查询词典 singular complex

With the help of the fundamental theory to singular measure differential system, Green's function matrix expression of solution and well-posed boundary condition are given, together with discussing the properties of the Green's function matrix under the influence of impulsive effect In section 5, based on Lyapunov function method, we investigate that the existence of the first boundary value problem to second-order singular system by macthing the solutions to the second boundary value problem; and the existence and uniqueness of three-point boundary value problem to third order singular system by macthing the solutions to two-piont boundary value problem.

第五部分借助Lyapunov函数法，通过将第二类边值问题的解对结成第一类边值问题的解，得到了二阶广义系统的第一类边值问题解的存在性；通过将两点边值问题的解对结成三点边值问题的解，得到了三阶广义系统的三点边值问题解的存在性和唯一性。

higher order singular point ; finite singular point ; infinite singular point ; critical conditon

华东师范大学数学系；山东师范大学数学系上海 200062；山东济南 250014

Estimation of parameters for general liner functional model with singular covariance. First, the Rao decomposition of the sample variance and the known singular measure error variance are presented and then the square measure error with singular variance and the standardized condition are got.

首先讨论了样本协方差与已知的奇异度量误差方差的Rao分解，给出了含有奇异方差广义逆的二次度量误差和模型的标准化条件，证明了二次度量误差与广义逆的选取无关。

Firstly, we analysize the boundary value problem for linear singular system, several properties for linear singular system are given, and then the existence for boundary value problem to nonlinear singular system is proved by using the previous properties discussed and Schauder's fixed point theorem.

接着，利用Banach不动点定理，研究了Volterra型广义积分微分系统边值问题解的存在唯一性，最后给出了几个推论。

In this paper we suggesst a finite element method for singular two point boundary value problems with singular solution by introducing singular basis with local support.

采用具有小支集的奇异基函数的有限元方法求解奇异两点边值问题的奇异解。

This chapter clarifies the nested relationship between the matrix family of unitary, orthogonal, Givens, Householder, permutation, and row or column symmetric matrices. A precise correspondence of the singular values and singular vectors between the unitary-symmetric matrix and its mother matrix is derived and proved (hence a fast algorithm of singular value decomposition for unitary-symmetric matrix is straightforwardly obtained), and the corresponding perturbation bound is provided.

该章揭示了酉对称矩阵、正交对称矩阵、 Givens 对称矩阵、 Householder 对称矩阵、置换对称矩阵和行对称矩阵之间的逐级包含关系；推导并证明了，酉对称矩阵的奇异值和奇异向量与母矩阵的奇异值和奇异向量之间的定量关系，据此可得酉对称矩阵奇异值分解的快速算法；给出并证明了摄动矩阵的摄动界。

The flow pattern signal is approximated by convolution of standard singular function and Gaussian function on every scale, and singular exponential of signal local singular points can be worked out with least square method.

本文基于流型信号奇异性分析的结果得到了分层波状流和段塞流模糊判别的隶属度函数。

The characters of the singular point of the visible contour line of a concave rotative surface and its corresponding projection are analyzed on condition that the projection of the contour line is smooth near the singular point , the shape of the visible contour line of a concave rotative surface near the singular point is further studied.

对凹回转面可见轮廓线的投影在奇点附近仍光滑的情况下，分析了可见轮廓线本身与奇点对应点处的曲线特征以及可见轮廓线在其对称平面的投影图上与奇点对应的点的特征。对凹回转面可见轮廓线在奇点附近形状作了进一步的分析与研

The advantages and disadvantages of balanced truncation, singular perturbational method and generalized singular perturbation are analyzed. A quasi-generalized singular perturbational model reduction method is proposed.

分析了平衡截断法、平衡奇异摄动法和广义平衡奇异摄动法存在的优缺点，提出了一种近似广义奇异摄动模型降阶算法。

This paper studies the global topological structure of a kind of plane homogeneous fifth system with three special direction Suppose the system has are only one finite singular point (0,0), then we can assume b50=0, which special directions are determined by equation G=0, introduce Poincare transformation to discuss infinite singular points, according to the coefficient conditions, list all possible infinite singular points and special directions, judging their type, drawing out all kinds of phase portraits when it has three special direction.

研究了一类平面齐五次系统当其只有唯一的有限远奇点且具有三对特殊方向时的全局拓扑结构及系数条件。假设系统只有唯一的有限远奇点(0，0)，不妨设b50=0其特殊方向由示性方程G=0给出，引进poincare变换研究无穷远奇点，再根据定理中的系数条碎，列出系统所有可能的无穷远奇点和特殊方向，并判断其类型，由此画出系统具有三对特殊方向时的全局相图。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。