首先叙述了分形的数学基础，包括分形的定义、维数、分形的基本原理、典型分形集的分析。

First, it introduces the mathematic basis of fractal theory, such as the fractal definition, dimension, fractal principle and representative fractal sets.

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基于分形理论，从分形基本原理出发，提出了网格维数的二进分形计算方法，编制网格维数的计算程序。

Based on the fractal theory, from fractal fundamental theory, the computing method of binary fractal of gridding dimension was put forward and dimension computing program was worked out.

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应用计盒维数法的基本原理考察了大豆酸奶和酸牛奶是否具有以自相似性为特征的分形结构，并最终确定豆浆酸奶和酸牛奶的分形维数分别为1.9105、1.9268。

Box counting method was applied to investigate the fractal structure and the fractal dimension for soy based and dairy yoghurt was determined to be 1.9105 and 1.9268 respectively.

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