研究结果表明：地震分布的多重分形维数谱和奇异性谱对于一些典型震区的强震发生具有中期预报价值。
The results show that the medium term symptoms of strong earthquakes in some regions can be proposed from the multi fractal dimension spectrum and singularity spectrum of earthquake distribution.
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.
首先通过计算原始图像和特征灰度图像的分形维数实现第一次的粗分类提取，然后采用多重分形奇异谱方法进一步完成了细分。
At first, the fractal dimension is extracted from the original image and special gray image for the rough classification, and then the multi-fractal dimension is used for further classification.
采用多重分形改进算法提取往复压缩机振动信号的多重分形特征，得到了轴承故障的广义维数谱。
The multifractal features are extracted from the vibration signals of different spots on reciprocating compressor using the improving arithmetic, the general dimension spectrum of bearing.
采用多重分形改进算法提取往复压缩机振动信号的多重分形特征，得到了轴承故障的广义维数谱。
The multifractal features are extracted from the vibration signals of different spots on reciprocating compressor using the improving arithmetic, the general dimension spectrum of bearing.
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