Cramér-Euler反论[Cramér-Euler Paradox] - 达人(其实～我是卧底，来自外星)

2004/10/26 | Cramér-Euler反论[Cramér-Euler Paradox]
类别(∑〖数学〗) | 评论(0) | 阅读(28) | 发表于 13:18: A curve of order n is generally determined by points. So a conic section determined by five points and a cubic curve should require nine. But the Maclaurin-Bézout theorem says that two curves of degree n intersect in points, so two cubics intersect in nine points. This means that points do not always uniquely determine a single curve of order n. The paradox was publicized by Stirling, and explained by Plücker.; 0