三角曲线自交数的锐界

Sergei Kalmykov, Leonid V. Kovalev
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引用次数: 0

摘要

我们获得了具有三角参数化的闭合平面曲线自交次数的尖锐约束。此外,我们还证明了这种形式的一般曲线是惠特尼意义上的正交曲线。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A sharp bound on the number of self-intersections of a trigonometric curve
We obtain a sharp bound on the number of self-intersections of a closed planar curve with trigonometric parameterization. Moreover, we show that a generic curve of this form is normal in the sense of Whitney.
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