查询词典 The Matrix

The theory and approach are introduced, and the general expression containing arbitrary parameter is obtained for the feedback gain matrix. This method changes the problem of multi-input system to several problems of single-input. The number is the cycle index of system matrix. Compare with some known results, this method put forward that the least number of unknown entries of the feedback gain matrix is the order of the system matrix.

汽配置问题，得到了反馈增益矩阵的一般表达式，此表达式中含有任意参数，此方法将多输入线性系统极点配置问题转化为个数为系统矩阵循环指数的单输入系统的极点配置问题，进而推导出确定一个反馈增益矩阵的最少元素个数即为系统的阶数。

Matrix eigenvalue is an important conception in matrix theory and it has many applications in other subjects. In this section, the trace of the special form matrix is mainly discussed and the inequalities of Hermitian matrix which are extension forms of the known results are gotten.

本节主要讨论一类特殊形式的矩阵特征值和它的不等式，把已有结果推广到了一般形式。

The so-call'exportable equation'is found by nonlinear geometry method for general non-autonomous chaotic control systems which coefficient matrix of control term is functional matrix contained system variables. The homeomorphic transformation of coordinate is found under specified conditions, the coefficient matrix of control term can be transformed as constant matrix, the synchronization among chaotic systems can be realized by common control methods.

针对一般的非自治混沌控制系统中控制项系数矩阵是含有系统变量的函数矩阵，利用非线性几何线性化的方法找出所谓的"输出方程"，在一定的条件下求出坐标的同胚变换，将控制项系数矩阵变换为常矩阵，然后利用常规的控制方法进行混沌系统之间的同步化。

First, an initial projection matrix is obtained through homography between an image and a scene plane. The homograph matrix between two images, i. e., the image plane and the scene plane, can then be calculated from matching points of these two images. Thus the projection matrix of every next frame can be calculated from homograph matrix between the current image plane and the previous one. Registration of virtual objects is finally completed.

根据这个原理，首先通过一个景物平面和图像之间的单应得到初始状态相机的投影矩阵，然后对后面每帧图像和前一帧进行自然特徵点匹配，通过匹配点对计算出图像之间以及图像与景物平面的单应关系，由此就可以得到每一帧图像对应的相机的投影矩阵，从而完成虚拟物体的注册。

When the actuated joint was rotary actuation, kinematic Jacobian matrix of the manipulator was a diagonal matrix. So it was an uncoupled mechanism. As the actuated joint was linear one, Jacobian matrix of the manipulator was an identity 3×3 matrix and its determinant was equal to one. Manipulator, therefore, was singularity-free fully-isotropic throughout the entire workspace.

当以转动输入为主驱动时，运动雅可比矩阵为3×3阶对角阵，故机构为无耦合并联机构；当以移动为主驱动时，雅可比矩阵为3×3阶单位阵，且其行列式的值为1，所以在整个工作空间内机构表现为无奇异完全各向同性。

It usually takes a long time to fill the impedance matrix when using higher-order MoM. To solve this problem, the properties of the impedance matrix elements and the involved integral are investigated. Then it is proposed to take advantage of the symmetry of impedance matrix and the integral table to expedite the impedance matrix filling.

针对高阶矩量法阻抗矩阵填充时间很长的问题，从阻抗矩阵元素本身的性质和积分计算过程入手，提出了应用阻抗矩阵对称性和积分表方法两种加快阻抗矩阵填充的手段。

For this purpose,by using the geometry mean method that the product of corresponding factors from the different judgement matrix,for the different judgement matrix built by each expert in the group decision-making,the mean judgement matrix,or the judgement matrix of group decision-making,...

并利用严密的数学方法证明了"所构造的矩阵能保持一致性和满意性"的重要结论。该方法运算简单，不仅为AHP群决策判断矩阵的建立提供了一种有效的方法，而且为群决策的研究提供了一定的理论依据。

First we construct a covariance matrix from sample images, then compute the eigenvalues and corresponding eigenvectors of the covariance matrix, construct a feature matrix with the eigenvectors. Then every images in database can be projected into the feature matrix and gain a projection vector, so does the input image. Then we can judge the resemblance between input image with each image in database by computing the distance between their projection vectors.

我们首先根据采集的样本图像构造一个协方差矩阵，然后求取该矩阵的特征值，以这些矩阵特征值对应的特征向量构造出一个特征空间，然后将输入图像向该特征空间映射，将获取的映射系数与样本库中图像的映射系数进行距离计算，根据计算出的距离判定输入图像与样本图像间的匹配程度。

The Laplacian matrix of G is the difference of degree matrix of G and the adjacent matrix of G, And the Laplacian spectral radius of a graph is the maximum eigenvalue of the Laplacian matrix of G.

图G的拉普拉斯矩阵为图G的度矩阵和它的邻接矩阵之差，而图G的拉普拉斯谱半径为图G的拉普拉斯矩阵绝对值最大的特征值。

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。

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。