This article uses the calculus method and three-dimensional analysis system to photograph and analyse the action techniques of China's famous basketball players’ shooting training. Combining with the action technical parameters of outstanding male basketball players at home and abroad, this article analyses several main basketball players’ shooting training actions. Quantitative analysis of the calculus method was carried out in the technical link, and the problems existing in the basketball player's movement technology were found. Further, from the comparison of the physical fitness of excellent athletes, the reasons for the gap between the level of basketball in China and the world were discovered, and the physical quality of excellent male basketball players was established. Level evaluation models and standards provide a reliable guarantee for accurately grasping the development of athletes’ physical fitness, clarifying the status of each physical fitness in training, optimally controlling the basketball training process, and achieving scientific basketball training.

#### Keywords

- basketball technical analysis
- shooting training
- calculus method
- evaluation model
- kinematic parameters
- physical fitness

#### MSC 2010

- 62J12

To a certain extent, the competition of modern sports is a competition of science and technology. Due to the intervention of modern technology and its wide application in sports, the functional potential of the human body has been maximised and fully tapped, and modern technology is updated. To improve the quality of sports, modern scientific and technological aspects are used to engage in scientific sports training; it is extremely important for improving athletes’ sports skills, improving the level of various special sports, improving the effects of sports training, and creating excellent sports results in a short time. profound impact. The three-dimensional analysis method of sports biomechanics is used to test the shooting skills of the outstanding Chinese male basketball players to obtain various kinematics and dynamics parameters when the athletes are shooting a basketball and to make quantitative analyses and analyse several main links of the shooting technology in time. An evaluation is done based on sports’ technical characteristics and action elements that are conducive to enhancing the performance of the event, helping athletes to establish an understanding of their own shooting techniques, optimising the understanding of the technique mode, and improving effective sports training methods and sports training effects.

The basketball event is one of the most technically complex events in track and field. The complete basketball shooting technique includes four parts: pre-swing, rotation, final exertion and shot. Among them, the rotation technique occupies a very important position in the complete basketball shooting technique. Studies have shown that the speed of the basketball running at the end of the rotation can reach about the speed of the final shot. Studies have shown that basketball spinning technique is the primary factor that affects the performance of outstanding male basketball players in my country. With the development of basketball shooting skills, athletes must make three or four turns with the ball before the final exertion. During the spinning process, on the one hand, it is necessary to overcome the centrifugal force generated by the high-speed basketball running, and on the other hand, to maintain the correctness of technology and direction. Therefore, in the complete basketball shooting technique, rotation is the most complicated technical link. According to literature reports, the development of high-level basketball players’ spin technology in the world today is high spin speed, fast action rhythm, short spin time in each circle, and the time of single support stage is shorter than double support stage [1].

This article mainly focuses on the shooting and image analysis of basketball players’ six shooting techniques on the year, month and day, and selects more reference objects as a comparison to find the reasons from the physical fitness and special ability.

The main idea of this paper is to quantitatively calculate the impact of hand speed, shooting angle, and shooting height on the basketball shooting height, to determine the focus of the subsequent kinematic parameter analysis, that is, shooting speed. A three-dimensional photography is used to shoot and analyse the technical movements of basketball players. The method of comparative analysis explores the gap between basketball players and excellent athletes at home and abroad in terms of the factors that affect the shooting speed. The technical gap is largely derived from physical fitness and special ability. This article has conducted a detailed analysis and has targeted to establish the main index system, evaluation model and implementation plan of basketball player training [2].

Two panasonic high-speed sync cameras made in Japan were used to film the six shots of the outstanding basketball players in Jiangxi Province. Both cameras are equipped with a sync signal generator device and an external recognition sync device voice baton. Before shooting, the body is fixed, and the positions of the two cameras are shown in Figure 1. It is particularly pointed out that we lacked experience in camera installation at the time of shooting, and so it caused us a lot of trouble in analysis. The correct installation should done in the shooting. At the back of the direction, the other one is erected on the left side of the shooting direction. The main optical axis of the two cameras is 90 facing the basketball shooting circle, which can reduce the workload during analysis. The height of the camera is 1.20 m, and the distance between the two cameras and the centre of the shooting circle is 15 cm. When shooting, the actual shooting frequency is calculated by the internal time scale to be 25 frames, and the exposure time is 1/250 s. The shooting action is from the start of the pre-swing to the shot. The whole process. There were 8 effective shots on the scene, including six male basketball players, all of which were successful. When parsing, one frame is divided into two fields, so the time of each field is 1/50 s.

