查询词典 removable singularity

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

By usingthe relation between the Bergman kernel and the Riemann mapping and Plemly for-mulae,the second boundary integral equation about the Bergman kernel is obtained,moreover,the integral kernel is a continuous,without any singularity,parametized Neu-mann kernel.We discuss the case of some symmetric property,and get correspondingresults.

主要利用Bergman核与Riemann映照之间的关系，推导出Bergman核满足带有参数化Neumann核的第二类边界积分方程，积分核是连续的没有任何奇性，并讨论了具有某种对称性质的情形。

In this paper,the singularity in the integrand of electrical field integral equation for 3-dimensional vector fields scattering is first analyzed.

本文研究了电场积分方程中被积函数奇异性的处理方法，特别是三维矢量散射分析中出现的高阶奇异性，给出了两种解决积分方程奇异性的数值方法。

The vector surface integral equation can't be applied to numerical computation directly because its integrands possess the high order singularity.

矢量的面积分方程因其被积函数具有高阶奇异性，不能直接应用於数值计算。

Dept.of Microwave Eng.,UEST of China,Chengdu 610054,ChinaAbstract:In this paper,the singularity in the integrand of electrical field integral equation for 3-dimensional vector fields scattering is first analyzed.

本文研究了电场积分方程中被积函数奇异性的处理方法，特别是三维矢量散射分析中出现的高阶奇异性，给出了两种解决积分方程奇异性的数值方法。

Pointing out that the singularity revealed the defects of the general relativity in theory and was not the intrinsic property in the nature world.

而通常所说的光速不变原理，指的是在惯性坐标系或局域惯性坐标系中，真空中的光速各向同性

The authors study the property of the active power/angle sub-matrix in power flow Jacobian matrix and the sufficient condition for the invertibility of the sub-matrix as well as the necessary condition for singularity are given.

探讨了潮流雅可比矩阵中有功/相角子矩阵的性质，给出了该矩阵可逆的充分条件及其奇异的必要条件。

According to the Jacobian matrix of mechanism, the singularity of the mechanism was analyzed.

又根据机构的雅克比矩阵，对机构的奇异位形进行了分析。

At last, the square Jacobian matrix of low-DOF serial robot is established using screw theory, and the condition of existing singularity is solved on this basis.

最后，应用螺旋理论的方法构建了少自由度串联机器人的雅克比方阵，并在此基础上求解了机构奇异位形存在的条件。

The singularity and dexterity of spherical five-bar mechanisms are calculated and analyzed based on Jacobin matrix of mechanisms.

首先建立了球面五杆机构的运动学正、反解模型，并导出了机构的速度方程和雅可比矩阵。

Objective:To compare the response control and attention of Schizophrenic patients with that of the healthy controls by Integrated Visual and Auditorycontinuous performance test. To quantitate the impairment of cognitive function in patients, and to explore the relationship between cognitive function and the severity of the disorder.

目的：探讨精神分裂症病人在IVA持续操作测试中的反应控制能力、注意力等，并与健康人进行比较，从而量化精神分裂症病人的认知功能损害，并进一步探讨其认知功能与疾病严重程度的关系。

Main effective factors including subcooling degree, mechanical vibration, gas hydrate reformation, environment temperature, noncondensing gas and surfactant are analyzed.

指出过冷度、机械振动、重复生成水合物、环境温度、不凝性气体、添加剂是影响气体水合物生成的主要因素，还对R152a水合物的放冷进行了实验研究。