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Paper-cut elements in the design of boat space can effectively improve the homogenisation tendency of existing boat space design, effectively enhance the characteristics of traditional Chinese culture and enrich the development ideas of boat space design. Therefore, based on the Chinese folk art of paper cutting, this paper combines theoretical analysis and empirical research to deeply analyse the artistic expression of paper-cut elements in the spatial design of boats. This paper mainly studies the artistic integration of paper-cut elements in the decorative design of boats and the artistic integration of paper-cut elements in the practical design of boats. Through the calculation and analysis of the sparse autoencoder algorithm model, it can be seen that the decorative integration of paper-cut elements in wallpaper is 82%, which is higher than that of traditional materials (24%). The integration of paper-cut elements in the space design of cabins and guest rooms is as high as 97% and 94%, respectively, which is far better than the integration of traditional materials in the space design of cabins and guest rooms. This shows that the application of folk paper-cut elements to the space design of boats not only highlights the theme of boats but also enhances the cultural value of boats.

English is a universal language and is widely used. In order to deepen the cognition of language, this paper proposes to analyse the variation of metadiscourse verb patterns in English academic papers from within and between disciplines. By comparing the metadiscourse chunks used in various disciplines, it is concluded that there are obvious differences in the verb types of the subject papers. Analysing various identification algorithms of verb types, it is obtained that the combination of the word movement distance (WMD) model and the R&L density peak clustering algorithm is the best. Using the R&L density peak clustering, identification parameters are easy to determine, and when combined with the WMD model to calculate the similarity of words, it improve the accuracy of verb pattern clustering. By comparison, it is proved that the accuracy of the algorithm combining the WMD model and R&L density peak clustering reaches 30.06%, and the effect of identifying verb pattern variation is the best.

In order to conform to the development of the times and effectively promote the reform of vocal music education in colleges and universities, this paper proposes an innovative path of diversified vocal music education reform in colleges and universities under the modern advanced educational concepts that are steadily gaining utilisation and popular acceptance in China and the West. In this paper, the passive collective behaviour of biology is introduced in the teacher stage in the basic TLBO algorithm, and then the feedback stage is added after the student stage to increase the effectiveness of students’ learning methods, maintain the diversity of students and make available a system the deployment of which would swiftly bring students with poor grades to the attention of teachers; to this end, the algorithm is made to perform a local fine search, and the optimisation accuracy of the algorithm and its global search ability are improved. Finally, based on the numerical simulation of the standard test set and compared with the existing optimised TLOB algorithm, it is concluded that 92% of the solutions in the ETLBO are dominated or not dominated by the solutions in the non-dominated solution set of the optimised TLBO, while only 2% of the solutions in the non-dominated solution set of the optimised ETLBO are dominated by the non-dominated solutions of the TLBO. Centralised solutions dominate or do not dominate each other. It is concluded that the optimised TLBO algorithm has the best solution ability and also has practical application significance.

At present, the economic benefits of double inlet and double outlet ball mills, which are commonly used in coal-fired power plants, need to be improved. Based on this, this paper explores the factors influencing the output of double inlet and double outlet ball mill by establishing the output system of double inlet and double outlet ball mill. By analyzing the influence factors of the output of double inlet and double outlet ball mill, and combining with system dynamics, the dynamic model of double inlet and double outlet ball mill output system is established, and SPSS is used to fit the model data with the real data. The fitting degree is above 0.8, and the authenticity is high. The simulation results show that the impact energy of barrel grinding, the grinding powder fineness, and the pressure ratio in the ball mill affect the output of double inlet and double outlet ball mill according to certain relations. Finally, the research in this paper provides theoretical and technical support for improving the economic benefits of double inlet and double outlet ball mills.

This paper applies a powerful scheme, namely Bernoulli sub-equation function method, to some partial differential equations with high non-linearity. Many new travelling wave solutions, such as mixed dark-bright soliton, exponential and complex domain, are reported. Under a suitable choice of the values of parameters, wave behaviours of the results obtained in the paper – in terms of 2D, 3D and contour surfaces – are observed.

