人们所熟知的常用以代替分形维数的各种度量将在分维谱意义下加以统一，最后讨论多重分形及其分维谱的应用。
The usual fractal dimensions familiar to all us will be united by the multifractal dimension spectrum. Finally, the applications of the multifractal and its dimension spectrum will be discussed.
将分形用于自然纹理描述，指出了单一分形维数测度用于纹理分析的局限性，并提出了尺度分维的新概念。
The limitations of single fractal dimension for texture analysis are pointed out and a new concept of scale fractal dimension is proposed.
通过演化曲线可以看出，分形维数与损伤变量随应力的递增均呈非线性增加，但分维的变化较平缓；
The evolution curve show known that fractal dimension and damage variable present nonlinear increase with the increment of stress, and the change of fractal dimension is relatively smooth.
利用分形模型，我们对北京市周边小区的管网的分形维数进行了计算，并得出相应的分维值。
Applying the model, we calculate several networks in Beijing suburb districts and yield corresponding fractal dimensions.
分形维数不仅可以表征声发射的频度，而且分维最小值往往预示着一个大破裂的发生。
Not only can the fractal dimension characterize the frequency of acoustic emission but its least value often predicts a large breakage.
本文以大量分形维数计算结果的实例为基础，着重讨论了影响分维值可靠性的因素。
In the paper influence elements on reliability of calculated values of fractal dimensions are discussed based on the many calculating examples.
结果表明，岩体强度强相关于岩体中节理分布的分形维数，分维增大导致岩体强度非线性降低。
It shows the strength of jointed rocks strongly depends on the fractal dimension of joints in rocks. The small increase of fractal...
结果表明，岩体强度强相关于岩体中节理分布的分形维数，分维增大导致岩体强度非线性降低。
It shows the strength of jointed rocks strongly depends on the fractal dimension of joints in rocks. The small increase of fractal...
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