根据小波多分辨率分析和水文序列的统计自相似性，提出了水文序列分形维数的小波估计方法，给出了其计算步骤。
Based on the statistical self-similarity of hydrolgy time series, a new approach for estimating the fractal dimension by using successive wavelet transform coefficients is proposed.
共混过程中的相区尺寸的演变过程具有自相似性，通过求取分形维数，从数量意义上，分析研究相分散动力学过程机理。
The result also show that evolvement process of the phaseregion size has the self-similarity and the fractal dimension can be a good means to study the evolution law of phase dispersion dynamics.
提出了时变维数的概念，对原有分数布朗运动模型加以拓展，使其成为具有局部自相似性的随机过程。
The concept of varying-time dimension is presented and the original fractional Brownian motion model is extended to be a locally self-similarity stochastic process.
应用计盒维数法的基本原理考察了大豆酸奶和酸牛奶是否具有以自相似性为特征的分形结构，并最终确定豆浆酸奶和酸牛奶的分形维数分别为1.9105、1.9268。
Box counting method was applied to investigate the fractal structure and the fractal dimension for soy based and dairy yoghurt was determined to be 1.9105 and 1.9268 respectively.
本文主要探讨几个特殊自相似集的豪斯道夫维数与盒维数的计算方法。
In this paper, we discuss the calculation method of Hausdorff dimension and box dimension for several special self-similar sets and obtain the corresponding results.
灰度共生矩阵法能够从像元的灰度相关性上对纹理特征进行描述，而分形维数反映了纹理的结构自相似特征。
GLCM describes texture features from pixel correlation of gray and the fractal dimension reflects the structure of self-similar.
自相似测度的研究可以追溯到上个世纪30年代，随着研究的深入，人们逐渐发现它与调和分析、代数数论、动力系统及维数的估计都有密切的联系。
The self-similar measure has been studied since 1930's, revealing connections with harmonic analysis, the theory of algebraic numbers, dynamical systems and Hausdorff dimension estimation.
研究结果表明：不同温度下油页岩内部裂隙的分布具有很强的自相似性，符合分形规律，分形维数为1.0 ~ 1.5。
The achieved results show that the thermal fissures have strong self-similarity according with fractals laws, and the values of fractal dimensions are ranged from 1.0 to 1.5.
研究结果表明：不同温度下油页岩内部裂隙的分布具有很强的自相似性，符合分形规律，分形维数为1.0 ~ 1.5。
The achieved results show that the thermal fissures have strong self-similarity according with fractals laws, and the values of fractal dimensions are ranged from 1.0 to 1.5.
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