In vitrain bands the density and fractal dimension of fractures related to the thickness and lithotyp...
岩研究在预测层渗透性有重要意义。
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I am that still magical, mystical, fractal of universal consciousness known as human being.
我还那个宇宙意识的神奇、神秘的形,也就人类。
Fractal geometry is currently applied in many fields.
形几何目前在许多领域都有应用。
In mathematics, this is because of a concept known as fractals.
在数学中,这形的概念。
But there is a similar concept that can be found in mathematics called fractals.
但在数学中可以找一个类似的概念,叫做形。
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 我在想形方程。
The term fractal was coined by Benoit Mandelbrot who was working at computer giant IBM in 1980.
形一词 1980 年在计算机巨头 IBM 工作的伯努瓦·曼德勃罗创造的。
This would become known as the Mandelbrot set — an infinite geometrical visualisation of a fractal.
这就众所周知的曼德勃罗集合——形的无限几何可视效果。
So Tom wore what's known as a fractal suit.
所以汤姆穿着所谓的形套装。
Still... one pressing question is why we get fractals at all?
不过… … 一个紧迫的问题什么我们会形?
When we could not grasp being mere fractals in one collective being.
当我们无法理解自己只一个集体存在中的形时。
Fractals are used in, like, everything from predicting natural disasters to metallurgy.
形体能被用于...万事万物从预测自然灾害冶金术。
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,由于形的高度复杂和神秘的性质,形的最大用途尚未被发现。
A better name might be something like " space-filling fractal, " which some people do use.
更好的名字可能“空间填充形”,有些人确实使用过。
The main takeaway for this particular section is the link between the chaos and the fractal.
这个特定部的主要内容混沌和形之间的联系。
What's more, appealing pieces both abstract and representational, show signs of 'fractals'- repeated motifs recurring in different scales.
不仅如此,这些吸引人的作品,不管抽象派还具象派,都表现出了“形”的特点——重复的图案以不同尺寸重现。
Fractals are common throughout nature, for example in the shapes of mountain peaks or the branches of trees.
形在整个自然界中都很常见,例如山顶或树枝的形状。
Today we know this is called fractals in mathematics, and da Vinci had similar thoughts at the time.
今天我们知道这在数学中被称形,达芬奇当时也有类似的想法。
What you end up with is a kind of fractal pattern, where communities themselves function like individuals.
你最终的一种形图案,其中社区本身像个人一样发挥作用。
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.
当三角形还小,你还看不出什么。不过如果你加上成千上万行,你会一个形,也就谢尔宾斯基三角形。
As a matter of fractal, who'd want to flake out on a chance to branch out and capture some frozen flake-tography.
作一个形问题,谁会想抓住机会支并捕获一些冻结的片状图。
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