rss_2.0Applied Mathematics and Nonlinear Sciences FeedSciendo RSS Feed for Applied Mathematics and Nonlinear Sciences Mathematics and Nonlinear Sciences 's Cover Incomplete Global GMERR Algorithm for Solving Sylvester Equation<abstract> <title style='display:none'>Abstract</title> <p>In this paper, the Incomplete Global GMERR algorithm and the Global GMERR algorithm are used to solve the Sylvester equation. The numerical experiment is given to compare the CPU run time and the number of iterations of the two methods.</p> </abstract>ARTICLE2021-02-03T00:00:00.000+00:00Wheelchair Size and Material Application in Human-machine System Model<abstract> <title style='display:none'>Abstract</title> <p>Based on investigation of existing folding wheelchairs’ usage, this paper analyzed wheelchair size and material in human-machine system model. The importance of new environmentally friendly materials’ application on wheelchair component producing in recent years was also explained. On the basis of strength and stiffness theory and calculation, applied materials were determined and rod mechanical calculation were carried out. The calculated results will have certain theoretical significance for wheelchair research and design.</p> </abstract>ARTICLE2021-02-15T00:00:00.000+00:00The art design of industrialised manufacturing furniture products based on the simulation of mathematical curves<abstract><title style='display:none'>Abstract</title><p>After a lot of literature reading and practical research, the paper uses the parametric modelling method of curve simulation characteristic line to establish the mathematical model of the furniture product leg shape. This article first uses the surface construction method to analyse the composition of the leg size of the industrialised production and manufacture of furniture products, and makes the solid modelling according to the construction method of non-uniform rational spline mathematical curve and surface simulation. At the same time, the parameter function of furniture leg type is set on SolidWorks, and the research results obtained in the paper are found by simulation, which opens up a new research path for the application of mathematical curve model in furniture design.</p></abstract>ARTICLE2021-09-24T00:00:00.000+00:00Statistical analysis of typical elevator accidents in China from 2002 to 2019<abstract><title style='display:none'>Abstract</title><p>By utilising data from official sources, a statistical analysis was made on the elevator accidents that occurred in China during the period 2002 to 2019 on five aspects namely elevator type, occurrence stage, casualty’s identity, accident type and accident causes. The main purpose is to use the frequency and correlation among related factors to evaluate crucial causes, and to prevent similar accidents among technicians and users. Based on the statistical results and discussion, some proposals were put forward to the management of the responsible authorities for accident investigation and prevention of similar elevator accidents in the future.</p></abstract>ARTICLE2021-08-25T00:00:00.000+00:00A comprehensive evaluation of county economies in the Beijing-Tianjin-Hebei Region based on entropy TOPSIS analysis<abstract><title style='display:none'>Abstract</title><p>Although the economy of a county that is linked to surrounding towns and rural areas constitutes a multiple basic economic unit within China's national economy, it usually exhibits independent characteristics and functions. Consequently, a county's economy plays a critical role in the overall economic development of a country's national economy. We created an evaluation index system based on entropy Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) to carry out a comprehensive evaluation of county economy across the entire Beijing-Tianjin-Hebei region. We found serious imbalances in the development of these counties, with county economies within Beijing and Tianjin being more advanced than those in Hebei Province. Furthermore, there were marked differences between county economies within prefecture-level cities of Hebei Province. The developmental level of counties in cities like Langfang, Tangshan and Chengde was relatively high. Conversely, the level of development of counties in Hengshui, Baoding, Xingtai and Handan was lower. Moreover, there were imbalances among cities in relation to county economic development, especially in Langfang, with smaller differences being found in Hengshui and Qinhuangdao. We analysed and identified the factors influencing differences between counties before providing recommendations.</p></abstract>ARTICLE2021-05-25T00:00:00.000+00:00Human Body Movement Coupling Model in Physical Education Class in the Educational Mathematical Equation of Reasonable Exercise Course<abstract><title style='display:none'>Abstract</title><p>In physical education class, the movement of the human body requires multiple joints to cooperate, and a multi-link system coupling is presented. In the teaching of physical education curriculum, the impact of the force received by students jumping up and down shows the characteristics of the non-linear system of physics and mathematics. Aiming at the movement process of jumping up and down, we established a joint mathematical equation model of the motion state of the human lower limb joints. We use a non-linear system to solve the mathematical model of the joint force coupling problem of the human body jumping up and down.