查询词典 density matrix

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。

Using minimum upper bound and matrix Riccati equation, a robust lower guaranteed cost fault tolerant controller is designed for interval matrix systems with performance index in a finite or infinite time interval. The systems under consideration have uncertainties both in system matrix and input matrix.

利用最小上界及矩阵Riccati方程，给出了系统矩阵和输入矩阵均含有不确定性时，区间矩阵系统有限时间及无限时间保低成本鲁棒容错控制器设计方法。

We analyze the essence of affine reconstruction and prove the sufficient conditions that a reversible matrix can be an infinite plane homography matrix and we can not uniquely decide an infinite plane homography matrix from fundamental matrix.

详细分析了仿射重构的本质，证明了可逆矩阵为无穷远平面单应矩阵的充分条件，以及从基本矩阵无法唯一确定无穷远平面单应矩阵。

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。

In Chap 3, we give the definitions of left inverse and right inverse; present the fast algorithms of left inverse and right inverse for Toeplitz matrix, Hankel matrix, Loewner matrix and Vandermonde matrix with mxn order.

第三章先给出左逆及右逆的定义，然后分别给出了求m×n阶Toeplitz矩阵、Hankel矩阵、Loewner矩阵、Vandermonde矩阵的左逆及右逆的快速算法。

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。

Among thses matrices, bidiagonal matrix and approximately lower triangular array matrix have determinate construction and can provide linear encoding algorithm, and both subscript matrices, masking matrix and permutation matrix need to be redesigned.

其中双对角线矩阵和近似下三角阵列矩阵是确定结构的，具有高速线性编码的功能；而两种下标矩阵、模板矩阵和置换矩阵均具有类随机结构特征，可以根据需要进行再设计。

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。

Then, we set up the double-row monodromy matrix of the Hamiltonian, the transfer matrix and the reflection equation of the system with the help of the scattering matrix and the reflecting matrix.

接着借助量子反散射方法，运用两体散射矩阵和反射矩阵，构造了双行monodromy矩阵、转移矩阵和系统的边界反射方程，从而详细证明了系统的精确可解性。

However, the properties of nilpotent matrix have not been much explored although its definition is given in discussing the multiplication of matrix, As special forms of matrixes, nilpotent matrix plays a key role not only in the theory of matrix but also in actual application.

幂零矩阵作为特殊矩阵无论在矩阵理论方面，还是在实际应用方面都有重要的意义。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。