In the field of education such as elementary and middle schools, teachers want to take care of schoolchildren during physical trainings and after-school club activities. On the other hand, in the field of sports such as professional and national-level sports, physical or technical trainers want to manage the health, physical and physiological conditions of athletes during exercise trainings in the grounds. In this way, it is required to monitor vital signs for persons during exercises, however, there are several technical problems to be solved in its realization. In this paper, we present the importance and necessity of vital monitoring for persons during exercises, and to make it possible periodically, reliably and in real-time, we present the solutions which we have so far worked out and point out remaining technical challenges in terms of vital/physical sensing, wireless transmission and human interface.

In this paper, we consider an automatic warehouse, in which rc-k palettes are arranged two-dimensionally on a grid with r rows c columns. The palettes in the warehouse can slide independently and simultaneously with the use of k spaces, unless they come into collision. Then, we show the minimum number of sliding operations required to move a specified palette to a specified position, where one sliding operation is a set of slides of palettes which are executed simultaneously in a unit time withouto any collision.