维数

Traditional dimension reduction methods about similarity query introduce the smoothness to data series in some degree, but lead to the disappearance of the important features of time series about non-linearity and fractal.The matching method based on wavelet transformation measures the similarity by using the distance standard at some resolution level.

传统相似性查询的维数约简方法导致时间序列的非线性和分形这些重要特征消失，基于小波变换的匹配方法是通过某一分辨级的距离标准来度量相似性。

D. Comparing with traditional measurements of fractal dimension, the remarkable merits of digital image manipulation method are simple operation, fracture surface non-destroyed, test repeated, high metrical precision and so on.

d。与传统测量分形维数的方法相比较，数字图像处理法的显著优点是操作简单，不破坏断口，试验重复性强，精度高。

Because they are all derived from the behavior of single slit island under changing yardstick, which was inconsistent with the principle of slit island method that fractal dimension is calculated from the perimeter-area relation of many slit islands.

首次研究指出：文献中对码尺依赖性问题的已有解释以码尺改变时单个分形岛的行为变化为出发点，这与小岛法从大量断面小岛的周长-面积关系得到其周线分维数的测量思想不符合。

The singular value decomposition of wavelet transformation module maximum value matrix is proposed.

提出了基于小波变换模极大值矩阵奇异值分解的方法，用该方法获得的奇异值特征矢量作为信号的特征可以压缩特征维数，而且更容易进行计算机自动识别，同时还具有时间平移不变性的突出优点。

In chapter 4 we obtain the uniform packing dimension of image set for stablesheet by means of distribution of the sojourn time and the tail probabilitydistribution for the increment maximum of stochastic process over interval.

第四章利用随机过程在区域上增量最大值的尾概率分布的估计和逗留时估计找出其象集的Packing一致维数。

In this paper,a method to determine the fractal dimension of pore-solid interface in porous solid materials by the small angle X-ray scattering is introduced.This method is also used to determine the fractal structure of fly ash-cement pastes.

简要介绍了用X 射线小角散射分析技术测定多孔固体材料中气孔固体界面分形维数的理论，并将这一理论用于测定粉煤灰水泥浆体的分形结构。

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。

Based on the disparate characteristics in multi-scale fractal dimension between the stable phonemes and their transient region, a simple and effective Initial/Final segmentation method is developed, not only with high performance in sonant Initial and zero Initial segmentation cases but also with high adaptability without any parameter training or threshold setting.

在此基础上，利用稳定声韵母段及其之间过渡段在多尺度分形维数上的不同特性设计了一种简单而高效的汉语语音声韵母切分方法。

In order to describe the distribution condition of graphite particles in spheroidal graphite cast iron, a description method based on multi-fractal was proposed.

为了描述球墨铸铁中石墨颗粒的分散均匀性，提出了基于多重分形的描述方法，该方法采用Matlab分形工具箱提取石墨颗粒分布密度的分形特征来定量描述石墨分布的不均匀性，其多重分形谱的宽度以及最大最小概率子集维数之间的差别反映了石墨分布的不均匀性。

ABSTRACT: The fractal characteristics of low silica sinter with different Brazil high grade iron ore were investigated by using Least Square to measure the fractal dimensions.

本文探讨了低硅烧结矿在不同高品位巴西粉条件下粒度分布的分形特征，并用最小二乘法测定了其分形维数。

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。