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亨利·科切特的网球角度理论(1933年)揭示了预判的一个新方面。

Henri Cochet's theory of angles in tennis (1933) reveals a new facet of anticipation.

作者信息

Benguigui Nicolas, Rioult François, Kauffmann François, Miller-Dicks Matt, Murphy Colm P

机构信息

Normandie Univ, UNICAEN, CNRS, GREYC, Caen, France.

Normandie Univ, UNICAEN, CNRS, LMNO, Caen, France.

出版信息

Sci Rep. 2024 Feb 9;14(1):3364. doi: 10.1038/s41598-024-53136-7.

DOI:10.1038/s41598-024-53136-7
PMID:38337002
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10858201/
Abstract

In this study, we tested the theory of angles that was proposed almost a century ago by the tennis player Henri Cochet. This theory proposes that expert tennis players should position themselves on the bisector of the angle of the opponent's possibilities in order to optimize shot return, suggesting a geometric occupation of the court relative to the opponent's affordances; namely what he/she is capable of doing. We tested this hypothesis by analysing player and ball positioning data from professional tennis matches recorded with a Hawk-Eye system. We compared this hypothesis with two alternative computational and probabilistic hypotheses which would consist in positioning oneself on the average or the median of the shots usually played from a given location. The results show that expert tennis players apply the principles of the theory of angles and thus confirm Henri Cochet's intuition. That is, for lateral court positioning, a geometric strategy is deemed optimal by expert players. It also appears that the more experienced the players are, the more precise their application of this strategy becomes.

摘要

在本研究中,我们验证了近一个世纪前网球运动员亨利·科切特提出的角度理论。该理论认为,为了优化回球,专业网球运动员应站在对手击球可能性角度的平分线上,这意味着相对于对手的能力,在球场上占据一个几何位置,即对手能够做到的事情。我们通过分析用鹰眼系统记录的职业网球比赛中的球员和球的位置数据来验证这一假设。我们将这一假设与另外两个替代性的计算和概率假设进行了比较,这两个假设是基于站在从给定位置通常打出的击球的平均值或中位数位置。结果表明,专业网球运动员应用了角度理论的原则,从而证实了亨利·科切特的直觉。也就是说,对于球场横向定位,专业球员认为几何策略是最优的。似乎球员经验越丰富,他们对这一策略的应用就越精确。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/0f07c406f5ed/41598_2024_53136_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/ab00ee9efee3/41598_2024_53136_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/86056ff2165e/41598_2024_53136_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/fc1fc8cf17bd/41598_2024_53136_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/9dffe7b237d2/41598_2024_53136_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/f2e2cc954861/41598_2024_53136_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/0f07c406f5ed/41598_2024_53136_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/ab00ee9efee3/41598_2024_53136_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/86056ff2165e/41598_2024_53136_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/fc1fc8cf17bd/41598_2024_53136_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/9dffe7b237d2/41598_2024_53136_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/f2e2cc954861/41598_2024_53136_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb13/10858201/0f07c406f5ed/41598_2024_53136_Fig6_HTML.jpg

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