A mean value formula for elliptic curves

It is proved in this paper that for any point on an elliptic curve, the mean value of x-coordinates of its n-division points is the same as its x-coordinate and that of y-coordinates of its n-division points is n times of its y-coordinate

Evolutionary algorithms in dynamic environments

The file attached to this record is the author's final peer reviewed version.Evolutionary algorithms (EAs) are widely and often used for solving stationary optimization problems where the fitness landscape or objective function does not change during the course of computation. However, the environments of real world optimization problems may fluctuate or change sharply. If the optimization problem is dynamic, the goal is no longer to find the extrema, but to track their progression through the search space as closely as possible. All kinds of approaches that have been proposed to make EAs suitable for the dynamic environments are surveyed, such as increasing diversity, maintaining diversity, memory based approaches, multi-population approaches and so on

THE BIOMECHANICAL CHARACTERISTICS OF THE TAKE-OFF TECHNIQUE IN THE LONG JUMP

The purpose of this study was to examine the biomechanical characteristics of the take-off technique in the long jump of elite athletes. Problems experienced in the take off phase ultimately determine whether or not the outcome will be successful. Through documents, observation and statistical analysis, the performance of 21 elite athletes during the take off phase in the long jump event was compared with that of international long jump record holders. In order to determine the main characteristics of the take-off technique, biomechanical analysis was used. An objective evaluation of skills required for successful completion of the routine will be valuable for both athletes and coaches, seeking improvement in the execution of the long jump event

CSCE 411H: Data Modeling for Systems Development—A Peer Review of Teaching Project Inquiry Portfolio

A new course CSCE411H has been developed in 2015-2016. The course tackles the learning of traditional and emerging data modeling techniques in big data related areas from the system and application perspectives. The students have mixed background in Business, Engineering, and Art and Science with different levels. These have introduced a unique set of challenges in the development of this new course. In this inquiry portfolio, I investigated if the adjustment of assignments can benefit the team work of the students with a variety of background. Through the data collection and analysis, the investigation showed that the new assignment design can facilitate the students to reach the learning goals. It also suggested that more effort would be desired to design assignments to help business students in team work with increasing complexities. Although this inquiry portfolio targets a specific question, the general methodology can help us systematically investigate and address other issues in teaching and learning activities

CSCE 411H: Data Modeling for Systems Development—A Peer Review of Teaching Project Inquiry Portfolio

A new course CSCE411H has been developed in 2015-2016. The course tackles the learning of traditional and emerging data modeling techniques in big data related areas from the system and application perspectives. The students have mixed background in Business, Engineering, and Art and Science with different levels. These have introduced a unique set of challenges in the development of this new course. In this inquiry portfolio, I investigated if the adjustment of assignments can benefit the team work of the students with a variety of background. Through the data collection and analysis, the investigation showed that the new assignment design can facilitate the students to reach the learning goals. It also suggested that more effort would be desired to design assignments to help business students in team work with increasing complexities. Although this inquiry portfolio targets a specific question, the general methodology can help us systematically investigate and address other issues in teaching and learning activities