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词汇 Rational normal curve
分类 英语词汇 英语翻译词典
释义

Rational normal curve

英语百科

Rational normal curve

In mathematics, the rational normal curve is a smooth, rational curve C of degree n in projective n-space P. It is a simple example of a projective variety; formally, it is the Veronese variety when the domain is the projective line. For n = 2 it is the flat conic Z0Z2 = Z2
1
,
and for n = 3 it is the twisted cubic. The term "normal" refers to projective normality, not normal schemes. The intersection of the rational normal curve with an affine space is called the moment curve.

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