英语释义

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

片语

Fractal interpolation不规则碎片形插值

fractal feature分形特征

Fractal DesignFractal Design was a US software company, originally known as Fractal Software and founded in 1985. It merged into MetaCreations in 1997.

fractal compressionFractal compression is a lossy compression method for digital images, based on fractal The method is best suited for textures and natural images, relying on the fact that parts of an image often resemble other parts of the same image.

fractal dimension[力] 分形维数；碎形维度

Fractal antennaAn example of a fractal antenna: a space-filling curve called a Minkowski Island (ref 1)

Ultimate Fractal分形图创建工具

Fractal dimensions[力] 分形维数；碎形维度

fractal geometry分形几何；碎形几何；不规则碎片几何体

Fractal physics分形物理学

英汉例句

• of course it includes several educational math and logic games you'd expect to see, it also features a few apps like the real-time fractal zoomer xaos, designed to encourage higher learning.

  当然，它也包含许多你想看到的教育性数学和逻辑游戏，也采用了一些像是实时分形缩放的xaos 之类的软件，用来鼓励学习更高一级的内容。

• there are several fractal geometry software programs available for download.

  这里有几个可供下载的分形几何软件。

• you, as an individual, wish to effect change (the initial fractal shape).

  你，作为一个个体，希望实现一个改变（最初的分形形状）。

• fractal properties of quantum spacetime.? physical review letters 102, 111303 (2009).

  更多信息请参见：benedetti, dario，「量子时空的分形维度」，《物理评论快报》 102,111303期（2009）

• these features are referred to as self-similar, or fractal laws.

  这些特征涉及到自相似，或分形律。

• the mandelbrot set has inspired some nerd-tastic creations, like fractal ties and even this cross-stitch found on flickr.

  曼德尔勃特集合激发了一些书呆子式的灵感，比如分形领结以及flickr上的这个十字绣图案。

• as you embrace your change, picture yourself as the initial shape in a fractal image.

  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。

• 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.

  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。

• this ecosystem is fractal in nature: this organization in its architecture can be found at various scopes.

  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。

• graphic designers have lots of fun with the mandelbrot set. there are several fractal geometry software programs available for download.

  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。

• 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.

  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。

• this false-color image above, of the grand canyon, displays the fractal pattern created by the colorado river over millions of years. red indicates areas of vegetation in the image.

  上面这幅大峡谷（grandcanyon）的伪彩色照片展示了科罗拉多河（coloradoriver）几百万年的沖刷所形成的分形图案，图中的红色是植被区域。

• benoit mandelbrot, the father of fractal theory and a pioneer in the study of market swings, argues that finance is prone to a 「wild」 randomness not usually seen in nature.

  分形几何理论的创始人同时也是市场波动研究的先驱伯努瓦?曼特罗伯认为金融倾向于一种「野性的」随机，而不是我们在自然界中所常见到的那种随机。

• same goes for the fractal art which itself is a very diversified form of artwork in terms of forms, colors, details and lights.

  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。

• let us look at it from a different angle, let us work from small magnification (a single fractal shape) and move upward in magnification (i.e. to a larger, more global image).

  我们来从另一个角度看，让我们从小尺度开始（一个单独的分形），然后放大到大尺度（到一个大的，更全局的视图）。

• he modeled a tree as cantilevered beams assembled to form a fractal network.

  他将树木当作悬臂结构来建模，并形成一个分形网络。

• zooming in on a fractal reveals ever-increasing complexity and repetition. this section is known as a 「seahorse tail.」

  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」

• 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).

  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）。

• most natural trees grow in a fairly fractal fashion.

  大多数自然生长的树木都是以近乎分形的模式生长的。

• listing 6 has another example, this one embedding a fractal from the deviantart website.

  清单6 中有另一个例子，它嵌入一个来自deviantart网站的分形图。