</p></abstract>ARTICLE2021-07-27T00:00:00.000+00:00Characteristics of Mathematical Statistics Model of Student Emotion in College Physical Education<abstract><title style='display:none'>Abstract</title><p>The influence of learning emotions on learning behaviors in college physical education is directly reflected in learning efficiency. Based on this research background, the paper applies a mathematical, statistical model to structural equation modeling of the emotional situation of students in a school's physical education curriculum. The study results found that college students have lower positive emotional attitudes towards college physical education courses. Thus, students’ mood is affected by the. For this reason, we should eliminate students’ resistance and fear of college physical education courses and promptly correct students’ unhealthy learning emotions about college physical education courses. In this way, it helps students correct their negative feelings about college physical education courses.</p></abstract>ARTICLE2021-07-27T00:00:00.000+00:00Numerical Simulation Analysis Mathematics of Fluid Mechanics for Semiconductor Circuit Breaker<abstract><title style='display:none'>Abstract</title><p>The paper derives the current-voltage relationship in the semiconductor circuit breaker based on the equation of fluid mechanics which has application for safe and water access. Then, the paper proposes a Newton iterative method based on the finite element analysis method to solve the nonlinear algebraic equation relationship in the semiconductor circuit breaker. At the same time, the paper constructed a coupled numerical model based on the hydrodynamic equations and applied it to the pulse current prediction. Experiments have proved that the algorithm can realize large-scale open-circuit switching current forecast, and the algorithm has high efficiency and accuracy.</p></abstract>ARTICLE2021-07-27T00:00:00.000+00:00The Model of Sugar Metabolism and Exercise Energy Expenditure Based on Fractional Linear Regression Equation<abstract><title style='display:none'>Abstract</title><p>Carbohydrate metabolism can provide energy for human exercise. However, different exercise intensities will consume different amounts of energy. For this reason, the paper uses a fractional linear regression equation to study the characteristics of carbohydrate metabolism and energy consumption of other groups of human beings with the same oxygen consumption during exercise. In addition, the thesis measures energy consumption during exercise and body recovery by analyzing gas metabolism methods. As a result, we found that the sugar, fat metabolism, and energy consumption of heavier volunteers under the same exercise intensity were lower than those of regular weight volunteers. Thus, the fractional linear regression method can help us analyze the relationship between glucose metabolism and exercise energy.</p></abstract>ARTICLE2021-07-27T00:00:00.000+00:00Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation<abstract><title style='display:none'>Abstract</title><p>The digital and physical methods of establishing minimal curved surfaces are the basis for realizing the design of the minimal curved surface modeling structure. Based on this research background, the paper showed an artistic surface modeling method based on nonlinear over-limit difference equations. The article combines parameter optimization and 3D modeling methods to model the constructed surface modeling. The research found that the nonlinear out-of-limit difference equation proposed in the paper is more accurate than the standard fractional differential equation algorithm. For this reason, the method can be extended and applied to the design of artistic surface modeling.</p></abstract>ARTICLE2021-07-27T00:00:00.000+00:00Study on Establishment and Improvement Strategy of Aviation Equipment<abstract><title style='display:none'>Abstract</title><p>As a special commodity with high-tech characteristics required by national development, aviation equipment has the characteristics of confidentiality, long cycle and high risk during the production and research and development. Therefore, the supply chain of its manufacturing and research and development is the focus of national construction and development. On the basis of understanding the current development status of aviation equipment application, this paper analyzes its evaluation system and feedback basic mode through tree vector multiplication and X-0-1 determinant feedback basic mode calculation method, and puts forward corresponding improvement strategies in combination with specific contents, so as to ensure each interest subject to obtain more benefits at the same time. A new management method is proposed for the development of aviation equipment in the future.