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For inverse singularity, the parallel robot is divided into several series mechanisms, and the Jacobins matrix of these series mechanisms is solved by the exponential product equation and proved to be singular when the series mechanisms are singular.

对于逆奇异，将并联机构拆分成多个串联机构，由指数积方法求得其雅可比矩阵，并证明了机构逆奇异产生时的雅可比矩阵为奇异。

In this paper,We use the singular perturbation theory and method to study the two types of singular perturbation problems with fractional derivative.

本文应用奇异摄动理论和方法研究了含有分数阶导数的两类奇异摄动问题。

In this paper, the method of singular Lyapunov function is used to study singular nonlinear systems , the sufficient conditions about its asymptotic stability and the harmonic oscillation theorm for it are given.

本文运用广义李雅普诺夫函数方法研究了一类广义非线性系统，给出了其渐近稳定的判别条件，对相应的周期系统给出了其平稳振荡定理。

R is a regular ring if and only if every singular right R-module is P-flat if and only if every cyclic singular right R-module is P-flat if and only if the homomorphic image of every P-flat right R-module is P-flat.

得到了R为正则环当且仅当每一个奇异右R-模P-平坦当且仅当每一个循环奇异右R-模P-平坦当且仅当P-平坦右R-模的同态像P-平坦这一主要结果。

The resulting linear system, the coefficient matrix of which is, typically, a 2 x 2 block symmetric or non-symmetric and singular or non-singular indefinite matrix, is of high order and ill conditioned. In order to solve such system we have to use iterative methods with fast convergence speed.

所得的离散方程组（其系数矩阵典型地是 2 x 2 块对称或非对称，奇异或非奇异的不定矩阵）是高阶和病态的，为了求解这样的方程组我们必需使用快速收敛的迭代方法。

This thesis is devoted to singular point quantities and integrability conditions of complex polynomial differential systems with resonant singular point, and center-focus determination and bifurcation of limit cycles of planar polynomial differential systems.

在第二章中，对具p∶-q共振奇点的复自治多项式微分系统引入广义奇点量的概念，它是文[103]中奇点量概念的推广，它以在实平面多项式微分系统的中心焦点判断与极限环分支中有着极为重要意义的焦点量和鞍点量作为特例。

When computing the diagonal elements of the Galerkin matrix, one will encounter the integral of Hankel function, the Green's function of 2-dimensional Helmholtz equation and the cosine weighting function, whose integrand is singular in the integration range. A new approach is proposed to deal with this kind of singular integrals, which is pivotal but have not been reported so far.

首先建立了透镜边缘上任一点的电场满足的边界积分方程，然后选择适当的正交模式函数展开端口上的电场分布，采用边界元法的思路及Galerkin法将该积分方程离散化为—矩阵方程求解即可得到透镜的多模式散射参数。

Note that regularized problems are usually defined in an infinite setting and have to be discTetized for an implementation and there have been many comparatively adult methods of calculating singular system. Therefore, there is no need to avoid the calculation of singular system in inverse problems calculating of numeric value. Here TSVD Regularization Method is very simple and quite effective one.

考虑到反问题的数值计算需要将问题离散化，化为有限维的问题来进行处理，而对于有限维算子的奇异系的计算已经有了相当成熟的各种算法，因此在反问题的数值计算中没有必要避开奇异系的计算，此时TSVD正则化方法是十分简单并相当有效的正则化方法。

The proposed detector uses singular values and singular vectors of the signal subspace in a linear MMSE multiuser detector for the DS-CDMA system.

这种新方法通过信号子空间的奇异值和奇异向量得到CDMA系统的线性最小均方误差多用户检测器。

The proposed detector uses singular values and singular vectors of the signal subspace in a linear MMSE multiuser detector for the DS CDMA system.

提出了一种基于奇异值和奇异向量的盲自适应多用户检测方法。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！