Examples of using Fractals in English and their translations into Chinese
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HTML5 Fractal Playground[38]- draws iterating-function generated fractals, such as the Mandelbrot fractal. .
HTML5FractalPlayground[38]-绘制迭代函数生成的分形，例如Mandelbrotfractal。There was speculation that the editor-in-chief of Elsevier journal Chaos, Solitons& Fractals, Mohamed El Naschie, misused his power to publish his own work without appropriate peer review.
Fractals help us study and understand important scientific concepts, such as the way bacteria grow, patterns in freezing water(snowflakes) and brain waves, for example.
WhiteClouds说：“分形可以帮助我们学习和了解重要的科学概念，例如细菌生长方式，冻水（雪花），脑波等模式。The book describes the anomalous physical laws discovered during 1980-2000 in fractals and disordered systems, many of them by Prof. Havlin and his collaborators.
这本书描述了在1980-2000年间在分形和无序系统中发现的异常物理定律，其中许多是由哈夫林教授和他的合作者发现的。And then in 1977, Benoit Mandelbrot, a French mathematician, realized that if you do computer graphics and used these shapes he called fractals, you get the shapes of nature.
直到1977年，一位名为BenoitMandelbrot的法国数学家意识到如果人们通过计算机来生成这些他叫做“分形”的图形，便可以得到大自然的形状。And finally, the fractals have self-similarity-- so they're similar to themselves, but they're not necessarily similar to each other-- you see very different uses for fractals.
最后一点，分形是具有自我相似性的---可是它们只需自我相似，互相之间却未必是相似的---对于分形的不同应用有很多种，.It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.
它描述了我们周围的许多不规则和支离破碎的形状，并通过鉴别出一族我称为分形的形状，创立了相当成熟的理论。Also in the last part of that century, Felix Klein and Henri Poincaré introduced a category of fractal that has come to be called"self-inverse" fractals.
同样的，在那个世纪的末尾，菲利克斯·克莱因和儒勒·昂利·庞加莱也提出了一种称为“自逆”分形的分形。Mandelbrot's work showed that natural structures once believed to be chaotic or irregular, such as trees, lightning or leaves of ferns, were actually fractals.
曼德博的研究表明，曾经被认为是混乱或不规则的自然结构，如树木、闪电或蕨类植物的叶子，实际上是分形的。Fractal has clients in over 100 countries and currently employs 800 people.
Fractal客户遍布全球100多个国家，目前员工超过800人。Thus they form a fractal structure.
从而形成一个嵌套结构。He noticed that the fractal structure was repeated in reduced-size objects.
他注意到分型结构在缩小后的对象中重复出现。Fractal Design 's.
Sfx-l设计的.The Fractal team told me they are working on reducing the proof size.
Fractal团队告诉我，他们正在努力缩小证明的大小。This time it is a fractal.
这次是来说一个漏误的。The price of BTC is definitely following a fractal from 2018 December.
BTC的价格肯定遵循201812月以来的分形。Some of the vendors are Amazon, Fractal Analytics, Google, H2O.
示例供应商：Amazon，FractalAnalytics，Google，H2O.First the context: Many natural systems exhibit fractal organization and behavior.
首先是背景：许多自然系统表现出分形的组织和行为。A great example I saw lately was a Mandelbrot fractal renderer creating a span for each pixel written in SASS and needing 5 minutes to compile.
我最近看到的一个很好的例子是Mandelbrot分形渲染器为写入的每个像素创建一个跨度萨斯需要5分钟来编译.Finally, in 1975 Mandelbrot coined the word"fractal" to denote an object whose Hausdorff-Besicovitch dimension is greater than its topological dimension.
最终，曼德博在1975年提出了“碎形”一词，来标记一个豪斯多夫-贝西科维奇维数大于拓扑维数的物件。
