查询词典 singular boundary point

According to the principle of the diameter of a circle corresponding to the right angle and the principle of short side for little angle in right triangle, projecting the initially-chosen point to the hyper-planes of the linear equation group in which every linear equation can be regarded as a hyper-plane and the projection points can be obtained. The initially-chosen point, and one arbitrary projection point, and the solution point are all on the surface of the relative hyper-geometry ball, therein-to, there is a projection point which is nearest to the solution point and it can be regarded as the next iterative initially-chosen point, so the solution problem of the linear equation group can be changed as an iterative problem of approaching the solution on the surface of a hyper-geometry ball.

根据直径对应的圆周角足直角以及直角三角形中短边对小角的原理进一步知道，当将初始点向线性方程组中各个方程所代表的超平面上投影得到投影点时，初始点和其任何一个投影点及方程组的解点都将位于一个相应的超球面上，其中必定存在一个投影点离问题解点的距离最短，即把该点作为下一次迭代的初始点，从而可将线性方程组求解的问题变成球面上逼近解点的迭代问题。

Thence in a southeasterly direction to Corner Point No. CP14 (X = 484 330, Y = 683 415); thence in a. northeasterly direction to Corner Point No. CP15 (X = 484 390, Y = 683 490); thence in a southeasterly direction to Corner Point No. CP16 (X = 484 415, Y = 683 470); thence in a southwesterly direction to Corner Point No. CP17 (X = 484 355, Y = 683 395); thence in a southeasterly direction to Corner Point No. CP18 (X = 484 430, Y = 683 335); thence in a southeasterly direction to Corner Point No. CP1, the point of beginning.

从该点起向东南延伸至隅角点CP14（X = 484 330，Y = 683 415）；从该点起向东北延伸至隅角点CP15（X = 484 390，Y = 683 490）；从该点起向东南延伸至隅角点CP16（X = 484 415，Y = 683 470）；从该点起向西南延伸至隅角点CP17（X = 484 355，Y = 683 395）；从该点起向东南延伸至隅角点CP18（X = 484 430，Y = 683 335）；从该点起向东南延伸至隅角点CP1。

Via connecting the maximal module ideal point algorithm with the power coefficient under Kuhn-Tucker condition, the bilevel multiobjective programming problem is changed to a singular-level singular-objective constraint programming problem.

给出双层多目标决策问题数学模型的一种解决方法，把带权极大模理想点法和Kuhn-Tucker条件结合起来，从而把双层多目标规划问题转化为单层单目标约束规划问题，进而求得原问题的弱有效解。

The main results and novelties of the paper are as follows:Firstly, we study the existence of nontrivial solution for the following nonlinear equations with singular pontential By using variational methods and critical point theory, we construct linking type critical value of this kind of singular elliptic equations, with the properties of the eigenvalue, we estimate the critical value and prove the local condition holds to show the existence of the nontrivial solution.

论文的创新点及主要结果如下：首先研究有界区域上具有奇异位势的非线性方程的非平凡解的存在性，运用变分方法与临界点理论，构造这一类奇异椭圆方程的环绕型临界值，并由特征值的性质给出临界值的估计，同时证明局部条件成立，最终证明方程非平凡解的存在性。

In this paper, an adaptive algorithm for singular points detection is proposed, which is based on the behavior of Gaussian-Hermite moments. In order to detect singular point accurately, the distribution of Gaussian-Hermite moments of different orders of the fingerprint image in multiple scales is used.

介绍了一种基于Gaussian-Hermite矩分布属性的自适应指纹奇异点定位方法，为了准确地确定奇异点，用到了指纹图像在多种尺度下的不同阶Gaussian-Hermite矩分布，并用一种基于主分量分析(principalcomponentanalysis，简称PCA)的方法分析指纹图像的Gaussian-Hermite矩分布。

In this paper, an adaptive algorithm for singular points detection is proposed, which is based on the behavior of Gaussian-Hermite moments. In order to detect singular point accurately, the distribution of Gaussian-Hermite moments of different orders of the fingerprint image in multiple scales is used. A PCA-based method is used to analyze the distribution of Gaussian-Hermite of fingerprint image.

介绍了一种基于Gaussian-Hermite矩分布属性的自适应指纹奇异点定位方法，为了准确地确定奇异点，用到了指纹图像在多种尺度下的不同阶Gaussian-Hermite矩分布，并用一种基于主分量分析(principal component analysis，简称PCA)的方法分析指纹图像的Gaussian-Hermite矩分布。

In thesequel,the definition of singular point is given,and then the Laurent's expansionof a LR regular function with isolated singular points is obtained in the corre-sponding Laurent domain,after that,we introduce the definition of residue,andthe residue theorems are obtained.

虽然这仅仅讨论的是在Clifford分析中的较为特殊的Riemann边值问题与奇异积分方程，但它仍然改进了以前文献的结果，从而也为更进一步地解决Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想。

Firstly, we give out a reduction way for quasilinear generalized system A〓=G , and the concept of the index κ geometrically nonsingularity, where A is singular and of smooth kernal space. By using the canonical projection mappings onto the space of ker A , a class singular pointimpasse point only owned by nonlinear generalized system is also studied and we also prove that the regular index κ quasilinear generaized system A〓=G defined on the region W is equivalent with an ODEs 〓 defined on a submanifold W〓 of the W, so we reduce the problem of quasilinear generalized system to the problem of an ODEs.

首先利用投影函数，给出了拟线性广义系统A〓=G的一种归约方法，提出了指数κ几何非奇异的概念，同时对广义系统特有的一类奇点-寂点进行了研究，证明了正则指数κ的拟线性问题A〓=G等价于在其定义域W中某一个子流形W〓上的正常微分方程〓，从而将拟线性广义系统的问题归结为常微分方程问题。

Data pre-processing technologies such as singular points elimination, registration and radius compensation are studied. Base on chord high difference algorithm, a new one called chord high difference-ratio algorithm is proposed to improve veracity and robusticity of singular points elimination. Then, a registration algorithm based on local surface reconstruction is proposed, which avoids infaust influence coming from single reference point error.

在弦高差法的基础上，提出了全新的弦高差—比法，提高了异常点剔除的准确性和柔韧性；提出了一种基于局部图形重构的重定位方法，该方法通过对特征球的最小二乘拟合，消除了单一参考点的精度对重定位的影响；在此基础上对重定位的误差进行了详细的分析，给出了精确的误差值，从数学的角度保证了重定位的精度；在三角网格法的基础上提出了基于Delaunay三角剖分的半径补偿新方法，有效改善了补偿矢量的计算效率和准确性。

This *** mainly focuses on calculation of the impedance matrix and treating of the singular points. Gauss integration and nine-point integration are used to calculate impedance matrix, and the potential integration method and singular value transfer method are used to solve the integral singularity problem.

本文重点研究了阻抗矩阵的计算及积分奇异性的处理题目，采用了高斯积分法和九点积分法计算阻抗矩阵，用奇异值转移法和位势积分法很好的解决了积分奇异性的题目。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。