整数维分形集的切线与切平面

The Tangent Line and Plane of Fractal Sets of Integral Dimension

目的 研究分形集局部的分布特征 .方法 通过推广角密度概念为双侧角密度与余角密度 ,将切线与切平面概念引入到分形集中 .结果与结论 给出分形集的双侧角密度与余角密度的概念 ,通过它给出了分形集的切线与切平面定义 。

Aim: To study local distribution characters of fractal sets. Methods: Definition of tangent line and plane is introduced to fractal sets by generalizing angle density to bilateral angle density and coangle density. Results and Conclusion: This paper gives the concept of bilaternal angle density and coangle density of fractal sets, gives definition of tangent and tangent plane of fractal sets, and discusses its existing conditions.