首先引入矩阵的相似准直和的定义，讨论了它和群逆的关系，得到了一些性质和应用．。
The definition of similar quasi-direct sum of matrix is introduced. Andthe connection with group inverse is discussed. Some properties and applications are obtained.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
为了解决正确检测和识别直扩信号的问题，提出一种基于循环谱理论和矩阵变换法的盲估计算法。
In order to solve the problem of direct sequence spread spectrum signals check and recognition, a blind estimate algorithm is proposed, it based on cyclic spectrum theory and matrix transform.
本文根据消声器在实际工作过程中声管内温度发生变化的特点，推导了考虑气流和线性温度梯度情况下刚性直管的声场传递矩阵。
The transmission matrix of rigid straight pipe with mean flow and linear temperature gradient is established according to the actual case of silencer.
王中德(1989)推广了矩阵直积，给出了矩阵第二类直积和第三类直积运算，并将此运算应用于正交变换的构造。
The matrix direct product is generalized and two kinds of direct products are given by Wang Zhongde (1989). These two kinds of direct products are applied to the construction of orthogonal transforms.
为了解决正确检测和识别直扩信号的问题，提出一种基于循环谱理论和矩阵变换法的盲估计算法。
In order to solve the problem of direct sequence spread spectrum signal's check and recognition, a blind estimate algorithm is proposed, it based on cyclic spectrum theory and matrix transform.
该方法首先对地球物理和地球化学等网格数据进行二维矩阵的奇异值分解，之后用左特征向量矩阵与右特征向量矩阵的直积构造一个正交完备基。
The MSVD method constructs a self-contained orthogonal basis using the outer product of left and right eigenvector matrixes decomposed from 2D geochemical or geophysical maps.
该方法首先对地球物理和地球化学等网格数据进行二维矩阵的奇异值分解，之后用左特征向量矩阵与右特征向量矩阵的直积构造一个正交完备基。
The MSVD method constructs a self-contained orthogonal basis using the outer product of left and right eigenvector matrixes decomposed from 2D geochemical or geophysical maps.
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