework for colleges has become one of the important applications. Therefore, commencing with the theory of mapping of knowledge domain, and aiming at resolving the difficulty involved in effectively extracting and analysing ideological and political knowledge, a mining method for ideological and political knowledge elements is constructed in this paper, based on LDA model and Apriori algorithm. By setting a three-dimensional matrix of keywords and association rules, an algorithm for mining of ideological and political knowledge elements is proposed, where LDA model is used to acquire ideological and political subject words, and Apriori algorithm is used to discover tacit ideological and political knowledge. It is helpful to solve the problem of excavation and presentation of ideological and political elements in college curriculum, serve the ideological and political construction of curriculum, which is of great significance to dredge students’ learning paths and reduce learners’ learning cost.

In this paper, we study the congruences on w-U-a semigroups with s-transversals. The g-congruences on a w-U-a semigroup with an s-transversal T_V are described abstractly by the e-triple, which consists of equivalences on the structure component parts I, T and Λ. Also, it is shown that the set of all g-congruences on this kind of semigroups forms a complete lattice.

With the development of big data and blockchain technology, a large amount of multi-source heterogeneous data has been accumulated in the agricultural field by before, during and after production. Agricultural information service systems are often targeted at specific regions, specific applications and specific data resources. Due to the lack of effective analysis and refining, the conversion efficiency of data resources into useful information is too low, resulting in contradiction between the continuous enrichment of agricultural data resources and the relative lack of agricultural information services. Therefore, in view of the multi-source heterogeneous characteristics of agricultural data and the specific business needs of different agricultural scenarios, the intelligent processing method of agricultural data is analysed, and a heuristic algorithm based on K-Means limited clustering number is proposed to judge the accuracy of abnormal data processing. By inputting test sample data for testing, the algorithm has improved accuracy by nearly 30% compared to traditional K-Means.

This article uses the radial basis function artificial neural network and the MATLAB toolbox to study the vibration control of civil engineering structures. The article proposes a dynamic structure design method based on a generalized radial basis function neural network. Furthermore, the RBF neural network theory is used to optimize the structure-related controller parameters in geotechnical engineering. The research results show that RBF neural network can more accurately predict the vibration response of civil engineering. It can effectively solve the time lag problem in vibration control.

We propose a feature extraction method based on the Kmeans algorithm based on the text characteristics in the English translation corpus. The article first uses a sparse autoencoder unsupervised learning method to reduce dimensionality. It then uses the Kmeans clustering algorithm for text clustering. The experimental results prove that the text features extracted by the sparse autoencoder based on the Kmeans algorithm can be used for English translation corpus knowledge clustering to achieve automatic integration. And this method can effectively solve the problems of high-dimensional, sparse, and noisy texts in the English translation corpus. The algorithm mentioned in the article can significantly improve the accuracy of the clustering results.

We use the Legendre wavelet method to study nonlinear fractional differential equations. Based on the in-depth study of the characteristics of various fractional-order dynamic system models, this paper designs a system for solving fractional-order differential equations, and we apply them to the anomaly analysis of big computer data. This method can improve the efficiency of big data classification. The results of computer numerical simulation show that the designed algorithm for solving fractional differential equations has high accuracy. At the same time, the algorithm can avoid misclassification and omission in big data analysis.

The article applies mathematical statistics to the dynamic analysis of the demand for talents in large companies. Prediction of the overall demand for talents through the use of deep learning models. We use the theory of diminishing marginal utility to solve the degree of enterprise human resource investment under each index. Based on the analysis of traditional human resource management methods, this paper uses the three-dimensional fuzzy model to construct a new three-dimensional fuzzy model of human resource management model. The research found that the algorithm proposed in this paper can improve the quality of data training and improve the matching of people and posts.

The successful implementation of the robot teleoperation system has greatly improved the ability of remote robots. The force feedback technology is applied to the teleoperation system. On the one hand, the main operator manipulates the operator's related movement information to the target robot; on the other hand, the main hand feeds back the force situation of the target robot in the remote control to the operator. From the robot under the control of the system can more accurately complete the task, with a higher work efficiency. Teleoperation system with force feedback function generally adopts bilateral control, the master and slave end of the system have a certain delay in the transmission process, it makes the stability of the system destroyed. This paper uses a two-port network to simulate the communications link of the teleoperation system as a lossless transmission line, solves the stability problem of teleoperation systems with force feedback in the presence of time delay effectively. Experimental simulation results show that this method can guarantee a higher stability of the system..

