本文讨论了星系及其系统的两种分布：具有分数维几何性质的自相似分布和无规则分布；
Two-component model for the distribution of galaxies and their systems, a self-similar distribution with a fractional structure and a random distribution, has been discussed.
本文引用分形几何理论研究了排土场废石块度分布的分形几何特征，讨论了废石块度分布的分数维计算方法。
In this paper, the theory of fractal geometry is used to study the fractal characteristics of the particles size distribution in rock-disposal site.
分形几何学是用分数维定量地表征不规则几何体的复杂性。
Fractal geometry studies the characteristics of irregular 'geometric object and indicates quantitatively the complexity of geometric object by using concept of fractal dimension.
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