关键词: 分形, 规范精度维数, 伸缩准则, 局部准则

Abstract:

Through the discussing  the necessary characteristics that fractal dimension should possess, we drew the stretching criterion and local criterion on fractal dimension, which are a universal standard for the characterization of dimension. We also analysed the normal dimension with accuracy, and proved that
 the dimension satisfies both stretching and local criterions.

Key words: fractal, normal dimension with accuracy, stretching criterion, local criterion