Prediction of the Extreme Values and the OptimalRatios of Triple Jump Based on the Grey System Theory

We have applied the grey system theory to study triple jumps. In this Paper we introducethe grey system theory, apply it to establish a monotonic sequence nonlinear Verhulst differentialdynamic model. Using that model and the triple jump records in recent 45 years we calculate thefuture extreme values of world triple jump, predict the optimal apportionment among the three phases,and study the tendency of development of triple jumP techniques and strategy. Every event has itsown development, maturity and peak periods. Our study helps coaches and athletes to develop theirstrategy on a scientific base. Based on the grey system theory we predict that the record of worldtriple jump will finally approach 20.65m. The distance of hop, step, and jump will approach 7.56m,6.06m, and 7.03m respectively. The apportionment will approach 36.6% for hop. 29.4% for step, and34.00% for jump. According to our calculation the tendency of development is to follow the model ofthe Russian style basically, and at the same time to absorb the advantage of the Polish style to place agreater emphasis on the distance of the distance of the third phase.