Based on the knowledge of convenience stores, this paper comprehensively probes the influencing factors of their location, and constructs and analyses their location mode. The initial evaluation system was put forward, which consists of 5 primary indexes and 14 secondary indexes. The primary index is divided into population, traffic, competition, self-factors and others. After determining three different location evaluation systems, the location model of chain convenience stores is constructed and verified based on the data of Nanjing. The verification of the model shows that the accuracy of the location model of a convenience store is 90.3%, which indicates that the location model proposed in this paper has high accuracy and practicability.

To promote the practical use of web service technologies, it is critical to select a proper web service that will meet users’ preferences from a pool of web services with similar functions. It is usually a core issue during web service selection to describe and evaluate the quality of these web services. Average value can be employed to describe certain service quality and to evaluate the quality with multiple criteria through the Simple Additive Weight Method. Based on an analysis of various deficiencies in existing approaches proposed in some studies, four indicators were used: Price, Response Time, Reliability and Credibility. On top of that, recent sampling data sets were introduced to describe the uncertain quality of service (QoS) criteria; linear physical programming was used to evaluate QoS with comprehensive criteria to meet the need to objectively describe uncertain QoS criteria, and preference regions were set to adapt to interval characteristics of criteria. Finally, a computational example is provided to demonstrate the feasibility and effectiveness of the method.

Under replacement ventilation conditions, a simplified physical model of a tall space (livestock house) was established using ProSim software, and the relevant boundary conditions were set. The airflow size and direction distribution under different air supply and exhaust airflow conditions were obtained by slicing, and the simulation results showed that appropriately increasing the air supply and exhaust airflow helps to increase the pollutant emission rate so that pollutants can be discharged in time, but when the air supply and exhaust airflow were increased to a certain extent, these will cause the airflow vortex phenomenon near the pollutant source, which will enhance the mixing effect of pollutants and surrounding air, making up the pollutant concentration also. The study found that when the indoor air supply and exhaust air volume is increased by 45 times/h, the replacement ventilation effect is optimal and the indoor pollutant concentration is the lowest.

With the advent of the artificial intelligence era, the traditional methods of online learning can no longer meet people's personalised needs. Take the English vocabulary memory APP, which is widely used in the market of learning software, as an example. At present, there are various factors that make it difficult for learners to improve their learning efficiency, reduce their learning enthusiasm and enhance their learning effects. Therefore, in this paper, the application of machine learning algorithm in intelligent recommendation of English vocabulary learning is studied, and an intelligent recommendation system for English vocabulary learning based on crowdsensing is established. In its functional module, machine learning algorithms such as clustering algorithm, word vector training and collaborative filtering recommendation are used to realise the intelligent recommendation in the system. Finally, accurate resources of recommendation for user groups with different needs, interest characteristics and abilities improves the efficiency of English vocabulary learning.

This paper uses the principle of compressed mapping to discuss the existence and uniqueness of the explicit finite difference method for the fractional diffusion equation with time delay. The Laplace transform method obtains the necessary expression form of the solution. At the same time, the existence theorem and the existence and uniqueness theorem of the solution to the boundary value problem is established. Finally, an example is given to verify the correctness of the conclusion. The experimental results show that the parallel algorithm proposed in this paper agrees with the exact solution.

The article first uses the fractional derivative to define a new fractional bounded variation function space. This method constructs the corresponding electronic information image model denoising mask by setting a smaller fractional integration order. The experimental results show that the image denoising algorithm based on fractional integration can not only improve the signal-to-noise ratio of the image compared with the traditional denoising method, but also can better retain the details of the edge and texture of the electronic information image.

This article proposes a resonance suppression method for a flexible load servo drive system based on a flexible manipulator's pose transformation. We establish a flexible load servo drive system for the robotic arm based on the continuum vibration theory and the transfer function estimation method. The controller consists of two parts: compensation control and dynamic feedback. The transfer function of the active feedback part is strictly positive and real. At the end of the thesis, the asymptotic stability of the closed-loop system in the neighborhood of the desired position is proved through the linear operator semigroup theory and the LaSalle invariant set principle.

