...显然的,它是属于某种维度的观念, 于是 Mandelbrot 根据 N(s) 的意义,把 Ds 称做「自我相似维度(Self-Similarity Dimension), 这种诠释摆脱了我们对于以长度测量长度的迷思,进而推广成以缩小版的几何形体测量原来自身的方式。
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Mine fault network is a fractal system with statistic self-similarity. Its complexity degree can be quantitatively evaluated using fractal dimension that can describe geometrical irregularity.
矿井断裂网络是一种具有统计自相似性的分形体系.其复杂程度可以用描述几何不规则性的分维来定量评价。
While the reverse faults are dominated by NE-trending faults, with strong self-similarity and larger fractal dimension (1.135 6) than that of NW-trending reverse faults (0.988 0).
逆断裂则以NE向断裂为主,自相似性强,其分维数(1.135 6)大于NW向逆断裂的分维数(0.988 0)。
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.
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。
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