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Aiming at the prediction problem of fresh e-commerce industry, this paper attempts to combine the metabolic theory with the improved GM (1,1) power model. The article introduces the traditional GM (1,1) power model to enhance the adaptability of the model to the data series, and at the same time, a new parameter is introduced when constructing the background value, the background value is represented as a linear function of adjacent sequence points, and the form and solution method of the two specific models are given, with the goal of minimizing the average relative error, and the power exponential and new parameters are co-optimized by genetic algorithm. The optimal modeling dimension is determined through model testing, and on this basis, the metabolic GM (1,1,th,p) power model is established, and the model is applied to the prediction of the transaction scale of the fresh e-commerce industry. The results show that the improved GM (1,1) power model can significantly improve the fitting accuracy compared with the original model, and the metabolic GM(1,1,th,p) power model has good performance in the prediction problem of fresh e-commerce.

In this paper, the robot (humanoid robot) soccer activity is decomposed according to the process of Human-Robot football professional skill competition. This paper analyzes the shooting problem of robot in the forward range and outside the range of the door frame, applies it to the rotation angle of robot foot, and gives the mathematical model of linear motion through the force of the center of the ball. Then, the further research direction are discussed.

Let (), let with closed range. In this paper, utilizing the gap between closed subspaces and the perturbation bounds of metric projections, we present some new perturbation results of the Moore-Penrose metric generalized inverse. As applications of our results, we also investigate the best approximate solution problem for the ill-posed operator equation Tx=y under some conditions. The main results have three parts, part one covers the null space preserving case, part two covers the range preserving case, and part three covers the general case. Examples in connection with the theoretical results will be also presented. [ABSTRACT FROM AUTHOR]