查询词典 modular matrix

In this paper, taking the downward continuation of potential field as an inverse problem of upward continuation, we obtain a convolution type linear integral equation for downward continuation. Making use of the orthogonal symmetry characteristic of Fourier transform matrix, and combining the principles of singular value decomposition of matrix and generalized inverse, we proposed a stable generalized inverse method for downward continuation of potential field, called wavenumber domain generalized inverse algorithm, which doesn't need the computation for inverse matrix. It resolves the instability of potential field downward continuation of large depth.

本文通过把位场向下延拓视为向上延拓的反问题，得到向下延拓的褶积型线性积分方程，再利用Fourier变换矩阵的正交对称特性，并结合矩阵的奇异值分解和广义逆原理，提出了一种稳定的不需要进行求逆运算的位场向下延拓广义逆方法——波数域广义逆算法，解决了位场大深度向下延拓的不稳定性问题。

On the basis of the conclusion above, the nonlinear weak controllable vectors can be obtained, which compose the second class of weak controllable matrix, by means of matrix transfermations of the first class of weak controllable matrix. Furthmore the second criterion of weak controllability, accessibility and strong accessibility, which is more standard, more succinct and more practical, is obtained. On the basis of the first criterion and the second criterion, several important problems about nonlinear controllability are discussed, which include 1 local controllability; 2 three classes of local controllable decomposition, separately by means of local coordinate changes in the neighborhood of a nonsingular point, a point on a singular surface or a designated point x〓 with a designated input u〓; 3 the character of controllability of the ith state variable x〓 in different controllable areas and their boundaries.

在第一判别定理和第二判别定理的基础上，我们分析了非线性系统受控性质中的几个重要问题，所得到的结论包括i得到了非线性系统在可平衡点附近的能控性判别定理；ii分别给出了非线性系统在非奇异点、s阶奇面以及在状态空间内给定的一点x〓和输入u〓上的三种状态分解形式以及相应的求解方法；利用系统的Ⅰ型弱能控矩阵与Ⅱ型弱能控矩阵秩相等的条件，得到了只用系统的前n个弱能控向量来判断系统的弱能控性的判别定理；iii通过引入系统状态分量的三类受控区域边界的定义及相应的求解方法，初步探讨了非线性系统各个状态分量在不同的受控区域及其边界上的受控性质。

Meanwhile, in order to fix defect of former methods, an optimal source array weight matrix is presented to estimate Green's function matrix by analyzing the estimation covariance of Green's function matrix.

同时指出了现有方法存在的不足，并在此基础上通过研究格林函数矩阵的估计协方差，提出了一种最佳估计算法。

CvEM::COV_MAT_DIAGONAL - a covariation matrix of each mixture may be arbitrary diagonal matrix with positive diagonal elements, that is, non-diagonal elements are forced to be 0's, so the number of free parameters is d for each matrix.

每一个混合的协变矩阵都是任意的正对角阵，也就是说，非对角位置的值必须是0，因此每一个矩阵的自由参数为d。

Construct the three-dimensional manifold element covering hexahedron, provide cover displacement function, strain matrix, stiffness matrix and stress matrix of the three-dimensional manifold element by the previous research work.

6在前人研究的基础上，构造了六面体有限覆盖的三维流形单元，推导了三维流形单元覆盖位移函数、应变矩阵、刚度矩阵、荷载矩阵等表达式。

This paper overviews the various algorithms for least square collocation, discusses the matrix QR decomposition, derives the relationship between QR decomposition and generalized inverse matrix, and obtains least square inverse used for calculating matrix. In addition, the estimation formula for least square collocation by QR decomposition and its accuracy formula are derived. A case study is conducted using gravity anomaly test and calculation to demonstrate that the QR method is correct and valid in least-square collocation calculation.

分析了目前采用的最小二乘配置法解算方法，在讨论了矩阵的QR分解方法的基础上，推导得出了矩阵QR分解与广义逆矩阵的关系，得出了可以直接利用QR分解求解矩阵的最小二乘逆，并推导了应用QR分解求解最小二乘配置的估值计算公式和精度估算公式，最后通过重力异常实例进行了计算，得出矩阵的QR分解用于最小二乘配置解算的正确性和可行性。

The decomposition theorem becomes a bridge connecting fuzzy matrix theory with Boolean matrix theory, so we start this problem from Boolean matrix.

由于分解定理建立了模糊矩阵和布尔矩阵之间的桥梁，所以我们首先从布尔矩阵开始对这个问题展开研究。

Studying the positive definitiveness of the covariance matrix from discrete data is important to design the sampling plan and provides the base for the data analysis.However, there have been few outcomes about the positive definitiveness of covariance matrix, most of which have been restricted to the Covariance-matrix of continuous sample.

研究离散型样本协方差矩阵的正定性有助于判断是否可以降低样本的维数，有利于优化抽样个数，为抽样调查的优化设计方案提供一定的理论基础；为基于特征根的多元统计分析提供理论指导。

Research Triangle Toeplitz matrix nature Diagonal extended to a non-zero constant for the formation of the matrix above 1.30 Toeplitz matrix.

研究三角Toeplitz矩阵性质，推广到对角线上为非零的一个常数的形如上三角Toeplitz矩阵的矩阵的情况。

The semi singular value decomposition A=USR is suggested,where U is an orthogonal matrix,S is a diagonalizable matrix and R is a upper-triangular matrix.

提出了半奇异值分解A=USR，其中U为正交矩阵，S为对角矩阵，R为上三角矩阵。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。