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Optimum Permutation on a Circle.

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Title: Optimum Permutation on a Circle.
Authors: Sarkar, Jyotirmoy1 (AUTHOR) jsarkar@iu.edu
Source: Resonance: Journal of Science Education. Nov2025, Vol. 30 Issue 11, p1425-1444. 20p.
Subject Terms: *Decimal system, Mathematical optimization, Polygons, Numerals
Abstract: To the vertices of a regular decagon, allocate digits 0 through 9 (using each digit exactly once) so that the product of all ten two-digit numbers in base 10 formed by adjoining each pair of successive digits (always going clockwise) is minimized. What if digits 0,1,..., (k − 1) are allocated to the vertices of a regular k-gon and the two-digit numbers are read in base k? [ABSTRACT FROM AUTHOR]
Copyright of Resonance: Journal of Science Education is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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  Availability: 0
Header DbId: ehh
DbLabel: Education Research Complete
An: 189910872
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Optimum Permutation on a Circle.
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  Data: <searchLink fieldCode="AR" term="%22Sarkar%2C+Jyotirmoy%22">Sarkar, Jyotirmoy</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jsarkar@iu.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Resonance%3A+Journal+of+Science+Education%22">Resonance: Journal of Science Education</searchLink>. Nov2025, Vol. 30 Issue 11, p1425-1444. 20p.
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  Data: *<searchLink fieldCode="DE" term="%22Decimal+system%22">Decimal system</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Polygons%22">Polygons</searchLink><br /><searchLink fieldCode="DE" term="%22Numerals%22">Numerals</searchLink>
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  Data: To the vertices of a regular decagon, allocate digits 0 through 9 (using each digit exactly once) so that the product of all ten two-digit numbers in base 10 formed by adjoining each pair of successive digits (always going clockwise) is minimized. What if digits 0,1,..., (k − 1) are allocated to the vertices of a regular k-gon and the two-digit numbers are read in base k? [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Resonance: Journal of Science Education is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s12045-025-1890-2
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      – Code: eng
        Text: English
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      – SubjectFull: Decimal system
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      – SubjectFull: Mathematical optimization
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              Text: Nov2025
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