查询词典 singular

This paper shows that the Lebesgue measure of the singular matrices in R\+\{n×n\} is zero.

证明了 n阶实矩阵集合中奇异矩阵集合的勒贝格测度等于零，n维实空间中 m个随机向量线性无关的概率为

Chief among the candidates for extinction is the rare white lemuroid ringtail possum, a singular species that Flannery, the paleontologist, describes as "our panda."

在消失的物种中最具代表性的，是稀有的白狐猴浣熊负鼠，古生物学家 Flannery 描述为"我国的熊猫"。

It is discussed that the methods of discrimination of the stability of the singular point of nonlinear autonomous system by using of eigenvalue,center manifold and Liapunov function .

给出了利用特征根、中心流形和李雅普诺夫函数判断非线性自治系统奇点稳定性的方法。

To weaken the influences of the position-dependent periodic disturbances and parameter uncertainties, the robust repetitive controller was designed, which associated structure singular value theory with the discrete-time repetitive control theory. The problem of robust repetitive control was transformed into one of H∞ optimal control using linear fractional transformation. The robust repetitive controller was achieved using D-K iteration procedure and made the servo system have stability, robustness and tracking performance.

为了削弱周期性扰动及参数变化不确定性的影响，将重复控制和结构奇异值理论相结合，利用线性分式变换(linear fractional transformation，LFT)将鲁棒重复控制问题转换成H∞最优控制问题，采用D-K迭代法设计鲁棒重复控制器(robust repetitive controller，RRC)，实现系统的稳定性和鲁棒性，提高系统的跟踪特性。

Singular value decomposition and Least Squares QR factorization are two basic methods for a linear equation group in seismic tomography.

奇异值分解法和最小平方QR分解法是求解反演成像中线性方程组的两种基本解法。

Based on the explicit formulation of matrices on the given linear manifold, the general expression of the solutions to this least squares problem is obtained by using the method of the singular value decomposition and the unitarily invariant of the Frobenius norm.

在推导出所给线性流形中任意矩阵的显式表达的基础上，利用奇异值分解和Frobenius范数的酉不变性得到了该最小二乘问题通解的一般表达式。

In addition, by applying the quotient singular value decomposition of a matrix pair, we obtained a general expression of the least-squares solutions of the matrix equation A~TXA — B on the linear manifold.

在第四章，我们研究了线性流形S={X∈CSR~|‖XY-Z‖=min，Y，Z∈R~}上矩阵方程A~TXA=B的中心对称解。

In Chapter 2, the D-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ D~(-2)SR~|XZ = Y, Y = Y{D~2Z+D~2Z, Z~TD~2Y = Y~TD~2Z, Y,Z∈ R~}, by applying the generalized singular value decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the D-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

运用矩阵对的广义奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在D对称解的充要条件及其通解的表达式。另外给出了它的D对称最小二乘解的表达式。

In Chapter 4, the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ CSR~|||XY - Z||= min, Y,Z ∈ R~|}, using the quotient singular value decomposition of matrix pairs, the necessary and sufficient conditions for the existence and the expressions for the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold are established.

利用矩阵对的商奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在中心对称解的充要条件及其通解表达式。

By using matrix norm, matrix singular value, non-negative matrix theory, the regions of numaerical range and spectum of operator polynomial and the regularity of operator linear pencil are obtained.

8应用矩阵范数理论、矩阵的奇异值理论、非负矩阵的理论、友矩阵、算子的谱理论为工具，获得了算子多项式数值域具有的特性及其包含范围，算子多项式数值域与n-次数值域的关系，最后研究了算子线性束正则性的等价条件及谱分布情况。

After explaining total design of automated test system for microcircuit , the thesis introduces GPIB standard .

文章在说明了微电路模块自动测试系统的总体设计后，对GPIB标准进行了介绍。

He interceded in my behalf.

他替我说情。