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。
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。
Firstly, image segmentation is a process that segment image domain into a set of connected regions, each region having the same or similar features.
图像分割是将整个图像区域分割成若干个互不交叠的非空子区域的过程，每个子区域的内部是连通的，同一区域内部具有相同或相似的特征。
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；
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。
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。
By the process of moving area detection, yawp elimination, object detection based on connected region label, shadow elimination, the whole vehicle targets area is obtained.
通过运动区域检测、噪声去除、连通单元标记、目标提取、阴影检测等处理，能获取完整的车辆目标区域。
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。
Well, if you know that your vector field is defined everywhere in a simply connected region, then you don't have to worry about this question of, can I apply Green's theorem to the inside?
如果知道了，向量空间在单连通区域内处处有定义，那么就可以毫无顾忌地，在这个区域里使用格林公式了？
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。
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。
But without fraternity, in a region so pervasively mauled and inter-connected, they risk souring.
但没有博爱的话，在一个受到如此变态的粗暴对待以及如此在内部彼此关联的区域，它们就会有变质的危险。
Research shows that focusing on important thoughts activates a brain region connected to memory.
研究表明，专注于一个重要的想法会激活大脑中与记忆相关的部分。
That is why roads are tightly connected with the history of a particular region, as well as with people, walking and driving those roads.
这就是道路与走过、驶过它们的特定地域的历史、人物紧密相连的缘故。
The development will be connected to the larger region via a light rail and ferry, linking to planned extensions of Singapore and Malaysia's transit infrastructure.
该开发区将通过轻轨和渡轮连接到更大的地区，连接到新加坡和马来西亚的交通基础设施的规划开发区。
Take Africa -- there are about 110 million households in the region without access to the grid, compared with only 20 million who are connected.
拿非洲为例，在这一地区，有大约一亿一千万的家庭没有介入电网，与之形成对比的是只有两千万家庭接入电网。
Based on the dissimilar features of the different geographical elements, a normalizing algorithm is put forward on the basis of region features and connected component of others than regions.
根据彩色栅格城市交通地图图像中各类地理要素的特征，提出一种基于区域特征和连接成分的地图图像规范化算法。
A convenient modulator can be formed by an emitter-follower transistor having its emitter region connected to the source or drain of the field-effect transistor.
方便调节剂能形成一个射极跟随晶体管发射极地区，其连接到来源或流失的场效应晶体管。
The paper discusses the highly interrelation. Connected effects and side effects of behaviour and profoundly disclosed the difference; and connections of region limit and behaviour limit.
首先探讨环境行为的相关性强、连带影响大、副作用多的特性，揭示和比较行为限制与区域限制的区别和联系；
People whose cortex was thicker and better connected in this region had faster switch rates.
皮质较厚的以及在这区域连接更好的人的转变速率更快。
The riparian zone is a functional transition region, the last protection barrier of lakes, which is connected the lake aquatic ecosystem and the terrestrial ecosystem.
湖滨带是连接湖泊水域生态系统与陆地生态系统的一个功能过渡区，是湖泊的最后一道保护屏障。
The contact plug is electrically connected to the common doped region and the bit line is disposed over the substrate.
接触窗插塞电性连接至共用掺杂区域，且位线配置于基底上。
The graphic elements are all connected to the wine imaginary, both explaining its region and its characteristics.
图形元素都是连接到酒虚，既解释其区域及其特点。
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。
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