Pendulum waves: A model of Thomae's function

Feng, X; Lu, C; Schulte, J; Shan, Z; Liu, G

Pendulum waves: A model of Thomae's function

Feng, X Lu, C Schulte, J

Shan, Z Liu, G

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Publisher:: American Association of Physics Teachers (AAPT)
Publication Type:: Journal Article
Citation:: American Journal of Physics, 2023, 91, (12), pp. 964-969
Issue Date:: 2023-12-01

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Full metadata record

Field	Value	Language
dc.contributor.author	Feng, X
dc.contributor.author	Lu, C
dc.contributor.author	Schulte, J https://orcid.org/0000-0001-8845-8099
dc.contributor.author	Shan, Z
dc.contributor.author	Liu, G
dc.date.accessioned	2023-11-23T04:16:05Z
dc.date.available	2023-11-23T04:16:05Z
dc.date.issued	2023-12-01
dc.identifier.citation	American Journal of Physics, 2023, 91, (12), pp. 964-969
dc.identifier.issn	0002-9505
dc.identifier.issn	1943-2909
dc.identifier.uri	http://hdl.handle.net/10453/173520
dc.description.abstract	<jats:p>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.</jats:p>
dc.language	en
dc.publisher	American Association of Physics Teachers (AAPT)
dc.relation.ispartof	American Journal of Physics
dc.relation.isbasedon	10.1119/5.0131936
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences
dc.subject.classification	General Physics
dc.subject.classification	49 Mathematical sciences
dc.subject.classification	51 Physical sciences
dc.title	Pendulum waves: A model of Thomae's function
dc.type	Journal Article
utslib.citation.volume	91
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/DVC (Teaching and Learning)
pubs.organisational-group	/University of Technology Sydney/DVC (Teaching and Learning)/Connected Intelligence Centre
utslib.copyright.status	closed_access	*
dc.date.updated	2023-11-23T04:16:04Z
pubs.issue	12
pubs.publication-status	Accepted
pubs.volume	91
utslib.citation.issue	12

Abstract:

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.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/173520