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Submission Form(论文相关表)

First step: Please read the following content of abstract submission

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The LOC scholarships will be awarded to young investigators (under 35yrs), from developing

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Awards for best oral and poster presentation for whole of Convention and young investigator level will be given. Please indicate your intention to be considered for a particular award on the abstract submission form.

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Sport Culture/History/Philosophy

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Author Information

The author entered in this space will be listed as the first author, and per IC SEMIS policy, will be the presenting author.

Title:Advanced

middle

school

teacher

Surname:Xu Given Name:Ming

Company/Organisation: Wutongqiao Middle School of Leshan City, Sichuan China Position: Teacher of the informatics centre of Wutongqiao Middle School

Address: Wutongqiao Middle School of Leshan City, Leshan 614800, Sichuan China

Country: China Postal

Code:

614800

Phone: 0833******* Fax: 0833*******

Mobile: 139******** Email: xm824@https://www.wendangku.net/doc/8816833144.html,

Would you like to have your personal information distributed to sponsors for eg. promotions and sponsorships?

Nomination for awards

Best poster presentation

Sessions

Preference for Oral/Poster Presentation (optional, final decision is made by Symposium Convenors)

Poster Presentation

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Sports training

Areas of presentation

Second step: Please fill in the following submission form according to the information you got from the first step

Other topical areas may be submitted under the major categories.

2008 Abstract Submission Form

Title of the Paper:

Modelling of the Extreme Values of Men ’s Triple Jump and its Related Events and their Correlations

Author(s):

Ming Xu [1] Bing Zhou [2] Junmin Wei [3]

Keywords (5-8):

Olympic Games, triple jump, grey relational analysis (GRA), extreme values

ABSTRACT (1 page A4 only – if space provided is not enough, extra pages may be attached ):

Introduction

Treating triple jump and its related events as a system, the present study explores into the extreme values of these events and the correlations of their specialty attributes, in an attempt to provide some heuristic guidance for the special attribute training of future triple jumpers Methods

1. To construct of model of Olympic Champions ’ performances by using saturated dynamic non-linear Verhulist modeling method.

Verhulst equation: ()

()

()()

()

2111/dx

dt ax b x

Its solution: ()()

()

10/1/1t at

a b

a b x e --=

??+- ??

Through the second derivative of the solution, we can get that the Maximum when t =t0.

2. The grey relational model:

(k)i X (k)X max max k i )1a

( (k)i X (k)X (k)i X (k)X max k

max j b )k (i X )k (X min min k i )k (i ε-+---+-=

，m

，and its

relational degree is

∑

Γ=

(k)

Results

1. The extreme values for men’s triple jump, long jump and high jump are 20.68 meters, 10.0534 meters and

2.6314 meters respectively.

2. We take the performances of the triple jump champions as the main factor and that of the related champions as the cofactors, and get the correlation degrees in relation to the long jump, the high jump, the 100-meter dash, and the 110-meter hurdle are 5.0734, 4.8202,

3.4172, and 2.9869 respectively.

Conclusion

1. The limit of the future triple jump obtained by this study is 20.68 meters. This result turns out to be the same as the result published on “Sports Science” (1992) obtained via modeling the world records from 1952 to 1987, which suggests the stability and reliability of the result.

2. The extreme value for long jump and high jump would approach 10.53 meters and 2.728 meters respectively.

3. According to the relational degrees, the most relevant specialty attribute for the future triple jumpers are speed and strength (the long jump), vertical strength (the high jump), speed (100-meter dash), flexibility, speed and strength (110-meter hurdle) in a decreasing order. As is shown, the long jump contributes most of the influence to the triple jump. Therefore, the main training task in the future should be the improvement of athletes’ vertical speed and strength. References

［1］Xu M. (1995). Grey theory and physical education. Chengdu: Chengdu University of Science and Technology Press. 178-180.

［2］Xu, M & Guang L. (2003). Physical education grey mathematical model of and program package. In Ye. C. X, the 7th symposium of national physical education related applied computer science, 139-144.

［3］Xu M. (1999). Prediction of the extreme values and the optimal ratios of triple jump based on grey system theory. Systems Science and Systems Engineering, 8 (1), 40-50.