If you use simple linear equation classification for big data analysis and classification modeling, the work efficiency is low, and the accuracy is also poor. For this reason, the thesis uses nonlinear differential equations to carry out computer-aided unsteady aerodynamic modeling. Based on the perspective of differential equations, the big data classification technology is studied, and the classification model is established. The article constructs the differential classification mathematical model by establishing the differential equation with second-order delay and the constraint conditions of the model specification set. The article identifies and identifies linear parameters such as characteristic time constants in the aerodynamic model. Research shows that the model can accurately predict unsteady aerodynamic characteristics under different maneuvers.

This article combines ordinary differential equations’ theoretical and practical characteristics to explore how to integrate mathematical modeling ideas in teaching materials and teaching methods. We apply the fractional differential equation algorithm to the mathematical modeling of Terman diffusion. At the same time, the article proposes a framework for obtaining accurate solutions of a class of nonlinear Sinai stochastic models with power-law diffusion through Mittag-Leffler function transformation. In this way, we have obtained great explicit and accurate solutions of some important Mittag-Leffler function power-law diffusion physical processes.

It is more difficult to give Laplace transform directly in a defined form or derive it by Fourier transform in mathematics teaching. The article gives a solution for solving high exponential series sum by using Laplace transform. With the help of Laplace transform, calculus operations can be transformed into complex plane algebra operations. The application of the algorithm to the option hedging strategy verifies the applicability of the algorithm proposed in this article.

Many economic variables are interdependent, restrictive, and influential. Finding the law of change between economic variables and influencing factors and expressing this law in mathematical expressions will bring great convenience to forecasting. A statistical analysis method that uses mathematical equations to determine the quantitative relationship between two or more variables. This is more commonly used when estimating and predicting the value of the dependent variable. The article analyzes the data on the National Bureau of Statistics website and uses the method of multiple linear regression to fit the graphs of economic indicators. Finally, the forecast data is analyzed in detail. We evaluated the modeling method of the prediction model and the credibility of the prediction data from a practical level.

This article uses the curve equation model to describe the initial value problem of differential equations in BIM project management. A new set of rolling curve-solving models is established for step-aligning in BIM project management. Based on the premise that the differential equation can be solved numerically, we appropriately simplify or set the required relational functions in the equation. Finally, we use mathematical software to numerically solve the differential equation and obtain the discrete function of the rolling curve. The research shows that the accuracy of the step flatness and the width of the stepped groove formed by the rolling curve of the solution in this paper is better than the original solution.

This article constructs a nonlinear differential equation model that incorporates non-defective return factors and minimizes the expected cost of the inventory control problem under the cross-border e-commerce overseas warehouse model. Under the dynamic background, the problem of pricing and shop assistant decision-making in the supply chain is studied, and the differential game model is constructed. We use differential game theory to give pricing and store assistance strategies under decentralized and centralized decision-making. At the same time, we designed a contract to achieve supply chain coordination in this context. Numerical examples calculate the optimal return price and optimal order quantity under supply chain coordination.

This article proposes a fault component location method based on graph theory and analyzes the properties of the elements in the fault judgment matrix. We can use the exclusive OR algorithm to determine the faulty section. On this basis, the realization model and algorithm essence of the optimal test set is given. At the same time, we propose an optimal test set design for circuit fault diagnosis based on graph theory. Finally, the realization of the article verified that the method adapts to the flexible operation mode of the active distribution network structure and can accurately determine the fault section.

Visualization software provides powerful numerical calculations for the 3D mathematical modeling process. This paper uses optical motion capture mathematical modeling technology to track and detect dancers' dance movements in segments in real-time. The research results found that the visual dance choreography system proposed in the article improves the efficiency of posture analysis and real-time analysis improves the quality of teaching. This has played an important role in the digital teaching of dance movements and the development of science.

This article proposes a nonlinear mental health evaluation model after combining the nonlinear finite element equation with the mental health education of teachers in colleges and universities. We take the “self-concept” in psychology as an order parameter to judge mental health. At the same time, logical thinking is used to guide college teachers to rethink the process of their psychological activities. Research has found that the nature of human psychology is nonlinear. It is feasible to use nonlinear analysis methods to improve the status quo of original data analysis in psychological and behavioral control research.

