一类具有分形特征的函数  

One Kind of Function that Possesses the Characteristic of Fracta

作　　者：张建军[1] 李顺初[2] 

机构地区：[1]西南石油学院计算机学院,四川南充637001 [2]四川工业学院计算机科学与工程系,四川成都610039

出　　处：《西华师范大学学报（自然科学版）》2003年第4期372-376,共5页Journal of China West Normal University(Natural Sciences)

摘　　要：应用Mathematica4.0研究了一类处处连续处处不可导函数的图形,并在局部范围内与可导函数进行对比分析,发现这类函数在局部范围内具有明显的分形特征.This paper has studied the graph of one kind of function that is continuous on (-∞,∞) and is not differentiable on (-∞,∞)by Mathematica4.0, and carried on comparative analysis with differentiable function in the local range, and found that this kind of function possesses the obvious characteristic of fractal in the local range.

关 键 词：分形特征 函数 连续 可导 一致收敛 

分 类 号：O241.8[理学—计算数学]