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The nonsingular integrals are popularly calculated by the Gauss numerical integral, and they are low in precision when the source points approach the element, and the singular integrals are complex.

非奇异积分一般采用数值积分,当配置点接近积分单元时,计算精度较低,奇异积分的计算也很复杂。

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 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。

When scalar Lyapunov function is Lipschitz continuous and regular, Matrosov theorems with respect to a closed invariant set of a class of nonlinear discontinuous systems are proposed firstly and finally, the problem of finite-time stability with respect to a closed invariant set is considered.

论文最后主要讨论脉冲系统、奇异脉冲系统、线性不确定脉冲系统、不确定脉冲系统指定衰减度以及非线性脉冲系统的奇异H∞控制问题。

The third chapter introduces the basic concepts and notations of geometric singular perturbation theory.

第三章简要地介绍了奇异摄动的基本概念,方法,特别是几何奇异摄动理论。

After the completion of DAE with removal of singular points, a DAE system may be transformed into ordinary differential equations on manifolds; it is also possible to transform DAE to a singular perturbed system as ODE.

通过将DAE完备化并去掉奇异部分,可以把DAE化为流形上的常微系统;也可以将DAE化为奇异摄动系统而得到ODE。

In this thesis we show distribution of direct singular positions in the workspace and also several singular configurations.

本文绘出奇异位置在工作空间内的分布及数个奇异构形。

The technique discussed above helps us to determine the distribution of direct singular positions in the manipulators workspace.

本研究使用上述条件找出3PPSR并联式机械手臂正向奇异位置在工作空间的分布,并发现此机构在工作空间内任何区域皆有正向奇异位置。

In the past, there exists difficulty for calculating nearly singular integrals arising from boundary element analysis of the problems of thin body. However, by now, the difficulty of nearly singular integrals has been resolved by analytical integral algorithm, which has been put into uses in analyzing the conventional structures and thin body structures in the potential problems.

过去边界元法求解薄体结构存在着几乎奇异积分的困难,目前几乎奇异积分问题已得到成功解决,解析积分算法也已成功应用于分析二维位势问题常规结构和薄体结构。

Especially, the generalized matrix is extremely important in singular linear ordinary differential equations systems and the solution of singular difference equations systems.

特别地,这种广义逆矩阵在奇异线性常微分方程组以及奇异差分方程组求解问题中有重要的应用。J.H。

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