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.
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.
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."
分形几何的出现扩展了我们对建筑的维度与比例的传统认识。
The appearance of fractal geometry extended our former understanding about dimension and scale of architecture.
初步研究结果表明，用分形几何解释某些岩土问题是十分有效的。
The result of study shows that applying the fractal geometry to explain some problems in geotechnology is very effective.
实验结果表明，该方法可以比较方便地生成形态逼真的三维分形树。
The experimental results show that the method can easily generate realistic three-dimensional form of fractal trees.
分形艺术也是近年来世界流行的艺术形式，是科学与艺术完美的结合。
Fractal art is an artistic form, much in fashion in recent years, as well as the perfect combination of science and arts.
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.
分形设计为商标和标识设计提供了一种全新的艺术与科学相统一的表现形式。
Fractal design has created a completely new artistic and scientific style in label and logo design.
结果表明，在高中数学课程中开设“分形几何”这一选修专题不但必要而且可行。
The results show that setting fractal geometry as a selected topic at high school is not only necessary but also feasible.
分形理论作为一种描述客观世界的几何工具，在短短的时间内已成功应用于许多学科。
As a mathematic tool of modeling natural geometry, fractal theory has been found wide applications in varied fields with great success.
用分形与多重分形的方法研究地球化学场中地球化学指标的分布规律具有重要的意义。
It is of great significance to study the distribution of geochemical indexes in geochemical fields by means of non-linear approaches.
主要由轻质混凝土预制系统来建造，形状来自于埃塞俄比亚当地传统纺织物的分形图案。
It was built using a lightweight concrete prefab system, and the shapes come from a traditional Ethiopian fractal pattern commonly found in the local fabrics.
分形理论为研究喷瓷管道的密着性提供了一种新的方法，为深入研究瓷层的密着性奠定了基础。
The fractal theory provided a new way for investigating the adherence of spray-enameled pipe, and founded further investigation base for the adherence of enamel coating.
储层具有分形性质，有助于定量地将地质模型与数学模型有机结合起来，对油田开发具有重大意义。
The fractal property of reservoir is helpful to combine the geological model and mathematical model which is important to exploit oil field.
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.
分形几何能够定量化地描述自然界中各类极不规则的复杂现象，在各个科学领域都得到了广泛的应用。
Fractal geometry can provide quantitative methods to describe numerous irregular and complicated phenomena in nature, and has widely been used in many scientific fields.
实验表明絮凝体的分形维数与絮凝条件有较强的相关性，可以作为混凝投药系统优化设计的主控参量之一。
The results showed that the fractal dimensions had good response to the flocculation conditions, and it can be used as one of the main parameters of coagulant dosing system.
运用分形理论，不仅可以定性，而且可以定量地分析系统的运动状态，从而实现对复杂机械系统的故障诊断。
Used with fractal theory, the running state of the system can be analyzed not qualitatively but also quantitatively, and then the faults of complex machinery system can be diagnosed.
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).
分形图像压缩编码是当今图像编码领域研究的热点之一，是一种具有独特优势且极有发展前途的数据压缩技术。
Fractal image coding is one of researching focuses in image coding field at present. It is a kind of data compression technique with special advantages and a good developing future.
结合纺织CAD系统，可将分形的美通过纺织品表达出来，并为印花、针织、提花和绣花图案的创作带来灵感源泉。
Using CAD system, the beauty of fractals can be expressed by textile products. Fractal images will also offer inspiration for the designing of printing, knitting, jacquard and embroidery patterns.
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.
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.
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.
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