查询词典 The Matrix

The stability region estimation of the singularly perturbed systems can be replaced by that of the adjoint systems, and an optimization method based on linear matrix inequality was provided to reduce the conservativeness in the estimation.

将原系统稳定域估计问题转化为低阶伴随系统稳定域的估计问题，利用线性矩阵不等式(Linear matrix inequality， LMI)优化方法估计伴随系统的稳定域以减少保守性。

Dixon method was adopted to construct a 22×22 Dixon matrix and then the greatest common divisor of two columns was extracted. After expanding the determinant of the matrix, a 64 degree univariate polynomial equation was obtained and 6 extraneous roots were canceled in the process of solving the other 3 variables.

结合矢量法和复数法建立了4个几何约束方程式，使用Dixon结式构造22×22的Dixon矩阵，对两列提取公因式后展开矩阵的行列式得到一元64次多项式方程，回代过程中去掉6组增根后得到58组解。

The Hankel transformation method has been used to turn the basicdisplacement equations and displacement-stress constitutive equations intoa system of first order non-homogenous ordinary differential equations inwavenumber domain,and by us of the matrix method,the transfer matrix ofthe medium layered is established.

利用Hankel变换，将轴对称静力问题的位移基本方程和位移应力本构方程转化为波数域内非齐次一阶常微分方程组，利用矩阵法，建立了介质层的传递矩阵，导出了层状弹性半空间轴对称静力问题奇异解的一般解析表达式。

According to these results, it is considered that in the matrix of gray cast iron nitrogen solid-solubilizes as interstitial atom in the octahedron interstice of ferrite and cementite which is not occupied by carbon atom, and causes the crystal lattice of ferrite and cementite to distort, so that the micro-hardness of the matrix increases.

依据这一实验结果，作者认为，在灰铸铁基体组织中，氮以间隙原子的方式固溶在铁素体和渗碳体中未被碳原子占据的八面体间隙里，造成铁素体和渗碳体晶格畸变，从而提高了基体组织的显微硬度。

The main achievements of this dissertation are as follows: Let W be a nonsingular matrix. 1. Problem I and Problem II are considered under the matrix set S is as the following: 1 the set of real W-symmetrizable matrices; 2 the set of real W-symmetrizable nonnegative definite matrices; 3 the set of real W-symmetrizable matrices on the linear manifold.

对于问题I和问题II，本文就S是W可对称化矩阵集合、W可对称非负定化矩阵集合以及线性流形上W可对称化矩阵集合等三种情况进行了研究，分别给出了这三种情况下问题I的解存在的充分必要条件，以及解集合的通式表达式，给出了这三种情况下的最佳逼近解，并提供了相应的数值算法和数值实例。

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。

The form and construction of the Markov matrix are illustrated by an example, and the method to fill the matrix by computer programming is explained.

通过讨论马尔可夫阵与其他疲劳载荷表征方法间的关系，表明马尔可夫矩阵含有更多信息，是较适合完整描述疲劳载荷谱的表征方法之

A methed calculated the matrix of the stress ratio by the FEM is proposed and the value of element in the matrix of the stress ...

提出了利用有限元法计算弹性矩阵中应力比矩阵的方法，并对应力比矩阵的元素取值作了初步研究。

In this thesis, according the matrix forms in quantum mechanics and the experience of the author in theories and experiments we think that quantum parallelism can be understood equally as that quantum computers process the multiplication of U matrix and vectors directly.

在本文中，由量子力学中的矩阵形式并根据作者在从理论和实验工作中的个人体会，认为该原则被等价地表述为量子计算直接进行的就是U矩阵对矢量的乘法更有利于对量子算法的理解。

Applying Lyapunov function method and the property of the matrix measure and the matrix norm, some new sufficient conditions for asymptotic stable independent of delay of the linear systems with multiple time delay are presented.

综合利用Lyapunov 函数方法，结合矩阵测度和矩阵范数的性质，通过加强不等式，给出线性多时滞系统时滞无关渐近稳定的新的充分条件。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。