摘要
通过海岸线长度问题、里查逊经验法则、分数维数和统计自相似性等线索,对《大不列颠的海岸线有多长》的内容及思想进行深入探析,指出它的发表标志着分形理论的萌芽,阐述了它对分形几何诞生的贡献。论文还揭示出芒德勃罗早期的分形思想,论述他在大自然中实现了维数由整数到分数的飞跃。
Through the clues of the length of coastline problem, Richardon＇s empirical law, fractional dimen- sion, Statistical self-similarity,etc, this paper explores and analyzes the content and thought of ＂How Long is the Coast of Britain deeply by pointing out the publication of this article marks the sprouting of fractal theorey and expounding its contribution to the birth of fractal geometry. Finally, it revealed Mandelbrot＇s early fractal thought and discussed Mandelbrot is the person who realized a leap of the dimension from integer to fraction in the natron.
作者
江南
曲安京
JIANG Nan1,2, QU Anjing1(1. Institute for Advaneed Studies on the History of Seienee, Northwest University, Xi＇an 710127, China;2. College of Seienee, Xi＇an Shiyou University, Xi＇an 710065, Chin)
出处
《西北大学学报（自然科学版）》
CAS
CSCD
北大核心
2018年第3期466-470,共5页
Journal of Northwest University（Natural Science Edition）
基金
国家自然科学基金资助项目(11571216)
关键词
海岸线
统计自相似性
分数维数
分形几何
coastline
statistical self-similarity
fractional dimension
fractal geometry
