Or, as we will see soon, in a simply connected region.
稍后我们会知道，在一个单连通区域上也可以。
OK, so where do we use the assumption of being defined in a simply connected region?
那么我们是在哪里利用了，“定义在单连通区域”的假设呢？
Let's not worry too much about it. For accuracy we need our vector field to be defined in a simply connected region.
对于它，不用太担心，为了精确起见，需要向量场定义在一个单连通区域中。
OK, so, we've seen that if we have a vector field defined in a simply connected region, and its curl is zero, then it's a gradient field, and the line integral is path independent.
一个向量场,如果定义在单连通区域并且旋度为零，那么它就是一个梯度场，并且其上的线积分与路径无关。
This paper introduces the concept of potential function into the multiply-connected region and provides its method of computation in order to solve some complex problems concerning line integrals.
本文在复连域上引进势函数的概念，并给出其计算方法，以此来解决一些复杂的曲线积分计算问题。
First, the connected region growing tree is established from a set of thresholded images with different thresholds.
首先利用一组多阈值分割结果建立连通域生长树。
In this paper is discussed the plain problem for multiply connected region of which the boundaries are closed smooth curves.
本文对边界是封闭光滑曲线的多连通域平面问题进行了研究。
In this paper the theorem in which a curve integral is independent of the integral path on a single connected region is generalized.
本文把在单连通区域上成立的曲线积分与路线无关性定理推广到复连通区域。
With the help of the conformal transformation, we transform a simply connected region and its boundary into the upper half plane and real axis.
借助保形变换将单连通区域及其边界化为上半平面与实轴。
Granule shape features of connected region were extracted through statistically analyzing maximum points of connected region in distance image.
通过对距离图像连通区域极大值进行统计分析，提取该连通区域的颗粒形态特征。
After the threshold operation, morphologic operation and connected region area measurement are introduced to solve the background disturbance problem.
减背景操作后，用形态学方法和检测连通域面积进行后处理，消除噪声和背景扰动带来的影响；
An algorithm is presented for converting the linear quadtree representation of a simply connected region into a 4-direction chain code description of the region's boundary.
本文提出一种算法实现单连通区域的线性四元树表示转换成区域边界的4 -方向链码描述。
Based on the solution of the diffracted wave field the general formulas for calculating dynamic stress concentration factor for a cavity of arbitrary shape in multiply-connected region are given.
基于绕射波场的解，文中给出了任意形状空腔动应力集中系数的一般算式。
Based on the solution of the diffracted wave field the general formulas for calculating dynamic stress concentration factor for a cavity of arbitrary shape in multiply-connected region are given.
基于绕射波场的解，文中给出了任意形状空腔动应力集中系数的一般算式。
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