摘要
针对国际泳联跳台跳水难度系数的判定标准进行研究.首先建立相关性分析模型,找到影响难度系数最大的因子是空中动作(即翻腾和转体圈数),进而建立两者的多元回归模型.跳水模型分为两种情况讨论:只含有翻腾动作和兼具翻腾和转体的情况,分别得到了各跳水动作的时间与选手转动惯量的关系.对不同转动惯量下的选手完成各种跳水动作的时间进行了K-means聚类,得到转动惯量分类以确定相应的体型校正系数,并给出新的难度系数规则.
This paper studied on the judging criteria for the difficulty coefficient of the FINA’s 10-meter platform diving.Firstly,air action(quantity of somesault and twist),the greatest factor that affects degree of difficulty is founded based on the correlation analysis model,and then a multiple linear regression model is established between them.The diving model is divided into two cases:only containing somersault,combing somersault with twist,then we obtained the relationship between the moment of inertia and the time of each’diving action.By using K-means clustering analysis on the time for athletes to perform various diving actions under different moments of inertia,the obtained unified moment of inertia classification can determine the corresponding body shape correction coefficient,and a new difficulty coefficient rule is given.
作者
蒋俐
曹健
唐晓亮
JIANG Li;CAO Jian;TANG Xiao-liang(Nanjing University of Posts and Telecommunications,Nanjing 210046,China)
出处
《数学的实践与认识》
北大核心
2019年第16期65-73,共9页
Mathematics in Practice and Theory
关键词
相关性分析
多元回归分析
转动惯量
角动量
聚类分析
correlation analysis
Multiple regression analysis
Moment of inertia
Angular momentum
Clustering analysis