At the same time, the image analysis of the basketball shooting technique of players was carried out on the original American Arie13D analysis system introduced by the Sports Biomechanics Laboratory of Hubei University. During the analysis of the system, 25 joint points of the human body plus instrument points and a static reference point were measured for a total of 27 points. In this paper, digital low-pass filtering and smoothing is performed on the raw data of each joint and equipment, and the required research data and indicators such as related angle and line are calculated. Using frame-by-frame analysis, the motion analysis starts from the pre-swing to the whole process. On average, 118 frames are analysed per shot.

The biomechanical evaluation of movement techniques mainly reveals the basic laws of motion and assesses the pros and cons of movement techniques. The evaluation is usually carried out based on three aspects – compare and analyse the test results of the research object with the movement technical parameters of outstanding athletes to find out the technical existence gap, analyze the main reasons for the gap, and solve it in sports practice. For the test results, statistical methods are used for statistical calculations, and the characteristics, laws and technical standards of the technology are obtained. Using the relevant principles of sports biomechanics, combined with the specific form of the action and kinematic parameters, the rationality and actual effect of the action are explained. Through the Ariel 3D image analysis system to analyse the three-dimensional image of the basketball player's shooting action, the selected technical diagnostic indicators mainly include the final shot parameters, the shot speed, angle and height. Through the three-dimensional analysis of the basketball shot time, the basketball shot speed, angle and height are obtained. The time parameters of single, double support phases and ratio time parameters are obtained by counting the number of image frames in each action phase and multiplying the number of image frames with the time of each image taken, and the product is the action time. The time taken for each image to be taken is the inverse of the shooting frequency [3].

The main task of basketball shooting is to make the basketball get a spinning speed through the rotation of the players, and throw the basketball along the tangential direction in the final force stage. Athletes who want to achieve the maximum height must be required to create the best conditions for the basketball's force during the entire shooting process so that the basketball can obtain the maximum shooting speed [4]. The distance of basketball movement mainly includes the distance before the shot and the distance after the shot. The basic elements are shown in Figure 2.

After the basketball is shot, it is only affected by gravity when flying in the air, so it makes a projectile motion. In the parabolic motion, the object moves in a straight line at a constant speed in the horizontal direction and a vertical throwing motion in the vertical direction. The basic motion law is as follows.

The equation that can be solved by Eq. (2) is substituted into Eq. (1), and the calculation formula for height can be obtained

Basketball performance mainly depends on the distance after the shot. From the height calculation formula, it can be seen that the factors that affect the height of the basketball are mainly shot speed, shot angle and shot height. The order of the degree of influence of each influencing factor on the height is that the shot speed is the first influencing factor, followed by the shot angle, and then the shot height. To be able to determine how much influence each influencing factor has on the height from a numerical point of view, we will calculate the influence of the hand speed, the influence of the shooting angle and the influence of the shooting angle respectively [5].

When the shooting angle is 41 and the shooting height is 1.5 m, the corresponding basketball flying height. From the calculation results, the speed of the shot has a great influence on sports performance. When the shooting speed is 15 m/s, the shooting height is only >24 m. The actual shooting speed of an excellent basketball player is between 26 m/s and 30 m/s. When the shooting speed is 26 m/s, the shooting height can reach about 70 m, and the shooting speed is 28 m/s. The shooting height can reach about 81 m when the shooting speed is 30 m/s, and the shooting height can reach about 93 m. Therefore, the key to improving athletic performance is to increase the speed of basketball shots. So with the increase of shooting speed, what is the change of basketball shooting height? In Excel, we make a diagram of the relationship between shooting speed and shooting height. Among them, the X coordinate represents the speed change, and the Y coordinate represents the height change. We can see that the change of height and the change of shooting speed are nonlinear. With the increase of shooting speed, the height shows an accelerating trend. This further proves the importance of athletes to improve shooting speed in basketball as shown in Figure 3.