As the primary killer of health, the class of infectious diseases is the greatest threat to humanity. At present, international methods of studying the large-scale spatial transmission of sudden infectious diseases from the perspective of dynamics can be divided into two categories. On the one hand, top international biomedical and medical teams discuss the restraining effects of some prevention and control strategies on infectious diseases, such as smallpox, malaria, hand, foot and mouth disease and pandemic influenza, from the perspective of pragmatism. On the other hand, researchers in theoretical physics and network science tend to use compound population network models to explore the internal dynamic mechanism of spatial transmission of infectious diseases. This paper establishes a Lotka–Volterra dispersal predator–prey system in a patchy environment. It shows the existence of model boundary equilibria and asymptotic stability under an appropriate condition. This paper adopts the method of global Lyapunov function and the results of graph theory. We also consider a predator–prey dynamical model in a patchy environment, where the prey and predator individuals in each compartment can travel among n patches.

In this paper, an adjustable neural network model is developed to predict the physical training load of athletes. This paper takes 48 contestants as experimental subjects. Then the average speed prediction method, nonlinear regression model prediction method and neural network model prediction method model are established to predict the training load. This paper uses three different prediction models to compare the training results. The relative error rate calculated by the average rate prediction method is about 23%. The close error rate calculated by the linear regression method is about 32%. The relative error rate calculated by the adjustable neural network is around 8%. The e flexible neural network model has good prediction accuracy.

This paper applies a nonlinear differential equation to the information management system of college course selection. A teaching information management system based on an approximate learning strategy is presented by using statistical linearization technology. An imprecise controller is obtained by numerical simulation of Riccati differential equations with statistical linearization. This kind of Riccati differential equation differs significantly from the ordinary one. Then the system proposes a collaborative filtering method based on nonlinear differentiation based on student feature classification. At last, this paper systematically analyzes the differences between course selection systems, business recommendations, and student attributes—the system experiments on college students' choice of a learning platform. The study found that the method was correct 34.6% of the time. This system can provide practical guidance for students to choose courses.

In order to improve the ability of micromechanical sensors to update data-matching nodes in real-time and speed up the establishment of a neighbor relationship between nodes, this paper proposes a personalized recommendation algorithm for micromechanical sensors based on the cloud model to improve the stability and real-time performance of micromechanical sensors. The algorithm uses the service attribute values of the cloud computing model and cloud clustering method to set feature term labels and establish a cloud service similarity matrix so as to meet the user-matched manufacturing service requirements. The intra-class clustering technique is applied to measure the clustering effect, and the evaluation function of each clustering number is calculated on the basis of considering the time sequence to determine the best clustering result to complete the personalized recommendation path for micromechanical sensors. To verify the application effect of the personalized recommendation algorithm for micromechanical sensors based on the cloud model, experiments are conducted. The results show that the recommendation algorithm in this paper can always control the node energy consumption below 2.5×103, and the average discovery delay is stable between 41-43 seconds. And the sensor response time is 12.1 seconds, and the average absolute deviation value is 0.23, which is nearly 1.3 times smaller than 0.53 and 0.52 of the collaborative recommendation algorithm and hybrid recommendation algorithm. It can be seen that the recommendation algorithm in this paper solves the problem of excessive neighbor discovery delay in the communication process of micromechanical sensors and effectively improves the personalized recommendation performance of micromechanical sensors.

With the comprehensive promotion of “big data + energy”, new power network security threats are also more prominent, and the traditional security system mainly based on “protection” will face great challenges. Firstly, this paper proposes four kinds of network security situational awareness detection techniques based on distributed data analysis by combining the characteristics of big data in power networks. Secondly, the CRIT-LSTM power network security situational awareness model is constructed by improving its loss evaluation process using the cross entropy (CE) function and improving the LSTM unit structure using linear unit (ReLU). Finally, the performance of the three models is compared and analyzed under two aspects of neural network training and testing and various metrics to verify the models’ effectiveness. The results show that the improved CRIT-LSTM model based on deep learning, combining LSTM and ReLU algorithms, has an RMSE of 0.717 for the training set and 0.806 for the test set. 7.32% accuracy and 10.51% improvement in recall compared to the LSTM-only model. The power network security situational awareness model based on the CRIT-LSTM model proposed in this paper integrates various security system functions to maximize the defense against attacks and reduce unnecessary security risk losses.