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.
没有人知道分解电子和夸克是否可能，但粒子物理学家们一直在尝试着。
Nobody knows if it is possible to cut an electron or quark but particle physicists keep trying.
但同时这些分歧也部分解释了，为什么一些理论和批评很晚才出现，虽然这个文学传统一直很高产。
But in the meantime that may partly account for a certain delay in the emergence of theory and criticism given the long-standing richness of the literary tradition.
文章讨论了线性空间的根子空间分解，并对线性空间分解成根子空间的直和给出了较为初等的证明。
In this paper, we have discussed root subspace decomposition of linear space, and for the linear space have decomposed direct sum of root subspace, a primary proof is given.
证明了任意一个(A,B)不变子空间一定能分解成一些根子空间的直和。
It is proved that the (a, b) invariant subspaces can be always decomposed into a direct-sum form of some radical subspaces.
将回弯头分解为直管段和回弯两部分。
图像分解和图像增强都是图像处理中关键的预处理技术，而围绕小波变换在这两方面的图像处理算法一直是人们研究的热点。
Image decomposition and image enhancement are the key technology of image processing. The algorithms of image processing based on wavelet transform are a hot topic.
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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