The increase in the initial speed of the shot depends to a large extent on the acceleration of the athlete's rotation speed, and people can only spin the ball faster. At present, the world's outstanding basketball players’ basketball shots spin faster and faster, and even some athletes lose a certain amount of rotation in exchange for an increase in speed. A survey of track and field competitions in the Eighth National Games group shows that most basketball players in my country have relatively standardised skills, but the rotation speed is low, the rhythm is slow, and there is no sense of acceleration [6]. On the other hand, when the world's elite basketball players shoot, the rotation speed of four laps is faster than one lap, and the acceleration is particularly obvious, as shown in Table 1.

Training results of some Chinese athletes.

A | 2.5 |

B | 2.1 |

C | 2.6 |

D | 2.4 |

E | 2.5 |

F | 2.3 |

G | 2.4 |

H | 2.7 |

AVG | 2.4375 |

When the shooting speed and shooting height are fixed, the trajectory of the parabolic flight is different for different shooting angles, and the basketball flying height is also quite different. Figure 4 shows the parabola trajectory of different shooting angles and the relationship between the shooting angle and the basketball flying height.

From the calculation results, the shooting angle also has a certain impact on sports performance. When the shooting speed is 30°, the shooting height is about 67 m. The actual shooting speed of an excellent basketball player is between 38 and 44 when the shooting angle is 38°. The hourly shooting height can reach about 74 m, when the shooting angle is 40°, the shooting height can reach about 75 m, and when the shooting angle is 44°, the shooting height can reach 76 m. When the shooting angle increased from 38° to 44°, the height only increased from 74 m to >75 m, and the difference was <2 m. Therefore, the impact of shooting angle on height is much smaller than the impact of shooting speed on height. At the same time, it can be seen that 45° means that the altitude has dropped. There is no need to continue to calculate downwards. After 45°, with the increase of the angle, the flight altitude has dropped significantly. Therefore, athletes must control the shooting angle at 45° during the shooting process, which is more powerful. Therefore, athletes must control the shooting angle within ‘in the process of shooting [7]. It can be seen from the above table that at 30–44, as the shooting angle increases, the shooting height increases, so whether 44° is the maximum Good shot angle. The following uses mathematics to further discuss the method of function extremum:

From Figure 5 above, it can be seen that when

The first problem is to find the objective function. Generally, if the throw point is high, _{0},

This is a formula whose independent variable is X and

This is a very complicated equation about

Take the value of [0, 45, 90] calculation, Q1, Q2, and Q3 respectively, then

Taking the following is the effect of the shooting height on the shooting height, assuming the shooting speed is 27 m/s and the shooting angle is 44, the shooting height corresponding to 1.2–2.2 m is calculated. The above results show that as the shooting height increases, the basketball shooting height is increased. The increase in the basketball shooting height is mainly through increasing the shooting angle. The above calculation shows that increasing the shooting angle has a good effect on increasing the shooting height. For this reason, we recommend sports practice. Based on the existing ‘left and right shot angles, the angle of shots is appropriately increased, and the angle of shots depends on the inclination of the swivel slope in the last lap of the basketball. It is necessary to study the inclination of the swivel slope in basketball. The effect of the height of the shot on the height of the basketball shot is relatively small [8].

The ultimate goal of research on basketball skills and athletes’ physical conditions, physical fitness, and special abilities is to help coaches find problems in sports training so that they can be solved in sports practice and improve athletes’ sports performance. The establishment of evaluation models and evaluation standards of test indicators can effectively grasp the development speed and range of athletes’ sports performance, which can make our sports training more targeted and improve the scientific nature of sports training. Therefore, conducting this part of the research is very meaningful work [9].

Establishing an evaluation model can not only predict the sports performance that athletes should achieve based on the main physical fitness indicators of the athletes in each training stage, but also check and evaluate the physical fitness development status of the athletes based on the sports performance, and comprehensively and systematically evaluate the main physical fitness Diagnosis of quality, clarify which indicators have met the requirements, which indicators need to be improved, so as to regulate the training process and improve the training effect. The establishment of a physical fitness development level evaluation model can also evaluate the athlete's technical level. If the result calculated by the model is higher than the competition result, it indicates that the athlete's technical level is basically adapted to the level of physical fitness development. If the estimated result is lower than the competition result, the athlete's technical level is good [10].

