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第58行： − 由于曼德布罗特可以使用IBM的计算机，因此他是最早使用计算机图形来创建和显示分形几何图像的人之一，因此他于1980年发现了曼德布洛特集合。他展示了如何从简单的规则图形创建出视觉复杂的图形。他认为那些通常被认为是“粗糙”，“杂乱”或“混乱”的事物，例如云层或海岸线，实际上都具有“'''<font color="#ff8000"> 有序度Degree of order </font>'''”。他以数学和几何学为中心的延申研究领域包括了统计物理学，气象学，水文学，地貌学，解剖学，分类学，神经学，语言学，信息技术，计算机图形学，经济学，地质学，医学，物理宇宙学，工程学，混沌理论等领域的贡献 ，经济物理学，冶金学和社会科学。+
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Because of his access to IBM's computers, Mandelbrot was one of the first to use computer graphics to create and display fractal geometric images, leading to his discovery of the Mandelbrot set in 1980. He showed how visual complexity can be created from simple rules. He said that things typically considered to be "rough", a "mess", or "chaotic", such as clouds or shorelines, actually had a "degree of order".[10] His math and geometry-centered research career included contributions to such fields as statistical physics, meteorology, hydrology, geomorphology, anatomy, taxonomy, neurology, linguistics, information technology, computer graphics, economics, geology, medicine, physical cosmology, engineering, chaos theory, econophysics, metallurgy, and the social sciences.
Because of his access to IBM's computers, Mandelbrot was one of the first to use computer graphics to create and display fractal geometric images, leading to his discovery of the Mandelbrot set in 1980. He showed how visual complexity can be created from simple rules. He said that things typically considered to be "rough", a "mess", or "chaotic", such as clouds or shorelines, actually had a "degree of order".[10] His math and geometry-centered research career included contributions to such fields as statistical physics, meteorology, hydrology, geomorphology, anatomy, taxonomy, neurology, linguistics, information technology, computer graphics, economics, geology, medicine, physical cosmology, engineering, chaos theory, econophysics, metallurgy, and the social sciences.
由于曼德布罗特可以使用IBM的计算机，因此他是最早使用计算机图形来创建和显示分形几何图像的人之一。他于1980年发现了曼德布洛特集合。他展示了如何从简单的规则图形创建出视觉复杂的图形。他认为那些通常被认为是“粗糙”，“杂乱”或“混乱”的事物，例如云层或海岸线，实际上都具有“'''<font color="#ff8000"> 有序度Degree of order </font>'''”。他以数学和几何学为中心的延申研究领域包括了统计物理学，气象学，水文学，地貌学，解剖学，分类学，神经学，语言学，信息技术，计算机图形学，经济学，地质学，医学，物理宇宙学，工程学，混沌理论等领域的贡献 ，经济物理学，冶金学和社会科学。