In vitrain bands the density and fractal dimension of fractures related to the thickness and lithotyp...
岩结究在预测层渗透有重要意义。
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I am that still magical, mystical, fractal of universal consciousness known as human being.
我还是那个宇宙意识的神奇、神秘的分,也就是人。
Fractal geometry is currently applied in many fields.
分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,这是因为分的概念。
But there is a similar concept that can be found in mathematics called fractals.
但在数学中可以找到一个似的概念,叫做分。
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 我在想分方程。
The term fractal was coined by Benoit Mandelbrot who was working at computer giant IBM in 1980.
分一词是 1980 年在计算机巨头 IBM 工作的伯瓦·曼德勃罗创造的。
This would become known as the Mandelbrot set — an infinite geometrical visualisation of a fractal.
这就是众所周知的曼德勃罗集合——分的无限几何可效果。
So Tom wore what's known as a fractal suit.
所以汤姆穿着所谓的分套装。
Still... one pressing question is why we get fractals at all?
不过… … 一个紧迫的问题是为什么我们会得到分?
When we could not grasp being mere fractals in one collective being.
当我们无法理解自己只是一个集体存在中的分时。
Fractals are used in, like, everything from predicting natural disasters to metallurgy.
分体能被用于...万事万物从预测自然灾害到冶金术。
Some believe that, due to their highly complex and mysterious nature, the greatest use of fractals is yet to be discovered.
一些人认为,由于分的高度复杂和神秘的性质,分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.
更好的名字可能是“空间填充分”,有些人确实使用过。
The main takeaway for this particular section is the link between the chaos and the fractal.
这个特定部分的主要内容是混沌和分之间的联系。
Fractals are common throughout nature, for example in the shapes of mountain peaks or the branches of trees.
分在整个自然界中都很常见,例如山顶或树枝的状。
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为分,达芬奇当时也有似的想法。
What you end up with is a kind of fractal pattern, where communities themselves function like individuals.
你最终得到的是一种分图案,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,也就是谢尔宾斯基三角。
As a matter of fractal, who'd want to flake out on a chance to branch out and capture some frozen flake-tography.
作为一个分问题,谁会想抓住机会分支并捕获一些冻结的片状图。
A classic example of a fractal in nature is broccoli — in that the whole stalk is a similar version of one of its branches.
自然界中分的一个经典例子是西兰花——整个茎是它的一个分支的相似版本。
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