Pendulum waves: A model of Thomae's function
10.1119/5.0131936.1 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...
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| Veröffentlicht in: | American journal of physics 2023-12, Vol.91 (12), p.964-969 |
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| container_end_page | 969 |
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| container_issue | 12 |
| container_start_page | 964 |
| container_title | American journal of physics |
| container_volume | 91 |
| creator | Feng, Xiangdong Lu, Changhong Schulte, Jurgen Shan, Zengxu Liu, Gentong |
| description | 10.1119/5.0131936.1
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. |
| doi_str_mv | 10.1119/5.0131936 |
| format | Article |
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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.</description><identifier>ISSN: 0002-9505</identifier><identifier>EISSN: 1943-2909</identifier><identifier>DOI: 10.1119/5.0131936</identifier><identifier>CODEN: AJPIAS</identifier><language>eng</language><ispartof>American journal of physics, 2023-12, Vol.91 (12), p.964-969</ispartof><rights>Author(s)</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c224t-d23945851770b144501b455a13b0b2e8cf9563caa1a585192a1fe4303beb0cbf3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/ajp/article-lookup/doi/10.1119/5.0131936$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,780,784,794,4512,27924,27925,76384</link.rule.ids></links><search><creatorcontrib>Feng, Xiangdong</creatorcontrib><creatorcontrib>Lu, Changhong</creatorcontrib><creatorcontrib>Schulte, Jurgen</creatorcontrib><creatorcontrib>Shan, Zengxu</creatorcontrib><creatorcontrib>Liu, Gentong</creatorcontrib><title>Pendulum waves: A model of Thomae's function</title><title>American journal of physics</title><description>10.1119/5.0131936.1
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.</description><issn>0002-9505</issn><issn>1943-2909</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9j81KxDAYRYMoWEcXvkF2opjx-_Iz07gbBv9gQBfjOiRpgpW2kaZVfHunzKxdXS4cLvcQcokwR0R9p-aAArVYHJECtRSMa9DHpAAAzrQCdUrOcv7cVY0lFOT2LXTV2Iwt_bHfId_TFW1TFRqaIt1-pNaGq0zj2PmhTt05OYm2yeHikDPy_viwXT-zzevTy3q1YZ5zObCKCy1VqXC5BIdSKkAnlbIoHDgeSh-1WghvLdqJ0txiDFKAcMGBd1HMyPV-1_cp5z5E89XXre1_DYKZNI0yB80de7Nns68HO738B_4DZwxPow</recordid><startdate>202312</startdate><enddate>202312</enddate><creator>Feng, Xiangdong</creator><creator>Lu, Changhong</creator><creator>Schulte, Jurgen</creator><creator>Shan, Zengxu</creator><creator>Liu, Gentong</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>202312</creationdate><title>Pendulum waves: A model of Thomae's function</title><author>Feng, Xiangdong ; Lu, Changhong ; Schulte, Jurgen ; Shan, Zengxu ; Liu, Gentong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c224t-d23945851770b144501b455a13b0b2e8cf9563caa1a585192a1fe4303beb0cbf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Feng, Xiangdong</creatorcontrib><creatorcontrib>Lu, Changhong</creatorcontrib><creatorcontrib>Schulte, Jurgen</creatorcontrib><creatorcontrib>Shan, Zengxu</creatorcontrib><creatorcontrib>Liu, Gentong</creatorcontrib><collection>CrossRef</collection><jtitle>American journal of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Feng, Xiangdong</au><au>Lu, Changhong</au><au>Schulte, Jurgen</au><au>Shan, Zengxu</au><au>Liu, Gentong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pendulum waves: A model of Thomae's function</atitle><jtitle>American journal of physics</jtitle><date>2023-12</date><risdate>2023</risdate><volume>91</volume><issue>12</issue><spage>964</spage><epage>969</epage><pages>964-969</pages><issn>0002-9505</issn><eissn>1943-2909</eissn><coden>AJPIAS</coden><abstract>10.1119/5.0131936.1
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.</abstract><doi>10.1119/5.0131936</doi><tpages>6</tpages></addata></record> |
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| identifier | ISSN: 0002-9505 |
| ispartof | American journal of physics, 2023-12, Vol.91 (12), p.964-969 |
| issn | 0002-9505 1943-2909 |
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| source | AIP Journals Complete |
| title | Pendulum waves: A model of Thomae's function |
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