Nonlinear Random Matrix-Based Intelligent Management Model for Swimming Place Waters

Abstract

In this paper, a nonlinear random matrix approach is used to analyze the management of swimming place waters, and in this way, an intelligent management model is designed and applied to the actual swimming place waters management. Firstly, some basic small deviation results of the random matrix are presented. Then, several types of small deviation inequalities are obtained for the maximum eigenvalues of independent stochastic semi-positive definite (PSD) matrices. These small deviation inequalities are independent of the matrix dimension, and the results apply to high-dimensional and even infinite-dimensional matrices. For the inverse eigenvalue problem of higher-order doubly random matrices, the conclusion that two symmetric doubly random matrices are combined into a higher-order symmetric doubly random matrix is proved. In other words, the method of constructing new symmetric random matrices using smaller matrices with known spectra is applied to the inverse eigenvalue problem of higher-order symmetric random matrices, and sufficient conditions for the existence of the solution of the inverse eigenvalue problem of higher-order random matrices are derived, avoiding the discussion of the parity of the number of eigenvalues. This paper focuses on realistic management, to explore the standardization of safety management of swimming venues, and is based on modern management theory, risk management theory and methods, using research integration method, fieldwork method, questionnaire survey method, expert interview method, and other research methods, detailing the methods and conclusions of risk identification in safety management of swimming venues, and further exploring the safety management standards of swimming venues on this basis. And, combined with risk management theory, depending on the probability of occurrence and the degree of harm of risk, four basic disposal methods such as risk avoidance, risk control, risk transfer, and risk self-retaining are proposed.

Swimming Movement Guidance Training System Based on OpenCL Technology

“…In the virtual swimming training simulation device, accurate and real-time detection of the position and posture of the set pieces can make the virtual swimming scene change according to the user's movement and head rotation, which is the key step to realize natural human-computer interaction [5]. The essence of pose detection is to obtain the corresponding relationship between the spatial coordinates of feature points and the image coordinates and then solve the conversion matrix between the object coordinate system and the camera coordinate system [6]. Among them, the acquisition of the image coordinates of feature points and the determination of the corresponding relationship are the focus of this research.…”