维数

Based on analysis of the conclusions in the statistical learning theory,especially the VC dimension of linear functions,linear programming SVMs are presented,including linear programming linear and nonlinear SVMs.

本文通过对统计学习理论中一些重要结论，特别是线性函数 VC维数的分析，得到了一种线性规划支撑矢量机，包括线性规划线性支撑矢量机和线性规划非线性支撑矢量机。

A SCNN approach is applied to solve linear and eigenvalue problem of the model. The scale of training set of the neural network in this approach is found only relates to the dimension of element stiffness matrix.

研究并提出了采用SCNN算法用于该问题的线性和特征值求解，且该算法中神经网络训练集的规模仅与单刚的维数相关。

Keywords : Linear space , Subspace , Basis , Dimension.

关健词：线性空间，子空间，基，维数。

When the number of facial feature dimensions is much larger than the number of face samples, the subspace learned from the common linear subspace is not smooth and sparse solutions can not be obtained.

当人脸特征维数远远大于样本数目时，一般线性子空间方法学习得到的嵌入子空间非光滑且不能获得稀疏解。

The phase pattern of velocity of molecular motion is compared in saturated state of liquid phase and vapor phase.

应用本文提出的约化规模法，获得了不同温度条件下分子分数布朗运动的Hurst 指数和轨迹分维数

Programming calculated two-dimensional array of elements in the largest and smallest values and its loc...

编程求出二维数组中的最大和最小元素的值及其位置。

However, if the evaluation length is too short, the structure function logarithmic value of surface profile is scattering.

评定长度也基本上不影响分形维数的大小，但是当评定长度过小时，轮廓曲线的结构函数双对数坐标图会出现离散化现象。

By doing so, the dimension of attribute can be reduced effectively, the noise can be filtered successfully and the underlying semantic structural relation will be stressed.(3) The dissertation carries on expanded research on double-bases cooperating mechanism in terms of pattern, discusses and proves the important structure mapping theorem of the above mechanism.

该方法通过小波变换及潜在语义索引算法将向量空间模型中的"特征词项空间"转化为Hilbert子空间——"概念空间"的范畴，从而有效地降低了特征项维数、过滤掉文本数据中的噪声、突出了文本数据的深层语义结构关系。

Firstly, we select features by using CHI distribution. Secondly, we cluster the selected features by using an improved method which based on density. In virtue of the sort distribution information, we reduce the number of features twice and the information lost few. Lastly, based on the sort of texts, we use the distributing of probability to express text with matrix. By using matrix norm, we realized the text categorization.

首先通过分布对特征项进行选择，然后使用一种改进的基于密度聚类方法对选择后的特征项进行聚类，借助类别分布信息，在尽量减少信息缺失的前提下先后两次对文本特征维数进行了压缩；在基于类别概率分布的模式下实现文本的矩阵表示，借助矩阵理论进行文本分类。

At the same time, to counter the problem that traditional coding method of genetic algorithm is difficult to design for this model, conventional genetic algorithm is modified by extending encoding method form digital string to matrix and defining corresponding genetic operator operation, this make encoding clear and understanding easy.

同时，针对遗传算法传统编码方案所存在的问题，提出了遗传算法的改进方案，将染色体结构由传统的数字串扩展到多维数组，并定义了相应的遗传算子操作，使得编码清晰、易于理解，遗传算子操作方便。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。