</p></abstract>ARTICLE2021-07-27T00:00:00.000+00:00Research on the Psychological Distribution Delay of Artificial Neural Network Based on the Analysis of Differential Equation by Inequality Expansion and Contraction Method<abstract><title style='display:none'>Abstract</title><p>This article first introduces neural networks and their characteristics. Based on a comparison of the structure and function of biological neurons and artificial neurons, it focuses on the structure, classification, activation rules, and learning rules of neural network models. Based on the existing literature, this article adds a distributed time lag term of the neural network system. In the actual problem, history has a very important influence on the current change situation, and it is not only at a specific time in the past. It has an impact on the current state change rate. Therefore, based on the existing literature that only has discrete time lags, this paper adds distributed time lags. Such neural network systems can better reflect real-world problems. In this paper, we use three different inequality scaling methods to study the existence, uniqueness, and global asymptotic stability of a class of neural network systems with mixed delays and uncertain parameters. First, using the principle of homeomorphism, a new upper-norm norm is introduced for the correlation matrix of the neural network, and enough conditions for the existence of unique equilibrium points in several neural network systems are given. Under these conditions, the appropriate Lyapunov is used. Krasovskii functional, we prove that the equilibrium point of the neural network system is globally robust and stable. Numerical experiments show that the stability conditions of the neural network system we obtained are feasible, and the conservativeness of the stability conditions of the neural network system is reduced. Finally, some applications and problems of neural network models in psychology are briefly discussed.</p></abstract>ARTICLE2021-07-27T00:00:00.000+00:00Research on Evaluation of Intercultural Competence of Civil Aviation College Students Based on Language Operator<abstract><title style='display:none'>Abstract</title><p>The latest “Guide to College English Teaching” lists cross-cultural education as an important part of college English courses. At the same time, ICAO ’s requirements for civil aviation pilots and controllers ’cross-cultural abilities increase year by year, which raises new requirements for the cultivation of cultural abilities. This article explores this subject from two aspects of cross-cultural psychology and cross-cultural behavior, using SPSS22.0 data analysis method and Delphi method to establish an evaluation model, which includes four first-level indicators: attitude, awareness, knowledge and skill. Attitude and consciousness evaluate cross-cultural psychology, and knowledge and skills evaluate cross-cultural behavior. Under the 4 first-level indicators, there are 6 second-level indicators and 17 third-level indicators. This paper uses the accuracy and convenience of language operators in the process of information conversion to transform fuzzy subjective qualitative analysis into quantitative analysis, and proposes a set of evaluation methods for cross-cultural competence based on language operators. At the same time, an empirical study was conducted with C University as an example. The statistical results show that the method has good applicability and scientificity for the evaluation of the cross-cultural competence of civil aviation college students.</p></abstract>ARTICLE2021-07-27T00:00:00.000+00:00Research on Financial Risk Early Warning of Listed Companies Based on Stochastic Effect Mode<abstract><title style='display:none'>Abstract</title><p>In the current era, the market competition is becoming increasingly fierce, complicated and unpredictable. Based on the interaction of various factors, the probability of financial risks of listed companies is significantly improved. Because of its unique characteristics, the listed companies’ operating status affects the overall operation of China’s market economy and occupies a fundamental position in the national economic system. If listed companies have financial risks, it will cause great trauma to our economy. Based on the financial risk evaluation theory of listed companies, this paper analyzes the financial indicators of listed companies through random effect model, and puts forward the risk analysis and prediction index system of listed companies from theoretical and empirical angles, thus constructing a financial risk early warning model based on linear random effect model, and studying the financial risk early warning of listed companies with practical cases. The research results show that the financial risk early warning model of random effect model is feasible and effective, which can help listed companies to carry out financial risk early warning management and improve financial management level.</p></abstract>ARTICLE2021-07-27T00:00:00.000+00:00Energy-saving design of office buildings considering light environment and thermal environment<abstract> <title style='display:none'>Abstract</title> <p>The energy consumption of office buildings is analysed, and the influential factors to be considered in architectural design that affect the light and heat environment of office buildings are summarised. The original building model was established by Ecotect, and variable methods were adopted to simulate the influence of different influencing factors on the light and thermal environment, and to quantitatively evaluate the importance of different factors on energy consumption of buildings. This analysis provides an important basis for optimised energy saving design, and finally puts forward the optimal design strategy for energy saving, so as to build harmonious light and heat architectural environment.