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In Chapter 3, the generalized skew-symmetric solutions of the matrix equation A~TXA = B on the linear manifold S ={X e GKSR~|||XY - Z}}= min, Y, Z∈ R~}, using the canonical correlation decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the generalized skew-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

利用矩阵对的标准相关分解，给出了这类线性流形上矩阵方程A~TXA=B存在广义次对称解的充要条件及其通解表达式，并且导出了极小Frobenius范数广义次对称解的表达(来源：d7d7A7dBC论文网www.abclunwen.com)式。

Using a decomposition in canonical form, a multi-sensor distributed optimal fusion reduced-order filter for each state component is proposed based on the component fusion algorithm weighted by scalars in the linear minimum variance sense for descriptor discrete stochastic linear systems with multiple sensors. It requires in parallel the calculating of a series of scalar weights.

对带多个传感器广义离散随机线性系统，利用典范型分解，基于线性最小方差各分量按标量加权融合算法，给出了多传感器分布式最优分量融合降阶滤波器，它要求并行计算一系列标量权重。

In Chapter 5, the least-squares solutions bisymmetric matrix set of the matrix equation ATXA = B on two linear manifolds Si ={X BSRnxn\\\XY - Z\\ = min} and S2 ={X BSRnXn\XY = Z, YtTZi = ZjYu ZtffYi = Zi,i = 1,2, Y, Z e Rnxm}, by applying the singular value decomposition of matrix and the canonical correlation decomposition of matrix pairs, we obtain a general expression of the least-squares solutions of the matrix equation ATXA = B on two linear manifolds.

在第五章，我们研究了两类线性流形S_1={X∈BSR~|‖XY-Z‖=min}和S_2={X∈BSR~|XY=Z，Y_i~TZ_i=Z_i~TY_i，Z_iY_i+Y_i=Z_i，i=1，2，Y，Z∈R~}上矩阵方程A~TXA=B的双对称最小二乘解。

The results showed that there was power function relationship between the capillary water rise height and groundwater supply quantity and the time. There was linear function relationship between capillary water rise height and groundwater supply quantity and a power function between them and the time. There was linear function relationship between the capillary water rise velocity and the groundwater supply rate. Parameters could be calculated by measured data, which showed that it is possible to simulate capillary water rise process of homogeneous soil by Green-Ampt model.

结果表明：均质土毛管水上升高度和地下水补给量均与时间之间为幂函数关系，毛管水上升速度和地下水补给速率也均与时间呈幂函数关系，毛管水上升高度与地下水补给量之间呈明显的线性关系，毛管水上升速度与地下水补给速率也呈线性关系；通过试验资料可以推求有关参数；说明入渗条件下的Green-Ampt模型用于模拟均质土的毛管水上升过程是可行的。

The proof is given that the category of linear fuzzy neighborhood spaces in the sense of Katsaras is isomorphic to that of co-towers of topological vector spaces and the intersection of the category of linear fuzzy neighborhood spaces with the category of type fuzzy topological vector spaces is the extract category of induced fuzzy topological vector spaces.

证明了Katsaras的线性fuzzy邻域空间范畴与分明线性拓扑空间的余塔空间范畴同构，而Katsaras的线性fuzzy邻域空间范畴与型fuzzy拓扑线性空间范畴的交集恰为诱导的fuzzy拓扑线性空间范畴。

A new non-linear quadratic programming Bayesian prestack three-terms inversion method is developed; Firstly, this method is based on Bayesian parameter estimation theory, Gaussian distribution is used for likelihood function and modified Cauchy distribution is used for prior distribution; Secondly, covariance matrix is used to describe the degree of correlation between the parameters; rock physics relations are used to constrain the inversion results; at last, this method is transformed into non-linear quadratic programming problem, and inversion results are acquired under several constraints.

本文提出了一种基于非线性二次规划的叠前三参数反演方法。首先基于贝叶斯参数估计理论，假设似然函数服从高斯分布，并使待反演的参数服从于改进的Cauchy分布，从而提高了反演结果的分辨率；其次用协方差矩阵来描述参数间的相关程度，进一步提高了反演结果的稳定性；最后将问题转化为一个非线性二次规划的求解问题，并在多种约束下得到问题的解。

In order to investigate the application of linear chamber blasting in complex environment,firstly,action mechanism of linear charge was analyzed.

为了研究条形药包硐室爆破在复杂环境下的应用问题，首先分析了条形药包的作用机理，根据已有硐室爆破平面药包布设的半理论半经验公式，建立了条形药包平面布设数学模型。

However, in many practical problem of the linear system question, the linear system of equations has some important characteristic especially in leaning differential equation method and limited element method.

另外，与直接法相比，迭代法还具有一些明显的优点，比如占用计算机的内存单元少、计算程序比较简单、收敛速度比较快等，从而成为近年来解线性方程组采用较多的方法。

The stability of the linear periodic system is determined by it's characteristic exponent. This paper studies how to assign characteristic exponent for linear periodic system. In order to do this, the original system has to be converted to the block controllable form by rotating transform first.

摘要线性周期系统的稳定性完全由它的特征指数决定，该文研究如何配置线性周期系统的特征指数，为了配置特征指数，首先需要用旋转变换将原系统化简成块能控标准形。

This course will mainly discuss on time-domain analysis and frequency-domain analysis of determined signal, description and characteristic of linear time-invariant system, as well as time-domain analysis and transformation domain analysis of signal via linear time-invariant system.

本课程主要讨论确定性信号的时域和频域分析，线性时不变系统的描述与特性，以及信号通过线性时不变系统的时域分析与变换域分析。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。