学习了分形理论的基本概念、原理以及常用的计算分形维数的方法等。
To study the basic concepts, principle and general methods to calculate the fractal dimensions of fractal theory.
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.
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.
从分形原理出发，提出了非线性机械设备系统信号的分形计算维数的概念。
In the paper, fractal calculating dimension, which is based on fractal theory, is put forwards.
结合孔隙结构分形维数计算原理，通过线性回归计算了各类孔隙的分形维数。
Combined the calculation principle of fractal dimension of porous structure, the fractal dimensions of three types of pore were obtained by linear regression.
论述了该方法的原理、鲁棒性和特征向量维数选取。
We state the principle of this method, while the robust and the eigenvector dimension are discussed.
介绍了主分量分析法的原理和步骤，由此构成的新矢量，降低了输入矢量的维数，提高了变量间的不相关性。
Comparing new input vector constructed by this method with that constructed directly, the dimension of input vector is decreased and capacity of orthogonal among the variables is enhanced.
研究了沃尔什函数在测井资料反演中降低反演维数的原理和方法。
The principle and the methodology of Walsh function decreasing the unknowns and reducing the dimensions in well logging data inversion are studied.
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.
阐述了分形与分形维数的定义，给出了铁谱磨粒分形维数和无标度区间的计算原理。
The definition of the fractal and fractal dimension were expatiated, the calculation principle of fractal dimension was set forth.
结合计盒维数算法的原理，给出一种新的盒子边界。
Based on the box counting method, a new bound of box size was put forward.
结合计盒维数算法的原理，给出一种新的盒子边界。
Based on the box counting method, a new bound of box size was put forward.
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