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arXiv 2201.07892math.MG
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圆弧是唯一具有外幂点的解析Jordan曲线

Circular arcs are the only analytic Jordan curves with an exterior power point

Luis Felipe Prieto-Martínez

摘要:

1946年,J. Rosenbaum提出了一个问题族,询问需要多少个幂点来确保给定凸体的边界$c$是圆盘。在本文中,我们使用Riordan矩阵表明,如果这条曲线$c$是解析的,那么一个单一的外部功率点是足够的。

英文摘要:

In 1946, J. Rosenbaum proposed a family of problems asking how many power points are needed to ensure that the boundary $c$ of a given convex body is a disk. In this paper, we use Riordan matrices to show that, if this curve $c$ is analytic, then one single exterior power point is sufficient.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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