This article takes cross-border e-commerce platform operation receipts as the research object. It uses fractional differential equations to construct a market demand function jointly affected by channel radiation range, price, and price differences. The study results show that the heterodyne effect of cross-border e-commerce guarantees the competitive position of the market incumbents of the cross-border e-commerce platform. The article also illustrates the effectiveness and practicality of the cross-border e-commerce supply and demand fractional differential matching decision-making method.

This paper applies the Gaussian random field to the mathematical modeling of new-type silicate glass-ceramic trachoma detection. The article established a three-dimensional numerical model of trachoma structure based on the anisotropic random field. Then, the open and closed operations in mathematical morphology are used to obtain the strongly connected boundaries of the new-type silicate glass-ceramic trachoma image. At the same time, the connected domain detection in binary morphology is used to remove the noise to obtain the target image of the silicate glass-ceramic pore. The study found that this method can better meet the requirements of silicate glass-ceramic trachoma measurement than the classic edge detection operator.

Fractional differential equations are one of the important contents of advanced mathematics courses. The article uses fractional differential equations to describe the effects of children’s innovative education courses. Through the qualitative analysis of the basic model, several conditions to ensure the effect of children’s innovative education courses are obtained. At the same time, combined with practical experience, the teaching curriculum case design analyzes the specific application of the fractional differential equation in the effect of children’s innovative education curriculum. Research has found that the fractional differential equation algorithm improves the efficiency of innovation.

This article proposes a software fusion processing method for multi-sensor monitoring the Internet of Things based on the fractional differential filtering algorithm. The purpose is to solve the difference between the detection data caused by the difference in each production information sampling node's equipment performance and working environment. The article applies the above algorithm to the remote detection data fusion processing experiment of the discrete manufacturing system of the Internet of Things. The research found that the algorithm realizes the remote high-precision measurement of the Internet of Things sensor information. The fractional integral operator has high fusion accuracy in remote detection data fusion processing.

Structural Equation Modeling (SEM) focuses on the impact of the social-ecological environment on individual behavior. We apply it to exploring the inner relationship between college students' psychological factors and physical exercise. We conducted a questionnaire survey on several college students and established a sports psychology model influencing factors table. The results show that the physical exercise model of college students contains unique characteristics of psychological factors. 2) The structure of the cooperative assessment scale for college students’ physical learning is reasonable and has good reliability and validity. This has met the relevant requirements of psychometrics. Therefore, we believe that the psychological factors of students are inherently related to physical exercise.

The article explores the evolution of regional spatial differences and has important practical significance for promoting the coordinated development of regional tourism. The article analyzes the characteristics of the spatial evolution of the economic tourism pattern from 2010 to 2020. The study found that the development of the regional tourism economy is on the rise, and the development is not balanced. The spatial self-organization of economic development is getting stronger and stronger, and the spatial economic distribution is different. Then this article analyzes the main factors that cause this spatial distribution and proposes corresponding solutions. This provides a theoretical basis for reducing the gap in the tourism economy between regions and promoting the coordinated development of the regional tourism economy.

This article uses fifth-order nonlinear differential equations to describe the dynamic process of electrical automation control systems. This method first derives the equivalent system of the nonlinear fuzzy global system and then uses the orthogonal polynomial series expansion technique and its integral operation matrix. The local manifold at the dominant unstable equilibrium point of a single-machine infinite-bus system after a failure described by a two-dimensional quadratic nonlinear differential equation is calculated, and the stability boundary of the power system is obtained. The research results show that the output frequency fluctuation of the electrical automation control system is small after the algorithm is adopted, and the intelligent control system can accurately diagnose and warn the electrical faults. The system can meet the requirements of online voltage coordinated control.

The article applies mathematical calculus modeling to analyze the force of shot put. We emphatically analyzed the relationship between the angle of the shot and the initial velocity and calculated the motion trajectory equation of the shot put. The above research results are used to assist in the analysis and help improve the teaching performance of sports shot put. The study found that different forces have different effects on the horizontal displacement of the shot. Under the comprehensive force analysis, the horizontal velocity gradually decreases with time, and under the gravity analysis, the horizontal velocity of the shot is constant. The horizontal displacement of the shot put is related to the shooting angle and initial speed. Under the comprehensive force analysis, the influence of air resistance and buoyancy on the throwing distance is different due to the different combinations of shooting angle and initial speed.