</p> </abstract>ARTICLE2021-05-14T00:00:00.000+00:00Investigating the impacts of artificial intelligence technology on technological innovation from a patent perspective<abstract> <title style='display:none'>Abstract</title> <p>Artificial intelligence (AI) technology has been widely applied in various fields in recent years. Nevertheless, no systematic study has yet been conducted on the effects of AI technology on different fields. In this study, the impacts of the latest AI technology on technological innovation in different fields were analysed and quantized systematically from a patent perspective. Moreover, trends on AI technological innovation in some fields were analysed thoroughly. We conducted this study on a dataset of patents related to AI technology. Based on the patent dataset, we carried out a statistical analysis on technology fields, which we defined and classified based on international patent classification (IPC) number. Distributions of IPC in different fields were also analysed to determine the trends on AI technological innovation. The research conclusions can provide useful information to investors and enterprises, who are interested in the state of the art concerning AI technology.</p> </abstract>ARTICLE2021-03-19T00:00:00.000+00:00A prediction model of urban counterterrorism based on stochastic strategy<abstract> <title style='display:none'>Abstract</title> <p>With ever increasing complexity and intelligence of the modern cities, protecting key public facilities and important targets from any damage is a major challenge for the security sector. In all types of anti-terrorism prediction models, the prediction of attack behaviour is indispensable. Therefore, the attack behaviour model plays an important role in the anti-terrorism security system. This paper builds the attacker’s behaviour model, and carries out the prediction about the possible attack behaviour by the attacker model based on random strategy. According to the attack strategies, analysis and construction of the attack tree and attack graph are carried out based on the state-based stochastic model. The paper describes the security system in detail taking use of the state-based stochastic model method, so as to clarify the state distribution and the transfer relationship between the states of various security resources after threatened by attacks. At the same time, this paper applies the state-based stochastic model to establish the attacker model through the impact of attack on the security system.</p> </abstract>ARTICLE2021-05-25T00:00:00.000+00:00Research on style control in planning and designing small towns<abstract> <title style='display:none'>Abstract</title> <p>With the rapid development of extensive urbanisation in the pursuit of refined quality, the management and control of architectural features in small towns have become more and more prominent, especially in the period when the planning system is nearly complete. Most small towns are still in the low efficiency or lack of the environment has become an important obstacle to the inheritance of traditional architectural style and the shaping of individual characteristics in small towns. How to provide a refined, comprehensive and efficient building style management and control system for managers, planners and subsequent architectural designers is particularly important for reversing the current disadvantages of small town style management and control. This article is problem-centred and conducts in-depth analysis from the aspects of style control ideas and style division control, trying to find a practical way of urban style control, hoping to benefit the urban development in the modernisation boom.</p> </abstract>ARTICLE2020-12-31T00:00:00.000+00:00An algorithm of moving pieces to become black alternation with white based on dimension reduction<abstract> <title style='display:none'>Abstract</title> <p>Moving pieces to become black alternation with white (MPBBAW)is a game in which black and white pieces are continuously arranged by moving. This article traces the problem of MPBBAW and points out the possibility and necessity of computer calculation and commercial application of the problem. Using the non- recursive algorithm based on dimensionality reduction, this article deals with the problem of n-order MPBBAW. The special-order problem is solved and resubstituted. Thus, the computer processing and rule exploration of n-order and n-order MPBBAW are realised. As an auxiliary card, C++ is used to provide 20 black and 20 white pieces as an example. This article lays a foundation for the computer calculation and commercial application of MPBBAW.</p> </abstract>ARTICLE2021-04-09T00:00:00.000+00:00Attribute Reduction Method Based on Sample Extraction and Priority<abstract> <title style='display:none'>Abstract</title> <p>Attribute reduction is a key issue in the research of rough sets. Aiming at the shortcoming of attribute reduction algorithm based on discernibility matrix, an attribute reduction method based on sample extraction and priority is presented. Firstly, equivalence classes are divided using quick sort for computing compressed decision table. Secondly, important samples are extracted from compressed decision table using iterative self-organizing data analysis technique algorithm(ISODATA). Finally, attribute reduction of sample decision table is conducted based on the concept of priority. Experimental results show that the attribute reduction method based on sample extraction and priority can significantly reduce the overall execution time and improve the reduction efficiency.</p> </abstract>ARTICLE2021-04-12T00:00:00.000+00:00en-us-1