“这是一个分形问题，”马库斯说。
这里有几个可供下载的分形几何软件。
There are several fractal geometry software programs available for download.
分形几何在土壤学中的应用及其展望。
Application of Fractal Geometry in Pedology and its Prosptects.
基于分形理论的汽轮发电机组故障诊断。
Fault diagnosis of the generator set based on fractal theory.
质量是分形的。
自然界中更大的尺度上也存在分形对象。
主枝的两半长分形，各自形成单独的树。
典型的例子包括图形处理、强力搜索、分形和粒子模拟。
Classic examples include graphics processing, brute-force searching, fractals, and particle simulations.
并用分形几何的方法描述砂轮表面轮廓形貌。
Using the method of fractal geometry to describe the profile of grinding wheels.
花椰菜中的天然不规则分形(Fractal)。
分形理论则提供了一种发现秩序和结构的新方法。
More over, the Fractal theory provided another method to find order and configuration.
你，作为一个个体，希望实现一个改变（最初的分形形状）。
You, as an individual, wish to effect change (the initial fractal shape).
最后，绘制的矢量分形图案被保存成JPG文件格式。
The vector graph of fractal image was saved as JPG file finally.
提出了一种基于自适应四叉树分形编码的数字水印技术。
This article introduces a digital watermarking technology based on adaptive quadtree fractal coding.
应用分形几何理论，研究了推土机性能分布的分形特征。
The fractal characteristic of the bulldozer performance distribution is studied with the fractal theory.
典型的例子包括图形处理、强力搜索、分形和粒子模拟。
Classic examples include graphics processing, brute -force searching, fractals, and particle simulations.
结痂的盐层展现出一种非常一致的随机图案模式，这就是分形的特征。
The encrusted salt shows a remarkably consistent but random pattern, a characteristic of fractals.
实验表明，用这种方法可在光学上产生简单的规则分形图像。
Experiments show that the regular fractal pattern can be generated by this method.
首先我创建了一个分形噪声，随着时间的演变使用表达式层。
Firstly I created a layer of fractal noise that evolved over time using an expression.
当你实现你自己的改变时，想象自己是一个分形图形中的一个初始形状。
As you embrace your change, picture yourself as the initial shape in a fractal image.
这个生态系统在本质上是分形的：这个组织可以在其体系结构的不同领域找到。
This ecosystem is fractal in nature: this organization in its architecture can be found at various scopes.
结论表明，对于工程上关心的断裂尺度特征，实质上是一个分形结构。
It concludes that, the fault dimension characteristic, as concerned in engineering circles, is substantially a fractal structure.
利用此迭代函数系统构造了一类分形插值曲面，并做了若干数值实验。
Using this IFS we construct a kind of fractal interpolation surface, and make some experiment.
它支持一个波形示波器，分形图案，和一个随音乐跳动的不定形亮点。
It sports a waveform oscilloscope, fractal terrain, and an amorphous blob that pulsates to the music.
分形几何提供了一种描述这种不规则复杂现象中的秩序和结构的新方法。
Divided the shape geometry to provide one kind to describe in this kind of irregular complex phenomenon order and the structure new method.
分形是从混沌方程形成的一系列图形，包含不断放大的复杂自相似图案。
Fractals are patterns formed from chaotic equations and contain self-similar patterns of complexity increasing with magnification.
分形几何是研究无限复杂但具有一定意义下自相似图形和结构的几何学。
Divides the shape geometry is the research infinite is complex but has under the certain significance from the similar figures and the structure geometry.
把一个分形放大，你会看到更多的复杂性和重复性。这张图片被称为“海马尾巴”。
Zooming in on a fractal reveals ever-increasing complexity and repetition. This section is known as a "seahorse tail."
曼德尔勃特集合给图像设计师带来了许多乐趣。这里有几个可供下载的分形几何软件。
Graphic designers have lots of fun with the Mandelbrot set. There are several fractal geometry software programs available for download.
有些人喜爱分形艺术，这本身就是一类形式、颜色、细节与光线非常多变的艺术作品。
Same goes for the fractal art which itself is a very diversified form of artwork in terms of forms, colors, details and lights.
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