On comparing the writhe of a smooth curve to the writhe of an inscribed polygon
Jason Cantarella
我们发现平滑曲线的扭动数与铭刻内刻字的多边形的扭动数之间的差异。 证明是基于富勒的扭动公式与多边形曲线的差异的延伸。 结果建立了在计算令状时有用的错误边界。
We find bounds on the difference between the writhing number of a smooth curve, and the writhing number of a polygon inscribed within. The proof is based on an extension of Fuller's difference of writhe formula to the case of polygonal curves. The results establish error bounds useful in the computation of writhe.
