查询词典 transposed matrix

However in studying the transpose of matrix much focus has been given on the definition of symmetric matrix and anti-symmetric matrix while their properties have not been fully explored.

在高等代数中矩阵是研究问题很重要的工具，在讨论矩阵转置时给出了对称矩阵和反对称矩阵的定义，但对它们的性质研究很少。

The method of estimation in paper [7] is to build fitness function by the 2-norm of error matrix directly. For the error matrix is a Toeplitz matrix, a novel fitness function was presented. Then a new method, the real-valued genetic algorithm which is based on genes weights variation independently, is developed in this paper.

文献[7]提出的估计方法直接以误差矩阵的2范数建立适应度函数，文中利用该矩阵是Toeplitz矩阵的特性，构造了一个新的适应度函数，提出了一种基于基因分量独立变异的实数遗传算法。

The algorithms of MUSIC and ESPRIT are introduced, which are the most important algorithms in array signal processing. A method is proposed to make the estimation of the covariance matrix become Toeplitz matrix using the Toeplitz characteristic of covariance matrix.

第2章建立了阵列信号的模型，主要分析了两种无方向模糊的阵列：阵元数大于6的均匀圆阵和非均匀L形线性阵列，并讨论了非均匀L形线性阵列无模糊设计的方法；然后介绍了在阵列信号处理中，两种最主要的算法：MUSIC算法和ESPRIT算法。

The second method is to structure a toeplitz matrix to approach the toeplitzed signal subspace under the rule of mimimum power of noise, when the algorithm is converged, the structured toeplitz matrix is a full rank matrix, the angle information of target are all reserved and the influence of noise is minimum at this time.

第二种改进的方法是在噪声功率最小约束准则下构造一个Toeplitz矩阵，去逼近Toeplitz化后的信号子空间，当算法收敛时，所构造的Toeplitz矩阵是一个满秩矩阵，它既无损的保留了信源的角度信息又使噪声对DOA估计的影响最小。

After studying this phenomenon, the author finds that, the covariance matrix of the complex expressions of horizontal gradients of the disturbing gravity field elements has a structure of blockwise repetitive Toeplitz matrix, though the covariance within the disturbing gravity field elements is still anisotropic. Therefore, the collocation problem of the complex combination of horizontal components is similar to that of gravity anomaly, which makes the degradation be able to be completed by FFT transformation matrix.

作者研究发现，利用水平梯度的复组合，即复数表示后，扰动重力场元复组合之间的协方差函数尽管还是各向异性，但它们对应的协方差矩阵却具有分块 Toeplitz 循环阵的结构，因而水平分量复组合的配置问题与重力异常的配置问题相似，可以利用傅立叶变换矩阵进行降阶处理。

In the paper, the friction coefficient of the friction pairs of Al2O3 matrix ceramic/45# steel during sliding experiments were studied, and the worn trace's micrographs of Al2O3 matrix ceramic were observed and analyzed, and the wear mechanism of Al2O3 matrix ceramic in dry friction and oil Iubrication were analyzed.

摘 要：本文对Al2O3基陶瓷材料/45#钢摩擦副的摩擦系数与45#钢/45#钢的摩擦系数作了对比滑动摩擦试验研究，观测分析了Al2O3基陶瓷材料磨痕形貌，并就干摩擦，油润滑状态下Al2O3基陶瓷材料的磨损机理进行了分析。

Matrix object that is the matrix transpose of the matrix.

对象，该对象是此矩阵的转置矩阵。

To one quaternion matrix, according to its normal form, into which a quaternion matrix is transformed after decomposed, the types of decomposition of a quaternion matrix are divided into three large classes: diagonalized decomposition, triangular decomposition and triangular-diagonalized decomposition.

对单个四元数矩阵，以分解后的四元数矩阵的标准型作为分类的标准，将四元数矩阵的分解分为三大类：对角化分解、三角化分解、三角一对角化分解。

The Bidiagonal matrix method for the simulation of distillation and catalytic distillation is developed. The bidiagonal matrix method is proved to be better in convergcnce and stability by compared with the tridiagonal matrix method.

在多组分精馏塔的稳态模拟计算中，三对角矩阵法具有占用计算机内存少，无需计算偏导数矩阵等优点，但对强非理想性体系有时计算不收敛。

A set of mathematical expressions are derived including geometrical matrix,stress matrix,stiffness matrix of weak plane element,equation of equivalent nodol load caused by unit initial stress in element.

文中推导了弱面单位的几何矩阵~6，应力矩阵~6，刚度矩阵~6以及单元初应力引起的等效结点荷载{P}等计算公式。它们有别于一般文献所列算式。

I can do simple painting, carpentry and plumbing.

我能做简单的油漆、木工和修水管等工作。

The motivations, notations and outline of this work are also given in this chapter.

从这个意义上讲，这些时滞是无害的。然后用实例说明这三个定理的应用和互不包含性。