他们正在做钳形运动，将共和国一分为二。
They are moving in a pincer movement to cut the republic in two.
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.
“这是一个分形问题，”马库斯说。
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.
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.
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.
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.
质量是分形的。
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.
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.
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.
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.
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.
地质构造作用力向上抬升地壳，侵蚀再将地壳撕得支离破碎，山脉从此形成，同时也产生了分形图案。
Mountains are the result of tectonic forces pushing the crust upward and erosion tearing some of that crust down. The resulting pattern is a fractal.
这个悬臂结构只有一端固定；所谓分形，就是指能够分叉成多个部分的结构，每个子结构与母结构是大体近似的。
A cantilevered beam is anchored at only one end; a fractal is a shape that can be split into parts, each of which is a smaller, though sometimes not exact, copy of the larger structure.
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).
取决于你的想法有多么激进，你也许能够，也许不能够在你周围的人群中得到同情的反应(决定了这个分形在整体图像中出现的频率)。
Depending upon how radical your idea is, you may or may not elicit a sympathetic response in those around you (determining the frequency at which the fractal shape appears in the overall image).
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."
数学上的分形（fractals）是一种非常复杂的几何形状，这正是医生所要关注的，它是协助医生区分健康的细胞形态和癌变的一个重要特征。
The mathematics of fractals – very complex geometric shapes – is just what the doctor ordered, helping to capture the difference between the shape of a healthy cell and a cancerous one.
由于它们在所有的尺度上都呈现相似，分形经常被认为具有无限的复杂度（非正式的表述）” （Wikipedia）。
Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms)" (Wikipedia).
花椰菜中的天然不规则分形(Fractal)。
已经灭绝了6500万年之久的菊石是一种带有多室螺旋状外壳的海洋头足类动物，其小室之间的阻隔即缝合线就是一种复杂的分形曲线。
Extinct for 65 million years, ammonites were Marine cephalopods that built chambered spiral shells. The walls between these Chambers, called sutures, were complex fractal curves.
这是最著名的的分形朱莉娅集（Julia set）的一个版本。 分形这一概念是曼德布罗特(B.B.Mandelbort)最先提出来的。
This is a version of one of the best known fractals, the Julia set.
通过使用新的分析技术，埃雷兹·李伯曼和他的同事发现，基因组片段紧密地构成了一个“分形球”（译注：想象一下由面条揉成的球），尽管基因组片段相互扭曲纠缠，但它们之间却没有节点（译注：也就是面条球里的每根面条都不相交）。
Using new analytic techniques, Erez Lieberman and colleagues found that the genome is packed into what’s called a “fractal globule”—despite being intensely twisted, the string of genes never knots.
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.
这个报价是描述一个分形性质或结构模式在市场上是规模较小的水平相同，因为它在更大的程度是存在的。
This quote is describing a fractal nature or structural pattern existing in the markets that is the same on smaller levels as it is at larger levels.
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.
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.
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.
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