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词汇 Winding number
分类 英语词汇 英语翻译词典
释义

Winding number

中文百科

卷绕数

这条曲线关于点p的卷绕数是2。
沿着红色曲线移动的物体绕着原点逆时针旋转了两圈。
Un point z0 et un lacet C.

平面上的闭曲线关于某个点的卷绕数，是一个整数，它表示了曲线绕过该点的总次数。卷绕数与曲线的定向有关，如果曲线依顺时针方向绕过某个点，则卷绕数是负数。

卷绕数在代数拓扑中是基本的概念，在矢量分析、复分析、几何拓扑、微分几何和物理学中也扮演了重要的角色。

英语百科

Winding number 卷绕数

This curve has winding number two around the point p.
An object traveling along the red curve makes two counterclockwise turns around the person at the origin.
The boundary of the regular Enneagram 9/4 winds around its centre 4 times, so it has a density of 4.
The term winding number may also refer to the rotation number of an iterated map.

In mathematics, the winding number of a closed curve in the plane around a given point is an integer representing the total number of times that curve travels counterclockwise around the point. The winding number depends on the orientation of the curve, and is negative if the curve travels around the point clockwise.
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