fractal

• n. 不規則碎片形

來自PIE*bhreg, 分開，破開，詞源同break, fragment, fraction. 用於數學名詞。

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.

而在音樂作曲領域,音樂學者對古典音樂的分析中,發現音樂也有分形性.

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

下沉量和水平移動量的分形插值擬合曲線與實測岩移數據吻合較好.

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

最後,繪製的矢量分形圖案被保存成JPG文件格式.

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

分形維數是描述圖像粗糙程度的主要參數.

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

分形紋理能夠準確刻畫圖像的空間特征信息,在遙感圖像分類中作為空間特征信息的補充.

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