论文标题
旋转编号的新公式
A new formula for rotation number
论文作者
论文摘要
我们为光滑的封闭平面曲线的旋转数(或惠特尼指数)提供了新的公式。该公式是从与曲线区域和交叉点相关的绕组数获得的。与经典的惠特尼公式的区别是,我们的公式不需要基点。
We give a new formula for the rotation number (or Whitney index) of a smooth closed plane curve. This formula is obtained from the winding numbers associated with the regions and the crossing points of the curve. One difference with the classic Whitney formula is that ours does not need a base point.