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Finally, a hospital viscosity of plasma diagnostic system is optimized by adjoint matrix method and M-P generalized inverse matrix method of MTS. The results show that adjoint matrix method can't select effective variables and M-P generalized inverse matrix method is robust.

最后，利用马氏田口伴随矩阵法和M-P广义逆矩阵法对某医院现阶段血粘度诊断系统进行优化，说明伴随矩阵法在选择有效变量时存在的问题和M-P广义逆矩阵法的稳健性。

The theory and approach are introduced, and the general expression containing arbitrary parameter is obtained for the feedback gain matrix. This method changes the problem of multi-input system to several problems of single-input. The number is the cycle index of system matrix. Compare with some known results, this method put forward that the least number of unknown entries of the feedback gain matrix is the order of the system matrix.

汽配置问题，得到了反馈增益矩阵的一般表达式，此表达式中含有任意参数，此方法将多输入线性系统极点配置问题转化为个数为系统矩阵循环指数的单输入系统的极点配置问题，进而推导出确定一个反馈增益矩阵的最少元素个数即为系统的阶数。

Based on the projection theorem in the finite-dimensional inner product space, by making use of the generalized singular value decomposition and the canonical correlation decomposition of matrix pair simultaneously, we transform the least-squares problems of the abovementioned inconsistent matrix equations into the problems of solving the consistent matrix equations over given matrix set, and obtain the general expressions of the corresponding least-squares solutions.

S使得‖-X~*‖=‖-X~*‖，其中‖·‖为Frobenius范数，S分别表示矩阵方程 AXB=D，AXA~T+BYB~T=D，AXB+CYD=E和矩阵方程组=，=在一般矩阵集合或对称矩阵集合上不相容时的最小二乘解集合。

The program is the main description of the matrix operations, including the basic matrix operations, matrix inverse, matrix singular value decomposition, and the characteristic value and characteristic vector solution and so on.

详细说明：该程序是主要描述的是矩阵运算，包括矩阵的基本运算，矩阵的求逆，矩阵的奇异值分解，以及特征值以及特征向量的求解等等。

When scaled factor circulant matrices are nonsingular, we can find the single solution of the scaled factor circulant matrix equation; When scaled factor circulant matrices are singular, we can find the special as well as the general solution of the scaled factor circulant matrix equation; There is only an error of approximation when the fast algorithm is implemented on computers, and only the elements in the first row of the scaled factor circulant matrix and the constants in the diagonal matrix are needed by the fast algorithm.

当鳞状因子循环矩阵非奇异时，该快速算法求出线性方程组的唯一解；当鳞状因子循环矩阵奇异时，该快速算法求出线性方程组的特解与通解。该快速算法仅用到鳞状因子循环矩阵的第一行元素及对角矩阵中的对角上的常数进行计算。在计算机上实现时只有舍入误差。

Finite element method is used to build up element stiffness matrix and element mass matrix. After the combined total stiffness matrix and the total mass matrix are obtained.

采用有限元法建立不同管道元件的单元刚度矩阵和单元质量矩阵，最终形成管道结构的总刚度矩阵和总质量矩阵。

This dissertation puts forward a structuring method of some complicated problems as well as methods of combination of the judgment matrix on group decision basis demonstrates that these two ways strengthen the consistency of the judgment matrix. Besides, it makes some researches into theory of combination of judgment matrix on the group decision basis, suggests two methods of calculating the coefficient of the convex combination and puts forward a method to construct individual and comprehensive judgment matrix based on rough-set by cooperating with others accordingly.

5给出了群决策条件下复杂问题结构化方法；提出了群决策条件下群体AHP判断矩阵集结的两种方法，证明了这两种集结方法保持或改善了判断矩阵的一致性；研究了群决策条件下判断矩阵优化集结原理，给出了判断矩阵两种凸组合系数优化计算方法；合作提出了一个基于Rough Set的个体判断矩阵和综合判断矩阵构造方法。

A way of TOPSIS for multiple target decision is applied to space with matrix elements,and we can make comprehensive evaluation of information system according to the relative distance between evaluation index matrix and best solution matrix and worst solution matrix.

再将多目标决策中的逼近理想解法应用到以矩阵为元素的空间中，按照与理想解和负理想解的相对接近度去对信息系统作出综合评价。

TOPSIS for multiple target decision is applied to space with matrix elements, and we can make comprehensive evaluation of enterprise economic benefit according to the relative distance between evaluation index matrix,best solution matrix and worst solution matrix.

将多目标决策中的逼近理想解法应用到以矩阵为元素的空间中，按照评价点与理想解和负理想解的相对接近度对企业经济效益作出综合评价。

For example: Causes the diagonal matrix aspect using the matrix similarity the operation simplification, as well as using the matrix similarity determined transports in the mathematics problem in the matrix unknown element and so on.

利用矩阵的相似性使得对角矩阵方面的运算更简单化，以及利用矩阵的相似性来确定运算题中的矩阵中的未知元素等。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。