First, by redefining the within class scatter matrix and the between class scatter matrix, a new null space method was presented.

首先，通过重新定义样本的类内散布矩阵和类间散布矩阵，提出了一种新的零空间法。

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I will provide a uniform explanation for OSC in this dissertation: V2 (with its null subject and null object) is essentially a purpose clause modifying the matrix clause.

本文为动词同宾结构提供了一个统一的解释：这些句子中的V_2（连同其空主语和空宾语）本质上是目的性状语从句。

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The optimal feature vectors are extracted from the null space of intrapersonal locality preserving difference scatter matrix, which avoids the singularity and the SSS problem is solved.

通过在个体类内保局差异散度矩阵的零空间中求最优特征向量，避免了矩阵的奇异性问题，解决了小样本问题。

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