First, establish the evaluation model of the multiple regression equation. Take basketball performance as the dependent variable (Y), and use the above 6 indicators as independent variables (_{1}, _{2}, _{3}, _{4}, _{5}, _{6}) to establish a multiple regression model. The basic expression of the equation is

Secondly, verify the significance of the regression equation. Calculated variance F = 6.3105, significance F < 0.05, indicating that the establishment of the multiple regression equation has significant significance. _{y}_{y}

To predict sports performance more conveniently, we convert various indicators into corresponding scores and develop evaluation scales. First of all, the number of indicators is infinitely rigid, and the standard score method is used to formulate a scoring scale to comprehensively evaluate the physical fitness of the athletes and calculate their performance. The scoring scale is formulated with the average value of each indicator as the reference value, and the interval of 1/2 standard deviation is used to establish the grades of each indicator, a total of 20 grades, and the grades of each indicator correspond to 1–20 standard points, and the evaluation mode is established. Chart [11].

First, check the corresponding evaluation scale according to the evaluation index data of each athlete in the sample, and get the corresponding standard score, and then calculate the average value M of each standard score according to the formula, and then calculate the average and standard deviation of the M value. Determine the standard score interval value of each evaluation grade according to the method of mean standard deviation. To predict sports performance, after checking the standard score _{i}

The sports performance is also divided into 20 grades. The theoretical prediction of each person's performance is to use the average of his 6 index standard scores to infer sports performance.

Various physical qualities promote each other and restrict each other. Excessive development of a certain power quality must suppress the development of other power qualities, and the most effective connection between various power qualities will also be destroyed. Therefore, maintaining a balanced and coordinated development of various strength qualities is very important for improving the overall effect of strength training. To assess the balance of the strength of basketball players, we use the extremely poor method proposed by the former Soviet Union Krisel to test and evaluate. Range calculation formula. In the evaluation, the value is smaller or tends to 0, indicating that the athlete's physical fitness development level is more balanced, and there is no obvious weakness. The larger the value, indicating that the development of various physical fitness is more uneven, and training should focus on improving the level of weaknesses to effectively improve the overall level of physical fitness.

Starting from the basic motion law of the projectile, this article uses mathematical methods to calculate the impact of the shooting speed, shooting angle, and shooting height on the basketball flying height. The mathematical calculation results are consistent with the practical results. The research results show that the shooting speed affects the basketball movement. The key factor of performance, so improving the shooting speed of basketball should be the focus of this research. The theoretical calculation of the best shooting angle of basketball is about 44, while the actual shooting angle of the athletes is 41°. The height of the left and right shots has little effect on basketball performance.

