查询词典 matrix norm

The matrix =( xi, xjp having the e-th power of the greatest common P-divisorp of xi and xj as its-entry is called the e-th power GCD matrix on S. The matrix = having the e-th power of the least common P-multiple p of xi and xj as its-entry is called the e-th power LCM matrix on 5. We obtained the following results:(1) is nonsingular for any set S;(2) If S is an FC set, then the determined of has formula Det =Jpe(x1)...Jpe, where the function Jpe is the generalized Jordan totient function;(3) A formula of the inverse of is given when S is an FC set;(4) If S is an FC set, then |.

以_P的e次方为第i行j列元素的矩阵称为定义在S上的e次幂GCD矩阵，记为；以_P的e次方为第i行j列元素的矩阵称为S上的e次幂LCM矩阵，记为，我们得到了如下结果：①定义在集合S上的e次幂GCD矩阵是非奇异的；②若S是R上的FC集，则S上的e次幂GCD矩阵的行列式Det=J_p~e(x_1)J_P~e(x_2)…，J_p~e，其中J_p~e为R上的Jordan函数；③当S为FC集时，得到了的逆矩阵~-1的表达式；④证明了当S是FC集时，整除，即等于与R上另一个矩阵的乘积。

In this method the initial values of perspective projective matrix; rotative matrix and translative matrix are calculated from the fundamental matrix, than these matrices are optimized based on the coordinate value of corresponding points.

该方法从基本矩阵计算初始透视投影、旋转和竖直平移变换矩阵，然后以对应点坐标为基础对这些变换矩阵进行优化计算，从而有效地避免了优化计算的局部最小值，而且不过分依赖基本矩阵的计算精度。

The high cationic charge density on the nanosphere surface is created by incorporating a cationic conditioning agent into the solid hydrophobic matrix of the nanospheres, by incorporating a cationic charge 'booster' in the moisture sensitive microsphere matrix, or by using a cationic conditioning agent in the nanosphere matrix in conjunction with a cationic charge 'booster' in the microsphere matrix.

通过将阳离子带电&助剂&引入到水分敏感性微球基质中，或通过将纳米球基质中的阳离子调理剂和微球基质中的阳离子带电&助剂&联用，将阳离子调理剂引入到纳米球的疏水性基质中产生纳米球表面的高阳离子密度。

Based on analyzing disadvantage of URT′s passenger flow forecast by the joint mode split\ assignment model on all modes OD matrix, this paper presents a URT's passenger flow forecast with the joint mode split\assignment model on cooperant and competitive OD matrix Firstly, all modes OD matrix can be gained by trip production and distribution forecast Secondly, coopperant and competitive OD matrix can be achieved by layered and politic mod...

在分析基于全方式OD采用联合方式划分交通分配模型进行轨道客流预测不足的基础上，提出了一种基于合作竞争类OD的采用联合方式划分交通分配模型的轨道交通客流预测方法，即由出行产生和分布预测得到全方式的OD矩阵，通过分层次策略性交通方式划分法得到合作竞争类出行OD矩阵，然后采用联合方式划分交通分配模型进行轨道线网客流预测。

Based on analyzing disadvantage of URT′s passenger flow forecast by the joint mode split\assignment model on all modes OD matrix, this paper presents a URT's passenger flow forecast with the joint mode split\model on cooperant and competitive OD matrix.Firstly, all modes OD matrix can be gained by trip production and distribution forecast. Secondly, coopperant and competitive OD matrix can be achieved by layered and politic mode split method. Lastly,URT forecast can be done by joint mode split\assignment model.

在分析基于全方式OD采用联合方式划分交通分配模型进行轨道客流预测不足的基础上，提出了一种基于合作竞争类OD的采用联合方式划分交通分配模型的轨道交通客流预测方法，即由出行产生和分布预测得到全方式的OD矩阵，通过分层次策略性交通方式划分法得到合作竞争类出行OD矩阵，然后采用联合方式划分交通分配模型进行轨道线网客流预测。

Research has been done on the coupling form between the two-row planetary gear train and the shift restriction based on the matrix, and then the method of establishing mathematics model has been presented to analyze the planetary gear transmission using MATLAB. The coupling-matrix, restriction-matrix and transmission matrix form the model. All coupling-matrices corresponding two kinds of the coupling form determine the planetary gear transmission model.

基于矩阵理论对双排行星齿轮变速机构的行星排之间联结、换挡约束进行研究，提出用联结矩阵、约束矩阵和传动矩阵构建数学模型并使用MATLAB进行传动分析的方法。2种方式的联结形式所对应的联结矩阵可以确定机构所有可能的结构型式，据此得到双排行星齿轮变速机构全部型式谱图。

A Stokes matrix for the four calibration polarisations is generated with at least one variable correction parameter, and a correction matrix is determined from the Stokes matrix and a corresponding detector current matrix measured by the polarimeter.

用至少一个可变的校正参数产生四个校准偏振的斯托克斯矩阵，并且校正矩阵用斯托克斯矩阵和由偏振计测定的相应检波器电流矩阵确定。

In the thesis , firstly the problem of static output feedback H∞control was explored for discrete time singular systems. Based on the generalized Riccati inequality and linear matrix inequality, necessary and sufficient conditions were obtained for the existence of static output feedback H∞controllers, which guarantees that the resulting closed-loop system is admissible with its transfer function matrix satisfying H∞norm constraint.

本文首先利用线性矩阵不等式和广义Riccati不等式，给出离散广义系统中存在静态输出反馈H∞控制器，使得闭环系统是容许的且其传递函数矩阵满足H∞范数约束的充要条件。

Then,a new fast algorithm of the minimal norm least squares solution for linear system whose coefficients is an m×n symmetric Loewner matrix with full column rank is given by forming a special block matrix and researching the triangular factorization of its inverse.

对于工程计算中常常遇到的一类线性方程组的求解，通过构造特殊分块矩阵并研究其逆矩阵的三角分解，给出了求秩为n的m×n阶对称Loewner矩阵为系数阵的线性方程组，及极小范数最小二乘解的快速算法，该算法的计算复杂度为O+O(n2)，而一般方法的计算复杂度为O(mn2)+O(n3)。

In Chapter three, by constructing a special partitioned matrix and studying the fast triangular factorization of its inverse matrix, we respectively give fast algorithms for the minimal norm least squares solutions of linear equations which coefficient matrices are n×m Toeplitz type matrices and Vandermonde-Loewner type matrices with full column rank.

第三章通过构造特殊分块矩阵并研究其逆矩阵的快速三角分解，分别给出了求以秩为m的n×m阶Toeplitz型矩阵和Vandermonde-Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法，并通过算例将新算法与已有的法方程组的方法和正交化方法作了比较。

And he is one of the few scouts who are occasionally sent out to have dealings with other peoples.

而他也是少数的几位偶尔会被派出去和外界人打交道的巡逻人员之一。

The sons of Hebron: Korah, Tappuah, Rekem and Shema.

希伯仑的儿子是可拉，他普亚，利肯，示玛。