摘要
分形理论是现代非线性科学中的一个重要的分支,是科学研究中一种重要的数学工具和手段,分形理论的数学基础是分形几何。本文介绍了分形理论的创始、发展、应用领域、研究前景,并且给出了经典分形图形如Koch曲线、Sierpinski缕垫的分形维数值。
Fractal theory is an important branch of modern nonlinear science and is an important mathematical tool and method in scientific research. The theoretical principle of fractal theory is fractal geometry. This paper mainly presents the origin, development, application area and status of fractal theory, the future of the fractal research .The fractal dimension of .classical fractal pictures like Koch curve and Sierpinski gasket are also given in this paper.
出处
《山东英才学院学报》
2008年第4期55-59,共5页
Journal of Shandong Yingcai University
关键词
分形理论
分形几何
自相似性
分形维数
fractal theory
Fractal Geometry
self-similarity
fractal dimension