#### Training results of some Chinese athletes.

A | 2.5 |

B | 2.1 |

C | 2.6 |

D | 2.4 |

E | 2.5 |

F | 2.3 |

G | 2.4 |

H | 2.7 |

AVG | 2.4375 |

Law of interest rate changes in financial markets based on the differential equation model of liquidity Basalt fibre continuous reinforcement composite pavement reinforcement design based on finite element model Industrial transfer and regional economy coordination based on multiple regression model Response model for the psychological education of college students based on non-linear finite element equations Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix Analysis of the relationship between industrial agglomeration and regional economic growth based on the multi-objective optimisation model Constraint effect of enterprise productivity based on constrained form variational computing The impact of urban expansion in Beijing and Metropolitan Area urban heat Island from 1999 to 2019 Ultrasonic wave promoting ice melt in ice storage tank based on polynomial fitting calculation model Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations Badminton players’ trajectory under numerical calculation method Innovations to Attribute Reduction of Covering Decision System Based on Conditional Information Entropy Nonlinear Differential Equations in the Teaching Model of Educational Informatisation The evaluation of college students’ innovation and entrepreneurship ability based on nonlinear model Smart Communities to Reduce Earthquake Damage: A Case Study in Xinheyuan, China Institutional investor company social responsibility report and company performance Mathematical analysis of China's birth rate and research on the urgency of deepening the reform of art education First-principles calculations of magnetic and mechanical properties of Fe-based nanocrystalline alloy Fe _{80}Si_{10}Nb_{6}B_{2}Cu_{2}Has the belt and road initiative boosted the resident consumption in cities along the domestic route? – evidence from credit card consumption Attitude control for the rigid spacecraft with the improved extended state observer Cognitive Computational Model Using Machine Learning Algorithm in Artificial Intelligence Environment Research on tourism income index based on ordinary differential mathematical equation Application of Higher-Order Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Sports Science Teaching of Athletics Based on Nonlinear Mathematical Equation Informatisation of educational reform based on fractional differential equations Research on the control of quantitative economic management variables under the numerical method based on stochastic ordinary differential equations Network monitoring and processing accuracy of big data acquisition based on mathematical model of fractional differential equation System dynamics model of output of ball mill Sensitivity Analysis of the Waterproof Performance of Elastic Rubber Gasket in Shield Tunnel Design of Morlet wavelet neural network to solve the non-linear influenza disease system Motion about equilibrium points in the Jupiter-Europa system with oblateness Badminton players’ trajectory under numerical calculation method Optimal preview repetitive control for impulse-free continuous-time descriptor systems Development of main functional modules for MVB and its application in rail transit Study on the impact of forest fire prevention policy on the health of forest resources Value Creation of Real Estate Company Spin-off Property Service Company Listing Selection by differential mortality rates Digital model creation and image meticulous processing based on variational partial differential equation The modelling and implementation of the virtual 3D animation scene based on the geometric centre-of-mass algorithm The policy efficiency evaluation of the Beijing–Tianjin–Hebei regional government guidance fund based on the entropy method The transfer of stylised artistic images in eye movement experiments based on fuzzy differential equations Research on behavioural differences in the processing of tenant listing information: An eye-movement experiment A review of the treatment techniques of VOC Some classes of complete permutation polynomials in the form of ( x ^{pm}−x +δ )^{s}+ax ^{pm}+bx overF _{p2m}Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method The consistency method of linguistic information and other four preference information in group decision-making Research on the willingness of Forest Land’s Management Rights transfer under the Beijing Forestry Development A mathematical model of the fractional differential method for structural design dynamics simulation of lower limb force movement step structure based on Sanda movement Numerical calculation and study of differential equations of muscle movement velocity based on martial articulation body ligament tension Study on the maximum value of flight distance based on the fractional differential equation for calculating the best path of shot put Sports intensity and energy consumption based on fractional linear regression equation Translog function in government development of low-carbon economy Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations Research on the Psychological Distribution Delay of Artificial Neural Network Based on the Analysis of Differential Equation by Inequality Expansion and Contraction Method Study on Establishment and Improvement Strategy of Aviation Equipment Research on Financial Risk Early Warning of Listed Companies Based on Stochastic Effect Mode The Model of Sugar Metabolism and Exercise Energy Expenditure Based on Fractional Linear Regression Equation Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation Numerical Simulation Analysis Mathematics of Fluid Mechanics for Semiconductor Circuit Breaker Characteristics of Mathematical Statistics Model of Student Emotion in College Physical Education Human Body Movement Coupling Model in Physical Education Class in the Educational Mathematical Equation of Reasonable Exercise Course The contribution of structural equation model analysis to higher education agglomeration and innovation and entrepreneurship Study on the evolutionary game theory of the psychological choice for online purchase of fresh produce under replicator dynamics formula The influence of X fuzzy mathematics method in basketball tactics scoring Mathematical statistics algorithm in the bending performance test of corroded reinforced concrete beams under fatigue load Nonlinear strategic human resource management based on organisational mathematical model Back propagation mathematical model for stock price prediction Evolutionary game research on the psychological choice of online shopping of fresh agricultural products based on dynamic