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
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。