The article theoretically analyzes the relevant knowledge of shot put in the shot put sports training of colleges and universities. The fractional differential equations are used to analyze the influence of the initial speed and the shot situation on the performance of the shot put. We obtain the joint angles of each stage of the shot throw through experimental design, time-consuming, final speed, limb displacement, shot-put shot speed, height, angle, and other kinematic parameters, and the shot-put motion trajectory of the picture stroke of the relevant action characteristics.

We use the panel data of innovation and entrepreneurship for global spatial autocorrelation and model selection testing. At the same time, we applied the Spatial Dubin Model (SDM) to empirically study the knowledge spillover effects of higher education campuses on regional innovation capabilities. Experimental research found that there are significant spatial differences in the innovation efficiency of universities. Specialized agglomeration can effectively improve the innovation efficiency and scale efficiency of colleges and universities. At the same time, the diversified agglomeration has no obvious effect on the innovation efficiency of colleges and universities. The accumulation of high-tech industries can effectively promote the innovation efficiency of universities. Human capital and opening to the outside world can effectively improve the innovation efficiency of universities.

This paper refers to the Lagrangian mathematical model and the Rackwitz-Fiessler transform model in modeling advanced mathematics applications. In this paper, the Lagrangian interpolation method and Rackwitz-Fiessler transform are used to calculate the correlation coefficient efficiently. The purpose of this algorithm is to speed up the process of probabilistic modeling. This paper uses integral probability transformation to characterize the output's uncertainty by the production's joint distribution function. The purpose of this process is to improve the reliability of the calculation. Through the algorithm analysis, it is found that the method is reasonable and efficient.

This article combines the fractional differential theory with the total variation method and applies it to defining cultural industry image color matching. At the same time, we propose a new image color matching denoising model based on fractional partial differential equations. The model achieves simultaneous denoising in the time direction and the spaceplane. Experiments have proved that the fractional partial differential equations method has more advantages than integer-order partial differential equations in denoising and reducing step effects. It can effectively improve the contrast and clarity of image color matching in the cultural industry.

This article applies mathematical probability theory to statistical algorithms to conduct game analysis on the relevant marketing decisions of foreign trade cross-border e-commerce. We build a theoretical framework for the collaborative development of SMEs and cross-border e-commerce platforms. At the same time, build a trustworthy transaction margin mechanism for cross-border e-commerce transactions in a fuzzy market environment. The participation of the blockchain big data platform can promote the development of foreign trade cross-border e-commerce toward a more transparent and healthy partnership.

This article applies multiple nonlinear regression methods to establish a forecasting model for the load characteristics of air conditioning in shopping malls at different times. Based on Python data, determine the functional relationship of refrigerant parameters concerning pressure and temperature. The article uses kernel smoothing estimation technology to calculate the room temperature probability density distribution of users participating in DLC to characterize the user's comfort. The article's research results show that the average error between the regression analysis results of refrigerant parameters and the reference value is within 1%. This model is suitable for medium and long-term load forecasting. It has high prediction accuracy for the sudden change trend with a turning point.

This article uses a logarithmic growth model to analyze the correlation between the national economy and real estate. It reveals the Granger causality between the national economy and the real estate economy. The results show a long-term equilibrium relationship and a two-way Granger causality between real estate prices and economic growth. Excessive growth in real estate prices will create bubbles and will also drive economic growth backward.

This article uses BIM technology to simulate HVAC in a commercial building. And use fractional differential equations to verify the set temperature, humidity, and other related parameters. The experiment takes an air-conditioned room model as the research object and uses the thermodynamic characteristics to establish a dynamic mathematical model of differential equations. Research shows that the multiple electric heat pump equipment aggregation groups discussed in this article are a good resource for user-side demand response. The air-side flow rate disturbance of the building HVAC has the greatest impact on the heat transfer of the surface cooler. As the air velocity increases, the rate of increase in heat exchange will decrease.

With the help of fractional differential equations, this article studies the failure morphology, fatigue strength, and fatigue life of corroded reinforced concrete beams under fatigue loading. Studies have shown that the mid-span deflection of low-corrosion reinforced concrete beams is smaller than that of uncorroded reinforced concrete beams. The corrosion-fatigue coupling effect accelerates the fatigue crack growth rate of steel bars. This reduces the fatigue modulus of concrete and causes the stiffness of the beam to degrade. The research results provide a theoretical basis for the fatigue performance evaluation of corroded reinforced concrete beams.

