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In vitrain bands the density and fractal dimension of fractures related to the thickness and lithotyp...

岩结构在预测面有重要意义。

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传说之境

But there is a similar concept that can be found in mathematics called fractals.

但在数学中到一个类似概念,叫做分形。

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BBC Ideas 精选(双语)

Fractal geometry is currently applied in many fields.

分形几何目前在许多领域都有应用。

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传说之境

In mathematics, this is because of a concept known as fractals.

在数学中,这是因为分形概念。

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生活大爆炸 第4季

That's all. I've just been thinking about it. Now, I'm thinking about fractal equations.

没什么 我就想了下 现在 我在想分形方程。

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BBC Ideas 精选(双语)

The term fractal was coined by Benoit Mandelbrot who was working at computer giant IBM in 1980.

分形一词是 1980 年在计算机巨头 IBM 工作伯努瓦·曼德勃罗创造

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BBC Ideas 精选(双语)

This would become known as the Mandelbrot set — an infinite geometrical visualisation of a fractal.

这就是众所周知曼德勃罗集合——分形无限几何视效果。

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电台实验室

When we could not grasp being mere fractals in one collective being.

我们无法理解自己只是一个集体存在中分形时。

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透视百科影视类

So Tom wore what's known as a fractal suit.

汤姆穿着所谓分形套装。

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猫鼠游戏 第2季

Fractals are used in, like, everything from predicting natural disasters to metallurgy.

分形体能被用于...万事万物从预测自然灾害到冶金术。

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BBC Ideas 精选(双语)

Some believe that, due to their highly complex and mysterious nature, the greatest use of fractals is yet to be discovered.

一些人认为,由于分形高度复杂和神秘性质,分形最大用途尚未被发现。

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CNN 10 学生英语 2017年2月合集

As a matter of fractal, who'd want to flake out on a chance to branch out and capture some frozen flake-tography.

作为一个分形问题,谁会想抓住机会分支并捕获一些片状图。

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双语版 TED-Ed 演讲精选

It doesn't look like much when the triangle's small, but if you add thousands of rows, you get a fractal known as Sierpinski's Triangle.

三角形还小,你还看不出什么。不过如果你加上成千上万行,你会得到一个分形,也就是谢尔宾斯基三角形。

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BBC Ideas 精选(双语)

It's often said that no two snowflakes are ever the same and fractals offer a fascinating explanation as to why nature works in this way.

人们常说,没有两片雪花是完全相同,而分形理论为解释大自然为何如此运作提供了一个有趣解释。

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BBC Ideas 精选(双语)

A classic example of a fractal in nature is broccoli — in that the whole stalk is a similar version of one of its branches.

自然界中分形一个经典例子是西兰花——整个茎是它一个分支相似版本。

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传说之境

In his 1967 paper titled " How long is the coast of Britain? " Mandelbrot explains the concept of fractals applied to measuring the coast of Britain.

在他 1967 年论文《英国海岸线有多长?》中,曼德布洛特解释了用于测量英国海岸分形概念。

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BBC Ideas 精选(双语)

It's even believed by some that the universe itself may be a fractal and as you zoomed in you would discover it's made up of billions of galaxies.

有些人甚至认为宇宙本身能是一个分形,你放大时,你会发现它由数十亿个星系组成。

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传说之境

This concept was even better explained a decade later in the 1960s by the works of the brilliant mathematician Benoit Mandelbrot, who developed the concept of fractals and geometry.

十年后 20 世纪 60 年代,杰出数学家伯努瓦·曼德布洛特提出了分形和几何概念,他著作对这一概念进行了更好解释。

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传说之境

One of the main properties in geometric fractals is their self-similarity, meaning that no matter how closely you continue to focus on them, the same general shape continues to appear throughout.

几何分形一个主要特性是它们自相似性,这表明无论你如何近地关注它们,相同一般形状都会继续出现在整个过程中。

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传说之境

And it's also why it's pretty much impossible to ever come to a consensus on the length of any country's coastline because every landmass is irregularly shaped like fractals art.

这也是为什么几乎不能就任何国家海岸线长度达成共识,因为每个大陆都是不规则形状,就像分形艺术一样。

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透视百科影视类

For 2021's " No Way Home, " Tom wore what's known as a fractal suit, an upgrade that fine-tuned and tracked the movement even more than regular mo-cap tracking suits.

在 2021 年“无路归”中,汤姆穿着所谓分形套装,这是一种升级版,它比普通动作捕捉套装更能微调和跟踪动作。

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