查询词典 matrices

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。

Based on the concept of secondary eigenvalue and secondary eigenvector, the author gives the model for the inverse problem of secondary eigenvalue of the matrix, discusses the inverse problems of secondary eigenvalue for anti-skew-symmetric matrices on a linear manifold.

在第三章中，本文对矩阵的一类逆特征值问题进行了研究，针对次特征值、次特征向量概念，提供了矩阵的逆次特征值问题模型，讨论了一类线性流形上次反对称矩阵的逆次特征值问题。

The matrices used are phlogopite, mica containing lithia and LAS glass-ceramic.

基体采用三种材料：金云母可切削微晶玻璃、锂云母微晶玻璃、LAS微晶玻璃。

Forty-two undergraduates were classified into High-High Amplitude Group, High-Low Amplitude Group, and Low-Low Amplitude Group, according to the change patterns of their GSR waves. They were asked to reiterate classical Chinese poems and to take "subtests" of Raven's Progressive Matrices. Their lowest absolute skin resistance and scores on Raven's "subtests" were recorded before and after their performance being observed by their classmates.

根据记录GSR「波形」的结果，将四十二名大一及大二学生分为高-高振幅组、高-低振幅组、和低-低振幅组三组，使他们在「无旁观者」和「有旁观者」情境中，参加唐诗复诵和瑞文氏图型补充测验的活动，藉以探讨三组受试者在心理社会压力情境中的反应之差异。

Forty-two undergraduates were classified into High-High Amptitude Group, High-Low Amptitude Group, and Low-Low Amptitude Group, according to the change patterns of their GSR waves. They were asked to reiterate classical Chinese poems and to take "subtests" of Raven's Progressive Matrices. Their lowest absolute skin resistance and scores on Raven's "subtests" were recorded before and after their performance being observed by their classmates.

根据记录GSR「波形」的结果，将四十二名大一及大二学生分为高-高振幅组、高-低振幅组、和低-低振幅组三组，使他们在「无旁观者」和「有旁观者」情境中，参加唐诗复诵和瑞文氏图型补充测验的活动，藉以探讨三组受试者在心理社会压力情境中的反应之差异。

This is the so-called Duerlite algorithms: from the bottom row of the matrix A do elementary transformation, the diagonal elements into the bottom left of zero, and then show the effect of these lines is equivalent to transform the left by a unit lower triangular matrix, this series of unit lower triangular matrix inverse is the product of L matrices, it is also a unit lower triangular matrix.

这正是所谓的杜尔里特算法：从下至上地对矩阵A做初等行变换，将对角线左下方的元素变成零，然后再证明这些行变换的效果等同于左乘一系列单位下三角矩阵，这一系列单位下三角矩阵的乘积的逆就是L矩阵，它也是一个单位下三角矩阵。

To easily form preconditional curvilinear paths within the trust region subproblem, we employ the stable Bunch-Parlett factorization method of symmetric matrices and use the unit lower triangular matrix as a preconditioner of the optimal path and modified gradient path.

使用对称矩阵的稳定Bunch-Parlett易于形成信赖域子问题的弧线路径，使用单位下三角矩阵作为最优路径和修正梯度路径的预条件因子。

In this note, we show that for any two matrices A and B over a generalized quaternion algebra defined on an arbitrary field F of characteristic not equal to two, if A and B are similar and the main diagonal elements of A and B are in F, then their traces are equal.

本文对于特征不是2的任意域F上定义的广义四元数代数上的两个矩阵A和B，给出如果A和B相似并且它们的主对角线上的元素在F中，那么它们的迹相等。

In this note, we show that for any two matrices $A$ and $B$ over a generalized quaternion algebra defined on an arbitrary field ${\bf F}$ of characteristic not equal to two, if $A$ and $B$ are similar and the main diagonal elements of $A$ and $B$ are in $\bf F$, then their traces are equal.

本文对于特征不是2的任意域${\bf F}$上定义的广义四元数代数上的两个矩阵$A$和$B$，给出如果$A$和$B$相似并且它们的主对角线上的元素在${\bf F}$中，那么它们的迹相等。

Both Hurwitz stability and Schur stability of families of matrices are addressed using the matrix algebra method.

应用矩阵代数方法研究矩阵族的稳定性（包括Hurwitz稳定性和Schur稳定性）。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。