simulation model Differential equation model of financial market stability based on big data Multi-attribute decision-making methods based on normal random variables in supply chain risk management Linear fractional differential equations in bank resource allocation and financial risk management model Construction and reform of art design teaching mode under the background of the integration of non-linear equations and the internet Spatial–temporal graph neural network based on node attention A contrastive study on the production of double vowels in Mandarin Financial accounting measurement model based on numerical analysis of rigid normal differential equation and rigid generalised functional equation Research of cascade averaging control in hydraulic equilibrium regulation of heating pipe network Mathematical analysis of civil litigation and empirical research of corporate governance Health monitoring of Bridges based on multifractal theory College students’ innovation and entrepreneurship ability based on nonlinear model Health status diagnosis of the bridges based on multi-fractal de-trend fluctuation analysis Mathematical simulation analysis of optimal testing of shot puter's throwing path Performance evaluation of college laboratories based on fusion of decision tree and BP neural network Application and risk assessment of the energy performance contracting model in energy conservation of public buildings The term structure of economic management rate under the parameter analysis of the estimation model based on common differential equation Sensitivity analysis of design parameters of envelope enclosure performance in the dry-hot and dry-cold areas The Spatial Form of Digital Nonlinear Landscape Architecture Design Based on Computer Big Data The improvement of museum information flow based on paste functional mapping method The art design of industrialised manufacturing furniture products based on the simulation of mathematical curves TOPSIS missile target selection method supported by the posterior probability of target recognition Research on Evaluation of Intercultural Competence of Civil Aviation College Students Based on Language Operator The incentive contract of subject librarians in university library under the non-linear task importance Modelling and Simulation of Collaborative Innovation System in Colleges and Universities Based on Interpreted Structural Equation Model Small amplitude periodic solution of Hopf Bifurcation Theorem for fractional differential equations of balance point in group competitive martial arts The Optimal Solution of Feature Decomposition Based on the Mathematical Model of Nonlinear Landscape Garden Features Composite mechanical performance of prefabricated concrete based on hysteresis curve equation Higher education innovation and reform model based on hierarchical probit Application of Fuzzy Mathematics Calculation in Quantitative Evaluation of Students’ Performance of Basketball Jump Shot The teaching of sports science of track and field-based on nonlinear mathematical equations Visual error correction of continuous aerobics action images based on graph difference function Ecological balance model of effective utilization of agricultural water resources based on fractional differential equations Application of Higher Order Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Precision algorithms in second-order fractional differential equations Application of Forced Modulation Function Mathematical Model in the Characteristic Research of Reflective Intensity Fibre Sensors Fractional differential equations in National Sports Training in Colleges and Universities Radioactive source search problem and optimisation model based on meta-heuristic algorithm Visualized calculation of regional power grid power data based on multiple linear regression equation Application of mathematical probabilistic statistical model of base – FFCA financial data processing Least-squares method and deep learning in the identification and analysis of name-plates of power equipment Research on a method of completeness index based on complex model Distribution network monitoring and management system based on intelligent recognition and judgement Fake online review recognition algorithm and optimisation research based on deep learning Research on the sustainable development and renewal of Macao inner harbour under the background of digitisation Support design of main retracement passage in fully mechanised coal mining face based on numerical simulation Study on the crushing mechanism and parameters of the two-flow crusher Topological optimisation technology of gravity dam section structure based on ANSYS partial differential equation operation Interaction design of financial insurance products under the Era of AIoT Modeling the pathway of breast cancer in the Middle East Corporate social responsibility fulfilment, product-market competition and debt risk: Evidence from China ARMA analysis of the green innovation technology of core enterprises under the ecosystem – Time series data Reconstruction of multimodal aesthetic critical discourse analysis framework Image design and interaction technology based on Fourier inverse transform What does students’ experience of e-portfolios suggest Research on China interregional industrial transformation slowdown and influencing factors of industrial transformation based on numerical simulation The medical health venture capital network community structure, information dissemination and the cognitive proximity The optimal model of employment and entrepreneurship models in colleges and universities based on probability theory and statistics A generative design method of building layout generated by path Analysis of the causes of the influence of the industrial economy on the social economy based on multiple linear regression equation Research of neural network for weld penetration control Analysing the action techniques of basketball players’ shooting training using calculus method Engineering project management based on multiple regression equation and building information modelling technology Research on predictive control of students’ performance in PE classes based on the mathematical model of multiple linear regression equation Beam control method for multi-array antennas based on improved genetic algorithm The influence of X fuzzy mathematical method on basketball tactics scoring Mathematical model of back propagation for stock price forecasting Application of regression function model based on panel data in bank resource allocation financial risk management Application of Logical Regression Function Model in Credit Business of Commercial Banks Research on aerobics training posture motion