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arXiv 1402.3512math.PRmath.COmath.MG
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圆盘中n个随机点处于凸位置的概率

Probability that n random points in a disk are in convex position

Jean-François Marckert

摘要:

本文给出了圆盘中均匀分布下随机点$n$在凸位置的概率公式。虽然接近,但该公式是递归的,并且仅对$n$的第一个值完全显式。

英文摘要:

In this paper we give a formula for the probability that $n$ random points chosen under the uniform distribution in a disk are in convex position. While close, the formula is recursive and is totally explicit only for the first values of $n$.

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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