第四章研究了模型变换下点的影响分析，具体诊断出了中国消费数据幂变换模型下的强影响点群。
Furthermore, I study the data influential analysis on model transformation in Chapter 4 and pick out the influence observation group at the power transformation model of Chinese consumption data.
引入幂塑映射概念，利用序关系讨论了幂塑映射的性质，并给出了一类空间点在幂变换下的一些结果。
The properties of the plastic of power of simplex are established, which are generalizations and improvement of some related results in article 1.
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.
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