capture based on mathematical similarity matching statistical analysis Application of Sobolev-Volterra projection and finite element numerical analysis of integral differential equations in modern art design Research on motion capture of dance training pose based on statistical analysis of mathematical similarity matching Application of B-theory for numerical method of functional differential equations in the analysis of fair value in financial accounting Research on the influence of fuzzy mathematics simulation model in the development of Wushu market Study on audio-visual family restoration of children with mental disorders based on the mathematical model of fuzzy comprehensive evaluation of differential equation Difference-in-differences test for micro effect of technological finance cooperation pilot in China Application of multi-attribute decision-making methods based on normal random variables in supply chain risk management Exploration on the collaborative relationship between government, industry, and university from the perspective of collaborative innovation The impact of financial repression on manufacturing upgrade based on fractional Fourier transform and probability AtanK-A New SVM Kernel for Classification Validity and reliability analysis of the Chinese version of planned happenstance career inventory based on mathematical statistics Visual positioning system for marine industrial robot assembly based on complex variable function Application of Lane-Emden differential equation numerical method in fair value analysis of financial accounting Regression function model in risk management of bank resource allocation Application of numerical method of functional differential equations in fair value of financial accounting Optimal solution of fractional differential equations in solving the relief of college students’ mental obstacles Risk contagion in financial markets based on copula model Calculating university education model based on finite element fractional differential equations and macro-control analysis Automatic parameter selection ZVD shaping algorithm for crane vibration suppression based on particle swarm optimisation Educational research on mathematics differential equation to simulate the model of children's mental health prevention and control system Analysis of enterprise management technology and innovation based on multilinear regression model Verifying the validity of the whole person model of mental health education activities in colleges based on differential equation RETRACTION NOTE Calculation of tourism development income index based on finite element ordinary differential mathematical equation Adoption of deep learning Markov model combined with copula function in portfolio risk measurement Radar system simulation and non-Gaussian mathematical model under virtual reality technology Comparison of compression estimations under the penalty functions of different violent crimes on campus through deep learning and linear spatial autoregressive models Research and application of constructing football training linear programming based on multiple linear regression equation Research on management evaluation of enterprise sales cash flow percentage method based on the application of quadratic linear regression equations Mathematical simulation analysis of optimal detection of shot-putters’ best path Determination of the minimum distance between vibration source and fibre under existing optical vibration signals: a study Mathematical modelling of enterprise financial risk assessment based on risk conduction model Nonlinear differential equations based on the B-S-M model in the pricing of derivatives in financial markets Mathematical simulation experiment based on optimisation of heat treatment process of aluminium alloy materials Mathematical model of transforming image elements to structured data based on BP neural network Educational reform informatisation based on fractional differential equation 3D Mathematical Modelling Technology in Visual Rehearsal System of Sports Dance MCM of Student’s Physical Health Based on Mathematical Cone Sports health quantification method and system implementation based on multiple thermal physiology simulation Research on visual optimization design of machine–machine interface for mechanical industrial equipment based on nonlinear partial equations Informationisation of teaching model for track and field education based on finite element higher-order fractional differential equation Information technology of preschool education reform of fine arts based on fractional differential equation Information Teaching Model of Preschool Art Education in Colleges and Universities Based on Finite Element Higher-Order Fractional Differential Equation Application of artificial intelligence algorithm in mathematical modelling and solving College Students’ Mental Health Climbing Consumption Model Based on Nonlinear Differential Equations Communication architecture of power monitoring system based on incidence matrix model Differential equation to verify the validity of the model of the whole-person mental health education activity in Universities Optimisation of Modelling of Finite Element Differential Equations with Modern Art Design Theory Analysis and Prediction of College Students’ Mental Health Based on K-means Clustering Algorithm Mathematical function data model analysis and synthesis system based on short-term human movement Human gait modelling and tracking based on motion functionalisation Analysis and synthesis of function data of human movement Energy-saving technology of BIM green buildings using fractional differential equation Study on the training model of football movement trajectory drop point based on fractional differential equation Financial Accounting Measurement Model Based on Numerical Analysis of Rigid Normal Differential Equation and Rigid Functional Equation User online consumption behaviour based on fractional differential equation Differential equation model of financial market stability based on Internet big data Multi-attribute Decision Method Based on Normal Random Variable in Economic Management Risk Control Children’s cognitive function and mental health based on finite element nonlinear mathematical model Dichotomy model based on the finite element differential equation in the educational informatisation teaching reform model Nonlinear Dissipative System Mathematical Equations in the Multi-regression Model of Information-based Teaching Stock price analysis based on the research of multiple linear regression macroeconomic variables Fractional Linear Regression Equation in Agricultural Disaster Assessment Model Based on Geographic Information System Analysis Technology