This article first uses a new method of nonlinear combination forecasting based on neural networks to construct a financial crisis early warning model and conduct an empirical study. The drafting article uses Fisher's second-class linear discriminant analysis and binary logistic regression to establish a three-year early warning model for listed companies before the financial crisis. Empirical research shows that this early warning model applies to various industries. It can play a certain role in predicting and preventing the financial crisis of Chinese companies.

By establishing common simplified model rules for strollers, the early planning of rapid modeling of new products is realized. We have ergonomically designed the shock-absorbing structure of the stroller. Studies have shown that the vibration damping of the stroller has the greatest relationship with the damping structure of the car body itself. The vibration acceleration monitoring of the cart with the frame damping system found that due to the frame damping system, nylon components are used for isolation between the frame connection parts and between the wheel and the seat pocket so that the nylon can effectively absorb the impact energy.

This article uses SPSS19.0 and AMOS21.0 statistical software to explore the relationship between corporate talent management and corporate performance. We use the structural equation model to quantitatively analyze the human resource management factors that affect logistics performance. Research shows that intellectual capital has a significant positive effect on enterprise innovation performance. The value proposition of employee training to customers and good customer service have an overall positive economic effect. Human capital plays a significant role in driving innovation performance only in the more mature stage of enterprise development.

This article uses mathematical modeling methods to predict the trajectory of a free kick in football. The article calculates the parameters of the ball's trajectory and quantifies the power of direct free kick shots. The article combines Kalman filter prediction and linear interpolation to supplement the position of the missed ball in the video. The experimental results show that the estimated result of this method is highly similar to the actual flight trajectory of football. This algorithm can be applied in practice.

The paper calculates the nonlinear dynamic differential equation model based on the stiffness of the gear teeth and gives the calculation method of the spring stiffness of the transmission system. Choose the Lyapunov energy function and derive the adaptive law that can make the system asymptotically stable globally. At the same time, we discussed the influence of the phase combination of the coupling shaft's torsional stiffness and the gears' meshing stiffness in the multi-stage gear transmission system on the system dynamics. The example calculation shows that the asymptotic method has higher solution accuracy and higher calculation efficiency. This algorithm is a highly versatile analytical solution method.

This article studies the generation of 3D animation simulation based on gray value algorithm and fractal interpolation algorithm. The article uses fractal technology combined with the Diamond-Square algorithm to generate height data and then color it. This algorithm optimizes the 3D animation process. The results show that the algorithm is fast in generating speed and only needs to input a few simple animation parameters to generate different 3D animations.

P-sets (P stand for Packet) and P-matrix are novel and effective mathematical tools for studying dynamic information systems. In this paper, the concept of P-information mining is given by using the dynamic characteristics of P-sets and P-matrix structure. In addition, the reasoning theorem of P-matrix and the reasoning structure are given. Moreover, the information intelligent mining method under the condition of P-matrix reasoning is obtained. As the application, intelligent recognition of information image was shown.

This article establishes the actual movement mathematical model of CNC machine tools for the precision processing of jewelry. Through analyzing the general geometric error analysis model of CNC machine tools with less than five axes and the method of solving precision CNC instructions, the operating principle of the CNC machine tools is studied. At the same time, we use a transformation matrix to express the relationship between the various moving bodies. The article abstracts the complex motion relationship between entities as the relationship between mathematical matrices. The experimental results show that the theoretical method proposed in this paper can increase the machining accuracy of the machine tool by more than 50%.

As the geological exploration data is relatively sparse, unevenly distributed, and contains many geological faults, simple geological surface reconstruction has certain limitations. Based on the fractional differential equations, the paper establishes a subsidence prediction model in exploring geological and mineral resources. The dynamic system described by the reaction-diffusion equation can be mapped to a nonlinear cellular network through space and time discretization. At the same time, the original partial differential equations can be transformed into ordinary differential equations. Furthermore, we can use the difference method to simulate its evolutionary behavior quantitatively. The research results show that the error accuracy between the prediction results of the fractional gray theory established in this paper and the actual engineering results is higher.

We use mathematical modeling methods to incorporate new elements into the computer graphics technology and visual communication design process. This method realizes the design of a computer image visual communication system. This method uses artificial vision to model and extracts local features. The micro-partial equation obtains the background reference line of the target point in the image sequence to complete the background suppression in the image spatio-temporal domain. The experimental results show that the proposed algorithm has a better tracking effect of subsequent frames of video images and higher tracking efficiency.

