文章基本信息

标题：THE MATH MODELING OF THE STAGES OF RESULT DEVELOPMENT IN HIGH PROFILE ELITE SWIMMERS FOR THE 50m, 100m, 200m, 400m AND 1500m FREESTYLE
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作者：Tomislav Okičić ; Dejan Madić ; Milivoj Dopsaj 等
期刊名称：Facta Universitatis : Series Physical Education and Sport
印刷版ISSN：1451-740X
出版年度：2007
卷号：5
期号：02
页码：121-137
出版社：University of Niš
摘要：The modern theoretical concept of sport training concentrated on achieving top sport results is based on a principle of perennial directional training that includes sports, preparation and competition. The given perennial process is based upon functional entireties of educational-directional training of the same sort, i.e. based on specific entireties divided into preparation periods. Every mentioned part, despite being functionally connected to the other parts, consists of differently designed training purposes called stages. The purpose of this research is to determine the models based upon which we could evaluate the stages of result development for the men’s 50, 100, 200, 400 and 1500m freestyle. This research has been carried out using data from secondary sources and it belongs to the category of chronobiological research. The sample consisted of 41 top male swimmers who won medals, that is, entered the finals at World and European Championships or at the Olympics during the last decade (Olympic size pool). This way, the research sample was categorized as consisting of swimmers with elite competition achievements. The modeling was performed using a mathematical method applying fitting of the polynomial degree function of the basic form n degree y = a₀ + a₁x + a₂x² + ... a_nxⁿ. Two patterns have been calculated: 1) the given patterns in the change of the results at competitions in relation to the swimmers’ age 2) the pattern in the trend of change of the results at competitions in relation to the swimmers’ age within the tested discipline. The results showed that a reliable model, through which the given patterns are described, could be defined for every freestyle discipline. This enabled, in the first place, the measuring of the observed phenomenon and its description using the universal language of mathematics, and secondly, it opened the possibility of control and correction of applied training procedures that all trainers use when they want to compare the obtained model with the one they are applying.
关键词：sport training technology, training stage models, math modeling, swimmers, free style