V2EX mandelbrot

Mandelbrot

定义 Definition

Mandelbrot 通常指 “曼德勃罗特(集)”the Mandelbrot set):复平面上的一个著名分形集合,由反复迭代公式 \( z_{n+1}=z_n^2+c \) 得到,以其无限细节、边界复杂和自相似结构闻名。(也可指提出相关研究的数学家 Benoit Mandelbrot 本人。)

发音 Pronunciation (IPA)

/mndlbrt/

例句 Examples

The Mandelbrot set is famous for its endless detail.
曼德勃罗特集以其无穷无尽的细节而闻名。

When you zoom into the Mandelbrot set, new shapes keep appearing along the boundary, revealing a rich fractal structure.
当你不断放大曼德勃罗特集时,边界处会不断出现新的形状,展现出非常丰富的分形结构。

词源 Etymology

Mandelbrot 来自人名 Benoit Mandelbrot(贝努瓦曼德勃罗特)。他在20世纪推广并命名了“分形(fractal)”概念,并推动了对曼德勃罗特集等迭代生成图形的研究与普及,因此该集合以他的姓氏命名。

相关词 Related Words

文学与著作中的用例 Literary Works

  • James Gleick《Chaos: Making a New Science》(《混沌:开创新科学》):介绍混沌与分形发展史时提及曼德勃罗特与曼德勃罗特集。
  • Benoit B. Mandelbrot《The Fractal Geometry of Nature》(《自然的分形几何》):分形理论经典著作,与曼德勃罗特集的思想背景密切相关。
  • Heinz-Otto Peitgen & Peter H. Richter《The Beauty of Fractals》(《分形之美》):以大量图像与讲解展示包括曼德勃罗特集在内的分形图形。
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