jumping line
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2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Duo Yang ◽  
Xiguo Bian

Long jump is one of the important events of modern track and field sports, and it is also one of the regular events of major events. Due to the complexity and technicality of the project, the determination of the results in a formal competition is also very complicated. It is easy for athletes to invalidate their results due to fouls by stepping on the jump line. Therefore, it is very necessary to detect fouls. This paper uses a visual sensor technology to design and develop a foul detector for the situation of athletes stepping on the jump line in a long jump, which can detect fouls well. In the formal competition process, because the long jump time is relatively short, the referee is interfered by many factors and it is easy to misread the movements of the athletes and cause misjudgment. Therefore, on this basis, in order to improve the fairness of the game and create a good competition environment, the design is designed. The long jump stepping line foul detector is studied, and the visual sensor technology is used, which can judge the long jump stepping fouls during the long jump based on the feedback data.


2019 ◽  
Vol 16 (03) ◽  
pp. 1950036 ◽  
Author(s):  
Sheng-Hong Lai ◽  
Jen-Chi Lee ◽  
I-Hsun Tsai

We calculate a sheaf line in [Formula: see text] which is the real line supporting sheaf points on [Formula: see text] of [Formula: see text] Yang–Mills (YM) instanton (or [Formula: see text] complex YM instanton) sheaves for some given ADHM data we obtained previously. We found that this sheaf line is indeed a special jumping line over [Formula: see text] spacetime. In addition, we calculate the singularity structure of the connection [Formula: see text] and the field strength [Formula: see text] at the corresponding singular point on [Formula: see text] of this sheaf line. We found that the order of singularity at the singular point on [Formula: see text] associated with the sheaf line in [Formula: see text] is higher than those of other singular points associated with normal jumping lines. We conjecture that this is a general feature for sheaf lines among jumping lines.


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