simply-connected region的意思|示意

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。

And here, to be completely truthful, I have to say defined in a simply connected region. Otherwise, we might have the same kind of strange things happening as before.

这里，为了使得完全成立，不得不假设，这定义在一个单连通区域，否则就有可能得到，和先前一样的奇怪事情。

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。

Then, a new kind of so-called stratified triangulation of a simply connected planar polygonal region is introduced.

文中还定义了平面单连通多边形区域的所谓分层三角剖分，并确定了此剖分下二次样条空间的维数。

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。

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。