英汉词典

fractal 基本解释

• n. 不规则碎片形

fractal 词态变化

fractal 中文词源

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

fractal 英文词源

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]

fractal 英文释义

1. (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry

fractal 双语例句

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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fractal 实用场景例句

With decreasing fractal dimension, the softening degree increases and the deformation resistance decreases.

分形维数越小, 软化过程进行得越充分,金属的变形抗力越小.

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Result: The fractal dimension of EMG signals increased when the muscle gradually falls into fatigue state.

结果: 随着肌肉逐渐进入疲劳状态,肌电信号分维数参数呈现出增长的趋势.

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Calculation of 1 D, 2 D, 3 D box fractal dimension, foreign website, I feel good.

计算1D, 2D, 3D的分形盒维数, 国外网站下载, 感觉不错.

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The second part is about the application of chaos and fractal.

第二部分为混沌和分形应用的三个实例讨论.

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In the terms of fractal statistics, fractal market also existed.

从分形统计学的角度看, 分形市场也可以得到统计学支持.

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Markets are fractal, to borrow a term from chaos theory.

市场是分形, 借用了混沌理论.

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Natural parameters inter wells of reservoir are predicted by fractal kriging technique.

最后,利用分形克里格技术对储层参数进行井间及外推插值.

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Calculation of fractal dimension images of a few procedures have been tested, good results!

计算图像分维的几个程序,都已测试过, 效果不错!

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Fractal theory was used to investigate the configuration characteristic and physiological function of root system.

应用分形理论研究植物根系的形态结构特征和生理功能.

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Fractal dimension does have some correspondence with the type of failure.

分形维数与故障类型之间存在某种对应关系.

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The fractal theory was introduced to study the relationship between sandy alumina morphology and strength.

应用分形理论研究了砂状氧化铝表面形貌和强度的关系.

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Fractal theory is an important tool to analyze military medicine.

分形是解析、认识军事医学系统的有力工具.

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In this paper, the breakthrough is to quantify soil microstructure by fractal theory.

本文以分形理论作为有效解决土体微结构量化问题的突破点.

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A modified fractal BET model of absorption has been presented.

本文提出了分形BET模型的改进形式.

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The classic fractal images abroad and home were collected to set up a image data base.

同时搜集国内外经典分形图案,丰富图案素材,建立一个分形图案素材库.

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This paper proposes a method of rule composition based on fractal image primitives for fractal composition.

针对分形构图,提出一种基于分形图元的规则构图方法.

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Computer graphics to help people open the door to fractal geometry.

电子计算机图形显示协助了人们推开分形几何的大门.

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In our paper, we mainly study how to analysis economic time series using fractal methods.

本文主要研究如何用分形方法来分析经济时间序列.

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Then introduce the third dimension using of dualistic fractal interpolation, form a project IFS.

由二元分形插值函数引入第三维的值, 构成射影迭代函数系统.

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Some fractal structure consisting of many molybdenawhiskers are observed after heating at 750 ℃.

在750℃加热后,观察到由许多氧化钼晶须所组成的分形结构.

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The relation between grain size and fractal dimension is investigated.

考察了晶粒度与分形维数之间的关系.

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Compared with box counting method , the proposed method avoids jumpiness of calculated fractal dimensions.

较之盒维数算法, 避免了计算分数维数值的跳变现象.

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The Fractal Brownian Motion ( FBM ) provides effective mathematics model, which has important application in Computer Graphics.

分形在计算机图形学领域有着重要应用. 其中的分形布朗运动 ( fBm, fractalBrownian motion ),为描述地形表面提供了有效的数学模型.

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In this paper , the fractal theory of floc structure is briefly addressed.

絮体结构和强度特征是絮凝过程的重要参数.

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Fractal Geometry has been a new research field in recent years.

分形几何学是近年来新兴的一门学科.

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