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DC Field | Value | Language |
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dc.contributor.author | Theerakarn T. | |
dc.contributor.other | Srinakharinwirot University | |
dc.date.accessioned | 2023-11-15T02:08:42Z | - |
dc.date.available | 2023-11-15T02:08:42Z | - |
dc.date.issued | 2023 | |
dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85172765987&doi=10.1080%2f07468342.2023.2240203&partnerID=40&md5=170b7a038b833938944823626a9d979d | |
dc.identifier.uri | https://ir.swu.ac.th/jspui/handle/123456789/29473 | - |
dc.description.abstract | Every line passing through the center of a circular disk bisects its area. Not every planar region has a point with this property. It turns out that if a compact connected region is star-shaped at its center of area, then it must be centrally symmetric. However, there exists a non-centrally symmetric star-shaped region whose boundary has a center of length, which is a point where every line passing through this point cut its length in half. In this article, we characterize such regions and provide a method to create them. Additionally, we provide new examples and a method to generate analogous objects in higher dimensions. © 2023, THE MATHEMATICAL ASSOCIATION OF AMERICA. | |
dc.publisher | Taylor and Francis Ltd. | |
dc.title | On the Center of Surface Area of the Boundary of a Star-Shaped Region | |
dc.type | Article | |
dc.rights.holder | Scopus | |
dc.identifier.bibliograpycitation | College Mathematics Journal. Vol 54, No.4 (2023), p.326-336 | |
dc.identifier.doi | 10.1080/07468342.2023.2240203 | |
Appears in Collections: | Scopus 2023 |
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