钟摆波托马函数模型

IF 0.8 4区教育学 Q3 EDUCATION, SCIENTIFIC DISCIPLINES

American Journal of Physics Pub Date : 2023-12-01 DOI:10.1119/5.0131936

Xiangdong Feng, Changhong Lu, Jurgen Schulte, Zengxu Shan, Gentong Liu

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引用次数: 0

摘要

摆波装置表现出循环摆摆模式，包括波状运动和钟摆排列。本文给出了钟摆对准次数和次数的完整解析解，并证明了它是托马函数的一个子集。根据该函数的性质和基本数论，对摆型进行了全面的分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Pendulum waves: A model of Thomae's function

The pendulum wave apparatus exhibits cyclic pendulum patterns, including wave-like motion and pendulums alignments. This work presents a complete analytical solution to the times and numbers of pendulum alignment, which is shown to be a subset of Thomae's function. Based on the properties of this function and basic number theory, a comprehensive analysis of pendulum patterns is presented.

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来源期刊

American Journal of Physics 物理-物理：综合

CiteScore

1.80

自引率

11.10%

发文量

146

审稿时长

3 months

期刊介绍： The mission of the American Journal of Physics (AJP) is to publish articles on the educational and cultural aspects of physics that are useful, interesting, and accessible to a diverse audience of physics students, educators, and researchers. Our audience generally reads outside their specialties to broaden their understanding of physics and to expand and enhance their pedagogical toolkits at the undergraduate and graduate levels.