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本文就地震预报中常用的分形几何中的几个数学概念做了简要的介绍,包括测度、豪斯道夫维数、计盒维数等,并介绍了有关维数的性质和估计方法。作者试图通过这些数学概念的简要介绍,使读者对分维有更准确的理解。
In this paper, we briefly introduce several mathematical concepts in fractal geometry commonly used in earthquake prediction, including measurement, Hausdorff dimension, box counting dimension, etc., and introduce the properties and estimation methods of dimension. The author attempts to introduce readers to a more accurate understanding of the fractal dimension through a brief introduction of these mathematical concepts.