Fractal-based methods in analysis

基于分形的分析方法

• 批准号: 238898-2011
• 负责人: Kunze, Herbert
• 金额: $ 0.8万
• 依托单位: University of Guelph
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=524490
• 关键词: Fractal; based; methods; analysis

Fractals are mathematical entities that have useful multiscale properties; no matter the level to which we zoom in on a fractal, we always reveal more detail, structure, and self-similarity. "Fractal-based methods" refers not just to the theory and tools of fractals themselves, but also to the driving philosophy behind this mathematics. Recently, this philosophy has been used to treat problems far removed from classical fractals.

分形是具有有用的多尺度特性的数学实体;无论我们放大到分形的哪个层次，我们总是能揭示更多的细节、结构和自相似性。“基于分形的方法”不仅指分形本身的理论和工具，还指这种数学背后的驱动哲学。最近，这种哲学已经被用来处理远离经典分形的问题。