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.
我还宇宙意识神奇、神秘形,也就人类。
In mathematics, this is because of a concept known as fractals.
在数学中,这因为形概念。
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。
But there is a similar concept that can be found in mathematics called fractals.
但在数学中可以找到一类似概念,叫做形。
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 工作伯努瓦·曼德勃罗创造。
This would become known as the Mandelbrot set — an infinite geometrical visualisation of a fractal.
这就众所周知曼德勃罗集合——形无限几何可视效果。
Fractal geometry is currently applied in many fields.
形几何目前在许多领域都有应用。
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,由于形高度复杂和神秘性质,形最大用途尚未被发现。
So Tom wore what's known as a fractal suit.
所以汤姆穿了一件所形服装。
And then inside of that, it's about being a fractal of something larger than yourself.
然后,在这过程中,关键在于成为某种超越自我更大事物一形。
So to me, citizen is being a fractal of belonging to this species, right?
因此,对我而言,“公民”意味着成为这物种归属感形体现,对吧?
So- You can see this in fractals.
所以——你可以在形中看到这一点。
And so that's what we're living in a fractal holographic light matrix.
所以我们生活在一形全息光矩阵中。
From the breath to the fractal patterns of nature.
从呼吸到自然界形图案。
Their art would seem like math to us or would seem like fractal light shows.
他们艺术对我们来说可能像数学,或者像形光影秀。
So he starts going on to the ways that this begins to fractal in complexity.
于,他开始深入探讨这一现象如何在复杂性上呈现出形扩展多种途径。
OK, so the reason I want to show this, though, is for an entire fractal.
好,我之所以想展示这,为了展示一完整形结构。
When we could not grasp being mere fractals in one collective being.
当我们无法理解自己只一集体存在中形时。
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到冶金术。
A better name might be something like " space-filling fractal, " which some people do use.
一更好名字可能“空间填充形”之类,有些人确实使用这名字。
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