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。
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, 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。
So, in fact, the actual optimal statement you can make is if a vector field is defined in a simply connected region, and its curl is zero, then it's a gradient field. 实际上最好的结论是,如果向量场定义在一个单连通区域上,而且旋度为零,那么它就是梯度场。
In this paper the application of penalty shifting method to the approximate solution of the optimal initial control problems for the parabolic system on doubly connected region is researched. 研究了惩罚移位法应用于一类种群扩散系统最优边界控制的计算,构造了其逼近程序,并证明了这种方法的收敛性。
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?
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。
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?
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。
In this paper the relationships between S anomaly and small seismic swarm, moderate-strong earthquakes in near region are researched, as well as the correlativity between the S anomaly in "seismic window" area and moderate-strong earthquakes in the connected region. 本文研究了安徽省流动地磁测线S异常与邻近地区小震震群活动频次和中强地震的关系;探讨了“震情窗”地区S异常与“震情窗”相关地区中强地震的相关性;
In this paper, the conformal mapping problem on the transformation from the interior of a unit circle to the interior of the simply connected region or exterior with an arbitrary curvilinear boundary ( including an arbitrary curvilinear cut crack) is discussed. 本文讨论了将单位圆内部映射成由任意曲线(包括任意曲线割缝)边界围成的单连通域内部或外部的保角变换问题。
An Extremal Problem for Univalent Functions in Multiply Connected Region 多连通区域单叶函数的一个极值问题
This paper, we generalize definition of recurring constant, and discuss the line integrals of a function on non-simply connected region with infinite number of holes. 本文广义地定义了循环常数,并对含有无穷多个洞的非单连通域上的曲线积分进行了讨论。
A new concept of spatially connected region of vertical motions is presented for a better definition of bubble-like convective motions through the convective boundary layer ( CBL). 本文提出连续垂直运动区的概念,对边界层中的对流泡状运动进行了重新定义。
Vehicle detection, morphologic filter, connected region analysis, vehicle tacking and incident detection are included in the algorithm, and the solution for the problem and difficulties in the implementation are proposed. 本文实现了一个由车辆检测、形态滤波、连通域分析、车辆跟踪、事件检测等部分组成的高速公路交通事件检测算法,并针对实现过程中遇到的问题及难点提出了相应的解决方法。
On Hilbert Boundary Value Problems with two shifts in a multiple connected region 多连通区域内带两个位移的Hilbert边值问题
The method developed in this paper offers an effective method for solving the plane elastic problems on complex multiply connected region. 本文发展的分析方法,为求解复杂多连通域的平面弹性问题提供了一条有效途径。
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。
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。
Expand the definition of Hp ( p ≥ 1) space in unit circle to the simply connected region using Riemann mapping. 利用Riemann映射性质将单位圆内Hp(p≥1)空间的定义推广到了在一般单连通区域上定义Hp(p≥1)空间。
The definitions of run length and block adjacency graph ( BAG) were given, according to paper's and form's straight line based on primitive extraction. The connected region analysis algorithm for straight line feature extraction was proposed based on run length BAG. 针对纸印品和表格中直线特征的提取,给出游程、块邻接图等定义,在上述定义的基础上,提出了一种基于游程块邻接图的纸印品直线特征提取的连通域分析算法。
For the geometry characteristics of traffic signs, by obtaining the enclosing rectangle in the binary image connected region, the symmetry analysis for each connected region is used to determine the target area and the precise positioning of traffic signs have been completed. 4. 针对交通标志的几何形状特征,通过获取二值图像中连通区域的外接矩形,提出对各连通区域进行对称性分析来判定目标区域,完成了交通标志的精确定位。
First, the edge of the template image and the target object are detected, and then the image is divided into sub-divided areas according to connected region, and an R-Table is established for each sub-image respectively. 首先对模板图像和待检测的目标对象进行边缘检测,然后将图像按照连通区域划分成许多不同的子图形区域,并为模板图像中的每个子图形都建立一个R-Table。
To avoid disturbances from the star, a threshold segmentation and Connected region labeling method is adopted. 为了避免恒星干扰,提出了阈值分割和连通域标记相结合的方法。
The attribute of connected region demarcated by the binary image makes get the characteristics of the foreground objects in the traffic incidents easily. 提出利用二值图像标定连通区域的属性,对交通事件的前景目标进行特征提取。
The paper selects and extracts reasonable characteristics of connected region according to actual inspection requirements and recognizes the information of bottle images by defect recognition algorithm based on expert decision. 根据系统实际的检测要求选择和提取了合理的连通域特征,然后采用基于专家决策的缺陷识别算法准确的识别瓶子信息。
In this paper, several numerical tests simulated the flow of the viscous incompressible fluid in a complex connected region and a bounded region with an open boundary. 论文用若干数值算例模拟了复连通区域上以及含有开边界的有界区域上不可压缩粘性流体的绕流。
Present a character segmentation algorithm based on connected region analysis and character recognition. 提出了一种基于连通域分析和字符识别的切分算法。
These algorithms are: otsu and morphology based on a combination of methods, based on the connected region, based on clustering, based on the growth law. 这些算法分别是:基于otsu和形态学相结合方法、基于连通区域、基于聚类、基于增长法。
As connected region of cities and villages, suburbs are carrying the city of new major force. 作为城市与乡村的连接区域,郊区承载着城市化新生的主要力量。