Initially we applied the same data structure to grid generation, with further research, we found that the overall calculation efficiency of such a design is not high, and it is difficult to maintain. Finally, we designed different data structures based on the different characteristics of the two parts, in the grid generation, more consideration is given to flexibility and maintainability, a method to determine the flux function through the boundary of a triangular mesh is given. This method first obtains the two-dimensional Euler equations in the normal direction of the boundary of the control volume element, in the system of projection equations, the flux along the tangent to the boundary can be regarded as passive convection, therefore, the one-dimensional Riemann problem solver can be directly used to calculate the flux function passing through the boundary of the triangular control unit. This method under various flow conditions, including supersonic pipe flow and subsonic isentropic flow with strong shock waves, all have high precision and good stability.

Based on the R language, the article designs two universal random simulation functions for the law of large numbers, LLN-mean and LLN-graph, used to calculate related variables and draw simulation graphs. At the same time, the law of large numbers is applied to children's education. At the same time, through correlation or correlation analysis, we can find the leading internal factors and highly correlated external factors of children's educational activities. This provides technical support for educational decision-making, educational management, and educational research. The study results found that the law of large numbers has a good test effect on the influencing factors of children's educational activities.

Because the current computer sensor data positioning analysis has positioning difficulties and false positioning problems, we use the Lagrangian multiplier method of the interactive direction to disassemble the computer sensor sound source. Through this algorithm, the information fusion of computer sensor nodes is realized. After using Lagrangian mathematical equations, these error correction measurements have achieved better target positioning results. Theoretical analysis and experimental results show that the algorithm improves the speed of computer sensor data association. To a certain extent, the correlation accuracy is improved.

This paper studies a combination forecasting model with strong adaptability and high dimension to evaluate value of patents, and verifies the model empirically in the research. Through the AHP analysis, five necessary factors that affect the value of patents are discovered, which come from both the characteristic factors of the patent itself and the institutional characteristic factors that attempt to transform the patent. We’ve constructed a state space model through some data that can already obtain the added value of its patent through the Hejun value evaluation model and deployed the state space model in the artificial intelligence data space to have the neural network training. Another part of the known data is used to empirically verify this model, and it is found that the data fits well. Not only can the model be used for patent conversion institutions to evaluate patents, but also for patent holders to evaluate patent conversion institutions.

Based on the strong classification feature recognition algorithm, the calculation algorithm of a text semantic similarity is studied with the performance evaluation in this paper. In order to achieve a general algorithm for this function, the semantic function library based on a semantic recognition code as a comparison object is designed. It drives the algorithm modules of two fuzzy neuron deep convolution machine learning, and between these two processes of machine learning, a rigid algorithm based on Fourier transform frequency domain feature is extracted. Finally, a more complex machine learning general algorithm is realized by the use of external data fuzzy algorithm and de-fuzzy algorithm before and after the algorithm module. It is also a technical innovation in this paper. Through the performance evaluation based on the subjective evaluation of volunteers, it is found that the system focuses on the text semantic similarity evaluation of the Chinese language, and achieves a comparison result of 81.78% of the artificial judgment accuracy rate, and only 5.52% of the volunteers believe that the system judgment result is completely different from that of manual judgment.

First, this paper uses the Lyapunov stability function to construct the time-space implicit calculus equation model of the integrated manufacturing of single-chip microcomputers for the abnormal diffusion phenomenon. Secondly, we use the differential data fusion algorithm modeling of the discrete manufacturing system and introduce the implicit calculus equation modeling method. Finally, the article uses the singular boundary method to give the simulation results. The study found that the implicit calculus equation modeling method is simpler than the existing model, and the physical and statistical concepts are clear.

The article uses mathematical theory to derive a quasi-linear differential equation describing the law of memory forgetting in psychology. The nonlinear automatic control machine model is used to preliminary model the indiscriminate memory problem in psychology. The research obtains the recommended evaluation value with the forgetting characteristics in memory psychology. The experimental results found that the model reasonably solves the problem of quantification of timeliness.

