scatter matrix

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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This article makes a research on the states of positron-electron scatter, and calculates the scattering matrix element, differential cross-section and the tatol section.

本文探讨了正负电子散射的几种情形，并分别计算出散射矩阵元、微分截面以及总截面。

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We showed that every sample in a given class produces the same unique common vector when they are projected onto the null space of the within-class scatter matrix.

本文证明了对给定的某一个类别，将其每个样本投影到类内散度矩阵的零空间时，可得到同一个唯一的平凡向量。

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The improved PCA is used to reduce the dimension first to get the optimal characteristic subspace of the original sample data set. In this process, the intra-class scatter matrix of the characteristic subspace should be ensured to be non-singular.

首先，用改进PCA算法对原样本降维，获得最优特征表示子空间；然后，在保证该子空间类内散度矩阵非奇异的基础上，作改进的线性判别分析。

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one algorithm uses the within-class scatter matrix of the samples in the training set while the other uses the subspace methods and the gram-schmidt orthogonalization procedure to obtain the discriminative common vectors.

第一种算法利用了样本训练集的类内离散度矩阵来得到可判别平凡向量，另一种算法用子空间法和克莱姆&施密特（Gram-Schmidt）正交化来得到可判别平凡向量。

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As a consequence, the within-class scatter matrix is singular and the Linear Discriminant Analysis ( LDA) method cannot be applied directly.

结果，使得类内离散度矩阵总是奇异的，所以不能直接使用线性判别分析（LDA）方法。

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First, an uncorrelated projection space is constructed based on the total population scatter matrix.

首先根据总体散布矩阵构造无相关投影空间.

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it redefines the between-class scatter matrix by adding a radical basis function ( rbf). therefore, it can work better than the traditional methods.

该方法重新定义了样本的类间散布矩阵，在原始的定义基础上增加了一种径向基函数（RBF）调节类间距离，使得在选择投影方向时能更好地分开各类样本；

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