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.
其主要思想是通过引入线性变换矩阵来近似经典的局部线性嵌入(LLE)，然后通过核方法的技巧在高维空间里求解。
The main idea is to approximate the classical local linear embedding (LLE) by introducing a linear transformation matrix and then find the solution in a very high dimensional space by kernel trick.
给出了线性变换的值域与核的和是直和的充要条件，并由此得到五个推论。
This paper presents that the sum of the value register of linear transformation and thenucleus is a full and necessary condition for direct sum, and from which five inductions are obtained.
给出了线性变换的值域与核的和是直和的充要条件，并由此得到五个推论。
This paper presents that the sum of the value register of linear transformation and thenucleus is a full and necessary condition for direct sum, and from which five inductions are obtained.
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