维数理论

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。

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。

The started-point is the semi-classical and quantum SRS theory.Withdifferent boundary and initial conditions which corresponding to differentexperimental conditions,the equations were solved in a special space(with givendimension,orthogonality and transferring relation).

论文力图在这些方面作些尝试，其基本出发点以受激拉曼的半经典与量子理论为基础，不同的实验条件给出不同的边界条件和初始条件，在不同的空间(不同的维数，不同正交特性及变换关系)中求得具体的解。

Renormalization group method which calculates fractal dimension theoretically is the most useful tool when we study critical phenomena of phase transition.

重整化群方法是研究相变的临界现象最有力的工具，它是一种由理论求得分形维数的方法。

In accordance with chaotic essence of speech signals , syllable segmentation in continuous speech is researched by fractal theory . an approach of syllable segmentation using variance fractal dimension is proposed , its performance is analyzed in detail . the method can discriminate between voiced and unvoiced , between surd and sonant , but it can hardly discriminate between sonant

本文根据语音信号的混沌本质，利用分形理论研究了汉语连续语音中的音节分割问题，提出了基于方差分形维数的音节分割方法，并详细分析了该方法的性能，它能很好地解决了无声与有声、浊音与清音间的分割问题，但很难解决浊音间的分割问题，当浊音相连且过渡段较短时，该方法无法实现它们之间的分割。

On the other hand, this text Will use the similar dimension of fractal theory to the data of distribution of the mineralizing element,ore, structure to set up unusual lower limit of them and has probed into the

另一方面将分形理论中的相似维数算法运用于金元素分布数据，矿点数据，图文资料当中，从而建立金元素分布的异常下限、线性构造分布的异常下限以及金矿点分布的异常下限，并且进一步对结果从定量的角度探讨了三者的关系。

The paper applies the fractal theory to the research of fractal dimensions of the content of Au in Shuangqiaoshan Group, and discusses the relation.

本文利用分形理论研究了双桥山群金含量的分维数结构特征，并对其含金性进行了评价，初步探讨了双桥山群赋存矿床类型、矿床作用与其分形结构特征之间的关系。

It is proved that the topological neighborhood is self-adaptive and goes to triviality with the increase of the dimension.

对拓扑邻域进行了理论分析，说明其是自适应的，随着维数的不断升高，趋于平凡拓扑邻域。

And both the theoretical and the experimental results indicated that the larger the surface fractal dimension, the greater the heat flux of dropwise condensation.

同时理论和实验结果均表明，冷凝表面的分形维数越大，相应的滴状冷凝热通量也越大。

With the reconstruction in phase space,the formulas of r elative dimension D2,representing the dynamic characteristics of crack,are obta ined.

文摘：在探讨用混沌与分形理论研究混凝土大坝裂缝演变机理的基础上，建立了裂缝演变的动力学方程组，通过相空间重构，得出显示裂缝动态特性的关联维数D2的表达式。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。