逆元

Utilizing the real representation of quaternion matrices and its characters discusses the reversibility of quaternion matrices and a account way of athwart matrix in this article.

3，利用四元数矩阵的实表示及其性质讨论了四元数矩阵的可逆性以及逆矩阵的一种计算方法

The paper addresses the existence problem of generalized inverses for elements of a Banach algebra under perturbations and derives a sufficient and necessary condition for the existence of generalized inverse.

文中讨论了Banach代数元扰动后广义逆的存在性问题。用线性算子广义逆的稳定性问题的方法，得到Banach代数元扰动后广义逆存在的充分必要条件以及稳定的一个充分条件

In part 1, we explore some properties of solution y of a backward stochastic differential equation, such as comparison theorem, reverse comparison theorem and uniqueness theorem of generator.

第一部分研究了倒向随机微分方程的解中y的性质，其中包括解的比较定理，逆比较定理，生成元的唯一性定理。

In the studies of EEG forward problems, primarily the EEG computation models are established, the analysis solution for concentric circle models and the boundary element method for piecewise humongous models are developed. These provide the basis for EEG inverse problems.

在EEG正问题的研究中，首先建立EEG计算模型，研究了针对同心球模型的解析解法和针对任意分层均匀介质的边界元法，为EEG逆问题研究奠定了基础。

To avoid the limits of traditional techniquest,he inverse boundary element methodwas used to accurately identify complex noise sources.

基于逆边界元法的噪声源识别技术，利用边界元法建立了声场与结构表面振动速度之间的声学传递向量。

Based on the additional information such as displacements or stresses provided at several internal or boundary points in the structure,combined with stochastic boundary element method and optimization technique,the basic model of the prediction of the structural reliability by inverse analysis of boundary element method is presented in this p.

本文利用随机边界元法与非线性优化技术相结合，根据弹性体内或边界上的位移、应力等附加信息，建立了结构可靠性预测的边界元逆分析法的基本模型，算例证明了该理论的有效

The paper adopts the learning method of MSVMs to classify the faults, which avoids the mathematical solution for the inverse mapping and acquires the fault information through intelligent method directly.

由于原始数据经过核主元的非线性映射后难以求得核主元空间到原始空间的逆映射，因此给故障诊断带来困难。

The generators and irreducible representation coherent stato of the SU(1,1) group are constructed by using the inverse operators of hose harmonic oscillator, and the inhomogeneous inverse differential realization s of the SU(1,1) group are derived

利用玻色振子的逆算符构造了SU（1，1）群的生成元和不可约表示的相干态，导出了SU（1，1）群的非齐次逆微分实现。

In the northwestern part of North China Craton, there is a series of the Early Proterozoic thrust structure s.

华北克拉通西北部发育一系列早元古代的逆冲构造，它们在岩石组成、构造样式、产状、运动方式和时代等方面的特征具有明显的一致性，表明该地区在早元古代经历了一次强烈的造山作用。

Firstly, an inverse eigenvalue problem for Jacobi matrices is presented: we could construct the Jacobi matrix T if we know the spectral data: the eigenvalues of T and the eigenvalues of T_1 and of T_2, where T_1 is different to the k × k leading principal submatrix of T only at the position, while T_2 is different to the × remain submatrix only at the (1, 1) position.

首先给出的是一类Jacobi阵的逆特征值问题，即给定三组实数：一组是Jacobi阵的n个特征值，一组是只修改了最后一个对角元的它的前k阶顺序主子阵的特征值，最后一组是修改了第一个对角元的后n—k阶余子阵的特征值，用这些给定的特征值来确定相应的Jacobi矩阵。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新