Nobody will deny that there is at least some roughness everywhere
BENOIT MANDELBROTBottomless wonders spring from simple rules, which are repeated without end.
More Benoit Mandelbrot Quotes
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The Mandelbrot set is the most complex mathematical object known to mankind.
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Think not of what you see, but what it took to produce what you see.
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The techniques I developed for studying turbulence, like weather, also apply to the stock market
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Order doesn’t come by itself.
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I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal.
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In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.
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If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).
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I spent my time very nicely in many ways, but not fully satisfactory. Then I became Professor in France, but realized that I was not – for the job that I should spend my life in.
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Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
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When people ask me what’s my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one.
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Bottomless wonders spring from simple rules, which are repeated without end.
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A formula can be very simple, and create a universe of bottomless complexity.
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The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.
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There are very complex shapes which would be the same from close by and far away.
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Beautiful, damn hard, increasingly useful. That’s fractals.
BENOIT MANDELBROT