Based on the mathematical equation model of the analytic hierarchy process, the article designs a set of children's education curriculum scoring management systems. The article clarifies the content of health education curriculum evaluation through investigation and analysis. Optimize the structure of health education curriculum evaluation through continuous refinement of evaluation elements. The article applies the divergence and convergence method to establish secondary indicators through expert evaluation and finds out the problems of the existing children's education scoring management system through practical application. Finally, relevant opinions were put forward in response to the problem.

The current education system for preschool students has relatively small differences and cannot fully reflect the true mastery of students. The article designs a cognitive system for preschool students' educational scoring based on mathematical statistics. The article uses the attention vector and knowledge acceptance in children's teaching as a multi-scale convolution level to analyze the effect of education. The study results found that the evaluation system can analyze the quality of children's education while also considering children's learning emotions.

Sleeping postures are one of the indicators for judging sleep quality and preventing sudden diseases. The sleeping postures not only affect people's sleep quality but also has great significance for the diagnosis of apnea syndrome and bedsores. To realize and recognize the laying positions, this paper researches the regularized extreme learning (RELM) algorithm to analyze the pressure due to lying positions. Based on this algorithm first, the array pressure sensor is used to obtain the back lying posture pressure image, and the image is pre-processed to complete the extraction of multiple feature values (Geometric features, Energy features, and Colour features). Second, the multi-feature values are normalized and finally, these multi-feature values are trained and predicted by the RELM algorithm. In concluding this, the accuracy of lying posture recognition was the highest, achieving 98.75 percent, this is when 1120 datasets of feature values were used as training data and 160 sets as test data while the hidden nodes were 80. RELM algorithm can overcome the problems of extreme learning (ELM) algorithm, such as slow learning speed and local minimum value, and so on. Therefore, this method can be applied in the scenarios of lying posture recognition.

Targeted at the harmful effects of garment image retrieval at present, a new approach of garment image retrieval featured in satisfactory performance is proposed. In this study, the Grab Cut auto segmentation algorithm is applied first to segment garment images and extract the image's foreground. And then, the color coherence vector (CCV) and the dominant color method are adopted to extract the color features to conduct garment image retrieval. The experimental data show that the Grab Cut auto segmentation algorithm is capable of extracting the foreground of garment images with either simple or complex background. Meanwhile, the data also indicate that compared with the garment image retrieval by extracting color features using CCV, extracting color features by dominating color method shows both higher accuracy and recall rates.

The article uses ordinary differential to solve inhomogeneous equations by the constructivist learning concept. We use the equivalent equations to study the n-th order non-homogeneous linear ordinary differential equations with constant coefficients and get the method of solving this equation. Then we use the Filippov transformation and comparison theorem to prove the boundedness of all system trajectories. Numerical results show that the calculation formula is effective for solving stiff ordinary differential equations.

This article uses structural equation modeling (SEM) to analyze and study the factors affecting corporate financial risks. At the same time, the regression analysis model is used for risk warning. The empirical test effectively proves that the formation of corporate financial risk is closely related to the industry environment in which it is located. After estimating the model's parameters, it is found that monetary policy, enterprise-scale, market supply and marketing, and macroeconomic factors are the main factors that affect the financial risks of enterprises.

Aiming at the problems of image edge blur and detail loss in most image denoising models, an image denoising model based on improved fractional calculus is proposed. Through the classification of image noise, the integer order PDE model is discussed. Based on the mathematical theory of fractional calculus, the fractional PDE model is discussed. The model is improved by combining texture detection operator, gray value detection operator, smoothing factor and fast algorithm. The simulation experiment of the model is carried out based on MATLAB simulation platform. The results show that the improved model is significantly better than other comparison models in image denoising effect, and the operation efficiency is higher.

This article first uses the gray correlation analysis combined with the gravitational search algorithm model to model the time series linearly. In this way, the predicted value of the GEM stock price is obtained. The simulation analysis of the calculation example found that the average relative error of the prediction result of our proposed model is 0.095 and the operation efficiency is high.

Because civil engineering structures include stressed structural members and unstressed non-structural members, it isn't easy to obtain the true parameters of the model when modeling. The article uses a virtual reality fuzzy random modeling to establish a steel bearing force model in civil engineering operations. We determined the relevant bearing capacity parameters based on the corrosion of steel bars in civil engineering. The research found that the numerical simulation method determined in this paper has grasped the essence of stress rate, concrete material properties, and dynamic load effect to a considerable extent.