fractal

• n. 不规则碎片形

来自PIE*bhreg, 分开，破开，词源同break, fragment, fraction. 用于数学名词。

fractal (n.)

"never-ending pattern," 1975, from French fractal, from Latin fractus "interrupted, irregular," literally "broken," past participle of frangere "to break" (see fraction). Coined by French mathematician Benoit Mandelbrot (1924-2010) in "Les Objets Fractals."

Many important spatial patterns of Nature are either irregular or fragmented to such an extreme degree that ... classical geometry ... is hardly of any help in describing their form. ... I hope to show that it is possible in many cases to remedy this absence of geometric representation by using a family of shapes I propose to call fractals -- or fractal sets. [Mandelbrot, "Fractals," 1977]

1. Some musicology researcher discovered that classic music has fractal character.

而在音乐作曲领域,音乐学者对古典音乐的分析中,发现音乐也有分形性.

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2. The fractal interpolating fitting curves are well consonant with the observation data.

下沉量和水平移动量的分形插值拟合曲线与实测岩移数据吻合较好.

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3. The vector graph of fractal image was saved as JPG file finally.

最后,绘制的矢量分形图案被保存成JPG文件格式.

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4. Fractal dimension is an important parameter to characterize roughness in an image.

分形维数是描述图像粗糙程度的主要参数.

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5. The fractal texture can describe the space characteristic information of image correctly.

分形纹理能够准确刻画图像的空间特征信息,在遥感图像分类中作为空间特征信息的补充.

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